%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM139+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:39:39 AM UTC 2026
% Result : Theorem 6.97s 1.84s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 118 ( 25 unt; 7 def)
% Number of atoms : 352 ( 169 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 361 ( 127 ~; 158 |; 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 : 311 ( 0 sgn 253 !; 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/theBenchmark.p','EQ-abs') ).
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-abs') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','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/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p','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/theBenchmark.p','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/theBenchmark.p','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/sandbox2/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/sandbox2/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(X0,vabs(X1,X3,X2),varrow(X3,X4))
| ~ vtcheck(vbind(X1,X3,X0),X2,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(f488,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(f496,plain,
! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| sK90 = X0 ),
inference(superposition,[],[f214,f476]) ).
fof(f498,plain,
! [X0,X1] :
( ~ vtcheck(vbind(sK90,sK91,X0),veabs,X1)
| vtcheck(X0,sF94,varrow(sK91,X1)) ),
inference(superposition,[],[f346,f476]) ).
fof(f500,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,[],[f488,f483]) ).
fof(f503,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,[],[f500]) ).
fof(f504,plain,
! [X0] : vvar(X0) != sF94,
inference(superposition,[],[f218,f476]) ).
fof(f505,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(f510,plain,
( sF94 = vabs(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK84(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89) ),
inference(forward_subsumption_resolution,[],[f505,f504]) ).
fof(f512,definition,
( spl96_1
<=> sP12(sF94,sK92,sK89) ),
introduced(definition,[new_symbols(definition,[spl96_1])],[avatar_definition]) ).
fof(f513,plain,
( ~ sP12(sF94,sK92,sK89)
| spl96_1 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f514,plain,
( sP12(sF94,sK92,sK89)
| ~ spl96_1 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f516,definition,
( spl96_2
<=> sF94 = vabs(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK84(sF94,sK92,sK89)) ),
introduced(definition,[new_symbols(definition,[spl96_2])],[avatar_definition]) ).
fof(f518,plain,
( sF94 = vabs(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK84(sF94,sK92,sK89))
| ~ spl96_2 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f519,plain,
( spl96_1
| spl96_2 ),
inference(avatar_split_clause,[],[f510,f516,f512]) ).
fof(f521,plain,
( ! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| sK84(sF94,sK92,sK89) = X2 )
| ~ spl96_2 ),
inference(superposition,[],[f212,f518]) ).
fof(f523,plain,
( ! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| sK85(sF94,sK92,sK89) = X1 )
| ~ spl96_2 ),
inference(superposition,[],[f213,f518]) ).
fof(f528,plain,
( sF94 != sF94
| sK90 = sK83(sF94,sK92,sK89)
| ~ spl96_2 ),
inference(superposition,[],[f496,f518]) ).
fof(f529,plain,
( sK90 = sK83(sF94,sK92,sK89)
| ~ spl96_2 ),
inference(trivial_inequality_removal,[],[f528]) ).
fof(f534,plain,
( sF94 != sF94
| sK91 = sK85(sF94,sK92,sK89)
| ~ spl96_2 ),
inference(superposition,[],[f523,f476]) ).
fof(f535,plain,
( sK91 = sK85(sF94,sK92,sK89)
| ~ spl96_2 ),
inference(trivial_inequality_removal,[],[f534]) ).
fof(f548,plain,
( sF94 != sF94
| veabs = sK84(sF94,sK92,sK89)
| ~ spl96_2 ),
inference(superposition,[],[f521,f476]) ).
fof(f549,plain,
( veabs = sK84(sF94,sK92,sK89)
| ~ spl96_2 ),
inference(trivial_inequality_removal,[],[f548]) ).
fof(f612,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(f619,plain,
( sK92 = varrow(sK85(sF94,sK92,sK89),sK86(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89) ),
inference(forward_subsumption_resolution,[],[f612,f504]) ).
fof(f620,plain,
( sK92 = varrow(sK91,sK86(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89)
| ~ spl96_2 ),
inference(forward_demodulation,[],[f619,f535]) ).
fof(f622,definition,
( spl96_3
<=> sK92 = varrow(sK91,sK86(sF94,sK92,sK89)) ),
introduced(definition,[new_symbols(definition,[spl96_3])],[avatar_definition]) ).
fof(f624,plain,
( sK92 = varrow(sK91,sK86(sF94,sK92,sK89))
| ~ spl96_3 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f625,plain,
( spl96_1
| spl96_3
| ~ spl96_2 ),
inference(avatar_split_clause,[],[f620,f516,f622,f512]) ).
fof(f626,plain,
( sF94 = vapp(sK79(sF94,sK92,sK89),sK80(sF94,sK92,sK89))
| ~ spl96_1 ),
inference(resolution,[],[f514,f350]) ).
fof(f635,plain,
( ! [X2,X0,X1] : vabs(X0,X1,X2) != sF94
| ~ spl96_1 ),
inference(superposition,[],[f220,f626]) ).
fof(f636,plain,
( sF94 != sF94
| ~ spl96_1 ),
inference(superposition,[],[f635,f476]) ).
fof(f646,plain,
( $false
| ~ spl96_1 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f647,plain,
~ spl96_1,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f674,plain,
( vtcheck(vbind(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK89),veabs,sK86(sF94,sK92,sK89))
| sF94 = vvar(sK82(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89)
| ~ vtcheck(sK89,sF94,sK92)
| ~ spl96_2 ),
inference(superposition,[],[f354,f549]) ).
fof(f675,plain,
( vtcheck(vbind(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK89),veabs,sK86(sF94,sK92,sK89))
| sP12(sF94,sK92,sK89)
| ~ vtcheck(sK89,sF94,sK92)
| ~ spl96_2 ),
inference(forward_subsumption_resolution,[],[f674,f504]) ).
fof(f678,plain,
( vtcheck(vbind(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK89),veabs,sK86(sF94,sK92,sK89))
| ~ vtcheck(sK89,sF94,sK92)
| spl96_1
| ~ spl96_2 ),
inference(forward_subsumption_resolution,[],[f675,f513]) ).
fof(f681,plain,
( vtcheck(vbind(sK83(sF94,sK92,sK89),sK85(sF94,sK92,sK89),sK89),veabs,sK86(sF94,sK92,sK89))
| spl96_1
| ~ spl96_2 ),
inference(forward_subsumption_resolution,[],[f678,f481]) ).
fof(f684,plain,
( vtcheck(vbind(sK83(sF94,sK92,sK89),sK91,sK89),veabs,sK86(sF94,sK92,sK89))
| spl96_1
| ~ spl96_2 ),
inference(forward_demodulation,[],[f681,f535]) ).
fof(f687,plain,
( vtcheck(vbind(sK90,sK91,sK89),veabs,sK86(sF94,sK92,sK89))
| spl96_1
| ~ spl96_2 ),
inference(forward_demodulation,[],[f684,f529]) ).
fof(f1045,plain,
! [X2,X3,X0,X1] :
( sK87 = X0
| vtcheck(vbind(X0,X1,vbind(sK87,X2,sK89)),veabs,X3)
| ~ vtcheck(vbind(X0,X1,sK89),veabs,X3)
| sK87 = X0 ),
inference(resolution,[],[f260,f503]) ).
fof(f1053,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,vbind(sK87,X2,sK89)),veabs,X3)
| sK87 = X0
| ~ vtcheck(vbind(X0,X1,sK89),veabs,X3) ),
inference(duplicate_literal_removal,[],[f1045]) ).
fof(f1058,plain,
! [X0,X1] :
( sK87 = sK90
| ~ vtcheck(vbind(sK90,sK91,sK89),veabs,X0)
| vtcheck(vbind(sK87,X1,sK89),sF94,varrow(sK91,X0)) ),
inference(resolution,[],[f1053,f498]) ).
fof(f1072,plain,
! [X0,X1] :
( vtcheck(vbind(sK87,X1,sK89),sF94,varrow(sK91,X0))
| ~ vtcheck(vbind(sK90,sK91,sK89),veabs,X0) ),
inference(forward_subsumption_resolution,[],[f1058,f360]) ).
fof(f1079,plain,
( ! [X0] :
( vtcheck(vbind(sK87,X0,sK89),sF94,sK92)
| ~ vtcheck(vbind(sK90,sK91,sK89),veabs,sK86(sF94,sK92,sK89)) )
| ~ spl96_3 ),
inference(superposition,[],[f1072,f624]) ).
fof(f1080,plain,
( ! [X0] : vtcheck(vbind(sK87,X0,sK89),sF94,sK92)
| spl96_1
| ~ spl96_2
| ~ spl96_3 ),
inference(forward_subsumption_resolution,[],[f1079,f687]) ).
fof(f1087,plain,
( vtcheck(sF93,sF94,sK92)
| spl96_1
| ~ spl96_2
| ~ spl96_3 ),
inference(superposition,[],[f1080,f474]) ).
fof(f1088,plain,
( $false
| spl96_1
| ~ spl96_2
| ~ spl96_3 ),
inference(forward_subsumption_resolution,[],[f1087,f477]) ).
fof(f1089,plain,
( spl96_1
| ~ spl96_2
| ~ spl96_3 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
cnf(s1,plain,
( spl96_1
| spl96_2 ),
inference(sat_conversion,[],[f519]) ).
cnf(s2,plain,
( spl96_1
| ~ spl96_2
| spl96_3 ),
inference(sat_conversion,[],[f625]) ).
cnf(s6,plain,
~ spl96_1,
inference(sat_conversion,[],[f647]) ).
cnf(s34,plain,
( spl96_1
| ~ spl96_2
| ~ spl96_3 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s38,plain,
( ~ spl96_2
| spl96_3 ),
inference(rat,[],[s2,s6]) ).
cnf(s39,plain,
spl96_2,
inference(rat,[],[s1,s6]) ).
cnf(s40,plain,
~ spl96_3,
inference(rat,[],[s34,s6,s39]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s38,s40,s39]) ).
fof(f1092,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:00:33 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.97/1.84 % (4076594)Detected formulas, will run a generic FOF schedule.
% 6.97/1.84 % (4076603)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=392152442:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.97/1.84 % (4076603)Instruction limit reached!
% 6.97/1.84 % (4076603)------------------------------
% 6.97/1.84 % (4076603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076603)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076603)Termination reason: Instruction limit
% 6.97/1.84 % (4076603)Termination phase: Saturation
% 6.97/1.84 % (4076603)Time elapsed: 0.035 s
% 6.97/1.84 % (4076603)Peak memory usage: 89 MB
% 6.97/1.84 % (4076603)Instructions burned: 121 (million)
% 6.97/1.84 % (4076604)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2568121680:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.97/1.84 % (4076601)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2731785652:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.97/1.84 % (4076602)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3498347937:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.97/1.84 % (4076600)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4219714663:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.97/1.84 % (4076599)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2863920580:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.97/1.84 % (4076605)dis-21_1_sil=8000:lcm=predicate:random_seed=1322867283:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.97/1.84 % (4076602)Refutation not found, incomplete strategy
% 6.97/1.84 % (4076602)------------------------------
% 6.97/1.84 % (4076602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076602)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076602)Termination reason: Refutation not found, incomplete strategy
% 6.97/1.84 % (4076602)Time elapsed: 0.003 s
% 6.97/1.84 % (4076602)Peak memory usage: 88 MB
% 6.97/1.84 % (4076602)Instructions burned: 2 (million)
% 6.97/1.84 % (4076605)Instruction limit reached!
% 6.97/1.84 % (4076605)------------------------------
% 6.97/1.84 % (4076605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076605)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076605)Termination reason: Instruction limit
% 6.97/1.84 % (4076605)Termination phase: Saturation
% 6.97/1.84 % (4076605)Time elapsed: 0.074 s
% 6.97/1.84 % (4076605)Peak memory usage: 89 MB
% 6.97/1.84 % (4076605)Instructions burned: 131 (million)
% 6.97/1.84 % (4076604)Instruction limit reached!
% 6.97/1.84 % (4076604)------------------------------
% 6.97/1.84 % (4076604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076604)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076604)Termination reason: Instruction limit
% 6.97/1.84 % (4076604)Termination phase: Saturation
% 6.97/1.84 % (4076604)Time elapsed: 0.089 s
% 6.97/1.84 % (4076604)Peak memory usage: 90 MB
% 6.97/1.84 % (4076604)Instructions burned: 139 (million)
% 6.97/1.84 % (4076607)lrs+10_1_sil=8000:sp=occurrence:random_seed=1535475228:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.97/1.84 % (4076607)Instruction limit reached!
% 6.97/1.84 % (4076607)------------------------------
% 6.97/1.84 % (4076607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076607)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076607)Termination reason: Instruction limit
% 6.97/1.84 % (4076607)Termination phase: Saturation
% 6.97/1.84 % (4076607)Time elapsed: 0.088 s
% 6.97/1.84 % (4076607)Peak memory usage: 90 MB
% 6.97/1.84 % (4076607)Instructions burned: 285 (million)
% 6.97/1.84 % (4076614)lrs+10_1_sil=32000:urr=on:br=off:random_seed=280644242:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.97/1.84 % (4076602)------------------------------
% 6.97/1.84 % (4076602)------------------------------
% 6.97/1.84 % (4076615)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4196486671:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.97/1.84 % (4076617)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1567602044:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.97/1.84 % (4076614)Instruction limit reached!
% 6.97/1.84 % (4076614)------------------------------
% 6.97/1.84 % (4076614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076614)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076614)Termination reason: Instruction limit
% 6.97/1.84 % (4076614)Termination phase: Saturation
% 6.97/1.84 % (4076614)Time elapsed: 0.099 s
% 6.97/1.84 % (4076614)Peak memory usage: 90 MB
% 6.97/1.84 % (4076614)Instructions burned: 158 (million)
% 6.97/1.84 % (4076617)Instruction limit reached!
% 6.97/1.84 % (4076617)------------------------------
% 6.97/1.84 % (4076617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076617)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076617)Termination reason: Instruction limit
% 6.97/1.84 % (4076617)Termination phase: Saturation
% 6.97/1.84 % (4076617)Time elapsed: 0.061 s
% 6.97/1.84 % (4076617)Peak memory usage: 91 MB
% 6.97/1.84 % (4076617)Instructions burned: 251 (million)
% 6.97/1.84 % (4076620)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1844423204:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.97/1.84 % (4076615)Instruction limit reached!
% 6.97/1.84 % (4076615)------------------------------
% 6.97/1.84 % (4076615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076615)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076615)Termination reason: Instruction limit
% 6.97/1.84 % (4076615)Termination phase: Saturation
% 6.97/1.84 % (4076615)Time elapsed: 0.161 s
% 6.97/1.84 % (4076615)Peak memory usage: 90 MB
% 6.97/1.84 % (4076615)Instructions burned: 326 (million)
% 6.97/1.84 % (4076620)Refutation not found, incomplete strategy
% 6.97/1.84 % (4076620)------------------------------
% 6.97/1.84 % (4076620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076620)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076620)Termination reason: Refutation not found, incomplete strategy
% 6.97/1.84 % (4076620)Time elapsed: 0.007 s
% 6.97/1.84 % (4076620)Peak memory usage: 89 MB
% 6.97/1.84 % (4076620)Instructions burned: 10 (million)
% 6.97/1.84 % (4076622)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=266103819:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.97/1.84 % (4076623)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2916177760:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.97/1.84 % (4076623)Instruction limit reached!
% 6.97/1.84 % (4076623)------------------------------
% 6.97/1.84 % (4076623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076623)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076623)Termination reason: Instruction limit
% 6.97/1.84 % (4076623)Termination phase: Saturation
% 6.97/1.84 % (4076623)Time elapsed: 0.037 s
% 6.97/1.84 % (4076623)Peak memory usage: 88 MB
% 6.97/1.84 % (4076623)Instructions burned: 116 (million)
% 6.97/1.84 % (4076625)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2502444999:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.97/1.84 % (4076625)Instruction limit reached!
% 6.97/1.84 % (4076625)------------------------------
% 6.97/1.84 % (4076625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076625)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076625)Termination reason: Instruction limit
% 6.97/1.84 % (4076625)Termination phase: Saturation
% 6.97/1.84 % (4076625)Time elapsed: 0.064 s
% 6.97/1.84 % (4076625)Peak memory usage: 88 MB
% 6.97/1.84 % (4076625)Instructions burned: 129 (million)
% 6.97/1.84 % (4076620)------------------------------
% 6.97/1.84 % (4076620)------------------------------
% 6.97/1.84 % (4076628)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2580458174:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.97/1.84 % (4076628)Instruction limit reached!
% 6.97/1.84 % (4076628)------------------------------
% 6.97/1.84 % (4076628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076628)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076628)Termination reason: Instruction limit
% 6.97/1.84 % (4076628)Termination phase: Saturation
% 6.97/1.84 % (4076628)Time elapsed: 0.027 s
% 6.97/1.84 % (4076628)Peak memory usage: 88 MB
% 6.97/1.84 % (4076628)Instructions burned: 118 (million)
% 6.97/1.84 % (4076599)First to succeed.
% 6.97/1.84 % (4076599)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4076594"
% 6.97/1.84 % (4076630)lrs+10_1_sil=8000:sp=occurrence:random_seed=676194467:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.97/1.84 % (4076600)Also succeeded, but the first one will report.
% 6.97/1.84 % (4076633)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2273936511:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.97/1.84 % (4076632)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=216068297:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.97/1.84 % (4076632)Refutation not found, incomplete strategy
% 6.97/1.84 % (4076632)------------------------------
% 6.97/1.84 % (4076632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.84 % (4076632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.84 % (4076632)CaDiCaL version: 2.1.3
% 6.97/1.84 % (4076632)Termination reason: Refutation not found, incomplete strategy
% 6.97/1.84 % (4076632)Time elapsed: 0.002 s
% 6.97/1.84 % (4076632)Peak memory usage: 88 MB
% 6.97/1.84 % (4076632)Instructions burned: 1 (million)
% 6.97/1.84 % (4076599)Refutation found. Thanks to Tanya!
% 6.97/1.84 % SZS status Theorem for theBenchmark
% 6.97/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.03 % (4076599)------------------------------
% 0.20/2.03 % (4076599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.03 % (4076599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.03 % (4076599)CaDiCaL version: 2.1.3
% 0.20/2.03 % (4076599)Termination reason: Refutation
% 0.20/2.03 % (4076599)Time elapsed: 0.736 s
% 0.20/2.03 % (4076599)Peak memory usage: 130 MB
% 0.20/2.03 % (4076599)Instructions burned: 1099 (million)
% 0.20/2.03 % (4076599)------------------------------
% 0.20/2.03 % (4076599)------------------------------
% 0.20/2.03 % (4076594)Success in time 1.175 s
% 0.20/2.03 % Vampire exiting
%------------------------------------------------------------------------------