%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM126+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 : n005.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 09:40:21 AM UTC 2026
% Result : Theorem 2.47s 0.58s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 118 ( 26 unt; 8 def)
% Number of atoms : 334 ( 95 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 352 ( 136 ~; 141 |; 58 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 248 ( 0 sgn 194 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
=> ( X0 = X2
& X1 = X3 ) )
& ( ( X0 = X2
& X1 = X3 )
=> vapp(X0,X1) = vapp(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
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(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/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof(f53,axiom,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X2,varrow(X0,X4))
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vapp(X2,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-app') ).
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(f57,axiom,
! [X0,X1,X2,X3] :
( ( ~ visFreeVar(X0,ve1app)
& vtcheck(X2,ve1app,X3) )
=> vtcheck(vbind(X0,X1,X2),ve1app,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app-IH1') ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( ~ visFreeVar(X0,ve2app)
& vtcheck(X2,ve2app,X3) )
=> vtcheck(vbind(X0,X1,X2),ve2app,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app-IH2') ).
fof(f59,conjecture,
! [X0,X1,X2,X3] :
( ( ~ visFreeVar(X0,vapp(ve1app,ve2app))
& vtcheck(X2,vapp(ve1app,ve2app),X3) )
=> vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app') ).
fof(f60,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ~ visFreeVar(X0,vapp(ve1app,ve2app))
& vtcheck(X2,vapp(ve1app,ve2app),X3) )
=> vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f67,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(f71,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(flattening,[],[f71]) ).
fof(f80,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(f81,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,[],[f80]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0) ),
inference(flattening,[],[f141]) ).
fof(f143,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,[],[f67]) ).
fof(f144,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,[],[f143]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| visFreeVar(X0,ve1app)
| ~ vtcheck(X2,ve1app,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| visFreeVar(X0,ve1app)
| ~ vtcheck(X2,ve1app,X3) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| visFreeVar(X0,ve2app)
| ~ vtcheck(X2,ve2app,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| visFreeVar(X0,ve2app)
| ~ vtcheck(X2,ve2app,X3) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& ~ visFreeVar(X0,vapp(ve1app,ve2app))
& vtcheck(X2,vapp(ve1app,ve2app),X3) ),
inference(ennf_transformation,[],[f60]) ).
fof(f154,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& ~ visFreeVar(X0,vapp(ve1app,ve2app))
& vtcheck(X2,vapp(ve1app,ve2app),X3) ),
inference(flattening,[],[f153]) ).
fof(f170,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(f171,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,[],[f144,f170]) ).
fof(f213,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,[],[f170]) ).
fof(f214,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,[],[f213]) ).
fof(f215,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))],[f214]) ).
fof(f216,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))],[f171]) ).
fof(f217,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90)
& ~ visFreeVar(sK87,vapp(ve1app,ve2app))
& vtcheck(sK89,vapp(ve1app,ve2app),sK90) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90)],[f154]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f72]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f228,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(X1,X2,varrow(X0,X4))
| vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f357,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f215]) ).
fof(f358,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f215]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f215]) ).
fof(f365,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,[],[f216]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| visFreeVar(X0,ve1app)
| ~ vtcheck(X2,ve1app,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f369,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| visFreeVar(X0,ve2app)
| ~ vtcheck(X2,ve2app,X3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f370,plain,
vtcheck(sK89,vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f217]) ).
fof(f371,plain,
~ visFreeVar(sK87,vapp(ve1app,ve2app)),
inference(cnf_transformation,[],[f217]) ).
fof(f372,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f217]) ).
fof(f394,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f240]) ).
fof(f395,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f394]) ).
fof(f396,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f239]) ).
fof(f397,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f396]) ).
fof(f484,definition,
sF91 = vbind(sK87,sK88,sK89),
introduced(definition,[new_symbols(definition,[sF91])],[function_definition]) ).
fof(f485,plain,
vbind(sK87,sK88,sK89) = sF91,
inference(reorient_equations,[],[f484]) ).
fof(f486,definition,
sF92 = vapp(ve1app,ve2app),
introduced(definition,[new_symbols(definition,[sF92])],[function_definition]) ).
fof(f487,plain,
vapp(ve1app,ve2app) = sF92,
inference(reorient_equations,[],[f486]) ).
fof(f488,plain,
~ vtcheck(sF91,sF92,sK90),
inference(definition_folding,[],[f372,f487,f485]) ).
fof(f489,plain,
~ visFreeVar(sK87,sF92),
inference(definition_folding,[],[f371,f487]) ).
fof(f490,plain,
vtcheck(sK89,sF92,sK90),
inference(definition_folding,[],[f370,f487]) ).
fof(f493,plain,
! [X0] : vvar(X0) != sF92,
inference(superposition,[],[f228,f487]) ).
fof(f497,plain,
! [X2,X0,X1] : vabs(X0,X1,X2) != sF92,
inference(superposition,[],[f229,f487]) ).
fof(f501,plain,
! [X0] :
( ~ visFreeVar(X0,ve1app)
| visFreeVar(X0,sF92) ),
inference(superposition,[],[f395,f487]) ).
fof(f503,plain,
! [X0] :
( ~ visFreeVar(X0,ve2app)
| visFreeVar(X0,sF92) ),
inference(superposition,[],[f397,f487]) ).
fof(f509,plain,
! [X0,X1] :
( vapp(X0,X1) != sF92
| ve2app = X1 ),
inference(superposition,[],[f225,f487]) ).
fof(f515,plain,
! [X0,X1] :
( vapp(X0,X1) != sF92
| ve1app = X0 ),
inference(superposition,[],[f226,f487]) ).
fof(f613,plain,
! [X0] :
( vtcheck(sF91,ve1app,X0)
| visFreeVar(sK87,ve1app)
| ~ vtcheck(sK89,ve1app,X0) ),
inference(superposition,[],[f368,f485]) ).
fof(f616,definition,
( spl93_1
<=> visFreeVar(sK87,ve1app) ),
introduced(definition,[new_symbols(definition,[spl93_1])],[avatar_definition]) ).
fof(f618,plain,
( visFreeVar(sK87,ve1app)
| ~ spl93_1 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,definition,
( spl93_2
<=> ! [X0] :
( vtcheck(sF91,ve1app,X0)
| ~ vtcheck(sK89,ve1app,X0) ) ),
introduced(definition,[new_symbols(definition,[spl93_2])],[avatar_definition]) ).
fof(f621,plain,
( ! [X0] :
( ~ vtcheck(sK89,ve1app,X0)
| vtcheck(sF91,ve1app,X0) )
| ~ spl93_2 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f622,plain,
( spl93_1
| spl93_2 ),
inference(avatar_split_clause,[],[f613,f620,f616]) ).
fof(f624,plain,
! [X0] :
( vtcheck(sF91,ve2app,X0)
| visFreeVar(sK87,ve2app)
| ~ vtcheck(sK89,ve2app,X0) ),
inference(superposition,[],[f369,f485]) ).
fof(f627,definition,
( spl93_3
<=> visFreeVar(sK87,ve2app) ),
introduced(definition,[new_symbols(definition,[spl93_3])],[avatar_definition]) ).
fof(f629,plain,
( visFreeVar(sK87,ve2app)
| ~ spl93_3 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f631,definition,
( spl93_4
<=> ! [X0] :
( vtcheck(sF91,ve2app,X0)
| ~ vtcheck(sK89,ve2app,X0) ) ),
introduced(definition,[new_symbols(definition,[spl93_4])],[avatar_definition]) ).
fof(f632,plain,
( ! [X0] :
( ~ vtcheck(sK89,ve2app,X0)
| vtcheck(sF91,ve2app,X0) )
| ~ spl93_4 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( spl93_3
| spl93_4 ),
inference(avatar_split_clause,[],[f624,f631,f627]) ).
fof(f634,plain,
( visFreeVar(sK87,sF92)
| ~ spl93_3 ),
inference(resolution,[],[f629,f503]) ).
fof(f635,plain,
( $false
| ~ spl93_3 ),
inference(forward_subsumption_resolution,[],[f634,f489]) ).
fof(f636,plain,
~ spl93_3,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f1136,definition,
( spl93_17
<=> sP12(sF92,sK90,sK89) ),
introduced(definition,[new_symbols(definition,[spl93_17])],[avatar_definition]) ).
fof(f1137,plain,
( ~ sP12(sF92,sK90,sK89)
| spl93_17 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1138,plain,
( sP12(sF92,sK90,sK89)
| ~ spl93_17 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1161,plain,
( sF92 = vapp(sK79(sF92,sK90,sK89),sK80(sF92,sK90,sK89))
| ~ spl93_17 ),
inference(resolution,[],[f1138,f359]) ).
fof(f1176,plain,
( sF92 != sF92
| ve2app = sK80(sF92,sK90,sK89)
| ~ spl93_17 ),
inference(superposition,[],[f509,f1161]) ).
fof(f1197,plain,
( ve2app = sK80(sF92,sK90,sK89)
| ~ spl93_17 ),
inference(trivial_inequality_removal,[],[f1176]) ).
fof(f1216,plain,
( sF92 = vabs(sK83(sF92,sK90,sK89),sK85(sF92,sK90,sK89),sK84(sF92,sK90,sK89))
| sP12(sF92,sK90,sK89)
| sF92 = vvar(sK82(sF92,sK90,sK89)) ),
inference(resolution,[],[f365,f490]) ).
fof(f1236,plain,
( vtcheck(sK89,ve2app,sK81(sF92,sK90,sK89))
| ~ sP12(sF92,sK90,sK89)
| ~ spl93_17 ),
inference(superposition,[],[f357,f1197]) ).
fof(f1237,plain,
( vtcheck(sK89,ve2app,sK81(sF92,sK90,sK89))
| ~ spl93_17 ),
inference(forward_subsumption_resolution,[],[f1236,f1138]) ).
fof(f1239,plain,
( vtcheck(sF91,ve2app,sK81(sF92,sK90,sK89))
| ~ spl93_4
| ~ spl93_17 ),
inference(resolution,[],[f1237,f632]) ).
fof(f1268,plain,
( sP12(sF92,sK90,sK89)
| sF92 = vvar(sK82(sF92,sK90,sK89)) ),
inference(forward_subsumption_resolution,[],[f1216,f497]) ).
fof(f1270,plain,
( sF92 = vvar(sK82(sF92,sK90,sK89))
| spl93_17 ),
inference(forward_subsumption_resolution,[],[f1268,f1137]) ).
fof(f1272,plain,
( $false
| spl93_17 ),
inference(forward_subsumption_resolution,[],[f1270,f493]) ).
fof(f1273,plain,
spl93_17,
inference(avatar_contradiction_clause,[],[f1272]) ).
fof(f1281,plain,
( sF92 = vapp(sK79(sF92,sK90,sK89),sK80(sF92,sK90,sK89))
| ~ spl93_17 ),
inference(resolution,[],[f1138,f359]) ).
fof(f1393,plain,
( sF92 != sF92
| ve1app = sK79(sF92,sK90,sK89)
| ~ spl93_17 ),
inference(superposition,[],[f515,f1281]) ).
fof(f1410,plain,
( ve1app = sK79(sF92,sK90,sK89)
| ~ spl93_17 ),
inference(trivial_inequality_removal,[],[f1393]) ).
fof(f1440,plain,
( vtcheck(sK89,ve1app,varrow(sK81(sF92,sK90,sK89),sK90))
| ~ sP12(sF92,sK90,sK89)
| ~ spl93_17 ),
inference(superposition,[],[f358,f1410]) ).
fof(f1441,plain,
( vtcheck(sK89,ve1app,varrow(sK81(sF92,sK90,sK89),sK90))
| ~ spl93_17 ),
inference(forward_subsumption_resolution,[],[f1440,f1138]) ).
fof(f1538,plain,
( visFreeVar(sK87,sF92)
| ~ spl93_1 ),
inference(resolution,[],[f618,f501]) ).
fof(f1540,plain,
( $false
| ~ spl93_1 ),
inference(forward_subsumption_resolution,[],[f1538,f489]) ).
fof(f1541,plain,
~ spl93_1,
inference(avatar_contradiction_clause,[],[f1540]) ).
fof(f1545,plain,
( vtcheck(sF91,ve1app,varrow(sK81(sF92,sK90,sK89),sK90))
| ~ spl93_2
| ~ spl93_17 ),
inference(resolution,[],[f621,f1441]) ).
fof(f1548,plain,
( ! [X0] :
( ~ vtcheck(sF91,X0,sK81(sF92,sK90,sK89))
| vtcheck(sF91,vapp(ve1app,X0),sK90) )
| ~ spl93_2
| ~ spl93_17 ),
inference(resolution,[],[f1545,f356]) ).
fof(f2216,plain,
( vtcheck(sF91,vapp(ve1app,ve2app),sK90)
| ~ spl93_2
| ~ spl93_4
| ~ spl93_17 ),
inference(resolution,[],[f1548,f1239]) ).
fof(f2217,plain,
( vtcheck(sF91,sF92,sK90)
| ~ spl93_2
| ~ spl93_4
| ~ spl93_17 ),
inference(forward_demodulation,[],[f2216,f487]) ).
fof(f2218,plain,
( $false
| ~ spl93_2
| ~ spl93_4
| ~ spl93_17 ),
inference(forward_subsumption_resolution,[],[f2217,f488]) ).
fof(f2219,plain,
( ~ spl93_2
| ~ spl93_4
| ~ spl93_17 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
cnf(s1,plain,
( spl93_1
| spl93_2 ),
inference(sat_conversion,[],[f622]) ).
cnf(s2,plain,
( spl93_3
| spl93_4 ),
inference(sat_conversion,[],[f633]) ).
cnf(s3,plain,
~ spl93_3,
inference(sat_conversion,[],[f636]) ).
cnf(s18,plain,
spl93_17,
inference(sat_conversion,[],[f1273]) ).
cnf(s31,plain,
~ spl93_1,
inference(sat_conversion,[],[f1541]) ).
cnf(s37,plain,
( ~ spl93_2
| ~ spl93_4
| ~ spl93_17 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s46,plain,
spl93_4,
inference(rat,[],[s2,s3]) ).
cnf(s47,plain,
~ spl93_2,
inference(rat,[],[s37,s18,s46]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s1,s47,s31]) ).
fof(f2220,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM126+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n005.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 21:55:01 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 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
% 2.47/0.57 % (1227949)Will run a generic schedule for satisfiability detection.
% 2.47/0.57 % (1227957)dis+10_1_sil=32000:sp=arity:random_seed=3013433118:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.47/0.57 % (1227955)% WARNING: option uhcvi not known.
% 2.47/0.57 % (1227954)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4025980404_2999 on theBenchmark for (2999ds/0Mi)
% 2.47/0.57 % (1227955)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=976783495:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.47/0.57 % (1227958)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3972206695:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.47/0.57 % (1227959)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2124256265:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.47/0.57 % (1227956)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2629874910:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.47/0.57 % (1227960)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1513073068:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.47/0.58 % TRYING [1]
% 2.47/0.58 % TRYING [2]
% 2.47/0.58 % (1227957)Instruction limit reached!
% 2.47/0.58 % (1227957)------------------------------
% 2.47/0.58 % (1227957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227957)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227957)Termination reason: Instruction limit
% 2.47/0.58 % (1227957)Termination phase: Saturation
% 2.47/0.58 % (1227957)Time elapsed: 0.033 s
% 2.47/0.58 % (1227957)Peak memory usage: 13 MB
% 2.47/0.58 % (1227957)Instructions burned: 105 (million)
% 2.47/0.58 % (1227968)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3896670367:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.47/0.58 % TRYING [3]
% 2.47/0.58 % TRYING [1]
% 2.47/0.58 % TRYING [2]
% 2.47/0.58 % TRYING [3]
% 2.47/0.58 % (1227958)Instruction limit reached!
% 2.47/0.58 % (1227958)------------------------------
% 2.47/0.58 % (1227958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227958)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227958)Termination reason: Instruction limit
% 2.47/0.58 % (1227958)Termination phase: Saturation
% 2.47/0.58 % (1227958)Time elapsed: 0.064 s
% 2.47/0.58 % (1227958)Peak memory usage: 12 MB
% 2.47/0.58 % (1227958)Instructions burned: 117 (million)
% 2.47/0.58 % (1227959)Instruction limit reached!
% 2.47/0.58 % (1227959)------------------------------
% 2.47/0.58 % (1227959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227959)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227959)Termination reason: Instruction limit
% 2.47/0.58 % (1227959)Termination phase: Saturation
% 2.47/0.58 % (1227959)Time elapsed: 0.082 s
% 2.47/0.58 % (1227959)Peak memory usage: 13 MB
% 2.47/0.58 % (1227959)Instructions burned: 137 (million)
% 2.47/0.58 % (1227970)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1532577547:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.47/0.58 % (1227971)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=781205274:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.47/0.58 % (1227960)Instruction limit reached!
% 2.47/0.58 % (1227960)------------------------------
% 2.47/0.58 % (1227960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227960)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227960)Termination reason: Instruction limit
% 2.47/0.58 % (1227960)Termination phase: Saturation
% 2.47/0.58 % (1227960)Time elapsed: 0.102 s
% 2.47/0.58 % (1227960)Peak memory usage: 14 MB
% 2.47/0.58 % (1227960)Instructions burned: 159 (million)
% 2.47/0.58 % (1227974)ott-21_1_sil=16000:fs=off:random_seed=1259797318:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.47/0.58 % (1227970)Instruction limit reached!
% 2.47/0.58 % (1227970)------------------------------
% 2.47/0.58 % (1227970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227970)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227970)Termination reason: Instruction limit
% 2.47/0.58 % (1227970)Termination phase: Saturation
% 2.47/0.58 % (1227970)Time elapsed: 0.075 s
% 2.47/0.58 % (1227970)Peak memory usage: 13 MB
% 2.47/0.58 % (1227970)Instructions burned: 132 (million)
% 2.47/0.58 % (1227976)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3938658783:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.47/0.58 % (1227968)Instruction limit reached!
% 2.47/0.58 % (1227968)------------------------------
% 2.47/0.58 % (1227968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227968)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227968)Termination reason: Instruction limit
% 2.47/0.58 % (1227968)Termination phase: Finite model building SAT solving
% 2.47/0.58 % (1227968)Time elapsed: 0.144 s
% 2.47/0.58 % (1227968)Peak memory usage: 42 MB
% 2.47/0.58 % (1227968)Instructions burned: 715 (million)
% 2.47/0.58 % (1227978)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1874543174:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.47/0.58 % TRYING [1]
% 2.47/0.58 % TRYING [2]
% 2.47/0.58 % (1227974)Instruction limit reached!
% 2.47/0.58 % (1227974)------------------------------
% 2.47/0.58 % (1227974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227974)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227974)Termination reason: Instruction limit
% 2.47/0.58 % (1227974)Termination phase: Saturation
% 2.47/0.58 % (1227974)Time elapsed: 0.101 s
% 2.47/0.58 % (1227974)Peak memory usage: 13 MB
% 2.47/0.58 % (1227974)Instructions burned: 181 (million)
% 2.47/0.58 % TRYING [3]
% 2.47/0.58 % TRYING [4]
% 2.47/0.58 % (1227980)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=312332461:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.47/0.58 % (1227980) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1227949-1227980"...
% 2.47/0.58 % (1227980)...printing done.
% 2.47/0.58 % (1227980)Refutation found. Thanks to Tanya!
% 2.47/0.58 % SZS status Theorem for theBenchmark
% 2.47/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.58 % (1227980)------------------------------
% 2.47/0.58 % (1227980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.58 % (1227980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.58 % (1227980)CaDiCaL version: 2.1.3
% 2.47/0.58 % (1227980)Termination reason: Refutation
% 2.47/0.58 % (1227980)Time elapsed: 0.071 s
% 2.47/0.58 % (1227980)Peak memory usage: 14 MB
% 2.47/0.58 % (1227980)Instructions burned: 113 (million)
% 2.47/0.58 % (1227949)Success in time 0.363 s
% 2.47/0.58 % Vampire exiting
%------------------------------------------------------------------------------