%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM139+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 5.67s 1.13s
% Output : Refutation 5.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 117 ( 26 unt; 7 def)
% Number of atoms : 342 ( 169 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 331 ( 106 ~; 149 |; 61 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 11 con; 0-3 aty)
% Number of variables : 305 ( 0 sgn 247 !; 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/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
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/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,veabs,X3) )
=> vtcheck(vbind(X0,X1,X2),veabs,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-IH') ).
fof(f56,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 != X3
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-1') ).
fof(f57,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( X0 != X3
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
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(f66,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(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(flattening,[],[f66]) ).
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(f96,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(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(flattening,[],[f96]) ).
fof(f137,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(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(f142,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),veabs,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,veabs,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),veabs,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,veabs,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& X0 != X3
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f57]) ).
fof(f145,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& X0 != X3
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
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(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
& sK87 != sK90
& vnoType = vlookup(sK87,sK89)
& vtcheck(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)],[f145]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f67]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f67]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f67]) ).
fof(f218,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
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(f260,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,[],[f97]) ).
fof(f346,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,[],[f137]) ).
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(f354,plain,
! [X2,X0,X1] :
( vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2))
| vvar(sK82(X0,X1,X2)) = X0
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f355,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,[],[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(f357,plain,
! [X2,X3,X0,X1] :
( vnoType != vlookup(X0,X2)
| vtcheck(vbind(X0,X1,X2),veabs,X3)
| ~ vtcheck(X2,veabs,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f358,plain,
vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f208]) ).
fof(f359,plain,
vnoType = vlookup(sK87,sK89),
inference(cnf_transformation,[],[f208]) ).
fof(f360,plain,
sK87 != sK90,
inference(cnf_transformation,[],[f208]) ).
fof(f361,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f208]) ).
fof(f404,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(f405,plain,
! [X3,X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,X3)
| X1 = X5
| vbind(X1,X0,X6) != X3 ),
inference(equality_resolution,[],[f404]) ).
fof(f406,plain,
! [X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
| X1 = X5 ),
inference(equality_resolution,[],[f405]) ).
fof(f473,definition,
sF93 = vbind(sK87,sK88,sK89),
introduced(definition,[new_symbols(definition,[sF93])],[function_definition]) ).
fof(f474,plain,
vbind(sK87,sK88,sK89) = sF93,
inference(reorient_equations,[],[f473]) ).
fof(f475,definition,
sF94 = vabs(sK90,sK91,veabs),
introduced(definition,[new_symbols(definition,[sF94])],[function_definition]) ).
fof(f476,plain,
vabs(sK90,sK91,veabs) = sF94,
inference(reorient_equations,[],[f475]) ).
fof(f477,plain,
~ vtcheck(sF93,sF94,sK92),
inference(definition_folding,[],[f361,f476,f474]) ).
fof(f478,definition,
sF95 = vlookup(sK87,sK89),
introduced(definition,[new_symbols(definition,[sF95])],[function_definition]) ).
fof(f479,plain,
vlookup(sK87,sK89) = sF95,
inference(reorient_equations,[],[f478]) ).
fof(f480,plain,
vnoType = sF95,
inference(definition_folding,[],[f359,f479]) ).
fof(f481,plain,
vtcheck(sK89,sF94,sK92),
inference(definition_folding,[],[f358,f476]) ).
fof(f483,plain,
vnoType = vlookup(sK87,sK89),
inference(forward_demodulation,[],[f479,f480]) ).
fof(f487,plain,
! [X0] : vvar(X0) != sF94,
inference(superposition,[],[f218,f476]) ).
fof(f491,plain,
! [X0,X1] : vapp(X0,X1) != sF94,
inference(superposition,[],[f220,f476]) ).
fof(f540,plain,
! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| veabs = X2 ),
inference(superposition,[],[f212,f476]) ).
fof(f543,plain,
! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| sK91 = X1 ),
inference(superposition,[],[f213,f476]) ).
fof(f546,plain,
! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| sK90 = X0 ),
inference(superposition,[],[f214,f476]) ).
fof(f697,plain,
! [X2,X3,X0,X1,X4,X5] :
( vnoType != vlookup(X0,X1)
| vtcheck(vbind(X0,X4,vbind(X2,X3,X1)),veabs,X5)
| ~ vtcheck(vbind(X2,X3,X1),veabs,X5)
| X0 = X2 ),
inference(superposition,[],[f357,f406]) ).
fof(f976,plain,
( sK92 = varrow(sK85(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89)
| sF94 = vvar(sK82(sF94,sK92,sK89)) ),
inference(resolution,[],[f355,f481]) ).
fof(f998,plain,
( sK92 = varrow(sK85(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89) ),
inference(forward_subsumption_resolution,[],[f976,f487]) ).
fof(f1024,definition,
( spl96_15
<=> sP12(sF94,sK92,sK89) ),
introduced(definition,[new_symbols(definition,[spl96_15])],[avatar_definition]) ).
fof(f1025,plain,
( ~ sP12(sF94,sK92,sK89)
| spl96_15 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1026,plain,
( sP12(sF94,sK92,sK89)
| ~ spl96_15 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1028,definition,
( spl96_16
<=> sK92 = varrow(sK85(sF94,sK92,sK89),sK86(sF94,sK92,sK89)) ),
introduced(definition,[new_symbols(definition,[spl96_16])],[avatar_definition]) ).
fof(f1030,plain,
( sK92 = varrow(sK85(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| ~ spl96_16 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1031,plain,
( spl96_15
| spl96_16 ),
inference(avatar_split_clause,[],[f998,f1028,f1024]) ).
fof(f1045,plain,
( sF94 = vapp(sK79(sF94,sK92,sK89),sK80(sF94,sK92,sK89))
| ~ spl96_15 ),
inference(resolution,[],[f1026,f350]) ).
fof(f1046,plain,
( $false
| ~ spl96_15 ),
inference(forward_subsumption_resolution,[],[f1045,f491]) ).
fof(f1047,plain,
~ spl96_15,
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1050,plain,
( sF94 = vabs(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK84(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89)
| sF94 = vvar(sK82(sF94,sK92,sK89)) ),
inference(resolution,[],[f356,f481]) ).
fof(f1052,plain,
( sF94 = vabs(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK84(sF94,sK92,sK89))
| sF94 = vvar(sK82(sF94,sK92,sK89))
| spl96_15 ),
inference(forward_subsumption_resolution,[],[f1050,f1025]) ).
fof(f1053,plain,
( sF94 = vabs(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK84(sF94,sK92,sK89))
| spl96_15 ),
inference(forward_subsumption_resolution,[],[f1052,f487]) ).
fof(f1260,plain,
( sF94 != sF94
| veabs = sK84(sF94,sK92,sK89)
| spl96_15 ),
inference(superposition,[],[f540,f1053]) ).
fof(f1261,plain,
( sF94 != sF94
| sK91 = sK85(sF94,sK92,sK89)
| spl96_15 ),
inference(superposition,[],[f543,f1053]) ).
fof(f1262,plain,
( sF94 != sF94
| sK90 = sK83(sF94,sK92,sK89)
| spl96_15 ),
inference(superposition,[],[f546,f1053]) ).
fof(f1265,plain,
( sK90 = sK83(sF94,sK92,sK89)
| spl96_15 ),
inference(trivial_inequality_removal,[],[f1262]) ).
fof(f1266,plain,
( sK91 = sK85(sF94,sK92,sK89)
| spl96_15 ),
inference(trivial_inequality_removal,[],[f1261]) ).
fof(f1267,plain,
( veabs = sK84(sF94,sK92,sK89)
| spl96_15 ),
inference(trivial_inequality_removal,[],[f1260]) ).
fof(f1281,plain,
( vtcheck(vbind(sK90,sK85(sF94,sK92,sK89),sK89),sK84(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| sF94 = vvar(sK82(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89)
| ~ vtcheck(sK89,sF94,sK92)
| spl96_15 ),
inference(superposition,[],[f354,f1265]) ).
fof(f1282,plain,
( vtcheck(vbind(sK90,sK85(sF94,sK92,sK89),sK89),sK84(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89)
| ~ vtcheck(sK89,sF94,sK92)
| spl96_15 ),
inference(forward_subsumption_resolution,[],[f1281,f487]) ).
fof(f1285,plain,
( vtcheck(vbind(sK90,sK85(sF94,sK92,sK89),sK89),sK84(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| ~ vtcheck(sK89,sF94,sK92)
| spl96_15 ),
inference(forward_subsumption_resolution,[],[f1282,f1025]) ).
fof(f1288,plain,
( vtcheck(vbind(sK90,sK85(sF94,sK92,sK89),sK89),sK84(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| spl96_15 ),
inference(forward_subsumption_resolution,[],[f1285,f481]) ).
fof(f1290,plain,
( vtcheck(vbind(sK90,sK85(sF94,sK92,sK89),sK89),veabs,sK86(sF94,sK92,sK89))
| spl96_15 ),
inference(forward_demodulation,[],[f1288,f1267]) ).
fof(f1292,plain,
( vtcheck(vbind(sK90,sK91,sK89),veabs,sK86(sF94,sK92,sK89))
| spl96_15 ),
inference(forward_demodulation,[],[f1290,f1266]) ).
fof(f1298,definition,
( spl96_31
<=> vtcheck(vbind(sK90,sK91,sK89),veabs,sK86(sF94,sK92,sK89)) ),
introduced(definition,[new_symbols(definition,[spl96_31])],[avatar_definition]) ).
fof(f1300,plain,
( vtcheck(vbind(sK90,sK91,sK89),veabs,sK86(sF94,sK92,sK89))
| ~ spl96_31 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1302,plain,
( spl96_31
| spl96_15 ),
inference(avatar_split_clause,[],[f1292,f1024,f1298]) ).
fof(f1316,plain,
( sK92 = varrow(sK91,sK86(sF94,sK92,sK89))
| spl96_15
| ~ spl96_16 ),
inference(superposition,[],[f1030,f1266]) ).
fof(f1789,plain,
! [X2,X3,X0,X1] :
( vnoType != vnoType
| vtcheck(vbind(sK87,X0,vbind(X1,X2,sK89)),veabs,X3)
| ~ vtcheck(vbind(X1,X2,sK89),veabs,X3)
| sK87 = X1 ),
inference(superposition,[],[f697,f483]) ).
fof(f1795,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(sK87,X0,vbind(X1,X2,sK89)),veabs,X3)
| ~ vtcheck(vbind(X1,X2,sK89),veabs,X3)
| sK87 = X1 ),
inference(trivial_inequality_removal,[],[f1789]) ).
fof(f3513,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(vbind(X0,X1,sK89),veabs,X2)
| sK87 = X0
| sK87 = X0
| vtcheck(vbind(X0,X1,vbind(sK87,X3,sK89)),veabs,X2) ),
inference(resolution,[],[f1795,f260]) ).
fof(f3520,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,vbind(sK87,X3,sK89)),veabs,X2)
| sK87 = X0
| ~ vtcheck(vbind(X0,X1,sK89),veabs,X2) ),
inference(duplicate_literal_removal,[],[f3513]) ).
fof(f3531,plain,
! [X2,X0,X1] :
( ~ vtcheck(vbind(X0,X1,sK89),veabs,X2)
| sK87 = X0
| vtcheck(vbind(X0,X1,sF93),veabs,X2) ),
inference(superposition,[],[f3520,f474]) ).
fof(f3535,plain,
( sK87 = sK90
| vtcheck(vbind(sK90,sK91,sF93),veabs,sK86(sF94,sK92,sK89))
| ~ spl96_31 ),
inference(resolution,[],[f3531,f1300]) ).
fof(f3538,plain,
( vtcheck(vbind(sK90,sK91,sF93),veabs,sK86(sF94,sK92,sK89))
| ~ spl96_31 ),
inference(forward_subsumption_resolution,[],[f3535,f360]) ).
fof(f3598,plain,
( vtcheck(sF93,vabs(sK90,sK91,veabs),varrow(sK91,sK86(sF94,sK92,sK89)))
| ~ spl96_31 ),
inference(resolution,[],[f3538,f346]) ).
fof(f3627,plain,
( vtcheck(sF93,vabs(sK90,sK91,veabs),sK92)
| spl96_15
| ~ spl96_16
| ~ spl96_31 ),
inference(forward_demodulation,[],[f3598,f1316]) ).
fof(f3629,plain,
( vtcheck(sF93,sF94,sK92)
| spl96_15
| ~ spl96_16
| ~ spl96_31 ),
inference(forward_demodulation,[],[f3627,f476]) ).
fof(f3630,plain,
( $false
| spl96_15
| ~ spl96_16
| ~ spl96_31 ),
inference(forward_subsumption_resolution,[],[f3629,f477]) ).
fof(f3631,plain,
( spl96_15
| ~ spl96_16
| ~ spl96_31 ),
inference(avatar_contradiction_clause,[],[f3630]) ).
cnf(s8,plain,
( spl96_15
| spl96_16 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s10,plain,
~ spl96_15,
inference(sat_conversion,[],[f1047]) ).
cnf(s18,plain,
( spl96_15
| spl96_31 ),
inference(sat_conversion,[],[f1302]) ).
cnf(s106,plain,
( spl96_15
| ~ spl96_16
| ~ spl96_31 ),
inference(sat_conversion,[],[f3631]) ).
cnf(s113,plain,
spl96_31,
inference(rat,[],[s18,s10]) ).
cnf(s114,plain,
~ spl96_16,
inference(rat,[],[s106,s10,s113]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s8,s114,s10]) ).
fof(f3632,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM139+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:56:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.67/1.13 % (2402517)Will run a generic schedule for satisfiability detection.
% 5.67/1.13 % (2402538)% WARNING: option uhcvi not known.
% 5.67/1.13 % (2402538)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2504964226:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.67/1.13 % (2402540)dis+10_1_sil=32000:sp=arity:random_seed=2098439889:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.67/1.13 % (2402539)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3041081384:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.67/1.13 % (2402536)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2655853173_2999 on theBenchmark for (2999ds/0Mi)
% 5.67/1.13 % (2402542)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=716292607:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.67/1.13 % (2402544)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=570998476:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.67/1.13 % (2402541)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3936411468:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.67/1.13 % TRYING [1]
% 5.67/1.13 % TRYING [2]
% 5.67/1.13 % TRYING [3]
% 5.67/1.13 % (2402540)Instruction limit reached!
% 5.67/1.13 % (2402540)------------------------------
% 5.67/1.13 % (2402540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402540)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402540)Termination reason: Instruction limit
% 5.67/1.13 % (2402540)Termination phase: Saturation
% 5.67/1.13 % (2402540)Time elapsed: 0.064 s
% 5.67/1.13 % (2402540)Peak memory usage: 13 MB
% 5.67/1.13 % (2402540)Instructions burned: 104 (million)
% 5.67/1.13 % (2402541)Instruction limit reached!
% 5.67/1.13 % (2402541)------------------------------
% 5.67/1.13 % (2402541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402541)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402541)Termination reason: Instruction limit
% 5.67/1.13 % (2402541)Termination phase: Saturation
% 5.67/1.13 % (2402541)Time elapsed: 0.064 s
% 5.67/1.13 % (2402541)Peak memory usage: 13 MB
% 5.67/1.13 % (2402541)Instructions burned: 118 (million)
% 5.67/1.13 % (2402570)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=506932439:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.67/1.13 % (2402542)Instruction limit reached!
% 5.67/1.13 % (2402542)------------------------------
% 5.67/1.13 % (2402542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402542)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402542)Termination reason: Instruction limit
% 5.67/1.13 % (2402542)Termination phase: Saturation
% 5.67/1.13 % (2402542)Time elapsed: 0.081 s
% 5.67/1.13 % (2402542)Peak memory usage: 13 MB
% 5.67/1.13 % (2402542)Instructions burned: 132 (million)
% 5.67/1.13 % TRYING [1]
% 5.67/1.13 % (2402544)Instruction limit reached!
% 5.67/1.13 % (2402544)------------------------------
% 5.67/1.13 % (2402544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402544)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402544)Termination reason: Instruction limit
% 5.67/1.13 % (2402544)Termination phase: Saturation
% 5.67/1.13 % (2402544)Time elapsed: 0.093 s
% 5.67/1.13 % (2402544)Peak memory usage: 14 MB
% 5.67/1.13 % (2402544)Instructions burned: 159 (million)
% 5.67/1.13 % (2402574)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3856860942:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.67/1.13 % TRYING [2]
% 5.67/1.13 % (2402577)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=4211410992:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.67/1.13 % (2402581)ott-21_1_sil=16000:fs=off:random_seed=3219825529:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.67/1.13 % TRYING [3]
% 5.67/1.13 % (2402574)Instruction limit reached!
% 5.67/1.13 % (2402574)------------------------------
% 5.67/1.13 % (2402574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402574)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402574)Termination reason: Instruction limit
% 5.67/1.13 % (2402574)Termination phase: Saturation
% 5.67/1.13 % (2402574)Time elapsed: 0.113 s
% 5.67/1.13 % (2402574)Peak memory usage: 13 MB
% 5.67/1.13 % (2402574)Instructions burned: 131 (million)
% 5.67/1.13 % (2402607)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2498321551:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.67/1.13 % (2402581)Instruction limit reached!
% 5.67/1.13 % (2402581)------------------------------
% 5.67/1.13 % (2402581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402581)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402581)Termination reason: Instruction limit
% 5.67/1.13 % (2402581)Termination phase: Saturation
% 5.67/1.13 % (2402581)Time elapsed: 0.163 s
% 5.67/1.13 % (2402581)Peak memory usage: 12 MB
% 5.67/1.13 % (2402581)Instructions burned: 180 (million)
% 5.67/1.13 % (2402613)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3709736021:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.67/1.13 % TRYING [4]
% 5.67/1.13 % TRYING [1]
% 5.67/1.13 % TRYING [2]
% 5.67/1.13 % TRYING [3]
% 5.67/1.13 % (2402570)Instruction limit reached!
% 5.67/1.13 % (2402570)------------------------------
% 5.67/1.13 % (2402570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402570)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402570)Termination reason: Instruction limit
% 5.67/1.13 % (2402570)Termination phase: Finite model building SAT solving
% 5.67/1.13 % (2402570)Time elapsed: 0.481 s
% 5.67/1.13 % (2402570)Peak memory usage: 42 MB
% 5.67/1.13 % (2402570)Instructions burned: 714 (million)
% 5.67/1.13 % (2402623)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2261375305:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 5.67/1.13 % (2402607)Instruction limit reached!
% 5.67/1.13 % (2402607)------------------------------
% 5.67/1.13 % (2402607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402607)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402607)Termination reason: Instruction limit
% 5.67/1.13 % (2402607)Termination phase: Saturation
% 5.67/1.13 % (2402607)Time elapsed: 0.377 s
% 5.67/1.13 % (2402607)Peak memory usage: 14 MB
% 5.67/1.13 % (2402607)Instructions burned: 477 (million)
% 5.67/1.13 % (2402625)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3928417251:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 5.67/1.13 % (2402577)Instruction limit reached!
% 5.67/1.13 % (2402577)------------------------------
% 5.67/1.13 % (2402577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.13 % (2402577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.13 % (2402577)CaDiCaL version: 2.1.3
% 5.67/1.13 % (2402577)Termination reason: Instruction limit
% 5.67/1.13 % (2402577)Termination phase: Saturation
% 5.67/1.13 % (2402577)Time elapsed: 0.631 s
% 5.67/1.13 % (2402577)Peak memory usage: 18 MB
% 5.67/1.13 % (2402577)Instructions burned: 685 (million)
% 5.67/1.13 % (2402627)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1382719503:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 5.67/1.13 % (2402623) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2402517-2402623"...
% 5.67/1.13 % (2402623)...printing done.
% 5.67/1.13 % (2402623)Refutation found. Thanks to Tanya!
% 5.67/1.13 % SZS status Theorem for theBenchmark
% 5.67/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 5.67/1.14 % (2402623)------------------------------
% 5.67/1.14 % (2402623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.14 % (2402623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.14 % (2402623)CaDiCaL version: 2.1.3
% 5.67/1.14 % (2402623)Termination reason: Refutation
% 5.67/1.14 % (2402623)Time elapsed: 0.254 s
% 5.67/1.14 % (2402623)Peak memory usage: 15 MB
% 5.67/1.14 % (2402623)Instructions burned: 261 (million)
% 5.67/1.14 % (2402517)Success in time 0.905 s
% 5.67/1.14 % Vampire exiting
%------------------------------------------------------------------------------