From 442d732696ad431b84f6e5c72b6ee785be4fd968 Mon Sep 17 00:00:00 2001 From: adelon <22380201+adelon@users.noreply.github.com> Date: Sat, 10 Feb 2024 02:22:14 +0100 Subject: Initial commit --- test/golden/replace/encoding tasks.golden | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 test/golden/replace/encoding tasks.golden (limited to 'test/golden/replace/encoding tasks.golden') 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)))). \ No newline at end of file -- cgit v1.2.3