%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET730+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 : n019.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 12:41:46 PM UTC 2026
% Result : Theorem 11.95s 2.76s
% Output : Refutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 135 ( 23 unt; 8 def)
% Number of atoms : 529 ( 47 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 649 ( 255 ~; 275 |; 89 &)
% ( 19 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 265 ( 0 sgn 228 !; 37 ?)
% 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(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(f22,axiom,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image2) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) ) )
=> maps(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII21) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) ) )
=> maps(X1,X2,X4) ),
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] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0,X1,X2] :
( maps(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) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f35,plain,
! [X0,X1,X2] :
( maps(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) ) ) ),
inference(flattening,[],[f34]) ).
fof(f40,plain,
? [X0,X1,X2,X3,X4] :
( ~ maps(X1,X2,X4)
& maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) )
| ~ member(X5,X2)
| ~ member(X6,X4) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f41,plain,
? [X0,X1,X2,X3,X4] :
( ~ maps(X1,X2,X4)
& maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) )
| ~ member(X5,X2)
| ~ member(X6,X4) ) ),
inference(flattening,[],[f40]) ).
fof(f42,definition,
! [X0,X1,X2] :
( sP0(X0,X1,X2)
<=> ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f43,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& sP0(X0,X1,X2) ) ),
inference(definition_folding,[],[f35,f42]) ).
fof(f44,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,[],[f32]) ).
fof(f45,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,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f45]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X5,X6,X7] :
( X6 != X7
& apply(X0,X5,X6)
& apply(X0,X5,X7)
& member(X5,X1)
& member(X6,X2)
& member(X7,X2) ) )
& ( ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3,X4,X5] :
( X4 != X5
& apply(X0,X3,X4)
& apply(X0,X3,X5)
& member(X3,X1)
& member(X4,X2)
& member(X5,X2) ) )
& ( ! [X6,X7,X8] :
( X7 = X8
| ~ apply(X0,X6,X7)
| ~ apply(X0,X6,X8)
| ~ member(X6,X1)
| ~ member(X7,X2)
| ~ member(X8,X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sK5(X0,X1,X2) != sK6(X0,X1,X2)
& apply(X0,sK4(X0,X1,X2),sK5(X0,X1,X2))
& apply(X0,sK4(X0,X1,X2),sK6(X0,X1,X2))
& member(sK4(X0,X1,X2),X1)
& member(sK5(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X2) ) )
& ( ! [X6,X7,X8] :
( X7 = X8
| ~ apply(X0,X6,X7)
| ~ apply(X0,X6,X8)
| ~ member(X6,X1)
| ~ member(X7,X2)
| ~ member(X8,X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X1,X2)),skolemize(X5,sK6(X0,X1,X2))],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,X3,X4) )
& member(X3,X1) )
| ~ sP0(X0,X1,X2) )
& ( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& sP0(X0,X1,X2) )
| ~ maps(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,X3,X4) )
& member(X3,X1) )
| ~ sP0(X0,X1,X2) )
& ( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& sP0(X0,X1,X2) )
| ~ maps(X0,X1,X2) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,X3,X4) )
& member(X3,X1) )
| ~ sP0(X0,X1,X2) )
& ( ( ! [X5] :
( ? [X6] :
( member(X6,X2)
& apply(X0,X5,X6) )
| ~ member(X5,X1) )
& sP0(X0,X1,X2) )
| ~ maps(X0,X1,X2) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ( ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,sK7(X0,X1,X2),X4) )
& member(sK7(X0,X1,X2),X1) )
| ~ sP0(X0,X1,X2) )
& ( ( ! [X5] :
( ( member(sK8(X0,X2,X5),X2)
& apply(X0,X5,sK8(X0,X2,X5)) )
| ~ member(X5,X1) )
& sP0(X0,X1,X2) )
| ~ maps(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X6,sK8(X0,X2,X5))],[f68]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ? [X4] :
( member(X4,X1)
& apply(X0,X4,X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ( member(sK10(X0,X1,X2),X1)
& apply(X0,sK10(X0,X1,X2),X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X4,sK10(X0,X1,X2))],[f75]) ).
fof(f88,plain,
? [X0,X1,X2,X3,X4] :
( ~ maps(X1,X2,X4)
& maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( ( apply(X1,X5,X6)
| ~ apply(X0,X5,X6) )
& ( apply(X0,X5,X6)
| ~ apply(X1,X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f89,plain,
( ~ maps(sK15,sK16,sK18)
& maps(sK14,sK16,sK17)
& subset(sK18,sK17)
& sK18 = image2(sK14,sK16)
& ! [X5,X6] :
( ( ( apply(sK15,X5,X6)
| ~ apply(sK14,X5,X6) )
& ( apply(sK14,X5,X6)
| ~ apply(sK15,X5,X6) ) )
| ~ member(X5,sK16)
| ~ member(X6,sK18) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16),skolemize(X3,sK17),skolemize(X4,sK18)],[f88]) ).
fof(f90,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f116,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ sP0(X0,X1,X2)
| ~ apply(X0,X6,X7)
| ~ apply(X0,X6,X8)
| ~ member(X6,X1)
| ~ member(X7,X2)
| ~ member(X8,X2)
| X7 = X8 ),
inference(cnf_transformation,[],[f65]) ).
fof(f117,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f118,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f119,plain,
! [X2,X0,X1] :
( member(sK4(X0,X1,X2),X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f120,plain,
! [X2,X0,X1] :
( apply(X0,sK4(X0,X1,X2),sK6(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
! [X2,X0,X1] :
( apply(X0,sK4(X0,X1,X2),sK5(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f122,plain,
! [X2,X0,X1] :
( sK5(X0,X1,X2) != sK6(X0,X1,X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ maps(X0,X1,X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f124,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| apply(X0,X5,sK8(X0,X2,X5)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f125,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| member(sK8(X0,X2,X5),X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f126,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X1)
| maps(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f127,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,sK7(X0,X1,X2),X4)
| ~ member(X4,X2)
| maps(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f148,plain,
! [X6,X5] :
( ~ apply(sK15,X5,X6)
| apply(sK14,X5,X6)
| ~ member(X5,sK16)
| ~ member(X6,sK18) ),
inference(cnf_transformation,[],[f89]) ).
fof(f149,plain,
! [X6,X5] :
( ~ apply(sK14,X5,X6)
| apply(sK15,X5,X6)
| ~ member(X5,sK16)
| ~ member(X6,sK18) ),
inference(cnf_transformation,[],[f89]) ).
fof(f150,plain,
sK18 = image2(sK14,sK16),
inference(cnf_transformation,[],[f89]) ).
fof(f151,plain,
subset(sK18,sK17),
inference(cnf_transformation,[],[f89]) ).
fof(f152,plain,
maps(sK14,sK16,sK17),
inference(cnf_transformation,[],[f89]) ).
fof(f153,plain,
~ maps(sK15,sK16,sK18),
inference(cnf_transformation,[],[f89]) ).
fof(f157,definition,
sF19 = image2(sK14,sK16),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f158,plain,
image2(sK14,sK16) = sF19,
inference(reorient_equations,[],[f157]) ).
fof(f159,plain,
sK18 = sF19,
inference(definition_folding,[],[f150,f158]) ).
fof(f160,plain,
sK18 = image2(sK14,sK16),
inference(forward_demodulation,[],[f158,f159]) ).
fof(f161,plain,
sP0(sK14,sK16,sK17),
inference(resolution,[],[f152,f123]) ).
fof(f168,plain,
! [X0] :
( apply(sK14,X0,sK8(sK14,sK17,X0))
| ~ member(X0,sK16) ),
inference(resolution,[],[f124,f152]) ).
fof(f174,plain,
! [X0] :
( member(sK8(sK14,sK17,X0),sK17)
| ~ member(X0,sK16) ),
inference(resolution,[],[f125,f152]) ).
fof(f175,plain,
! [X0] :
( ~ member(X0,sK16)
| apply(sK15,X0,sK8(sK14,sK17,X0))
| ~ member(X0,sK16)
| ~ member(sK8(sK14,sK17,X0),sK18) ),
inference(resolution,[],[f168,f149]) ).
fof(f177,plain,
! [X0,X1] :
( member(sK8(sK14,sK17,X0),image2(sK14,X1))
| ~ member(X0,X1)
| ~ member(X0,sK16) ),
inference(resolution,[],[f168,f136]) ).
fof(f178,plain,
! [X0] :
( apply(sK15,X0,sK8(sK14,sK17,X0))
| ~ member(X0,sK16)
| ~ member(sK8(sK14,sK17,X0),sK18) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( member(sK5(X0,X1,X2),X3)
| ~ subset(X2,X3)
| sP0(X0,X1,X2) ),
inference(resolution,[],[f90,f118]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( member(sK6(X0,X1,X2),X3)
| ~ subset(X2,X3)
| sP0(X0,X1,X2) ),
inference(resolution,[],[f90,f117]) ).
fof(f188,plain,
! [X0] :
( member(sK8(sK14,sK17,X0),sK18)
| ~ member(X0,sK16)
| ~ member(X0,sK16) ),
inference(superposition,[],[f177,f160]) ).
fof(f189,plain,
! [X0] :
( member(sK8(sK14,sK17,X0),sK18)
| ~ member(X0,sK16) ),
inference(duplicate_literal_removal,[],[f188]) ).
fof(f212,plain,
! [X0,X1] :
( ~ member(sK7(sK15,X0,X1),sK16)
| ~ member(sK8(sK14,sK17,sK7(sK15,X0,X1)),sK18)
| ~ member(sK8(sK14,sK17,sK7(sK15,X0,X1)),X1)
| maps(sK15,X0,X1)
| ~ sP0(sK15,X0,X1) ),
inference(resolution,[],[f178,f127]) ).
fof(f216,plain,
! [X0,X1] :
( ~ member(sK8(sK14,sK17,sK7(sK15,X0,X1)),X1)
| ~ member(sK7(sK15,X0,X1),sK16)
| maps(sK15,X0,X1)
| ~ sP0(sK15,X0,X1) ),
inference(forward_subsumption_resolution,[],[f212,f189]) ).
fof(f221,plain,
! [X0] :
( ~ member(sK7(sK15,X0,sK18),sK16)
| maps(sK15,X0,sK18)
| ~ sP0(sK15,X0,sK18)
| ~ member(sK7(sK15,X0,sK18),sK16) ),
inference(resolution,[],[f216,f189]) ).
fof(f222,plain,
! [X0] :
( ~ member(sK7(sK15,X0,sK18),sK16)
| maps(sK15,X0,sK18)
| ~ sP0(sK15,X0,sK18) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f228,plain,
( maps(sK15,sK16,sK18)
| ~ sP0(sK15,sK16,sK18)
| maps(sK15,sK16,sK18)
| ~ sP0(sK15,sK16,sK18) ),
inference(resolution,[],[f222,f126]) ).
fof(f229,plain,
( maps(sK15,sK16,sK18)
| ~ sP0(sK15,sK16,sK18) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f230,plain,
~ sP0(sK15,sK16,sK18),
inference(forward_subsumption_resolution,[],[f229,f153]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ apply(sK14,X0,X2)
| ~ apply(sK14,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK17)
| ~ member(X2,sK17)
| X1 = X2 ),
inference(resolution,[],[f116,f161]) ).
fof(f250,plain,
! [X0,X1] :
( ~ apply(sK14,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK17)
| ~ member(sK8(sK14,sK17,X0),sK17)
| sK8(sK14,sK17,X0) = X1
| ~ member(X0,sK16) ),
inference(resolution,[],[f247,f168]) ).
fof(f251,plain,
! [X0,X1] :
( ~ apply(sK14,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK17)
| ~ member(sK8(sK14,sK17,X0),sK17)
| sK8(sK14,sK17,X0) = X1 ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f253,plain,
! [X0,X1] :
( ~ apply(sK14,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK17)
| sK8(sK14,sK17,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f251,f174]) ).
fof(f334,plain,
! [X0,X1] :
( apply(sK14,sK4(sK15,X0,X1),sK6(sK15,X0,X1))
| sP0(sK15,X0,X1)
| ~ member(sK4(sK15,X0,X1),sK16)
| ~ member(sK6(sK15,X0,X1),sK18) ),
inference(resolution,[],[f120,f148]) ).
fof(f336,plain,
! [X0,X1] :
( sP0(sK15,X0,X1)
| ~ member(sK4(sK15,X0,X1),sK16)
| ~ member(sK6(sK15,X0,X1),sK18)
| ~ member(sK4(sK15,X0,X1),sK16)
| ~ member(sK6(sK15,X0,X1),sK17)
| sK6(sK15,X0,X1) = sK8(sK14,sK17,sK4(sK15,X0,X1)) ),
inference(resolution,[],[f334,f253]) ).
fof(f342,plain,
! [X0,X1] :
( ~ member(sK6(sK15,X0,X1),sK18)
| ~ member(sK4(sK15,X0,X1),sK16)
| sP0(sK15,X0,X1)
| ~ member(sK6(sK15,X0,X1),sK17)
| sK6(sK15,X0,X1) = sK8(sK14,sK17,sK4(sK15,X0,X1)) ),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f347,plain,
! [X0] :
( ~ member(sK4(sK15,X0,sK18),sK16)
| sP0(sK15,X0,sK18)
| ~ member(sK6(sK15,X0,sK18),sK17)
| sK6(sK15,X0,sK18) = sK8(sK14,sK17,sK4(sK15,X0,sK18))
| sP0(sK15,X0,sK18) ),
inference(resolution,[],[f342,f117]) ).
fof(f350,plain,
! [X0] :
( ~ member(sK6(sK15,X0,sK18),sK17)
| sP0(sK15,X0,sK18)
| ~ member(sK4(sK15,X0,sK18),sK16)
| sK6(sK15,X0,sK18) = sK8(sK14,sK17,sK4(sK15,X0,sK18)) ),
inference(duplicate_literal_removal,[],[f347]) ).
fof(f351,plain,
! [X0] :
( sP0(sK15,X0,sK18)
| ~ member(sK4(sK15,X0,sK18),sK16)
| sK6(sK15,X0,sK18) = sK8(sK14,sK17,sK4(sK15,X0,sK18))
| ~ subset(sK18,sK17)
| sP0(sK15,X0,sK18) ),
inference(resolution,[],[f350,f182]) ).
fof(f352,plain,
! [X0] :
( sP0(sK15,X0,sK18)
| ~ member(sK4(sK15,X0,sK18),sK16)
| sK6(sK15,X0,sK18) = sK8(sK14,sK17,sK4(sK15,X0,sK18))
| ~ subset(sK18,sK17) ),
inference(duplicate_literal_removal,[],[f351]) ).
fof(f353,plain,
! [X0] :
( ~ member(sK4(sK15,X0,sK18),sK16)
| sP0(sK15,X0,sK18)
| sK6(sK15,X0,sK18) = sK8(sK14,sK17,sK4(sK15,X0,sK18)) ),
inference(forward_subsumption_resolution,[],[f352,f151]) ).
fof(f354,plain,
( sP0(sK15,sK16,sK18)
| sK6(sK15,sK16,sK18) = sK8(sK14,sK17,sK4(sK15,sK16,sK18))
| sP0(sK15,sK16,sK18) ),
inference(resolution,[],[f353,f119]) ).
fof(f357,plain,
( sP0(sK15,sK16,sK18)
| sK6(sK15,sK16,sK18) = sK8(sK14,sK17,sK4(sK15,sK16,sK18)) ),
inference(duplicate_literal_removal,[],[f354]) ).
fof(f358,plain,
sK6(sK15,sK16,sK18) = sK8(sK14,sK17,sK4(sK15,sK16,sK18)),
inference(forward_subsumption_resolution,[],[f357,f230]) ).
fof(f360,plain,
( member(sK6(sK15,sK16,sK18),sK17)
| ~ member(sK4(sK15,sK16,sK18),sK16) ),
inference(superposition,[],[f174,f358]) ).
fof(f364,plain,
( apply(sK14,sK4(sK15,sK16,sK18),sK6(sK15,sK16,sK18))
| ~ member(sK4(sK15,sK16,sK18),sK16) ),
inference(superposition,[],[f168,f358]) ).
fof(f366,definition,
( spl20_5
<=> member(sK4(sK15,sK16,sK18),sK16) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f367,plain,
( member(sK4(sK15,sK16,sK18),sK16)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( ~ member(sK4(sK15,sK16,sK18),sK16)
| spl20_5 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,definition,
( spl20_6
<=> apply(sK14,sK4(sK15,sK16,sK18),sK6(sK15,sK16,sK18)) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f372,plain,
( apply(sK14,sK4(sK15,sK16,sK18),sK6(sK15,sK16,sK18))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,plain,
( ~ spl20_5
| spl20_6 ),
inference(avatar_split_clause,[],[f364,f370,f366]) ).
fof(f388,definition,
( spl20_10
<=> member(sK6(sK15,sK16,sK18),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).
fof(f390,plain,
( member(sK6(sK15,sK16,sK18),sK17)
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f391,plain,
( ~ spl20_5
| spl20_10 ),
inference(avatar_split_clause,[],[f360,f388,f366]) ).
fof(f397,plain,
( sP0(sK15,sK16,sK18)
| spl20_5 ),
inference(resolution,[],[f368,f119]) ).
fof(f400,plain,
( $false
| spl20_5 ),
inference(forward_subsumption_resolution,[],[f397,f230]) ).
fof(f401,plain,
spl20_5,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f409,plain,
( ! [X0] :
( ~ apply(sK14,sK4(sK15,sK16,sK18),X0)
| ~ member(sK4(sK15,sK16,sK18),sK16)
| ~ member(X0,sK17)
| ~ member(sK6(sK15,sK16,sK18),sK17)
| sK6(sK15,sK16,sK18) = X0 )
| ~ spl20_6 ),
inference(resolution,[],[f372,f247]) ).
fof(f412,plain,
( ! [X0] :
( ~ apply(sK14,sK4(sK15,sK16,sK18),X0)
| ~ member(X0,sK17)
| ~ member(sK6(sK15,sK16,sK18),sK17)
| sK6(sK15,sK16,sK18) = X0 )
| ~ spl20_5
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f409,f367]) ).
fof(f413,plain,
( ! [X0] :
( ~ apply(sK14,sK4(sK15,sK16,sK18),X0)
| ~ member(X0,sK17)
| sK6(sK15,sK16,sK18) = X0 )
| ~ spl20_5
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f412,f390]) ).
fof(f499,plain,
! [X0,X1] :
( apply(sK14,sK4(sK15,X0,X1),sK5(sK15,X0,X1))
| sP0(sK15,X0,X1)
| ~ member(sK4(sK15,X0,X1),sK16)
| ~ member(sK5(sK15,X0,X1),sK18) ),
inference(resolution,[],[f121,f148]) ).
fof(f501,plain,
( sP0(sK15,sK16,sK18)
| ~ member(sK4(sK15,sK16,sK18),sK16)
| ~ member(sK5(sK15,sK16,sK18),sK18)
| ~ member(sK5(sK15,sK16,sK18),sK17)
| sK6(sK15,sK16,sK18) = sK5(sK15,sK16,sK18)
| ~ spl20_5
| ~ spl20_6
| ~ spl20_10 ),
inference(resolution,[],[f499,f413]) ).
fof(f512,plain,
( ~ member(sK4(sK15,sK16,sK18),sK16)
| ~ member(sK5(sK15,sK16,sK18),sK18)
| ~ member(sK5(sK15,sK16,sK18),sK17)
| sK6(sK15,sK16,sK18) = sK5(sK15,sK16,sK18)
| ~ spl20_5
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f501,f230]) ).
fof(f513,plain,
( ~ member(sK5(sK15,sK16,sK18),sK18)
| ~ member(sK5(sK15,sK16,sK18),sK17)
| sK6(sK15,sK16,sK18) = sK5(sK15,sK16,sK18)
| ~ spl20_5
| ~ spl20_6
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f512,f367]) ).
fof(f515,definition,
( spl20_21
<=> sK6(sK15,sK16,sK18) = sK5(sK15,sK16,sK18) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f517,plain,
( sK6(sK15,sK16,sK18) = sK5(sK15,sK16,sK18)
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f519,definition,
( spl20_22
<=> member(sK5(sK15,sK16,sK18),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f521,plain,
( ~ member(sK5(sK15,sK16,sK18),sK17)
| spl20_22 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f523,definition,
( spl20_23
<=> member(sK5(sK15,sK16,sK18),sK18) ),
introduced(definition,[new_symbols(definition,[spl20_23])],[avatar_definition]) ).
fof(f525,plain,
( ~ member(sK5(sK15,sK16,sK18),sK18)
| spl20_23 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f526,plain,
( spl20_21
| ~ spl20_22
| ~ spl20_23
| ~ spl20_5
| ~ spl20_6
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f513,f388,f370,f366,f523,f519,f515]) ).
fof(f547,plain,
( ~ subset(sK18,sK17)
| sP0(sK15,sK16,sK18)
| spl20_22 ),
inference(resolution,[],[f521,f181]) ).
fof(f548,plain,
( sP0(sK15,sK16,sK18)
| spl20_22 ),
inference(forward_subsumption_resolution,[],[f547,f151]) ).
fof(f549,plain,
( $false
| spl20_22 ),
inference(forward_subsumption_resolution,[],[f548,f230]) ).
fof(f550,plain,
spl20_22,
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f551,plain,
( sP0(sK15,sK16,sK18)
| spl20_23 ),
inference(resolution,[],[f525,f118]) ).
fof(f554,plain,
( $false
| spl20_23 ),
inference(forward_subsumption_resolution,[],[f551,f230]) ).
fof(f555,plain,
spl20_23,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f574,plain,
( sK5(sK15,sK16,sK18) != sK5(sK15,sK16,sK18)
| sP0(sK15,sK16,sK18)
| ~ spl20_21 ),
inference(superposition,[],[f122,f517]) ).
fof(f576,plain,
( sP0(sK15,sK16,sK18)
| ~ spl20_21 ),
inference(trivial_inequality_removal,[],[f574]) ).
fof(f579,plain,
( $false
| ~ spl20_21 ),
inference(forward_subsumption_resolution,[],[f576,f230]) ).
fof(f580,plain,
~ spl20_21,
inference(avatar_contradiction_clause,[],[f579]) ).
cnf(s4,plain,
( ~ spl20_5
| spl20_6 ),
inference(sat_conversion,[],[f373]) ).
cnf(s8,plain,
( ~ spl20_5
| spl20_10 ),
inference(sat_conversion,[],[f391]) ).
cnf(s10,plain,
spl20_5,
inference(sat_conversion,[],[f401]) ).
cnf(s17,plain,
( ~ spl20_5
| ~ spl20_6
| ~ spl20_10
| spl20_21
| ~ spl20_22
| ~ spl20_23 ),
inference(sat_conversion,[],[f526]) ).
cnf(s18,plain,
spl20_22,
inference(sat_conversion,[],[f550]) ).
cnf(s19,plain,
spl20_23,
inference(sat_conversion,[],[f555]) ).
cnf(s21,plain,
~ spl20_21,
inference(sat_conversion,[],[f580]) ).
cnf(s22,plain,
( ~ spl20_5
| ~ spl20_6
| ~ spl20_10 ),
inference(rat,[],[s17,s19,s18,s21]) ).
cnf(s24,plain,
spl20_10,
inference(rat,[],[s8,s10]) ).
cnf(s25,plain,
~ spl20_6,
inference(rat,[],[s22,s10,s24]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s4,s25,s10]) ).
fof(f581,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET730+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n019.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 28 02:39:49 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 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
% 11.95/2.76 % (3612604)Detected formulas, will run a generic FOF schedule.
% 11.95/2.76 % (3612610)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=1819918290:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.95/2.76 % (3612609)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=1736802790:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.95/2.76 % (3612614)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=97706629:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.95/2.76 % (3612615)dis-21_1_sil=8000:lcm=predicate:random_seed=1833917969: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)
% 11.95/2.76 % (3612611)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=3882394870:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.95/2.76 % (3612613)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2797366365:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.95/2.76 % (3612612)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2961022417:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.95/2.76 % (3612613)Instruction limit reached!
% 11.95/2.76 % (3612613)------------------------------
% 11.95/2.76 % (3612613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612613)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612613)Termination reason: Instruction limit
% 11.95/2.76 % (3612613)Termination phase: Saturation
% 11.95/2.76 % (3612613)Time elapsed: 0.117 s
% 11.95/2.76 % (3612613)Peak memory usage: 88 MB
% 11.95/2.76 % (3612613)Instructions burned: 119 (million)
% 11.95/2.76 % (3612615)Instruction limit reached!
% 11.95/2.76 % (3612615)------------------------------
% 11.95/2.76 % (3612615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612615)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612615)Termination reason: Instruction limit
% 11.95/2.76 % (3612615)Termination phase: Saturation
% 11.95/2.76 % (3612615)Time elapsed: 0.121 s
% 11.95/2.76 % (3612615)Peak memory usage: 89 MB
% 11.95/2.76 % (3612615)Instructions burned: 129 (million)
% 11.95/2.76 % (3612612)Instruction limit reached!
% 11.95/2.76 % (3612612)------------------------------
% 11.95/2.76 % (3612612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612612)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612612)Termination reason: Instruction limit
% 11.95/2.76 % (3612612)Termination phase: Saturation
% 11.95/2.76 % (3612612)Time elapsed: 0.108 s
% 11.95/2.76 % (3612612)Peak memory usage: 89 MB
% 11.95/2.76 % (3612612)Instructions burned: 109 (million)
% 11.95/2.76 % (3612614)Instruction limit reached!
% 11.95/2.76 % (3612614)------------------------------
% 11.95/2.76 % (3612614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612614)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612614)Termination reason: Instruction limit
% 11.95/2.76 % (3612614)Termination phase: Saturation
% 11.95/2.76 % (3612614)Time elapsed: 0.145 s
% 11.95/2.76 % (3612614)Peak memory usage: 89 MB
% 11.95/2.76 % (3612614)Instructions burned: 139 (million)
% 11.95/2.76 % (3612624)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2815070906:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.95/2.76 % (3612624)Refutation not found, incomplete strategy
% 11.95/2.76 % (3612624)------------------------------
% 11.95/2.76 % (3612624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612624)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612624)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.76 % (3612624)Time elapsed: 0.005 s
% 11.95/2.76 % (3612624)Peak memory usage: 88 MB
% 11.95/2.76 % (3612624)Instructions burned: 3 (million)
% 11.95/2.76 % (3612623)lrs+10_1_sil=8000:sp=occurrence:random_seed=416390896:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.95/2.76 % (3612625)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3411507093:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.95/2.76 % (3612626)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=2839494410:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.95/2.76 % (3612626)Instruction limit reached!
% 11.95/2.76 % (3612626)------------------------------
% 11.95/2.76 % (3612626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612626)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612626)Termination reason: Instruction limit
% 11.95/2.76 % (3612626)Termination phase: Saturation
% 11.95/2.76 % (3612626)Time elapsed: 0.225 s
% 11.95/2.76 % (3612626)Peak memory usage: 92 MB
% 11.95/2.76 % (3612626)Instructions burned: 248 (million)
% 11.95/2.76 % (3612623)Instruction limit reached!
% 11.95/2.76 % (3612623)------------------------------
% 11.95/2.76 % (3612623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612623)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612623)Termination reason: Instruction limit
% 11.95/2.76 % (3612623)Termination phase: Saturation
% 11.95/2.76 % (3612623)Time elapsed: 0.290 s
% 11.95/2.76 % (3612623)Peak memory usage: 92 MB
% 11.95/2.76 % (3612623)Instructions burned: 285 (million)
% 11.95/2.76 % (3612625)Instruction limit reached!
% 11.95/2.76 % (3612625)------------------------------
% 11.95/2.76 % (3612625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612625)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612625)Termination reason: Instruction limit
% 11.95/2.76 % (3612625)Termination phase: Saturation
% 11.95/2.76 % (3612625)Time elapsed: 0.334 s
% 11.95/2.76 % (3612625)Peak memory usage: 90 MB
% 11.95/2.76 % (3612625)Instructions burned: 325 (million)
% 11.95/2.76 % (3612624)------------------------------
% 11.95/2.76 % (3612624)------------------------------
% 11.95/2.76 % (3612631)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=740042034:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 11.95/2.76 % (3612632)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2152096731:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 11.95/2.76 % (3612633)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1061815954:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 11.95/2.76 % (3612634)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=658178248:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 11.95/2.76 % (3612609)First to succeed.
% 11.95/2.76 % (3612609)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3612604"
% 11.95/2.76 % (3612633)Instruction limit reached!
% 11.95/2.76 % (3612633)------------------------------
% 11.95/2.76 % (3612633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612633)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612633)Termination reason: Instruction limit
% 11.95/2.76 % (3612633)Termination phase: Saturation
% 11.95/2.76 % (3612633)Time elapsed: 0.130 s
% 11.95/2.76 % (3612633)Peak memory usage: 89 MB
% 11.95/2.76 % (3612633)Instructions burned: 113 (million)
% 11.95/2.76 % (3612634)Instruction limit reached!
% 11.95/2.76 % (3612634)------------------------------
% 11.95/2.76 % (3612634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612634)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612634)Termination reason: Instruction limit
% 11.95/2.76 % (3612634)Termination phase: Saturation
% 11.95/2.76 % (3612634)Time elapsed: 0.111 s
% 11.95/2.76 % (3612634)Peak memory usage: 89 MB
% 11.95/2.76 % (3612634)Instructions burned: 127 (million)
% 11.95/2.76 % (3612631)Instruction limit reached!
% 11.95/2.76 % (3612631)------------------------------
% 11.95/2.76 % (3612631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.76 % (3612631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.76 % (3612631)CaDiCaL version: 2.1.3
% 11.95/2.76 % (3612631)Termination reason: Instruction limit
% 11.95/2.76 % (3612631)Termination phase: Saturation
% 11.95/2.76 % (3612631)Time elapsed: 0.263 s
% 11.95/2.76 % (3612631)Peak memory usage: 89 MB
% 11.95/2.76 % (3612631)Instructions burned: 295 (million)
% 11.95/2.76 % (3612639)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3909615854:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 11.95/2.76 % (3612641)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=261274705:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 11.95/2.76 % (3612640)lrs+10_1_sil=8000:sp=occurrence:random_seed=159351209:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 11.95/2.76 % (3612611)Also succeeded, but the first one will report.
% 11.95/2.76 % (3612609)Refutation found. Thanks to Tanya!
% 11.95/2.76 % SZS status Theorem for theBenchmark
% 11.95/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 13.35/3.02 % (3612609)------------------------------
% 13.35/3.02 % (3612609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/3.02 % (3612609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/3.02 % (3612609)CaDiCaL version: 2.1.3
% 13.35/3.02 % (3612609)Termination reason: Refutation
% 13.35/3.02 % (3612609)Time elapsed: 1.117 s
% 13.35/3.02 % (3612609)Peak memory usage: 130 MB
% 13.35/3.02 % (3612609)Instructions burned: 1034 (million)
% 13.35/3.02 % (3612609)------------------------------
% 13.35/3.02 % (3612609)------------------------------
% 13.35/3.02 % (3612604)Success in time 1.805 s
% 13.35/3.02 % Vampire exiting
%------------------------------------------------------------------------------