%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET709+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 : 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 12:41:42 PM UTC 2026
% Result : Theorem 4.29s 1.54s
% Output : Refutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 7
% Syntax : Number of formulae : 127 ( 14 unt; 4 def)
% Number of atoms : 518 ( 58 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 652 ( 261 ~; 297 |; 74 &)
% ( 11 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-5 aty)
% Number of variables : 312 ( 0 sgn 280 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
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(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& maps(X1,X3,X4) )
=> maps(compose_function(X1,X0,X2,X3,X4),X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII01) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& maps(X1,X3,X4) )
=> maps(compose_function(X1,X0,X2,X3,X4),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(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(f36,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(ennf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(flattening,[],[f36]) ).
fof(f40,plain,
? [X0,X1,X2,X3,X4] :
( ~ maps(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X0,X2,X3)
& maps(X1,X3,X4) ),
inference(ennf_transformation,[],[f30]) ).
fof(f41,plain,
? [X0,X1,X2,X3,X4] :
( ~ maps(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X0,X2,X3)
& maps(X1,X3,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(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(f70,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(nnf_transformation,[],[f37]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X8] :
( member(X8,X3)
& apply(X1,X5,X8)
& apply(X0,X8,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ( member(sK9(X0,X1,X3,X5,X6),X3)
& apply(X1,X5,sK9(X0,X1,X3,X5,X6))
& apply(X0,sK9(X0,X1,X3,X5,X6),X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X8,sK9(X0,X1,X3,X5,X6))],[f71]) ).
fof(f88,plain,
( ~ maps(compose_function(sK15,sK14,sK16,sK17,sK18),sK16,sK18)
& maps(sK14,sK16,sK17)
& maps(sK15,sK17,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)],[f41]) ).
fof(f115,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(f116,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f117,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f118,plain,
! [X2,X0,X1] :
( member(sK4(X0,X1,X2),X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f119,plain,
! [X2,X0,X1] :
( apply(X0,sK4(X0,X1,X2),sK6(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f120,plain,
! [X2,X0,X1] :
( apply(X0,sK4(X0,X1,X2),sK5(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
! [X2,X0,X1] :
( sK5(X0,X1,X2) != sK6(X0,X1,X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ maps(X0,X1,X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f123,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| apply(X0,X5,sK8(X0,X2,X5)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f124,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| member(sK8(X0,X2,X5),X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f125,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X1)
| maps(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f126,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(f127,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK9(X0,X1,X3,X5,X6),X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK9(X0,X1,X3,X5,X6))
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK9(X0,X1,X3,X5,X6),X3)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ apply(X1,X5,X7)
| ~ member(X7,X3)
| apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ apply(X0,X7,X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f147,plain,
maps(sK15,sK17,sK18),
inference(cnf_transformation,[],[f88]) ).
fof(f148,plain,
maps(sK14,sK16,sK17),
inference(cnf_transformation,[],[f88]) ).
fof(f149,plain,
~ maps(compose_function(sK15,sK14,sK16,sK17,sK18),sK16,sK18),
inference(cnf_transformation,[],[f88]) ).
fof(f153,definition,
sF19 = compose_function(sK15,sK14,sK16,sK17,sK18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f154,plain,
compose_function(sK15,sK14,sK16,sK17,sK18) = sF19,
inference(reorient_equations,[],[f153]) ).
fof(f155,plain,
~ maps(sF19,sK16,sK18),
inference(definition_folding,[],[f149,f154]) ).
fof(f156,plain,
sP0(sK15,sK17,sK18),
inference(resolution,[],[f147,f122]) ).
fof(f157,plain,
sP0(sK14,sK16,sK17),
inference(resolution,[],[f148,f122]) ).
fof(f158,plain,
! [X0,X1] :
( member(sK9(sK15,sK14,sK17,X0,X1),sK17)
| ~ apply(sF19,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(superposition,[],[f129,f154]) ).
fof(f159,plain,
! [X0] :
( member(sK8(sK15,sK18,X0),sK18)
| ~ member(X0,sK17) ),
inference(resolution,[],[f124,f147]) ).
fof(f160,plain,
! [X0] :
( member(sK8(sK14,sK17,X0),sK17)
| ~ member(X0,sK16) ),
inference(resolution,[],[f124,f148]) ).
fof(f161,plain,
! [X0] :
( apply(sK15,X0,sK8(sK15,sK18,X0))
| ~ member(X0,sK17) ),
inference(resolution,[],[f123,f147]) ).
fof(f162,plain,
! [X0] :
( apply(sK14,X0,sK8(sK14,sK17,X0))
| ~ member(X0,sK16) ),
inference(resolution,[],[f123,f148]) ).
fof(f165,plain,
! [X0,X1] :
( apply(sK14,X0,sK9(sK15,sK14,sK17,X0,X1))
| ~ apply(sF19,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(superposition,[],[f128,f154]) ).
fof(f167,plain,
! [X0,X1] :
( apply(sK15,sK9(sK15,sK14,sK17,X0,X1),X1)
| ~ apply(sF19,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(superposition,[],[f127,f154]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4,X5] :
( apply(compose_function(X2,sK14,X3,X1,X4),X0,X5)
| ~ member(sK8(sK14,sK17,X0),X1)
| ~ apply(X2,sK8(sK14,sK17,X0),X5)
| ~ member(X0,X3)
| ~ member(X5,X4)
| ~ member(X0,sK16) ),
inference(resolution,[],[f130,f162]) ).
fof(f182,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,[],[f115,f157]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ apply(sK15,X0,X2)
| ~ apply(sK15,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| ~ member(X2,sK18)
| X1 = X2 ),
inference(resolution,[],[f115,f156]) ).
fof(f184,plain,
! [X0,X1] :
( ~ apply(sK15,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| ~ member(sK8(sK15,sK18,X0),sK18)
| sK8(sK15,sK18,X0) = X1
| ~ member(X0,sK17) ),
inference(resolution,[],[f183,f161]) ).
fof(f187,plain,
! [X0,X1] :
( ~ apply(sK15,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| ~ member(sK8(sK15,sK18,X0),sK18)
| sK8(sK15,sK18,X0) = X1 ),
inference(duplicate_literal_removal,[],[f184]) ).
fof(f189,plain,
! [X0,X1] :
( ~ apply(sK15,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK8(sK15,sK18,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f187,f159]) ).
fof(f191,plain,
! [X0,X1] :
( ~ member(sK9(sK15,sK14,sK17,X0,X1),sK17)
| ~ member(X1,sK18)
| sK8(sK15,sK18,sK9(sK15,sK14,sK17,X0,X1)) = X1
| ~ apply(sF19,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(resolution,[],[f189,f167]) ).
fof(f192,plain,
! [X0,X1] :
( ~ member(sK9(sK15,sK14,sK17,X0,X1),sK17)
| ~ member(X1,sK18)
| sK8(sK15,sK18,sK9(sK15,sK14,sK17,X0,X1)) = X1
| ~ apply(sF19,X0,X1)
| ~ member(X0,sK16) ),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f194,plain,
! [X0,X1] :
( ~ apply(sF19,X0,X1)
| sK8(sK15,sK18,sK9(sK15,sK14,sK17,X0,X1)) = X1
| ~ member(X1,sK18)
| ~ member(X0,sK16) ),
inference(forward_subsumption_resolution,[],[f192,f158]) ).
fof(f195,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,[],[f182,f162]) ).
fof(f198,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,[],[f195]) ).
fof(f200,plain,
! [X0,X1] :
( ~ apply(sK14,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK17)
| sK8(sK14,sK17,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f198,f160]) ).
fof(f202,plain,
! [X0,X1] :
( ~ member(X0,sK16)
| ~ member(sK9(sK15,sK14,sK17,X0,X1),sK17)
| sK9(sK15,sK14,sK17,X0,X1) = sK8(sK14,sK17,X0)
| ~ apply(sF19,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(resolution,[],[f200,f165]) ).
fof(f203,plain,
! [X0,X1] :
( ~ member(X0,sK16)
| ~ member(sK9(sK15,sK14,sK17,X0,X1),sK17)
| sK9(sK15,sK14,sK17,X0,X1) = sK8(sK14,sK17,X0)
| ~ apply(sF19,X0,X1)
| ~ member(X1,sK18) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f205,plain,
! [X0,X1] :
( ~ apply(sF19,X0,X1)
| sK9(sK15,sK14,sK17,X0,X1) = sK8(sK14,sK17,X0)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(forward_subsumption_resolution,[],[f203,f158]) ).
fof(f217,plain,
! [X0,X1] :
( ~ member(sK6(sF19,X0,X1),sK18)
| sK9(sK15,sK14,sK17,sK4(sF19,X0,X1),sK6(sF19,X0,X1)) = sK8(sK14,sK17,sK4(sF19,X0,X1))
| ~ member(sK4(sF19,X0,X1),sK16)
| sP0(sF19,X0,X1) ),
inference(resolution,[],[f119,f205]) ).
fof(f219,plain,
! [X0,X1] :
( ~ member(sK6(sF19,X0,X1),sK18)
| sK6(sF19,X0,X1) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,X0,X1),sK6(sF19,X0,X1)))
| sP0(sF19,X0,X1)
| ~ member(sK4(sF19,X0,X1),sK16) ),
inference(resolution,[],[f119,f194]) ).
fof(f226,plain,
! [X0] :
( sK6(sF19,X0,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK6(sF19,X0,sK18)))
| sP0(sF19,X0,sK18)
| ~ member(sK4(sF19,X0,sK18),sK16)
| sP0(sF19,X0,sK18) ),
inference(resolution,[],[f219,f116]) ).
fof(f227,plain,
! [X0] :
( ~ member(sK4(sF19,X0,sK18),sK16)
| sP0(sF19,X0,sK18)
| sK6(sF19,X0,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK6(sF19,X0,sK18))) ),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f228,plain,
( sP0(sF19,sK16,sK18)
| sK6(sF19,sK16,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK6(sF19,sK16,sK18)))
| sP0(sF19,sK16,sK18) ),
inference(resolution,[],[f227,f118]) ).
fof(f229,plain,
( sP0(sF19,sK16,sK18)
| sK6(sF19,sK16,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK6(sF19,sK16,sK18))) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f231,definition,
( spl20_1
<=> sK6(sF19,sK16,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK6(sF19,sK16,sK18))) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f233,plain,
( sK6(sF19,sK16,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK6(sF19,sK16,sK18)))
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl20_2
<=> sP0(sF19,sK16,sK18) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f236,plain,
( ~ sP0(sF19,sK16,sK18)
| spl20_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( sP0(sF19,sK16,sK18)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f229,f235,f231]) ).
fof(f241,plain,
! [X0] :
( sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK6(sF19,X0,sK18)) = sK8(sK14,sK17,sK4(sF19,X0,sK18))
| ~ member(sK4(sF19,X0,sK18),sK16)
| sP0(sF19,X0,sK18)
| sP0(sF19,X0,sK18) ),
inference(resolution,[],[f217,f116]) ).
fof(f242,plain,
! [X0] :
( ~ member(sK4(sF19,X0,sK18),sK16)
| sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK6(sF19,X0,sK18)) = sK8(sK14,sK17,sK4(sF19,X0,sK18))
| sP0(sF19,X0,sK18) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f243,plain,
( sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK6(sF19,sK16,sK18)) = sK8(sK14,sK17,sK4(sF19,sK16,sK18))
| sP0(sF19,sK16,sK18)
| sP0(sF19,sK16,sK18) ),
inference(resolution,[],[f242,f118]) ).
fof(f244,plain,
( sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK6(sF19,sK16,sK18)) = sK8(sK14,sK17,sK4(sF19,sK16,sK18))
| sP0(sF19,sK16,sK18) ),
inference(duplicate_literal_removal,[],[f243]) ).
fof(f254,plain,
! [X0,X1] :
( ~ member(sK5(sF19,X0,X1),sK18)
| sK8(sK14,sK17,sK4(sF19,X0,X1)) = sK9(sK15,sK14,sK17,sK4(sF19,X0,X1),sK5(sF19,X0,X1))
| ~ member(sK4(sF19,X0,X1),sK16)
| sP0(sF19,X0,X1) ),
inference(resolution,[],[f120,f205]) ).
fof(f256,plain,
! [X0,X1] :
( ~ member(sK5(sF19,X0,X1),sK18)
| sK5(sF19,X0,X1) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,X0,X1),sK5(sF19,X0,X1)))
| sP0(sF19,X0,X1)
| ~ member(sK4(sF19,X0,X1),sK16) ),
inference(resolution,[],[f120,f194]) ).
fof(f273,plain,
! [X0] :
( sK5(sF19,X0,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK5(sF19,X0,sK18)))
| sP0(sF19,X0,sK18)
| ~ member(sK4(sF19,X0,sK18),sK16)
| sP0(sF19,X0,sK18) ),
inference(resolution,[],[f256,f117]) ).
fof(f274,plain,
! [X0] :
( ~ member(sK4(sF19,X0,sK18),sK16)
| sP0(sF19,X0,sK18)
| sK5(sF19,X0,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK5(sF19,X0,sK18))) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f275,plain,
! [X0] :
( sK8(sK14,sK17,sK4(sF19,X0,sK18)) = sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK5(sF19,X0,sK18))
| ~ member(sK4(sF19,X0,sK18),sK16)
| sP0(sF19,X0,sK18)
| sP0(sF19,X0,sK18) ),
inference(resolution,[],[f254,f117]) ).
fof(f276,plain,
! [X0] :
( ~ member(sK4(sF19,X0,sK18),sK16)
| sK8(sK14,sK17,sK4(sF19,X0,sK18)) = sK9(sK15,sK14,sK17,sK4(sF19,X0,sK18),sK5(sF19,X0,sK18))
| sP0(sF19,X0,sK18) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f294,plain,
! [X0,X1] :
( apply(sF19,X0,X1)
| ~ member(sK8(sK14,sK17,X0),sK17)
| ~ apply(sK15,sK8(sK14,sK17,X0),X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18)
| ~ member(X0,sK16) ),
inference(superposition,[],[f169,f154]) ).
fof(f295,plain,
! [X0,X1] :
( apply(sF19,X0,X1)
| ~ member(sK8(sK14,sK17,X0),sK17)
| ~ apply(sK15,sK8(sK14,sK17,X0),X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f299,plain,
! [X0,X1] :
( ~ apply(sK15,sK8(sK14,sK17,X0),X1)
| apply(sF19,X0,X1)
| ~ member(X0,sK16)
| ~ member(X1,sK18) ),
inference(forward_subsumption_resolution,[],[f295,f160]) ).
fof(f300,plain,
! [X0] :
( apply(sF19,X0,sK8(sK15,sK18,sK8(sK14,sK17,X0)))
| ~ member(X0,sK16)
| ~ member(sK8(sK15,sK18,sK8(sK14,sK17,X0)),sK18)
| ~ member(sK8(sK14,sK17,X0),sK17) ),
inference(resolution,[],[f299,f161]) ).
fof(f301,plain,
! [X0] :
( apply(sF19,X0,sK8(sK15,sK18,sK8(sK14,sK17,X0)))
| ~ member(X0,sK16)
| ~ member(sK8(sK15,sK18,sK8(sK14,sK17,X0)),sK18) ),
inference(forward_subsumption_resolution,[],[f300,f160]) ).
fof(f381,plain,
! [X0,X1] :
( ~ member(sK8(sK15,sK18,sK8(sK14,sK17,sK7(sF19,X0,X1))),sK18)
| ~ member(sK7(sF19,X0,X1),sK16)
| ~ member(sK8(sK15,sK18,sK8(sK14,sK17,sK7(sF19,X0,X1))),X1)
| maps(sF19,X0,X1)
| ~ sP0(sF19,X0,X1) ),
inference(resolution,[],[f301,f126]) ).
fof(f393,plain,
! [X0,X1] :
( ~ member(sK7(sF19,X0,X1),sK16)
| ~ member(sK8(sK15,sK18,sK8(sK14,sK17,sK7(sF19,X0,X1))),X1)
| maps(sF19,X0,X1)
| ~ sP0(sF19,X0,X1)
| ~ member(sK8(sK14,sK17,sK7(sF19,X0,X1)),sK17) ),
inference(resolution,[],[f381,f159]) ).
fof(f394,plain,
! [X0,X1] :
( ~ member(sK8(sK15,sK18,sK8(sK14,sK17,sK7(sF19,X0,X1))),X1)
| ~ member(sK7(sF19,X0,X1),sK16)
| maps(sF19,X0,X1)
| ~ sP0(sF19,X0,X1) ),
inference(forward_subsumption_resolution,[],[f393,f160]) ).
fof(f395,plain,
! [X0] :
( ~ member(sK7(sF19,X0,sK18),sK16)
| maps(sF19,X0,sK18)
| ~ sP0(sF19,X0,sK18)
| ~ member(sK8(sK14,sK17,sK7(sF19,X0,sK18)),sK17) ),
inference(resolution,[],[f394,f159]) ).
fof(f396,plain,
! [X0] :
( ~ member(sK7(sF19,X0,sK18),sK16)
| maps(sF19,X0,sK18)
| ~ sP0(sF19,X0,sK18) ),
inference(forward_subsumption_resolution,[],[f395,f160]) ).
fof(f397,plain,
( maps(sF19,sK16,sK18)
| ~ sP0(sF19,sK16,sK18)
| maps(sF19,sK16,sK18)
| ~ sP0(sF19,sK16,sK18) ),
inference(resolution,[],[f396,f125]) ).
fof(f400,plain,
( maps(sF19,sK16,sK18)
| ~ sP0(sF19,sK16,sK18) ),
inference(duplicate_literal_removal,[],[f397]) ).
fof(f402,plain,
~ sP0(sF19,sK16,sK18),
inference(forward_subsumption_resolution,[],[f400,f155]) ).
fof(f403,plain,
( $false
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f402,f237]) ).
fof(f404,plain,
~ spl20_2,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f405,plain,
( sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK6(sF19,sK16,sK18)) = sK8(sK14,sK17,sK4(sF19,sK16,sK18))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f244,f236]) ).
fof(f451,plain,
( sK6(sF19,sK16,sK18) = sK8(sK15,sK18,sK8(sK14,sK17,sK4(sF19,sK16,sK18)))
| ~ spl20_1
| spl20_2 ),
inference(superposition,[],[f233,f405]) ).
fof(f487,plain,
( sP0(sF19,sK16,sK18)
| sK5(sF19,sK16,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK5(sF19,sK16,sK18)))
| sP0(sF19,sK16,sK18) ),
inference(resolution,[],[f274,f118]) ).
fof(f490,plain,
( sP0(sF19,sK16,sK18)
| sK5(sF19,sK16,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK5(sF19,sK16,sK18))) ),
inference(duplicate_literal_removal,[],[f487]) ).
fof(f491,plain,
( sK5(sF19,sK16,sK18) = sK8(sK15,sK18,sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK5(sF19,sK16,sK18)))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f490,f236]) ).
fof(f510,plain,
( sK8(sK14,sK17,sK4(sF19,sK16,sK18)) = sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK5(sF19,sK16,sK18))
| sP0(sF19,sK16,sK18)
| sP0(sF19,sK16,sK18) ),
inference(resolution,[],[f276,f118]) ).
fof(f513,plain,
( sK8(sK14,sK17,sK4(sF19,sK16,sK18)) = sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK5(sF19,sK16,sK18))
| sP0(sF19,sK16,sK18) ),
inference(duplicate_literal_removal,[],[f510]) ).
fof(f514,plain,
( sK8(sK14,sK17,sK4(sF19,sK16,sK18)) = sK9(sK15,sK14,sK17,sK4(sF19,sK16,sK18),sK5(sF19,sK16,sK18))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f513,f236]) ).
fof(f516,plain,
( sK8(sK15,sK18,sK8(sK14,sK17,sK4(sF19,sK16,sK18))) = sK5(sF19,sK16,sK18)
| spl20_2 ),
inference(superposition,[],[f491,f514]) ).
fof(f523,plain,
( sK6(sF19,sK16,sK18) = sK5(sF19,sK16,sK18)
| ~ spl20_1
| spl20_2 ),
inference(forward_demodulation,[],[f516,f451]) ).
fof(f546,plain,
( sK5(sF19,sK16,sK18) != sK5(sF19,sK16,sK18)
| sP0(sF19,sK16,sK18)
| ~ spl20_1
| spl20_2 ),
inference(superposition,[],[f121,f523]) ).
fof(f548,plain,
( sP0(sF19,sK16,sK18)
| ~ spl20_1
| spl20_2 ),
inference(trivial_inequality_removal,[],[f546]) ).
fof(f549,plain,
( $false
| ~ spl20_1
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f548,f236]) ).
fof(f550,plain,
( ~ spl20_1
| spl20_2 ),
inference(avatar_contradiction_clause,[],[f549]) ).
cnf(s1,plain,
( spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f238]) ).
cnf(s2,plain,
~ spl20_2,
inference(sat_conversion,[],[f404]) ).
cnf(s15,plain,
( ~ spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f550]) ).
cnf(s19,plain,
~ spl20_1,
inference(rat,[],[s15,s2]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s2,s19]) ).
fof(f555,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET709+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 02:36:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.29/1.54 % (2966885)Detected formulas, will run a generic FOF schedule.
% 4.29/1.54 % (2966890)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=3532524631:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.29/1.54 % (2966896)dis-21_1_sil=8000:lcm=predicate:random_seed=3565620984: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)
% 4.29/1.54 % (2966893)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3707748147:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.29/1.54 % (2966891)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=4219018082:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.29/1.54 % (2966894)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2285157296:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.29/1.54 % (2966892)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=908413146:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.29/1.54 % (2966895)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1509569808:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.29/1.54 % (2966893)Refutation not found, incomplete strategy
% 4.29/1.54 % (2966893)------------------------------
% 4.29/1.54 % (2966893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.54 % (2966893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.54 % (2966893)CaDiCaL version: 2.1.3
% 4.29/1.54 % (2966893)Termination reason: Refutation not found, incomplete strategy
% 4.29/1.54 % (2966893)Time elapsed: 0.006 s
% 4.29/1.54 % (2966893)Peak memory usage: 88 MB
% 4.29/1.54 % (2966893)Instructions burned: 9 (million)
% 4.29/1.54 % (2966896)Instruction limit reached!
% 4.29/1.54 % (2966896)------------------------------
% 4.29/1.54 % (2966896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.54 % (2966896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.54 % (2966896)CaDiCaL version: 2.1.3
% 4.29/1.54 % (2966896)Termination reason: Instruction limit
% 4.29/1.54 % (2966896)Termination phase: Saturation
% 4.29/1.54 % (2966896)Time elapsed: 0.054 s
% 4.29/1.54 % (2966896)Peak memory usage: 89 MB
% 4.29/1.54 % (2966896)Instructions burned: 130 (million)
% 4.29/1.54 % (2966894)Instruction limit reached!
% 4.29/1.54 % (2966894)------------------------------
% 4.29/1.54 % (2966894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.54 % (2966894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.54 % (2966894)CaDiCaL version: 2.1.3
% 4.29/1.54 % (2966894)Termination reason: Instruction limit
% 4.29/1.54 % (2966894)Termination phase: Saturation
% 4.29/1.54 % (2966894)Time elapsed: 0.065 s
% 4.29/1.54 % (2966894)Peak memory usage: 88 MB
% 4.29/1.54 % (2966894)Instructions burned: 120 (million)
% 4.29/1.54 % (2966895)Instruction limit reached!
% 4.29/1.54 % (2966895)------------------------------
% 4.29/1.54 % (2966895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.54 % (2966895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.54 % (2966895)CaDiCaL version: 2.1.3
% 4.29/1.54 % (2966895)Termination reason: Instruction limit
% 4.29/1.54 % (2966895)Termination phase: Saturation
% 4.29/1.54 % (2966895)Time elapsed: 0.095 s
% 4.29/1.54 % (2966895)Peak memory usage: 89 MB
% 4.29/1.54 % (2966895)Instructions burned: 140 (million)
% 4.29/1.54 % (2966904)lrs+10_1_sil=8000:sp=occurrence:random_seed=679552207:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.29/1.54 % (2966905)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1788255662:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.29/1.54 % (2966905)Refutation not found, incomplete strategy
% 4.29/1.54 % (2966905)------------------------------
% 4.29/1.54 % (2966905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.54 % (2966905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.54 % (2966905)CaDiCaL version: 2.1.3
% 4.29/1.54 % (2966905)Termination reason: Refutation not found, incomplete strategy
% 4.29/1.54 % (2966905)Time elapsed: 0.002 s
% 4.29/1.54 % (2966905)Peak memory usage: 88 MB
% 4.29/1.54 % (2966905)Instructions burned: 2 (million)
% 4.29/1.54 % (2966893)------------------------------
% 4.29/1.54 % (2966893)------------------------------
% 4.29/1.54 % (2966906)lrs+1011_1_sil=32000:sp=occurrence:random_seed=274205605:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.29/1.54 % (2966890)First to succeed.
% 4.29/1.54 % (2966890)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2966885"
% 4.29/1.54 % (2966904)Instruction limit reached!
% 4.29/1.54 % (2966904)------------------------------
% 4.29/1.54 % (2966904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.54 % (2966904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.54 % (2966904)CaDiCaL version: 2.1.3
% 4.29/1.54 % (2966904)Termination reason: Instruction limit
% 4.29/1.54 % (2966904)Termination phase: Saturation
% 4.29/1.54 % (2966904)Time elapsed: 0.158 s
% 4.29/1.54 % (2966904)Peak memory usage: 92 MB
% 4.29/1.54 % (2966904)Instructions burned: 285 (million)
% 4.29/1.54 % (2966909)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=2083553362:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.29/1.54 % (2966906)Instruction limit reached!
% 4.29/1.54 % (2966906)------------------------------
% 4.29/1.54 % (2966906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.54 % (2966906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.54 % (2966906)CaDiCaL version: 2.1.3
% 4.29/1.54 % (2966906)Termination reason: Instruction limit
% 4.29/1.54 % (2966906)Termination phase: Saturation
% 4.29/1.54 % (2966906)Time elapsed: 0.203 s
% 4.29/1.54 % (2966906)Peak memory usage: 92 MB
% 4.29/1.54 % (2966906)Instructions burned: 326 (million)
% 4.29/1.54 % (2966905)------------------------------
% 4.29/1.54 % (2966905)------------------------------
% 4.29/1.54 % (2966890)Refutation found. Thanks to Tanya!
% 4.29/1.54 % SZS status Theorem for theBenchmark
% 4.29/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.40/1.64 % (2966890)------------------------------
% 5.40/1.64 % (2966890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.64 % (2966890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.64 % (2966890)CaDiCaL version: 2.1.3
% 5.40/1.64 % (2966890)Termination reason: Refutation
% 5.40/1.64 % (2966890)Time elapsed: 0.407 s
% 5.40/1.64 % (2966890)Peak memory usage: 130 MB
% 5.40/1.64 % (2966890)Instructions burned: 1040 (million)
% 5.40/1.64 % (2966890)------------------------------
% 5.40/1.64 % (2966890)------------------------------
% 5.40/1.64 % (2966885)Success in time 0.69 s
% 5.40/1.64 % Vampire exiting
%------------------------------------------------------------------------------