%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:38 PM UTC 2026
% Result : Theorem 5.10s 11.74s
% Output : Refutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 115 ( 11 unt; 5 def)
% Number of atoms : 549 ( 89 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 709 ( 275 ~; 311 |; 98 &)
% ( 19 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 161 ( 0 sgn 152 !; 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(f26,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f40,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(f41,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,[],[f40]) ).
fof(f42,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(f43,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,[],[f42]) ).
fof(f45,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(ennf_transformation,[],[f21]) ).
fof(f50,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,[],[f32]) ).
fof(f51,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,[],[f50]) ).
fof(f52,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,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(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) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f41]) ).
fof(f55,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(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) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(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)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X0)
& X1 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X0)
| X1 = X4 ) )
| ~ aElementOf0(X4,X2) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElement0(sK2(X0,X1,X2))
| ( ~ aElementOf0(sK2(X0,X1,X2),X0)
& sK2(X0,X1,X2) != X1 )
| ~ aElementOf0(sK2(X0,X1,X2),X2) )
& ( ( aElement0(sK2(X0,X1,X2))
& ( aElementOf0(sK2(X0,X1,X2),X0)
| sK2(X0,X1,X2) = X1 ) )
| aElementOf0(sK2(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X0)
& X1 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X0)
| X1 = X4 ) )
| ~ aElementOf0(X4,X2) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(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) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f43]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(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) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(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)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElement0(sK3(X0,X1,X2))
| ~ aElementOf0(sK3(X0,X1,X2),X0)
| sK3(X0,X1,X2) = X1
| ~ aElementOf0(sK3(X0,X1,X2),X2) )
& ( ( aElement0(sK3(X0,X1,X2))
& aElementOf0(sK3(X0,X1,X2),X0)
& sK3(X0,X1,X2) != X1 )
| aElementOf0(sK3(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK1(X0,X1),X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK1(X0,X1),X0)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f77,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| X1 = X4
| ~ aElementOf0(X4,X2)
| sdtpldt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f80,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| sdtpldt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f81,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
! [X2,X0,X1,X4] :
( X1 != X4
| ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f87,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f89,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f90,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f96,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f97,plain,
aElement0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f98,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f99,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(cnf_transformation,[],[f45]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aSet0(sdtpldt0(X0,X1)) ),
inference(equality_resolution,[],[f81]) ).
fof(f104,plain,
! [X0,X1,X4] :
( aElementOf0(X4,sdtpldt0(X0,X1))
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f80]) ).
fof(f108,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| X1 = X4
| ~ aElementOf0(X4,sdtpldt0(X0,X1))
| ~ aSet0(X0)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f77]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aSet0(sdtmndt0(X0,X1)) ),
inference(equality_resolution,[],[f90]) ).
fof(f110,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4
| ~ aSet0(X0)
| aElementOf0(X4,sdtmndt0(X0,X1)) ),
inference(equality_resolution,[],[f89]) ).
fof(f112,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElementOf0(X4,sdtmndt0(X0,X1))
| ~ aSet0(X0)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f113,plain,
! [X2,X0,X4] :
( ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X4) != X2
| ~ aSet0(X0)
| ~ aElement0(X4) ),
inference(equality_resolution,[],[f86]) ).
fof(f114,plain,
! [X0,X4] :
( ~ aElementOf0(X4,sdtmndt0(X0,X4))
| ~ aSet0(X0)
| ~ aElement0(X4) ),
inference(equality_resolution,[],[f113]) ).
fof(f117,definition,
( spl4_1
<=> aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f118,plain,
( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| spl4_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,definition,
( spl4_2
<=> aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f121,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl4_2 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f99,f120,f117]) ).
fof(f123,plain,
! [X0] :
( ~ aElementOf0(sK1(xS,X0),xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(resolution,[],[f96,f72]) ).
fof(f124,plain,
! [X0] :
( aElementOf0(sK1(xS,X0),X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(resolution,[],[f96,f71]) ).
fof(f127,plain,
! [X0] :
( ~ aSet0(X0)
| aSet0(sdtpldt0(X0,xx)) ),
inference(resolution,[],[f97,f103]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt0(X1,xx))
| xx = X0
| ~ aSet0(X1)
| aElementOf0(X0,X1) ),
inference(resolution,[],[f108,f97]) ).
fof(f130,plain,
! [X0] :
( ~ aSet0(X0)
| aSet0(sdtmndt0(X0,xx)) ),
inference(resolution,[],[f109,f97]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,xx))
| aElementOf0(X0,X1) ),
inference(resolution,[],[f112,f97]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,X1)
| xx = X0
| ~ aSet0(X1)
| aElementOf0(X0,sdtmndt0(X1,xx)) ),
inference(resolution,[],[f110,f97]) ).
fof(f135,plain,
! [X0,X1] :
( aElementOf0(X0,sdtmndt0(X1,xx))
| xx = X0
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(forward_subsumption_resolution,[],[f134,f62]) ).
fof(f143,plain,
aSet0(sdtpldt0(xS,xx)),
inference(resolution,[],[f127,f96]) ).
fof(f146,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(resolution,[],[f143,f132]) ).
fof(f147,plain,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(resolution,[],[f143,f130]) ).
fof(f285,plain,
! [X0] :
( ~ aSet0(X0)
| aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[],[f147,f71]) ).
fof(f286,plain,
! [X0] :
( ~ aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[],[f147,f72]) ).
fof(f319,plain,
( aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),xS),xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[],[f285,f96]) ).
fof(f322,definition,
( spl4_25
<=> aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),xS),xS) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f323,plain,
( aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),xS),xS)
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( spl4_2
| spl4_25 ),
inference(avatar_split_clause,[],[f319,f322,f120]) ).
fof(f887,plain,
( aElementOf0(sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(resolution,[],[f146,f124]) ).
fof(f889,plain,
( aElementOf0(sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(forward_subsumption_resolution,[],[f887,f147]) ).
fof(f890,plain,
( aElementOf0(sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f889,f118]) ).
fof(f892,plain,
( xx = sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS)
| aElementOf0(sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| spl4_1 ),
inference(resolution,[],[f890,f129]) ).
fof(f894,plain,
( xx = sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f892,f96]) ).
fof(f922,definition,
( spl4_67
<=> aElementOf0(sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xS) ),
introduced(definition,[new_symbols(definition,[spl4_67])],[avatar_definition]) ).
fof(f923,plain,
( aElementOf0(sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| ~ spl4_67 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f925,definition,
( spl4_68
<=> xx = sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[spl4_68])],[avatar_definition]) ).
fof(f926,plain,
( xx = sK1(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f927,plain,
( spl4_67
| spl4_68
| spl4_1 ),
inference(avatar_split_clause,[],[f894,f117,f925,f922]) ).
fof(f937,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ spl4_68 ),
inference(superposition,[],[f124,f926]) ).
fof(f938,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ spl4_68 ),
inference(forward_subsumption_resolution,[],[f937,f147]) ).
fof(f939,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl4_1
| ~ spl4_68 ),
inference(forward_subsumption_resolution,[],[f938,f118]) ).
fof(f948,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| ~ aElement0(xx)
| spl4_1
| ~ spl4_68 ),
inference(resolution,[],[f939,f114]) ).
fof(f950,plain,
( ~ aElement0(xx)
| spl4_1
| ~ spl4_68 ),
inference(forward_subsumption_resolution,[],[f948,f143]) ).
fof(f951,plain,
( $false
| spl4_1
| ~ spl4_68 ),
inference(forward_subsumption_resolution,[],[f950,f97]) ).
fof(f952,plain,
( spl4_1
| ~ spl4_68 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f955,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ spl4_67 ),
inference(resolution,[],[f923,f123]) ).
fof(f960,plain,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ spl4_67 ),
inference(forward_subsumption_resolution,[],[f955,f147]) ).
fof(f961,plain,
( $false
| spl4_1
| ~ spl4_67 ),
inference(forward_subsumption_resolution,[],[f960,f118]) ).
fof(f962,plain,
( spl4_1
| ~ spl4_67 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f1006,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),sdtpldt0(xS,xx)) ),
inference(resolution,[],[f286,f135]) ).
fof(f1007,plain,
! [X0] :
( ~ aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),sdtpldt0(xS,xx))
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[],[f1006,f143]) ).
fof(f1245,plain,
! [X0] :
( aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| ~ aElement0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| ~ aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),xS)
| ~ aSet0(xS)
| ~ aElement0(xx) ),
inference(resolution,[],[f1007,f104]) ).
fof(f1246,plain,
! [X0] :
( aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),xS)
| ~ aSet0(xS)
| ~ aElement0(xx) ),
inference(forward_subsumption_resolution,[],[f1245,f62]) ).
fof(f2887,plain,
! [X0] :
( aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),xS)
| ~ aElement0(xx) ),
inference(forward_subsumption_resolution,[],[f1246,f96]) ).
fof(f2891,plain,
! [X0] :
( ~ aElementOf0(sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0),xS)
| xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(forward_subsumption_resolution,[],[f2887,f97]) ).
fof(f3026,plain,
( xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl4_25 ),
inference(resolution,[],[f2891,f323]) ).
fof(f3027,plain,
( xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f3026,f96]) ).
fof(f3028,plain,
( xx = sK1(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| spl4_2
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f3027,f121]) ).
fof(f3030,plain,
( aElementOf0(xx,xS)
| spl4_2
| ~ spl4_25 ),
inference(superposition,[],[f323,f3028]) ).
fof(f3032,plain,
( $false
| spl4_2
| ~ spl4_25 ),
inference(forward_subsumption_resolution,[],[f3030,f98]) ).
fof(f3033,plain,
( spl4_2
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f3032]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f122]) ).
cnf(s13,plain,
( spl4_2
| spl4_25 ),
inference(sat_conversion,[],[f324]) ).
cnf(s69,plain,
( spl4_1
| spl4_67
| spl4_68 ),
inference(sat_conversion,[],[f927]) ).
cnf(s72,plain,
( spl4_1
| ~ spl4_68 ),
inference(sat_conversion,[],[f952]) ).
cnf(s75,plain,
( spl4_1
| ~ spl4_67 ),
inference(sat_conversion,[],[f962]) ).
cnf(s268,plain,
( spl4_2
| ~ spl4_25 ),
inference(sat_conversion,[],[f3033]) ).
cnf(s293,plain,
spl4_1,
inference(rat,[],[s69,s72,s75]) ).
cnf(s294,plain,
~ spl4_2,
inference(rat,[],[s1,s293]) ).
cnf(s295,plain,
~ spl4_25,
inference(rat,[],[s268,s294]) ).
cnf(s296,plain,
$false,
inference(rat,[],[s13,s295,s294]) ).
fof(f3034,plain,
$false,
inference(avatar_sat_refutation,[],[s296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM537+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.41 % Computer : n004.cluster.edu
% 0.13/10.41 % Model : x86_64 x86_64
% 0.13/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.41 % Memory : 8046.5625MB
% 0.13/10.41 % OS : Linux 6.8.0-71-generic
% 0.13/10.41 % CPULimit : 300
% 0.13/10.41 % WCLimit : 300
% 0.13/10.41 % DateTime : Sun Sep 27 20:23:19 UTC 2026
% 0.13/10.41 % CPUTime :
% 0.13/10.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.45 Running first-order theorem proving
% 0.13/10.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.10/11.74 % (3852617)Detected formulas, will run a generic FOF schedule.
% 5.10/11.74 % (3852623)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=786298977:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.10/11.74 % (3852624)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=1980095204:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.10/11.74 % (3852626)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2672693158:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.10/11.74 % (3852625)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1692556202:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.10/11.74 % (3852628)dis-21_1_sil=8000:lcm=predicate:random_seed=2931613313:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.10/11.74 % (3852622)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=3627953327:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.10/11.74 % (3852625)Refutation not found, incomplete strategy
% 5.10/11.74 % (3852625)------------------------------
% 5.10/11.74 % (3852625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852625)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852625)Termination reason: Refutation not found, incomplete strategy
% 5.10/11.74 % (3852625)Time elapsed: 0.004 s
% 5.10/11.74 % (3852625)Peak memory usage: 88 MB
% 5.10/11.74 % (3852625)Instructions burned: 4 (million)
% 5.10/11.74 % (3852627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3304426264:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.10/11.74 % (3852626)Instruction limit reached!
% 5.10/11.74 % (3852626)------------------------------
% 5.10/11.74 % (3852626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852626)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852626)Termination reason: Instruction limit
% 5.10/11.74 % (3852626)Termination phase: Saturation
% 5.10/11.74 % (3852626)Time elapsed: 0.071 s
% 5.10/11.74 % (3852626)Peak memory usage: 88 MB
% 5.10/11.74 % (3852626)Instructions burned: 121 (million)
% 5.10/11.74 % (3852628)Instruction limit reached!
% 5.10/11.74 % (3852628)------------------------------
% 5.10/11.74 % (3852628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852628)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852628)Termination reason: Instruction limit
% 5.10/11.74 % (3852628)Termination phase: Saturation
% 5.10/11.74 % (3852628)Time elapsed: 0.077 s
% 5.10/11.74 % (3852628)Peak memory usage: 89 MB
% 5.10/11.74 % (3852628)Instructions burned: 129 (million)
% 5.10/11.74 % (3852627)Instruction limit reached!
% 5.10/11.74 % (3852627)------------------------------
% 5.10/11.74 % (3852627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852627)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852627)Termination reason: Instruction limit
% 5.10/11.74 % (3852627)Termination phase: Saturation
% 5.10/11.74 % (3852627)Time elapsed: 0.099 s
% 5.10/11.74 % (3852627)Peak memory usage: 89 MB
% 5.10/11.74 % (3852627)Instructions burned: 139 (million)
% 5.10/11.74 % (3852636)lrs+10_1_sil=8000:sp=occurrence:random_seed=928628081:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.10/11.74 % (3852637)lrs+10_1_sil=32000:urr=on:br=off:random_seed=289812882:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.10/11.74 % (3852625)------------------------------
% 5.10/11.74 % (3852625)------------------------------
% 5.10/11.74 % (3852638)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1693848762:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.10/11.74 % (3852637)Instruction limit reached!
% 5.10/11.74 % (3852637)------------------------------
% 5.10/11.74 % (3852637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852637)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852637)Termination reason: Instruction limit
% 5.10/11.74 % (3852637)Termination phase: Saturation
% 5.10/11.74 % (3852637)Time elapsed: 0.087 s
% 5.10/11.74 % (3852637)Peak memory usage: 90 MB
% 5.10/11.74 % (3852637)Instructions burned: 158 (million)
% 5.10/11.74 % (3852641)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=2966494004:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.10/11.74 % (3852636)Instruction limit reached!
% 5.10/11.74 % (3852636)------------------------------
% 5.10/11.74 % (3852636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852636)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852636)Termination reason: Instruction limit
% 5.10/11.74 % (3852636)Termination phase: Saturation
% 5.10/11.74 % (3852636)Time elapsed: 0.178 s
% 5.10/11.74 % (3852636)Peak memory usage: 92 MB
% 5.10/11.74 % (3852636)Instructions burned: 285 (million)
% 5.10/11.74 % (3852623)First to succeed.
% 5.10/11.74 % (3852623)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3852617"
% 5.10/11.74 % (3852638)Instruction limit reached!
% 5.10/11.74 % (3852638)------------------------------
% 5.10/11.74 % (3852638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852638)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852638)Termination reason: Instruction limit
% 5.10/11.74 % (3852638)Termination phase: Saturation
% 5.10/11.74 % (3852638)Time elapsed: 0.209 s
% 5.10/11.74 % (3852638)Peak memory usage: 91 MB
% 5.10/11.74 % (3852638)Instructions burned: 326 (million)
% 5.10/11.74 % (3852643)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=666405214:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.10/11.74 % (3852641)Instruction limit reached!
% 5.10/11.74 % (3852641)------------------------------
% 5.10/11.74 % (3852641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/11.74 % (3852641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/11.74 % (3852641)CaDiCaL version: 2.1.3
% 5.10/11.74 % (3852641)Termination reason: Instruction limit
% 5.10/11.74 % (3852641)Termination phase: Saturation
% 5.10/11.74 % (3852641)Time elapsed: 0.152 s
% 5.10/11.74 % (3852641)Peak memory usage: 91 MB
% 5.10/11.74 % (3852641)Instructions burned: 249 (million)
% 5.10/11.74 % (3852645)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3538944980:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.10/11.74 % (3852623)Refutation found. Thanks to Tanya!
% 5.10/11.74 % SZS status Theorem for theBenchmark
% 5.10/11.74 % SZS output start Proof for theBenchmark
% See solution above
% 5.92/11.83 % (3852623)------------------------------
% 5.92/11.83 % (3852623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/11.83 % (3852623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/11.83 % (3852623)CaDiCaL version: 2.1.3
% 5.92/11.83 % (3852623)Termination reason: Refutation
% 5.92/11.83 % (3852623)Time elapsed: 0.472 s
% 5.92/11.83 % (3852623)Peak memory usage: 132 MB
% 5.92/11.83 % (3852623)Instructions burned: 1253 (million)
% 5.92/11.83 % (3852623)------------------------------
% 5.92/11.83 % (3852623)------------------------------
% 5.92/11.83 % (3852617)Success in time 0.768 s
% 5.92/11.83 % Vampire exiting
%------------------------------------------------------------------------------