%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM132+2 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:39:38 AM UTC 2026
% Result : Theorem 4.61s 1.36s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 70 ( 13 unt; 0 def)
% Number of atoms : 258 ( 105 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 311 ( 123 ~; 136 |; 36 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 269 ( 255 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X0 = X3
& X1 = vvar(X2) )
=> ( ( X2 = X3
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f12,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 = X3
& X1 = vapp(X2,X4) )
=> ( ( ( visFreeVar(X3,X2)
| visFreeVar(X3,X4) )
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X2)
| visFreeVar(X3,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f33,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( X0 = X4
& X1 = X5
& X2 = vabs(X7,X6,X9) )
=> ( ( X4 != X7
& visFreeVar(X7,X5)
& X8 = vgensym(vapp(vapp(X5,X9),vvar(X4))) )
=> ( X3 = vsubst(X0,X1,X2)
=> X3 = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subst4) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ~ visFreeVar(X2,X3)
=> valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-subst-abs') ).
fof(f48,axiom,
! [X0,X1,X2,X3] :
( ( vtcheck(X1,X0,X3)
& valphaEquivalent(X0,X2) )
=> vtcheck(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-typing') ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( X2 != X4
& ~ visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-2-gen') ).
fof(f52,axiom,
! [X0,X1,X2,X3] :
( X2 = vgensym(vapp(vapp(X0,X3),vvar(X1)))
=> ~ visFreeVar(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-free-2') ).
fof(f53,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 != X4
& visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-3') ).
fof(f54,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 != X4
& visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f59,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
& X2 != X4
& visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) ),
inference(ennf_transformation,[],[f54]) ).
fof(f60,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
& X2 != X4
& visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
| X2 = X4
| visFreeVar(X4,X3)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) ),
inference(ennf_transformation,[],[f50]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
| X2 = X4
| visFreeVar(X4,X3)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(ennf_transformation,[],[f47]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( X3 = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9)))
| vsubst(X0,X1,X2) != X3
| X4 = X7
| ~ visFreeVar(X7,X5)
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| X0 != X4
| X1 != X5
| vabs(X7,X6,X9) != X2 ),
inference(ennf_transformation,[],[f33]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( X3 = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9)))
| vsubst(X0,X1,X2) != X3
| X4 = X7
| ~ visFreeVar(X7,X5)
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| X0 != X4
| X1 != X5
| vabs(X7,X6,X9) != X2 ),
inference(flattening,[],[f71]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ~ visFreeVar(X2,X3)
| vgensym(vapp(vapp(X0,X3),vvar(X1))) != X2 ),
inference(ennf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X2)
& ~ visFreeVar(X3,X4) ) )
& ( visFreeVar(X3,X2)
| visFreeVar(X3,X4)
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(ennf_transformation,[],[f12]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X2)
& ~ visFreeVar(X3,X4) ) )
& ( visFreeVar(X3,X2)
| visFreeVar(X3,X4)
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ vtcheck(X1,X0,X3)
| ~ valphaEquivalent(X0,X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ vtcheck(X1,X0,X3)
| ~ valphaEquivalent(X0,X2) ),
inference(flattening,[],[f91]) ).
fof(f127,plain,
( ~ vtcheck(sK9,vsubst(sK10,sK11,vabs(sK12,sK13,veabs)),sK14)
& sK10 != sK12
& visFreeVar(sK12,sK11)
& vtcheck(sK9,sK11,sK8)
& vtcheck(vbind(sK10,sK8,sK9),vabs(sK12,sK13,veabs),sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12),skolemize(X5,sK13),skolemize(X6,sK14)],[f60]) ).
fof(f155,plain,
vtcheck(vbind(sK10,sK8,sK9),vabs(sK12,sK13,veabs),sK14),
inference(cnf_transformation,[],[f127]) ).
fof(f156,plain,
vtcheck(sK9,sK11,sK8),
inference(cnf_transformation,[],[f127]) ).
fof(f158,plain,
sK10 != sK12,
inference(cnf_transformation,[],[f127]) ).
fof(f159,plain,
~ vtcheck(sK9,vsubst(sK10,sK11,vabs(sK12,sK13,veabs)),sK14),
inference(cnf_transformation,[],[f127]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| X2 = X4
| visFreeVar(X4,X3)
| ~ vtcheck(X1,X3,X0)
| vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(cnf_transformation,[],[f62]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3
| vsubst(X0,X1,X2) != X3
| X4 = X7
| ~ visFreeVar(X7,X5)
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| X0 != X4
| X1 != X5
| vabs(X7,X6,X9) != X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ visFreeVar(X2,X3)
| vgensym(vapp(vapp(X0,X3),vvar(X1))) != X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f220,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f86]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3)
| vtcheck(X1,X2,X3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f261,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5] :
( vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9)))
| X4 = X7
| ~ visFreeVar(X7,X5)
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| X0 != X4
| X1 != X5
| vabs(X7,X6,X9) != X2 ),
inference(equality_resolution,[],[f205]) ).
fof(f262,plain,
! [X2,X0,X1,X6,X9,X7,X4,X5] :
( vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9)))
| X4 = X7
| ~ visFreeVar(X7,X5)
| X0 != X4
| X1 != X5
| vabs(X7,X6,X9) != X2 ),
inference(equality_resolution,[],[f261]) ).
fof(f263,plain,
! [X2,X1,X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X4,X1,X2)
| X4 = X7
| ~ visFreeVar(X7,X5)
| X1 != X5
| vabs(X7,X6,X9) != X2 ),
inference(equality_resolution,[],[f262]) ).
fof(f264,plain,
! [X2,X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X4,X5,X2)
| X4 = X7
| ~ visFreeVar(X7,X5)
| vabs(X7,X6,X9) != X2 ),
inference(equality_resolution,[],[f263]) ).
fof(f265,plain,
! [X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X4,X5,vabs(X7,X6,X9))
| X4 = X7
| ~ visFreeVar(X7,X5) ),
inference(equality_resolution,[],[f264]) ).
fof(f281,plain,
! [X3,X0,X1] : ~ visFreeVar(vgensym(vapp(vapp(X0,X3),vvar(X1))),X3),
inference(equality_resolution,[],[f216]) ).
fof(f282,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f220]) ).
fof(f283,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f223]) ).
fof(f284,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f283]) ).
fof(f285,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f222]) ).
fof(f286,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f285]) ).
fof(f289,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| X0 != X3
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f225]) ).
fof(f290,plain,
! [X3,X1] :
( visFreeVar(X3,X1)
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f289]) ).
fof(f291,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f290]) ).
fof(f323,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X0),
inference(resolution,[],[f284,f282]) ).
fof(f324,plain,
! [X2,X0,X1] : ~ visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X0),
inference(resolution,[],[f323,f284]) ).
fof(f325,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X1),
inference(resolution,[],[f286,f282]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,X1),X5)
| visFreeVar(X0,X1)
| vtcheck(X2,vabs(X0,X4,vsubst(X3,vvar(X0),X1)),X5) ),
inference(resolution,[],[f161,f226]) ).
fof(f583,plain,
! [X0] :
( sK10 = sK12
| visFreeVar(sK12,X0)
| ~ vtcheck(sK9,X0,sK8)
| vtcheck(sK9,vsubst(sK10,X0,vabs(sK12,sK13,veabs)),sK14) ),
inference(resolution,[],[f160,f155]) ).
fof(f588,plain,
! [X0] :
( vtcheck(sK9,vsubst(sK10,X0,vabs(sK12,sK13,veabs)),sK14)
| ~ vtcheck(sK9,X0,sK8)
| visFreeVar(sK12,X0) ),
inference(forward_subsumption_resolution,[],[f583,f158]) ).
fof(f1085,plain,
! [X0] :
( vtcheck(vbind(sK10,sK8,sK9),vabs(X0,sK13,vsubst(sK12,vvar(X0),veabs)),sK14)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f410,f155]) ).
fof(f1090,plain,
! [X0,X1] :
( vtcheck(sK9,vsubst(sK10,X1,vabs(X0,sK13,vsubst(sK12,vvar(X0),veabs))),sK14)
| sK10 = X0
| visFreeVar(X0,X1)
| ~ vtcheck(sK9,X1,sK8)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f1085,f160]) ).
fof(f1096,plain,
! [X0] :
( vtcheck(sK9,vsubst(sK10,X0,vabs(sK12,sK13,veabs)),sK14)
| sK10 = vgensym(vapp(vapp(X0,veabs),vvar(sK10)))
| visFreeVar(vgensym(vapp(vapp(X0,veabs),vvar(sK10))),X0)
| ~ vtcheck(sK9,X0,sK8)
| visFreeVar(vgensym(vapp(vapp(X0,veabs),vvar(sK10))),veabs)
| sK10 = sK12
| ~ visFreeVar(sK12,X0) ),
inference(superposition,[],[f1090,f265]) ).
fof(f1098,plain,
! [X0] :
( vtcheck(sK9,vsubst(sK10,X0,vabs(sK12,sK13,veabs)),sK14)
| sK10 = vgensym(vapp(vapp(X0,veabs),vvar(sK10)))
| visFreeVar(vgensym(vapp(vapp(X0,veabs),vvar(sK10))),X0)
| ~ vtcheck(sK9,X0,sK8)
| visFreeVar(vgensym(vapp(vapp(X0,veabs),vvar(sK10))),veabs)
| sK10 = sK12 ),
inference(forward_subsumption_resolution,[],[f1096,f588]) ).
fof(f1099,plain,
! [X0] :
( vtcheck(sK9,vsubst(sK10,X0,vabs(sK12,sK13,veabs)),sK14)
| sK10 = vgensym(vapp(vapp(X0,veabs),vvar(sK10)))
| visFreeVar(vgensym(vapp(vapp(X0,veabs),vvar(sK10))),X0)
| ~ vtcheck(sK9,X0,sK8)
| visFreeVar(vgensym(vapp(vapp(X0,veabs),vvar(sK10))),veabs) ),
inference(forward_subsumption_resolution,[],[f1098,f158]) ).
fof(f1100,plain,
! [X0] :
( vtcheck(sK9,vsubst(sK10,X0,vabs(sK12,sK13,veabs)),sK14)
| sK10 = vgensym(vapp(vapp(X0,veabs),vvar(sK10)))
| ~ vtcheck(sK9,X0,sK8)
| visFreeVar(vgensym(vapp(vapp(X0,veabs),vvar(sK10))),veabs) ),
inference(forward_subsumption_resolution,[],[f1099,f324]) ).
fof(f1101,plain,
! [X0] :
( vtcheck(sK9,vsubst(sK10,X0,vabs(sK12,sK13,veabs)),sK14)
| sK10 = vgensym(vapp(vapp(X0,veabs),vvar(sK10)))
| ~ vtcheck(sK9,X0,sK8) ),
inference(forward_subsumption_resolution,[],[f1100,f281]) ).
fof(f1142,plain,
( sK10 = vgensym(vapp(vapp(sK11,veabs),vvar(sK10)))
| ~ vtcheck(sK9,sK11,sK8) ),
inference(resolution,[],[f1101,f159]) ).
fof(f1144,plain,
sK10 = vgensym(vapp(vapp(sK11,veabs),vvar(sK10))),
inference(forward_subsumption_resolution,[],[f1142,f156]) ).
fof(f1155,plain,
~ visFreeVar(sK10,vvar(sK10)),
inference(superposition,[],[f325,f1144]) ).
fof(f1158,plain,
$false,
inference(forward_subsumption_resolution,[],[f1155,f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM132+2 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:56:09 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.61/1.36 % (2695568)Detected formulas, will run a generic FOF schedule.
% 4.61/1.36 % (2695579)dis-21_1_sil=8000:lcm=predicate:random_seed=1673251399:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.61/1.36 % (2695579)Instruction limit reached!
% 4.61/1.36 % (2695579)------------------------------
% 4.61/1.36 % (2695579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695579)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695579)Termination reason: Instruction limit
% 4.61/1.36 % (2695579)Termination phase: Saturation
% 4.61/1.36 % (2695579)Time elapsed: 0.042 s
% 4.61/1.36 % (2695579)Peak memory usage: 89 MB
% 4.61/1.36 % (2695579)Instructions burned: 132 (million)
% 4.61/1.36 % (2695577)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=927274234:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.61/1.36 % (2695578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1464009741:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.61/1.36 % (2695573)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4248599172:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.61/1.36 % (2695576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=613276829:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.61/1.36 % (2695574)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1582231784:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.61/1.36 % (2695575)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1297303643:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.61/1.36 % (2695576)Refutation not found, incomplete strategy
% 4.61/1.36 % (2695576)------------------------------
% 4.61/1.36 % (2695576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695576)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695576)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.36 % (2695576)Time elapsed: 0.003 s
% 4.61/1.36 % (2695576)Peak memory usage: 88 MB
% 4.61/1.36 % (2695576)Instructions burned: 3 (million)
% 4.61/1.36 % (2695577)Instruction limit reached!
% 4.61/1.36 % (2695577)------------------------------
% 4.61/1.36 % (2695577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695577)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695577)Termination reason: Instruction limit
% 4.61/1.36 % (2695577)Termination phase: Saturation
% 4.61/1.36 % (2695577)Time elapsed: 0.072 s
% 4.61/1.36 % (2695577)Peak memory usage: 88 MB
% 4.61/1.36 % (2695577)Instructions burned: 119 (million)
% 4.61/1.36 % (2695587)lrs+10_1_sil=8000:sp=occurrence:random_seed=1156743138:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.61/1.36 % (2695578)Instruction limit reached!
% 4.61/1.36 % (2695578)------------------------------
% 4.61/1.36 % (2695578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695578)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695578)Termination reason: Instruction limit
% 4.61/1.36 % (2695578)Termination phase: Saturation
% 4.61/1.36 % (2695578)Time elapsed: 0.094 s
% 4.61/1.36 % (2695578)Peak memory usage: 90 MB
% 4.61/1.36 % (2695578)Instructions burned: 140 (million)
% 4.61/1.36 % (2695587)Instruction limit reached!
% 4.61/1.36 % (2695587)------------------------------
% 4.61/1.36 % (2695587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695587)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695587)Termination reason: Instruction limit
% 4.61/1.36 % (2695587)Termination phase: Saturation
% 4.61/1.36 % (2695587)Time elapsed: 0.093 s
% 4.61/1.36 % (2695587)Peak memory usage: 91 MB
% 4.61/1.36 % (2695587)Instructions burned: 287 (million)
% 4.61/1.36 % (2695588)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1216654321:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.61/1.36 % (2695590)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3660855668:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.61/1.36 % (2695576)------------------------------
% 4.61/1.36 % (2695576)------------------------------
% 4.61/1.36 % (2695591)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=991454919:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.61/1.36 % (2695588)Instruction limit reached!
% 4.61/1.36 % (2695588)------------------------------
% 4.61/1.36 % (2695588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695588)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695588)Termination reason: Instruction limit
% 4.61/1.36 % (2695588)Termination phase: Saturation
% 4.61/1.36 % (2695588)Time elapsed: 0.097 s
% 4.61/1.36 % (2695588)Peak memory usage: 91 MB
% 4.61/1.36 % (2695588)Instructions burned: 158 (million)
% 4.61/1.36 % (2695590)First to succeed.
% 4.61/1.36 % (2695590)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2695568"
% 4.61/1.36 % (2695591)Instruction limit reached!
% 4.61/1.36 % (2695591)------------------------------
% 4.61/1.36 % (2695591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695591)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695591)Termination reason: Instruction limit
% 4.61/1.36 % (2695591)Termination phase: Saturation
% 4.61/1.36 % (2695591)Time elapsed: 0.079 s
% 4.61/1.36 % (2695591)Peak memory usage: 91 MB
% 4.61/1.36 % (2695591)Instructions burned: 250 (million)
% 4.61/1.36 % (2695594)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1329639505:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.61/1.36 % (2695597)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2511072055:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.61/1.36 % (2695596)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4170017531:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.61/1.36 % (2695597)Instruction limit reached!
% 4.61/1.36 % (2695597)------------------------------
% 4.61/1.36 % (2695597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695597)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695597)Termination reason: Instruction limit
% 4.61/1.36 % (2695597)Termination phase: Saturation
% 4.61/1.36 % (2695597)Time elapsed: 0.040 s
% 4.61/1.36 % (2695597)Peak memory usage: 89 MB
% 4.61/1.36 % (2695597)Instructions burned: 114 (million)
% 4.61/1.36 % (2695594)Instruction limit reached!
% 4.61/1.36 % (2695594)------------------------------
% 4.61/1.36 % (2695594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.36 % (2695594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.36 % (2695594)CaDiCaL version: 2.1.3
% 4.61/1.36 % (2695594)Termination reason: Instruction limit
% 4.61/1.36 % (2695594)Termination phase: Saturation
% 4.61/1.36 % (2695594)Time elapsed: 0.153 s
% 4.61/1.36 % (2695594)Peak memory usage: 88 MB
% 4.61/1.36 % (2695594)Instructions burned: 296 (million)
% 4.61/1.36 % (2695590)Refutation found. Thanks to Tanya!
% 4.61/1.36 % SZS status Theorem for theBenchmark
% 4.61/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 5.66/1.56 % (2695590)------------------------------
% 5.66/1.56 % (2695590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.56 % (2695590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.56 % (2695590)CaDiCaL version: 2.1.3
% 5.66/1.56 % (2695590)Termination reason: Refutation
% 5.66/1.56 % (2695590)Time elapsed: 0.073 s
% 5.66/1.56 % (2695590)Peak memory usage: 90 MB
% 5.66/1.56 % (2695590)Instructions burned: 110 (million)
% 5.66/1.56 % (2695590)------------------------------
% 5.66/1.56 % (2695590)------------------------------
% 5.66/1.56 % (2695568)Success in time 0.715 s
% 5.66/1.56 % Vampire exiting
%------------------------------------------------------------------------------