%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET759+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:41:51 PM UTC 2026
% Result : Theorem 6.65s 1.97s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 13
% Syntax : Number of formulae : 141 ( 20 unt; 6 def)
% Number of atoms : 501 ( 35 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 609 ( 249 ~; 253 |; 76 &)
% ( 12 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 296 ( 0 sgn 273 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X2)
& member(X6,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( member(X3,image3(X0,X1,X2))
<=> ( member(X3,X2)
& ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image3) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( member(X3,inverse_image3(X0,X1,X2))
<=> ( member(X3,X2)
& ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_image3) ).
fof(f29,conjecture,
! [X0,X1,X2,X3] :
( ( maps(X0,X1,X2)
& injective(X0,X1,X2)
& subset(X3,X1) )
=> equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa09) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( maps(X0,X1,X2)
& injective(X0,X1,X2)
& subset(X3,X1) )
=> equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
=> ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) ) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f35,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f37,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f36]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f39]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) )
| ~ injective(X0,X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) )
| ~ injective(X0,X1,X2) ),
inference(flattening,[],[f43]) ).
fof(f47,plain,
? [X0,X1,X2,X3] :
( ~ equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3)
& maps(X0,X1,X2)
& injective(X0,X1,X2)
& subset(X3,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f48,plain,
? [X0,X1,X2,X3] :
( ~ equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3)
& maps(X0,X1,X2)
& injective(X0,X1,X2)
& subset(X3,X1) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f50,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f50]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK3(X0,X2,X3),X2)
& apply(X0,X3,sK3(X0,X2,X3)) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X2,X3))],[f40]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ( member(X3,image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) ) )
& ( ( member(X3,X2)
& ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) )
| ~ member(X3,image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ( member(X3,image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) ) )
& ( ( member(X3,X2)
& ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) )
| ~ member(X3,image3(X0,X1,X2)) ) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ( member(X3,image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) ) )
& ( ( member(X3,X2)
& ? [X5] :
( member(X5,X1)
& apply(X0,X5,X3) ) )
| ~ member(X3,image3(X0,X1,X2)) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ( member(X3,image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) ) )
& ( ( member(X3,X2)
& member(sK6(X0,X1,X3),X1)
& apply(X0,sK6(X0,X1,X3),X3) )
| ~ member(X3,image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X5,sK6(X0,X1,X3))],[f78]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X3,X4) ) )
& ( ( member(X3,X2)
& ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) ) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X3,X4) ) )
& ( ( member(X3,X2)
& ? [X4] :
( member(X4,X1)
& apply(X0,X3,X4) ) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X3,X4) ) )
& ( ( member(X3,X2)
& ? [X5] :
( member(X5,X1)
& apply(X0,X3,X5) ) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ~ member(X3,X2)
| ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X3,X4) ) )
& ( ( member(X3,X2)
& member(sK8(X0,X1,X3),X1)
& apply(X0,X3,sK8(X0,X1,X3)) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X5,sK8(X0,X1,X3))],[f85]) ).
fof(f87,plain,
( ~ equal_set(inverse_image3(sK9,image3(sK9,sK12,sK11),sK10),sK12)
& maps(sK9,sK10,sK11)
& injective(sK9,sK10,sK11)
& subset(sK12,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X3,sK12)],[f48]) ).
fof(f88,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f89,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f90,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f91,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f115,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f122,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X0,X1,X2)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2)
| X3 = X4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| apply(X0,sK6(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f79]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(sK6(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X4,X3)
| ~ member(X3,X2)
| ~ member(X4,X1)
| member(X3,image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| apply(X0,X3,sK8(X0,X1,X3)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(sK8(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X3,X4)
| ~ member(X3,X2)
| ~ member(X4,X1)
| member(X3,inverse_image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f139,plain,
subset(sK12,sK10),
inference(cnf_transformation,[],[f87]) ).
fof(f140,plain,
injective(sK9,sK10,sK11),
inference(cnf_transformation,[],[f87]) ).
fof(f141,plain,
maps(sK9,sK10,sK11),
inference(cnf_transformation,[],[f87]) ).
fof(f142,plain,
~ equal_set(inverse_image3(sK9,image3(sK9,sK12,sK11),sK10),sK12),
inference(cnf_transformation,[],[f87]) ).
fof(f146,definition,
sF13 = image3(sK9,sK12,sK11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f147,plain,
image3(sK9,sK12,sK11) = sF13,
inference(reorient_equations,[],[f146]) ).
fof(f148,definition,
sF14 = inverse_image3(sK9,sF13,sK10),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f149,plain,
inverse_image3(sK9,sF13,sK10) = sF14,
inference(reorient_equations,[],[f148]) ).
fof(f150,plain,
~ equal_set(sF14,sK12),
inference(definition_folding,[],[f142,f149,f147]) ).
fof(f151,plain,
! [X0] :
( member(sK8(sK9,sF13,X0),sF13)
| ~ member(X0,sF14) ),
inference(superposition,[],[f136,f149]) ).
fof(f152,plain,
! [X0] :
( apply(sK9,X0,sK8(sK9,sF13,X0))
| ~ member(X0,sF14) ),
inference(superposition,[],[f135,f149]) ).
fof(f153,plain,
! [X0] :
( ~ member(X0,sF14)
| member(X0,sK10) ),
inference(superposition,[],[f137,f149]) ).
fof(f157,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f90,f89]) ).
fof(f158,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f160,plain,
! [X0] :
( member(sK6(sK9,sK12,X0),sK12)
| ~ member(X0,sF13) ),
inference(superposition,[],[f129,f147]) ).
fof(f162,plain,
! [X0] :
( apply(sK9,sK6(sK9,sK12,X0),X0)
| ~ member(X0,sF13) ),
inference(superposition,[],[f128,f147]) ).
fof(f164,plain,
! [X0] :
( ~ member(X0,sF13)
| member(X0,sK11) ),
inference(superposition,[],[f130,f147]) ).
fof(f175,plain,
! [X0] :
( apply(sK9,X0,sK3(sK9,sK11,X0))
| ~ member(X0,sK10) ),
inference(resolution,[],[f116,f141]) ).
fof(f177,plain,
! [X2,X0,X1] :
( member(sK3(sK9,sK11,X0),image3(sK9,X2,X1))
| ~ member(X0,X2)
| ~ member(sK3(sK9,sK11,X0),X1)
| ~ member(X0,sK10) ),
inference(resolution,[],[f131,f175]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ member(sK3(sK9,sK11,X0),X2)
| ~ member(X0,X1)
| member(X0,inverse_image3(sK9,X2,X1))
| ~ member(X0,sK10) ),
inference(resolution,[],[f138,f175]) ).
fof(f183,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1),X2)
| ~ subset(X0,X2)
| subset(X0,X1) ),
inference(resolution,[],[f88,f89]) ).
fof(f184,plain,
! [X0,X1] :
( member(sK6(sK9,sK12,X0),X1)
| ~ subset(sK12,X1)
| ~ member(X0,sF13) ),
inference(resolution,[],[f88,f160]) ).
fof(f198,plain,
! [X0] :
( member(sK8(sK9,sF13,X0),sK11)
| ~ member(X0,sF14) ),
inference(resolution,[],[f164,f151]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ member(sK3(sK9,sK11,X0),X3)
| sK3(sK9,sK11,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ apply(sK9,X0,X1)
| ~ maps(sK9,X2,X3)
| ~ member(X0,sK10) ),
inference(resolution,[],[f115,f175]) ).
fof(f211,plain,
! [X0] :
( ~ member(sK3(sK9,sK11,X0),sK11)
| ~ member(X0,sK12)
| member(sK3(sK9,sK11,X0),sF13)
| ~ member(X0,sK10) ),
inference(superposition,[],[f177,f147]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ apply(sK9,X2,X1)
| ~ apply(sK9,X0,X1)
| ~ member(X0,sK10)
| ~ member(X2,sK10)
| ~ member(X1,sK11)
| X0 = X2 ),
inference(resolution,[],[f122,f140]) ).
fof(f214,plain,
! [X0,X1] :
( ~ apply(sK9,X0,sK8(sK9,sF13,X1))
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| ~ member(sK8(sK9,sF13,X1),sK11)
| X0 = X1
| ~ member(X1,sF14) ),
inference(resolution,[],[f213,f152]) ).
fof(f219,plain,
! [X0,X1] :
( ~ apply(sK9,X0,sK8(sK9,sF13,X1))
| ~ member(X0,sK10)
| ~ member(sK8(sK9,sF13,X1),sK11)
| X0 = X1
| ~ member(X1,sF14) ),
inference(forward_subsumption_resolution,[],[f214,f153]) ).
fof(f220,plain,
! [X0,X1] :
( ~ apply(sK9,X0,sK8(sK9,sF13,X1))
| ~ member(X0,sK10)
| X0 = X1
| ~ member(X1,sF14) ),
inference(forward_subsumption_resolution,[],[f219,f198]) ).
fof(f222,plain,
! [X0] :
( ~ member(sK6(sK9,sK12,sK8(sK9,sF13,X0)),sK10)
| sK6(sK9,sK12,sK8(sK9,sF13,X0)) = X0
| ~ member(X0,sF14)
| ~ member(sK8(sK9,sF13,X0),sF13) ),
inference(resolution,[],[f220,f162]) ).
fof(f224,plain,
! [X0] :
( ~ member(sK6(sK9,sK12,sK8(sK9,sF13,X0)),sK10)
| sK6(sK9,sK12,sK8(sK9,sF13,X0)) = X0
| ~ member(X0,sF14) ),
inference(forward_subsumption_resolution,[],[f222,f151]) ).
fof(f238,plain,
! [X0] :
( member(sK3(sK9,sK11,X0),sK11)
| ~ member(X0,sK10) ),
inference(resolution,[],[f117,f141]) ).
fof(f239,plain,
! [X0] :
( ~ member(X0,sK10)
| ~ member(X0,sK12)
| member(sK3(sK9,sK11,X0),sF13)
| ~ member(X0,sK10) ),
inference(resolution,[],[f238,f211]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ member(X0,sK10)
| sK3(sK9,sK11,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK11)
| ~ apply(sK9,X0,X1)
| ~ maps(sK9,X2,sK11)
| ~ member(X0,sK10) ),
inference(resolution,[],[f238,f201]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ apply(sK9,X0,X1)
| sK3(sK9,sK11,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK11)
| ~ member(X0,sK10)
| ~ maps(sK9,X2,sK11) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f245,plain,
! [X0] :
( member(sK3(sK9,sK11,X0),sF13)
| ~ member(X0,sK12)
| ~ member(X0,sK10) ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f255,plain,
! [X0,X1] :
( ~ member(X0,sK12)
| ~ member(X0,sK10)
| ~ member(X0,X1)
| member(X0,inverse_image3(sK9,sF13,X1))
| ~ member(X0,sK10) ),
inference(resolution,[],[f245,f180]) ).
fof(f258,plain,
! [X0,X1] :
( member(X0,inverse_image3(sK9,sF13,X1))
| ~ member(X0,sK10)
| ~ member(X0,X1)
| ~ member(X0,sK12) ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f268,plain,
! [X0] :
( member(X0,sF14)
| ~ member(X0,sK10)
| ~ member(X0,sK10)
| ~ member(X0,sK12) ),
inference(superposition,[],[f258,f149]) ).
fof(f269,plain,
! [X0] :
( ~ member(X0,sK12)
| ~ member(X0,sK10)
| member(X0,sF14) ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f271,plain,
! [X0] :
( ~ member(sK0(sK12,X0),sK10)
| member(sK0(sK12,X0),sF14)
| subset(sK12,X0) ),
inference(resolution,[],[f269,f89]) ).
fof(f274,plain,
! [X0] :
( member(sK0(sK12,X0),sF14)
| subset(sK12,X0)
| ~ subset(sK12,sK10)
| subset(sK12,X0) ),
inference(resolution,[],[f271,f183]) ).
fof(f275,plain,
! [X0] :
( member(sK0(sK12,X0),sF14)
| subset(sK12,X0)
| ~ subset(sK12,sK10) ),
inference(duplicate_literal_removal,[],[f274]) ).
fof(f276,plain,
! [X0] :
( member(sK0(sK12,X0),sF14)
| subset(sK12,X0) ),
inference(forward_subsumption_resolution,[],[f275,f139]) ).
fof(f277,plain,
( subset(sK12,sF14)
| subset(sK12,sF14) ),
inference(resolution,[],[f276,f90]) ).
fof(f280,plain,
subset(sK12,sF14),
inference(duplicate_literal_removal,[],[f277]) ).
fof(f281,plain,
( ~ subset(sF14,sK12)
| equal_set(sF14,sK12) ),
inference(resolution,[],[f280,f91]) ).
fof(f282,plain,
~ subset(sF14,sK12),
inference(forward_subsumption_resolution,[],[f281,f150]) ).
fof(f283,plain,
! [X0,X1] :
( sK8(sK9,sF13,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,X1)
| ~ member(sK8(sK9,sF13,X0),sK11)
| ~ member(X0,sK10)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF14) ),
inference(resolution,[],[f244,f152]) ).
fof(f288,plain,
! [X0,X1] :
( sK8(sK9,sF13,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,X1)
| ~ member(X0,sK10)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF14) ),
inference(forward_subsumption_resolution,[],[f283,f198]) ).
fof(f289,plain,
! [X0,X1] :
( ~ maps(sK9,X1,sK11)
| ~ member(X0,X1)
| sK8(sK9,sF13,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,sF14) ),
inference(forward_subsumption_resolution,[],[f288,f153]) ).
fof(f290,plain,
! [X0] :
( ~ member(X0,sK10)
| sK8(sK9,sF13,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,sF14) ),
inference(resolution,[],[f289,f141]) ).
fof(f291,plain,
! [X0] :
( ~ member(X0,sF14)
| sK8(sK9,sF13,X0) = sK3(sK9,sK11,X0) ),
inference(forward_subsumption_resolution,[],[f290,f153]) ).
fof(f292,plain,
! [X0] :
( subset(sF14,X0)
| sK8(sK9,sF13,sK0(sF14,X0)) = sK3(sK9,sK11,sK0(sF14,X0)) ),
inference(resolution,[],[f291,f89]) ).
fof(f295,plain,
sK8(sK9,sF13,sK0(sF14,sK12)) = sK3(sK9,sK11,sK0(sF14,sK12)),
inference(resolution,[],[f292,f282]) ).
fof(f297,plain,
( ~ member(sK6(sK9,sK12,sK3(sK9,sK11,sK0(sF14,sK12))),sK10)
| sK0(sF14,sK12) = sK6(sK9,sK12,sK3(sK9,sK11,sK0(sF14,sK12)))
| ~ member(sK0(sF14,sK12),sF14) ),
inference(superposition,[],[f224,f295]) ).
fof(f300,plain,
( member(sK3(sK9,sK11,sK0(sF14,sK12)),sF13)
| ~ member(sK0(sF14,sK12),sF14) ),
inference(superposition,[],[f151,f295]) ).
fof(f303,definition,
( spl15_3
<=> member(sK0(sF14,sK12),sF14) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f305,plain,
( ~ member(sK0(sF14,sK12),sF14)
| spl15_3 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f312,definition,
( spl15_5
<=> member(sK3(sK9,sK11,sK0(sF14,sK12)),sF13) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f314,plain,
( member(sK3(sK9,sK11,sK0(sF14,sK12)),sF13)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( ~ spl15_3
| spl15_5 ),
inference(avatar_split_clause,[],[f300,f312,f303]) ).
fof(f326,definition,
( spl15_8
<=> sK0(sF14,sK12) = sK6(sK9,sK12,sK3(sK9,sK11,sK0(sF14,sK12))) ),
introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).
fof(f328,plain,
( sK0(sF14,sK12) = sK6(sK9,sK12,sK3(sK9,sK11,sK0(sF14,sK12)))
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f330,definition,
( spl15_9
<=> member(sK6(sK9,sK12,sK3(sK9,sK11,sK0(sF14,sK12))),sK10) ),
introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).
fof(f332,plain,
( ~ member(sK6(sK9,sK12,sK3(sK9,sK11,sK0(sF14,sK12))),sK10)
| spl15_9 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f333,plain,
( ~ spl15_3
| spl15_8
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f297,f330,f326,f303]) ).
fof(f335,plain,
( ~ subset(sF14,sF14)
| subset(sF14,sK12)
| spl15_3 ),
inference(resolution,[],[f305,f183]) ).
fof(f336,plain,
( subset(sF14,sK12)
| spl15_3 ),
inference(forward_subsumption_resolution,[],[f335,f158]) ).
fof(f339,plain,
( $false
| spl15_3 ),
inference(forward_subsumption_resolution,[],[f336,f282]) ).
fof(f340,plain,
spl15_3,
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f558,plain,
( ~ subset(sK12,sK10)
| ~ member(sK3(sK9,sK11,sK0(sF14,sK12)),sF13)
| spl15_9 ),
inference(resolution,[],[f184,f332]) ).
fof(f586,plain,
( ~ member(sK3(sK9,sK11,sK0(sF14,sK12)),sF13)
| spl15_9 ),
inference(forward_subsumption_resolution,[],[f558,f139]) ).
fof(f590,plain,
( $false
| ~ spl15_5
| spl15_9 ),
inference(forward_subsumption_resolution,[],[f586,f314]) ).
fof(f591,plain,
( ~ spl15_5
| spl15_9 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f605,plain,
( member(sK0(sF14,sK12),sK12)
| ~ member(sK3(sK9,sK11,sK0(sF14,sK12)),sF13)
| ~ spl15_8 ),
inference(superposition,[],[f160,f328]) ).
fof(f606,plain,
( member(sK0(sF14,sK12),sK12)
| ~ spl15_5
| ~ spl15_8 ),
inference(forward_subsumption_resolution,[],[f605,f314]) ).
fof(f609,plain,
( subset(sF14,sK12)
| ~ spl15_5
| ~ spl15_8 ),
inference(resolution,[],[f606,f90]) ).
fof(f612,plain,
( $false
| ~ spl15_5
| ~ spl15_8 ),
inference(forward_subsumption_resolution,[],[f609,f282]) ).
fof(f613,plain,
( ~ spl15_5
| ~ spl15_8 ),
inference(avatar_contradiction_clause,[],[f612]) ).
cnf(s3,plain,
( ~ spl15_3
| spl15_5 ),
inference(sat_conversion,[],[f315]) ).
cnf(s6,plain,
( ~ spl15_3
| spl15_8
| ~ spl15_9 ),
inference(sat_conversion,[],[f333]) ).
cnf(s8,plain,
spl15_3,
inference(sat_conversion,[],[f340]) ).
cnf(s24,plain,
( ~ spl15_5
| spl15_9 ),
inference(sat_conversion,[],[f591]) ).
cnf(s25,plain,
( ~ spl15_5
| ~ spl15_8 ),
inference(sat_conversion,[],[f613]) ).
cnf(s29,plain,
( spl15_8
| ~ spl15_9 ),
inference(rat,[],[s6,s8]) ).
cnf(s32,plain,
spl15_5,
inference(rat,[],[s3,s8]) ).
cnf(s33,plain,
~ spl15_8,
inference(rat,[],[s25,s32]) ).
cnf(s34,plain,
spl15_9,
inference(rat,[],[s24,s32]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s29,s34,s33]) ).
fof(f614,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET759+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n005.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 02:44:17 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 6.65/1.97 % (380150)Detected formulas, will run a generic FOF schedule.
% 6.65/1.97 % (380160)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1099592543:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.65/1.97 % (380159)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4219160519:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.65/1.97 % (380155)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=2378480342:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.65/1.97 % (380158)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2783300514:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.65/1.97 % (380157)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=594004530:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.65/1.97 % (380156)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=2605755989:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.65/1.97 % (380158)Refutation not found, incomplete strategy
% 6.65/1.97 % (380158)------------------------------
% 6.65/1.97 % (380158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380158)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380158)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.97 % (380158)Time elapsed: 0.006 s
% 6.65/1.97 % (380158)Peak memory usage: 88 MB
% 6.65/1.97 % (380158)Instructions burned: 8 (million)
% 6.65/1.97 % (380161)dis-21_1_sil=8000:lcm=predicate:random_seed=3363587753: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)
% 6.65/1.97 % (380160)Instruction limit reached!
% 6.65/1.97 % (380160)------------------------------
% 6.65/1.97 % (380160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380160)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380160)Termination reason: Instruction limit
% 6.65/1.97 % (380160)Termination phase: Saturation
% 6.65/1.97 % (380160)Time elapsed: 0.054 s
% 6.65/1.97 % (380160)Peak memory usage: 89 MB
% 6.65/1.97 % (380160)Instructions burned: 143 (million)
% 6.65/1.97 % (380159)Instruction limit reached!
% 6.65/1.97 % (380159)------------------------------
% 6.65/1.97 % (380159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380159)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380159)Termination reason: Instruction limit
% 6.65/1.97 % (380159)Termination phase: Saturation
% 6.65/1.97 % (380159)Time elapsed: 0.073 s
% 6.65/1.97 % (380159)Peak memory usage: 89 MB
% 6.65/1.97 % (380159)Instructions burned: 121 (million)
% 6.65/1.97 % (380161)Instruction limit reached!
% 6.65/1.97 % (380161)------------------------------
% 6.65/1.97 % (380161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380161)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380161)Termination reason: Instruction limit
% 6.65/1.97 % (380161)Termination phase: Saturation
% 6.65/1.97 % (380161)Time elapsed: 0.085 s
% 6.65/1.97 % (380161)Peak memory usage: 89 MB
% 6.65/1.97 % (380161)Instructions burned: 130 (million)
% 6.65/1.97 % (380169)lrs+10_1_sil=8000:sp=occurrence:random_seed=2499527261:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.65/1.97 % (380169)Instruction limit reached!
% 6.65/1.97 % (380169)------------------------------
% 6.65/1.97 % (380169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380169)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380169)Termination reason: Instruction limit
% 6.65/1.97 % (380169)Termination phase: Saturation
% 6.65/1.97 % (380169)Time elapsed: 0.099 s
% 6.65/1.97 % (380169)Peak memory usage: 92 MB
% 6.65/1.97 % (380169)Instructions burned: 285 (million)
% 6.65/1.97 % (380170)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2959379624:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.65/1.97 % (380170)Refutation not found, incomplete strategy
% 6.65/1.97 % (380170)------------------------------
% 6.65/1.97 % (380170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380170)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380170)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.97 % (380170)Time elapsed: 0.002 s
% 6.65/1.97 % (380170)Peak memory usage: 88 MB
% 6.65/1.97 % (380170)Instructions burned: 2 (million)
% 6.65/1.97 % (380172)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2978140318:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.65/1.97 % (380158)------------------------------
% 6.65/1.97 % (380158)------------------------------
% 6.65/1.97 % (380173)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=1662609073:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.65/1.97 % (380173)Instruction limit reached!
% 6.65/1.97 % (380173)------------------------------
% 6.65/1.97 % (380173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380173)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380173)Termination reason: Instruction limit
% 6.65/1.97 % (380173)Termination phase: Saturation
% 6.65/1.97 % (380173)Time elapsed: 0.071 s
% 6.65/1.97 % (380173)Peak memory usage: 93 MB
% 6.65/1.97 % (380173)Instructions burned: 248 (million)
% 6.65/1.97 % (380176)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4106923474:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.65/1.97 % (380172)Instruction limit reached!
% 6.65/1.97 % (380172)------------------------------
% 6.65/1.97 % (380172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380172)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380172)Termination reason: Instruction limit
% 6.65/1.97 % (380172)Termination phase: Saturation
% 6.65/1.97 % (380172)Time elapsed: 0.213 s
% 6.65/1.97 % (380172)Peak memory usage: 91 MB
% 6.65/1.97 % (380172)Instructions burned: 326 (million)
% 6.65/1.97 % (380178)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3643702616:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.65/1.97 % (380170)------------------------------
% 6.65/1.97 % (380170)------------------------------
% 6.65/1.97 % (380176)Instruction limit reached!
% 6.65/1.97 % (380176)------------------------------
% 6.65/1.97 % (380176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380176)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380176)Termination reason: Instruction limit
% 6.65/1.97 % (380176)Termination phase: Saturation
% 6.65/1.97 % (380176)Time elapsed: 0.154 s
% 6.65/1.97 % (380176)Peak memory usage: 88 MB
% 6.65/1.97 % (380176)Instructions burned: 296 (million)
% 6.65/1.97 % (380181)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1797600082:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.65/1.97 % (380182)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1506423943:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.65/1.97 % (380181)Instruction limit reached!
% 6.65/1.97 % (380181)------------------------------
% 6.65/1.97 % (380181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380181)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380181)Termination reason: Instruction limit
% 6.65/1.97 % (380181)Termination phase: Saturation
% 6.65/1.97 % (380181)Time elapsed: 0.076 s
% 6.65/1.97 % (380181)Peak memory usage: 89 MB
% 6.65/1.97 % (380181)Instructions burned: 114 (million)
% 6.65/1.97 % (380182)Instruction limit reached!
% 6.65/1.97 % (380182)------------------------------
% 6.65/1.97 % (380182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380182)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380182)Termination reason: Instruction limit
% 6.65/1.97 % (380182)Termination phase: Saturation
% 6.65/1.97 % (380182)Time elapsed: 0.071 s
% 6.65/1.97 % (380182)Peak memory usage: 89 MB
% 6.65/1.97 % (380182)Instructions burned: 127 (million)
% 6.65/1.97 % (380183)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4007306973:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.65/1.97 % (380155)First to succeed.
% 6.65/1.97 % (380155)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-380150"
% 6.65/1.97 % (380183)Instruction limit reached!
% 6.65/1.97 % (380183)------------------------------
% 6.65/1.97 % (380183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.97 % (380183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.97 % (380183)CaDiCaL version: 2.1.3
% 6.65/1.97 % (380183)Termination reason: Instruction limit
% 6.65/1.97 % (380183)Termination phase: Saturation
% 6.65/1.97 % (380183)Time elapsed: 0.069 s
% 6.65/1.97 % (380183)Peak memory usage: 89 MB
% 6.65/1.97 % (380183)Instructions burned: 114 (million)
% 6.65/1.97 % (380186)lrs+10_1_sil=8000:sp=occurrence:random_seed=1918694949:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.65/1.97 % (380187)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=847284016:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.65/1.97 % (380178)Also succeeded, but the first one will report.
% 6.65/1.97 % (380189)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4112207680:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.65/1.97 % (380155)Refutation found. Thanks to Tanya!
% 6.65/1.97 % SZS status Theorem for theBenchmark
% 6.65/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.30/2.07 % (380155)------------------------------
% 8.30/2.07 % (380155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/2.07 % (380155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/2.07 % (380155)CaDiCaL version: 2.1.3
% 8.30/2.07 % (380155)Termination reason: Refutation
% 8.30/2.07 % (380155)Time elapsed: 0.700 s
% 8.30/2.07 % (380155)Peak memory usage: 130 MB
% 8.30/2.07 % (380155)Instructions burned: 1028 (million)
% 8.30/2.07 % (380155)------------------------------
% 8.30/2.07 % (380155)------------------------------
% 8.30/2.07 % (380150)Success in time 1.103 s
% 8.30/2.07 % Vampire exiting
%------------------------------------------------------------------------------