%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM135+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 : n017.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 6.39s 1.64s
% Output : Refutation 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 154 ( 31 unt; 13 def)
% Number of atoms : 444 ( 236 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 475 ( 185 ~; 204 |; 56 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 9 con; 0-3 aty)
% Number of variables : 327 ( 0 sgn 269 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( vvar(X0) = vvar(X1)
=> X0 = X1 )
& ( X0 = X1
=> vvar(X0) = vvar(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-var') ).
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-abs') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X0 = X3
& X1 = vvar(X2) )
=> ( ( X2 = X3
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f16,axiom,
! [X0,X1] :
( ( vsomeType(X0) = vsomeType(X1)
=> X0 = X1 )
& ( X0 = X1
=> vsomeType(X0) = vsomeType(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-someType') ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X3 = X1
& X4 = vbind(X2,X6,X0) )
=> ( X1 = X2
=> ( X5 = vlookup(X3,X4)
=> X5 = vsomeType(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lookup1) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 = X0
& X3 = X6
& X4 = vvar(X1) )
=> ( X0 = X1
=> ( X5 = vsubst(X2,X3,X4)
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst0) ).
fof(f30,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 = X1
& X3 = X0
& X4 = vvar(X6) )
=> ( X1 != X6
=> ( X5 = vsubst(X2,X3,X4)
=> X5 = vvar(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst1) ).
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(f56,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,X3)
& vtcheck(vbind(X0,X1,X2),X3,X4) )
=> vtcheck(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
fof(f58,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vvar(X4),X5) )
=> vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-var') ).
fof(f59,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vvar(X4),X5) )
=> vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f66,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(f67,plain,
! [X0,X1] :
( ( X0 = X1
| vvar(X0) != vvar(X1) )
& ( vvar(X0) = vvar(X1)
| X0 != X1 ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f75]) ).
fof(f83,plain,
! [X0,X1] :
( ( X0 = X1
| vsomeType(X0) != vsomeType(X1) )
& ( vsomeType(X0) = vsomeType(X1)
| X0 != X1 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = vsomeType(X6)
| vlookup(X3,X4) != X5
| X1 != X2
| X1 != X3
| vbind(X2,X6,X0) != X4 ),
inference(ennf_transformation,[],[f23]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = vsomeType(X6)
| vlookup(X3,X4) != X5
| X1 != X2
| X1 != X3
| vbind(X2,X6,X0) != X4 ),
inference(flattening,[],[f90]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = X6
| vsubst(X2,X3,X4) != X5
| X0 != X1
| X0 != X2
| X3 != X6
| vvar(X1) != X4 ),
inference(ennf_transformation,[],[f29]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = X6
| vsubst(X2,X3,X4) != X5
| X0 != X1
| X0 != X2
| X3 != X6
| vvar(X1) != X4 ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = vvar(X6)
| vsubst(X2,X3,X4) != X5
| X1 = X6
| X1 != X2
| X0 != X3
| vvar(X6) != X4 ),
inference(ennf_transformation,[],[f30]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = vvar(X6)
| vsubst(X2,X3,X4) != X5
| X1 = X6
| X1 != X2
| X0 != X3
| vvar(X6) != X4 ),
inference(flattening,[],[f103]) ).
fof(f142,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,[],[f66]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f142]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X2,X3,X4)
| visFreeVar(X0,X3)
| ~ vtcheck(vbind(X0,X1,X2),X3,X4) ),
inference(ennf_transformation,[],[f56]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X2,X3,X4)
| visFreeVar(X0,X3)
| ~ vtcheck(vbind(X0,X1,X2),X3,X4) ),
inference(flattening,[],[f146]) ).
fof(f150,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vvar(X4),X5) ),
inference(ennf_transformation,[],[f59]) ).
fof(f151,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vvar(X4),X5) ),
inference(flattening,[],[f150]) ).
fof(f167,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(f168,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,[],[f143,f167]) ).
fof(f210,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,[],[f167]) ).
fof(f211,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,[],[f210]) ).
fof(f212,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))],[f211]) ).
fof(f213,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))],[f168]) ).
fof(f214,plain,
( ~ vtcheck(sK88,vsubst(sK89,sK90,vvar(sK91)),sK92)
& vtcheck(sK88,sK90,sK87)
& vtcheck(vbind(sK89,sK87,sK88),vvar(sK91),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)],[f151]) ).
fof(f216,plain,
! [X0,X1] :
( vvar(X0) != vvar(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f224,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ visFreeVar(X0,X1)
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f245,plain,
! [X0,X1] :
( vsomeType(X0) != vsomeType(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f252,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vsomeType(X6) = X5
| vlookup(X3,X4) != X5
| X1 != X2
| X1 != X3
| vbind(X2,X6,X0) != X4 ),
inference(cnf_transformation,[],[f91]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X5 = X6
| vsubst(X2,X3,X4) != X5
| X0 != X1
| X0 != X2
| X3 != X6
| vvar(X1) != X4 ),
inference(cnf_transformation,[],[f102]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vvar(X6) = X5
| vsubst(X2,X3,X4) != X5
| X1 = X6
| X1 != X2
| X0 != X3
| vvar(X6) != X4 ),
inference(cnf_transformation,[],[f104]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f212]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X0,X1,X2)
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f362,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,[],[f213]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| vtcheck(X2,X3,X4) ),
inference(cnf_transformation,[],[f147]) ).
fof(f366,plain,
vtcheck(vbind(sK89,sK87,sK88),vvar(sK91),sK92),
inference(cnf_transformation,[],[f214]) ).
fof(f367,plain,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f214]) ).
fof(f368,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vvar(sK91)),sK92),
inference(cnf_transformation,[],[f214]) ).
fof(f381,plain,
! [X2,X3,X1] :
( X2 = X3
| ~ visFreeVar(X3,X1)
| vvar(X2) != X1 ),
inference(equality_resolution,[],[f230]) ).
fof(f382,plain,
! [X2,X3] :
( ~ visFreeVar(X3,vvar(X2))
| X2 = X3 ),
inference(equality_resolution,[],[f381]) ).
fof(f407,plain,
! [X2,X3,X0,X1,X6,X4] :
( vlookup(X3,X4) = vsomeType(X6)
| X1 != X2
| X1 != X3
| vbind(X2,X6,X0) != X4 ),
inference(equality_resolution,[],[f252]) ).
fof(f408,plain,
! [X2,X3,X0,X6,X4] :
( vlookup(X3,X4) = vsomeType(X6)
| X2 != X3
| vbind(X2,X6,X0) != X4 ),
inference(equality_resolution,[],[f407]) ).
fof(f409,plain,
! [X3,X0,X6,X4] :
( vlookup(X3,X4) = vsomeType(X6)
| vbind(X3,X6,X0) != X4 ),
inference(equality_resolution,[],[f408]) ).
fof(f410,plain,
! [X3,X0,X6] : vsomeType(X6) = vlookup(X3,vbind(X3,X6,X0)),
inference(equality_resolution,[],[f409]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X6,X4] :
( vsubst(X2,X3,X4) = X6
| X0 != X1
| X0 != X2
| X3 != X6
| vvar(X1) != X4 ),
inference(equality_resolution,[],[f268]) ).
fof(f420,plain,
! [X2,X3,X1,X6,X4] :
( vsubst(X2,X3,X4) = X6
| X1 != X2
| X3 != X6
| vvar(X1) != X4 ),
inference(equality_resolution,[],[f419]) ).
fof(f421,plain,
! [X2,X3,X6,X4] :
( vsubst(X2,X3,X4) = X6
| X3 != X6
| vvar(X2) != X4 ),
inference(equality_resolution,[],[f420]) ).
fof(f422,plain,
! [X2,X6,X4] :
( vsubst(X2,X6,X4) = X6
| vvar(X2) != X4 ),
inference(equality_resolution,[],[f421]) ).
fof(f423,plain,
! [X2,X6] : vsubst(X2,X6,vvar(X2)) = X6,
inference(equality_resolution,[],[f422]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X6,X4] :
( vsubst(X2,X3,X4) = vvar(X6)
| X1 = X6
| X1 != X2
| X0 != X3
| vvar(X6) != X4 ),
inference(equality_resolution,[],[f269]) ).
fof(f425,plain,
! [X2,X3,X0,X6,X4] :
( vsubst(X2,X3,X4) = vvar(X6)
| X2 = X6
| X0 != X3
| vvar(X6) != X4 ),
inference(equality_resolution,[],[f424]) ).
fof(f426,plain,
! [X2,X3,X6,X4] :
( vsubst(X2,X3,X4) = vvar(X6)
| X2 = X6
| vvar(X6) != X4 ),
inference(equality_resolution,[],[f425]) ).
fof(f427,plain,
! [X2,X3,X6] :
( vvar(X6) = vsubst(X2,X3,vvar(X6))
| X2 = X6 ),
inference(equality_resolution,[],[f426]) ).
fof(f480,definition,
sF93 = vvar(sK91),
introduced(definition,[new_symbols(definition,[sF93])],[function_definition]) ).
fof(f481,plain,
vvar(sK91) = sF93,
inference(reorient_equations,[],[f480]) ).
fof(f482,definition,
sF94 = vsubst(sK89,sK90,sF93),
introduced(definition,[new_symbols(definition,[sF94])],[function_definition]) ).
fof(f483,plain,
vsubst(sK89,sK90,sF93) = sF94,
inference(reorient_equations,[],[f482]) ).
fof(f484,plain,
~ vtcheck(sK88,sF94,sK92),
inference(definition_folding,[],[f368,f483,f481]) ).
fof(f485,definition,
sF95 = vbind(sK89,sK87,sK88),
introduced(definition,[new_symbols(definition,[sF95])],[function_definition]) ).
fof(f486,plain,
vbind(sK89,sK87,sK88) = sF95,
inference(reorient_equations,[],[f485]) ).
fof(f487,plain,
vtcheck(sF95,sF93,sK92),
inference(definition_folding,[],[f366,f481,f486]) ).
fof(f491,plain,
! [X0,X1] :
( ~ vtcheck(sF95,X0,X1)
| visFreeVar(sK89,X0)
| vtcheck(sK88,X0,X1) ),
inference(superposition,[],[f364,f486]) ).
fof(f493,plain,
( visFreeVar(sK89,sF93)
| vtcheck(sK88,sF93,sK92) ),
inference(resolution,[],[f491,f487]) ).
fof(f495,definition,
( spl96_1
<=> vtcheck(sK88,sF93,sK92) ),
introduced(definition,[new_symbols(definition,[spl96_1])],[avatar_definition]) ).
fof(f499,definition,
( spl96_2
<=> visFreeVar(sK89,sF93) ),
introduced(definition,[new_symbols(definition,[spl96_2])],[avatar_definition]) ).
fof(f501,plain,
( visFreeVar(sK89,sF93)
| ~ spl96_2 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f502,plain,
( spl96_1
| spl96_2 ),
inference(avatar_split_clause,[],[f493,f499,f495]) ).
fof(f503,plain,
! [X0,X1] :
( sF93 = vsubst(X0,X1,sF93)
| sK91 = X0 ),
inference(superposition,[],[f427,f481]) ).
fof(f519,plain,
! [X0] : vsubst(sK91,X0,sF93) = X0,
inference(superposition,[],[f423,f481]) ).
fof(f526,plain,
( sF93 = sF94
| sK89 = sK91 ),
inference(superposition,[],[f503,f483]) ).
fof(f529,definition,
( spl96_5
<=> sK89 = sK91 ),
introduced(definition,[new_symbols(definition,[spl96_5])],[avatar_definition]) ).
fof(f530,plain,
( sK89 != sK91
| spl96_5 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( sK89 = sK91
| ~ spl96_5 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl96_6
<=> sF93 = sF94 ),
introduced(definition,[new_symbols(definition,[spl96_6])],[avatar_definition]) ).
fof(f535,plain,
( sF93 = sF94
| ~ spl96_6 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f537,plain,
( spl96_5
| spl96_6 ),
inference(avatar_split_clause,[],[f526,f533,f529]) ).
fof(f539,plain,
( ! [X0] : vsubst(sK89,X0,sF93) = X0
| ~ spl96_5 ),
inference(superposition,[],[f519,f531]) ).
fof(f543,plain,
( sK90 = sF94
| ~ spl96_5 ),
inference(superposition,[],[f483,f539]) ).
fof(f554,plain,
( sF93 = vabs(sK83(sF93,sK92,sF95),sK85(sF93,sK92,sF95),sK84(sF93,sK92,sF95))
| sP12(sF93,sK92,sF95)
| vsomeType(sK92) = vlookup(sK82(sF93,sK92,sF95),sF95) ),
inference(resolution,[],[f359,f487]) ).
fof(f570,definition,
( spl96_10
<=> vsomeType(sK92) = vlookup(sK82(sF93,sK92,sF95),sF95) ),
introduced(definition,[new_symbols(definition,[spl96_10])],[avatar_definition]) ).
fof(f572,plain,
( vsomeType(sK92) = vlookup(sK82(sF93,sK92,sF95),sF95)
| ~ spl96_10 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl96_11
<=> sP12(sF93,sK92,sF95) ),
introduced(definition,[new_symbols(definition,[spl96_11])],[avatar_definition]) ).
fof(f576,plain,
( sP12(sF93,sK92,sF95)
| ~ spl96_11 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f578,definition,
( spl96_12
<=> sF93 = vabs(sK83(sF93,sK92,sF95),sK85(sF93,sK92,sF95),sK84(sF93,sK92,sF95)) ),
introduced(definition,[new_symbols(definition,[spl96_12])],[avatar_definition]) ).
fof(f580,plain,
( sF93 = vabs(sK83(sF93,sK92,sF95),sK85(sF93,sK92,sF95),sK84(sF93,sK92,sF95))
| ~ spl96_12 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
( spl96_10
| spl96_11
| spl96_12 ),
inference(avatar_split_clause,[],[f554,f578,f574,f570]) ).
fof(f632,plain,
( sF93 = vabs(sK83(sF93,sK92,sF95),sK85(sF93,sK92,sF95),sK84(sF93,sK92,sF95))
| sP12(sF93,sK92,sF95)
| sF93 = vvar(sK82(sF93,sK92,sF95)) ),
inference(resolution,[],[f362,f487]) ).
fof(f636,definition,
( spl96_20
<=> sF93 = vvar(sK82(sF93,sK92,sF95)) ),
introduced(definition,[new_symbols(definition,[spl96_20])],[avatar_definition]) ).
fof(f638,plain,
( sF93 = vvar(sK82(sF93,sK92,sF95))
| ~ spl96_20 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f639,plain,
( spl96_20
| spl96_11
| spl96_12 ),
inference(avatar_split_clause,[],[f632,f578,f574,f636]) ).
fof(f642,plain,
( sF93 = vapp(sK79(sF93,sK92,sF95),sK80(sF93,sK92,sF95))
| ~ spl96_11 ),
inference(resolution,[],[f576,f356]) ).
fof(f644,plain,
( ! [X0] : vvar(X0) != sF93
| ~ spl96_11 ),
inference(superposition,[],[f225,f642]) ).
fof(f645,plain,
( sF93 != sF93
| ~ spl96_11 ),
inference(superposition,[],[f644,f481]) ).
fof(f649,plain,
( $false
| ~ spl96_11 ),
inference(trivial_inequality_removal,[],[f645]) ).
fof(f650,plain,
~ spl96_11,
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f652,plain,
( ! [X0] : vvar(X0) != sF93
| ~ spl96_12 ),
inference(superposition,[],[f224,f580]) ).
fof(f654,plain,
( sF93 != sF93
| ~ spl96_12 ),
inference(superposition,[],[f652,f481]) ).
fof(f658,plain,
( $false
| ~ spl96_12 ),
inference(trivial_inequality_removal,[],[f654]) ).
fof(f659,plain,
~ spl96_12,
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f685,definition,
( spl96_23
<=> sK89 = sK82(sF93,sK92,sF95) ),
introduced(definition,[new_symbols(definition,[spl96_23])],[avatar_definition]) ).
fof(f686,plain,
( sK89 != sK82(sF93,sK92,sF95)
| spl96_23 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f687,plain,
( sK89 = sK82(sF93,sK92,sF95)
| ~ spl96_23 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f696,plain,
( vsomeType(sK92) = vlookup(sK89,sF95)
| ~ spl96_10
| ~ spl96_23 ),
inference(superposition,[],[f572,f687]) ).
fof(f726,plain,
! [X0] :
( ~ visFreeVar(X0,sF93)
| sK91 = X0 ),
inference(superposition,[],[f382,f481]) ).
fof(f833,plain,
vsomeType(sK87) = vlookup(sK89,sF95),
inference(superposition,[],[f410,f486]) ).
fof(f837,plain,
( vsomeType(sK87) = vsomeType(sK92)
| ~ spl96_10
| ~ spl96_23 ),
inference(forward_demodulation,[],[f833,f696]) ).
fof(f841,plain,
! [X0] :
( vvar(X0) != sF93
| sK91 = X0 ),
inference(superposition,[],[f216,f481]) ).
fof(f1001,plain,
( ~ vtcheck(sK88,sF93,sK92)
| ~ spl96_6 ),
inference(superposition,[],[f484,f535]) ).
fof(f1002,plain,
( ~ spl96_1
| ~ spl96_6 ),
inference(avatar_split_clause,[],[f1001,f533,f495]) ).
fof(f1016,plain,
( sK89 = sK91
| ~ spl96_2 ),
inference(resolution,[],[f726,f501]) ).
fof(f1018,plain,
( $false
| ~ spl96_2
| spl96_5 ),
inference(forward_subsumption_resolution,[],[f1016,f530]) ).
fof(f1019,plain,
( ~ spl96_2
| spl96_5 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1269,plain,
( sF93 != sF93
| sK91 = sK82(sF93,sK92,sF95)
| ~ spl96_20 ),
inference(superposition,[],[f841,f638]) ).
fof(f1274,plain,
( sK91 = sK82(sF93,sK92,sF95)
| ~ spl96_20 ),
inference(trivial_inequality_removal,[],[f1269]) ).
fof(f1995,plain,
( sK89 = sK82(sF93,sK92,sF95)
| ~ spl96_5
| ~ spl96_20 ),
inference(forward_demodulation,[],[f1274,f531]) ).
fof(f2022,plain,
( $false
| ~ spl96_5
| ~ spl96_20
| spl96_23 ),
inference(forward_subsumption_resolution,[],[f1995,f686]) ).
fof(f2023,plain,
( ~ spl96_5
| ~ spl96_20
| spl96_23 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f6834,plain,
( ! [X0] :
( vsomeType(X0) != vsomeType(sK87)
| sK92 = X0 )
| ~ spl96_10
| ~ spl96_23 ),
inference(superposition,[],[f245,f837]) ).
fof(f6836,plain,
( sK87 = sK92
| ~ spl96_10
| ~ spl96_23 ),
inference(equality_resolution,[],[f6834]) ).
fof(f6837,plain,
( ~ vtcheck(sK88,sF94,sK87)
| ~ spl96_10
| ~ spl96_23 ),
inference(superposition,[],[f484,f6836]) ).
fof(f6905,plain,
( ~ vtcheck(sK88,sK90,sK87)
| ~ spl96_5
| ~ spl96_10
| ~ spl96_23 ),
inference(forward_demodulation,[],[f6837,f543]) ).
fof(f6906,plain,
( $false
| ~ spl96_5
| ~ spl96_10
| ~ spl96_23 ),
inference(forward_subsumption_resolution,[],[f6905,f367]) ).
fof(f6907,plain,
( ~ spl96_5
| ~ spl96_10
| ~ spl96_23 ),
inference(avatar_contradiction_clause,[],[f6906]) ).
cnf(s1,plain,
( spl96_1
| spl96_2 ),
inference(sat_conversion,[],[f502]) ).
cnf(s4,plain,
( spl96_5
| spl96_6 ),
inference(sat_conversion,[],[f537]) ).
cnf(s6,plain,
( spl96_10
| spl96_11
| spl96_12 ),
inference(sat_conversion,[],[f581]) ).
cnf(s10,plain,
( spl96_11
| spl96_12
| spl96_20 ),
inference(sat_conversion,[],[f639]) ).
cnf(s13,plain,
~ spl96_11,
inference(sat_conversion,[],[f650]) ).
cnf(s15,plain,
~ spl96_12,
inference(sat_conversion,[],[f659]) ).
cnf(s25,plain,
( ~ spl96_1
| ~ spl96_6 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s26,plain,
( ~ spl96_2
| spl96_5 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s45,plain,
( ~ spl96_5
| ~ spl96_20
| spl96_23 ),
inference(sat_conversion,[],[f2023]) ).
cnf(s134,plain,
( ~ spl96_5
| ~ spl96_10
| ~ spl96_23 ),
inference(sat_conversion,[],[f6907]) ).
cnf(s159,plain,
spl96_20,
inference(rat,[],[s10,s15,s13]) ).
cnf(s160,plain,
spl96_10,
inference(rat,[],[s6,s15,s13]) ).
cnf(s161,plain,
~ spl96_5,
inference(rat,[],[s45,s134,s159,s160]) ).
cnf(s163,plain,
~ spl96_2,
inference(rat,[],[s26,s161]) ).
cnf(s164,plain,
spl96_6,
inference(rat,[],[s4,s161]) ).
cnf(s166,plain,
spl96_1,
inference(rat,[],[s1,s163]) ).
cnf(s167,plain,
$false,
inference(rat,[],[s25,s164,s166]) ).
fof(f6908,plain,
$false,
inference(avatar_sat_refutation,[],[s167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM135+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n017.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:50:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.39/1.64 % (4076502)Detected formulas, will run a generic FOF schedule.
% 6.39/1.64 % (4076507)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=3575995074:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.39/1.64 % (4076508)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=3173139011:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.39/1.64 % (4076511)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=415575700:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.39/1.64 % (4076513)dis-21_1_sil=8000:lcm=predicate:random_seed=337616848: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)
% 6.39/1.64 % (4076512)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3112659214:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.39/1.64 % (4076510)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1211578180:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.39/1.64 % (4076509)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=1669814933:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.39/1.64 % (4076510)Refutation not found, incomplete strategy
% 6.39/1.64 % (4076510)------------------------------
% 6.39/1.64 % (4076510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076510)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076510)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.64 % (4076510)Time elapsed: 0.002 s
% 6.39/1.64 % (4076510)Peak memory usage: 88 MB
% 6.39/1.64 % (4076510)Instructions burned: 1 (million)
% 6.39/1.64 % (4076511)Instruction limit reached!
% 6.39/1.64 % (4076511)------------------------------
% 6.39/1.64 % (4076511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076511)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076511)Termination reason: Instruction limit
% 6.39/1.64 % (4076511)Termination phase: Saturation
% 6.39/1.64 % (4076511)Time elapsed: 0.070 s
% 6.39/1.64 % (4076511)Peak memory usage: 88 MB
% 6.39/1.64 % (4076511)Instructions burned: 120 (million)
% 6.39/1.64 % (4076513)Instruction limit reached!
% 6.39/1.64 % (4076513)------------------------------
% 6.39/1.64 % (4076513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076513)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076513)Termination reason: Instruction limit
% 6.39/1.64 % (4076513)Termination phase: Saturation
% 6.39/1.64 % (4076513)Time elapsed: 0.074 s
% 6.39/1.64 % (4076513)Peak memory usage: 89 MB
% 6.39/1.64 % (4076513)Instructions burned: 129 (million)
% 6.39/1.64 % (4076512)Instruction limit reached!
% 6.39/1.64 % (4076512)------------------------------
% 6.39/1.64 % (4076512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076512)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076512)Termination reason: Instruction limit
% 6.39/1.64 % (4076512)Termination phase: Saturation
% 6.39/1.64 % (4076512)Time elapsed: 0.087 s
% 6.39/1.64 % (4076512)Peak memory usage: 89 MB
% 6.39/1.64 % (4076512)Instructions burned: 139 (million)
% 6.39/1.64 % (4076521)lrs+10_1_sil=8000:sp=occurrence:random_seed=2618448538:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.39/1.64 % (4076522)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2071045682:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.39/1.64 % (4076523)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4256489534:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.39/1.64 % (4076510)------------------------------
% 6.39/1.64 % (4076510)------------------------------
% 6.39/1.64 % (4076522)Instruction limit reached!
% 6.39/1.64 % (4076522)------------------------------
% 6.39/1.64 % (4076522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076522)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076522)Termination reason: Instruction limit
% 6.39/1.64 % (4076522)Termination phase: Saturation
% 6.39/1.64 % (4076522)Time elapsed: 0.098 s
% 6.39/1.64 % (4076522)Peak memory usage: 91 MB
% 6.39/1.64 % (4076522)Instructions burned: 158 (million)
% 6.39/1.64 % (4076521)Instruction limit reached!
% 6.39/1.64 % (4076521)------------------------------
% 6.39/1.64 % (4076521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076521)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076521)Termination reason: Instruction limit
% 6.39/1.64 % (4076521)Termination phase: Saturation
% 6.39/1.64 % (4076521)Time elapsed: 0.172 s
% 6.39/1.64 % (4076521)Peak memory usage: 91 MB
% 6.39/1.64 % (4076521)Instructions burned: 286 (million)
% 6.39/1.64 % (4076527)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=3292121927:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.39/1.64 % (4076523)Instruction limit reached!
% 6.39/1.64 % (4076523)------------------------------
% 6.39/1.64 % (4076523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076523)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076523)Termination reason: Instruction limit
% 6.39/1.64 % (4076523)Termination phase: Saturation
% 6.39/1.64 % (4076523)Time elapsed: 0.201 s
% 6.39/1.64 % (4076523)Peak memory usage: 93 MB
% 6.39/1.64 % (4076523)Instructions burned: 326 (million)
% 6.39/1.64 % (4076528)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2031643213:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.39/1.64 % (4076528)Refutation not found, incomplete strategy
% 6.39/1.64 % (4076528)------------------------------
% 6.39/1.64 % (4076528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076528)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076528)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.64 % (4076528)Time elapsed: 0.007 s
% 6.39/1.64 % (4076528)Peak memory usage: 88 MB
% 6.39/1.64 % (4076528)Instructions burned: 10 (million)
% 6.39/1.64 % (4076529)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1642779121:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.39/1.64 % (4076527)Instruction limit reached!
% 6.39/1.64 % (4076527)------------------------------
% 6.39/1.64 % (4076527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076527)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076527)Termination reason: Instruction limit
% 6.39/1.64 % (4076527)Termination phase: Saturation
% 6.39/1.64 % (4076527)Time elapsed: 0.150 s
% 6.39/1.64 % (4076527)Peak memory usage: 91 MB
% 6.39/1.64 % (4076527)Instructions burned: 249 (million)
% 6.39/1.64 % (4076531)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2801175238:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.39/1.64 % (4076507)First to succeed.
% 6.39/1.64 % (4076507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4076502"
% 6.39/1.64 % (4076531)Instruction limit reached!
% 6.39/1.64 % (4076531)------------------------------
% 6.39/1.64 % (4076531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076531)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076531)Termination reason: Instruction limit
% 6.39/1.64 % (4076531)Termination phase: Saturation
% 6.39/1.64 % (4076531)Time elapsed: 0.072 s
% 6.39/1.64 % (4076531)Peak memory usage: 89 MB
% 6.39/1.64 % (4076531)Instructions burned: 114 (million)
% 6.39/1.64 % (4076534)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2671774458:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.39/1.64 % (4076528)------------------------------
% 6.39/1.64 % (4076528)------------------------------
% 6.39/1.64 % (4076534)Instruction limit reached!
% 6.39/1.64 % (4076534)------------------------------
% 6.39/1.64 % (4076534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.64 % (4076534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.64 % (4076534)CaDiCaL version: 2.1.3
% 6.39/1.64 % (4076534)Termination reason: Instruction limit
% 6.39/1.64 % (4076534)Termination phase: Saturation
% 6.39/1.64 % (4076534)Time elapsed: 0.065 s
% 6.39/1.64 % (4076534)Peak memory usage: 88 MB
% 6.39/1.64 % (4076534)Instructions burned: 128 (million)
% 6.39/1.64 % (4076507)Refutation found. Thanks to Tanya!
% 6.39/1.64 % SZS status Theorem for theBenchmark
% 6.39/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 7.48/1.83 % (4076507)------------------------------
% 7.48/1.83 % (4076507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.83 % (4076507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.83 % (4076507)CaDiCaL version: 2.1.3
% 7.48/1.83 % (4076507)Termination reason: Refutation
% 7.48/1.83 % (4076507)Time elapsed: 0.684 s
% 7.48/1.83 % (4076507)Peak memory usage: 137 MB
% 7.48/1.83 % (4076507)Instructions burned: 1809 (million)
% 7.48/1.83 % (4076507)------------------------------
% 7.48/1.83 % (4076507)------------------------------
% 7.48/1.83 % (4076502)Success in time 0.97 s
% 7.48/1.83 % Vampire exiting
%------------------------------------------------------------------------------