%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM536+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:38 PM UTC 2026
% Result : Theorem 5.84s 1.92s
% Output : Refutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 25
% Syntax : Number of formulae : 180 ( 26 unt; 17 def)
% Number of atoms : 743 ( 96 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 943 ( 380 ~; 417 |; 107 &)
% ( 31 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 12 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 205 ( 0 sgn 196 !; 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(f13,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
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,
sdtmndt0(sdtpldt0(xS,xx),xx) = xS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f21,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f26,plain,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(flattening,[],[f21]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f35]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f15]) ).
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(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
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(flattening,[],[f41]) ).
fof(f44,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f46,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f40,f45,f44]) ).
fof(f47,definition,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> sP2(X2,X0,X1) )
| ~ sP3(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f49,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f42,f48,f47]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f56]) ).
fof(f58,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtpldt0(X0,X1)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtpldt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 )
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 ) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 )
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 ) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X1)
& X2 != X3 )
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X1)
| X2 = X3 ) )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& X2 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X2 = X4 ) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK6(X0,X1,X2))
| ( ~ aElementOf0(sK6(X0,X1,X2),X1)
& sK6(X0,X1,X2) != X2 )
| ~ aElementOf0(sK6(X0,X1,X2),X0) )
& ( ( aElement0(sK6(X0,X1,X2))
& ( aElementOf0(sK6(X0,X1,X2),X1)
| sK6(X0,X1,X2) = X2 ) )
| aElementOf0(sK6(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& X2 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X2 = X4 ) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f62]) ).
fof(f64,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ sP2(X2,X0,X1) )
& ( sP2(X2,X0,X1)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| X2 = X3
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& aElementOf0(X3,X1)
& X2 != X3 )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| sK7(X0,X1,X2) = X2
| ~ aElementOf0(sK7(X0,X1,X2),X0) )
& ( ( aElement0(sK7(X0,X1,X2))
& aElementOf0(sK7(X0,X1,X2),X1)
& sK7(X0,X1,X2) != X2 )
| aElementOf0(sK7(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f76,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f77,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f83,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f85,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X2 = X4
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f94,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f95,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f97,plain,
! [X2,X0,X1,X4] :
( X2 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f98,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f100,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f106,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f108,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f109,plain,
aElement0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f110,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f111,plain,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(cnf_transformation,[],[f26]) ).
fof(f114,plain,
! [X0,X1] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f83]) ).
fof(f116,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f95]) ).
fof(f117,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f97]) ).
fof(f118,definition,
sF8 = sdtpldt0(xS,xx),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f119,plain,
sdtpldt0(xS,xx) = sF8,
inference(reorient_equations,[],[f118]) ).
fof(f120,definition,
sF9 = sdtmndt0(sF8,xx),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f121,plain,
sdtmndt0(sF8,xx) = sF9,
inference(reorient_equations,[],[f120]) ).
fof(f122,plain,
xS != sF9,
inference(definition_folding,[],[f111,f121,f119]) ).
fof(f123,plain,
( sP2(sF9,sF8,xx)
| ~ sP3(xx,sF8) ),
inference(superposition,[],[f116,f121]) ).
fof(f125,definition,
( spl10_1
<=> sP3(xx,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f126,plain,
( sP3(xx,sF8)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ sP3(xx,sF8)
| spl10_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl10_2
<=> sP2(sF9,sF8,xx) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f131,plain,
( sP2(sF9,sF8,xx)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f123,f129,f125]) ).
fof(f133,plain,
( sP0(sF8,xS,xx)
| ~ sP1(xx,xS) ),
inference(superposition,[],[f114,f119]) ).
fof(f135,definition,
( spl10_3
<=> sP1(xx,xS) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f137,plain,
( ~ sP1(xx,xS)
| spl10_3 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl10_4
<=> sP0(sF8,xS,xx) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f141,plain,
( sP0(sF8,xS,xx)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f133,f139,f135]) ).
fof(f143,plain,
( ~ aSet0(xS)
| ~ aElement0(xx)
| spl10_3 ),
inference(resolution,[],[f137,f94]) ).
fof(f144,plain,
( ~ aElement0(xx)
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f143,f108]) ).
fof(f145,plain,
( $false
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f144,f109]) ).
fof(f146,plain,
spl10_3,
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f148,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF8)
| xx = X0
| aElementOf0(X0,xS) )
| ~ spl10_4 ),
inference(resolution,[],[f85,f141]) ).
fof(f150,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f101,f116]) ).
fof(f151,plain,
( aSet0(sF9)
| ~ sP3(xx,sF8) ),
inference(superposition,[],[f150,f121]) ).
fof(f152,plain,
( ~ aSet0(sF8)
| ~ aElement0(xx)
| spl10_1 ),
inference(resolution,[],[f127,f106]) ).
fof(f153,plain,
( ~ aSet0(sF8)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f152,f109]) ).
fof(f154,plain,
! [X2,X0,X1] :
( aElementOf0(X0,sdtmndt0(X1,X2))
| ~ aElementOf0(X0,X1)
| X0 = X2
| ~ aElement0(X0)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f100,f116]) ).
fof(f157,plain,
! [X0] :
( aElementOf0(X0,sF9)
| ~ aElementOf0(X0,sF8)
| xx = X0
| ~ aElement0(X0)
| ~ sP3(xx,sF8) ),
inference(superposition,[],[f154,f121]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK5(X1,X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f77,f70]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(sK5(X1,X0)) ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f168,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sF8) )
| ~ spl10_4 ),
inference(resolution,[],[f88,f141]) ).
fof(f174,plain,
( ! [X0] :
( ~ aElement0(sK5(X0,xS))
| aElementOf0(sK5(X0,xS),sF8)
| ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_4 ),
inference(resolution,[],[f168,f77]) ).
fof(f175,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS),sF8)
| ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f174,f166]) ).
fof(f176,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS),sF8)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f175,f108]) ).
fof(f178,plain,
( ! [X0] :
( aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElement0(sK5(X0,xS))
| ~ aSet0(sF8) )
| ~ spl10_4 ),
inference(resolution,[],[f176,f70]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f98,f116]) ).
fof(f186,plain,
! [X0] :
( ~ aElementOf0(X0,sF9)
| aElementOf0(X0,sF8)
| ~ sP3(xx,sF8) ),
inference(superposition,[],[f183,f121]) ).
fof(f192,plain,
( aSet0(sF8)
| ~ spl10_4 ),
inference(resolution,[],[f89,f141]) ).
fof(f193,plain,
( $false
| spl10_1
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f192,f153]) ).
fof(f194,plain,
( spl10_1
| ~ spl10_4 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f195,plain,
( aSet0(sF9)
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f151,f126]) ).
fof(f196,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF8)
| aElementOf0(X0,sF9)
| xx = X0
| ~ aElement0(X0) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f157,f126]) ).
fof(f201,definition,
( spl10_6
<=> aSet0(sF8) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f210,definition,
( spl10_8
<=> ! [X0] :
( aSubsetOf0(xS,X0)
| aElement0(sK5(X0,xS))
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f211,plain,
( ! [X0] :
( aSubsetOf0(xS,X0)
| aElement0(sK5(X0,xS))
| ~ aSet0(X0) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( ~ spl10_6
| spl10_8
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f178,f139,f210,f201]) ).
fof(f213,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF9)
| aElementOf0(X0,sF8) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f186,f126]) ).
fof(f214,plain,
( spl10_6
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f192,f139,f201]) ).
fof(f219,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF9),sF8)
| ~ aSet0(sF9)
| aSubsetOf0(sF9,X0)
| ~ aSet0(X0) )
| ~ spl10_1 ),
inference(resolution,[],[f213,f77]) ).
fof(f220,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF9),sF8)
| aSubsetOf0(sF9,X0)
| ~ aSet0(X0) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f219,f195]) ).
fof(f221,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS),sF9)
| xx = sK5(X0,xS)
| ~ aElement0(sK5(X0,xS))
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_1
| ~ spl10_4 ),
inference(resolution,[],[f196,f176]) ).
fof(f224,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xS),sF9)
| xx = sK5(X0,xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_subsumption_resolution,[],[f221,f211]) ).
fof(f230,plain,
( ! [X0] :
( aElementOf0(sK5(X0,sF9),xS)
| ~ aSet0(X0)
| xx = sK5(X0,sF9)
| aSubsetOf0(sF9,X0) )
| ~ spl10_1
| ~ spl10_4 ),
inference(resolution,[],[f220,f148]) ).
fof(f319,plain,
( ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ aSet0(xS)
| xx = sK5(xS,sF9)
| aSubsetOf0(sF9,xS)
| ~ spl10_1
| ~ spl10_4 ),
inference(resolution,[],[f78,f230]) ).
fof(f322,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| xx = sK5(sF9,xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_8 ),
inference(resolution,[],[f78,f224]) ).
fof(f327,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| xx = sK5(sF9,xS)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_8 ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f330,plain,
( ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| xx = sK5(xS,sF9)
| ~ spl10_1
| ~ spl10_4 ),
inference(duplicate_literal_removal,[],[f319]) ).
fof(f335,plain,
( aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| xx = sK5(sF9,xS)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_subsumption_resolution,[],[f327,f108]) ).
fof(f338,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| xx = sK5(xS,sF9)
| ~ spl10_1
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f330,f195]) ).
fof(f341,plain,
( aSubsetOf0(xS,sF9)
| xx = sK5(sF9,xS)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_subsumption_resolution,[],[f335,f195]) ).
fof(f344,plain,
( aSubsetOf0(sF9,xS)
| xx = sK5(xS,sF9)
| ~ spl10_1
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f338,f108]) ).
fof(f346,definition,
( spl10_12
<=> xx = sK5(sF9,xS) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f348,plain,
( xx = sK5(sF9,xS)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl10_13
<=> aSubsetOf0(xS,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
fof(f351,plain,
( ~ aSubsetOf0(xS,sF9)
| spl10_13 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( aSubsetOf0(xS,sF9)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f353,plain,
( spl10_12
| spl10_13
| ~ spl10_1
| ~ spl10_4
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f341,f210,f139,f125,f350,f346]) ).
fof(f355,definition,
( spl10_14
<=> xx = sK5(xS,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f357,plain,
( xx = sK5(xS,sF9)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f359,definition,
( spl10_15
<=> aSubsetOf0(sF9,xS) ),
introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).
fof(f361,plain,
( aSubsetOf0(sF9,xS)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,plain,
( spl10_14
| spl10_15
| ~ spl10_1
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f344,f139,f125,f359,f355]) ).
fof(f365,plain,
( aElementOf0(xx,sF9)
| ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_14 ),
inference(superposition,[],[f77,f357]) ).
fof(f366,plain,
( aElementOf0(xx,sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_1
| ~ spl10_14 ),
inference(forward_subsumption_resolution,[],[f365,f195]) ).
fof(f367,plain,
( aElementOf0(xx,sF9)
| aSubsetOf0(sF9,xS)
| ~ spl10_1
| ~ spl10_14 ),
inference(forward_subsumption_resolution,[],[f366,f108]) ).
fof(f369,definition,
( spl10_16
<=> aElementOf0(xx,sF9) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f371,plain,
( aElementOf0(xx,sF9)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,plain,
( spl10_15
| spl10_16
| ~ spl10_1
| ~ spl10_14 ),
inference(avatar_split_clause,[],[f367,f355,f125,f369,f359]) ).
fof(f374,plain,
( ~ aSubsetOf0(sF9,xS)
| xS = sF9
| ~ aSet0(sF9)
| ~ aSet0(xS)
| ~ spl10_13 ),
inference(resolution,[],[f352,f81]) ).
fof(f375,plain,
( ~ aSubsetOf0(sF9,xS)
| xS = sF9
| ~ aSet0(xS)
| ~ spl10_13 ),
inference(forward_subsumption_resolution,[],[f374,f76]) ).
fof(f377,plain,
( xS = sF9
| ~ aSet0(xS)
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_subsumption_resolution,[],[f375,f361]) ).
fof(f378,plain,
( ~ aSet0(xS)
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_subsumption_resolution,[],[f377,f122]) ).
fof(f379,plain,
( $false
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_subsumption_resolution,[],[f378,f108]) ).
fof(f380,plain,
( ~ spl10_13
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f418,plain,
( ~ aElementOf0(xx,sF9)
| ~ spl10_2 ),
inference(resolution,[],[f117,f131]) ).
fof(f419,plain,
( $false
| ~ spl10_2
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f418,f371]) ).
fof(f420,plain,
( ~ spl10_2
| ~ spl10_16 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f426,plain,
( aElementOf0(xx,xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_12 ),
inference(superposition,[],[f77,f348]) ).
fof(f427,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f426,f110]) ).
fof(f428,plain,
( aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f427,f108]) ).
fof(f429,plain,
( ~ aSet0(sF9)
| ~ spl10_12
| spl10_13 ),
inference(forward_subsumption_resolution,[],[f428,f351]) ).
fof(f430,plain,
( $false
| ~ spl10_1
| ~ spl10_12
| spl10_13 ),
inference(forward_subsumption_resolution,[],[f429,f195]) ).
fof(f431,plain,
( ~ spl10_1
| ~ spl10_12
| spl10_13 ),
inference(avatar_contradiction_clause,[],[f430]) ).
cnf(s1,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f132]) ).
cnf(s2,plain,
( ~ spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f142]) ).
cnf(s3,plain,
spl10_3,
inference(sat_conversion,[],[f146]) ).
cnf(s4,plain,
( spl10_1
| ~ spl10_4 ),
inference(sat_conversion,[],[f194]) ).
cnf(s7,plain,
( ~ spl10_4
| ~ spl10_6
| spl10_8 ),
inference(sat_conversion,[],[f212]) ).
cnf(s8,plain,
( ~ spl10_4
| spl10_6 ),
inference(sat_conversion,[],[f214]) ).
cnf(s12,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_8
| spl10_12
| spl10_13 ),
inference(sat_conversion,[],[f353]) ).
cnf(s13,plain,
( ~ spl10_1
| ~ spl10_4
| spl10_14
| spl10_15 ),
inference(sat_conversion,[],[f362]) ).
cnf(s14,plain,
( ~ spl10_1
| ~ spl10_14
| spl10_15
| spl10_16 ),
inference(sat_conversion,[],[f372]) ).
cnf(s15,plain,
( ~ spl10_13
| ~ spl10_15 ),
inference(sat_conversion,[],[f380]) ).
cnf(s19,plain,
( ~ spl10_2
| ~ spl10_16 ),
inference(sat_conversion,[],[f420]) ).
cnf(s20,plain,
( ~ spl10_1
| ~ spl10_12
| spl10_13 ),
inference(sat_conversion,[],[f431]) ).
cnf(s21,plain,
spl10_4,
inference(rat,[],[s2,s3]) ).
cnf(s22,plain,
spl10_6,
inference(rat,[],[s8,s21]) ).
cnf(s24,plain,
spl10_1,
inference(rat,[],[s4,s21]) ).
cnf(s25,plain,
spl10_8,
inference(rat,[],[s7,s21,s22]) ).
cnf(s30,plain,
spl10_2,
inference(rat,[],[s1,s24]) ).
cnf(s31,plain,
~ spl10_16,
inference(rat,[],[s19,s30]) ).
cnf(s32,plain,
spl10_15,
inference(rat,[],[s13,s14,s21,s24,s31]) ).
cnf(s33,plain,
~ spl10_13,
inference(rat,[],[s15,s32]) ).
cnf(s34,plain,
~ spl10_12,
inference(rat,[],[s20,s24,s33]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s12,s25,s24,s21,s33,s34]) ).
fof(f432,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM536+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:28:47 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 5.84/1.92 % (3928550)Detected formulas, will run a generic FOF schedule.
% 5.84/1.92 % (3928556)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=361779628:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.84/1.92 % (3928560)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2540233273:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.84/1.92 % (3928561)dis-21_1_sil=8000:lcm=predicate:random_seed=1045014090: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)
% 5.84/1.92 % (3928555)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=2537228601:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.84/1.92 % (3928559)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=530760486:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.84/1.92 % (3928558)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2268953714:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.84/1.92 % (3928557)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=1863434703:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.84/1.92 % (3928558)Refutation not found, incomplete strategy
% 5.84/1.92 % (3928558)------------------------------
% 5.84/1.92 % (3928558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928558)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928558)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.92 % (3928558)Time elapsed: 0.003 s
% 5.84/1.92 % (3928558)Peak memory usage: 88 MB
% 5.84/1.92 % (3928558)Instructions burned: 3 (million)
% 5.84/1.92 % (3928559)Instruction limit reached!
% 5.84/1.92 % (3928559)------------------------------
% 5.84/1.92 % (3928559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928559)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928559)Termination reason: Instruction limit
% 5.84/1.92 % (3928559)Termination phase: Saturation
% 5.84/1.92 % (3928559)Time elapsed: 0.072 s
% 5.84/1.92 % (3928559)Peak memory usage: 88 MB
% 5.84/1.92 % (3928559)Instructions burned: 120 (million)
% 5.84/1.92 % (3928561)Instruction limit reached!
% 5.84/1.92 % (3928561)------------------------------
% 5.84/1.92 % (3928561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928561)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928561)Termination reason: Instruction limit
% 5.84/1.92 % (3928561)Termination phase: Saturation
% 5.84/1.92 % (3928561)Time elapsed: 0.077 s
% 5.84/1.92 % (3928561)Peak memory usage: 90 MB
% 5.84/1.92 % (3928561)Instructions burned: 130 (million)
% 5.84/1.92 % (3928560)Instruction limit reached!
% 5.84/1.92 % (3928560)------------------------------
% 5.84/1.92 % (3928560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928560)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928560)Termination reason: Instruction limit
% 5.84/1.92 % (3928560)Termination phase: Saturation
% 5.84/1.92 % (3928560)Time elapsed: 0.104 s
% 5.84/1.92 % (3928560)Peak memory usage: 89 MB
% 5.84/1.92 % (3928560)Instructions burned: 140 (million)
% 5.84/1.92 % (3928570)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3562238199:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.84/1.92 % (3928569)lrs+10_1_sil=8000:sp=occurrence:random_seed=2628606702:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.84/1.92 % (3928571)lrs+1011_1_sil=32000:sp=occurrence:random_seed=604922865:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.84/1.92 % (3928558)------------------------------
% 5.84/1.92 % (3928558)------------------------------
% 5.84/1.92 % (3928570)Instruction limit reached!
% 5.84/1.92 % (3928570)------------------------------
% 5.84/1.92 % (3928570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928570)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928570)Termination reason: Instruction limit
% 5.84/1.92 % (3928570)Termination phase: Saturation
% 5.84/1.92 % (3928570)Time elapsed: 0.094 s
% 5.84/1.92 % (3928570)Peak memory usage: 90 MB
% 5.84/1.92 % (3928570)Instructions burned: 158 (million)
% 5.84/1.92 % (3928569)Instruction limit reached!
% 5.84/1.92 % (3928569)------------------------------
% 5.84/1.92 % (3928569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928569)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928569)Termination reason: Instruction limit
% 5.84/1.92 % (3928569)Termination phase: Saturation
% 5.84/1.92 % (3928569)Time elapsed: 0.171 s
% 5.84/1.92 % (3928569)Peak memory usage: 92 MB
% 5.84/1.92 % (3928569)Instructions burned: 286 (million)
% 5.84/1.92 % (3928575)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=2256976041:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.84/1.92 % (3928576)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2922232934:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.84/1.92 % (3928576)Refutation not found, incomplete strategy
% 5.84/1.92 % (3928576)------------------------------
% 5.84/1.92 % (3928576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928576)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928576)Termination reason: Refutation not found, incomplete strategy
% 5.84/1.92 % (3928576)Time elapsed: 0.003 s
% 5.84/1.92 % (3928576)Peak memory usage: 88 MB
% 5.84/1.92 % (3928576)Instructions burned: 3 (million)
% 5.84/1.92 % (3928571)Instruction limit reached!
% 5.84/1.92 % (3928571)------------------------------
% 5.84/1.92 % (3928571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928571)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928571)Termination reason: Instruction limit
% 5.84/1.92 % (3928571)Termination phase: Saturation
% 5.84/1.92 % (3928571)Time elapsed: 0.227 s
% 5.84/1.92 % (3928571)Peak memory usage: 91 MB
% 5.84/1.92 % (3928571)Instructions burned: 325 (million)
% 5.84/1.92 % (3928577)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=643613528:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.84/1.92 % (3928575)Instruction limit reached!
% 5.84/1.92 % (3928575)------------------------------
% 5.84/1.92 % (3928575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928575)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928575)Termination reason: Instruction limit
% 5.84/1.92 % (3928575)Termination phase: Saturation
% 5.84/1.92 % (3928575)Time elapsed: 0.151 s
% 5.84/1.92 % (3928575)Peak memory usage: 90 MB
% 5.84/1.92 % (3928575)Instructions burned: 249 (million)
% 5.84/1.92 % (3928580)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2796460128:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.84/1.92 % (3928555)First to succeed.
% 5.84/1.92 % (3928576)------------------------------
% 5.84/1.92 % (3928576)------------------------------
% 5.84/1.92 % (3928555)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3928550"
% 5.84/1.92 % (3928582)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2124828639:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.84/1.92 % (3928580)Instruction limit reached!
% 5.84/1.92 % (3928580)------------------------------
% 5.84/1.92 % (3928580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928580)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928580)Termination reason: Instruction limit
% 5.84/1.92 % (3928580)Termination phase: Saturation
% 5.84/1.92 % (3928580)Time elapsed: 0.082 s
% 5.84/1.92 % (3928580)Peak memory usage: 90 MB
% 5.84/1.92 % (3928580)Instructions burned: 113 (million)
% 5.84/1.92 % (3928582)Instruction limit reached!
% 5.84/1.92 % (3928582)------------------------------
% 5.84/1.92 % (3928582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928582)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928582)Termination reason: Instruction limit
% 5.84/1.92 % (3928582)Termination phase: Saturation
% 5.84/1.92 % (3928582)Time elapsed: 0.068 s
% 5.84/1.92 % (3928582)Peak memory usage: 89 MB
% 5.84/1.92 % (3928582)Instructions burned: 128 (million)
% 5.84/1.92 % (3928556)Also succeeded, but the first one will report.
% 5.84/1.92 % (3928586)lrs+10_1_sil=8000:sp=occurrence:random_seed=2312116538:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.84/1.92 % (3928585)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1446107394:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 5.84/1.92 % (3928557)Also succeeded, but the first one will report.
% 5.84/1.92 % (3928585)Instruction limit reached!
% 5.84/1.92 % (3928585)------------------------------
% 5.84/1.92 % (3928585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.92 % (3928585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.92 % (3928585)CaDiCaL version: 2.1.3
% 5.84/1.92 % (3928585)Termination reason: Instruction limit
% 5.84/1.92 % (3928585)Termination phase: Saturation
% 5.84/1.92 % (3928585)Time elapsed: 0.067 s
% 5.84/1.92 % (3928585)Peak memory usage: 89 MB
% 5.84/1.92 % (3928585)Instructions burned: 114 (million)
% 5.84/1.92 % (3928587)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1993036826:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.84/1.92 % (3928555)Refutation found. Thanks to Tanya!
% 5.84/1.92 % SZS status Theorem for theBenchmark
% 5.84/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 5.84/2.01 % (3928555)------------------------------
% 5.84/2.01 % (3928555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/2.01 % (3928555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/2.01 % (3928555)CaDiCaL version: 2.1.3
% 5.84/2.01 % (3928555)Termination reason: Refutation
% 5.84/2.01 % (3928555)Time elapsed: 0.656 s
% 5.84/2.01 % (3928555)Peak memory usage: 129 MB
% 5.84/2.01 % (3928555)Instructions burned: 967 (million)
% 5.84/2.01 % (3928555)------------------------------
% 5.84/2.01 % (3928555)------------------------------
% 5.84/2.01 % (3928550)Success in time 1.069 s
% 5.84/2.01 % Vampire exiting
%------------------------------------------------------------------------------