%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM537+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:24:43 PM UTC 2026
% Result : Theorem 2.58s 0.99s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 153 ( 24 unt; 15 def)
% Number of atoms : 587 ( 74 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 711 ( 277 ~; 292 |; 107 &)
% ( 29 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 10 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 178 ( 0 sgn 169 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f15,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f18,axiom,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).
fof(f19,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).
fof(f20,conjecture,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f21,negated_conjecture,
~ ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f40]) ).
fof(f43,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(ennf_transformation,[],[f21]) ).
fof(f44,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f46,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f39,f45,f44]) ).
fof(f47,definition,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> sP2(X2,X0,X1) )
| ~ sP3(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f49,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f41,f48,f47]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f56]) ).
fof(f58,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtpldt0(X0,X1)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtpldt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 )
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 ) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 )
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 ) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X1)
& X2 != X3 )
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X1)
| X2 = X3 ) )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& X2 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X2 = X4 ) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK6(X0,X1,X2))
| ( ~ aElementOf0(sK6(X0,X1,X2),X1)
& sK6(X0,X1,X2) != X2 )
| ~ aElementOf0(sK6(X0,X1,X2),X0) )
& ( ( aElement0(sK6(X0,X1,X2))
& ( aElementOf0(sK6(X0,X1,X2),X1)
| sK6(X0,X1,X2) = X2 ) )
| aElementOf0(sK6(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& X2 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X2 = X4 ) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f62]) ).
fof(f64,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ sP2(X2,X0,X1) )
& ( sP2(X2,X0,X1)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| X2 = X3
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& aElementOf0(X3,X1)
& X2 != X3 )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| sK7(X0,X1,X2) = X2
| ~ aElementOf0(sK7(X0,X1,X2),X0) )
& ( ( aElement0(sK7(X0,X1,X2))
& aElementOf0(sK7(X0,X1,X2),X1)
& sK7(X0,X1,X2) != X2 )
| aElementOf0(sK7(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f77,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f83,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f85,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X2 = X4
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f86,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElement0(X4) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f95,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f97,plain,
! [X2,X0,X1,X4] :
( X2 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f98,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f100,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f108,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f109,plain,
aElement0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f110,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f111,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(cnf_transformation,[],[f43]) ).
fof(f114,plain,
! [X0,X1] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f83]) ).
fof(f116,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f95]) ).
fof(f117,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f97]) ).
fof(f118,definition,
sF8 = sdtpldt0(xS,xx),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f119,plain,
sdtpldt0(xS,xx) = sF8,
inference(reorient_equations,[],[f118]) ).
fof(f120,definition,
sF9 = sdtmndt0(sF8,xx),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f121,plain,
sdtmndt0(sF8,xx) = sF9,
inference(reorient_equations,[],[f120]) ).
fof(f122,plain,
( ~ aSubsetOf0(xS,sF9)
| ~ aSubsetOf0(sF9,xS) ),
inference(definition_folding,[],[f111,f121,f119,f121,f119]) ).
fof(f124,definition,
( spl10_1
<=> aSubsetOf0(sF9,xS) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f126,plain,
( ~ aSubsetOf0(sF9,xS)
| spl10_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl10_2
<=> aSubsetOf0(xS,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f130,plain,
( ~ aSubsetOf0(xS,sF9)
| spl10_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f122,f128,f124]) ).
fof(f134,plain,
! [X0] :
( ~ aSet0(X0)
| sP1(xx,X0) ),
inference(resolution,[],[f94,f109]) ).
fof(f135,plain,
! [X0] :
( ~ aSet0(X0)
| sP3(xx,X0) ),
inference(resolution,[],[f106,f109]) ).
fof(f136,plain,
sP1(xx,xS),
inference(resolution,[],[f134,f108]) ).
fof(f147,plain,
( sP0(sF8,xS,xx)
| ~ sP1(xx,xS) ),
inference(superposition,[],[f114,f119]) ).
fof(f148,plain,
sP0(sF8,xS,xx),
inference(forward_subsumption_resolution,[],[f147,f136]) ).
fof(f149,plain,
! [X0] :
( ~ aElementOf0(X0,sF8)
| aElement0(X0) ),
inference(resolution,[],[f148,f86]) ).
fof(f150,plain,
aSet0(sF8),
inference(resolution,[],[f148,f89]) ).
fof(f154,plain,
sP3(xx,sF8),
inference(resolution,[],[f150,f135]) ).
fof(f159,plain,
( sP2(sF9,sF8,xx)
| ~ sP3(xx,sF8) ),
inference(superposition,[],[f116,f121]) ).
fof(f160,plain,
sP2(sF9,sF8,xx),
inference(forward_subsumption_resolution,[],[f159,f154]) ).
fof(f165,plain,
( ~ aSet0(sF9)
| aElementOf0(sK5(xS,sF9),sF9)
| ~ aSet0(xS)
| spl10_1 ),
inference(resolution,[],[f77,f126]) ).
fof(f172,plain,
( ~ aSet0(sF9)
| aElementOf0(sK5(xS,sF9),sF9)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f165,f108]) ).
fof(f174,definition,
( spl10_3
<=> aElementOf0(sK5(xS,sF9),sF9) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f176,plain,
( aElementOf0(sK5(xS,sF9),sF9)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl10_4
<=> aSet0(sF9) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f179,plain,
( aSet0(sF9)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f180,plain,
( ~ aSet0(sF9)
| spl10_4 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl10_3
| ~ spl10_4
| spl10_1 ),
inference(avatar_split_clause,[],[f172,f124,f178,f174]) ).
fof(f182,plain,
! [X0] :
( ~ aElementOf0(X0,sF9)
| aElementOf0(X0,sF8) ),
inference(resolution,[],[f160,f98]) ).
fof(f184,plain,
~ aElementOf0(xx,sF9),
inference(resolution,[],[f160,f117]) ).
fof(f185,plain,
aSet0(sF9),
inference(resolution,[],[f160,f101]) ).
fof(f186,plain,
( $false
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f185,f180]) ).
fof(f187,plain,
spl10_4,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f194,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sF8) ),
inference(resolution,[],[f88,f148]) ).
fof(f215,plain,
! [X0] :
( ~ aElementOf0(X0,sF8)
| xx = X0
| aElementOf0(X0,xS) ),
inference(resolution,[],[f85,f148]) ).
fof(f226,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,sF8)
| xx = X0
| aElementOf0(X0,sF9) ),
inference(resolution,[],[f100,f160]) ).
fof(f227,plain,
! [X0] :
( ~ aElementOf0(X0,sF8)
| xx = X0
| aElementOf0(X0,sF9) ),
inference(forward_subsumption_resolution,[],[f226,f149]) ).
fof(f855,definition,
( spl10_21
<=> aElementOf0(sK5(sF9,xS),xS) ),
introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).
fof(f857,plain,
( aElementOf0(sK5(sF9,xS),xS)
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f877,plain,
( ~ aSet0(xS)
| aElementOf0(sK5(sF9,xS),xS)
| ~ aSet0(sF9)
| spl10_2 ),
inference(resolution,[],[f130,f77]) ).
fof(f878,plain,
( aElementOf0(sK5(sF9,xS),xS)
| ~ aSet0(sF9)
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f877,f108]) ).
fof(f879,plain,
( aElementOf0(sK5(sF9,xS),xS)
| spl10_2
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f878,f179]) ).
fof(f880,plain,
( spl10_21
| spl10_2
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f879,f178,f128,f855]) ).
fof(f939,plain,
( aElement0(sK5(sF9,xS))
| ~ aSet0(xS)
| ~ spl10_21 ),
inference(resolution,[],[f857,f70]) ).
fof(f940,plain,
( aElement0(sK5(sF9,xS))
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f939,f108]) ).
fof(f1022,plain,
( aElementOf0(sK5(xS,sF9),sF8)
| ~ spl10_3 ),
inference(resolution,[],[f182,f176]) ).
fof(f1197,plain,
( ~ aElement0(sK5(sF9,xS))
| aElementOf0(sK5(sF9,xS),sF8)
| ~ spl10_21 ),
inference(resolution,[],[f194,f857]) ).
fof(f1227,plain,
( aElementOf0(sK5(sF9,xS),sF8)
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f1197,f940]) ).
fof(f1581,plain,
( xx = sK5(sF9,xS)
| aElementOf0(sK5(sF9,xS),sF9)
| ~ spl10_21 ),
inference(resolution,[],[f1227,f227]) ).
fof(f1590,definition,
( spl10_39
<=> aElementOf0(sK5(sF9,xS),sF9) ),
introduced(definition,[new_symbols(definition,[spl10_39])],[avatar_definition]) ).
fof(f1592,plain,
( aElementOf0(sK5(sF9,xS),sF9)
| ~ spl10_39 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1594,definition,
( spl10_40
<=> xx = sK5(sF9,xS) ),
introduced(definition,[new_symbols(definition,[spl10_40])],[avatar_definition]) ).
fof(f1596,plain,
( xx = sK5(sF9,xS)
| ~ spl10_40 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1597,plain,
( spl10_39
| spl10_40
| ~ spl10_21 ),
inference(avatar_split_clause,[],[f1581,f855,f1594,f1590]) ).
fof(f1629,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_39 ),
inference(resolution,[],[f1592,f78]) ).
fof(f1638,plain,
( aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_39 ),
inference(forward_subsumption_resolution,[],[f1629,f108]) ).
fof(f1639,plain,
( ~ aSet0(sF9)
| spl10_2
| ~ spl10_39 ),
inference(forward_subsumption_resolution,[],[f1638,f130]) ).
fof(f1640,plain,
( $false
| spl10_2
| ~ spl10_4
| ~ spl10_39 ),
inference(forward_subsumption_resolution,[],[f1639,f179]) ).
fof(f1641,plain,
( spl10_2
| ~ spl10_4
| ~ spl10_39 ),
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f1674,plain,
( aElementOf0(xx,xS)
| ~ spl10_21
| ~ spl10_40 ),
inference(superposition,[],[f857,f1596]) ).
fof(f1678,plain,
( $false
| ~ spl10_21
| ~ spl10_40 ),
inference(forward_subsumption_resolution,[],[f1674,f110]) ).
fof(f1679,plain,
( ~ spl10_21
| ~ spl10_40 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
fof(f1794,plain,
( xx = sK5(xS,sF9)
| aElementOf0(sK5(xS,sF9),xS)
| ~ spl10_3 ),
inference(resolution,[],[f1022,f215]) ).
fof(f2200,definition,
( spl10_42
<=> aElementOf0(sK5(xS,sF9),xS) ),
introduced(definition,[new_symbols(definition,[spl10_42])],[avatar_definition]) ).
fof(f2202,plain,
( aElementOf0(sK5(xS,sF9),xS)
| ~ spl10_42 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f2204,definition,
( spl10_43
<=> xx = sK5(xS,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_43])],[avatar_definition]) ).
fof(f2206,plain,
( xx = sK5(xS,sF9)
| ~ spl10_43 ),
inference(avatar_component_clause,[],[f2204]) ).
fof(f2207,plain,
( spl10_42
| spl10_43
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f1794,f174,f2204,f2200]) ).
fof(f2231,plain,
( ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_42 ),
inference(resolution,[],[f2202,f78]) ).
fof(f2239,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_4
| ~ spl10_42 ),
inference(forward_subsumption_resolution,[],[f2231,f179]) ).
fof(f2240,plain,
( ~ aSet0(xS)
| spl10_1
| ~ spl10_4
| ~ spl10_42 ),
inference(forward_subsumption_resolution,[],[f2239,f126]) ).
fof(f2241,plain,
( $false
| spl10_1
| ~ spl10_4
| ~ spl10_42 ),
inference(forward_subsumption_resolution,[],[f2240,f108]) ).
fof(f2242,plain,
( spl10_1
| ~ spl10_4
| ~ spl10_42 ),
inference(avatar_contradiction_clause,[],[f2241]) ).
fof(f2272,plain,
( aElementOf0(xx,sF9)
| ~ spl10_3
| ~ spl10_43 ),
inference(superposition,[],[f176,f2206]) ).
fof(f2291,plain,
( $false
| ~ spl10_3
| ~ spl10_43 ),
inference(forward_subsumption_resolution,[],[f2272,f184]) ).
fof(f2292,plain,
( ~ spl10_3
| ~ spl10_43 ),
inference(avatar_contradiction_clause,[],[f2291]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(sat_conversion,[],[f131]) ).
cnf(s2,plain,
( spl10_1
| spl10_3
| ~ spl10_4 ),
inference(sat_conversion,[],[f181]) ).
cnf(s3,plain,
spl10_4,
inference(sat_conversion,[],[f187]) ).
cnf(s19,plain,
( spl10_2
| ~ spl10_4
| spl10_21 ),
inference(sat_conversion,[],[f880]) ).
cnf(s41,plain,
( ~ spl10_21
| spl10_39
| spl10_40 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s42,plain,
( spl10_2
| ~ spl10_4
| ~ spl10_39 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s43,plain,
( ~ spl10_21
| ~ spl10_40 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s51,plain,
( ~ spl10_3
| spl10_42
| spl10_43 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s54,plain,
( spl10_1
| ~ spl10_4
| ~ spl10_42 ),
inference(sat_conversion,[],[f2242]) ).
cnf(s55,plain,
( ~ spl10_3
| ~ spl10_43 ),
inference(sat_conversion,[],[f2292]) ).
cnf(s57,plain,
( spl10_1
| spl10_3 ),
inference(rat,[],[s2,s3]) ).
cnf(s58,plain,
spl10_1,
inference(rat,[],[s51,s55,s57,s54,s3]) ).
cnf(s59,plain,
~ spl10_2,
inference(rat,[],[s1,s58]) ).
cnf(s60,plain,
~ spl10_39,
inference(rat,[],[s42,s3,s59]) ).
cnf(s61,plain,
spl10_21,
inference(rat,[],[s19,s3,s59]) ).
cnf(s62,plain,
~ spl10_40,
inference(rat,[],[s43,s61]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s41,s60,s62,s61]) ).
fof(f2296,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM537+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.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 : Sun Sep 27 20:29:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 2.58/0.99 % (3928986)Will run a generic schedule for satisfiability detection.
% 2.58/0.99 % (3928993)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=364512147:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.58/0.99 % (3928992)% WARNING: option uhcvi not known.
% 2.58/0.99 % (3928992)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3696244114:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.58/0.99 % (3928994)dis+10_1_sil=32000:sp=arity:random_seed=1495860630:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.58/0.99 % (3928991)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3256067737_2999 on theBenchmark for (2999ds/0Mi)
% 2.58/0.99 % (3928995)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1597777135:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.58/0.99 % (3928997)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2043974874:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.58/0.99 % (3928996)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3358386660:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.58/0.99 % TRYING [1]
% 2.58/0.99 % TRYING [2]
% 2.58/0.99 % TRYING [3]
% 2.58/0.99 % TRYING [4]
% 2.58/0.99 % TRYING [5]
% 2.58/0.99 % TRYING [6]
% 2.58/0.99 % (3928994)Instruction limit reached!
% 2.58/0.99 % (3928994)------------------------------
% 2.58/0.99 % (3928994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3928994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3928994)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3928994)Termination reason: Instruction limit
% 2.58/0.99 % (3928994)Termination phase: Saturation
% 2.58/0.99 % (3928994)Time elapsed: 0.068 s
% 2.58/0.99 % (3928994)Peak memory usage: 12 MB
% 2.58/0.99 % (3928994)Instructions burned: 103 (million)
% 2.58/0.99 % (3928995)Instruction limit reached!
% 2.58/0.99 % (3928995)------------------------------
% 2.58/0.99 % (3928995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3928995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3928995)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3928995)Termination reason: Instruction limit
% 2.58/0.99 % (3928995)Termination phase: Saturation
% 2.58/0.99 % (3928995)Time elapsed: 0.072 s
% 2.58/0.99 % (3928995)Peak memory usage: 12 MB
% 2.58/0.99 % (3928995)Instructions burned: 117 (million)
% 2.58/0.99 % (3928996)Instruction limit reached!
% 2.58/0.99 % (3928996)------------------------------
% 2.58/0.99 % (3928996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3928996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3928996)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3928996)Termination reason: Instruction limit
% 2.58/0.99 % (3928996)Termination phase: Saturation
% 2.58/0.99 % (3928996)Time elapsed: 0.082 s
% 2.58/0.99 % (3928996)Peak memory usage: 12 MB
% 2.58/0.99 % (3928996)Instructions burned: 135 (million)
% 2.58/0.99 % (3929005)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2900719623:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.58/0.99 % TRYING [1]
% 2.58/0.99 % TRYING [2]
% 2.58/0.99 % TRYING [3]
% 2.58/0.99 % (3929006)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2855217486:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.58/0.99 % TRYING [4]
% 2.58/0.99 % TRYING [7]
% 2.58/0.99 % (3929007)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=488860642:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.58/0.99 % (3928997)Instruction limit reached!
% 2.58/0.99 % (3928997)------------------------------
% 2.58/0.99 % (3928997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3928997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3928997)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3928997)Termination reason: Instruction limit
% 2.58/0.99 % (3928997)Termination phase: Saturation
% 2.58/0.99 % (3928997)Time elapsed: 0.115 s
% 2.58/0.99 % (3928997)Peak memory usage: 14 MB
% 2.58/0.99 % (3928997)Instructions burned: 159 (million)
% 2.58/0.99 % TRYING [5]
% 2.58/0.99 % (3929011)ott-21_1_sil=16000:fs=off:random_seed=2898338836:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.58/0.99 % (3929006)Instruction limit reached!
% 2.58/0.99 % (3929006)------------------------------
% 2.58/0.99 % (3929006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3929006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3929006)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3929006)Termination reason: Instruction limit
% 2.58/0.99 % (3929006)Termination phase: Saturation
% 2.58/0.99 % (3929006)Time elapsed: 0.090 s
% 2.58/0.99 % (3929006)Peak memory usage: 13 MB
% 2.58/0.99 % (3929006)Instructions burned: 133 (million)
% 2.58/0.99 % (3929013)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=700392411:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.58/0.99 % (3929011)Instruction limit reached!
% 2.58/0.99 % (3929011)------------------------------
% 2.58/0.99 % (3929011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3929011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3929011)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3929011)Termination reason: Instruction limit
% 2.58/0.99 % (3929011)Termination phase: Saturation
% 2.58/0.99 % (3929011)Time elapsed: 0.098 s
% 2.58/0.99 % (3929011)Peak memory usage: 13 MB
% 2.58/0.99 % (3929011)Instructions burned: 180 (million)
% 2.58/0.99 % TRYING [8]
% 2.58/0.99 % (3929015)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=357890161:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.58/0.99 % TRYING [1]
% 2.58/0.99 % TRYING [2]
% 2.58/0.99 % TRYING [3]
% 2.58/0.99 % TRYING [4]
% 2.58/0.99 % TRYING [6]
% 2.58/0.99 % TRYING [5]
% 2.58/0.99 % TRYING [6]
% 2.58/0.99 % (3929005)Instruction limit reached!
% 2.58/0.99 % (3929005)------------------------------
% 2.58/0.99 % (3929005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3929005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3929005)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3929005)Termination reason: Instruction limit
% 2.58/0.99 % (3929005)Termination phase: Finite model building SAT solving
% 2.58/0.99 % (3929005)Time elapsed: 0.364 s
% 2.58/0.99 % (3929005)Peak memory usage: 19 MB
% 2.58/0.99 % (3929005)Instructions burned: 715 (million)
% 2.58/0.99 % (3929017)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3195979887:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.58/0.99 % (3929007)Instruction limit reached!
% 2.58/0.99 % (3929007)------------------------------
% 2.58/0.99 % (3929007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3929007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3929007)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3929007)Termination reason: Instruction limit
% 2.58/0.99 % (3929007)Termination phase: Saturation
% 2.58/0.99 % (3929007)Time elapsed: 0.395 s
% 2.58/0.99 % (3929007)Peak memory usage: 20 MB
% 2.58/0.99 % (3929007)Instructions burned: 685 (million)
% 2.58/0.99 % TRYING [7]
% 2.58/0.99 % TRYING [9]
% 2.58/0.99 % (3929019)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=728122994:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 2.58/0.99 % (3929017) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3928986-3929017"...
% 2.58/0.99 % (3929017)...printing done.
% 2.58/0.99 % (3929017)Refutation found. Thanks to Tanya!
% 2.58/0.99 % SZS status Theorem for theBenchmark
% 2.58/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/0.99 % (3929017)------------------------------
% 2.58/0.99 % (3929017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.99 % (3929017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.99 % (3929017)CaDiCaL version: 2.1.3
% 2.58/0.99 % (3929017)Termination reason: Refutation
% 2.58/0.99 % (3929017)Time elapsed: 0.059 s
% 2.58/0.99 % (3929017)Peak memory usage: 13 MB
% 2.58/0.99 % (3929017)Instructions burned: 87 (million)
% 2.58/0.99 % (3928986)Success in time 0.57 s
% 2.58/0.99 % Vampire exiting
%------------------------------------------------------------------------------