%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET760+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 : n007.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 6.60s 1.74s
% Output : Refutation 8.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 151 ( 23 unt; 7 def)
% Number of atoms : 509 ( 35 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 610 ( 252 ~; 254 |; 74 &)
% ( 13 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 299 ( 0 sgn 273 !; 26 ?)
% 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(f18,axiom,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjective) ).
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)
& surjective(X0,X1,X2)
& subset(X3,X2) )
=> equal_set(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa10) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( maps(X0,X1,X2)
& surjective(X0,X1,X2)
& subset(X3,X2) )
=> equal_set(image3(X0,inverse_image3(X0,X3,X1),X2),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] :
( surjective(X0,X1,X2)
=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) ) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
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] :
( member(X4,X1)
& apply(X0,X4,X3) )
| ~ member(X3,X2) )
| ~ surjective(X0,X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f46,plain,
? [X0,X1,X2,X3] :
( ~ equal_set(image3(X0,inverse_image3(X0,X3,X1),X2),X3)
& maps(X0,X1,X2)
& surjective(X0,X1,X2)
& subset(X3,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f47,plain,
? [X0,X1,X2,X3] :
( ~ equal_set(image3(X0,inverse_image3(X0,X3,X1),X2),X3)
& maps(X0,X1,X2)
& surjective(X0,X1,X2)
& subset(X3,X2) ),
inference(flattening,[],[f46]) ).
fof(f48,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(f49,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,[],[f48]) ).
fof(f50,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))],[f49]) ).
fof(f67,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(f71,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( member(sK5(X0,X1,X3),X1)
& apply(X0,sK5(X0,X1,X3),X3) )
| ~ member(X3,X2) )
| ~ surjective(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X1,X3))],[f43]) ).
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(sK7(X0,X1,X3),X1)
& apply(X0,sK7(X0,X1,X3),X3) )
| ~ member(X3,image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X5,sK7(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(sK9(X0,X1,X3),X1)
& apply(X0,X3,sK9(X0,X1,X3)) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X5,sK9(X0,X1,X3))],[f85]) ).
fof(f87,plain,
( ~ equal_set(image3(sK10,inverse_image3(sK10,sK13,sK11),sK12),sK13)
& maps(sK10,sK11,sK12)
& surjective(sK10,sK11,sK12)
& subset(sK13,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13)],[f47]) ).
fof(f88,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f89,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f90,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
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,[],[f67]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| apply(X0,sK5(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f71]) ).
fof(f123,plain,
! [X2,X3,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(X3,X2)
| member(sK5(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| apply(X0,sK7(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f79]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(sK7(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f132,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(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| apply(X0,X3,sK9(X0,X1,X3)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(sK9(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f139,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(f140,plain,
subset(sK13,sK12),
inference(cnf_transformation,[],[f87]) ).
fof(f141,plain,
surjective(sK10,sK11,sK12),
inference(cnf_transformation,[],[f87]) ).
fof(f142,plain,
maps(sK10,sK11,sK12),
inference(cnf_transformation,[],[f87]) ).
fof(f143,plain,
~ equal_set(image3(sK10,inverse_image3(sK10,sK13,sK11),sK12),sK13),
inference(cnf_transformation,[],[f87]) ).
fof(f147,definition,
sF14 = inverse_image3(sK10,sK13,sK11),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f148,plain,
inverse_image3(sK10,sK13,sK11) = sF14,
inference(reorient_equations,[],[f147]) ).
fof(f149,definition,
sF15 = image3(sK10,sF14,sK12),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f150,plain,
image3(sK10,sF14,sK12) = sF15,
inference(reorient_equations,[],[f149]) ).
fof(f151,plain,
~ equal_set(sF15,sK13),
inference(definition_folding,[],[f143,f150,f148]) ).
fof(f152,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sK12) ),
inference(superposition,[],[f131,f150]) ).
fof(f153,plain,
! [X0] :
( member(sK7(sK10,sF14,X0),sF14)
| ~ member(X0,sF15) ),
inference(superposition,[],[f130,f150]) ).
fof(f154,plain,
! [X0] :
( apply(sK10,sK7(sK10,sF14,X0),X0)
| ~ member(X0,sF15) ),
inference(superposition,[],[f129,f150]) ).
fof(f155,plain,
! [X0] :
( member(sK9(sK10,sK13,X0),sK13)
| ~ member(X0,sF14) ),
inference(superposition,[],[f137,f148]) ).
fof(f156,plain,
! [X0] :
( ~ member(X0,sF14)
| member(X0,sK11) ),
inference(superposition,[],[f138,f148]) ).
fof(f157,plain,
! [X0] :
( apply(sK10,X0,sK9(sK10,sK13,X0))
| ~ member(X0,sF14) ),
inference(superposition,[],[f136,f148]) ).
fof(f174,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f90,f89]) ).
fof(f175,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f178,plain,
! [X0] :
( apply(sK10,sK5(sK10,sK11,X0),X0)
| ~ member(X0,sK12) ),
inference(resolution,[],[f122,f141]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ member(sK5(sK10,sK11,X0),X2)
| ~ member(X0,X1)
| ~ member(X0,sK12)
| member(X0,image3(sK10,X2,X1)) ),
inference(resolution,[],[f178,f132]) ).
fof(f183,plain,
! [X2,X0,X1] :
( member(sK5(sK10,sK11,X0),inverse_image3(sK10,X2,X1))
| ~ member(X0,X2)
| ~ member(sK5(sK10,sK11,X0),X1)
| ~ member(X0,sK12) ),
inference(resolution,[],[f139,f178]) ).
fof(f184,plain,
! [X0] :
( apply(sK10,X0,sK3(sK10,sK12,X0))
| ~ member(X0,sK11) ),
inference(resolution,[],[f116,f142]) ).
fof(f194,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1),X2)
| ~ subset(X0,X2)
| subset(X0,X1) ),
inference(resolution,[],[f88,f89]) ).
fof(f197,plain,
! [X0,X1] :
( member(sK9(sK10,sK13,X0),X1)
| ~ subset(sK13,X1)
| ~ member(X0,sF14) ),
inference(resolution,[],[f88,f155]) ).
fof(f199,plain,
! [X0] :
( member(sK7(sK10,sF14,X0),sK11)
| ~ member(X0,sF15) ),
inference(resolution,[],[f156,f153]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( ~ member(sK3(sK10,sK12,X0),X3)
| sK3(sK10,sK12,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ apply(sK10,X0,X1)
| ~ maps(sK10,X2,X3)
| ~ member(X0,sK11) ),
inference(resolution,[],[f115,f184]) ).
fof(f226,plain,
! [X0] :
( ~ member(sK5(sK10,sK11,X0),sK11)
| ~ member(X0,sK13)
| member(sK5(sK10,sK11,X0),sF14)
| ~ member(X0,sK12) ),
inference(superposition,[],[f183,f148]) ).
fof(f251,plain,
! [X0] :
( member(sK5(sK10,sK11,X0),sK11)
| ~ member(X0,sK12) ),
inference(resolution,[],[f123,f141]) ).
fof(f252,plain,
! [X0] :
( ~ member(X0,sK12)
| ~ member(X0,sK13)
| member(sK5(sK10,sK11,X0),sF14)
| ~ member(X0,sK12) ),
inference(resolution,[],[f251,f226]) ).
fof(f256,plain,
! [X0] :
( member(sK5(sK10,sK11,X0),sF14)
| ~ member(X0,sK13)
| ~ member(X0,sK12) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f266,plain,
! [X0,X1] :
( ~ member(X0,sK13)
| ~ member(X0,sK12)
| ~ member(X0,X1)
| ~ member(X0,sK12)
| member(X0,image3(sK10,sF14,X1)) ),
inference(resolution,[],[f256,f179]) ).
fof(f269,plain,
! [X0,X1] :
( member(X0,image3(sK10,sF14,X1))
| ~ member(X0,sK12)
| ~ member(X0,X1)
| ~ member(X0,sK13) ),
inference(duplicate_literal_removal,[],[f266]) ).
fof(f279,plain,
! [X0] :
( member(X0,sF15)
| ~ member(X0,sK12)
| ~ member(X0,sK12)
| ~ member(X0,sK13) ),
inference(superposition,[],[f269,f150]) ).
fof(f280,plain,
! [X0] :
( ~ member(X0,sK13)
| ~ member(X0,sK12)
| member(X0,sF15) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f281,plain,
! [X0] :
( ~ member(sK0(sK13,X0),sK12)
| member(sK0(sK13,X0),sF15)
| subset(sK13,X0) ),
inference(resolution,[],[f280,f89]) ).
fof(f284,plain,
! [X0] :
( member(sK0(sK13,X0),sF15)
| subset(sK13,X0)
| ~ subset(sK13,sK12)
| subset(sK13,X0) ),
inference(resolution,[],[f281,f194]) ).
fof(f285,plain,
! [X0] :
( member(sK0(sK13,X0),sF15)
| subset(sK13,X0)
| ~ subset(sK13,sK12) ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f286,plain,
! [X0] :
( member(sK0(sK13,X0),sF15)
| subset(sK13,X0) ),
inference(forward_subsumption_resolution,[],[f285,f140]) ).
fof(f287,plain,
( subset(sK13,sF15)
| subset(sK13,sF15) ),
inference(resolution,[],[f286,f90]) ).
fof(f290,plain,
subset(sK13,sF15),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f291,plain,
( ~ subset(sF15,sK13)
| equal_set(sF15,sK13) ),
inference(resolution,[],[f290,f91]) ).
fof(f292,plain,
~ subset(sF15,sK13),
inference(forward_subsumption_resolution,[],[f291,f151]) ).
fof(f300,plain,
! [X0] :
( member(sK3(sK10,sK12,X0),sK12)
| ~ member(X0,sK11) ),
inference(resolution,[],[f117,f142]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ member(X0,sK11)
| sK3(sK10,sK12,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK12)
| ~ apply(sK10,X0,X1)
| ~ maps(sK10,X2,sK12)
| ~ member(X0,sK11) ),
inference(resolution,[],[f300,f203]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ apply(sK10,X0,X1)
| sK3(sK10,sK12,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK12)
| ~ member(X0,sK11)
| ~ maps(sK10,X2,sK12) ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f335,plain,
! [X0,X1] :
( sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0
| ~ member(sK7(sK10,sF14,X0),X1)
| ~ member(X0,sK12)
| ~ member(sK7(sK10,sF14,X0),sK11)
| ~ maps(sK10,X1,sK12)
| ~ member(X0,sF15) ),
inference(resolution,[],[f306,f154]) ).
fof(f336,plain,
! [X0,X1] :
( sK9(sK10,sK13,X0) = sK3(sK10,sK12,X0)
| ~ member(X0,X1)
| ~ member(sK9(sK10,sK13,X0),sK12)
| ~ member(X0,sK11)
| ~ maps(sK10,X1,sK12)
| ~ member(X0,sF14) ),
inference(resolution,[],[f306,f157]) ).
fof(f342,plain,
! [X0,X1] :
( ~ member(sK9(sK10,sK13,X0),sK12)
| ~ member(X0,X1)
| sK9(sK10,sK13,X0) = sK3(sK10,sK12,X0)
| ~ maps(sK10,X1,sK12)
| ~ member(X0,sF14) ),
inference(forward_subsumption_resolution,[],[f336,f156]) ).
fof(f343,plain,
! [X0,X1] :
( sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0
| ~ member(sK7(sK10,sF14,X0),X1)
| ~ member(sK7(sK10,sF14,X0),sK11)
| ~ maps(sK10,X1,sK12)
| ~ member(X0,sF15) ),
inference(forward_subsumption_resolution,[],[f335,f152]) ).
fof(f344,plain,
! [X0,X1] :
( ~ member(sK7(sK10,sF14,X0),X1)
| sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0
| ~ maps(sK10,X1,sK12)
| ~ member(X0,sF15) ),
inference(forward_subsumption_resolution,[],[f343,f199]) ).
fof(f346,plain,
! [X0] :
( sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0
| ~ maps(sK10,sK11,sK12)
| ~ member(X0,sF15)
| ~ member(X0,sF15) ),
inference(resolution,[],[f344,f199]) ).
fof(f353,plain,
! [X0] :
( sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0
| ~ maps(sK10,sK11,sK12)
| ~ member(X0,sF15) ),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f357,plain,
! [X0] :
( sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0
| ~ member(X0,sF15) ),
inference(forward_subsumption_resolution,[],[f353,f142]) ).
fof(f363,definition,
( spl16_4
<=> ! [X0] :
( sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0
| ~ member(X0,sF15) ) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0] :
( ~ member(X0,sF15)
| sK3(sK10,sK12,sK7(sK10,sF14,X0)) = X0 )
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f366,plain,
spl16_4,
inference(avatar_split_clause,[],[f357,f363]) ).
fof(f367,plain,
( ! [X0] :
( subset(sF15,X0)
| sK0(sF15,X0) = sK3(sK10,sK12,sK7(sK10,sF14,sK0(sF15,X0))) )
| ~ spl16_4 ),
inference(resolution,[],[f364,f89]) ).
fof(f382,plain,
( sK0(sF15,sK13) = sK3(sK10,sK12,sK7(sK10,sF14,sK0(sF15,sK13)))
| ~ spl16_4 ),
inference(resolution,[],[f367,f292]) ).
fof(f392,definition,
( spl16_5
<=> member(sK7(sK10,sF14,sK0(sF15,sK13)),sF14) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f393,plain,
( member(sK7(sK10,sF14,sK0(sF15,sK13)),sF14)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f394,plain,
( ~ member(sK7(sK10,sF14,sK0(sF15,sK13)),sF14)
| spl16_5 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f396,definition,
( spl16_6
<=> member(sK0(sF15,sK13),sF15) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f397,plain,
( ~ member(sK0(sF15,sK13),sF15)
| spl16_6 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f427,plain,
( ~ member(sK0(sF15,sK13),sF15)
| spl16_5 ),
inference(resolution,[],[f394,f153]) ).
fof(f428,plain,
( ~ spl16_6
| spl16_5 ),
inference(avatar_split_clause,[],[f427,f392,f396]) ).
fof(f430,plain,
( ~ subset(sF15,sF15)
| subset(sF15,sK13)
| spl16_6 ),
inference(resolution,[],[f397,f194]) ).
fof(f431,plain,
( subset(sF15,sK13)
| spl16_6 ),
inference(forward_subsumption_resolution,[],[f430,f175]) ).
fof(f434,plain,
( $false
| spl16_6 ),
inference(forward_subsumption_resolution,[],[f431,f292]) ).
fof(f435,plain,
spl16_6,
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f752,definition,
( spl16_41
<=> sK0(sF15,sK13) = sK9(sK10,sK13,sK7(sK10,sF14,sK0(sF15,sK13))) ),
introduced(definition,[new_symbols(definition,[spl16_41])],[avatar_definition]) ).
fof(f754,plain,
( sK0(sF15,sK13) = sK9(sK10,sK13,sK7(sK10,sF14,sK0(sF15,sK13)))
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f756,definition,
( spl16_42
<=> member(sK0(sF15,sK13),sK13) ),
introduced(definition,[new_symbols(definition,[spl16_42])],[avatar_definition]) ).
fof(f757,plain,
( member(sK0(sF15,sK13),sK13)
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( ~ member(sK0(sF15,sK13),sK13)
| spl16_42 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f810,plain,
! [X0,X1] :
( ~ subset(sK13,sK12)
| ~ member(X0,sF14)
| ~ member(X0,X1)
| sK9(sK10,sK13,X0) = sK3(sK10,sK12,X0)
| ~ maps(sK10,X1,sK12)
| ~ member(X0,sF14) ),
inference(resolution,[],[f197,f342]) ).
fof(f830,plain,
! [X0,X1] :
( ~ subset(sK13,sK12)
| ~ member(X0,sF14)
| ~ member(X0,X1)
| sK9(sK10,sK13,X0) = sK3(sK10,sK12,X0)
| ~ maps(sK10,X1,sK12) ),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f851,plain,
! [X0,X1] :
( ~ maps(sK10,X1,sK12)
| ~ member(X0,X1)
| sK9(sK10,sK13,X0) = sK3(sK10,sK12,X0)
| ~ member(X0,sF14) ),
inference(forward_subsumption_resolution,[],[f830,f140]) ).
fof(f852,plain,
! [X0] :
( ~ member(X0,sK11)
| sK9(sK10,sK13,X0) = sK3(sK10,sK12,X0)
| ~ member(X0,sF14) ),
inference(resolution,[],[f851,f142]) ).
fof(f853,plain,
! [X0] :
( ~ member(X0,sF14)
| sK9(sK10,sK13,X0) = sK3(sK10,sK12,X0) ),
inference(forward_subsumption_resolution,[],[f852,f156]) ).
fof(f858,plain,
( sK3(sK10,sK12,sK7(sK10,sF14,sK0(sF15,sK13))) = sK9(sK10,sK13,sK7(sK10,sF14,sK0(sF15,sK13)))
| ~ spl16_5 ),
inference(resolution,[],[f853,f393]) ).
fof(f860,plain,
( sK0(sF15,sK13) = sK9(sK10,sK13,sK7(sK10,sF14,sK0(sF15,sK13)))
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_demodulation,[],[f858,f382]) ).
fof(f861,plain,
( spl16_41
| ~ spl16_4
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f860,f392,f363,f752]) ).
fof(f867,plain,
( member(sK0(sF15,sK13),sK13)
| ~ member(sK7(sK10,sF14,sK0(sF15,sK13)),sF14)
| ~ spl16_41 ),
inference(superposition,[],[f155,f754]) ).
fof(f868,plain,
( ~ member(sK7(sK10,sF14,sK0(sF15,sK13)),sF14)
| ~ spl16_41
| spl16_42 ),
inference(forward_subsumption_resolution,[],[f867,f758]) ).
fof(f870,plain,
( $false
| ~ spl16_5
| ~ spl16_41
| spl16_42 ),
inference(forward_subsumption_resolution,[],[f868,f393]) ).
fof(f871,plain,
( ~ spl16_5
| ~ spl16_41
| spl16_42 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f872,plain,
( subset(sF15,sK13)
| ~ spl16_42 ),
inference(resolution,[],[f757,f90]) ).
fof(f875,plain,
( $false
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f872,f292]) ).
fof(f876,plain,
~ spl16_42,
inference(avatar_contradiction_clause,[],[f875]) ).
cnf(s3,plain,
spl16_4,
inference(sat_conversion,[],[f366]) ).
cnf(s11,plain,
( spl16_5
| ~ spl16_6 ),
inference(sat_conversion,[],[f428]) ).
cnf(s13,plain,
spl16_6,
inference(sat_conversion,[],[f435]) ).
cnf(s51,plain,
( ~ spl16_4
| ~ spl16_5
| spl16_41 ),
inference(sat_conversion,[],[f861]) ).
cnf(s52,plain,
( ~ spl16_5
| ~ spl16_41
| spl16_42 ),
inference(sat_conversion,[],[f871]) ).
cnf(s53,plain,
~ spl16_42,
inference(sat_conversion,[],[f876]) ).
cnf(s54,plain,
( ~ spl16_5
| ~ spl16_41 ),
inference(rat,[],[s52,s53]) ).
cnf(s59,plain,
spl16_5,
inference(rat,[],[s11,s13]) ).
cnf(s60,plain,
~ spl16_41,
inference(rat,[],[s54,s59]) ).
cnf(s61,plain,
~ spl16_4,
inference(rat,[],[s51,s60,s59]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s3,s61]) ).
fof(f877,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET760+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n007.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:42:25 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 6.60/1.74 % (1976569)Detected formulas, will run a generic FOF schedule.
% 6.60/1.74 % (1976579)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1535723920:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.60/1.74 % (1976580)dis-21_1_sil=8000:lcm=predicate:random_seed=611576595: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)
% 6.60/1.74 % (1976578)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2316980540:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.60/1.74 % (1976576)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=766087961:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.60/1.74 % (1976577)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1585453816:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.60/1.74 % (1976574)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=4085064716:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.60/1.74 % (1976575)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=969495945:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.60/1.74 % (1976577)Refutation not found, incomplete strategy
% 6.60/1.74 % (1976577)------------------------------
% 6.60/1.74 % (1976577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976577)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976577)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.74 % (1976577)Time elapsed: 0.004 s
% 6.60/1.74 % (1976577)Peak memory usage: 88 MB
% 6.60/1.74 % (1976577)Instructions burned: 5 (million)
% 6.60/1.74 % (1976579)Instruction limit reached!
% 6.60/1.74 % (1976579)------------------------------
% 6.60/1.74 % (1976579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976579)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976579)Termination reason: Instruction limit
% 6.60/1.74 % (1976579)Termination phase: Saturation
% 6.60/1.74 % (1976579)Time elapsed: 0.050 s
% 6.60/1.74 % (1976579)Peak memory usage: 89 MB
% 6.60/1.74 % (1976579)Instructions burned: 139 (million)
% 6.60/1.74 % (1976578)Instruction limit reached!
% 6.60/1.74 % (1976578)------------------------------
% 6.60/1.74 % (1976578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976578)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976578)Termination reason: Instruction limit
% 6.60/1.74 % (1976578)Termination phase: Saturation
% 6.60/1.74 % (1976578)Time elapsed: 0.068 s
% 6.60/1.74 % (1976578)Peak memory usage: 88 MB
% 6.60/1.74 % (1976578)Instructions burned: 120 (million)
% 6.60/1.74 % (1976580)Instruction limit reached!
% 6.60/1.74 % (1976580)------------------------------
% 6.60/1.74 % (1976580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976580)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976580)Termination reason: Instruction limit
% 6.60/1.74 % (1976580)Termination phase: Saturation
% 6.60/1.74 % (1976580)Time elapsed: 0.081 s
% 6.60/1.74 % (1976580)Peak memory usage: 90 MB
% 6.60/1.74 % (1976580)Instructions burned: 129 (million)
% 6.60/1.74 % (1976588)lrs+10_1_sil=8000:sp=occurrence:random_seed=3895778502:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.60/1.74 % (1976589)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4236098416:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.60/1.74 % (1976589)Refutation not found, incomplete strategy
% 6.60/1.74 % (1976589)------------------------------
% 6.60/1.74 % (1976589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976589)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976589)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.74 % (1976589)Time elapsed: 0.002 s
% 6.60/1.74 % (1976589)Peak memory usage: 88 MB
% 6.60/1.74 % (1976589)Instructions burned: 2 (million)
% 6.60/1.74 % (1976590)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4009787645:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.60/1.74 % (1976588)Instruction limit reached!
% 6.60/1.74 % (1976588)------------------------------
% 6.60/1.74 % (1976588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976588)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976588)Termination reason: Instruction limit
% 6.60/1.74 % (1976588)Termination phase: Saturation
% 6.60/1.74 % (1976588)Time elapsed: 0.097 s
% 6.60/1.74 % (1976588)Peak memory usage: 92 MB
% 6.60/1.74 % (1976588)Instructions burned: 286 (million)
% 6.60/1.74 % (1976577)------------------------------
% 6.60/1.74 % (1976577)------------------------------
% 6.60/1.74 % (1976594)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=668861170:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.60/1.74 % (1976594)Instruction limit reached!
% 6.60/1.74 % (1976594)------------------------------
% 6.60/1.74 % (1976594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976594)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976594)Termination reason: Instruction limit
% 6.60/1.74 % (1976594)Termination phase: Saturation
% 6.60/1.74 % (1976594)Time elapsed: 0.072 s
% 6.60/1.74 % (1976594)Peak memory usage: 93 MB
% 6.60/1.74 % (1976594)Instructions burned: 250 (million)
% 6.60/1.74 % (1976595)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2889569053:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.60/1.74 % (1976595)Refutation not found, incomplete strategy
% 6.60/1.74 % (1976595)------------------------------
% 6.60/1.74 % (1976595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976595)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976595)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.74 % (1976595)Time elapsed: 0.002 s
% 6.60/1.74 % (1976595)Peak memory usage: 88 MB
% 6.60/1.74 % (1976595)Instructions burned: 1 (million)
% 6.60/1.74 % (1976590)Instruction limit reached!
% 6.60/1.74 % (1976590)------------------------------
% 6.60/1.74 % (1976590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976590)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976590)Termination reason: Instruction limit
% 6.60/1.74 % (1976590)Termination phase: Saturation
% 6.60/1.74 % (1976590)Time elapsed: 0.207 s
% 6.60/1.74 % (1976590)Peak memory usage: 91 MB
% 6.60/1.74 % (1976590)Instructions burned: 326 (million)
% 6.60/1.74 % (1976589)------------------------------
% 6.60/1.74 % (1976589)------------------------------
% 6.60/1.74 % (1976597)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1112183820:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.60/1.74 % (1976599)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4273994129:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.60/1.74 % (1976600)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2103398950:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.60/1.74 % (1976599)Instruction limit reached!
% 6.60/1.74 % (1976599)------------------------------
% 6.60/1.74 % (1976599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976599)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976599)Termination reason: Instruction limit
% 6.60/1.74 % (1976599)Termination phase: Saturation
% 6.60/1.74 % (1976599)Time elapsed: 0.075 s
% 6.60/1.74 % (1976599)Peak memory usage: 89 MB
% 6.60/1.74 % (1976599)Instructions burned: 114 (million)
% 6.60/1.74 % (1976600)Instruction limit reached!
% 6.60/1.74 % (1976600)------------------------------
% 6.60/1.74 % (1976600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976600)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976600)Termination reason: Instruction limit
% 6.60/1.74 % (1976600)Termination phase: Saturation
% 6.60/1.74 % (1976600)Time elapsed: 0.070 s
% 6.60/1.74 % (1976600)Peak memory usage: 89 MB
% 6.60/1.74 % (1976600)Instructions burned: 128 (million)
% 6.60/1.74 % (1976595)------------------------------
% 6.60/1.74 % (1976595)------------------------------
% 6.60/1.74 % (1976604)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4160266080:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.60/1.74 % (1976574)First to succeed.
% 6.60/1.74 % (1976574)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1976569"
% 6.60/1.74 % (1976605)lrs+10_1_sil=8000:sp=occurrence:random_seed=3552369988:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.60/1.74 % (1976606)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3780136330:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.60/1.74 % (1976606)Refutation not found, incomplete strategy
% 6.60/1.74 % (1976606)------------------------------
% 6.60/1.74 % (1976606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976606)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976606)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.74 % (1976606)Time elapsed: 0.002 s
% 6.60/1.74 % (1976606)Peak memory usage: 88 MB
% 6.60/1.74 % (1976606)Instructions burned: 1 (million)
% 6.60/1.74 % (1976604)Instruction limit reached!
% 6.60/1.74 % (1976604)------------------------------
% 6.60/1.74 % (1976604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.74 % (1976604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.74 % (1976604)CaDiCaL version: 2.1.3
% 6.60/1.74 % (1976604)Termination reason: Instruction limit
% 6.60/1.74 % (1976604)Termination phase: Saturation
% 6.60/1.74 % (1976604)Time elapsed: 0.070 s
% 6.60/1.74 % (1976604)Peak memory usage: 89 MB
% 6.60/1.74 % (1976604)Instructions burned: 115 (million)
% 6.60/1.74 % (1976610)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2785145233:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.60/1.74 % (1976597)Also succeeded, but the first one will report.
% 6.60/1.74 % (1976574)Refutation found. Thanks to Tanya!
% 6.60/1.74 % SZS status Theorem for theBenchmark
% 6.60/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 8.41/1.92 % (1976574)------------------------------
% 8.41/1.92 % (1976574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/1.92 % (1976574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/1.92 % (1976574)CaDiCaL version: 2.1.3
% 8.41/1.92 % (1976574)Termination reason: Refutation
% 8.41/1.92 % (1976574)Time elapsed: 0.747 s
% 8.41/1.92 % (1976574)Peak memory usage: 130 MB
% 8.41/1.92 % (1976574)Instructions burned: 1080 (million)
% 8.41/1.92 % (1976574)------------------------------
% 8.41/1.92 % (1976574)------------------------------
% 8.41/1.92 % (1976569)Success in time 1.137 s
% 8.41/1.92 % Vampire exiting
%------------------------------------------------------------------------------