%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM535+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 : n002.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 12:24:42 PM UTC 2026
% Result : Theorem 1.75s 0.73s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 167 ( 23 unt; 16 def)
% Number of atoms : 661 ( 74 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 819 ( 325 ~; 352 |; 106 &)
% ( 30 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 11 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 180 ( 0 sgn 171 !; 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(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/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/sandbox2/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] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X0,X1),X1)
| ~ 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] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
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(f97,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElement0(X4) ),
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] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP3(X1,X0) ),
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(f128,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f68,f106]) ).
fof(f129,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[],[f128,f105]) ).
fof(f132,plain,
! [X0] :
( ~ aSet0(X0)
| sP1(xx,X0) ),
inference(resolution,[],[f92,f129]) ).
fof(f133,plain,
! [X0] :
( ~ aSet0(X0)
| sP3(xx,X0) ),
inference(resolution,[],[f104,f129]) ).
fof(f141,plain,
sP3(xx,xS),
inference(resolution,[],[f133,f105]) ).
fof(f144,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X1,X0))
| ~ sP1(X0,X1) ),
inference(resolution,[],[f110,f87]) ).
fof(f145,plain,
( sP0(sF9,sF8,xx)
| ~ sP1(xx,sF8) ),
inference(superposition,[],[f110,f117]) ).
fof(f147,definition,
( spl10_3
<=> sP1(xx,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f148,plain,
( sP1(xx,sF8)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f149,plain,
( ~ sP1(xx,sF8)
| spl10_3 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f151,definition,
( spl10_4
<=> sP0(sF9,sF8,xx) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f153,plain,
( sP0(sF9,sF8,xx)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f145,f151,f147]) ).
fof(f158,plain,
( aSet0(sF9)
| ~ sP1(xx,sF8) ),
inference(superposition,[],[f144,f117]) ).
fof(f162,plain,
( sP2(sF8,xS,xx)
| ~ sP3(xx,xS) ),
inference(superposition,[],[f112,f115]) ).
fof(f163,plain,
sP2(sF8,xS,xx),
inference(forward_subsumption_resolution,[],[f162,f141]) ).
fof(f164,plain,
! [X0] :
( ~ aElementOf0(X0,sF8)
| aElement0(X0) ),
inference(resolution,[],[f163,f97]) ).
fof(f166,plain,
aSet0(sF8),
inference(resolution,[],[f163,f99]) ).
fof(f168,plain,
! [X0] :
( ~ aElementOf0(X0,sF8)
| aElementOf0(X0,xS) ),
inference(resolution,[],[f96,f163]) ).
fof(f170,plain,
sP1(xx,sF8),
inference(resolution,[],[f166,f132]) ).
fof(f171,plain,
( $false
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f170,f149]) ).
fof(f172,plain,
spl10_3,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f173,plain,
( aSet0(sF9)
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f158,f148]) ).
fof(f178,plain,
( ~ aSet0(sF9)
| aElementOf0(sK5(xS,sF9),sF9)
| ~ aSet0(xS)
| spl10_1 ),
inference(resolution,[],[f75,f122]) ).
fof(f185,plain,
( aElementOf0(sK5(xS,sF9),sF9)
| ~ aSet0(xS)
| spl10_1
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f178,f173]) ).
fof(f186,plain,
( aElementOf0(sK5(xS,sF9),sF9)
| spl10_1
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f185,f105]) ).
fof(f219,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| xx = X0
| aElementOf0(X0,sF8) ),
inference(resolution,[],[f98,f163]) ).
fof(f261,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF9)
| xx = X0
| aElementOf0(X0,sF8) )
| ~ spl10_4 ),
inference(resolution,[],[f153,f83]) ).
fof(f262,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,sF8)
| aElementOf0(X0,sF9) )
| ~ spl10_4 ),
inference(resolution,[],[f153,f86]) ).
fof(f264,plain,
( ~ aElement0(xx)
| aElementOf0(xx,sF9)
| ~ spl10_4 ),
inference(resolution,[],[f153,f111]) ).
fof(f267,plain,
( aElementOf0(xx,sF9)
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f264,f129]) ).
fof(f268,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF8)
| aElementOf0(X0,sF9) )
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f262,f164]) ).
fof(f673,definition,
( spl10_12
<=> aElementOf0(sK5(xS,sF9),xS) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f675,plain,
( aElementOf0(sK5(xS,sF9),xS)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f768,plain,
( xx = sK5(xS,sF9)
| aElementOf0(sK5(xS,sF9),sF8)
| spl10_1
| ~ spl10_3
| ~ spl10_4 ),
inference(resolution,[],[f261,f186]) ).
fof(f843,definition,
( spl10_23
<=> aElementOf0(sK5(xS,sF9),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition]) ).
fof(f845,plain,
( aElementOf0(sK5(xS,sF9),sF8)
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,definition,
( spl10_24
<=> xx = sK5(xS,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).
fof(f849,plain,
( xx = sK5(xS,sF9)
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f850,plain,
( spl10_23
| spl10_24
| spl10_1
| ~ spl10_3
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f768,f151,f147,f120,f847,f843]) ).
fof(f874,definition,
( spl10_27
<=> aElementOf0(sK5(sF9,xS),xS) ),
introduced(definition,[new_symbols(definition,[spl10_27])],[avatar_definition]) ).
fof(f876,plain,
( aElementOf0(sK5(sF9,xS),xS)
| ~ spl10_27 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f887,plain,
( ~ aSet0(xS)
| aElementOf0(sK5(sF9,xS),xS)
| ~ aSet0(sF9)
| spl10_2 ),
inference(resolution,[],[f126,f75]) ).
fof(f888,plain,
( aElementOf0(sK5(sF9,xS),xS)
| ~ aSet0(sF9)
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f887,f105]) ).
fof(f889,plain,
( aElementOf0(sK5(sF9,xS),xS)
| spl10_2
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f888,f173]) ).
fof(f890,plain,
( spl10_27
| spl10_2
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f889,f147,f124,f874]) ).
fof(f942,plain,
( aElement0(sK5(sF9,xS))
| ~ aSet0(xS)
| ~ spl10_27 ),
inference(resolution,[],[f876,f68]) ).
fof(f943,plain,
( aElement0(sK5(sF9,xS))
| ~ spl10_27 ),
inference(forward_subsumption_resolution,[],[f942,f105]) ).
fof(f1016,plain,
( aElementOf0(sK5(xS,sF9),xS)
| ~ spl10_23 ),
inference(resolution,[],[f845,f168]) ).
fof(f1022,plain,
( spl10_12
| ~ spl10_23 ),
inference(avatar_split_clause,[],[f1016,f843,f673]) ).
fof(f1231,plain,
( ~ aElement0(sK5(sF9,xS))
| xx = sK5(sF9,xS)
| aElementOf0(sK5(sF9,xS),sF8)
| ~ spl10_27 ),
inference(resolution,[],[f219,f876]) ).
fof(f1269,plain,
( xx = sK5(sF9,xS)
| aElementOf0(sK5(sF9,xS),sF8)
| ~ spl10_27 ),
inference(forward_subsumption_resolution,[],[f1231,f943]) ).
fof(f1278,definition,
( spl10_34
<=> aElementOf0(sK5(sF9,xS),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_34])],[avatar_definition]) ).
fof(f1280,plain,
( aElementOf0(sK5(sF9,xS),sF8)
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1282,definition,
( spl10_35
<=> xx = sK5(sF9,xS) ),
introduced(definition,[new_symbols(definition,[spl10_35])],[avatar_definition]) ).
fof(f1284,plain,
( xx = sK5(sF9,xS)
| ~ spl10_35 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1285,plain,
( spl10_34
| spl10_35
| ~ spl10_27 ),
inference(avatar_split_clause,[],[f1269,f874,f1282,f1278]) ).
fof(f1473,plain,
( ~ aElementOf0(xx,xS)
| ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_24 ),
inference(superposition,[],[f76,f849]) ).
fof(f1474,plain,
( ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_24 ),
inference(forward_subsumption_resolution,[],[f1473,f106]) ).
fof(f1475,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_3
| ~ spl10_24 ),
inference(forward_subsumption_resolution,[],[f1474,f173]) ).
fof(f1476,plain,
( ~ aSet0(xS)
| spl10_1
| ~ spl10_3
| ~ spl10_24 ),
inference(forward_subsumption_resolution,[],[f1475,f122]) ).
fof(f1477,plain,
( $false
| spl10_1
| ~ spl10_3
| ~ spl10_24 ),
inference(forward_subsumption_resolution,[],[f1476,f105]) ).
fof(f1478,plain,
( spl10_1
| ~ spl10_3
| ~ spl10_24 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1499,plain,
( ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_12 ),
inference(resolution,[],[f675,f76]) ).
fof(f1505,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_3
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f1499,f173]) ).
fof(f1506,plain,
( ~ aSet0(xS)
| spl10_1
| ~ spl10_3
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f1505,f122]) ).
fof(f1507,plain,
( $false
| spl10_1
| ~ spl10_3
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f1506,f105]) ).
fof(f1508,plain,
( spl10_1
| ~ spl10_3
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1603,plain,
( aElementOf0(sK5(sF9,xS),sF9)
| ~ spl10_4
| ~ spl10_34 ),
inference(resolution,[],[f1280,f268]) ).
fof(f1823,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_4
| ~ spl10_34 ),
inference(resolution,[],[f1603,f76]) ).
fof(f1830,plain,
( aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_4
| ~ spl10_34 ),
inference(forward_subsumption_resolution,[],[f1823,f105]) ).
fof(f1831,plain,
( ~ aSet0(sF9)
| spl10_2
| ~ spl10_4
| ~ spl10_34 ),
inference(forward_subsumption_resolution,[],[f1830,f126]) ).
fof(f1832,plain,
( $false
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_34 ),
inference(forward_subsumption_resolution,[],[f1831,f173]) ).
fof(f1833,plain,
( spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_34 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1845,plain,
( ~ aElementOf0(xx,sF9)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_35 ),
inference(superposition,[],[f76,f1284]) ).
fof(f1846,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_4
| ~ spl10_35 ),
inference(forward_subsumption_resolution,[],[f1845,f267]) ).
fof(f1847,plain,
( aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_4
| ~ spl10_35 ),
inference(forward_subsumption_resolution,[],[f1846,f105]) ).
fof(f1848,plain,
( ~ aSet0(sF9)
| spl10_2
| ~ spl10_4
| ~ spl10_35 ),
inference(forward_subsumption_resolution,[],[f1847,f126]) ).
fof(f1849,plain,
( $false
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_35 ),
inference(forward_subsumption_resolution,[],[f1848,f173]) ).
fof(f1850,plain,
( spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_35 ),
inference(avatar_contradiction_clause,[],[f1849]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(sat_conversion,[],[f127]) ).
cnf(s2,plain,
( ~ spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f154]) ).
cnf(s3,plain,
spl10_3,
inference(sat_conversion,[],[f172]) ).
cnf(s14,plain,
( spl10_1
| ~ spl10_3
| ~ spl10_4
| spl10_23
| spl10_24 ),
inference(sat_conversion,[],[f850]) ).
cnf(s18,plain,
( spl10_2
| ~ spl10_3
| spl10_27 ),
inference(sat_conversion,[],[f890]) ).
cnf(s21,plain,
( spl10_12
| ~ spl10_23 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s23,plain,
( ~ spl10_27
| spl10_34
| spl10_35 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s34,plain,
( spl10_1
| ~ spl10_3
| ~ spl10_24 ),
inference(sat_conversion,[],[f1478]) ).
cnf(s36,plain,
( spl10_1
| ~ spl10_3
| ~ spl10_12 ),
inference(sat_conversion,[],[f1508]) ).
cnf(s42,plain,
( spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_34 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s43,plain,
( spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_35 ),
inference(sat_conversion,[],[f1850]) ).
cnf(s47,plain,
spl10_4,
inference(rat,[],[s2,s3]) ).
cnf(s49,plain,
spl10_1,
inference(rat,[],[s21,s14,s34,s36,s3,s47]) ).
cnf(s50,plain,
~ spl10_2,
inference(rat,[],[s1,s49]) ).
cnf(s51,plain,
~ spl10_35,
inference(rat,[],[s43,s47,s3,s50]) ).
cnf(s52,plain,
~ spl10_34,
inference(rat,[],[s42,s47,s3,s50]) ).
cnf(s53,plain,
spl10_27,
inference(rat,[],[s18,s3,s50]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s23,s51,s52,s53]) ).
fof(f1851,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM535+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 20:25:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 1.75/0.73 % (3852045)Will run a generic schedule for satisfiability detection.
% 1.75/0.73 % (3852054)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=673933542:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.75/0.73 % (3852051)% WARNING: option uhcvi not known.
% 1.75/0.73 % (3852053)dis+10_1_sil=32000:sp=arity:random_seed=767501887:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.75/0.73 % (3852050)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=658813510_2999 on theBenchmark for (2999ds/0Mi)
% 1.75/0.73 % (3852051)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1340133982:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.75/0.73 % (3852052)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2311567897:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.75/0.73 % (3852055)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4174956763:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.75/0.73 % (3852056)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1981806074:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.75/0.73 % TRYING [1]
% 1.75/0.73 % TRYING [2]
% 1.75/0.73 % TRYING [3]
% 1.75/0.73 % TRYING [4]
% 1.75/0.73 % TRYING [5]
% 1.75/0.73 % (3852054)Instruction limit reached!
% 1.75/0.73 % (3852054)------------------------------
% 1.75/0.73 % (3852054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852054)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852054)Termination reason: Instruction limit
% 1.75/0.73 % (3852054)Termination phase: Saturation
% 1.75/0.73 % (3852054)Time elapsed: 0.038 s
% 1.75/0.73 % (3852054)Peak memory usage: 12 MB
% 1.75/0.73 % (3852054)Instructions burned: 118 (million)
% 1.75/0.73 % (3852064)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4022543940:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.75/0.73 % TRYING [1]
% 1.75/0.73 % TRYING [2]
% 1.75/0.73 % TRYING [3]
% 1.75/0.73 % TRYING [6]
% 1.75/0.73 % TRYING [4]
% 1.75/0.73 % TRYING [5]
% 1.75/0.73 % (3852053)Instruction limit reached!
% 1.75/0.73 % (3852053)------------------------------
% 1.75/0.73 % (3852053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852053)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852053)Termination reason: Instruction limit
% 1.75/0.73 % (3852053)Termination phase: Saturation
% 1.75/0.73 % (3852053)Time elapsed: 0.069 s
% 1.75/0.73 % (3852053)Peak memory usage: 12 MB
% 1.75/0.73 % (3852053)Instructions burned: 103 (million)
% 1.75/0.73 % (3852055)Instruction limit reached!
% 1.75/0.73 % (3852055)------------------------------
% 1.75/0.73 % (3852055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852055)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852055)Termination reason: Instruction limit
% 1.75/0.73 % (3852055)Termination phase: Saturation
% 1.75/0.73 % (3852055)Time elapsed: 0.085 s
% 1.75/0.73 % (3852055)Peak memory usage: 13 MB
% 1.75/0.73 % (3852055)Instructions burned: 131 (million)
% 1.75/0.73 % (3852066)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3612174667:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.75/0.73 % (3852067)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=1257935984:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.75/0.73 % TRYING [7]
% 1.75/0.73 % (3852056)Instruction limit reached!
% 1.75/0.73 % (3852056)------------------------------
% 1.75/0.73 % (3852056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852056)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852056)Termination reason: Instruction limit
% 1.75/0.73 % (3852056)Termination phase: Saturation
% 1.75/0.73 % (3852056)Time elapsed: 0.112 s
% 1.75/0.73 % (3852056)Peak memory usage: 14 MB
% 1.75/0.73 % (3852056)Instructions burned: 160 (million)
% 1.75/0.73 % (3852070)ott-21_1_sil=16000:fs=off:random_seed=4292488360:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.75/0.73 % TRYING [6]
% 1.75/0.73 % (3852066)Instruction limit reached!
% 1.75/0.73 % (3852066)------------------------------
% 1.75/0.73 % (3852066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852066)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852066)Termination reason: Instruction limit
% 1.75/0.73 % (3852066)Termination phase: Saturation
% 1.75/0.73 % (3852066)Time elapsed: 0.087 s
% 1.75/0.73 % (3852066)Peak memory usage: 13 MB
% 1.75/0.73 % (3852066)Instructions burned: 132 (million)
% 1.75/0.73 % (3852072)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=954014871:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.75/0.73 % TRYING [8]
% 1.75/0.73 % (3852070)Instruction limit reached!
% 1.75/0.73 % (3852070)------------------------------
% 1.75/0.73 % (3852070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852070)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852070)Termination reason: Instruction limit
% 1.75/0.73 % (3852070)Termination phase: Saturation
% 1.75/0.73 % (3852070)Time elapsed: 0.095 s
% 1.75/0.73 % (3852070)Peak memory usage: 13 MB
% 1.75/0.73 % (3852070)Instructions burned: 181 (million)
% 1.75/0.73 % (3852064)Instruction limit reached!
% 1.75/0.73 % (3852064)------------------------------
% 1.75/0.73 % (3852064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852064)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852064)Termination reason: Instruction limit
% 1.75/0.73 % (3852064)Termination phase: Finite model building SAT solving
% 1.75/0.73 % (3852064)Time elapsed: 0.201 s
% 1.75/0.73 % (3852064)Peak memory usage: 20 MB
% 1.75/0.73 % (3852064)Instructions burned: 717 (million)
% 1.75/0.73 % (3852074)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1123603078:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.75/0.73 % TRYING [1]
% 1.75/0.73 % TRYING [2]
% 1.75/0.73 % TRYING [3]
% 1.75/0.73 % (3852075)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3527646197:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.75/0.73 % TRYING [4]
% 1.75/0.73 % (3852075) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3852045-3852075"...
% 1.75/0.73 % (3852075)...printing done.
% 1.75/0.73 % (3852075)Refutation found. Thanks to Tanya!
% 1.75/0.73 % SZS status Theorem for theBenchmark
% 1.75/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.73 % (3852075)------------------------------
% 1.75/0.73 % (3852075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (3852075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (3852075)CaDiCaL version: 2.1.3
% 1.75/0.73 % (3852075)Termination reason: Refutation
% 1.75/0.73 % (3852075)Time elapsed: 0.024 s
% 1.75/0.73 % (3852075)Peak memory usage: 13 MB
% 1.75/0.73 % (3852075)Instructions burned: 66 (million)
% 1.75/0.73 % (3852045)Success in time 0.322 s
% 1.75/0.73 % Vampire exiting
%------------------------------------------------------------------------------