%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET732+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:44:31 PM UTC 2026
% Result : Theorem 46.55s 11.13s
% Output : Refutation 46.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 8
% Syntax : Number of formulae : 108 ( 13 unt; 2 def)
% Number of atoms : 401 ( 31 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 451 ( 158 ~; 196 |; 72 &)
% ( 14 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 260 ( 0 sgn 231 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(f18,axiom,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(f19,axiom,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
<=> ( injective(X0,X1,X2)
& surjective(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',one_to_one) ).
fof(f22,axiom,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',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) ) )
& injective(X0,X2,X3) )
=> one_to_one(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII23) ).
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) ) )
& injective(X0,X2,X3) )
=> one_to_one(X1,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
& surjective(X0,X1,X2) )
=> one_to_one(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) )
=> surjective(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f35,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f41,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f42,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) )
& member(X3,X2) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f45,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
? [X0,X1,X2,X3,X4] :
( ~ one_to_one(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) )
& injective(X0,X2,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f49,plain,
? [X0,X1,X2,X3,X4] :
( ~ one_to_one(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) )
& injective(X0,X2,X3) ),
inference(flattening,[],[f48]) ).
fof(f55,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f56,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,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f56]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) )
& ( ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ( sK8(X0,X1,X2) != sK9(X0,X1,X2)
& apply(X0,sK8(X0,X1,X2),sK10(X0,X1,X2))
& apply(X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
& member(sK8(X0,X1,X2),X1)
& member(sK9(X0,X1,X2),X1)
& member(sK10(X0,X1,X2),X2) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X4,sK9(X0,X1,X2)),skolemize(X5,sK10(X0,X1,X2))],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,sK11(X0,X1,X2)) )
& member(sK11(X0,X1,X2),X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f43]) ).
fof(f88,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(f89,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,[],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ( member(sK12(X0,X1,X2),X1)
& apply(X0,sK12(X0,X1,X2),X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X4,sK12(X0,X1,X2))],[f89]) ).
fof(f102,plain,
? [X0,X1,X2,X3,X4] :
( ~ one_to_one(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) )
& injective(X0,X2,X3) ),
inference(nnf_transformation,[],[f49]) ).
fof(f103,plain,
( ~ one_to_one(sK17,sK18,sK20)
& maps(sK16,sK18,sK19)
& subset(sK20,sK19)
& sK20 = image2(sK16,sK18)
& ! [X5,X6] :
( ( ( apply(sK17,X5,X6)
| ~ apply(sK16,X5,X6) )
& ( apply(sK16,X5,X6)
| ~ apply(sK17,X5,X6) ) )
| ~ member(X5,sK18)
| ~ member(X6,sK20) )
& injective(sK16,sK18,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20]),skolemize(X0,sK16),skolemize(X1,sK17),skolemize(X2,sK18),skolemize(X3,sK19),skolemize(X4,sK20)],[f102]) ).
fof(f104,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f105,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f106,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f141,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ injective(X0,X1,X2)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2)
| X6 = X7 ),
inference(cnf_transformation,[],[f85]) ).
fof(f142,plain,
! [X2,X0,X1] :
( member(sK10(X0,X1,X2),X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f143,plain,
! [X2,X0,X1] :
( member(sK9(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f144,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f145,plain,
! [X2,X0,X1] :
( apply(X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f146,plain,
! [X2,X0,X1] :
( apply(X0,sK8(X0,X1,X2),sK10(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sK8(X0,X1,X2) != sK9(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f148,plain,
! [X2,X0,X1] :
( member(sK11(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f149,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK11(X0,X1,X2))
| ~ member(X4,X1)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2)
| one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| apply(X0,sK12(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| member(sK12(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f167,plain,
injective(sK16,sK18,sK19),
inference(cnf_transformation,[],[f103]) ).
fof(f168,plain,
! [X6,X5] :
( ~ member(X6,sK20)
| ~ apply(sK17,X5,X6)
| ~ member(X5,sK18)
| apply(sK16,X5,X6) ),
inference(cnf_transformation,[],[f103]) ).
fof(f169,plain,
! [X6,X5] :
( ~ member(X6,sK20)
| ~ apply(sK16,X5,X6)
| ~ member(X5,sK18)
| apply(sK17,X5,X6) ),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
sK20 = image2(sK16,sK18),
inference(cnf_transformation,[],[f103]) ).
fof(f171,plain,
subset(sK20,sK19),
inference(cnf_transformation,[],[f103]) ).
fof(f173,plain,
~ one_to_one(sK17,sK18,sK20),
inference(cnf_transformation,[],[f103]) ).
fof(f177,plain,
! [X0,X1] :
( apply(sK17,X1,sK3(sK20,X0))
| ~ apply(sK16,X1,sK3(sK20,X0))
| ~ member(X1,sK18)
| subset(sK20,X0) ),
inference(resolution,[],[f105,f169]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ apply(sK17,X2,sK10(X0,X1,sK20))
| injective(X0,X1,sK20)
| ~ member(X2,sK18)
| apply(sK16,X2,sK10(X0,X1,sK20)) ),
inference(resolution,[],[f142,f168]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( ~ subset(X2,X3)
| member(sK10(X0,X1,X2),X3)
| injective(X0,X1,X2) ),
inference(resolution,[],[f142,f104]) ).
fof(f199,plain,
! [X2,X0,X1] :
( member(sK12(X0,X1,sK3(image2(X0,X1),X2)),X1)
| subset(image2(X0,X1),X2) ),
inference(resolution,[],[f154,f105]) ).
fof(f207,plain,
! [X2,X0,X1] :
( apply(X0,sK12(X0,X1,sK3(image2(X0,X1),X2)),sK3(image2(X0,X1),X2))
| subset(image2(X0,X1),X2) ),
inference(resolution,[],[f153,f105]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ apply(sK16,X0,sK3(sK20,X2))
| member(sK3(sK20,X2),image2(sK17,X1))
| ~ member(X0,X1)
| ~ member(X0,sK18)
| subset(sK20,X2) ),
inference(resolution,[],[f155,f177]) ).
fof(f221,plain,
! [X0] :
( injective(sK17,X0,sK20)
| injective(sK17,X0,sK20)
| ~ member(sK9(sK17,X0,sK20),sK18)
| apply(sK16,sK9(sK17,X0,sK20),sK10(sK17,X0,sK20)) ),
inference(resolution,[],[f145,f186]) ).
fof(f223,plain,
! [X0] :
( apply(sK16,sK9(sK17,X0,sK20),sK10(sK17,X0,sK20))
| ~ member(sK9(sK17,X0,sK20),sK18)
| injective(sK17,X0,sK20) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f225,plain,
! [X0] :
( injective(sK17,X0,sK20)
| injective(sK17,X0,sK20)
| ~ member(sK8(sK17,X0,sK20),sK18)
| apply(sK16,sK8(sK17,X0,sK20),sK10(sK17,X0,sK20)) ),
inference(resolution,[],[f146,f186]) ).
fof(f227,plain,
! [X0] :
( apply(sK16,sK8(sK17,X0,sK20),sK10(sK17,X0,sK20))
| ~ member(sK8(sK17,X0,sK20),sK18)
| injective(sK17,X0,sK20) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ member(X1,sK19)
| ~ apply(sK16,X2,X1)
| ~ member(X0,sK18)
| ~ member(X2,sK18)
| ~ apply(sK16,X0,X1)
| X0 = X2 ),
inference(resolution,[],[f141,f167]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ subset(X2,X3)
| member(sK11(X0,X1,X2),X3)
| surjective(X0,X1,X2) ),
inference(resolution,[],[f148,f104]) ).
fof(f258,plain,
! [X0,X1] :
( member(sK10(X0,X1,sK20),sK19)
| injective(X0,X1,sK20) ),
inference(resolution,[],[f188,f171]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( ~ apply(sK16,X3,sK10(X0,X1,sK20))
| ~ apply(sK16,X2,sK10(X0,X1,sK20))
| ~ member(X3,sK18)
| ~ member(X2,sK18)
| injective(X0,X1,sK20)
| X2 = X3 ),
inference(resolution,[],[f258,f234]) ).
fof(f286,plain,
! [X0] :
( member(sK12(sK16,sK18,sK3(sK20,X0)),sK18)
| subset(sK20,X0) ),
inference(superposition,[],[f199,f170]) ).
fof(f346,plain,
! [X0] :
( apply(sK16,sK12(sK16,sK18,sK3(sK20,X0)),sK3(sK20,X0))
| subset(sK20,X0) ),
inference(superposition,[],[f207,f170]) ).
fof(f381,plain,
! [X0,X1] :
( member(sK3(sK20,X0),image2(sK17,X1))
| ~ member(sK12(sK16,sK18,sK3(sK20,X0)),X1)
| ~ member(sK12(sK16,sK18,sK3(sK20,X0)),sK18)
| subset(sK20,X0)
| subset(sK20,X0) ),
inference(resolution,[],[f212,f346]) ).
fof(f383,plain,
! [X0,X1] :
( member(sK3(sK20,X0),image2(sK17,X1))
| ~ member(sK12(sK16,sK18,sK3(sK20,X0)),X1)
| ~ member(sK12(sK16,sK18,sK3(sK20,X0)),sK18)
| subset(sK20,X0) ),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f385,plain,
! [X0,X1] :
( ~ member(sK12(sK16,sK18,sK3(sK20,X0)),X1)
| member(sK3(sK20,X0),image2(sK17,X1))
| subset(sK20,X0) ),
inference(global_subsumption,[],[f383,f286]) ).
fof(f470,plain,
! [X0] :
( member(sK3(sK20,X0),image2(sK17,sK18))
| subset(sK20,X0)
| subset(sK20,X0) ),
inference(resolution,[],[f385,f286]) ).
fof(f472,plain,
! [X0] :
( member(sK3(sK20,X0),image2(sK17,sK18))
| subset(sK20,X0) ),
inference(duplicate_literal_removal,[],[f470]) ).
fof(f474,plain,
( subset(sK20,image2(sK17,sK18))
| subset(sK20,image2(sK17,sK18)) ),
inference(resolution,[],[f472,f106]) ).
fof(f478,plain,
subset(sK20,image2(sK17,sK18)),
inference(duplicate_literal_removal,[],[f474]) ).
fof(f606,plain,
! [X0,X1] :
( member(sK11(X0,X1,sK20),image2(sK17,sK18))
| surjective(X0,X1,sK20) ),
inference(resolution,[],[f242,f478]) ).
fof(f621,plain,
! [X0,X1] :
( apply(sK17,sK12(sK17,sK18,sK11(X0,X1,sK20)),sK11(X0,X1,sK20))
| surjective(X0,X1,sK20) ),
inference(resolution,[],[f606,f153]) ).
fof(f622,plain,
! [X0,X1] :
( member(sK12(sK17,sK18,sK11(X0,X1,sK20)),sK18)
| surjective(X0,X1,sK20) ),
inference(resolution,[],[f606,f154]) ).
fof(f836,plain,
! [X0] :
( surjective(sK17,X0,sK20)
| ~ member(sK12(sK17,sK18,sK11(sK17,X0,sK20)),X0)
| surjective(sK17,X0,sK20) ),
inference(resolution,[],[f621,f149]) ).
fof(f838,plain,
! [X0] :
( ~ member(sK12(sK17,sK18,sK11(sK17,X0,sK20)),X0)
| surjective(sK17,X0,sK20) ),
inference(duplicate_literal_removal,[],[f836]) ).
fof(f845,plain,
( surjective(sK17,sK18,sK20)
| surjective(sK17,sK18,sK20) ),
inference(resolution,[],[f838,f622]) ).
fof(f846,plain,
surjective(sK17,sK18,sK20),
inference(duplicate_literal_removal,[],[f845]) ).
fof(f852,plain,
( ~ injective(sK17,sK18,sK20)
| one_to_one(sK17,sK18,sK20) ),
inference(resolution,[],[f846,f150]) ).
fof(f853,plain,
~ injective(sK17,sK18,sK20),
inference(global_subsumption,[],[f852,f173]) ).
fof(f939,plain,
! [X0,X1] :
( ~ apply(sK16,X0,sK10(sK17,X1,sK20))
| ~ member(sK8(sK17,X1,sK20),sK18)
| ~ member(X0,sK18)
| injective(sK17,X1,sK20)
| sK8(sK17,X1,sK20) = X0
| ~ member(sK8(sK17,X1,sK20),sK18)
| injective(sK17,X1,sK20) ),
inference(resolution,[],[f260,f227]) ).
fof(f946,plain,
! [X0,X1] :
( ~ member(sK8(sK17,X1,sK20),sK18)
| ~ apply(sK16,X0,sK10(sK17,X1,sK20))
| ~ member(X0,sK18)
| injective(sK17,X1,sK20)
| sK8(sK17,X1,sK20) = X0 ),
inference(duplicate_literal_removal,[],[f939]) ).
fof(f1523,plain,
! [X0] :
( ~ apply(sK16,X0,sK10(sK17,sK18,sK20))
| ~ member(X0,sK18)
| injective(sK17,sK18,sK20)
| sK8(sK17,sK18,sK20) = X0
| injective(sK17,sK18,sK20) ),
inference(resolution,[],[f946,f144]) ).
fof(f1524,plain,
! [X0] :
( ~ apply(sK16,X0,sK10(sK17,sK18,sK20))
| ~ member(X0,sK18)
| injective(sK17,sK18,sK20)
| sK8(sK17,sK18,sK20) = X0 ),
inference(duplicate_literal_removal,[],[f1523]) ).
fof(f1525,plain,
! [X0] :
( ~ apply(sK16,X0,sK10(sK17,sK18,sK20))
| ~ member(X0,sK18)
| sK8(sK17,sK18,sK20) = X0 ),
inference(global_subsumption,[],[f1524,f853]) ).
fof(f1528,plain,
( ~ member(sK9(sK17,sK18,sK20),sK18)
| sK9(sK17,sK18,sK20) = sK8(sK17,sK18,sK20)
| ~ member(sK9(sK17,sK18,sK20),sK18)
| injective(sK17,sK18,sK20) ),
inference(resolution,[],[f1525,f223]) ).
fof(f1531,plain,
( ~ member(sK9(sK17,sK18,sK20),sK18)
| sK9(sK17,sK18,sK20) = sK8(sK17,sK18,sK20)
| injective(sK17,sK18,sK20) ),
inference(duplicate_literal_removal,[],[f1528]) ).
fof(f1532,plain,
( ~ member(sK9(sK17,sK18,sK20),sK18)
| sK9(sK17,sK18,sK20) = sK8(sK17,sK18,sK20) ),
inference(global_subsumption,[],[f1531,f853]) ).
fof(f1548,definition,
( spl21_30
<=> sK9(sK17,sK18,sK20) = sK8(sK17,sK18,sK20) ),
introduced(definition,[new_symbols(definition,[spl21_30])],[avatar_definition]) ).
fof(f1550,plain,
( sK9(sK17,sK18,sK20) = sK8(sK17,sK18,sK20)
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1552,definition,
( spl21_31
<=> member(sK9(sK17,sK18,sK20),sK18) ),
introduced(definition,[new_symbols(definition,[spl21_31])],[avatar_definition]) ).
fof(f1554,plain,
( ~ member(sK9(sK17,sK18,sK20),sK18)
| spl21_31 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1555,plain,
( spl21_30
| ~ spl21_31 ),
inference(avatar_split_clause,[],[f1532,f1552,f1548]) ).
fof(f1560,plain,
( injective(sK17,sK18,sK20)
| spl21_31 ),
inference(resolution,[],[f1554,f143]) ).
fof(f1561,plain,
( $false
| spl21_31 ),
inference(global_subsumption,[],[f1560,f853]) ).
fof(f1562,plain,
spl21_31,
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1601,plain,
( sK8(sK17,sK18,sK20) != sK8(sK17,sK18,sK20)
| injective(sK17,sK18,sK20)
| ~ spl21_30 ),
inference(superposition,[],[f147,f1550]) ).
fof(f1603,plain,
( injective(sK17,sK18,sK20)
| ~ spl21_30 ),
inference(trivial_inequality_removal,[],[f1601]) ).
fof(f1604,plain,
( $false
| ~ spl21_30 ),
inference(global_subsumption,[],[f1603,f853]) ).
fof(f1605,plain,
~ spl21_30,
inference(avatar_contradiction_clause,[],[f1604]) ).
cnf(s826,plain,
( spl21_30
| ~ spl21_31 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s834,plain,
spl21_31,
inference(sat_conversion,[],[f1562]) ).
cnf(s854,plain,
~ spl21_30,
inference(sat_conversion,[],[f1605]) ).
cnf(s856,plain,
$false,
inference(rat,[],[s826,s834,s854]) ).
fof(f1606,plain,
$false,
inference(avatar_sat_refutation,[],[s856]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET732+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n014.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 28 02:39:31 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.28/4.12 % (1383034)Will run a generic schedule for satisfiability detection.
% 25.28/4.12 % (1383045)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1369023342:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 25.28/4.12 % (1383039)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1351525612_2999 on theBenchmark for (2999ds/0Mi)
% 25.28/4.12 % (1383040)% WARNING: option uhcvi not known.
% 25.28/4.12 % TRYING [1]
% 25.28/4.12 % TRYING [2]
% 25.28/4.12 % (1383043)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=445806855:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 25.28/4.12 % (1383042)dis+10_1_sil=32000:sp=arity:random_seed=867771453:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 25.28/4.12 % (1383040)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2433602560:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 25.28/4.12 % (1383044)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3921523917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 25.28/4.12 % TRYING [3]
% 25.28/4.12 % (1383041)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=44843927:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 25.28/4.12 % TRYING [4]
% 25.28/4.12 % (1383045)Instruction limit reached!
% 25.28/4.12 % (1383045)------------------------------
% 25.28/4.12 % (1383045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.12 % (1383045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.12 % (1383045)CaDiCaL version: 2.1.3
% 25.28/4.12 % (1383045)Termination reason: Instruction limit
% 25.28/4.12 % (1383045)Termination phase: Saturation
% 25.28/4.12 % (1383045)Time elapsed: 0.089 s
% 25.28/4.12 % (1383045)Peak memory usage: 14 MB
% 25.28/4.12 % (1383045)Instructions burned: 159 (million)
% 25.28/4.12 % (1383042)Instruction limit reached!
% 25.28/4.12 % (1383042)------------------------------
% 25.28/4.12 % (1383042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.12 % (1383042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.12 % (1383042)CaDiCaL version: 2.1.3
% 25.28/4.12 % (1383042)Termination reason: Instruction limit
% 25.28/4.12 % (1383042)Termination phase: Saturation
% 25.28/4.12 % (1383042)Time elapsed: 0.104 s
% 25.28/4.12 % (1383042)Peak memory usage: 12 MB
% 25.28/4.12 % (1383042)Instructions burned: 104 (million)
% 25.28/4.12 % (1383043)Instruction limit reached!
% 25.28/4.12 % (1383043)------------------------------
% 25.28/4.12 % (1383043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.12 % (1383043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.12 % (1383043)CaDiCaL version: 2.1.3
% 25.28/4.12 % (1383043)Termination reason: Instruction limit
% 25.28/4.12 % (1383043)Termination phase: Saturation
% 25.28/4.12 % (1383043)Time elapsed: 0.110 s
% 25.28/4.12 % (1383043)Peak memory usage: 13 MB
% 25.28/4.12 % (1383043)Instructions burned: 116 (million)
% 25.28/4.12 % (1383053)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1206013819:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 25.28/4.12 % (1383044)Instruction limit reached!
% 25.28/4.12 % (1383044)------------------------------
% 25.28/4.12 % (1383044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.12 % (1383044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/4.12 % (1383044)CaDiCaL version: 2.1.3
% 25.28/4.12 % (1383044)Termination reason: Instruction limit
% 25.28/4.12 % (1383044)Termination phase: Saturation
% 25.28/4.12 % (1383044)Time elapsed: 0.125 s
% 25.28/4.12 % (1383044)Peak memory usage: 13 MB
% 25.28/4.12 % (1383044)Instructions burned: 131 (million)
% 25.28/4.12 % TRYING [1]
% 25.28/4.12 % TRYING [2]
% 25.28/4.12 % TRYING [3]
% 25.28/4.12 % (1383054)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1449965938:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 25.28/4.12 % (1383055)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=702580744:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 25.28/4.12 % (1383057)ott-21_1_sil=16000:fs=off:random_seed=485819333:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 25.28/4.12 % TRYING [4]
% 25.28/4.12 % (1383054)Instruction limit reached!
% 25.28/4.12 % (1383054)------------------------------
% 25.28/4.12 % (1383054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/4.12 % (1383054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.87/9.26 % (1383054)CaDiCaL version: 2.1.3
% 61.87/9.26 % (1383054)Termination reason: Instruction limit
% 61.87/9.26 % (1383054)Termination phase: Saturation
% 61.87/9.26 % (1383054)Time elapsed: 0.140 s
% 61.87/9.26 % (1383054)Peak memory usage: 14 MB
% 61.87/9.26 % (1383054)Instructions burned: 131 (million)
% 61.87/9.26 % (1383061)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2447595451:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 61.87/9.26 % (1383057)Instruction limit reached!
% 61.87/9.26 % (1383057)------------------------------
% 61.87/9.26 % (1383057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.87/9.26 % (1383057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.87/9.26 % (1383057)CaDiCaL version: 2.1.3
% 61.87/9.26 % (1383057)Termination reason: Instruction limit
% 61.87/9.26 % (1383057)Termination phase: Saturation
% 61.87/9.26 % (1383057)Time elapsed: 0.164 s
% 61.87/9.26 % (1383057)Peak memory usage: 13 MB
% 61.87/9.26 % (1383057)Instructions burned: 180 (million)
% 61.87/9.26 % (1383063)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3148292447:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 61.87/9.26 % (1383053)Instruction limit reached!
% 61.87/9.26 % (1383053)------------------------------
% 61.87/9.26 % (1383053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.87/9.26 % (1383053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.87/9.26 % (1383053)CaDiCaL version: 2.1.3
% 61.87/9.26 % (1383053)Termination reason: Instruction limit
% 61.87/9.26 % (1383053)Termination phase: Finite model building constraint generation
% 61.87/9.26 % (1383053)Time elapsed: 0.280 s
% 61.87/9.26 % (1383053)Peak memory usage: 36 MB
% 61.87/9.26 % (1383053)Instructions burned: 714 (million)
% 61.87/9.26 % TRYING [1]
% 61.87/9.26 % TRYING [2]
% 61.87/9.26 % (1383065)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=961681632:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 61.87/9.26 % TRYING [5]
% 61.87/9.26 % TRYING [3]
% 61.87/9.26 % (1383055)Instruction limit reached!
% 61.87/9.26 % (1383055)------------------------------
% 61.87/9.26 % (1383055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.87/9.26 % (1383055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.87/9.26 % (1383055)CaDiCaL version: 2.1.3
% 61.87/9.26 % (1383055)Termination reason: Instruction limit
% 61.87/9.26 % (1383055)Termination phase: Saturation
% 61.87/9.26 % (1383055)Time elapsed: 0.628 s
% 61.87/9.26 % (1383055)Peak memory usage: 18 MB
% 61.87/9.26 % (1383055)Instructions burned: 685 (million)
% 61.87/9.26 % (1383061)Instruction limit reached!
% 61.87/9.26 % (1383061)------------------------------
% 61.87/9.26 % (1383061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.87/9.26 % (1383061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.87/9.26 % (1383061)CaDiCaL version: 2.1.3
% 61.87/9.26 % (1383061)Termination reason: Instruction limit
% 61.87/9.26 % (1383061)Termination phase: Saturation
% 61.87/9.26 % (1383061)Time elapsed: 0.470 s
% 61.87/9.26 % (1383061)Peak memory usage: 15 MB
% 61.87/9.26 % (1383061)Instructions burned: 477 (million)
% 61.87/9.26 % (1383067)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2622450342:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 61.87/9.26 % (1383068)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=683003800:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 61.87/9.26 % (1383065)Instruction limit reached!
% 61.87/9.26 % (1383065)------------------------------
% 61.87/9.26 % (1383065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.87/9.26 % (1383065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.87/9.26 % (1383065)CaDiCaL version: 2.1.3
% 61.87/9.26 % (1383065)Termination reason: Instruction limit
% 61.87/9.26 % (1383065)Termination phase: Saturation
% 61.87/9.26 % (1383065)Time elapsed: 0.625 s
% 61.87/9.26 % (1383065)Peak memory usage: 32 MB
% 61.87/9.26 % (1383065)Instructions burned: 1181 (million)
% 61.87/9.26 % (1383071)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=781958831:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 61.87/9.26 % (1383063)Instruction limit reached!
% 61.87/9.26 % (1383063)------------------------------
% 61.87/9.26 % (1383063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383063)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383063)Termination reason: Instruction limit
% 46.55/11.12 % (1383063)Termination phase: Finite model building SAT solving
% 46.55/11.12 % (1383063)Time elapsed: 0.699 s
% 46.55/11.12 % (1383063)Peak memory usage: 46 MB
% 46.55/11.12 % (1383063)Instructions burned: 865 (million)
% 46.55/11.12 % (1383073)fmb+10_1_sil=64000:random_seed=2865988348:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 46.55/11.12 % TRYING [1]
% 46.55/11.12 % TRYING [2]
% 46.55/11.12 % TRYING [3]
% 46.55/11.12 % TRYING [4]
% 46.55/11.12 % (1383071)Instruction limit reached!
% 46.55/11.12 % (1383071)------------------------------
% 46.55/11.12 % (1383071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383071)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383071)Termination reason: Instruction limit
% 46.55/11.12 % (1383071)Termination phase: Saturation
% 46.55/11.12 % (1383071)Time elapsed: 0.435 s
% 46.55/11.12 % (1383071)Peak memory usage: 20 MB
% 46.55/11.12 % (1383071)Instructions burned: 879 (million)
% 46.55/11.12 % (1383075)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1751618363:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 46.55/11.12 % TRYING [20]
% 46.55/11.12 % (1383068)Instruction limit reached!
% 46.55/11.12 % (1383068)------------------------------
% 46.55/11.12 % (1383068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383068)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383068)Termination reason: Instruction limit
% 46.55/11.12 % (1383068)Termination phase: Saturation
% 46.55/11.12 % (1383068)Time elapsed: 0.705 s
% 46.55/11.12 % (1383068)Peak memory usage: 19 MB
% 46.55/11.12 % (1383068)Instructions burned: 692 (million)
% 46.55/11.12 % (1383077)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=626590946:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 46.55/11.12 % (1383067)Instruction limit reached!
% 46.55/11.12 % (1383067)------------------------------
% 46.55/11.12 % (1383067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383067)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383067)Termination reason: Instruction limit
% 46.55/11.12 % (1383067)Termination phase: Finite model building constraint generation
% 46.55/11.12 % (1383067)Time elapsed: 0.767 s
% 46.55/11.12 % (1383067)Peak memory usage: 107 MB
% 46.55/11.12 % (1383067)Instructions burned: 890 (million)
% 46.55/11.12 % TRYING [8]
% 46.55/11.12 % (1383079)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2561229126:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 46.55/11.12 % (1383077)Instruction limit reached!
% 46.55/11.12 % (1383077)------------------------------
% 46.55/11.12 % (1383077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383077)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383077)Termination reason: Instruction limit
% 46.55/11.12 % (1383077)Termination phase: Finite model building constraint generation
% 46.55/11.12 % (1383077)Time elapsed: 0.473 s
% 46.55/11.12 % (1383077)Peak memory usage: 74 MB
% 46.55/11.12 % (1383077)Instructions burned: 921 (million)
% 46.55/11.12 % (1383081)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2465057669:i=1472:ins=7:fdi=8:gsp=on_2978 on theBenchmark for (2978ds/1472Mi)
% 46.55/11.12 % TRYING [6]
% 46.55/11.12 % TRYING [5]
% 46.55/11.12 % (1383081)Instruction limit reached!
% 46.55/11.12 % (1383081)------------------------------
% 46.55/11.12 % (1383081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383081)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383081)Termination reason: Instruction limit
% 46.55/11.12 % (1383081)Termination phase: Saturation
% 46.55/11.12 % (1383081)Time elapsed: 1.457 s
% 46.55/11.12 % (1383081)Peak memory usage: 29 MB
% 46.55/11.12 % (1383081)Instructions burned: 1473 (million)
% 46.55/11.12 % (1383085)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1576910402:i=6324_2963 on theBenchmark for (2963ds/6324Mi)
% 46.55/11.12 % (1383085)Cannot represent all propositional literals internally
% 46.55/11.12 % (1383085)Refutation not found, incomplete strategy
% 46.55/11.12 % (1383085)------------------------------
% 46.55/11.12 % (1383085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383085)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383085)Termination reason: Refutation not found, incomplete strategy
% 46.55/11.12 % (1383085)Time elapsed: 0.007 s
% 46.55/11.12 % (1383085)Peak memory usage: 11 MB
% 46.55/11.12 % (1383085)Instructions burned: 9 (million)
% 46.55/11.12 % (1383085)------------------------------
% 46.55/11.12 % (1383085)------------------------------
% 46.55/11.12 % (1383087)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4047680655:fmbsr=2.30978:i=2174_2963 on theBenchmark for (2963ds/2174Mi)
% 46.55/11.12 % TRYING [16]
% 46.55/11.12 % (1383075)Instruction limit reached!
% 46.55/11.12 % (1383075)------------------------------
% 46.55/11.12 % (1383075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383075)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383075)Termination reason: Instruction limit
% 46.55/11.12 % (1383075)Termination phase: Finite model building constraint generation
% 46.55/11.12 % (1383075)Time elapsed: 3.307 s
% 46.55/11.12 % (1383075)Peak memory usage: 591 MB
% 46.55/11.12 % (1383075)Instructions burned: 9516 (million)
% 46.55/11.12 % (1383089)ott-2_1_sil=16000:newcnf=on:random_seed=4072534100:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2950 on theBenchmark for (2950ds/869Mi)
% 46.55/11.12 % (1383087)Instruction limit reached!
% 46.55/11.12 % (1383087)------------------------------
% 46.55/11.12 % (1383087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383087)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383087)Termination reason: Instruction limit
% 46.55/11.12 % (1383087)Termination phase: Finite model building constraint generation
% 46.55/11.12 % (1383087)Time elapsed: 1.428 s
% 46.55/11.12 % (1383087)Peak memory usage: 130 MB
% 46.55/11.12 % (1383087)Instructions burned: 2174 (million)
% 46.55/11.12 % (1383091)ott+10_1_sil=32000:tgt=ground:random_seed=4082084894:i=5114:av=off_2948 on theBenchmark for (2948ds/5114Mi)
% 46.55/11.12 % (1383089)Instruction limit reached!
% 46.55/11.12 % (1383089)------------------------------
% 46.55/11.12 % (1383089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383089)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383089)Termination reason: Instruction limit
% 46.55/11.12 % (1383089)Termination phase: Saturation
% 46.55/11.12 % (1383089)Time elapsed: 0.530 s
% 46.55/11.12 % (1383089)Peak memory usage: 16 MB
% 46.55/11.12 % (1383089)Instructions burned: 869 (million)
% 46.55/11.12 % (1383093)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2806176892:i=54282_2944 on theBenchmark for (2944ds/54282Mi)
% 46.55/11.12 % TRYING [1]
% 46.55/11.12 % TRYING [2]
% 46.55/11.12 % TRYING [3]
% 46.55/11.12 % TRYING [4]
% 46.55/11.12 % TRYING [5]
% 46.55/11.12 % (1383079)Instruction limit reached!
% 46.55/11.12 % (1383079)------------------------------
% 46.55/11.12 % (1383079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383079)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383079)Termination reason: Instruction limit
% 46.55/11.12 % (1383079)Termination phase: Saturation
% 46.55/11.12 % (1383079)Time elapsed: 4.247 s
% 46.55/11.12 % (1383079)Peak memory usage: 30 MB
% 46.55/11.12 % (1383079)Instructions burned: 5132 (million)
% 46.55/11.12 % (1383095)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3439483352:i=3512:aac=none_2940 on theBenchmark for (2940ds/3512Mi)
% 46.55/11.12 % TRYING [6]
% 46.55/11.12 % (1383095)Instruction limit reached!
% 46.55/11.12 % (1383095)------------------------------
% 46.55/11.12 % (1383095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.12 % (1383095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.12 % (1383095)CaDiCaL version: 2.1.3
% 46.55/11.12 % (1383095)Termination reason: Instruction limit
% 46.55/11.12 % (1383095)Termination phase: Saturation
% 46.55/11.12 % (1383095)Time elapsed: 2.778 s
% 46.55/11.12 % (1383095)Peak memory usage: 23 MB
% 46.55/11.12 % (1383095)Instructions burned: 3513 (million)
% 46.55/11.12 % (1383098)dis+21_1_sil=32000:sas=cadical:random_seed=1974429472:i=3773:amm=off_2912 on theBenchmark for (2912ds/3773Mi)
% 46.55/11.13 % TRYING [7]
% 46.55/11.13 % (1383091)Instruction limit reached!
% 46.55/11.13 % (1383091)------------------------------
% 46.55/11.13 % (1383091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.13 % (1383091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.13 % (1383091)CaDiCaL version: 2.1.3
% 46.55/11.13 % (1383091)Termination reason: Instruction limit
% 46.55/11.13 % (1383091)Termination phase: Saturation
% 46.55/11.13 % (1383091)Time elapsed: 5.141 s
% 46.55/11.13 % (1383091)Peak memory usage: 63 MB
% 46.55/11.13 % (1383091)Instructions burned: 5114 (million)
% 46.55/11.13 % (1383101)ott+11_1_sil=16000:gs=on:random_seed=3437505235:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2896 on theBenchmark for (2896ds/2251Mi)
% 46.55/11.13 % (1383101) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1383034-1383101"...
% 46.55/11.13 % (1383101)...printing done.
% 46.55/11.13 % (1383101)Refutation found. Thanks to Tanya!
% 46.55/11.13 % SZS status Theorem for theBenchmark
% 46.55/11.13 % SZS output start Proof for theBenchmark
% See solution above
% 46.55/11.13 % (1383101)------------------------------
% 46.55/11.13 % (1383101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.55/11.13 % (1383101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/11.13 % (1383101)CaDiCaL version: 2.1.3
% 46.55/11.13 % (1383101)Termination reason: Refutation
% 46.55/11.13 % (1383101)Time elapsed: 0.145 s
% 46.55/11.13 % (1383101)Peak memory usage: 15 MB
% 46.55/11.13 % (1383101)Instructions burned: 153 (million)
% 46.55/11.13 % (1383034)Success in time 10.649 s
% 46.55/11.13 % Vampire exiting
%------------------------------------------------------------------------------