%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET757+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 6.57s 2.00s
% Output : Refutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 177 ( 26 unt; 12 def)
% Number of atoms : 554 ( 38 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 642 ( 265 ~; 288 |; 61 &)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 269 ( 0 sgn 248 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).
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/sandbox/benchmark/theBenchmark.p',maps) ).
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/sandbox/benchmark/theBenchmark.p',inverse_image3) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2) )
=> equal_set(inverse_image3(X0,intersection(X3,X4),X1),intersection(inverse_image3(X0,X3,X1),inverse_image3(X0,X4,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa07) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2) )
=> equal_set(inverse_image3(X0,intersection(X3,X4),X1),intersection(inverse_image3(X0,X3,X1),inverse_image3(X0,X4,X1))) ),
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] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f35,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f36,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f35]) ).
fof(f38,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(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(flattening,[],[f38]) ).
fof(f44,plain,
? [X0,X1,X2,X3,X4] :
( ~ equal_set(inverse_image3(X0,intersection(X3,X4),X1),intersection(inverse_image3(X0,X3,X1),inverse_image3(X0,X4,X1)))
& maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f45,plain,
? [X0,X1,X2,X3,X4] :
( ~ equal_set(inverse_image3(X0,intersection(X3,X4),X1),intersection(inverse_image3(X0,X3,X1),inverse_image3(X0,X4,X1)))
& maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2) ),
inference(flattening,[],[f44]) ).
fof(f46,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,[],[f34]) ).
fof(f47,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,[],[f46]) ).
fof(f48,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))],[f47]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f50]) ).
fof(f65,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))],[f39]) ).
fof(f80,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(f81,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,[],[f80]) ).
fof(f82,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,[],[f81]) ).
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)
& 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))],[f82]) ).
fof(f84,plain,
( ~ equal_set(inverse_image3(sK9,intersection(sK12,sK13),sK10),intersection(inverse_image3(sK9,sK12,sK10),inverse_image3(sK9,sK13,sK10)))
& maps(sK9,sK10,sK11)
& subset(sK12,sK11)
& subset(sK13,sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X3,sK12),skolemize(X4,sK13)],[f45]) ).
fof(f85,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f86,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f87,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f88,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f112,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,[],[f65]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| apply(X0,X3,sK8(X0,X1,X3)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(sK8(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,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,[],[f83]) ).
fof(f135,plain,
subset(sK13,sK11),
inference(cnf_transformation,[],[f84]) ).
fof(f136,plain,
subset(sK12,sK11),
inference(cnf_transformation,[],[f84]) ).
fof(f137,plain,
maps(sK9,sK10,sK11),
inference(cnf_transformation,[],[f84]) ).
fof(f138,plain,
~ equal_set(inverse_image3(sK9,intersection(sK12,sK13),sK10),intersection(inverse_image3(sK9,sK12,sK10),inverse_image3(sK9,sK13,sK10))),
inference(cnf_transformation,[],[f84]) ).
fof(f142,definition,
sF14 = intersection(sK12,sK13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f143,plain,
intersection(sK12,sK13) = sF14,
inference(reorient_equations,[],[f142]) ).
fof(f144,definition,
sF15 = inverse_image3(sK9,sF14,sK10),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f145,plain,
inverse_image3(sK9,sF14,sK10) = sF15,
inference(reorient_equations,[],[f144]) ).
fof(f146,definition,
sF16 = inverse_image3(sK9,sK12,sK10),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f147,plain,
inverse_image3(sK9,sK12,sK10) = sF16,
inference(reorient_equations,[],[f146]) ).
fof(f148,definition,
sF17 = inverse_image3(sK9,sK13,sK10),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f149,plain,
inverse_image3(sK9,sK13,sK10) = sF17,
inference(reorient_equations,[],[f148]) ).
fof(f150,definition,
sF18 = intersection(sF16,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f151,plain,
intersection(sF16,sF17) = sF18,
inference(reorient_equations,[],[f150]) ).
fof(f152,plain,
~ equal_set(sF15,sF18),
inference(definition_folding,[],[f138,f151,f149,f147,f145,f143]) ).
fof(f153,plain,
! [X0] :
( ~ member(X0,sF14)
| member(X0,sK12) ),
inference(superposition,[],[f92,f143]) ).
fof(f154,plain,
! [X0] :
( ~ member(X0,sF18)
| member(X0,sF16) ),
inference(superposition,[],[f92,f151]) ).
fof(f155,plain,
! [X0] :
( ~ member(X0,sF14)
| member(X0,sK13) ),
inference(superposition,[],[f91,f143]) ).
fof(f156,plain,
! [X0] :
( ~ member(X0,sF18)
| member(X0,sF17) ),
inference(superposition,[],[f91,f151]) ).
fof(f159,plain,
! [X0] :
( ~ member(X0,sK13)
| ~ member(X0,sK12)
| member(X0,sF14) ),
inference(superposition,[],[f93,f143]) ).
fof(f160,plain,
! [X0] :
( ~ member(X0,sF17)
| ~ member(X0,sF16)
| member(X0,sF18) ),
inference(superposition,[],[f93,f151]) ).
fof(f161,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sK10) ),
inference(superposition,[],[f133,f145]) ).
fof(f162,plain,
! [X0] :
( ~ member(X0,sF16)
| member(X0,sK10) ),
inference(superposition,[],[f133,f147]) ).
fof(f163,plain,
! [X0] :
( ~ member(X0,sF17)
| member(X0,sK10) ),
inference(superposition,[],[f133,f149]) ).
fof(f164,plain,
! [X0] :
( member(sK8(sK9,sF14,X0),sF14)
| ~ member(X0,sF15) ),
inference(superposition,[],[f132,f145]) ).
fof(f165,plain,
! [X0] :
( member(sK8(sK9,sK12,X0),sK12)
| ~ member(X0,sF16) ),
inference(superposition,[],[f132,f147]) ).
fof(f166,plain,
! [X0] :
( member(sK8(sK9,sK13,X0),sK13)
| ~ member(X0,sF17) ),
inference(superposition,[],[f132,f149]) ).
fof(f167,plain,
! [X0] :
( apply(sK9,X0,sK8(sK9,sF14,X0))
| ~ member(X0,sF15) ),
inference(superposition,[],[f131,f145]) ).
fof(f168,plain,
! [X0] :
( apply(sK9,X0,sK8(sK9,sK12,X0))
| ~ member(X0,sF16) ),
inference(superposition,[],[f131,f147]) ).
fof(f169,plain,
! [X0] :
( apply(sK9,X0,sK8(sK9,sK13,X0))
| ~ member(X0,sF17) ),
inference(superposition,[],[f131,f149]) ).
fof(f170,plain,
! [X0] :
( member(sK8(sK9,sF14,X0),sK13)
| ~ member(X0,sF15) ),
inference(resolution,[],[f164,f155]) ).
fof(f171,plain,
! [X0] :
( member(sK8(sK9,sF14,X0),sK12)
| ~ member(X0,sF15) ),
inference(resolution,[],[f164,f153]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ member(sK8(sK9,sF14,X0),X2)
| ~ member(X0,X1)
| member(X0,inverse_image3(sK9,X2,X1))
| ~ member(X0,sF15) ),
inference(resolution,[],[f134,f167]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ member(sK8(sK9,sK12,X0),X2)
| ~ member(X0,X1)
| member(X0,inverse_image3(sK9,X2,X1))
| ~ member(X0,sF16) ),
inference(resolution,[],[f134,f168]) ).
fof(f176,plain,
! [X0] :
( ~ member(sK8(sK9,sK13,X0),sK12)
| ~ member(X0,sF17)
| member(sK8(sK9,sK13,X0),sF14) ),
inference(resolution,[],[f166,f159]) ).
fof(f177,plain,
! [X0] :
( apply(sK9,X0,sK3(sK9,sK11,X0))
| ~ member(X0,sK10) ),
inference(resolution,[],[f113,f137]) ).
fof(f204,plain,
! [X0,X1] :
( member(sK8(sK9,sK12,X0),X1)
| ~ subset(sK12,X1)
| ~ member(X0,sF16) ),
inference(resolution,[],[f85,f165]) ).
fof(f205,plain,
! [X0,X1] :
( member(sK8(sK9,sK13,X0),X1)
| ~ subset(sK13,X1)
| ~ member(X0,sF17) ),
inference(resolution,[],[f85,f166]) ).
fof(f219,plain,
! [X0] :
( member(sK0(sF18,X0),sF17)
| subset(sF18,X0) ),
inference(resolution,[],[f86,f156]) ).
fof(f220,plain,
! [X0] :
( member(sK0(sF18,X0),sF16)
| subset(sF18,X0) ),
inference(resolution,[],[f86,f154]) ).
fof(f234,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,[],[f112,f177]) ).
fof(f368,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,inverse_image3(sK9,sK13,X1))
| ~ member(X0,sF15)
| ~ member(X0,sF15) ),
inference(resolution,[],[f173,f170]) ).
fof(f369,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,inverse_image3(sK9,sK12,X1))
| ~ member(X0,sF15)
| ~ member(X0,sF15) ),
inference(resolution,[],[f173,f171]) ).
fof(f371,plain,
! [X0,X1] :
( member(X0,inverse_image3(sK9,sK12,X1))
| ~ member(X0,X1)
| ~ member(X0,sF15) ),
inference(duplicate_literal_removal,[],[f369]) ).
fof(f372,plain,
! [X0,X1] :
( member(X0,inverse_image3(sK9,sK13,X1))
| ~ member(X0,X1)
| ~ member(X0,sF15) ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f391,plain,
! [X0] :
( member(X0,sF16)
| ~ member(X0,sK10)
| ~ member(X0,sF15) ),
inference(superposition,[],[f371,f147]) ).
fof(f392,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sF16) ),
inference(forward_subsumption_resolution,[],[f391,f161]) ).
fof(f395,plain,
! [X0] :
( member(sK0(sF15,X0),sF16)
| subset(sF15,X0) ),
inference(resolution,[],[f392,f86]) ).
fof(f408,plain,
! [X0] :
( member(X0,sF17)
| ~ member(X0,sK10)
| ~ member(X0,sF15) ),
inference(superposition,[],[f372,f149]) ).
fof(f409,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sF17) ),
inference(forward_subsumption_resolution,[],[f408,f161]) ).
fof(f412,plain,
! [X0] :
( member(sK0(sF15,X0),sF17)
| subset(sF15,X0) ),
inference(resolution,[],[f409,f86]) ).
fof(f415,plain,
! [X0] :
( subset(sF15,X0)
| ~ member(sK0(sF15,X0),sF16)
| member(sK0(sF15,X0),sF18) ),
inference(resolution,[],[f412,f160]) ).
fof(f418,plain,
! [X0] :
( member(sK0(sF15,X0),sF18)
| subset(sF15,X0) ),
inference(forward_subsumption_resolution,[],[f415,f395]) ).
fof(f419,plain,
( subset(sF15,sF18)
| subset(sF15,sF18) ),
inference(resolution,[],[f418,f87]) ).
fof(f423,plain,
subset(sF15,sF18),
inference(duplicate_literal_removal,[],[f419]) ).
fof(f430,definition,
( spl19_28
<=> subset(sF18,sF15) ),
introduced(definition,[new_symbols(definition,[spl19_28])],[avatar_definition]) ).
fof(f431,plain,
( subset(sF18,sF15)
| ~ spl19_28 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( ~ subset(sF18,sF15)
| spl19_28 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f444,plain,
! [X0] :
( member(sK3(sK9,sK11,X0),sK11)
| ~ member(X0,sK10) ),
inference(resolution,[],[f114,f137]) ).
fof(f445,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,[],[f444,f234]) ).
fof(f449,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,[],[f445]) ).
fof(f459,plain,
! [X0,X1] :
( sK8(sK9,sK12,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,X1)
| ~ member(sK8(sK9,sK12,X0),sK11)
| ~ member(X0,sK10)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF16) ),
inference(resolution,[],[f449,f168]) ).
fof(f460,plain,
! [X0,X1] :
( sK8(sK9,sK13,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,X1)
| ~ member(sK8(sK9,sK13,X0),sK11)
| ~ member(X0,sK10)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF17) ),
inference(resolution,[],[f449,f169]) ).
fof(f463,plain,
! [X0,X1] :
( ~ member(sK8(sK9,sK13,X0),sK11)
| ~ member(X0,X1)
| sK8(sK9,sK13,X0) = sK3(sK9,sK11,X0)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF17) ),
inference(forward_subsumption_resolution,[],[f460,f163]) ).
fof(f464,plain,
! [X0,X1] :
( ~ member(sK8(sK9,sK12,X0),sK11)
| ~ member(X0,X1)
| sK8(sK9,sK12,X0) = sK3(sK9,sK11,X0)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF16) ),
inference(forward_subsumption_resolution,[],[f459,f162]) ).
fof(f466,plain,
! [X0,X1] :
( ~ member(X0,X1)
| sK8(sK9,sK12,X0) = sK3(sK9,sK11,X0)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF16)
| ~ subset(sK12,sK11)
| ~ member(X0,sF16) ),
inference(resolution,[],[f464,f204]) ).
fof(f467,plain,
! [X0,X1] :
( ~ member(X0,X1)
| sK8(sK9,sK12,X0) = sK3(sK9,sK11,X0)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF16)
| ~ subset(sK12,sK11) ),
inference(duplicate_literal_removal,[],[f466]) ).
fof(f468,plain,
! [X0,X1] :
( ~ maps(sK9,X1,sK11)
| sK8(sK9,sK12,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,X1)
| ~ member(X0,sF16) ),
inference(forward_subsumption_resolution,[],[f467,f136]) ).
fof(f469,plain,
! [X0] :
( sK8(sK9,sK12,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,sK10)
| ~ member(X0,sF16) ),
inference(resolution,[],[f468,f137]) ).
fof(f470,plain,
! [X0] :
( ~ member(X0,sF16)
| sK8(sK9,sK12,X0) = sK3(sK9,sK11,X0) ),
inference(forward_subsumption_resolution,[],[f469,f162]) ).
fof(f471,plain,
! [X0] :
( subset(sF18,X0)
| sK8(sK9,sK12,sK0(sF18,X0)) = sK3(sK9,sK11,sK0(sF18,X0)) ),
inference(resolution,[],[f470,f220]) ).
fof(f476,plain,
! [X0,X1] :
( ~ member(X0,X1)
| sK8(sK9,sK13,X0) = sK3(sK9,sK11,X0)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF17)
| ~ subset(sK13,sK11)
| ~ member(X0,sF17) ),
inference(resolution,[],[f463,f205]) ).
fof(f477,plain,
! [X0,X1] :
( ~ member(X0,X1)
| sK8(sK9,sK13,X0) = sK3(sK9,sK11,X0)
| ~ maps(sK9,X1,sK11)
| ~ member(X0,sF17)
| ~ subset(sK13,sK11) ),
inference(duplicate_literal_removal,[],[f476]) ).
fof(f478,plain,
! [X0,X1] :
( ~ maps(sK9,X1,sK11)
| sK8(sK9,sK13,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,X1)
| ~ member(X0,sF17) ),
inference(forward_subsumption_resolution,[],[f477,f135]) ).
fof(f479,plain,
! [X0] :
( sK8(sK9,sK13,X0) = sK3(sK9,sK11,X0)
| ~ member(X0,sK10)
| ~ member(X0,sF17) ),
inference(resolution,[],[f478,f137]) ).
fof(f480,plain,
! [X0] :
( ~ member(X0,sF17)
| sK8(sK9,sK13,X0) = sK3(sK9,sK11,X0) ),
inference(forward_subsumption_resolution,[],[f479,f163]) ).
fof(f481,plain,
! [X0] :
( subset(sF18,X0)
| sK3(sK9,sK11,sK0(sF18,X0)) = sK8(sK9,sK13,sK0(sF18,X0)) ),
inference(resolution,[],[f480,f219]) ).
fof(f636,plain,
( sK8(sK9,sK12,sK0(sF18,sF15)) = sK3(sK9,sK11,sK0(sF18,sF15))
| spl19_28 ),
inference(resolution,[],[f432,f471]) ).
fof(f637,plain,
( ! [X0,X1] :
( ~ member(sK3(sK9,sK11,sK0(sF18,sF15)),X0)
| ~ member(sK0(sF18,sF15),X1)
| member(sK0(sF18,sF15),inverse_image3(sK9,X0,X1))
| ~ member(sK0(sF18,sF15),sF16) )
| spl19_28 ),
inference(superposition,[],[f174,f636]) ).
fof(f639,plain,
( member(sK3(sK9,sK11,sK0(sF18,sF15)),sK12)
| ~ member(sK0(sF18,sF15),sF16)
| spl19_28 ),
inference(superposition,[],[f165,f636]) ).
fof(f642,definition,
( spl19_41
<=> member(sK0(sF18,sF15),sF16) ),
introduced(definition,[new_symbols(definition,[spl19_41])],[avatar_definition]) ).
fof(f643,plain,
( member(sK0(sF18,sF15),sF16)
| ~ spl19_41 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( ~ member(sK0(sF18,sF15),sF16)
| spl19_41 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f651,definition,
( spl19_43
<=> member(sK3(sK9,sK11,sK0(sF18,sF15)),sK12) ),
introduced(definition,[new_symbols(definition,[spl19_43])],[avatar_definition]) ).
fof(f653,plain,
( member(sK3(sK9,sK11,sK0(sF18,sF15)),sK12)
| ~ spl19_43 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f654,plain,
( ~ spl19_41
| spl19_43
| spl19_28 ),
inference(avatar_split_clause,[],[f639,f430,f651,f642]) ).
fof(f660,definition,
( spl19_45
<=> ! [X0,X1] :
( ~ member(sK3(sK9,sK11,sK0(sF18,sF15)),X0)
| member(sK0(sF18,sF15),inverse_image3(sK9,X0,X1))
| ~ member(sK0(sF18,sF15),X1) ) ),
introduced(definition,[new_symbols(definition,[spl19_45])],[avatar_definition]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ member(sK3(sK9,sK11,sK0(sF18,sF15)),X0)
| member(sK0(sF18,sF15),inverse_image3(sK9,X0,X1))
| ~ member(sK0(sF18,sF15),X1) )
| ~ spl19_45 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f662,plain,
( ~ spl19_41
| spl19_45
| spl19_28 ),
inference(avatar_split_clause,[],[f637,f430,f660,f642]) ).
fof(f663,plain,
( subset(sF18,sF15)
| spl19_41 ),
inference(resolution,[],[f644,f220]) ).
fof(f664,plain,
( $false
| spl19_28
| spl19_41 ),
inference(forward_subsumption_resolution,[],[f663,f432]) ).
fof(f665,plain,
( spl19_28
| spl19_41 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f666,plain,
( ~ subset(sF15,sF18)
| equal_set(sF15,sF18)
| ~ spl19_28 ),
inference(resolution,[],[f431,f88]) ).
fof(f667,plain,
( equal_set(sF15,sF18)
| ~ spl19_28 ),
inference(forward_subsumption_resolution,[],[f666,f423]) ).
fof(f668,plain,
( $false
| ~ spl19_28 ),
inference(forward_subsumption_resolution,[],[f667,f152]) ).
fof(f669,plain,
~ spl19_28,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f671,plain,
( member(sK0(sF18,sF15),sK10)
| ~ spl19_41 ),
inference(resolution,[],[f643,f162]) ).
fof(f727,definition,
( spl19_50
<=> member(sK0(sF18,sF15),sF17) ),
introduced(definition,[new_symbols(definition,[spl19_50])],[avatar_definition]) ).
fof(f729,plain,
( ~ member(sK0(sF18,sF15),sF17)
| spl19_50 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f735,definition,
( spl19_52
<=> member(sK0(sF18,sF15),sF15) ),
introduced(definition,[new_symbols(definition,[spl19_52])],[avatar_definition]) ).
fof(f736,plain,
( member(sK0(sF18,sF15),sF15)
| ~ spl19_52 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f737,plain,
( ~ member(sK0(sF18,sF15),sF15)
| spl19_52 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f904,plain,
( sK3(sK9,sK11,sK0(sF18,sF15)) = sK8(sK9,sK13,sK0(sF18,sF15))
| spl19_28 ),
inference(resolution,[],[f481,f432]) ).
fof(f908,plain,
( ~ member(sK3(sK9,sK11,sK0(sF18,sF15)),sK12)
| ~ member(sK0(sF18,sF15),sF17)
| member(sK3(sK9,sK11,sK0(sF18,sF15)),sF14)
| spl19_28 ),
inference(superposition,[],[f176,f904]) ).
fof(f921,plain,
( ~ member(sK0(sF18,sF15),sF17)
| member(sK3(sK9,sK11,sK0(sF18,sF15)),sF14)
| spl19_28
| ~ spl19_43 ),
inference(forward_subsumption_resolution,[],[f908,f653]) ).
fof(f923,definition,
( spl19_74
<=> member(sK3(sK9,sK11,sK0(sF18,sF15)),sF14) ),
introduced(definition,[new_symbols(definition,[spl19_74])],[avatar_definition]) ).
fof(f925,plain,
( member(sK3(sK9,sK11,sK0(sF18,sF15)),sF14)
| ~ spl19_74 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f926,plain,
( spl19_74
| ~ spl19_50
| spl19_28
| ~ spl19_43 ),
inference(avatar_split_clause,[],[f921,f651,f430,f727,f923]) ).
fof(f927,plain,
( subset(sF18,sF15)
| spl19_50 ),
inference(resolution,[],[f729,f219]) ).
fof(f928,plain,
( $false
| spl19_28
| spl19_50 ),
inference(forward_subsumption_resolution,[],[f927,f432]) ).
fof(f929,plain,
( spl19_28
| spl19_50 ),
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f938,plain,
( ! [X0] :
( member(sK0(sF18,sF15),inverse_image3(sK9,sF14,X0))
| ~ member(sK0(sF18,sF15),X0) )
| ~ spl19_45
| ~ spl19_74 ),
inference(resolution,[],[f925,f661]) ).
fof(f1025,plain,
( member(sK0(sF18,sF15),sF15)
| ~ member(sK0(sF18,sF15),sK10)
| ~ spl19_45
| ~ spl19_74 ),
inference(superposition,[],[f938,f145]) ).
fof(f1026,plain,
( ~ member(sK0(sF18,sF15),sK10)
| ~ spl19_45
| spl19_52
| ~ spl19_74 ),
inference(forward_subsumption_resolution,[],[f1025,f737]) ).
fof(f1037,plain,
( $false
| ~ spl19_41
| ~ spl19_45
| spl19_52
| ~ spl19_74 ),
inference(forward_subsumption_resolution,[],[f1026,f671]) ).
fof(f1038,plain,
( ~ spl19_41
| ~ spl19_45
| spl19_52
| ~ spl19_74 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1043,plain,
( subset(sF18,sF15)
| ~ spl19_52 ),
inference(resolution,[],[f736,f87]) ).
fof(f1048,plain,
( $false
| spl19_28
| ~ spl19_52 ),
inference(forward_subsumption_resolution,[],[f1043,f432]) ).
fof(f1049,plain,
( spl19_28
| ~ spl19_52 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
cnf(s26,plain,
( spl19_28
| ~ spl19_41
| spl19_43 ),
inference(sat_conversion,[],[f654]) ).
cnf(s28,plain,
( spl19_28
| ~ spl19_41
| spl19_45 ),
inference(sat_conversion,[],[f662]) ).
cnf(s29,plain,
( spl19_28
| spl19_41 ),
inference(sat_conversion,[],[f665]) ).
cnf(s30,plain,
~ spl19_28,
inference(sat_conversion,[],[f669]) ).
cnf(s60,plain,
( spl19_28
| ~ spl19_43
| ~ spl19_50
| spl19_74 ),
inference(sat_conversion,[],[f926]) ).
cnf(s61,plain,
( spl19_28
| spl19_50 ),
inference(sat_conversion,[],[f929]) ).
cnf(s66,plain,
( ~ spl19_41
| ~ spl19_45
| spl19_52
| ~ spl19_74 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s67,plain,
( spl19_28
| ~ spl19_52 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s68,plain,
~ spl19_52,
inference(rat,[],[s67,s30]) ).
cnf(s69,plain,
spl19_50,
inference(rat,[],[s61,s30]) ).
cnf(s73,plain,
spl19_41,
inference(rat,[],[s29,s30]) ).
cnf(s75,plain,
spl19_45,
inference(rat,[],[s28,s73,s30]) ).
cnf(s76,plain,
~ spl19_74,
inference(rat,[],[s66,s73,s68,s75]) ).
cnf(s77,plain,
~ spl19_43,
inference(rat,[],[s60,s30,s69,s76]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s26,s77,s73,s30]) ).
fof(f1050,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET757+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:44:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/2.00 % (2969173)Detected formulas, will run a generic FOF schedule.
% 6.57/2.00 % (2969182)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1717149234:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.57/2.00 % (2969182)Instruction limit reached!
% 6.57/2.00 % (2969182)------------------------------
% 6.57/2.00 % (2969182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969182)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969182)Termination reason: Instruction limit
% 6.57/2.00 % (2969182)Termination phase: Saturation
% 6.57/2.00 % (2969182)Time elapsed: 0.037 s
% 6.57/2.00 % (2969182)Peak memory usage: 89 MB
% 6.57/2.00 % (2969182)Instructions burned: 119 (million)
% 6.57/2.00 % (2969183)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3946322472:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.57/2.00 % (2969181)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1343128559:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.57/2.00 % (2969180)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=4097082371:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.57/2.00 % (2969178)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=3416803941:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.57/2.00 % (2969179)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=3000168478:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.57/2.00 % (2969181)Refutation not found, incomplete strategy
% 6.57/2.00 % (2969181)------------------------------
% 6.57/2.00 % (2969181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969181)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969181)Termination reason: Refutation not found, incomplete strategy
% 6.57/2.00 % (2969181)Time elapsed: 0.003 s
% 6.57/2.00 % (2969181)Peak memory usage: 88 MB
% 6.57/2.00 % (2969181)Instructions burned: 2 (million)
% 6.57/2.00 % (2969184)dis-21_1_sil=8000:lcm=predicate:random_seed=4281962616: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)
% 6.57/2.00 % (2969183)Instruction limit reached!
% 6.57/2.00 % (2969183)------------------------------
% 6.57/2.00 % (2969183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969183)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969183)Termination reason: Instruction limit
% 6.57/2.00 % (2969183)Termination phase: Saturation
% 6.57/2.00 % (2969183)Time elapsed: 0.057 s
% 6.57/2.00 % (2969183)Peak memory usage: 89 MB
% 6.57/2.00 % (2969183)Instructions burned: 140 (million)
% 6.57/2.00 % (2969184)Instruction limit reached!
% 6.57/2.00 % (2969184)------------------------------
% 6.57/2.00 % (2969184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969184)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969184)Termination reason: Instruction limit
% 6.57/2.00 % (2969184)Termination phase: Saturation
% 6.57/2.00 % (2969184)Time elapsed: 0.083 s
% 6.57/2.00 % (2969184)Peak memory usage: 90 MB
% 6.57/2.00 % (2969184)Instructions burned: 130 (million)
% 6.57/2.00 % (2969191)lrs+10_1_sil=8000:sp=occurrence:random_seed=3888849685:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.57/2.00 % (2969193)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3155881188:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.57/2.00 % (2969193)Instruction limit reached!
% 6.57/2.00 % (2969193)------------------------------
% 6.57/2.00 % (2969193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969193)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969193)Termination reason: Instruction limit
% 6.57/2.00 % (2969193)Termination phase: Saturation
% 6.57/2.00 % (2969193)Time elapsed: 0.040 s
% 6.57/2.00 % (2969193)Peak memory usage: 91 MB
% 6.57/2.00 % (2969193)Instructions burned: 160 (million)
% 6.57/2.00 % (2969194)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2534410793:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.57/2.00 % (2969181)------------------------------
% 6.57/2.00 % (2969181)------------------------------
% 6.57/2.00 % (2969197)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=1624099380:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.57/2.00 % (2969191)Instruction limit reached!
% 6.57/2.00 % (2969191)------------------------------
% 6.57/2.00 % (2969191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969191)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969191)Termination reason: Instruction limit
% 6.57/2.00 % (2969191)Termination phase: Saturation
% 6.57/2.00 % (2969191)Time elapsed: 0.189 s
% 6.57/2.00 % (2969191)Peak memory usage: 92 MB
% 6.57/2.00 % (2969191)Instructions burned: 286 (million)
% 6.57/2.00 % (2969197)Instruction limit reached!
% 6.57/2.00 % (2969197)------------------------------
% 6.57/2.00 % (2969197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969197)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969197)Termination reason: Instruction limit
% 6.57/2.00 % (2969197)Termination phase: Saturation
% 6.57/2.00 % (2969197)Time elapsed: 0.074 s
% 6.57/2.00 % (2969197)Peak memory usage: 93 MB
% 6.57/2.00 % (2969197)Instructions burned: 250 (million)
% 6.57/2.00 % (2969199)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=361586459:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.57/2.00 % (2969199)Refutation not found, incomplete strategy
% 6.57/2.00 % (2969199)------------------------------
% 6.57/2.00 % (2969199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969199)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969199)Termination reason: Refutation not found, incomplete strategy
% 6.57/2.00 % (2969199)Time elapsed: 0.002 s
% 6.57/2.00 % (2969199)Peak memory usage: 88 MB
% 6.57/2.00 % (2969199)Instructions burned: 1 (million)
% 6.57/2.00 % (2969201)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4027126500:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.57/2.00 % (2969194)Instruction limit reached!
% 6.57/2.00 % (2969194)------------------------------
% 6.57/2.00 % (2969194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969194)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969194)Termination reason: Instruction limit
% 6.57/2.00 % (2969194)Termination phase: Saturation
% 6.57/2.00 % (2969194)Time elapsed: 0.218 s
% 6.57/2.00 % (2969194)Peak memory usage: 91 MB
% 6.57/2.00 % (2969194)Instructions burned: 325 (million)
% 6.57/2.00 % (2969202)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1931885499:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.57/2.00 % (2969202)Instruction limit reached!
% 6.57/2.00 % (2969202)------------------------------
% 6.57/2.00 % (2969202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969202)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969202)Termination reason: Instruction limit
% 6.57/2.00 % (2969202)Termination phase: Saturation
% 6.57/2.00 % (2969202)Time elapsed: 0.041 s
% 6.57/2.00 % (2969202)Peak memory usage: 89 MB
% 6.57/2.00 % (2969202)Instructions burned: 113 (million)
% 6.57/2.00 % (2969205)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3539931314:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.57/2.00 % (2969207)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2441662076:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.57/2.00 % (2969199)------------------------------
% 6.57/2.00 % (2969199)------------------------------
% 6.57/2.00 % (2969205)Instruction limit reached!
% 6.57/2.00 % (2969205)------------------------------
% 6.57/2.00 % (2969205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969205)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969205)Termination reason: Instruction limit
% 6.57/2.00 % (2969205)Termination phase: Saturation
% 6.57/2.00 % (2969205)Time elapsed: 0.069 s
% 6.57/2.00 % (2969205)Peak memory usage: 89 MB
% 6.57/2.00 % (2969205)Instructions burned: 127 (million)
% 6.57/2.00 % (2969207)Instruction limit reached!
% 6.57/2.00 % (2969207)------------------------------
% 6.57/2.00 % (2969207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969207)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969207)Termination reason: Instruction limit
% 6.57/2.00 % (2969207)Termination phase: Saturation
% 6.57/2.00 % (2969207)Time elapsed: 0.071 s
% 6.57/2.00 % (2969207)Peak memory usage: 89 MB
% 6.57/2.00 % (2969207)Instructions burned: 114 (million)
% 6.57/2.00 % (2969178)First to succeed.
% 6.57/2.00 % (2969178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2969173"
% 6.57/2.00 % (2969210)lrs+10_1_sil=8000:sp=occurrence:random_seed=1809720266:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.57/2.00 % (2969211)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=467249:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.57/2.00 % (2969211)Refutation not found, incomplete strategy
% 6.57/2.00 % (2969211)------------------------------
% 6.57/2.00 % (2969211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/2.00 % (2969211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/2.00 % (2969211)CaDiCaL version: 2.1.3
% 6.57/2.00 % (2969211)Termination reason: Refutation not found, incomplete strategy
% 6.57/2.00 % (2969211)Time elapsed: 0.002 s
% 6.57/2.00 % (2969211)Peak memory usage: 88 MB
% 6.57/2.00 % (2969211)Instructions burned: 1 (million)
% 6.57/2.00 % (2969212)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3814533161:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.57/2.00 % (2969178)Refutation found. Thanks to Tanya!
% 6.57/2.00 % SZS status Theorem for theBenchmark
% 6.57/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 8.70/2.19 % (2969178)------------------------------
% 8.70/2.19 % (2969178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.19 % (2969178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.19 % (2969178)CaDiCaL version: 2.1.3
% 8.70/2.19 % (2969178)Termination reason: Refutation
% 8.70/2.19 % (2969178)Time elapsed: 0.737 s
% 8.70/2.19 % (2969178)Peak memory usage: 131 MB
% 8.70/2.19 % (2969178)Instructions burned: 1086 (million)
% 8.70/2.19 % (2969178)------------------------------
% 8.70/2.19 % (2969178)------------------------------
% 8.70/2.19 % (2969173)Success in time 1.151 s
% 8.70/2.19 % Vampire exiting
%------------------------------------------------------------------------------