%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM131+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:39:38 AM UTC 2026
% Result : Theorem 7.50s 1.85s
% Output : Refutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 127 ( 25 unt; 7 def)
% Number of atoms : 412 ( 168 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 442 ( 157 ~; 200 |; 69 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 11 con; 0-3 aty)
% Number of variables : 352 ( 0 sgn 292 !; 60 ?)
% 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/theBenchmark.p','EQ-abs') ).
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-abs') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-abs-app') ).
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/theBenchmark.p','T-Context-Swap') ).
fof(f34,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( X0 = X6
& X1 = X7
& X2 = vabs(X4,X5,X8) )
=> ( ( X6 != X4
& ~ visFreeVar(X4,X7) )
=> ( X3 = vsubst(X0,X1,X2)
=> X3 = vabs(X4,X5,vsubst(X6,X7,X8)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subst5) ).
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/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/sandbox/benchmark/theBenchmark.p','T-inv') ).
fof(f57,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,X3)
& vtcheck(X2,X3,X4) )
=> vtcheck(vbind(X0,X1,X2),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar') ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),veabs,X4) )
=> vtcheck(X1,vsubst(X2,X3,veabs),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-IH-abs') ).
fof(f60,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 != X4
& ~ visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-2') ).
fof(f61,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 != X4
& ~ visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f68,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(f70,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(f71,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,[],[f70]) ).
fof(f100,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(f101,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,[],[f100]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( X3 = vabs(X4,X5,vsubst(X6,X7,X8))
| vsubst(X0,X1,X2) != X3
| X4 = X6
| visFreeVar(X4,X7)
| X0 != X6
| X1 != X7
| vabs(X4,X5,X8) != X2 ),
inference(ennf_transformation,[],[f34]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( X3 = vabs(X4,X5,vsubst(X6,X7,X8))
| vsubst(X0,X1,X2) != X3
| X4 = X6
| visFreeVar(X4,X7)
| X0 != X6
| X1 != X7
| vabs(X4,X5,X8) != X2 ),
inference(flattening,[],[f113]) ).
fof(f141,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(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(ennf_transformation,[],[f68]) ).
fof(f145,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,[],[f144]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| ~ vtcheck(X2,X3,X4) ),
inference(ennf_transformation,[],[f57]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| ~ vtcheck(X2,X3,X4) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,veabs),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),veabs,X4) ),
inference(ennf_transformation,[],[f58]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,veabs),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),veabs,X4) ),
inference(flattening,[],[f152]) ).
fof(f156,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
& X2 != X4
& ~ visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) ),
inference(ennf_transformation,[],[f61]) ).
fof(f157,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
& X2 != X4
& ~ visFreeVar(X4,X3)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) ),
inference(flattening,[],[f156]) ).
fof(f173,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(f174,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,[],[f145,f173]) ).
fof(f216,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,[],[f173]) ).
fof(f217,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,[],[f216]) ).
fof(f218,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))],[f217]) ).
fof(f219,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))],[f174]) ).
fof(f220,plain,
( ~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93)
& sK89 != sK91
& ~ visFreeVar(sK91,sK90)
& vtcheck(sK88,sK90,sK87)
& vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92,sK93]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92),skolemize(X6,sK93)],[f157]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f71]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f71]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X0,X1,X2) != vabs(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f71]) ).
fof(f230,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
fof(f272,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,[],[f101]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( vabs(X4,X5,vsubst(X6,X7,X8)) = X3
| vsubst(X0,X1,X2) != X3
| X4 = X6
| visFreeVar(X4,X7)
| X0 != X6
| X1 != X7
| vabs(X4,X5,X8) != X2 ),
inference(cnf_transformation,[],[f114]) ).
fof(f358,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,[],[f141]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f218]) ).
fof(f366,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,[],[f219]) ).
fof(f367,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,[],[f219]) ).
fof(f368,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,[],[f219]) ).
fof(f371,plain,
! [X2,X3,X0,X1,X4] :
( vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| ~ vtcheck(X2,X3,X4) ),
inference(cnf_transformation,[],[f151]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X2,X0,X1),veabs,X4)
| ~ vtcheck(X1,X3,X0)
| vtcheck(X1,vsubst(X2,X3,veabs),X4) ),
inference(cnf_transformation,[],[f153]) ).
fof(f374,plain,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93),
inference(cnf_transformation,[],[f220]) ).
fof(f375,plain,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f220]) ).
fof(f376,plain,
~ visFreeVar(sK91,sK90),
inference(cnf_transformation,[],[f220]) ).
fof(f377,plain,
sK89 != sK91,
inference(cnf_transformation,[],[f220]) ).
fof(f378,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93),
inference(cnf_transformation,[],[f220]) ).
fof(f452,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( vsubst(X0,X1,X2) = vabs(X4,X5,vsubst(X6,X7,X8))
| X4 = X6
| visFreeVar(X4,X7)
| X0 != X6
| X1 != X7
| vabs(X4,X5,X8) != X2 ),
inference(equality_resolution,[],[f279]) ).
fof(f453,plain,
! [X2,X1,X8,X6,X7,X4,X5] :
( vabs(X4,X5,vsubst(X6,X7,X8)) = vsubst(X6,X1,X2)
| X4 = X6
| visFreeVar(X4,X7)
| X1 != X7
| vabs(X4,X5,X8) != X2 ),
inference(equality_resolution,[],[f452]) ).
fof(f454,plain,
! [X2,X8,X6,X7,X4,X5] :
( vabs(X4,X5,vsubst(X6,X7,X8)) = vsubst(X6,X7,X2)
| X4 = X6
| visFreeVar(X4,X7)
| vabs(X4,X5,X8) != X2 ),
inference(equality_resolution,[],[f453]) ).
fof(f455,plain,
! [X8,X6,X7,X4,X5] :
( visFreeVar(X4,X7)
| X4 = X6
| vabs(X4,X5,vsubst(X6,X7,X8)) = vsubst(X6,X7,vabs(X4,X5,X8)) ),
inference(equality_resolution,[],[f454]) ).
fof(f491,definition,
sF94 = vabs(sK91,sK92,veabs),
introduced(definition,[new_symbols(definition,[sF94])],[function_definition]) ).
fof(f492,plain,
vabs(sK91,sK92,veabs) = sF94,
inference(reorient_equations,[],[f491]) ).
fof(f493,definition,
sF95 = vsubst(sK89,sK90,sF94),
introduced(definition,[new_symbols(definition,[sF95])],[function_definition]) ).
fof(f494,plain,
vsubst(sK89,sK90,sF94) = sF95,
inference(reorient_equations,[],[f493]) ).
fof(f495,plain,
~ vtcheck(sK88,sF95,sK93),
inference(definition_folding,[],[f378,f494,f492]) ).
fof(f496,definition,
sF96 = vbind(sK89,sK87,sK88),
introduced(definition,[new_symbols(definition,[sF96])],[function_definition]) ).
fof(f497,plain,
vbind(sK89,sK87,sK88) = sF96,
inference(reorient_equations,[],[f496]) ).
fof(f498,plain,
vtcheck(sF96,sF94,sK93),
inference(definition_folding,[],[f374,f492,f497]) ).
fof(f595,plain,
! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| veabs = X2 ),
inference(superposition,[],[f224,f492]) ).
fof(f598,plain,
! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| sK92 = X1 ),
inference(superposition,[],[f225,f492]) ).
fof(f601,plain,
! [X2,X0,X1] :
( vabs(X0,X1,X2) != sF94
| sK91 = X0 ),
inference(superposition,[],[f226,f492]) ).
fof(f620,plain,
! [X2,X0,X1] :
( vabs(sK91,X1,vsubst(X0,sK90,X2)) = vsubst(X0,sK90,vabs(sK91,X1,X2))
| sK91 = X0 ),
inference(resolution,[],[f455,f376]) ).
fof(f640,plain,
( sF94 = vabs(sK83(sF94,sK93,sF96),sK85(sF94,sK93,sF96),sK84(sF94,sK93,sF96))
| sP12(sF94,sK93,sF96)
| sF94 = vvar(sK82(sF94,sK93,sF96)) ),
inference(resolution,[],[f368,f498]) ).
fof(f661,definition,
( spl97_19
<=> sF94 = vvar(sK82(sF94,sK93,sF96)) ),
introduced(definition,[new_symbols(definition,[spl97_19])],[avatar_definition]) ).
fof(f663,plain,
( sF94 = vvar(sK82(sF94,sK93,sF96))
| ~ spl97_19 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f665,definition,
( spl97_20
<=> sP12(sF94,sK93,sF96) ),
introduced(definition,[new_symbols(definition,[spl97_20])],[avatar_definition]) ).
fof(f666,plain,
( ~ sP12(sF94,sK93,sF96)
| spl97_20 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f667,plain,
( sP12(sF94,sK93,sF96)
| ~ spl97_20 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f669,definition,
( spl97_21
<=> sF94 = vabs(sK83(sF94,sK93,sF96),sK85(sF94,sK93,sF96),sK84(sF94,sK93,sF96)) ),
introduced(definition,[new_symbols(definition,[spl97_21])],[avatar_definition]) ).
fof(f671,plain,
( sF94 = vabs(sK83(sF94,sK93,sF96),sK85(sF94,sK93,sF96),sK84(sF94,sK93,sF96))
| ~ spl97_21 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f672,plain,
( spl97_19
| spl97_20
| spl97_21 ),
inference(avatar_split_clause,[],[f640,f669,f665,f661]) ).
fof(f745,plain,
! [X0] : vvar(X0) != sF94,
inference(superposition,[],[f230,f492]) ).
fof(f757,plain,
( sF94 != sF94
| ~ spl97_19 ),
inference(superposition,[],[f745,f663]) ).
fof(f758,plain,
( $false
| ~ spl97_19 ),
inference(trivial_inequality_removal,[],[f757]) ).
fof(f759,plain,
~ spl97_19,
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f760,plain,
( sF94 = vapp(sK79(sF94,sK93,sF96),sK80(sF94,sK93,sF96))
| ~ spl97_20 ),
inference(resolution,[],[f667,f362]) ).
fof(f775,plain,
( sK93 = varrow(sK85(sF94,sK93,sF96),sK86(sF94,sK93,sF96))
| sP12(sF94,sK93,sF96)
| sF94 = vvar(sK82(sF94,sK93,sF96)) ),
inference(resolution,[],[f367,f498]) ).
fof(f855,plain,
( ! [X2,X0,X1] : vabs(X0,X1,X2) != sF94
| ~ spl97_20 ),
inference(superposition,[],[f232,f760]) ).
fof(f857,plain,
( sF94 != sF94
| ~ spl97_20 ),
inference(superposition,[],[f855,f492]) ).
fof(f859,plain,
( $false
| ~ spl97_20 ),
inference(trivial_inequality_removal,[],[f857]) ).
fof(f860,plain,
~ spl97_20,
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f861,plain,
( sK93 = varrow(sK85(sF94,sK93,sF96),sK86(sF94,sK93,sF96))
| sF94 = vvar(sK82(sF94,sK93,sF96))
| spl97_20 ),
inference(forward_subsumption_resolution,[],[f775,f666]) ).
fof(f863,plain,
( sK93 = varrow(sK85(sF94,sK93,sF96),sK86(sF94,sK93,sF96))
| spl97_20 ),
inference(forward_subsumption_resolution,[],[f861,f745]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( ~ vtcheck(vbind(X1,sK85(sF94,sK93,sF96),X0),X2,sK86(sF94,sK93,sF96))
| vtcheck(X0,vabs(X1,sK85(sF94,sK93,sF96),X2),sK93) )
| spl97_20 ),
inference(superposition,[],[f358,f863]) ).
fof(f883,plain,
( sF94 != sF94
| veabs = sK84(sF94,sK93,sF96)
| ~ spl97_21 ),
inference(superposition,[],[f595,f671]) ).
fof(f884,plain,
( sF94 != sF94
| sK92 = sK85(sF94,sK93,sF96)
| ~ spl97_21 ),
inference(superposition,[],[f598,f671]) ).
fof(f885,plain,
( sF94 != sF94
| sK91 = sK83(sF94,sK93,sF96)
| ~ spl97_21 ),
inference(superposition,[],[f601,f671]) ).
fof(f887,plain,
( sK91 = sK83(sF94,sK93,sF96)
| ~ spl97_21 ),
inference(trivial_inequality_removal,[],[f885]) ).
fof(f888,plain,
( sK92 = sK85(sF94,sK93,sF96)
| ~ spl97_21 ),
inference(trivial_inequality_removal,[],[f884]) ).
fof(f889,plain,
( veabs = sK84(sF94,sK93,sF96)
| ~ spl97_21 ),
inference(trivial_inequality_removal,[],[f883]) ).
fof(f908,plain,
( vtcheck(vbind(sK91,sK85(sF94,sK93,sF96),sF96),sK84(sF94,sK93,sF96),sK86(sF94,sK93,sF96))
| sF94 = vvar(sK82(sF94,sK93,sF96))
| sP12(sF94,sK93,sF96)
| ~ vtcheck(sF96,sF94,sK93)
| ~ spl97_21 ),
inference(superposition,[],[f366,f887]) ).
fof(f909,plain,
( vtcheck(vbind(sK91,sK85(sF94,sK93,sF96),sF96),sK84(sF94,sK93,sF96),sK86(sF94,sK93,sF96))
| sP12(sF94,sK93,sF96)
| ~ vtcheck(sF96,sF94,sK93)
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f908,f745]) ).
fof(f911,plain,
( vtcheck(vbind(sK91,sK85(sF94,sK93,sF96),sF96),sK84(sF94,sK93,sF96),sK86(sF94,sK93,sF96))
| ~ vtcheck(sF96,sF94,sK93)
| spl97_20
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f909,f666]) ).
fof(f913,plain,
( vtcheck(vbind(sK91,sK85(sF94,sK93,sF96),sF96),sK84(sF94,sK93,sF96),sK86(sF94,sK93,sF96))
| spl97_20
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f911,f498]) ).
fof(f914,plain,
( vtcheck(vbind(sK91,sK85(sF94,sK93,sF96),sF96),veabs,sK86(sF94,sK93,sF96))
| spl97_20
| ~ spl97_21 ),
inference(forward_demodulation,[],[f913,f889]) ).
fof(f915,plain,
( vtcheck(vbind(sK91,sK92,sF96),veabs,sK86(sF94,sK93,sF96))
| spl97_20
| ~ spl97_21 ),
inference(forward_demodulation,[],[f914,f888]) ).
fof(f1288,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(sK89,sK87,vbind(X0,X1,sK88)),X2,X3)
| sK89 = X0
| ~ vtcheck(vbind(X0,X1,sF96),X2,X3) ),
inference(superposition,[],[f272,f497]) ).
fof(f1303,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,sK88),vsubst(sK89,X3,veabs),X2)
| ~ vtcheck(vbind(X0,X1,sF96),veabs,X2)
| ~ vtcheck(vbind(X0,X1,sK88),X3,sK87)
| sK89 = X0 ),
inference(resolution,[],[f1288,f372]) ).
fof(f1317,plain,
( ! [X0,X1] :
( ~ vtcheck(vbind(X0,sK85(sF94,sK93,sF96),sF96),veabs,sK86(sF94,sK93,sF96))
| ~ vtcheck(vbind(X0,sK85(sF94,sK93,sF96),sK88),X1,sK87)
| sK89 = X0
| vtcheck(sK88,vabs(X0,sK85(sF94,sK93,sF96),vsubst(sK89,X1,veabs)),sK93) )
| spl97_20 ),
inference(resolution,[],[f1303,f867]) ).
fof(f1324,plain,
( ! [X0,X1] :
( ~ vtcheck(vbind(X0,sK92,sF96),veabs,sK86(sF94,sK93,sF96))
| ~ vtcheck(vbind(X0,sK85(sF94,sK93,sF96),sK88),X1,sK87)
| sK89 = X0
| vtcheck(sK88,vabs(X0,sK85(sF94,sK93,sF96),vsubst(sK89,X1,veabs)),sK93) )
| spl97_20
| ~ spl97_21 ),
inference(forward_demodulation,[],[f1317,f888]) ).
fof(f1325,plain,
( ! [X0,X1] :
( ~ vtcheck(vbind(X0,sK92,sK88),X1,sK87)
| ~ vtcheck(vbind(X0,sK92,sF96),veabs,sK86(sF94,sK93,sF96))
| sK89 = X0
| vtcheck(sK88,vabs(X0,sK85(sF94,sK93,sF96),vsubst(sK89,X1,veabs)),sK93) )
| spl97_20
| ~ spl97_21 ),
inference(forward_demodulation,[],[f1324,f888]) ).
fof(f1326,plain,
( ! [X0,X1] :
( ~ vtcheck(vbind(X0,sK92,sF96),veabs,sK86(sF94,sK93,sF96))
| ~ vtcheck(vbind(X0,sK92,sK88),X1,sK87)
| vtcheck(sK88,vabs(X0,sK92,vsubst(sK89,X1,veabs)),sK93)
| sK89 = X0 )
| spl97_20
| ~ spl97_21 ),
inference(forward_demodulation,[],[f1325,f888]) ).
fof(f1332,plain,
( ! [X0] :
( ~ vtcheck(vbind(sK91,sK92,sK88),X0,sK87)
| vtcheck(sK88,vabs(sK91,sK92,vsubst(sK89,X0,veabs)),sK93)
| sK89 = sK91 )
| spl97_20
| ~ spl97_21 ),
inference(resolution,[],[f1326,f915]) ).
fof(f1334,plain,
( ! [X0] :
( vtcheck(sK88,vabs(sK91,sK92,vsubst(sK89,X0,veabs)),sK93)
| ~ vtcheck(vbind(sK91,sK92,sK88),X0,sK87) )
| spl97_20
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f1332,f377]) ).
fof(f1340,plain,
( vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93)
| ~ vtcheck(vbind(sK91,sK92,sK88),sK90,sK87)
| sK89 = sK91
| spl97_20
| ~ spl97_21 ),
inference(superposition,[],[f1334,f620]) ).
fof(f1341,plain,
( vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93)
| ~ vtcheck(vbind(sK91,sK92,sK88),sK90,sK87)
| spl97_20
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f1340,f377]) ).
fof(f1344,plain,
( vtcheck(sK88,vsubst(sK89,sK90,sF94),sK93)
| ~ vtcheck(vbind(sK91,sK92,sK88),sK90,sK87)
| spl97_20
| ~ spl97_21 ),
inference(forward_demodulation,[],[f1341,f492]) ).
fof(f1345,plain,
( vtcheck(sK88,sF95,sK93)
| ~ vtcheck(vbind(sK91,sK92,sK88),sK90,sK87)
| spl97_20
| ~ spl97_21 ),
inference(forward_demodulation,[],[f1344,f494]) ).
fof(f1346,plain,
( ~ vtcheck(vbind(sK91,sK92,sK88),sK90,sK87)
| spl97_20
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f1345,f495]) ).
fof(f1347,plain,
( visFreeVar(sK91,sK90)
| ~ vtcheck(sK88,sK90,sK87)
| spl97_20
| ~ spl97_21 ),
inference(resolution,[],[f1346,f371]) ).
fof(f1348,plain,
( ~ vtcheck(sK88,sK90,sK87)
| spl97_20
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f1347,f376]) ).
fof(f1349,plain,
( $false
| spl97_20
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f1348,f375]) ).
fof(f1350,plain,
( spl97_20
| ~ spl97_21 ),
inference(avatar_contradiction_clause,[],[f1349]) ).
cnf(s12,plain,
( spl97_19
| spl97_20
| spl97_21 ),
inference(sat_conversion,[],[f672]) ).
cnf(s19,plain,
~ spl97_19,
inference(sat_conversion,[],[f759]) ).
cnf(s21,plain,
~ spl97_20,
inference(sat_conversion,[],[f860]) ).
cnf(s37,plain,
( spl97_20
| ~ spl97_21 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s39,plain,
~ spl97_21,
inference(rat,[],[s37,s21]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s12,s39,s21,s19]) ).
fof(f1351,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM131+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n014.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 21:55:16 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running first-order theorem proving
% 0.11/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.50/1.85 % (2222863)Detected formulas, will run a generic FOF schedule.
% 7.50/1.85 % (2222872)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3971471563:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.50/1.85 % (2222872)Instruction limit reached!
% 7.50/1.85 % (2222872)------------------------------
% 7.50/1.85 % (2222872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222872)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222872)Termination reason: Instruction limit
% 7.50/1.85 % (2222872)Termination phase: Saturation
% 7.50/1.85 % (2222872)Time elapsed: 0.040 s
% 7.50/1.85 % (2222872)Peak memory usage: 88 MB
% 7.50/1.85 % (2222872)Instructions burned: 122 (million)
% 7.50/1.85 % (2222873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2457069815:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.50/1.85 % (2222871)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2656678560:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.50/1.85 % (2222869)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=71704260:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.50/1.85 % (2222868)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=2089064629:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.50/1.85 % (2222874)dis-21_1_sil=8000:lcm=predicate:random_seed=3326057130: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)
% 7.50/1.85 % (2222870)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=2479853199:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.50/1.85 % (2222871)Refutation not found, incomplete strategy
% 7.50/1.85 % (2222871)------------------------------
% 7.50/1.85 % (2222871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222871)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222871)Termination reason: Refutation not found, incomplete strategy
% 7.50/1.85 % (2222871)Time elapsed: 0.003 s
% 7.50/1.85 % (2222871)Peak memory usage: 88 MB
% 7.50/1.85 % (2222871)Instructions burned: 3 (million)
% 7.50/1.85 % (2222874)Instruction limit reached!
% 7.50/1.85 % (2222874)------------------------------
% 7.50/1.85 % (2222874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222874)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222874)Termination reason: Instruction limit
% 7.50/1.85 % (2222874)Termination phase: Saturation
% 7.50/1.85 % (2222874)Time elapsed: 0.078 s
% 7.50/1.85 % (2222874)Peak memory usage: 89 MB
% 7.50/1.85 % (2222874)Instructions burned: 130 (million)
% 7.50/1.85 % (2222882)lrs+10_1_sil=8000:sp=occurrence:random_seed=1905483377:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.50/1.85 % (2222873)Instruction limit reached!
% 7.50/1.85 % (2222873)------------------------------
% 7.50/1.85 % (2222873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222873)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222873)Termination reason: Instruction limit
% 7.50/1.85 % (2222873)Termination phase: Saturation
% 7.50/1.85 % (2222873)Time elapsed: 0.092 s
% 7.50/1.85 % (2222873)Peak memory usage: 90 MB
% 7.50/1.85 % (2222873)Instructions burned: 142 (million)
% 7.50/1.85 % (2222882)Instruction limit reached!
% 7.50/1.85 % (2222882)------------------------------
% 7.50/1.85 % (2222882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222882)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222882)Termination reason: Instruction limit
% 7.50/1.85 % (2222882)Termination phase: Saturation
% 7.50/1.85 % (2222882)Time elapsed: 0.096 s
% 7.50/1.85 % (2222882)Peak memory usage: 91 MB
% 7.50/1.85 % (2222882)Instructions burned: 287 (million)
% 7.50/1.85 % (2222883)lrs+10_1_sil=32000:urr=on:br=off:random_seed=470091769:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.50/1.85 % (2222885)lrs+1011_1_sil=32000:sp=occurrence:random_seed=727446014:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.50/1.85 % (2222871)------------------------------
% 7.50/1.85 % (2222871)------------------------------
% 7.50/1.85 % (2222886)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=4260459509:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.50/1.85 % (2222883)Instruction limit reached!
% 7.50/1.85 % (2222883)------------------------------
% 7.50/1.85 % (2222883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222883)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222883)Termination reason: Instruction limit
% 7.50/1.85 % (2222883)Termination phase: Saturation
% 7.50/1.85 % (2222883)Time elapsed: 0.089 s
% 7.50/1.85 % (2222883)Peak memory usage: 91 MB
% 7.50/1.85 % (2222883)Instructions burned: 158 (million)
% 7.50/1.85 % (2222886)Instruction limit reached!
% 7.50/1.85 % (2222886)------------------------------
% 7.50/1.85 % (2222886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222886)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222886)Termination reason: Instruction limit
% 7.50/1.85 % (2222886)Termination phase: Saturation
% 7.50/1.85 % (2222886)Time elapsed: 0.079 s
% 7.50/1.85 % (2222886)Peak memory usage: 91 MB
% 7.50/1.85 % (2222886)Instructions burned: 250 (million)
% 7.50/1.85 % (2222889)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3707910175:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.50/1.85 % (2222889)Refutation not found, incomplete strategy
% 7.50/1.85 % (2222889)------------------------------
% 7.50/1.85 % (2222889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222889)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222889)Termination reason: Refutation not found, incomplete strategy
% 7.50/1.85 % (2222889)Time elapsed: 0.007 s
% 7.50/1.85 % (2222889)Peak memory usage: 88 MB
% 7.50/1.85 % (2222889)Instructions burned: 11 (million)
% 7.50/1.85 % (2222885)Instruction limit reached!
% 7.50/1.85 % (2222885)------------------------------
% 7.50/1.85 % (2222885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222885)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222885)Termination reason: Instruction limit
% 7.50/1.85 % (2222885)Termination phase: Saturation
% 7.50/1.85 % (2222885)Time elapsed: 0.186 s
% 7.50/1.85 % (2222885)Peak memory usage: 91 MB
% 7.50/1.85 % (2222885)Instructions burned: 325 (million)
% 7.50/1.85 % (2222891)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=52057404:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.50/1.85 % (2222892)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2800687639:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 7.50/1.85 % (2222892)Instruction limit reached!
% 7.50/1.85 % (2222892)------------------------------
% 7.50/1.85 % (2222892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222892)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222892)Termination reason: Instruction limit
% 7.50/1.85 % (2222892)Termination phase: Saturation
% 7.50/1.85 % (2222892)Time elapsed: 0.040 s
% 7.50/1.85 % (2222892)Peak memory usage: 89 MB
% 7.50/1.85 % (2222892)Instructions burned: 113 (million)
% 7.50/1.85 % (2222894)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2243180109:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.50/1.85 % (2222897)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3771401491:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 7.50/1.85 % (2222897)Instruction limit reached!
% 7.50/1.85 % (2222897)------------------------------
% 7.50/1.85 % (2222897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222897)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222897)Termination reason: Instruction limit
% 7.50/1.85 % (2222897)Termination phase: Saturation
% 7.50/1.85 % (2222897)Time elapsed: 0.034 s
% 7.50/1.85 % (2222897)Peak memory usage: 89 MB
% 7.50/1.85 % (2222897)Instructions burned: 115 (million)
% 7.50/1.85 % (2222889)------------------------------
% 7.50/1.85 % (2222889)------------------------------
% 7.50/1.85 % (2222894)Instruction limit reached!
% 7.50/1.85 % (2222894)------------------------------
% 7.50/1.85 % (2222894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222894)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222894)Termination reason: Instruction limit
% 7.50/1.85 % (2222894)Termination phase: Saturation
% 7.50/1.85 % (2222894)Time elapsed: 0.068 s
% 7.50/1.85 % (2222894)Peak memory usage: 88 MB
% 7.50/1.85 % (2222894)Instructions burned: 128 (million)
% 7.50/1.85 % (2222900)lrs+10_1_sil=8000:sp=occurrence:random_seed=1004540796:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.50/1.85 % (2222902)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4121048719:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.50/1.85 % (2222901)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2330694195:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.50/1.85 % (2222901)Refutation not found, incomplete strategy
% 7.50/1.85 % (2222901)------------------------------
% 7.50/1.85 % (2222901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222901)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222901)Termination reason: Refutation not found, incomplete strategy
% 7.50/1.85 % (2222901)Time elapsed: 0.003 s
% 7.50/1.85 % (2222901)Peak memory usage: 88 MB
% 7.50/1.85 % (2222901)Instructions burned: 3 (million)
% 7.50/1.85 % (2222868)First to succeed.
% 7.50/1.85 % (2222868)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2222863"
% 7.50/1.85 % (2222900)Instruction limit reached!
% 7.50/1.85 % (2222900)------------------------------
% 7.50/1.85 % (2222900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.50/1.85 % (2222900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.85 % (2222900)CaDiCaL version: 2.1.3
% 7.50/1.85 % (2222900)Termination reason: Instruction limit
% 7.50/1.85 % (2222900)Termination phase: Saturation
% 7.50/1.85 % (2222900)Time elapsed: 0.273 s
% 7.50/1.85 % (2222900)Peak memory usage: 97 MB
% 7.50/1.85 % (2222900)Instructions burned: 910 (million)
% 7.50/1.85 % (2222901)------------------------------
% 7.50/1.85 % (2222901)------------------------------
% 7.50/1.85 % (2222868)Refutation found. Thanks to Tanya!
% 7.50/1.85 % SZS status Theorem for theBenchmark
% 7.50/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 9.09/1.95 % (2222868)------------------------------
% 9.09/1.95 % (2222868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.09/1.95 % (2222868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/1.95 % (2222868)CaDiCaL version: 2.1.3
% 9.09/1.95 % (2222868)Termination reason: Refutation
% 9.09/1.95 % (2222868)Time elapsed: 0.811 s
% 9.09/1.95 % (2222868)Peak memory usage: 131 MB
% 9.09/1.95 % (2222868)Instructions burned: 1210 (million)
% 9.09/1.95 % (2222868)------------------------------
% 9.09/1.95 % (2222868)------------------------------
% 9.09/1.95 % (2222863)Success in time 1.215 s
% 9.09/1.95 % Vampire exiting
%------------------------------------------------------------------------------