%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM136+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:40:22 AM UTC 2026
% Result : Theorem 0.09s 0.20s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 120 ( 15 unt; 6 def)
% Number of atoms : 389 ( 134 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 387 ( 118 ~; 187 |; 64 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 295 ( 0 sgn 237 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( vabs(X0,X1,X2) = vabs(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) )
& ( ( X0 = X3
& X1 = X4
& X2 = X5 )
=> vabs(X0,X1,X2) = vabs(X3,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X1 = X4
& X2 = vabs(X3,X0,X5) )
=> ( ( ( X3 != X4
& visFreeVar(X4,X5) )
=> visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
=> ( X3 != X4
& visFreeVar(X4,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 = X0
& vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6) )
=> vtcheck(vbind(X2,X3,X4),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(f27,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 != X0
& vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6) )
=> vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof(f52,axiom,
! [X0,X1,X2,X3,X4] :
( vtcheck(vbind(X1,X3,X0),X2,X4)
=> vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof(f54,axiom,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X3,X4,X5,X6] :
( X0 = vabs(X3,X5,X4)
& X1 = varrow(X5,X6)
& vtcheck(vbind(X3,X5,X2),X4,X6) )
| ? [X7,X4,X8] :
( X0 = vapp(X7,X4)
& vtcheck(X2,X7,varrow(X8,X1))
& vtcheck(X2,X4,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( ~ visFreeVar(X0,veabs)
& vtcheck(vbind(X0,X1,X2),veabs,X3) )
=> vtcheck(X2,veabs,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-abs-IH') ).
fof(f57,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) )
=> vtcheck(X2,vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-abs') ).
fof(f58,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) )
=> vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f65,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) ) ) ),
inference(rectify,[],[f54]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( X0 = X3
& X1 = X4
& X2 = X5 )
| vabs(X0,X1,X2) != vabs(X3,X4,X5) )
& ( vabs(X0,X1,X2) = vabs(X3,X4,X5)
| X0 != X3
| X1 != X4
| X2 != X5 ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( X0 = X3
& X1 = X4
& X2 = X5 )
| vabs(X0,X1,X2) != vabs(X3,X4,X5) )
& ( vabs(X0,X1,X2) = vabs(X3,X4,X5)
| X0 != X3
| X1 != X4
| X2 != X5 ) ),
inference(flattening,[],[f67]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(ennf_transformation,[],[f11]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(flattening,[],[f76]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X2,X3,X4),X5,X6)
| X0 != X2
| ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6) ),
inference(ennf_transformation,[],[f26]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X2,X3,X4),X5,X6)
| X0 != X2
| ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6)
| X0 = X2
| ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6) ),
inference(ennf_transformation,[],[f27]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6)
| X0 = X2
| ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6) ),
inference(flattening,[],[f97]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4))
| ~ vtcheck(vbind(X1,X3,X0),X2,X4) ),
inference(ennf_transformation,[],[f52]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f141]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( vtcheck(X2,veabs,X3)
| visFreeVar(X0,veabs)
| ~ vtcheck(vbind(X0,X1,X2),veabs,X3) ),
inference(ennf_transformation,[],[f56]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( vtcheck(X2,veabs,X3)
| visFreeVar(X0,veabs)
| ~ vtcheck(vbind(X0,X1,X2),veabs,X3) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f58]) ).
fof(f148,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f147]) ).
fof(f164,definition,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f142,f164]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
inference(nnf_transformation,[],[f164]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vapp(X3,X4) = X0
& vtcheck(X2,X3,varrow(X5,X1))
& vtcheck(X2,X4,X5) )
| ~ sP12(X0,X1,X2) ),
inference(rectify,[],[f207]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ( vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0
& vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
& vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2)) )
| ~ sP12(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80,sK81]),skolemize(X3,sK79(X0,X1,X2)),skolemize(X4,sK80(X0,X1,X2)),skolemize(X5,sK81(X0,X1,X2))],[f208]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ( vvar(sK82(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) )
| ( vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
& varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
& vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2)) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83,sK84,sK85,sK86]),skolemize(X3,sK82(X0,X1,X2)),skolemize(X4,sK83(X0,X1,X2)),skolemize(X5,sK84(X0,X1,X2)),skolemize(X6,sK85(X0,X1,X2)),skolemize(X7,sK86(X0,X1,X2))],[f165]) ).
fof(f211,plain,
( ~ vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
& ~ visFreeVar(sK87,vabs(sK90,sK91,veabs))
& vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92)],[f148]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f68]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f68]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f68]) ).
fof(f221,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ visFreeVar(X4,X5)
| X3 = X4
| visFreeVar(X1,X2)
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
| X0 != X2
| vtcheck(vbind(X2,X3,X4),X5,X6) ),
inference(cnf_transformation,[],[f96]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
| X0 = X2
| vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6) ),
inference(cnf_transformation,[],[f98]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X1,X3,X0),X2,X4)
| vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f209]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2))
| sP12(X0,X1,X2)
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f210]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
| sP12(X0,X1,X2)
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f210]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X0,X1,X2)
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f210]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(vbind(X0,X1,X2),veabs,X3)
| visFreeVar(X0,veabs)
| vtcheck(X2,veabs,X3) ),
inference(cnf_transformation,[],[f146]) ).
fof(f362,plain,
vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f211]) ).
fof(f363,plain,
~ visFreeVar(sK87,vabs(sK90,sK91,veabs)),
inference(cnf_transformation,[],[f211]) ).
fof(f364,plain,
~ vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f211]) ).
fof(f662,plain,
( sK92 = varrow(sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| sP12(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| vabs(sK90,sK91,veabs) = vvar(sK82(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))) ),
inference(resolution,[],[f358,f362]) ).
fof(f665,plain,
( sK92 = varrow(sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| sP12(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)) ),
inference(forward_subsumption_resolution,[],[f662,f221]) ).
fof(f676,definition,
( spl93_8
<=> sP12(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)) ),
introduced(definition,[new_symbols(definition,[spl93_8])],[avatar_definition]) ).
fof(f677,plain,
( ~ sP12(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
( sP12(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| ~ spl93_8 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f680,definition,
( spl93_9
<=> sK92 = varrow(sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))) ),
introduced(definition,[new_symbols(definition,[spl93_9])],[avatar_definition]) ).
fof(f682,plain,
( sK92 = varrow(sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| ~ spl93_9 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f683,plain,
( spl93_8
| spl93_9 ),
inference(avatar_split_clause,[],[f665,f680,f676]) ).
fof(f685,plain,
( vabs(sK90,sK91,veabs) = vapp(sK79(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK80(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| ~ spl93_8 ),
inference(resolution,[],[f678,f353]) ).
fof(f687,plain,
( $false
| ~ spl93_8 ),
inference(forward_subsumption_resolution,[],[f685,f223]) ).
fof(f688,plain,
~ spl93_8,
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f736,plain,
( vabs(sK90,sK91,veabs) = vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| sP12(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| vabs(sK90,sK91,veabs) = vvar(sK82(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))) ),
inference(resolution,[],[f359,f362]) ).
fof(f739,plain,
( vabs(sK90,sK91,veabs) = vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| vabs(sK90,sK91,veabs) = vvar(sK82(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8 ),
inference(forward_subsumption_resolution,[],[f736,f677]) ).
fof(f741,plain,
( vabs(sK90,sK91,veabs) = vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8 ),
inference(forward_subsumption_resolution,[],[f739,f221]) ).
fof(f761,plain,
( vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| sP12(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| vabs(sK90,sK91,veabs) = vvar(sK82(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))) ),
inference(resolution,[],[f357,f362]) ).
fof(f764,plain,
( vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| vabs(sK90,sK91,veabs) = vvar(sK82(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8 ),
inference(forward_subsumption_resolution,[],[f761,f677]) ).
fof(f766,plain,
( vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8 ),
inference(forward_subsumption_resolution,[],[f764,f221]) ).
fof(f893,plain,
( ! [X2,X0,X1] :
( vabs(X0,X1,X2) != vabs(sK90,sK91,veabs)
| sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)) = X2 )
| spl93_8 ),
inference(superposition,[],[f215,f741]) ).
fof(f895,plain,
( ! [X2,X0,X1] :
( vabs(X0,X1,X2) != vabs(sK90,sK91,veabs)
| sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)) = X1 )
| spl93_8 ),
inference(superposition,[],[f216,f741]) ).
fof(f897,plain,
( ! [X2,X0,X1] :
( vabs(X0,X1,X2) != vabs(sK90,sK91,veabs)
| sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)) = X0 )
| spl93_8 ),
inference(superposition,[],[f217,f741]) ).
fof(f909,plain,
( veabs = sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8 ),
inference(equality_resolution,[],[f893]) ).
fof(f910,plain,
( sK87 = sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| vtcheck(vbind(sK87,sK88,vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89)),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8 ),
inference(resolution,[],[f766,f263]) ).
fof(f911,plain,
( sK87 != sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89),sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8 ),
inference(resolution,[],[f766,f262]) ).
fof(f928,plain,
( vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| sK87 != sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8 ),
inference(forward_demodulation,[],[f911,f909]) ).
fof(f929,plain,
( vtcheck(vbind(sK87,sK88,vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89)),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| sK87 = sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8 ),
inference(forward_demodulation,[],[f910,f909]) ).
fof(f938,definition,
( spl93_24
<=> sK87 = sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)) ),
introduced(definition,[new_symbols(definition,[spl93_24])],[avatar_definition]) ).
fof(f940,plain,
( sK87 != sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_24 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f942,definition,
( spl93_25
<=> vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))) ),
introduced(definition,[new_symbols(definition,[spl93_25])],[avatar_definition]) ).
fof(f943,plain,
( ~ vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_25 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f944,plain,
( vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| ~ spl93_25 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f945,plain,
( ~ spl93_24
| spl93_25
| spl93_8 ),
inference(avatar_split_clause,[],[f928,f676,f942,f938]) ).
fof(f947,definition,
( spl93_26
<=> vtcheck(vbind(sK87,sK88,vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89)),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))) ),
introduced(definition,[new_symbols(definition,[spl93_26])],[avatar_definition]) ).
fof(f949,plain,
( vtcheck(vbind(sK87,sK88,vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89)),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| ~ spl93_26 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f950,plain,
( spl93_24
| spl93_26
| spl93_8 ),
inference(avatar_split_clause,[],[f929,f676,f947,f938]) ).
fof(f1000,plain,
( vabs(sK90,sK91,veabs) = vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),veabs)
| spl93_8 ),
inference(superposition,[],[f741,f909]) ).
fof(f1185,plain,
( sK91 = sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8 ),
inference(equality_resolution,[],[f895]) ).
fof(f1207,plain,
( vabs(sK90,sK91,veabs) = vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK91,sK84(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8 ),
inference(superposition,[],[f741,f1185]) ).
fof(f1209,plain,
( vabs(sK90,sK91,veabs) = vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK91,veabs)
| spl93_8 ),
inference(forward_demodulation,[],[f1207,f909]) ).
fof(f1265,plain,
( sK90 = sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8 ),
inference(equality_resolution,[],[f897]) ).
fof(f1267,plain,
( vtcheck(sK89,vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),veabs),varrow(sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))))
| ~ spl93_25 ),
inference(resolution,[],[f944,f349]) ).
fof(f1284,plain,
( vtcheck(sK89,vabs(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),veabs),sK92)
| ~ spl93_9
| ~ spl93_25 ),
inference(forward_demodulation,[],[f1267,f682]) ).
fof(f1293,plain,
( vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
| spl93_8
| ~ spl93_9
| ~ spl93_25 ),
inference(forward_demodulation,[],[f1284,f1000]) ).
fof(f1310,plain,
( $false
| spl93_8
| ~ spl93_9
| ~ spl93_25 ),
inference(forward_subsumption_resolution,[],[f1293,f364]) ).
fof(f1311,plain,
( spl93_8
| ~ spl93_9
| ~ spl93_25 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1361,plain,
( ~ vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK91,sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8
| spl93_25 ),
inference(forward_demodulation,[],[f943,f1185]) ).
fof(f1362,plain,
( ~ vtcheck(vbind(sK90,sK91,sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| spl93_8
| spl93_25 ),
inference(forward_demodulation,[],[f1361,f1265]) ).
fof(f1371,plain,
( visFreeVar(sK87,veabs)
| vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK85(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| ~ spl93_26 ),
inference(resolution,[],[f949,f361]) ).
fof(f1392,plain,
( vtcheck(vbind(sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)),sK91,sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| visFreeVar(sK87,veabs)
| spl93_8
| ~ spl93_26 ),
inference(forward_demodulation,[],[f1371,f1185]) ).
fof(f1401,plain,
( vtcheck(vbind(sK90,sK91,sK89),veabs,sK86(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89)))
| visFreeVar(sK87,veabs)
| spl93_8
| ~ spl93_26 ),
inference(forward_demodulation,[],[f1392,f1265]) ).
fof(f1409,plain,
( visFreeVar(sK87,veabs)
| spl93_8
| spl93_25
| ~ spl93_26 ),
inference(forward_subsumption_resolution,[],[f1401,f1362]) ).
fof(f1462,plain,
( ! [X2,X3,X0,X1] :
( sK87 != X1
| visFreeVar(X1,X2)
| sK87 = X0
| vabs(X0,X3,veabs) != X2 )
| spl93_8
| spl93_25
| ~ spl93_26 ),
inference(resolution,[],[f1409,f231]) ).
fof(f1816,plain,
( ! [X2,X0,X1] :
( vabs(X1,X2,veabs) != X0
| sK87 = X1
| visFreeVar(sK87,X0) )
| spl93_8
| spl93_25
| ~ spl93_26 ),
inference(equality_resolution,[],[f1462]) ).
fof(f1823,plain,
( ! [X0,X1] :
( visFreeVar(sK87,vabs(X0,X1,veabs))
| sK87 = X0 )
| spl93_8
| spl93_25
| ~ spl93_26 ),
inference(equality_resolution,[],[f1816]) ).
fof(f1840,plain,
( visFreeVar(sK87,vabs(sK90,sK91,veabs))
| sK87 = sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8
| spl93_25
| ~ spl93_26 ),
inference(superposition,[],[f1823,f1209]) ).
fof(f1841,plain,
( sK87 = sK83(vabs(sK90,sK91,veabs),sK92,vbind(sK87,sK88,sK89))
| spl93_8
| spl93_25
| ~ spl93_26 ),
inference(forward_subsumption_resolution,[],[f1840,f363]) ).
fof(f1844,plain,
( $false
| spl93_8
| spl93_24
| spl93_25
| ~ spl93_26 ),
inference(forward_subsumption_resolution,[],[f1841,f940]) ).
fof(f1845,plain,
( spl93_8
| spl93_24
| spl93_25
| ~ spl93_26 ),
inference(avatar_contradiction_clause,[],[f1844]) ).
cnf(s9,plain,
( spl93_8
| spl93_9 ),
inference(sat_conversion,[],[f683]) ).
cnf(s10,plain,
~ spl93_8,
inference(sat_conversion,[],[f688]) ).
cnf(s27,plain,
( spl93_8
| ~ spl93_24
| spl93_25 ),
inference(sat_conversion,[],[f945]) ).
cnf(s28,plain,
( spl93_8
| spl93_24
| spl93_26 ),
inference(sat_conversion,[],[f950]) ).
cnf(s50,plain,
( spl93_8
| ~ spl93_9
| ~ spl93_25 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s65,plain,
( spl93_8
| spl93_24
| spl93_25
| ~ spl93_26 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s72,plain,
spl93_9,
inference(rat,[],[s9,s10]) ).
cnf(s73,plain,
~ spl93_25,
inference(rat,[],[s50,s10,s72]) ).
cnf(s74,plain,
~ spl93_24,
inference(rat,[],[s27,s10,s73]) ).
cnf(s75,plain,
~ spl93_26,
inference(rat,[],[s65,s73,s10,s74]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s28,s10,s75,s74]) ).
fof(f1846,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COM136+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 21:55:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.20 % (3824865)Will run a generic schedule for satisfiability detection.
% 0.09/0.20 % (3824871)% WARNING: option uhcvi not known.
% 0.09/0.20 % (3824874)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1238826300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.20 % (3824875)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3354424283:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.20 % (3824872)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2226270943:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.20 % (3824870)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1618634143_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.20 % (3824871)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2387927532:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.20 % (3824876)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1145967958:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.20 % (3824873)dis+10_1_sil=32000:sp=arity:random_seed=718105184:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.20 % TRYING [1]
% 0.09/0.20 % TRYING [2]
% 0.09/0.20 % TRYING [3]
% 0.09/0.20 % (3824874)Instruction limit reached!
% 0.09/0.20 % (3824874)------------------------------
% 0.09/0.20 % (3824874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.20 % (3824874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.20 % (3824874)CaDiCaL version: 2.1.3
% 0.09/0.20 % (3824874)Termination reason: Instruction limit
% 0.09/0.20 % (3824874)Termination phase: Saturation
% 0.09/0.20 % (3824874)Time elapsed: 0.033 s
% 0.09/0.20 % (3824874)Peak memory usage: 12 MB
% 0.09/0.20 % (3824874)Instructions burned: 116 (million)
% 0.09/0.20 % (3824875) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3824865-3824875"...
% 0.09/0.20 % (3824875)...printing done.
% 0.09/0.20 % (3824875)Refutation found. Thanks to Tanya!
% 0.09/0.20 % SZS status Theorem for theBenchmark
% 0.09/0.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.20 % (3824875)------------------------------
% 0.09/0.20 % (3824875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.20 % (3824875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.20 % (3824875)CaDiCaL version: 2.1.3
% 0.09/0.20 % (3824875)Termination reason: Refutation
% 0.09/0.20 % (3824875)Time elapsed: 0.035 s
% 0.09/0.20 % (3824875)Peak memory usage: 14 MB
% 0.09/0.20 % (3824875)Instructions burned: 108 (million)
% 0.09/0.20 % (3824865)Success in time 0.069 s
% 0.09/0.20 % Vampire exiting
%------------------------------------------------------------------------------