diff options
Diffstat (limited to 'test/golden/geometry')
| -rw-r--r-- | test/golden/geometry/encoding tasks.golden | 109 | ||||
| -rw-r--r-- | test/golden/geometry/generating tasks.golden | 17323 | ||||
| -rw-r--r-- | test/golden/geometry/glossing.golden | 2775 | ||||
| -rw-r--r-- | test/golden/geometry/verification.golden | 11 |
4 files changed, 0 insertions, 20218 deletions
diff --git a/test/golden/geometry/encoding tasks.golden b/test/golden/geometry/encoding tasks.golden deleted file mode 100644 index a9d055b..0000000 --- a/test/golden/geometry/encoding tasks.golden +++ /dev/null @@ -1,109 +0,0 @@ -fof(zf_q0,conjecture,zf_u3(zf_f0,zf_f1,zf_f0,zf_f1)). -fof(zf_h0,axiom,![V0,V1,V2,V3,V4,V5,V6,V7]:((zf_u1(V0)&zf_u1(V1)&zf_u1(V2)&zf_u1(V3)&zf_u1(V4)&zf_u1(V5)&zf_u1(V6)&zf_u1(V7))=>((zf_u4(V0,V1,V2,V3,V4,V5,V6,V7)&V0!=V1)=>zf_u3(V2,V3,V6,V7)))). -fof(zf_h1,axiom,![V8,V9,V10,V11,V12,V13,V14,V15]:((zf_u1(V8)&zf_u1(V9)&zf_u1(V10)&zf_u1(V11)&zf_u1(V12)&zf_u1(V13)&zf_u1(V14)&zf_u1(V15))=>(zf_u4(V8,V9,V10,V11,V12,V13,V14,V15)<=>(zf_u2(V8,V9,V10)&zf_u2(V12,V13,V14)&zf_u3(V8,V9,V12,V13)&zf_u3(V9,V10,V13,V14)&zf_u3(V8,V11,V12,V15)&zf_u3(V9,V11,V13,V15))))). -fof(zf_h2,axiom,![V16,V17,V18,V19,V20,V21]:((zf_u1(V16)&zf_u1(V17)&zf_u1(V18)&zf_u1(V19)&zf_u1(V20)&zf_u1(V21))=>((zf_u2(V16,V19,V18)&zf_u2(V17,V20,V18))=>?[V22]:(zf_u1(V22)&zf_u2(V19,V22,V17)&zf_u2(V20,V22,V16))))). -fof(zf_h3,axiom,![V23,V24,V25,V26,V27,V28]:((zf_u1(V23)&zf_u1(V24)&zf_u1(V25)&zf_u1(V26))=>((zf_u3(V25,V26,V23,V24)&zf_u3(V25,V26,V27,V28))=>zf_u3(V23,V24,V27,V28)))). -fof(zf_h4,axiom,![V29,V30,V31,V32,V33]:((zf_u1(V29)&zf_u1(V30)&zf_u1(V31)&zf_u1(V32)&zf_u1(V33))=>((zf_u3(V29,V32,V29,V33)&zf_u3(V30,V32,V30,V33)&zf_u3(V31,V32,V31,V33)&V32!=V33)=>zf_u0(V29,V30,V31)))). -fof(zf_h5,axiom,![V34,V35,V36,V37]:?[V38]:(zf_u1(V38)&zf_u2(V34,V35,V38)&zf_u3(V35,V38,V36,V37))). -fof(zf_h6,axiom,![V39,V40,V41]:((zf_u1(V39)&zf_u1(V40)&zf_u1(V41))=>(zf_u3(V39,V40,V41,V41)=>V39=V40))). -fof(zf_h7,axiom,![V42,V43,V44]:(zf_u0(V42,V43,V44)<=>(zf_u2(V42,V43,V44)|zf_u2(V43,V44,V42)|zf_u2(V44,V42,V43)))). -fof(zf_h8,axiom,![V45,V46]:((zf_u1(V45)&zf_u1(V46))=>(zf_u2(V45,V46,V45)=>V45=V46))). -fof(zf_h9,axiom,![V47,V48]:((zf_u1(V47)&zf_u1(V48))=>zf_u3(V47,V48,V48,V47))). -fof(zf_h10,axiom,zf_u1(zf_f0)). -fof(zf_h11,axiom,zf_u1(zf_f1)). ------------------- -fof(zf_q0,conjecture,zf_u3(zf_f2,zf_f3,zf_f0,zf_f1)). -fof(zf_h0,axiom,![V0,V1,V2,V3,V4,V5,V6,V7]:((zf_u1(V0)&zf_u1(V1)&zf_u1(V2)&zf_u1(V3)&zf_u1(V4)&zf_u1(V5)&zf_u1(V6)&zf_u1(V7))=>((zf_u4(V0,V1,V2,V3,V4,V5,V6,V7)&V0!=V1)=>zf_u3(V2,V3,V6,V7)))). -fof(zf_h1,axiom,![V8,V9,V10,V11,V12,V13,V14,V15]:((zf_u1(V8)&zf_u1(V9)&zf_u1(V10)&zf_u1(V11)&zf_u1(V12)&zf_u1(V13)&zf_u1(V14)&zf_u1(V15))=>(zf_u4(V8,V9,V10,V11,V12,V13,V14,V15)<=>(zf_u2(V8,V9,V10)&zf_u2(V12,V13,V14)&zf_u3(V8,V9,V12,V13)&zf_u3(V9,V10,V13,V14)&zf_u3(V8,V11,V12,V15)&zf_u3(V9,V11,V13,V15))))). -fof(zf_h2,axiom,![V16,V17,V18,V19,V20,V21]:((zf_u1(V16)&zf_u1(V17)&zf_u1(V18)&zf_u1(V19)&zf_u1(V20)&zf_u1(V21))=>((zf_u2(V16,V19,V18)&zf_u2(V17,V20,V18))=>?[V22]:(zf_u1(V22)&zf_u2(V19,V22,V17)&zf_u2(V20,V22,V16))))). -fof(zf_h3,axiom,![V23,V24,V25,V26,V27,V28]:((zf_u1(V23)&zf_u1(V24)&zf_u1(V25)&zf_u1(V26))=>((zf_u3(V25,V26,V23,V24)&zf_u3(V25,V26,V27,V28))=>zf_u3(V23,V24,V27,V28)))). -fof(zf_h4,axiom,![V29,V30,V31,V32,V33]:((zf_u1(V29)&zf_u1(V30)&zf_u1(V31)&zf_u1(V32)&zf_u1(V33))=>((zf_u3(V29,V32,V29,V33)&zf_u3(V30,V32,V30,V33)&zf_u3(V31,V32,V31,V33)&V32!=V33)=>zf_u0(V29,V30,V31)))). -fof(zf_h5,axiom,![V34,V35,V36,V37]:?[V38]:(zf_u1(V38)&zf_u2(V34,V35,V38)&zf_u3(V35,V38,V36,V37))). -fof(zf_h6,axiom,![V39,V40,V41]:((zf_u1(V39)&zf_u1(V40)&zf_u1(V41))=>(zf_u3(V39,V40,V41,V41)=>V39=V40))). -fof(zf_h7,axiom,![V42,V43,V44]:(zf_u0(V42,V43,V44)<=>(zf_u2(V42,V43,V44)|zf_u2(V43,V44,V42)|zf_u2(V44,V42,V43)))). -fof(zf_h8,axiom,![V45,V46]:((zf_u1(V45)&zf_u1(V46))=>(zf_u2(V45,V46,V45)=>V45=V46))). -fof(zf_h9,axiom,![V47,V48]:((zf_u1(V47)&zf_u1(V48))=>zf_u3(V47,V48,V47,V48))). -fof(zf_h10,axiom,![V49,V50]:((zf_u1(V49)&zf_u1(V50))=>zf_u3(V49,V50,V50,V49))). -fof(zf_h11,axiom,zf_u1(zf_f0)). -fof(zf_h12,axiom,zf_u1(zf_f1)). -fof(zf_h13,axiom,zf_u1(zf_f2)). -fof(zf_h14,axiom,zf_u1(zf_f3)). -fof(zf_h15,axiom,zf_u3(zf_f0,zf_f1,zf_f2,zf_f3)). ------------------- -fof(zf_q0,conjecture,(zf_u3(zf_f0,zf_f1,zf_f2,zf_f3)&zf_u3(zf_f2,zf_f3,zf_f4,zf_f5))=>zf_u3(zf_f0,zf_f1,zf_f4,zf_f5)). -fof(zf_h0,axiom,![V0,V1,V2,V3,V4,V5,V6,V7]:((zf_u1(V0)&zf_u1(V1)&zf_u1(V2)&zf_u1(V3)&zf_u1(V4)&zf_u1(V5)&zf_u1(V6)&zf_u1(V7))=>((zf_u4(V0,V1,V2,V3,V4,V5,V6,V7)&V0!=V1)=>zf_u3(V2,V3,V6,V7)))). -fof(zf_h1,axiom,![V8,V9,V10,V11,V12,V13,V14,V15]:((zf_u1(V8)&zf_u1(V9)&zf_u1(V10)&zf_u1(V11)&zf_u1(V12)&zf_u1(V13)&zf_u1(V14)&zf_u1(V15))=>(zf_u4(V8,V9,V10,V11,V12,V13,V14,V15)<=>(zf_u2(V8,V9,V10)&zf_u2(V12,V13,V14)&zf_u3(V8,V9,V12,V13)&zf_u3(V9,V10,V13,V14)&zf_u3(V8,V11,V12,V15)&zf_u3(V9,V11,V13,V15))))). -fof(zf_h2,axiom,![V16,V17,V18,V19,V20,V21]:((zf_u1(V16)&zf_u1(V17)&zf_u1(V18)&zf_u1(V19)&zf_u1(V20)&zf_u1(V21))=>((zf_u2(V16,V19,V18)&zf_u2(V17,V20,V18))=>?[V22]:(zf_u1(V22)&zf_u2(V19,V22,V17)&zf_u2(V20,V22,V16))))). -fof(zf_h3,axiom,![V23,V24,V25,V26,V27,V28]:((zf_u1(V23)&zf_u1(V24)&zf_u1(V25)&zf_u1(V26))=>((zf_u3(V25,V26,V23,V24)&zf_u3(V25,V26,V27,V28))=>zf_u3(V23,V24,V27,V28)))). -fof(zf_h4,axiom,![V29,V30,V31,V32,V33]:((zf_u1(V29)&zf_u1(V30)&zf_u1(V31)&zf_u1(V32)&zf_u1(V33))=>((zf_u3(V29,V32,V29,V33)&zf_u3(V30,V32,V30,V33)&zf_u3(V31,V32,V31,V33)&V32!=V33)=>zf_u0(V29,V30,V31)))). -fof(zf_h5,axiom,![V34,V35,V36,V37]:((zf_u1(V34)&zf_u1(V35)&zf_u1(V36)&zf_u1(V37)&zf_u3(V34,V35,V36,V37))=>zf_u3(V36,V37,V34,V35))). -fof(zf_h6,axiom,![V38,V39,V40,V41]:?[V42]:(zf_u1(V42)&zf_u2(V38,V39,V42)&zf_u3(V39,V42,V40,V41))). -fof(zf_h7,axiom,![V43,V44,V45]:((zf_u1(V43)&zf_u1(V44)&zf_u1(V45))=>(zf_u3(V43,V44,V45,V45)=>V43=V44))). -fof(zf_h8,axiom,![V46,V47,V48]:(zf_u0(V46,V47,V48)<=>(zf_u2(V46,V47,V48)|zf_u2(V47,V48,V46)|zf_u2(V48,V46,V47)))). -fof(zf_h9,axiom,![V49,V50]:((zf_u1(V49)&zf_u1(V50))=>(zf_u2(V49,V50,V49)=>V49=V50))). -fof(zf_h10,axiom,![V51,V52]:((zf_u1(V51)&zf_u1(V52))=>zf_u3(V51,V52,V51,V52))). -fof(zf_h11,axiom,![V53,V54]:((zf_u1(V53)&zf_u1(V54))=>zf_u3(V53,V54,V54,V53))). -fof(zf_h12,axiom,zf_u1(zf_f0)). -fof(zf_h13,axiom,zf_u1(zf_f1)). -fof(zf_h14,axiom,zf_u1(zf_f2)). -fof(zf_h15,axiom,zf_u1(zf_f3)). -fof(zf_h16,axiom,zf_u1(zf_f4)). -fof(zf_h17,axiom,zf_u1(zf_f5)). ------------------- -fof(zf_q0,conjecture,zf_u3(zf_f0,zf_f1,zf_f2,zf_f3)=>zf_u3(zf_f1,zf_f0,zf_f2,zf_f3)). -fof(zf_h0,axiom,![V0,V1,V2,V3,V4,V5,V6,V7]:((zf_u1(V0)&zf_u1(V1)&zf_u1(V2)&zf_u1(V3)&zf_u1(V4)&zf_u1(V5)&zf_u1(V6)&zf_u1(V7))=>((zf_u4(V0,V1,V2,V3,V4,V5,V6,V7)&V0!=V1)=>zf_u3(V2,V3,V6,V7)))). -fof(zf_h1,axiom,![V8,V9,V10,V11,V12,V13,V14,V15]:((zf_u1(V8)&zf_u1(V9)&zf_u1(V10)&zf_u1(V11)&zf_u1(V12)&zf_u1(V13)&zf_u1(V14)&zf_u1(V15))=>(zf_u4(V8,V9,V10,V11,V12,V13,V14,V15)<=>(zf_u2(V8,V9,V10)&zf_u2(V12,V13,V14)&zf_u3(V8,V9,V12,V13)&zf_u3(V9,V10,V13,V14)&zf_u3(V8,V11,V12,V15)&zf_u3(V9,V11,V13,V15))))). -fof(zf_h2,axiom,![V16,V17,V18,V19,V20,V21]:((zf_u1(V16)&zf_u1(V17)&zf_u1(V18)&zf_u1(V19)&zf_u1(V20)&zf_u1(V21))=>((zf_u2(V16,V19,V18)&zf_u2(V17,V20,V18))=>?[V22]:(zf_u1(V22)&zf_u2(V19,V22,V17)&zf_u2(V20,V22,V16))))). -fof(zf_h3,axiom,![V23,V24,V25,V26,V27,V28]:((zf_u1(V23)&zf_u1(V24)&zf_u1(V25)&zf_u1(V26)&zf_u1(V27)&zf_u1(V28))=>((zf_u3(V23,V24,V25,V26)&zf_u3(V25,V26,V27,V28))=>zf_u3(V23,V24,V27,V28)))). -fof(zf_h4,axiom,![V29,V30,V31,V32,V33,V34]:((zf_u1(V29)&zf_u1(V30)&zf_u1(V31)&zf_u1(V32))=>((zf_u3(V31,V32,V29,V30)&zf_u3(V31,V32,V33,V34))=>zf_u3(V29,V30,V33,V34)))). -fof(zf_h5,axiom,![V35,V36,V37,V38,V39]:((zf_u1(V35)&zf_u1(V36)&zf_u1(V37)&zf_u1(V38)&zf_u1(V39))=>((zf_u3(V35,V38,V35,V39)&zf_u3(V36,V38,V36,V39)&zf_u3(V37,V38,V37,V39)&V38!=V39)=>zf_u0(V35,V36,V37)))). -fof(zf_h6,axiom,![V40,V41,V42,V43]:((zf_u1(V40)&zf_u1(V41)&zf_u1(V42)&zf_u1(V43)&zf_u3(V40,V41,V42,V43))=>zf_u3(V42,V43,V40,V41))). -fof(zf_h7,axiom,![V44,V45,V46,V47]:?[V48]:(zf_u1(V48)&zf_u2(V44,V45,V48)&zf_u3(V45,V48,V46,V47))). -fof(zf_h8,axiom,![V49,V50,V51]:((zf_u1(V49)&zf_u1(V50)&zf_u1(V51))=>(zf_u3(V49,V50,V51,V51)=>V49=V50))). -fof(zf_h9,axiom,![V52,V53,V54]:(zf_u0(V52,V53,V54)<=>(zf_u2(V52,V53,V54)|zf_u2(V53,V54,V52)|zf_u2(V54,V52,V53)))). -fof(zf_h10,axiom,![V55,V56]:((zf_u1(V55)&zf_u1(V56))=>(zf_u2(V55,V56,V55)=>V55=V56))). -fof(zf_h11,axiom,![V57,V58]:((zf_u1(V57)&zf_u1(V58))=>zf_u3(V57,V58,V57,V58))). -fof(zf_h12,axiom,![V59,V60]:((zf_u1(V59)&zf_u1(V60))=>zf_u3(V59,V60,V60,V59))). -fof(zf_h13,axiom,zf_u1(zf_f0)). -fof(zf_h14,axiom,zf_u1(zf_f1)). -fof(zf_h15,axiom,zf_u1(zf_f2)). -fof(zf_h16,axiom,zf_u1(zf_f3)). ------------------- -fof(zf_q0,conjecture,zf_u3(zf_f0,zf_f1,zf_f2,zf_f3)=>zf_u3(zf_f1,zf_f0,zf_f3,zf_f2)). -fof(zf_h0,axiom,![V0,V1,V2,V3,V4,V5,V6,V7]:((zf_u1(V0)&zf_u1(V1)&zf_u1(V2)&zf_u1(V3)&zf_u1(V4)&zf_u1(V5)&zf_u1(V6)&zf_u1(V7))=>((zf_u4(V0,V1,V2,V3,V4,V5,V6,V7)&V0!=V1)=>zf_u3(V2,V3,V6,V7)))). -fof(zf_h1,axiom,![V8,V9,V10,V11,V12,V13,V14,V15]:((zf_u1(V8)&zf_u1(V9)&zf_u1(V10)&zf_u1(V11)&zf_u1(V12)&zf_u1(V13)&zf_u1(V14)&zf_u1(V15))=>(zf_u4(V8,V9,V10,V11,V12,V13,V14,V15)<=>(zf_u2(V8,V9,V10)&zf_u2(V12,V13,V14)&zf_u3(V8,V9,V12,V13)&zf_u3(V9,V10,V13,V14)&zf_u3(V8,V11,V12,V15)&zf_u3(V9,V11,V13,V15))))). -fof(zf_h2,axiom,![V16,V17,V18,V19,V20,V21]:((zf_u1(V16)&zf_u1(V17)&zf_u1(V18)&zf_u1(V19)&zf_u1(V20)&zf_u1(V21))=>((zf_u2(V16,V19,V18)&zf_u2(V17,V20,V18))=>?[V22]:(zf_u1(V22)&zf_u2(V19,V22,V17)&zf_u2(V20,V22,V16))))). -fof(zf_h3,axiom,![V23,V24,V25,V26,V27,V28]:((zf_u1(V23)&zf_u1(V24)&zf_u1(V25)&zf_u1(V26)&zf_u1(V27)&zf_u1(V28))=>((zf_u3(V23,V24,V25,V26)&zf_u3(V25,V26,V27,V28))=>zf_u3(V23,V24,V27,V28)))). -fof(zf_h4,axiom,![V29,V30,V31,V32,V33,V34]:((zf_u1(V29)&zf_u1(V30)&zf_u1(V31)&zf_u1(V32))=>((zf_u3(V31,V32,V29,V30)&zf_u3(V31,V32,V33,V34))=>zf_u3(V29,V30,V33,V34)))). -fof(zf_h5,axiom,![V35,V36,V37,V38,V39]:((zf_u1(V35)&zf_u1(V36)&zf_u1(V37)&zf_u1(V38)&zf_u1(V39))=>((zf_u3(V35,V38,V35,V39)&zf_u3(V36,V38,V36,V39)&zf_u3(V37,V38,V37,V39)&V38!=V39)=>zf_u0(V35,V36,V37)))). -fof(zf_h6,axiom,![V40,V41,V42,V43]:((zf_u1(V40)&zf_u1(V41)&zf_u1(V42)&zf_u1(V43)&zf_u3(V40,V41,V42,V43))=>zf_u3(V42,V43,V40,V41))). -fof(zf_h7,axiom,![V44,V45,V46,V47]:((zf_u1(V44)&zf_u1(V45)&zf_u1(V46)&zf_u1(V47))=>(zf_u3(V44,V45,V46,V47)=>zf_u3(V45,V44,V46,V47)))). -fof(zf_h8,axiom,![V48,V49,V50,V51]:?[V52]:(zf_u1(V52)&zf_u2(V48,V49,V52)&zf_u3(V49,V52,V50,V51))). -fof(zf_h9,axiom,![V53,V54,V55]:((zf_u1(V53)&zf_u1(V54)&zf_u1(V55))=>(zf_u3(V53,V54,V55,V55)=>V53=V54))). -fof(zf_h10,axiom,![V56,V57,V58]:(zf_u0(V56,V57,V58)<=>(zf_u2(V56,V57,V58)|zf_u2(V57,V58,V56)|zf_u2(V58,V56,V57)))). -fof(zf_h11,axiom,![V59,V60]:((zf_u1(V59)&zf_u1(V60))=>(zf_u2(V59,V60,V59)=>V59=V60))). -fof(zf_h12,axiom,![V61,V62]:((zf_u1(V61)&zf_u1(V62))=>zf_u3(V61,V62,V61,V62))). -fof(zf_h13,axiom,![V63,V64]:((zf_u1(V63)&zf_u1(V64))=>zf_u3(V63,V64,V64,V63))). -fof(zf_h14,axiom,zf_u1(zf_f0)). -fof(zf_h15,axiom,zf_u1(zf_f1)). -fof(zf_h16,axiom,zf_u1(zf_f2)). -fof(zf_h17,axiom,zf_u1(zf_f3)). ------------------- -fof(zf_q0,conjecture,zf_u3(zf_f0,zf_f0,zf_f1,zf_f1)). -fof(zf_h0,axiom,![V0,V1,V2,V3,V4,V5,V6,V7]:((zf_u1(V0)&zf_u1(V1)&zf_u1(V2)&zf_u1(V3)&zf_u1(V4)&zf_u1(V5)&zf_u1(V6)&zf_u1(V7))=>((zf_u4(V0,V1,V2,V3,V4,V5,V6,V7)&V0!=V1)=>zf_u3(V2,V3,V6,V7)))). -fof(zf_h1,axiom,![V8,V9,V10,V11,V12,V13,V14,V15]:((zf_u1(V8)&zf_u1(V9)&zf_u1(V10)&zf_u1(V11)&zf_u1(V12)&zf_u1(V13)&zf_u1(V14)&zf_u1(V15))=>(zf_u4(V8,V9,V10,V11,V12,V13,V14,V15)<=>(zf_u2(V8,V9,V10)&zf_u2(V12,V13,V14)&zf_u3(V8,V9,V12,V13)&zf_u3(V9,V10,V13,V14)&zf_u3(V8,V11,V12,V15)&zf_u3(V9,V11,V13,V15))))). -fof(zf_h2,axiom,![V16,V17,V18,V19,V20,V21]:((zf_u1(V16)&zf_u1(V17)&zf_u1(V18)&zf_u1(V19)&zf_u1(V20)&zf_u1(V21))=>((zf_u2(V16,V19,V18)&zf_u2(V17,V20,V18))=>?[V22]:(zf_u1(V22)&zf_u2(V19,V22,V17)&zf_u2(V20,V22,V16))))). -fof(zf_h3,axiom,![V23,V24,V25,V26,V27,V28]:((zf_u1(V23)&zf_u1(V24)&zf_u1(V25)&zf_u1(V26)&zf_u1(V27)&zf_u1(V28))=>((zf_u3(V23,V24,V25,V26)&zf_u3(V25,V26,V27,V28))=>zf_u3(V23,V24,V27,V28)))). -fof(zf_h4,axiom,![V29,V30,V31,V32,V33,V34]:((zf_u1(V29)&zf_u1(V30)&zf_u1(V31)&zf_u1(V32))=>((zf_u3(V31,V32,V29,V30)&zf_u3(V31,V32,V33,V34))=>zf_u3(V29,V30,V33,V34)))). -fof(zf_h5,axiom,![V35,V36,V37,V38,V39]:((zf_u1(V35)&zf_u1(V36)&zf_u1(V37)&zf_u1(V38)&zf_u1(V39))=>((zf_u3(V35,V38,V35,V39)&zf_u3(V36,V38,V36,V39)&zf_u3(V37,V38,V37,V39)&V38!=V39)=>zf_u0(V35,V36,V37)))). -fof(zf_h6,axiom,![V40,V41,V42,V43]:((zf_u1(V40)&zf_u1(V41)&zf_u1(V42)&zf_u1(V43)&zf_u3(V40,V41,V42,V43))=>zf_u3(V42,V43,V40,V41))). -fof(zf_h7,axiom,![V44,V45,V46,V47]:((zf_u1(V44)&zf_u1(V45)&zf_u1(V46)&zf_u1(V47))=>(zf_u3(V44,V45,V46,V47)=>zf_u3(V45,V44,V46,V47)))). -fof(zf_h8,axiom,![V48,V49,V50,V51]:((zf_u1(V48)&zf_u1(V49)&zf_u1(V50)&zf_u1(V51))=>(zf_u3(V48,V49,V50,V51)=>zf_u3(V49,V48,V51,V50)))). -fof(zf_h9,axiom,![V52,V53,V54,V55]:?[V56]:(zf_u1(V56)&zf_u2(V52,V53,V56)&zf_u3(V53,V56,V54,V55))). -fof(zf_h10,axiom,![V57,V58,V59]:((zf_u1(V57)&zf_u1(V58)&zf_u1(V59))=>(zf_u3(V57,V58,V59,V59)=>V57=V58))). -fof(zf_h11,axiom,![V60,V61,V62]:(zf_u0(V60,V61,V62)<=>(zf_u2(V60,V61,V62)|zf_u2(V61,V62,V60)|zf_u2(V62,V60,V61)))). -fof(zf_h12,axiom,![V63,V64]:((zf_u1(V63)&zf_u1(V64))=>(zf_u2(V63,V64,V63)=>V63=V64))). -fof(zf_h13,axiom,![V65,V66]:((zf_u1(V65)&zf_u1(V66))=>zf_u3(V65,V66,V65,V66))). -fof(zf_h14,axiom,![V67,V68]:((zf_u1(V67)&zf_u1(V68))=>zf_u3(V67,V68,V68,V67))). -fof(zf_h15,axiom,zf_u1(zf_f0)). -fof(zf_h16,axiom,zf_u1(zf_f1)).
\ No newline at end of file diff --git a/test/golden/geometry/generating tasks.golden b/test/golden/geometry/generating tasks.golden deleted file mode 100644 index f2be772..0000000 --- a/test/golden/geometry/generating tasks.golden +++ /dev/null @@ -1,17323 +0,0 @@ -[ Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "upperdim" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 10 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 70 - , locColumn = 17 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "innerpasch" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 66 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 37 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "betw_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "five_segment" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 41 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a_" ) - ) - , TermVar - ( B - ( NamedVar "b_" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 8 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "ofs" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "r" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 26 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "r" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 29 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 30 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 32 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 33 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 34 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 35 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "segment_construction" Quantified Universally - ( Scope - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 20 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 62 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "d" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "e" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cong_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_pseudotransitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 58 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_refl_swap" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 7 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "collinear" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 1 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Disjunction - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 64 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 84 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "_local_2" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - , Hypothesis Marker "_local_1" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ] - , taskConjectureLabel = Marker "cong_refl" - , taskLocation = Location - { locFile = "test/examples/geometry.tex" - , locLine = 82 - , locColumn = 1 - } - , taskConjecture = TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 84 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "cong_refl" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 84 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "upperdim" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 10 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 70 - , locColumn = 17 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "innerpasch" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 66 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 37 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "betw_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "five_segment" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 41 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a_" ) - ) - , TermVar - ( B - ( NamedVar "b_" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 8 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "ofs" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "r" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 26 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "r" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 29 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 30 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 32 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 33 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 34 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 35 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "segment_construction" Quantified Universally - ( Scope - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 20 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 62 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "d" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "e" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cong_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_pseudotransitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 58 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_refl_swap" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 7 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "collinear" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 1 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Disjunction - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 64 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 84 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "_local_5" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 90 - , locColumn = 14 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - , Hypothesis Marker "_local_4" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - , Hypothesis Marker "_local_3" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - , Hypothesis Marker "_local_2" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - , Hypothesis Marker "_local_1" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ] - , taskConjectureLabel = Marker "cong_sym" - , taskLocation = Location - { locFile = "test/examples/geometry.tex" - , locLine = 88 - , locColumn = 1 - } - , taskConjecture = TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 91 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "cong_sym" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 90 - , locColumn = 14 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 91 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "cong_refl" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 84 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "upperdim" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 10 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 70 - , locColumn = 17 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "innerpasch" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 66 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 37 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "betw_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "five_segment" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 41 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a_" ) - ) - , TermVar - ( B - ( NamedVar "b_" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 8 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "ofs" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "r" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 26 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "r" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 29 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 30 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 32 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 33 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 34 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 35 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "segment_construction" Quantified Universally - ( Scope - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 20 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 62 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "d" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "e" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cong_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_pseudotransitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 58 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_refl_swap" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 7 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "collinear" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 1 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Disjunction - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 64 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 84 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "_local_6" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "f" ) - ] - , Hypothesis Marker "_local_5" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "e" ) - ] - , Hypothesis Marker "_local_4" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - , Hypothesis Marker "_local_3" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - , Hypothesis Marker "_local_2" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - , Hypothesis Marker "_local_1" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ] - , taskConjectureLabel = Marker "cong_transitive" - , taskLocation = Location - { locFile = "test/examples/geometry.tex" - , locLine = 95 - , locColumn = 1 - } - , taskConjecture = Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "e" ) - , TermVar - ( NamedVar "f" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 98 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "e" ) - , TermVar - ( NamedVar "f" ) - ] - ) - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "cong_transitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "e" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 98 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_sym" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 90 - , locColumn = 14 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 91 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "cong_refl" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 84 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "upperdim" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 10 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 70 - , locColumn = 17 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "innerpasch" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 66 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 37 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "betw_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "five_segment" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 41 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a_" ) - ) - , TermVar - ( B - ( NamedVar "b_" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 8 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "ofs" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "r" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 26 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "r" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 29 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 30 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 32 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 33 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 34 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 35 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "segment_construction" Quantified Universally - ( Scope - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 20 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 62 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "d" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "e" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cong_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_pseudotransitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 58 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_refl_swap" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 7 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "collinear" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 1 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Disjunction - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 64 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 84 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "_local_4" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - , Hypothesis Marker "_local_3" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - , Hypothesis Marker "_local_2" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - , Hypothesis Marker "_local_1" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ] - , taskConjectureLabel = Marker "cong_shuffle_left" - , taskLocation = Location - { locFile = "test/examples/geometry.tex" - , locLine = 102 - , locColumn = 1 - } - , taskConjecture = Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 104 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 105 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "cong_shuffle_left" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 104 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 105 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_transitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "e" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 98 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_sym" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 90 - , locColumn = 14 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 91 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "cong_refl" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 84 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "upperdim" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 10 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 70 - , locColumn = 17 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "innerpasch" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 66 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 37 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "betw_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "five_segment" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 41 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a_" ) - ) - , TermVar - ( B - ( NamedVar "b_" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 8 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "ofs" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "r" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 26 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "r" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 29 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 30 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 32 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 33 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 34 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 35 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "segment_construction" Quantified Universally - ( Scope - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 20 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 62 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "d" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "e" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cong_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_pseudotransitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 58 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_refl_swap" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 7 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "collinear" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 1 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Disjunction - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 64 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 84 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "_local_4" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - , Hypothesis Marker "_local_3" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - , Hypothesis Marker "_local_2" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - , Hypothesis Marker "_local_1" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ] - , taskConjectureLabel = Marker "cong_shuffle_right" - , taskLocation = Location - { locFile = "test/examples/geometry.tex" - , locLine = 109 - , locColumn = 1 - } - , taskConjecture = Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 111 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 112 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "c" ) - ] - ) - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "cong_shuffle_right" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 111 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 112 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_shuffle_left" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 104 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 105 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_transitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "e" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 98 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_sym" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 90 - , locColumn = 14 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 91 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "cong_refl" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 84 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "upperdim" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 10 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 70 - , locColumn = 17 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "innerpasch" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 66 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 37 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "betw_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "five_segment" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c_" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 41 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a_" ) - ) - , TermVar - ( B - ( NamedVar "b_" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 8 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "c_" ) - ) - , TermVar - ( B - ( NamedVar "d_" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "ofs" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "z" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "r" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "u" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "v" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 26 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "z" ) - ) - , TermVar - ( B - ( NamedVar "r" ) - ) - , TermVar - ( B - ( NamedVar "u" ) - ) - , TermVar - ( B - ( NamedVar "v" ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( B - ( NamedVar "p" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 29 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 30 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 32 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 33 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "z" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "w" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 34 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "x" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "u" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 35 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "y" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "r" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "v" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "p" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "segment_construction" Quantified Universally - ( Scope - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 20 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 62 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "d" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "e" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cong_id" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_pseudotransitive" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "d" ) - ) - ] - ) - ) - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( B - ( NamedVar "d" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 58 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "e" ) - ) - , TermVar - ( B - ( NamedVar "f" ) - ) - ] - ) - ) - ) - ) - , Hypothesis Marker "cong_refl_swap" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 7 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "a" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "collinear" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 1 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Disjunction - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 64 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 84 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "c" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "b" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "_local_2" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 117 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - , Hypothesis Marker "_local_1" TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 117 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ] - , taskConjectureLabel = Marker "cong_zero" - , taskLocation = Location - { locFile = "test/examples/geometry.tex" - , locLine = 116 - , locColumn = 1 - } - , taskConjecture = TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 118 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "b" ) - ] - } -]
\ No newline at end of file diff --git a/test/golden/geometry/glossing.golden b/test/golden/geometry/glossing.golden deleted file mode 100644 index 3d097de..0000000 --- a/test/golden/geometry/glossing.golden +++ /dev/null @@ -1,2775 +0,0 @@ -[ BlockDefn - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 1 - , locColumn = 1 - } - ) - ( Marker "collinear" ) - ( DefnPredicate [] - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ( NamedVar "a" :| - [ NamedVar "b" - , NamedVar "c" - ] - ) - ( Connected Disjunction - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 64 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "a" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 2 - , locColumn = 84 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 5 - , locColumn = 1 - } - ) - ( Marker "cong_refl_swap" ) - ( Axiom - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 6 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - ] - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 7 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - ] - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 10 - , locColumn = 1 - } - ) - ( Marker "cong_pseudotransitive" ) - ( Axiom - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 11 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - ) - ] - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "e" ) - , TermVar - ( NamedVar "f" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 12 - , locColumn = 58 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "e" ) - , TermVar - ( NamedVar "f" ) - ] - ) - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 15 - , locColumn = 1 - } - ) - ( Marker "cong_id" ) - ( Axiom - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 16 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - ) - ] - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "c" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 17 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 21 - , locColumn = 1 - } - ) - ( Marker "segment_construction" ) - ( Axiom [] - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 20 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "a" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "b" ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 22 - , locColumn = 62 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "b" ) - ) - ) - , TermVar - ( B - ( NamedVar "c" ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "d" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "e" ) - ) - ) - ] - ) - ) - ) - ) - ) - ) -, BlockDefn - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 26 - , locColumn = 1 - } - ) - ( Marker "ofs" ) - ( DefnPredicate - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "x" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "y" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "z" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "r" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "u" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "v" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "w" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 27 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "p" ) - ] - ) - ] - ( PredicateSymbol "OFS" ) - ( NamedVar "x" :| - [ NamedVar "y" - , NamedVar "z" - , NamedVar "r" - , NamedVar "u" - , NamedVar "v" - , NamedVar "w" - , NamedVar "p" - ] - ) - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 29 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "x" ) - , TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "z" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 30 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "v" ) - , TermVar - ( NamedVar "w" ) - ] - ) - ) - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 32 - , locColumn = 6 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "x" ) - , TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "v" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 33 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "z" ) - , TermVar - ( NamedVar "v" ) - , TermVar - ( NamedVar "w" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 34 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "x" ) - , TermVar - ( NamedVar "r" ) - , TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "p" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 35 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "r" ) - , TermVar - ( NamedVar "v" ) - , TermVar - ( NamedVar "p" ) - ] - ) - ) - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 39 - , locColumn = 1 - } - ) - ( Marker "five_segment" ) - ( Axiom - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a_" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b_" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c_" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 40 - , locColumn = 34 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d_" ) - ] - ) - ] - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 41 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "OFS" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "a_" ) - , TermVar - ( NamedVar "b_" ) - , TermVar - ( NamedVar "c_" ) - , TermVar - ( NamedVar "d_" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 8 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 42 - , locColumn = 22 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "c_" ) - , TermVar - ( NamedVar "d_" ) - ] - ) - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 46 - , locColumn = 1 - } - ) - ( Marker "betw_id" ) - ( Axiom - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 47 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - ] - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 48 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 52 - , locColumn = 1 - } - ) - ( Marker "innerpasch" ) - ( Axiom - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "x" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "y" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "z" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "u" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "v" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 53 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "w" ) - ] - ) - ] - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "x" ) - , TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "z" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "v" ) - , TermVar - ( NamedVar "z" ) - ] - ) - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 54 - , locColumn = 66 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "w" ) - ) - ] - ) - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "u" ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "y" ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 55 - , locColumn = 37 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Betw" ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "v" ) - ) - ) - , TermVar - ( B - ( NamedVar "w" ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "x" ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) -, BlockAxiom - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 66 - , locColumn = 1 - } - ) - ( Marker "upperdim" ) - ( Axiom - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "x" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "y" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "z" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "u" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 67 - , locColumn = 24 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "v" ) - ] - ) - ] - ( Connected Implication - ( Connected Conjunction - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "x" ) - , TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "x" ) - , TermVar - ( NamedVar "v" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 68 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "v" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 10 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "z" ) - , TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "z" ) - , TermVar - ( NamedVar "v" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 69 - , locColumn = 36 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "neq" ) - ( ParameterArity 0 ) - ( Marker "neq" ) - ) - ) - ) - [ TermVar - ( NamedVar "u" ) - , TermVar - ( NamedVar "v" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 70 - , locColumn = 17 - } - ) - ( SymbolPredicate - ( PredicateAdj - ( LexicalItem - ( TokenCons - ( Word "collinear" ) - ( TokenCons - ( Word "with" ) - ( HoleCons - ( TokenCons - ( Word "and" ) ( HoleCons End ) - ) - ) - ) - ) - ( Marker "collinear" ) - ) - ) - ) - [ TermVar - ( NamedVar "x" ) - , TermVar - ( NamedVar "y" ) - , TermVar - ( NamedVar "z" ) - ] - ) - ) - ) -, BlockLemma - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 82 - , locColumn = 1 - } - ) - ( Marker "cong_refl" ) - ( Lemma - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 83 - , locColumn = 19 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - ] - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 84 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ) -, BlockLemma - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 88 - , locColumn = 1 - } - ) - ( Marker "cong_sym" ) - ( Lemma - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 89 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 90 - , locColumn = 14 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ] - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 91 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ) -, BlockLemma - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 95 - , locColumn = 1 - } - ) - ( Marker "cong_transitive" ) - ( Lemma - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "e" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 96 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "f" ) - ] - ) - ] - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 97 - , locColumn = 33 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "e" ) - , TermVar - ( NamedVar "f" ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 98 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "e" ) - , TermVar - ( NamedVar "f" ) - ] - ) - ) - ) -, BlockLemma - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 102 - , locColumn = 1 - } - ) - ( Marker "cong_shuffle_left" ) - ( Lemma - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 103 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - ) - ] - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 104 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 105 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ) - ) -, BlockLemma - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 109 - , locColumn = 1 - } - ) - ( Marker "cong_shuffle_right" ) - ( Lemma - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "c" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 110 - , locColumn = 25 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "d" ) - ] - ) - ] - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 111 - , locColumn = 9 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "c" ) - , TermVar - ( NamedVar "d" ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 112 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "d" ) - , TermVar - ( NamedVar "c" ) - ] - ) - ) - ) -, BlockLemma - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 116 - , locColumn = 1 - } - ) - ( Marker "cong_zero" ) - ( Lemma - [ Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 117 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "a" ) - ] - ) - , Asm - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 117 - , locColumn = 18 - } - ) - ( SymbolPredicate - ( PredicateNoun - ( LexicalItemSgPl - ( SgPl - { sg = TokenCons - ( Word "point" ) End - , pl = TokenCons - ( Word "points" ) End - } - ) - ( Marker "point" ) - ) - ) - ) - [ TermVar - ( NamedVar "b" ) - ] - ) - ] - ( TermSymbol - ( Location - { locFile = "test/examples/geometry.tex" - , locLine = 118 - , locColumn = 11 - } - ) - ( SymbolPredicate - ( PredicateSymbol "Cong" ) - ) - [ TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "a" ) - , TermVar - ( NamedVar "b" ) - , TermVar - ( NamedVar "b" ) - ] - ) - ) -]
\ No newline at end of file diff --git a/test/golden/geometry/verification.golden b/test/golden/geometry/verification.golden deleted file mode 100644 index a64b733..0000000 --- a/test/golden/geometry/verification.golden +++ /dev/null @@ -1,11 +0,0 @@ -VerifiedWithTrustedVampire - ( VerificationReport - { verificationRoute = LegacyVerificationRoute - , verificationLegacyDeclaredAssumptionCount = 8 - , verificationTypedDeclaredAssumptionCount = 0 - , verificationTrustedVampireCount = 6 - , verificationExplicitGapLocations = [] - , verificationTrustedLegacyRuleCount = 2 - , verificationKernelProofCount = 0 - } - )
\ No newline at end of file |