diff options
Diffstat (limited to 'test/golden/replace/encoding tasks.golden')
| -rw-r--r-- | test/golden/replace/encoding tasks.golden | 17 |
1 files changed, 17 insertions, 0 deletions
diff --git a/test/golden/replace/encoding tasks.golden b/test/golden/replace/encoding tasks.golden new file mode 100644 index 0000000..a939ff9 --- /dev/null +++ b/test/golden/replace/encoding tasks.golden @@ -0,0 +1,17 @@ +fof(pair_emptyset_in_times_unit,conjecture,elem(pair(emptyset,emptyset),times(unit,unit))). +fof(unit,axiom,![Xany]:(elem(Xany,unit)<=>(elem(Xany,emptyset)|Xany=emptyset))). +fof(times,axiom,![XA,XB]:![Xfrv]:(elem(Xfrv,times(XA,XB))<=>?[Xa,Xb]:(elem(Xa,XA)&elem(Xb,XB)&pair(Xa,Xb)=Xfrv))). +fof(cons,axiom,![Xx,Xy,XX]:(elem(Xx,cons(Xy,XX))<=>(Xx=Xy|elem(Xx,XX)))). +------------------ +fof(suc,conjecture,![X0]:(elem(X0,fa)=>![X1,X2]:((X1=cons(X0,emptyset)&X2=cons(X0,emptyset))=>X1=X2))). +fof(pair_emptyset_in_times_unit,axiom,elem(pair(emptyset,emptyset),times(unit,unit))). +fof(unit,axiom,![Xany]:(elem(Xany,unit)<=>(elem(Xany,emptyset)|Xany=emptyset))). +fof(times,axiom,![XA,XB]:![Xfrv]:(elem(Xfrv,times(XA,XB))<=>?[Xa,Xb]:(elem(Xa,XA)&elem(Xb,XB)&pair(Xa,Xb)=Xfrv))). +fof(cons,axiom,![Xx,Xy,XX]:(elem(Xx,cons(Xy,XX))<=>(Xx=Xy|elem(Xx,XX)))). +------------------ +fof(times_replacement_test,conjecture,![Xfrv]:(elem(Xfrv,times(fA,fB))<=>?[Xa,Xb]:(elem(Xa,fA)&elem(Xb,fB)&pair(Xa,Xb)=Xfrv))). +fof(suc,axiom,![X1,Xa]:(elem(X1,suc(Xa))<=>?[X0]:(elem(X0,Xa)&X1=cons(X0,emptyset)))). +fof(pair_emptyset_in_times_unit,axiom,elem(pair(emptyset,emptyset),times(unit,unit))). +fof(unit,axiom,![Xany]:(elem(Xany,unit)<=>(elem(Xany,emptyset)|Xany=emptyset))). +fof(times,axiom,![XA,XB]:![Xfrv]:(elem(Xfrv,times(XA,XB))<=>?[Xa,Xb]:(elem(Xa,XA)&elem(Xb,XB)&pair(Xa,Xb)=Xfrv))). +fof(cons,axiom,![Xx,Xy,XX]:(elem(Xx,cons(Xy,XX))<=>(Xx=Xy|elem(Xx,XX)))).
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