diff options
Diffstat (limited to 'test/golden/geometry/encoding tasks.golden')
| -rw-r--r-- | test/golden/geometry/encoding tasks.golden | 109 |
1 files changed, 0 insertions, 109 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)).
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