%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM535+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:15:38 PM UTC 2026
% Result : Theorem 6.32s 1.70s
% Output : Refutation 7.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 151 ( 18 unt; 12 def)
% Number of atoms : 680 ( 83 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 878 ( 349 ~; 391 |; 106 &)
% ( 26 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 7 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 197 ( 0 sgn 188 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617_02) ).
fof(f19,conjecture,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f20,negated_conjecture,
~ ( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f37,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(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(flattening,[],[f37]) ).
fof(f39,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(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(flattening,[],[f39]) ).
fof(f41,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(ennf_transformation,[],[f20]) ).
fof(f42,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(f43,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(f44,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f38,f43,f42]) ).
fof(f45,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(f46,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(f47,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f40,f46,f45]) ).
fof(f52,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,[],[f29]) ).
fof(f53,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,[],[f52]) ).
fof(f54,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,[],[f53]) ).
fof(f55,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))],[f54]) ).
fof(f56,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,[],[f43]) ).
fof(f57,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,[],[f56]) ).
fof(f58,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,[],[f42]) ).
fof(f59,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,[],[f58]) ).
fof(f60,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,[],[f59]) ).
fof(f61,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))],[f60]) ).
fof(f62,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,[],[f46]) ).
fof(f63,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,[],[f62]) ).
fof(f64,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,[],[f45]) ).
fof(f65,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,[],[f64]) ).
fof(f66,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,[],[f65]) ).
fof(f67,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))],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f75,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f81,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f83,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X2 = X4
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f85,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElement0(X4)
| X2 != X4
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f86,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f92,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f96,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f98,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f104,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f105,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f106,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f107,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(cnf_transformation,[],[f41]) ).
fof(f110,plain,
! [X0,X1] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f81]) ).
fof(f111,plain,
! [X0,X1,X4] :
( ~ sP0(X0,X1,X4)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f85]) ).
fof(f112,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f93]) ).
fof(f114,definition,
sF8 = sdtmndt0(xS,xx),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f115,plain,
sdtmndt0(xS,xx) = sF8,
inference(reorient_equations,[],[f114]) ).
fof(f116,definition,
sF9 = sdtpldt0(sF8,xx),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f117,plain,
sdtpldt0(sF8,xx) = sF9,
inference(reorient_equations,[],[f116]) ).
fof(f118,plain,
( ~ aSubsetOf0(xS,sF9)
| ~ aSubsetOf0(sF9,xS) ),
inference(definition_folding,[],[f107,f117,f115,f117,f115]) ).
fof(f120,definition,
( spl10_1
<=> aSubsetOf0(sF9,xS) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f122,plain,
( ~ aSubsetOf0(sF9,xS)
| spl10_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl10_2
<=> aSubsetOf0(xS,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f126,plain,
( ~ aSubsetOf0(xS,sF9)
| spl10_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f118,f124,f120]) ).
fof(f130,plain,
( sP2(sF8,xS,xx)
| ~ sP3(xx,xS) ),
inference(superposition,[],[f112,f115]) ).
fof(f132,definition,
( spl10_3
<=> sP3(xx,xS) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f133,plain,
( sP3(xx,xS)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( ~ sP3(xx,xS)
| spl10_3 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl10_4
<=> sP2(sF8,xS,xx) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f138,plain,
( sP2(sF8,xS,xx)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f130,f136,f132]) ).
fof(f140,plain,
( sP0(sF9,sF8,xx)
| ~ sP1(xx,sF8) ),
inference(superposition,[],[f110,f117]) ).
fof(f142,definition,
( spl10_5
<=> sP1(xx,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f143,plain,
( sP1(xx,sF8)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( ~ sP1(xx,sF8)
| spl10_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl10_6
<=> sP0(sF9,sF8,xx) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f148,plain,
( sP0(sF9,sF8,xx)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( ~ spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f140,f146,f142]) ).
fof(f150,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f68,f106]) ).
fof(f151,plain,
! [X0,X1] :
( aElement0(sK5(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f68,f75]) ).
fof(f152,plain,
! [X0,X1] :
( aElement0(sK5(X0,X1))
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f153,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[],[f150,f105]) ).
fof(f154,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f99,f112]) ).
fof(f155,plain,
( aSet0(sF8)
| ~ sP3(xx,xS) ),
inference(superposition,[],[f154,f115]) ).
fof(f156,plain,
( ~ aSet0(xS)
| ~ aElement0(xx)
| spl10_3 ),
inference(resolution,[],[f104,f134]) ).
fof(f157,plain,
( ~ aElement0(xx)
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f156,f105]) ).
fof(f158,plain,
( $false
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f157,f153]) ).
fof(f159,plain,
spl10_3,
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( aSet0(sF8)
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f155,f133]) ).
fof(f162,plain,
( ~ aSet0(sF8)
| ~ aElement0(xx)
| spl10_5 ),
inference(resolution,[],[f92,f144]) ).
fof(f163,plain,
( ~ aElement0(xx)
| ~ spl10_3
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f162,f160]) ).
fof(f164,plain,
( $false
| ~ spl10_3
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f163,f153]) ).
fof(f165,plain,
( ~ spl10_3
| spl10_5 ),
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f166,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ sP1(X1,X0) ),
inference(resolution,[],[f87,f110]) ).
fof(f167,plain,
( aSet0(sF9)
| ~ spl10_6 ),
inference(resolution,[],[f87,f148]) ).
fof(f169,plain,
! [X2,X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ sP1(X2,X1) ),
inference(resolution,[],[f86,f110]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK5(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(sK5(sdtpldt0(X0,X1),X2))
| ~ sP1(X1,X0)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f169,f76]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK5(sdtpldt0(X0,X1),X2),X0)
| ~ sP1(X1,X0)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f174,f152]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK5(sdtpldt0(X0,X1),X2),X0)
| ~ sP1(X1,X0)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f177,f166]) ).
fof(f180,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF8)
| aElementOf0(X0,xS) )
| ~ spl10_4 ),
inference(resolution,[],[f96,f138]) ).
fof(f187,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF9)
| xx = X0
| aElementOf0(X0,sF8) )
| ~ spl10_6 ),
inference(resolution,[],[f83,f148]) ).
fof(f188,plain,
( ! [X0] :
( xx = sK5(X0,sF9)
| aElementOf0(sK5(X0,sF9),sF8)
| ~ aSet0(sF9)
| aSubsetOf0(sF9,X0)
| ~ aSet0(X0) )
| ~ spl10_6 ),
inference(resolution,[],[f187,f75]) ).
fof(f189,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF9),sF8)
| xx = sK5(X0,sF9)
| aSubsetOf0(sF9,X0)
| ~ aSet0(X0) )
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f188,f167]) ).
fof(f191,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF9),xS)
| aSubsetOf0(sF9,X0)
| ~ aSet0(X0)
| xx = sK5(X0,sF9) )
| ~ spl10_4
| ~ spl10_6 ),
inference(resolution,[],[f189,f180]) ).
fof(f207,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| xx = sK5(xS,sF9)
| ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_4
| ~ spl10_6 ),
inference(resolution,[],[f191,f76]) ).
fof(f209,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| xx = sK5(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_4
| ~ spl10_6 ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f210,plain,
( ~ aSet0(xS)
| xx = sK5(xS,sF9)
| ~ aSet0(sF9)
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f209,f122]) ).
fof(f211,plain,
( xx = sK5(xS,sF9)
| ~ aSet0(sF9)
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f210,f105]) ).
fof(f212,plain,
( xx = sK5(xS,sF9)
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f211,f167]) ).
fof(f214,plain,
( ~ aElementOf0(xx,xS)
| ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(superposition,[],[f76,f212]) ).
fof(f217,plain,
( ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f214,f106]) ).
fof(f219,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f217,f167]) ).
fof(f221,plain,
( ~ aSet0(xS)
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f219,f122]) ).
fof(f222,plain,
( $false
| spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f221,f105]) ).
fof(f223,plain,
( spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f243,plain,
! [X0] :
( ~ aElementOf0(sK5(sF9,X0),sF8)
| ~ sP1(xx,sF8)
| ~ aSet0(X0)
| aSubsetOf0(X0,sF9) ),
inference(superposition,[],[f178,f117]) ).
fof(f248,plain,
( ! [X0] :
( ~ aElementOf0(sK5(sF9,X0),sF8)
| ~ aSet0(X0)
| aSubsetOf0(X0,sF9) )
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f243,f143]) ).
fof(f307,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| xx = X0
| aElementOf0(X0,sF8) )
| ~ spl10_4 ),
inference(resolution,[],[f98,f138]) ).
fof(f311,plain,
( ! [X0] :
( ~ aElement0(sK5(X0,xS))
| xx = sK5(X0,xS)
| aElementOf0(sK5(X0,xS),sF8)
| ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_4 ),
inference(resolution,[],[f307,f75]) ).
fof(f313,plain,
( ! [X0] :
( xx = sK5(X0,xS)
| aElementOf0(sK5(X0,xS),sF8)
| ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f311,f152]) ).
fof(f316,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS),sF8)
| xx = sK5(X0,xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f313,f105]) ).
fof(f317,plain,
( xx = sK5(sF9,xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ spl10_4
| ~ spl10_5 ),
inference(resolution,[],[f316,f248]) ).
fof(f325,plain,
( xx = sK5(sF9,xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ aSet0(xS)
| ~ spl10_4
| ~ spl10_5 ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f329,plain,
( xx = sK5(sF9,xS)
| ~ aSet0(sF9)
| ~ aSet0(xS)
| spl10_2
| ~ spl10_4
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f325,f126]) ).
fof(f332,plain,
( xx = sK5(sF9,xS)
| ~ aSet0(xS)
| spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f329,f167]) ).
fof(f342,plain,
( xx = sK5(sF9,xS)
| spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f332,f105]) ).
fof(f345,plain,
( ~ aElementOf0(xx,sF9)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(superposition,[],[f76,f342]) ).
fof(f347,plain,
( ~ aElementOf0(xx,sF9)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f345,f105]) ).
fof(f348,plain,
( ~ aElementOf0(xx,sF9)
| ~ aSet0(sF9)
| spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f347,f126]) ).
fof(f349,plain,
( ~ aElementOf0(xx,sF9)
| spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f348,f167]) ).
fof(f442,plain,
( ~ aElement0(xx)
| aElementOf0(xx,sF9)
| ~ spl10_6 ),
inference(resolution,[],[f111,f148]) ).
fof(f443,plain,
( aElementOf0(xx,sF9)
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f442,f153]) ).
fof(f444,plain,
( $false
| spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f443,f349]) ).
fof(f445,plain,
( spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(avatar_contradiction_clause,[],[f444]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(sat_conversion,[],[f127]) ).
cnf(s2,plain,
( ~ spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f139]) ).
cnf(s3,plain,
( ~ spl10_5
| spl10_6 ),
inference(sat_conversion,[],[f149]) ).
cnf(s4,plain,
spl10_3,
inference(sat_conversion,[],[f159]) ).
cnf(s5,plain,
( ~ spl10_3
| spl10_5 ),
inference(sat_conversion,[],[f165]) ).
cnf(s7,plain,
( spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(sat_conversion,[],[f223]) ).
cnf(s10,plain,
( spl10_2
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(sat_conversion,[],[f445]) ).
cnf(s11,plain,
spl10_5,
inference(rat,[],[s5,s4]) ).
cnf(s12,plain,
spl10_6,
inference(rat,[],[s3,s11]) ).
cnf(s13,plain,
spl10_4,
inference(rat,[],[s2,s4]) ).
cnf(s14,plain,
spl10_2,
inference(rat,[],[s10,s12,s11,s13]) ).
cnf(s16,plain,
spl10_1,
inference(rat,[],[s7,s12,s13]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s14,s16]) ).
fof(f446,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM535+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:24:39 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 6.32/1.69 % (2698675)Detected formulas, will run a generic FOF schedule.
% 6.32/1.69 % (2698686)dis-21_1_sil=8000:lcm=predicate:random_seed=579951381: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)
% 6.32/1.69 % (2698685)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2501600312:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.32/1.69 % (2698682)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=1295786037:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.32/1.69 % (2698681)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=1538313618:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.32/1.69 % (2698684)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=504726852:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.32/1.69 % (2698683)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=50045880:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.32/1.69 % (2698680)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=1573992307:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.32/1.69 % (2698683)Refutation not found, incomplete strategy
% 6.32/1.69 % (2698683)------------------------------
% 6.32/1.69 % (2698683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.69 % (2698683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.69 % (2698683)CaDiCaL version: 2.1.3
% 6.32/1.69 % (2698683)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.69 % (2698683)Time elapsed: 0.003 s
% 6.32/1.69 % (2698683)Peak memory usage: 88 MB
% 6.32/1.69 % (2698683)Instructions burned: 3 (million)
% 6.32/1.69 % (2698686)Instruction limit reached!
% 6.32/1.69 % (2698686)------------------------------
% 6.32/1.69 % (2698686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.69 % (2698686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.69 % (2698686)CaDiCaL version: 2.1.3
% 6.32/1.69 % (2698686)Termination reason: Instruction limit
% 6.32/1.69 % (2698686)Termination phase: Saturation
% 6.32/1.69 % (2698686)Time elapsed: 0.045 s
% 6.32/1.69 % (2698686)Peak memory usage: 90 MB
% 6.32/1.69 % (2698686)Instructions burned: 131 (million)
% 6.32/1.69 % (2698684)Instruction limit reached!
% 6.32/1.69 % (2698684)------------------------------
% 6.32/1.69 % (2698684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.69 % (2698684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.69 % (2698684)CaDiCaL version: 2.1.3
% 6.32/1.69 % (2698684)Termination reason: Instruction limit
% 6.32/1.69 % (2698684)Termination phase: Saturation
% 6.32/1.69 % (2698684)Time elapsed: 0.075 s
% 6.32/1.69 % (2698684)Peak memory usage: 88 MB
% 6.32/1.69 % (2698684)Instructions burned: 120 (million)
% 6.32/1.69 % (2698685)Instruction limit reached!
% 6.32/1.69 % (2698685)------------------------------
% 6.32/1.69 % (2698685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.69 % (2698685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.69 % (2698685)CaDiCaL version: 2.1.3
% 6.32/1.69 % (2698685)Termination reason: Instruction limit
% 6.32/1.69 % (2698685)Termination phase: Saturation
% 6.32/1.69 % (2698685)Time elapsed: 0.101 s
% 6.32/1.69 % (2698685)Peak memory usage: 90 MB
% 6.32/1.69 % (2698685)Instructions burned: 140 (million)
% 6.32/1.69 % (2698694)lrs+10_1_sil=8000:sp=occurrence:random_seed=3115431674:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.32/1.69 % (2698695)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2782436418:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.32/1.69 % (2698694)Instruction limit reached!
% 6.32/1.69 % (2698694)------------------------------
% 6.32/1.69 % (2698694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.69 % (2698694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.69 % (2698694)CaDiCaL version: 2.1.3
% 6.32/1.69 % (2698694)Termination reason: Instruction limit
% 6.32/1.69 % (2698694)Termination phase: Saturation
% 6.32/1.69 % (2698694)Time elapsed: 0.096 s
% 6.32/1.69 % (2698694)Peak memory usage: 91 MB
% 6.32/1.69 % (2698694)Instructions burned: 286 (million)
% 6.32/1.69 % (2698683)------------------------------
% 6.32/1.69 % (2698683)------------------------------
% 6.32/1.69 % (2698696)lrs+1011_1_sil=32000:sp=occurrence:random_seed=229526039:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.32/1.69 % (2698695)Instruction limit reached!
% 6.32/1.69 % (2698695)------------------------------
% 6.32/1.69 % (2698695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.69 % (2698695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.69 % (2698695)CaDiCaL version: 2.1.3
% 6.32/1.69 % (2698695)Termination reason: Instruction limit
% 6.32/1.69 % (2698695)Termination phase: Saturation
% 6.32/1.69 % (2698695)Time elapsed: 0.079 s
% 6.32/1.69 % (2698695)Peak memory usage: 89 MB
% 6.32/1.69 % (2698695)Instructions burned: 157 (million)
% 6.32/1.69 % (2698699)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=1863606208:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.32/1.69 % (2698700)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1997263886:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.32/1.69 % (2698699)Instruction limit reached!
% 6.32/1.69 % (2698699)------------------------------
% 6.32/1.69 % (2698699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.69 % (2698699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.69 % (2698699)CaDiCaL version: 2.1.3
% 6.32/1.69 % (2698699)Termination reason: Instruction limit
% 6.32/1.69 % (2698699)Termination phase: Saturation
% 6.32/1.69 % (2698699)Time elapsed: 0.079 s
% 6.32/1.69 % (2698699)Peak memory usage: 91 MB
% 6.32/1.69 % (2698699)Instructions burned: 250 (million)
% 6.32/1.69 % (2698702)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3630133616:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.32/1.69 % (2698696)Instruction limit reached!
% 6.32/1.69 % (2698696)------------------------------
% 6.32/1.69 % (2698696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.70 % (2698696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.70 % (2698696)CaDiCaL version: 2.1.3
% 6.32/1.70 % (2698696)Termination reason: Instruction limit
% 6.32/1.70 % (2698696)Termination phase: Saturation
% 6.32/1.70 % (2698696)Time elapsed: 0.223 s
% 6.32/1.70 % (2698696)Peak memory usage: 92 MB
% 6.32/1.70 % (2698696)Instructions burned: 326 (million)
% 6.32/1.70 % (2698700)Instruction limit reached!
% 6.32/1.70 % (2698700)------------------------------
% 6.32/1.70 % (2698700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.70 % (2698700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.70 % (2698700)CaDiCaL version: 2.1.3
% 6.32/1.70 % (2698700)Termination reason: Instruction limit
% 6.32/1.70 % (2698700)Termination phase: Saturation
% 6.32/1.70 % (2698700)Time elapsed: 0.149 s
% 6.32/1.70 % (2698700)Peak memory usage: 88 MB
% 6.32/1.70 % (2698700)Instructions burned: 296 (million)
% 6.32/1.70 % (2698705)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=428535587:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.32/1.70 % (2698705)Instruction limit reached!
% 6.32/1.70 % (2698705)------------------------------
% 6.32/1.70 % (2698705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.70 % (2698705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.70 % (2698705)CaDiCaL version: 2.1.3
% 6.32/1.70 % (2698705)Termination reason: Instruction limit
% 6.32/1.70 % (2698705)Termination phase: Saturation
% 6.32/1.70 % (2698705)Time elapsed: 0.046 s
% 6.32/1.70 % (2698705)Peak memory usage: 90 MB
% 6.32/1.70 % (2698705)Instructions burned: 116 (million)
% 6.32/1.70 % (2698707)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1914223512:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.32/1.70 % (2698680)First to succeed.
% 6.32/1.70 % (2698680)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2698675"
% 6.32/1.70 % (2698707)Instruction limit reached!
% 6.32/1.70 % (2698707)------------------------------
% 6.32/1.70 % (2698707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.70 % (2698707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.70 % (2698707)CaDiCaL version: 2.1.3
% 6.32/1.70 % (2698707)Termination reason: Instruction limit
% 6.32/1.70 % (2698707)Termination phase: Saturation
% 6.32/1.70 % (2698707)Time elapsed: 0.068 s
% 6.32/1.70 % (2698707)Peak memory usage: 89 MB
% 6.32/1.70 % (2698707)Instructions burned: 127 (million)
% 6.32/1.70 % (2698709)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3427684050:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.32/1.70 % (2698710)lrs+10_1_sil=8000:sp=occurrence:random_seed=2881089536:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.32/1.70 % (2698709)Instruction limit reached!
% 6.32/1.70 % (2698709)------------------------------
% 6.32/1.70 % (2698709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.32/1.70 % (2698709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.70 % (2698709)CaDiCaL version: 2.1.3
% 6.32/1.70 % (2698709)Termination reason: Instruction limit
% 6.32/1.70 % (2698709)Termination phase: Saturation
% 6.32/1.70 % (2698709)Time elapsed: 0.068 s
% 6.32/1.70 % (2698709)Peak memory usage: 89 MB
% 6.32/1.70 % (2698709)Instructions burned: 114 (million)
% 6.32/1.70 % (2698712)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2587673828:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.32/1.70 % (2698680)Refutation found. Thanks to Tanya!
% 6.32/1.70 % SZS status Theorem for theBenchmark
% 6.32/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 7.95/1.89 % (2698680)------------------------------
% 7.95/1.89 % (2698680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.95/1.89 % (2698680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.89 % (2698680)CaDiCaL version: 2.1.3
% 7.95/1.89 % (2698680)Termination reason: Refutation
% 7.95/1.89 % (2698680)Time elapsed: 0.659 s
% 7.95/1.89 % (2698680)Peak memory usage: 127 MB
% 7.95/1.89 % (2698680)Instructions burned: 974 (million)
% 7.95/1.89 % (2698680)------------------------------
% 7.95/1.89 % (2698680)------------------------------
% 7.95/1.89 % (2698675)Success in time 1.077 s
% 7.95/1.89 % Vampire exiting
%------------------------------------------------------------------------------