%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET732+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 : n004.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 5.40s 1.77s
% Output : Refutation 6.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 142 ( 9 unt; 7 def)
% Number of atoms : 514 ( 33 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 603 ( 231 ~; 262 |; 82 &)
% ( 20 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 252 ( 0 sgn 220 !; 32 ?)
% 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(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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',surjective) ).
fof(f19,axiom,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
<=> ( injective(X0,X1,X2)
& surjective(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/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) ) )
& injective(X0,X2,X3) )
=> one_to_one(X1,X2,X4) ),
file('/export/starexec/sandbox/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(f32,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(f33,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,[],[f32]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
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,[],[f18]) ).
fof(f44,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,[],[f33]) ).
fof(f45,plain,
( ~ one_to_one(sK1,sK2,sK4)
& maps(sK0,sK2,sK3)
& subset(sK4,sK3)
& sK4 = image2(sK0,sK2)
& ! [X5,X6] :
( ( ( apply(sK1,X5,X6)
| ~ apply(sK0,X5,X6) )
& ( apply(sK0,X5,X6)
| ~ apply(sK1,X5,X6) ) )
| ~ member(X5,sK2)
| ~ member(X6,sK4) )
& injective(sK0,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f44]) ).
fof(f46,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,[],[f35]) ).
fof(f47,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,[],[f46]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ( sK5(X0,X1,X2) != sK6(X0,X1,X2)
& apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& member(sK5(X0,X1,X2),X1)
& member(sK6(X0,X1,X2),X1)
& member(sK7(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,[sK5,sK6,sK7]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK6(X0,X1,X2)),skolemize(X5,sK7(X0,X1,X2))],[f47]) ).
fof(f62,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,[],[f40]) ).
fof(f63,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,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK16(X0,X1),X1)
& member(sK16(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f63]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) )
& ( ( injective(X0,X1,X2)
& surjective(X0,X1,X2) )
| ~ one_to_one(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) )
& ( ( injective(X0,X1,X2)
& surjective(X0,X1,X2) )
| ~ one_to_one(X0,X1,X2) ) ),
inference(flattening,[],[f69]) ).
fof(f71,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(f72,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,[],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ( member(sK21(X0,X1,X2),X1)
& apply(X0,sK21(X0,X1,X2),X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X4,sK21(X0,X1,X2))],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) )
& member(X3,X2) ) )
& ( ! [X3] :
( ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) )
| ~ member(X3,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) )
& member(X3,X2) ) )
& ( ! [X5] :
( ? [X6] :
( member(X6,X1)
& apply(X0,X6,X5) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,sK22(X0,X1,X2)) )
& member(sK22(X0,X1,X2),X2) ) )
& ( ! [X5] :
( ( member(sK23(X0,X1,X5),X1)
& apply(X0,sK23(X0,X1,X5),X5) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X3,sK22(X0,X1,X2)),skolemize(X6,sK23(X0,X1,X5))],[f75]) ).
fof(f77,plain,
injective(sK0,sK2,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f78,plain,
! [X6,X5] :
( ~ member(X6,sK4)
| ~ apply(sK1,X5,X6)
| ~ member(X5,sK2)
| apply(sK0,X5,X6) ),
inference(cnf_transformation,[],[f45]) ).
fof(f79,plain,
! [X6,X5] :
( ~ member(X6,sK4)
| ~ apply(sK0,X5,X6)
| ~ member(X5,sK2)
| apply(sK1,X5,X6) ),
inference(cnf_transformation,[],[f45]) ).
fof(f80,plain,
sK4 = image2(sK0,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f81,plain,
subset(sK4,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f83,plain,
~ one_to_one(sK1,sK2,sK4),
inference(cnf_transformation,[],[f45]) ).
fof(f84,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,[],[f48]) ).
fof(f85,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f86,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f87,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f88,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f89,plain,
! [X2,X0,X1] :
( apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f90,plain,
! [X2,X0,X1] :
( sK5(X0,X1,X2) != sK6(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f123,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f124,plain,
! [X0,X1] :
( member(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f125,plain,
! [X0,X1] :
( ~ member(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2)
| one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f141,plain,
! [X2,X0,X1] :
( apply(X0,sK21(X0,X1,X2),X2)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| member(sK21(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f146,plain,
! [X2,X0,X1] :
( member(sK22(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK22(X0,X1,X2))
| ~ member(X4,X1)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f151,plain,
! [X0] :
( member(sK21(sK0,sK2,X0),sK2)
| ~ member(X0,sK4) ),
inference(superposition,[],[f142,f80]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ member(X1,sK3)
| ~ apply(sK0,X2,X1)
| ~ member(X0,sK2)
| ~ member(X2,sK2)
| ~ apply(sK0,X0,X1)
| X0 = X2 ),
inference(resolution,[],[f84,f77]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ member(sK21(X0,X1,sK22(X0,X2,X3)),X2)
| surjective(X0,X2,X3)
| ~ member(sK22(X0,X2,X3),image2(X0,X1)) ),
inference(resolution,[],[f147,f141]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X2,sK7(X0,X1,sK4))
| injective(X0,X1,sK4)
| ~ member(X2,sK2)
| apply(sK0,X2,sK7(X0,X1,sK4)) ),
inference(resolution,[],[f85,f78]) ).
fof(f218,plain,
! [X0,X1] :
( ~ apply(sK0,X1,sK16(sK4,X0))
| subset(sK4,X0)
| ~ member(X1,sK2)
| apply(sK1,X1,sK16(sK4,X0)) ),
inference(resolution,[],[f124,f79]) ).
fof(f219,plain,
! [X0,X1] :
( ~ member(sK21(sK0,X1,sK16(sK4,X0)),sK2)
| subset(sK4,X0)
| apply(sK1,sK21(sK0,X1,sK16(sK4,X0)),sK16(sK4,X0))
| ~ member(sK16(sK4,X0),image2(sK0,X1)) ),
inference(resolution,[],[f218,f141]) ).
fof(f221,plain,
! [X0] :
( member(X0,sK3)
| ~ member(X0,sK4) ),
inference(resolution,[],[f81,f123]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ apply(sK0,X2,X0)
| ~ apply(sK0,X1,X0)
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ member(X0,sK4)
| X1 = X2 ),
inference(resolution,[],[f221,f157]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ member(sK21(sK0,X2,X1),sK2)
| ~ apply(sK0,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK4)
| sK21(sK0,X2,X1) = X0
| ~ member(X1,image2(sK0,X2)) ),
inference(resolution,[],[f222,f141]) ).
fof(f474,plain,
! [X0,X1] :
( ~ apply(sK0,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK4)
| sK21(sK0,sK2,X1) = X0
| ~ member(X1,image2(sK0,sK2))
| ~ member(X1,sK4) ),
inference(resolution,[],[f226,f151]) ).
fof(f477,plain,
! [X0,X1] :
( ~ apply(sK0,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK4)
| sK21(sK0,sK2,X1) = X0
| ~ member(X1,image2(sK0,sK2)) ),
inference(duplicate_literal_removal,[],[f474]) ).
fof(f480,plain,
! [X0,X1] :
( ~ apply(sK0,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK4)
| sK21(sK0,sK2,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f477,f143]) ).
fof(f648,plain,
! [X0] :
( subset(sK4,X0)
| apply(sK1,sK21(sK0,sK2,sK16(sK4,X0)),sK16(sK4,X0))
| ~ member(sK16(sK4,X0),image2(sK0,sK2))
| ~ member(sK16(sK4,X0),sK4) ),
inference(resolution,[],[f219,f151]) ).
fof(f649,plain,
! [X0] :
( subset(sK4,X0)
| apply(sK1,sK21(sK0,sK2,sK16(sK4,X0)),sK16(sK4,X0))
| ~ member(sK16(sK4,X0),image2(sK0,sK2)) ),
inference(forward_subsumption_resolution,[],[f648,f124]) ).
fof(f650,plain,
! [X0] :
( ~ member(sK16(sK4,X0),sK4)
| subset(sK4,X0)
| apply(sK1,sK21(sK0,sK2,sK16(sK4,X0)),sK16(sK4,X0)) ),
inference(forward_demodulation,[],[f649,f80]) ).
fof(f651,plain,
! [X0] :
( apply(sK1,sK21(sK0,sK2,sK16(sK4,X0)),sK16(sK4,X0))
| subset(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f650,f124]) ).
fof(f654,plain,
! [X0,X1] :
( ~ member(sK21(sK0,sK2,sK16(sK4,X0)),X1)
| subset(sK4,X0)
| member(sK16(sK4,X0),image2(sK1,X1)) ),
inference(resolution,[],[f651,f143]) ).
fof(f656,plain,
! [X0] :
( subset(sK4,X0)
| member(sK16(sK4,X0),image2(sK1,sK2))
| ~ member(sK16(sK4,X0),sK4) ),
inference(resolution,[],[f654,f151]) ).
fof(f658,plain,
! [X0] :
( member(sK16(sK4,X0),image2(sK1,sK2))
| subset(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f656,f124]) ).
fof(f659,plain,
( subset(sK4,image2(sK1,sK2))
| subset(sK4,image2(sK1,sK2)) ),
inference(resolution,[],[f658,f125]) ).
fof(f662,plain,
subset(sK4,image2(sK1,sK2)),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f663,plain,
! [X0] :
( member(X0,image2(sK1,sK2))
| ~ member(X0,sK4) ),
inference(resolution,[],[f662,f123]) ).
fof(f678,plain,
! [X0] :
( ~ member(X0,sK4)
| member(sK21(sK1,sK2,X0),sK2) ),
inference(resolution,[],[f663,f142]) ).
fof(f698,plain,
! [X0,X1] :
( member(sK21(sK1,sK2,sK22(X0,X1,sK4)),sK2)
| surjective(X0,X1,sK4) ),
inference(resolution,[],[f678,f146]) ).
fof(f733,plain,
( surjective(sK1,sK2,sK4)
| surjective(sK1,sK2,sK4)
| ~ member(sK22(sK1,sK2,sK4),image2(sK1,sK2)) ),
inference(resolution,[],[f698,f174]) ).
fof(f743,plain,
( surjective(sK1,sK2,sK4)
| ~ member(sK22(sK1,sK2,sK4),image2(sK1,sK2)) ),
inference(duplicate_literal_removal,[],[f733]) ).
fof(f745,definition,
( spl24_3
<=> member(sK22(sK1,sK2,sK4),image2(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f746,plain,
( ~ member(sK22(sK1,sK2,sK4),image2(sK1,sK2))
| spl24_3 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f748,definition,
( spl24_4
<=> surjective(sK1,sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f749,plain,
( surjective(sK1,sK2,sK4)
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( ~ spl24_3
| spl24_4 ),
inference(avatar_split_clause,[],[f743,f748,f745]) ).
fof(f751,plain,
( ~ member(sK22(sK1,sK2,sK4),sK4)
| spl24_3 ),
inference(resolution,[],[f746,f663]) ).
fof(f752,plain,
( surjective(sK1,sK2,sK4)
| spl24_3 ),
inference(resolution,[],[f751,f146]) ).
fof(f753,plain,
( spl24_4
| spl24_3 ),
inference(avatar_split_clause,[],[f752,f745,f748]) ).
fof(f756,plain,
( ~ injective(sK1,sK2,sK4)
| one_to_one(sK1,sK2,sK4)
| ~ spl24_4 ),
inference(resolution,[],[f749,f140]) ).
fof(f757,plain,
( ~ injective(sK1,sK2,sK4)
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f756,f83]) ).
fof(f1143,definition,
( spl24_33
<=> member(sK5(sK1,sK2,sK4),sK2) ),
introduced(definition,[new_symbols(definition,[spl24_33])],[avatar_definition]) ).
fof(f1144,plain,
( ~ member(sK5(sK1,sK2,sK4),sK2)
| spl24_33 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1151,plain,
( injective(sK1,sK2,sK4)
| spl24_33 ),
inference(resolution,[],[f1144,f87]) ).
fof(f1153,plain,
( $false
| ~ spl24_4
| spl24_33 ),
inference(forward_subsumption_resolution,[],[f1151,f757]) ).
fof(f1154,plain,
( ~ spl24_4
| spl24_33 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1476,definition,
( spl24_49
<=> member(sK6(sK1,sK2,sK4),sK2) ),
introduced(definition,[new_symbols(definition,[spl24_49])],[avatar_definition]) ).
fof(f1477,plain,
( ~ member(sK6(sK1,sK2,sK4),sK2)
| spl24_49 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1481,plain,
( injective(sK1,sK2,sK4)
| spl24_49 ),
inference(resolution,[],[f1477,f86]) ).
fof(f1483,plain,
( $false
| ~ spl24_4
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f1481,f757]) ).
fof(f1484,plain,
( ~ spl24_4
| spl24_49 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
fof(f1933,plain,
! [X0] :
( injective(sK1,X0,sK4)
| injective(sK1,X0,sK4)
| ~ member(sK5(sK1,X0,sK4),sK2)
| apply(sK0,sK5(sK1,X0,sK4),sK7(sK1,X0,sK4)) ),
inference(resolution,[],[f89,f191]) ).
fof(f1939,plain,
! [X0] :
( ~ member(sK5(sK1,X0,sK4),sK2)
| injective(sK1,X0,sK4)
| apply(sK0,sK5(sK1,X0,sK4),sK7(sK1,X0,sK4)) ),
inference(duplicate_literal_removal,[],[f1933]) ).
fof(f1940,plain,
( injective(sK1,sK2,sK4)
| apply(sK0,sK5(sK1,sK2,sK4),sK7(sK1,sK2,sK4))
| injective(sK1,sK2,sK4) ),
inference(resolution,[],[f1939,f87]) ).
fof(f1941,plain,
( injective(sK1,sK2,sK4)
| apply(sK0,sK5(sK1,sK2,sK4),sK7(sK1,sK2,sK4)) ),
inference(duplicate_literal_removal,[],[f1940]) ).
fof(f1942,plain,
( apply(sK0,sK5(sK1,sK2,sK4),sK7(sK1,sK2,sK4))
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f1941,f757]) ).
fof(f1944,plain,
( ~ member(sK5(sK1,sK2,sK4),sK2)
| ~ member(sK7(sK1,sK2,sK4),sK4)
| sK5(sK1,sK2,sK4) = sK21(sK0,sK2,sK7(sK1,sK2,sK4))
| ~ spl24_4 ),
inference(resolution,[],[f1942,f480]) ).
fof(f1948,plain,
( ! [X0] :
( member(sK7(sK1,sK2,sK4),image2(sK0,X0))
| ~ member(sK5(sK1,sK2,sK4),X0) )
| ~ spl24_4 ),
inference(resolution,[],[f1942,f143]) ).
fof(f1950,definition,
( spl24_62
<=> member(sK7(sK1,sK2,sK4),sK4) ),
introduced(definition,[new_symbols(definition,[spl24_62])],[avatar_definition]) ).
fof(f1951,plain,
( ~ member(sK7(sK1,sK2,sK4),sK4)
| spl24_62 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f1964,definition,
( spl24_66
<=> sK5(sK1,sK2,sK4) = sK21(sK0,sK2,sK7(sK1,sK2,sK4)) ),
introduced(definition,[new_symbols(definition,[spl24_66])],[avatar_definition]) ).
fof(f1965,plain,
( sK5(sK1,sK2,sK4) = sK21(sK0,sK2,sK7(sK1,sK2,sK4))
| ~ spl24_66 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1966,plain,
( spl24_66
| ~ spl24_62
| ~ spl24_33
| ~ spl24_4 ),
inference(avatar_split_clause,[],[f1944,f748,f1143,f1950,f1964]) ).
fof(f1968,plain,
( injective(sK1,sK2,sK4)
| spl24_62 ),
inference(resolution,[],[f1951,f85]) ).
fof(f1970,plain,
( $false
| ~ spl24_4
| spl24_62 ),
inference(forward_subsumption_resolution,[],[f1968,f757]) ).
fof(f1971,plain,
( ~ spl24_4
| spl24_62 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f2009,plain,
( member(sK5(sK1,sK2,sK4),sK2)
| ~ spl24_33 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f2031,plain,
( member(sK7(sK1,sK2,sK4),sK4)
| ~ member(sK5(sK1,sK2,sK4),sK2)
| ~ spl24_4 ),
inference(superposition,[],[f1948,f80]) ).
fof(f2032,plain,
( member(sK7(sK1,sK2,sK4),sK4)
| ~ spl24_4
| ~ spl24_33 ),
inference(forward_subsumption_resolution,[],[f2031,f2009]) ).
fof(f2846,plain,
! [X0] :
( injective(sK1,X0,sK4)
| injective(sK1,X0,sK4)
| ~ member(sK6(sK1,X0,sK4),sK2)
| apply(sK0,sK6(sK1,X0,sK4),sK7(sK1,X0,sK4)) ),
inference(resolution,[],[f88,f191]) ).
fof(f2852,plain,
! [X0] :
( ~ member(sK6(sK1,X0,sK4),sK2)
| injective(sK1,X0,sK4)
| apply(sK0,sK6(sK1,X0,sK4),sK7(sK1,X0,sK4)) ),
inference(duplicate_literal_removal,[],[f2846]) ).
fof(f2853,plain,
( injective(sK1,sK2,sK4)
| apply(sK0,sK6(sK1,sK2,sK4),sK7(sK1,sK2,sK4))
| injective(sK1,sK2,sK4) ),
inference(resolution,[],[f2852,f86]) ).
fof(f2854,plain,
( injective(sK1,sK2,sK4)
| apply(sK0,sK6(sK1,sK2,sK4),sK7(sK1,sK2,sK4)) ),
inference(duplicate_literal_removal,[],[f2853]) ).
fof(f2855,plain,
( apply(sK0,sK6(sK1,sK2,sK4),sK7(sK1,sK2,sK4))
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f2854,f757]) ).
fof(f2861,plain,
( ~ member(sK6(sK1,sK2,sK4),sK2)
| ~ member(sK7(sK1,sK2,sK4),sK4)
| sK6(sK1,sK2,sK4) = sK21(sK0,sK2,sK7(sK1,sK2,sK4))
| ~ spl24_4 ),
inference(resolution,[],[f2855,f480]) ).
fof(f2868,plain,
( ~ member(sK6(sK1,sK2,sK4),sK2)
| sK6(sK1,sK2,sK4) = sK21(sK0,sK2,sK7(sK1,sK2,sK4))
| ~ spl24_4
| ~ spl24_33 ),
inference(forward_subsumption_resolution,[],[f2861,f2032]) ).
fof(f2870,definition,
( spl24_120
<=> sK6(sK1,sK2,sK4) = sK5(sK1,sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl24_120])],[avatar_definition]) ).
fof(f2871,plain,
( sK6(sK1,sK2,sK4) = sK5(sK1,sK2,sK4)
| ~ spl24_120 ),
inference(avatar_component_clause,[],[f2870]) ).
fof(f2887,plain,
( sK6(sK1,sK2,sK4) = sK5(sK1,sK2,sK4)
| ~ member(sK6(sK1,sK2,sK4),sK2)
| ~ spl24_4
| ~ spl24_33
| ~ spl24_66 ),
inference(forward_demodulation,[],[f2868,f1965]) ).
fof(f2890,plain,
( ~ spl24_49
| spl24_120
| ~ spl24_4
| ~ spl24_33
| ~ spl24_66 ),
inference(avatar_split_clause,[],[f2887,f1964,f1143,f748,f2870,f1476]) ).
fof(f2901,plain,
( sK5(sK1,sK2,sK4) != sK5(sK1,sK2,sK4)
| injective(sK1,sK2,sK4)
| ~ spl24_120 ),
inference(superposition,[],[f90,f2871]) ).
fof(f2903,plain,
( injective(sK1,sK2,sK4)
| ~ spl24_120 ),
inference(trivial_inequality_removal,[],[f2901]) ).
fof(f2905,plain,
( $false
| ~ spl24_4
| ~ spl24_120 ),
inference(forward_subsumption_resolution,[],[f2903,f757]) ).
fof(f2906,plain,
( ~ spl24_4
| ~ spl24_120 ),
inference(avatar_contradiction_clause,[],[f2905]) ).
cnf(s2,plain,
( ~ spl24_3
| spl24_4 ),
inference(sat_conversion,[],[f750]) ).
cnf(s3,plain,
( spl24_3
| spl24_4 ),
inference(sat_conversion,[],[f753]) ).
cnf(s27,plain,
( ~ spl24_4
| spl24_33 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s46,plain,
( ~ spl24_4
| spl24_49 ),
inference(sat_conversion,[],[f1484]) ).
cnf(s58,plain,
( ~ spl24_4
| ~ spl24_33
| ~ spl24_62
| spl24_66 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s60,plain,
( ~ spl24_4
| spl24_62 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s145,plain,
( ~ spl24_4
| ~ spl24_33
| ~ spl24_49
| ~ spl24_66
| spl24_120 ),
inference(sat_conversion,[],[f2890]) ).
cnf(s147,plain,
( ~ spl24_4
| ~ spl24_120 ),
inference(sat_conversion,[],[f2906]) ).
cnf(s148,plain,
~ spl24_4,
inference(rat,[],[s58,s145,s27,s46,s60,s147]) ).
cnf(s149,plain,
spl24_3,
inference(rat,[],[s3,s148]) ).
cnf(s150,plain,
$false,
inference(rat,[],[s2,s148,s149]) ).
fof(f2907,plain,
$false,
inference(avatar_sat_refutation,[],[s150]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 02:39:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 5.40/1.77 % (4097862)Detected formulas, will run a generic FOF schedule.
% 5.40/1.77 % (4097868)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=1402429034:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.40/1.77 % (4097869)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=3959348102:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.40/1.77 % (4097867)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=2018392736:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.40/1.77 % (4097871)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1747712219:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.40/1.77 % (4097870)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2915216809:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.40/1.77 % (4097873)dis-21_1_sil=8000:lcm=predicate:random_seed=1558801943: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)
% 5.40/1.77 % (4097872)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3744838923:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.40/1.77 % (4097870)Instruction limit reached!
% 5.40/1.77 % (4097870)------------------------------
% 5.40/1.77 % (4097870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097870)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097870)Termination reason: Instruction limit
% 5.40/1.77 % (4097870)Termination phase: Saturation
% 5.40/1.77 % (4097870)Time elapsed: 0.061 s
% 5.40/1.77 % (4097870)Peak memory usage: 88 MB
% 5.40/1.77 % (4097870)Instructions burned: 110 (million)
% 5.40/1.77 % (4097871)Instruction limit reached!
% 5.40/1.77 % (4097871)------------------------------
% 5.40/1.77 % (4097871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097871)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097871)Termination reason: Instruction limit
% 5.40/1.77 % (4097871)Termination phase: Saturation
% 5.40/1.77 % (4097871)Time elapsed: 0.069 s
% 5.40/1.77 % (4097871)Peak memory usage: 88 MB
% 5.40/1.77 % (4097871)Instructions burned: 119 (million)
% 5.40/1.77 % (4097873)Instruction limit reached!
% 5.40/1.77 % (4097873)------------------------------
% 5.40/1.77 % (4097873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097873)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097873)Termination reason: Instruction limit
% 5.40/1.77 % (4097873)Termination phase: Saturation
% 5.40/1.77 % (4097873)Time elapsed: 0.083 s
% 5.40/1.77 % (4097873)Peak memory usage: 90 MB
% 5.40/1.77 % (4097873)Instructions burned: 130 (million)
% 5.40/1.77 % (4097872)Instruction limit reached!
% 5.40/1.77 % (4097872)------------------------------
% 5.40/1.77 % (4097872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097872)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097872)Termination reason: Instruction limit
% 5.40/1.77 % (4097872)Termination phase: Saturation
% 5.40/1.77 % (4097872)Time elapsed: 0.093 s
% 5.40/1.77 % (4097872)Peak memory usage: 89 MB
% 5.40/1.77 % (4097872)Instructions burned: 139 (million)
% 5.40/1.77 % (4097881)lrs+10_1_sil=8000:sp=occurrence:random_seed=2728394440:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.40/1.77 % (4097882)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3027236794:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.40/1.77 % (4097882)Refutation not found, incomplete strategy
% 5.40/1.77 % (4097882)------------------------------
% 5.40/1.77 % (4097882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097882)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097882)Termination reason: Refutation not found, incomplete strategy
% 5.40/1.77 % (4097882)Time elapsed: 0.003 s
% 5.40/1.77 % (4097882)Peak memory usage: 88 MB
% 5.40/1.77 % (4097882)Instructions burned: 2 (million)
% 5.40/1.77 % (4097883)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3251320375:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.40/1.77 % (4097884)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=775755668:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.40/1.77 % (4097881)Instruction limit reached!
% 5.40/1.77 % (4097881)------------------------------
% 5.40/1.77 % (4097881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097881)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097881)Termination reason: Instruction limit
% 5.40/1.77 % (4097881)Termination phase: Saturation
% 5.40/1.77 % (4097881)Time elapsed: 0.176 s
% 5.40/1.77 % (4097881)Peak memory usage: 91 MB
% 5.40/1.77 % (4097881)Instructions burned: 286 (million)
% 5.40/1.77 % (4097884)Instruction limit reached!
% 5.40/1.77 % (4097884)------------------------------
% 5.40/1.77 % (4097884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097884)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097884)Termination reason: Instruction limit
% 5.40/1.77 % (4097884)Termination phase: Saturation
% 5.40/1.77 % (4097884)Time elapsed: 0.136 s
% 5.40/1.77 % (4097884)Peak memory usage: 92 MB
% 5.40/1.77 % (4097884)Instructions burned: 249 (million)
% 5.40/1.77 % (4097882)------------------------------
% 5.40/1.77 % (4097882)------------------------------
% 5.40/1.77 % (4097883)Instruction limit reached!
% 5.40/1.77 % (4097883)------------------------------
% 5.40/1.77 % (4097883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097883)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097883)Termination reason: Instruction limit
% 5.40/1.77 % (4097883)Termination phase: Saturation
% 5.40/1.77 % (4097883)Time elapsed: 0.194 s
% 5.40/1.77 % (4097883)Peak memory usage: 92 MB
% 5.40/1.77 % (4097883)Instructions burned: 326 (million)
% 5.40/1.77 % (4097889)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3256805429:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.40/1.77 % (4097890)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=943997681:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.40/1.77 % (4097868)First to succeed.
% 5.40/1.77 % (4097868)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4097862"
% 5.40/1.77 % (4097891)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1779600172:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.40/1.77 % (4097892)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=373752391:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.40/1.77 % (4097891)Also succeeded, but the first one will report.
% 5.40/1.77 % (4097892)Instruction limit reached!
% 5.40/1.77 % (4097892)------------------------------
% 5.40/1.77 % (4097892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097892)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097892)Termination reason: Instruction limit
% 5.40/1.77 % (4097892)Termination phase: Saturation
% 5.40/1.77 % (4097892)Time elapsed: 0.067 s
% 5.40/1.77 % (4097892)Peak memory usage: 88 MB
% 5.40/1.77 % (4097892)Instructions burned: 129 (million)
% 5.40/1.77 % (4097889)Instruction limit reached!
% 5.40/1.77 % (4097889)------------------------------
% 5.40/1.77 % (4097889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.77 % (4097889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.77 % (4097889)CaDiCaL version: 2.1.3
% 5.40/1.77 % (4097889)Termination reason: Instruction limit
% 5.40/1.77 % (4097889)Termination phase: Saturation
% 5.40/1.77 % (4097889)Time elapsed: 0.163 s
% 5.40/1.77 % (4097889)Peak memory usage: 88 MB
% 5.40/1.77 % (4097889)Instructions burned: 295 (million)
% 5.40/1.77 % (4097868)Refutation found. Thanks to Tanya!
% 5.40/1.77 % SZS status Theorem for theBenchmark
% 5.40/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 6.90/1.86 % (4097868)------------------------------
% 6.90/1.86 % (4097868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.86 % (4097868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.86 % (4097868)CaDiCaL version: 2.1.3
% 6.90/1.86 % (4097868)Termination reason: Refutation
% 6.90/1.86 % (4097868)Time elapsed: 0.619 s
% 6.90/1.86 % (4097868)Peak memory usage: 135 MB
% 6.90/1.86 % (4097868)Instructions burned: 1624 (million)
% 6.90/1.86 % (4097868)------------------------------
% 6.90/1.86 % (4097868)------------------------------
% 6.90/1.86 % (4097862)Success in time 0.907 s
% 6.90/1.86 % Vampire exiting
%------------------------------------------------------------------------------