%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM138+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 : 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 09:40:23 AM UTC 2026
% Result : Theorem 0.21s 0.33s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 95 ( 16 unt; 6 def)
% Number of atoms : 284 ( 123 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 297 ( 108 ~; 126 |; 47 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 203 ( 0 sgn 147 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
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(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
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/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(f24,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 = X5
& X3 = vbind(X1,X0,X6) )
=> ( X5 != X1
=> ( X4 = vlookup(X2,X3)
=> X4 = vlookup(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(f51,axiom,
! [X0,X1,X2] :
( vlookup(X1,X0) = vsomeType(X2)
=> vtcheck(X0,vvar(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
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,conjecture,
! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) )
=> vtcheck(X2,vvar(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-var') ).
fof(f57,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) )
=> vtcheck(X2,vvar(X3),X4) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f64,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(f73,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(f74,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f73]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = vlookup(X5,X6)
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(ennf_transformation,[],[f24]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = vlookup(X5,X6)
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(flattening,[],[f90]) ).
fof(f136,plain,
! [X0,X1,X2] :
( vtcheck(X0,vvar(X1),X2)
| vsomeType(X2) != vlookup(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f140,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,[],[f64]) ).
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(flattening,[],[f140]) ).
fof(f144,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(ennf_transformation,[],[f57]) ).
fof(f145,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(flattening,[],[f144]) ).
fof(f161,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(f162,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,[],[f141,f161]) ).
fof(f204,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,[],[f161]) ).
fof(f205,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,[],[f204]) ).
fof(f206,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))],[f205]) ).
fof(f207,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))],[f162]) ).
fof(f208,plain,
( ~ vtcheck(sK89,vvar(sK90),sK91)
& ~ visFreeVar(sK87,vvar(sK90))
& vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91)],[f145]) ).
fof(f218,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ visFreeVar(X0,X1)
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(cnf_transformation,[],[f91]) ).
fof(f345,plain,
! [X2,X0,X1] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f206]) ).
fof(f353,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)
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f356,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,[],[f207]) ).
fof(f358,plain,
vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91),
inference(cnf_transformation,[],[f208]) ).
fof(f359,plain,
~ visFreeVar(sK87,vvar(sK90)),
inference(cnf_transformation,[],[f208]) ).
fof(f360,plain,
~ vtcheck(sK89,vvar(sK90),sK91),
inference(cnf_transformation,[],[f208]) ).
fof(f370,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| X0 != X3
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f225]) ).
fof(f371,plain,
! [X3,X1] :
( visFreeVar(X3,X1)
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f370]) ).
fof(f372,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f371]) ).
fof(f373,plain,
! [X2,X3,X1] :
( X2 = X3
| ~ visFreeVar(X3,X1)
| vvar(X2) != X1 ),
inference(equality_resolution,[],[f224]) ).
fof(f374,plain,
! [X2,X3] :
( ~ visFreeVar(X3,vvar(X2))
| X2 = X3 ),
inference(equality_resolution,[],[f373]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X6,X5] :
( vlookup(X2,X3) = vlookup(X5,X6)
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(equality_resolution,[],[f247]) ).
fof(f404,plain,
! [X3,X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,X3)
| X1 = X5
| vbind(X1,X0,X6) != X3 ),
inference(equality_resolution,[],[f403]) ).
fof(f405,plain,
! [X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
| X1 = X5 ),
inference(equality_resolution,[],[f404]) ).
fof(f867,definition,
( spl92_1
<=> vvar(sK90) = vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) ),
introduced(definition,[new_symbols(definition,[spl92_1])],[avatar_definition]) ).
fof(f869,plain,
( vvar(sK90) = vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)))
| ~ spl92_1 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f871,definition,
( spl92_2
<=> sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89)) ),
introduced(definition,[new_symbols(definition,[spl92_2])],[avatar_definition]) ).
fof(f872,plain,
( ~ sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| spl92_2 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f873,plain,
( sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| ~ spl92_2 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f879,plain,
( vvar(sK90) = vapp(sK79(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK80(vvar(sK90),sK91,vbind(sK87,sK88,sK89)))
| ~ spl92_2 ),
inference(resolution,[],[f873,f350]) ).
fof(f880,plain,
( $false
| ~ spl92_2 ),
inference(forward_subsumption_resolution,[],[f879,f219]) ).
fof(f881,plain,
~ spl92_2,
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f889,definition,
( spl92_4
<=> vsomeType(sK91) = vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) ),
introduced(definition,[new_symbols(definition,[spl92_4])],[avatar_definition]) ).
fof(f891,plain,
( vsomeType(sK91) = vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89))
| ~ spl92_4 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f899,plain,
( vvar(sK90) = vabs(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK85(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89)))
| sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| vvar(sK90) = vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) ),
inference(resolution,[],[f356,f358]) ).
fof(f907,plain,
( sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| vvar(sK90) = vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) ),
inference(forward_subsumption_resolution,[],[f899,f218]) ).
fof(f908,plain,
( vvar(sK90) = vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)))
| spl92_2 ),
inference(forward_subsumption_resolution,[],[f907,f872]) ).
fof(f909,plain,
( spl92_1
| spl92_2 ),
inference(avatar_split_clause,[],[f908,f871,f867]) ).
fof(f915,plain,
( visFreeVar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vvar(sK90))
| ~ spl92_1 ),
inference(superposition,[],[f372,f869]) ).
fof(f934,definition,
( spl92_5
<=> sK87 = sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)) ),
introduced(definition,[new_symbols(definition,[spl92_5])],[avatar_definition]) ).
fof(f935,plain,
( sK87 != sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| spl92_5 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f936,plain,
( sK87 = sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| ~ spl92_5 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f945,plain,
( vvar(sK90) = vvar(sK87)
| ~ spl92_1
| ~ spl92_5 ),
inference(superposition,[],[f869,f936]) ).
fof(f946,plain,
( vvar(sK90) = vabs(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK85(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89)))
| sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| vsomeType(sK91) = vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) ),
inference(resolution,[],[f353,f358]) ).
fof(f953,plain,
( sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| vsomeType(sK91) = vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) ),
inference(forward_subsumption_resolution,[],[f946,f218]) ).
fof(f954,plain,
( vsomeType(sK91) = vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89))
| spl92_2 ),
inference(forward_subsumption_resolution,[],[f953,f872]) ).
fof(f982,plain,
( ~ visFreeVar(sK87,vvar(sK87))
| ~ spl92_1
| ~ spl92_5 ),
inference(superposition,[],[f359,f945]) ).
fof(f1019,definition,
( spl92_8
<=> sK87 = sK90 ),
introduced(definition,[new_symbols(definition,[spl92_8])],[avatar_definition]) ).
fof(f1020,plain,
( sK87 != sK90
| spl92_8 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1035,plain,
( $false
| ~ spl92_1
| ~ spl92_5 ),
inference(forward_subsumption_resolution,[],[f982,f372]) ).
fof(f1036,plain,
( ~ spl92_1
| ~ spl92_5 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1038,plain,
( spl92_4
| spl92_2 ),
inference(avatar_split_clause,[],[f954,f871,f889]) ).
fof(f1045,plain,
( sK90 = sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| ~ spl92_1 ),
inference(resolution,[],[f915,f374]) ).
fof(f1070,plain,
( sK87 != sK90
| ~ spl92_1
| spl92_5 ),
inference(superposition,[],[f935,f1045]) ).
fof(f1071,plain,
( ~ spl92_8
| ~ spl92_1
| spl92_5 ),
inference(avatar_split_clause,[],[f1070,f934,f867,f1019]) ).
fof(f1118,plain,
( vsomeType(sK91) = vlookup(sK90,vbind(sK87,sK88,sK89))
| ~ spl92_1
| ~ spl92_4 ),
inference(forward_demodulation,[],[f891,f1045]) ).
fof(f1120,plain,
( vsomeType(sK91) = vlookup(sK90,sK89)
| sK87 = sK90
| ~ spl92_1
| ~ spl92_4 ),
inference(superposition,[],[f405,f1118]) ).
fof(f1141,plain,
( vsomeType(sK91) = vlookup(sK90,sK89)
| ~ spl92_1
| ~ spl92_4
| spl92_8 ),
inference(forward_subsumption_resolution,[],[f1120,f1020]) ).
fof(f1283,plain,
( ! [X0] :
( vsomeType(X0) != vsomeType(sK91)
| vtcheck(sK89,vvar(sK90),X0) )
| ~ spl92_1
| ~ spl92_4
| spl92_8 ),
inference(superposition,[],[f345,f1141]) ).
fof(f1560,plain,
( vtcheck(sK89,vvar(sK90),sK91)
| ~ spl92_1
| ~ spl92_4
| spl92_8 ),
inference(equality_resolution,[],[f1283]) ).
fof(f1561,plain,
( $false
| ~ spl92_1
| ~ spl92_4
| spl92_8 ),
inference(forward_subsumption_resolution,[],[f1560,f360]) ).
fof(f1562,plain,
( ~ spl92_1
| ~ spl92_4
| spl92_8 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
cnf(s2,plain,
~ spl92_2,
inference(sat_conversion,[],[f881]) ).
cnf(s4,plain,
( spl92_1
| spl92_2 ),
inference(sat_conversion,[],[f909]) ).
cnf(s9,plain,
( ~ spl92_1
| ~ spl92_5 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s10,plain,
( spl92_2
| spl92_4 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s11,plain,
( ~ spl92_1
| spl92_5
| ~ spl92_8 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s18,plain,
( ~ spl92_1
| ~ spl92_4
| spl92_8 ),
inference(sat_conversion,[],[f1562]) ).
cnf(s19,plain,
spl92_4,
inference(rat,[],[s10,s2]) ).
cnf(s20,plain,
spl92_1,
inference(rat,[],[s4,s2]) ).
cnf(s21,plain,
spl92_8,
inference(rat,[],[s18,s19,s20]) ).
cnf(s22,plain,
spl92_5,
inference(rat,[],[s11,s21,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s9,s22,s20]) ).
fof(f1563,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n008.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 21:56:24 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 0.21/0.33 % (2696284)Will run a generic schedule for satisfiability detection.
% 0.21/0.33 % (2696293)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2338980223:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.33 % (2696290)% WARNING: option uhcvi not known.
% 0.21/0.33 % (2696289)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3128619954_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.33 % (2696290)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2914591886:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.33 % (2696291)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=647573418:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.33 % (2696292)dis+10_1_sil=32000:sp=arity:random_seed=2863831300:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.33 % (2696295)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1718469253:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.33 % (2696294)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2827557119:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.33 % TRYING [1]
% 0.21/0.33 % TRYING [2]
% 0.21/0.33 % (2696293)Instruction limit reached!
% 0.21/0.33 % (2696293)------------------------------
% 0.21/0.33 % (2696293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2696293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2696293)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2696293)Termination reason: Instruction limit
% 0.21/0.33 % (2696293)Termination phase: Saturation
% 0.21/0.33 % (2696293)Time elapsed: 0.035 s
% 0.21/0.33 % (2696293)Peak memory usage: 13 MB
% 0.21/0.33 % (2696293)Instructions burned: 117 (million)
% 0.21/0.33 % TRYING [3]
% 0.21/0.33 % (2696304)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=118922319:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.33 % (2696292) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2696284-2696292"...
% 0.21/0.33 % (2696292)...printing done.
% 0.21/0.33 % TRYING [1]
% 0.21/0.33 % TRYING [2]
% 0.21/0.33 % (2696292)Refutation found. Thanks to Tanya!
% 0.21/0.33 % SZS status Theorem for theBenchmark
% 0.21/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.33 % (2696292)------------------------------
% 0.21/0.33 % (2696292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (2696292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (2696292)CaDiCaL version: 2.1.3
% 0.21/0.33 % (2696292)Termination reason: Refutation
% 0.21/0.33 % (2696292)Time elapsed: 0.047 s
% 0.21/0.33 % (2696292)Peak memory usage: 13 MB
% 0.21/0.33 % (2696292)Instructions burned: 76 (million)
% 0.21/0.33 % (2696284)Success in time 0.085 s
% 0.21/0.33 % Vampire exiting
%------------------------------------------------------------------------------