%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG093+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:36:01 PM UTC 2026
% Result : Theorem 2.78s 1.21s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 146 ( 24 unt; 8 def)
% Number of atoms : 550 ( 17 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 700 ( 296 ~; 319 |; 62 &)
% ( 16 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 135 ( 0 sgn 123 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( X2 = sdtasasdt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSInt) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f26,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1150) ).
fof(f27,conjecture,
aIdeal0(sdtasasdt0(xI,xJ)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f32,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f33,plain,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(flattening,[],[f28]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtasasdt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtasasdt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtasasdt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| sdtasasdt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(nnf_transformation,[],[f62]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtasasdt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| ~ aElementOf0(X3,X2) ) ) )
| sdtasasdt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtasasdt0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| sdtasasdt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtasasdt0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK9(X0,X1,X2),X0)
| ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aElementOf0(sK9(X0,X1,X2),X2) )
& ( ( aElementOf0(sK9(X0,X1,X2),X0)
& aElementOf0(sK9(X0,X1,X2),X1) )
| aElementOf0(sK9(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1) )
& ( ( aElementOf0(X4,X0)
& aElementOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) ) )
| sdtasasdt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f78]) ).
fof(f80,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f81,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
& aElementOf0(sK11(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
& aElement0(sK12(X0)) ) )
& aElementOf0(sK10(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0))],[f82]) ).
fof(f124,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| sdtasasdt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| sdtasasdt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| sdtasasdt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtasasdt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f131,plain,
! [X0,X6,X4] :
( ~ aElementOf0(X4,X0)
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
! [X0,X4,X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X4,X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| aElementOf0(sK10(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f135,plain,
! [X0] :
( ~ aSet0(X0)
| aIdeal0(X0)
| aElementOf0(sK11(X0),X0)
| aElement0(sK12(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f136,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0),X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0)
| aElement0(sK12(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f140,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f26]) ).
fof(f141,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f26]) ).
fof(f142,plain,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f33]) ).
fof(f145,plain,
! [X0,X1] :
( aSet0(sdtasasdt0(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f127]) ).
fof(f146,plain,
! [X0,X1,X4] :
( aElementOf0(X4,sdtasasdt0(X0,X1))
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f126]) ).
fof(f147,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| aElementOf0(X4,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f125]) ).
fof(f148,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| aElementOf0(X4,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f124]) ).
fof(f149,definition,
sF13 = sdtasasdt0(xI,xJ),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f150,plain,
sdtasasdt0(xI,xJ) = sF13,
inference(reorient_equations,[],[f149]) ).
fof(f151,plain,
~ aIdeal0(sF13),
inference(definition_folding,[],[f142,f150]) ).
fof(f152,plain,
aSet0(xJ),
inference(resolution,[],[f133,f140]) ).
fof(f153,plain,
aSet0(xI),
inference(resolution,[],[f133,f141]) ).
fof(f212,plain,
( aSet0(sF13)
| ~ aSet0(xI)
| ~ aSet0(xJ) ),
inference(superposition,[],[f145,f150]) ).
fof(f213,plain,
( aSet0(sF13)
| ~ aSet0(xJ) ),
inference(forward_subsumption_resolution,[],[f212,f153]) ).
fof(f214,plain,
aSet0(sF13),
inference(forward_subsumption_resolution,[],[f213,f152]) ).
fof(f215,plain,
( aIdeal0(sF13)
| aElementOf0(sK10(sF13),sF13) ),
inference(resolution,[],[f214,f134]) ).
fof(f216,plain,
aElementOf0(sK10(sF13),sF13),
inference(forward_subsumption_resolution,[],[f215,f151]) ).
fof(f258,plain,
( aIdeal0(sF13)
| aElementOf0(sK11(sF13),sF13)
| aElement0(sK12(sF13)) ),
inference(resolution,[],[f135,f214]) ).
fof(f259,plain,
( aElementOf0(sK11(sF13),sF13)
| aElement0(sK12(sF13)) ),
inference(forward_subsumption_resolution,[],[f258,f151]) ).
fof(f261,definition,
( spl14_1
<=> aElement0(sK12(sF13)) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f263,plain,
( aElement0(sK12(sF13))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl14_2
<=> aElementOf0(sK11(sF13),sF13) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f266,plain,
( ~ aElementOf0(sK11(sF13),sF13)
| spl14_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( aElementOf0(sK11(sF13),sF13)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f259,f265,f261]) ).
fof(f288,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,xI)
| ~ aSet0(xI)
| ~ aSet0(xJ) ),
inference(superposition,[],[f147,f150]) ).
fof(f289,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,xI)
| ~ aSet0(xJ) ),
inference(forward_subsumption_resolution,[],[f288,f153]) ).
fof(f290,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[],[f289,f152]) ).
fof(f292,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,xJ)
| ~ aSet0(xI)
| ~ aSet0(xJ) ),
inference(superposition,[],[f148,f150]) ).
fof(f293,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,xJ)
| ~ aSet0(xJ) ),
inference(forward_subsumption_resolution,[],[f292,f153]) ).
fof(f294,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,xJ) ),
inference(forward_subsumption_resolution,[],[f293,f152]) ).
fof(f319,plain,
! [X0,X1] :
( ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X0)
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(sdtasasdt0(X0,X1))
| aIdeal0(sdtasasdt0(X0,X1))
| aElement0(sK12(sdtasasdt0(X0,X1))) ),
inference(resolution,[],[f146,f137]) ).
fof(f320,plain,
! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X0)
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(sdtasasdt0(X0,X1))
| aElementOf0(sK11(sdtasasdt0(X0,X1)),sdtasasdt0(X0,X1))
| aIdeal0(sdtasasdt0(X0,X1)) ),
inference(resolution,[],[f146,f136]) ).
fof(f321,plain,
! [X0] :
( aElementOf0(X0,sF13)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ)
| ~ aSet0(xI)
| ~ aSet0(xJ) ),
inference(superposition,[],[f146,f150]) ).
fof(f324,plain,
! [X0] :
( aElementOf0(X0,sF13)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ)
| ~ aSet0(xJ) ),
inference(forward_subsumption_resolution,[],[f321,f153]) ).
fof(f325,plain,
! [X0,X1] :
( ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X1)
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK11(sdtasasdt0(X0,X1)),sdtasasdt0(X0,X1))
| aIdeal0(sdtasasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f320,f145]) ).
fof(f326,plain,
! [X0,X1] :
( ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X1)
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aIdeal0(sdtasasdt0(X0,X1))
| aElement0(sK12(sdtasasdt0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f319,f145]) ).
fof(f327,plain,
! [X0] :
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X0,xI)
| aElementOf0(X0,sF13) ),
inference(forward_subsumption_resolution,[],[f324,f152]) ).
fof(f418,plain,
! [X0,X1] :
( ~ aSet0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),sdtasasdt0(X0,X1))
| aIdeal0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X0)
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X1)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(resolution,[],[f138,f146]) ).
fof(f419,plain,
! [X0,X1] :
( ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),sdtasasdt0(X0,X1))
| aIdeal0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X0)
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X1)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(forward_subsumption_resolution,[],[f418,f145]) ).
fof(f543,plain,
aElementOf0(sK10(sF13),xI),
inference(resolution,[],[f290,f216]) ).
fof(f544,plain,
( aElementOf0(sK11(sF13),xI)
| ~ spl14_2 ),
inference(resolution,[],[f290,f267]) ).
fof(f556,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sdtasdt0(X0,sK10(sF13)),xI)
| ~ aIdeal0(xI) ),
inference(resolution,[],[f543,f131]) ).
fof(f558,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sdtasdt0(X0,sK10(sF13)),xI) ),
inference(forward_subsumption_resolution,[],[f556,f141]) ).
fof(f560,plain,
aElementOf0(sK10(sF13),xJ),
inference(resolution,[],[f294,f216]) ).
fof(f561,plain,
( aElementOf0(sK11(sF13),xJ)
| ~ spl14_2 ),
inference(resolution,[],[f294,f267]) ).
fof(f572,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(X0,sK11(sF13)),xI)
| ~ aElementOf0(X0,xI)
| ~ aIdeal0(xI) )
| ~ spl14_2 ),
inference(resolution,[],[f544,f132]) ).
fof(f576,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(X0,sK11(sF13)),xI)
| ~ aElementOf0(X0,xI) )
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f572,f141]) ).
fof(f581,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sdtasdt0(X0,sK10(sF13)),xJ)
| ~ aIdeal0(xJ) ),
inference(resolution,[],[f560,f131]) ).
fof(f583,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(sdtasdt0(X0,sK10(sF13)),xJ) ),
inference(forward_subsumption_resolution,[],[f581,f140]) ).
fof(f587,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(X0,sK11(sF13)),xJ)
| ~ aElementOf0(X0,xJ)
| ~ aIdeal0(xJ) )
| ~ spl14_2 ),
inference(resolution,[],[f561,f132]) ).
fof(f591,plain,
( ! [X0] :
( aElementOf0(sdtpldt0(X0,sK11(sF13)),xJ)
| ~ aElementOf0(X0,xJ) )
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f587,f140]) ).
fof(f6340,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xJ)
| ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI)
| ~ aSet0(xI)
| ~ aSet0(xJ)
| aIdeal0(sF13)
| aElement0(sK12(sF13)) ),
inference(superposition,[],[f326,f150]) ).
fof(f6344,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xJ)
| ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI)
| ~ aSet0(xJ)
| aIdeal0(sF13)
| aElement0(sK12(sF13)) ),
inference(forward_subsumption_resolution,[],[f6340,f153]) ).
fof(f6346,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xJ)
| ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI)
| aIdeal0(sF13)
| aElement0(sK12(sF13)) ),
inference(forward_subsumption_resolution,[],[f6344,f152]) ).
fof(f6347,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xJ)
| ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI)
| aElement0(sK12(sF13)) ),
inference(forward_subsumption_resolution,[],[f6346,f151]) ).
fof(f6349,definition,
( spl14_13
<=> aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI) ),
introduced(definition,[new_symbols(definition,[spl14_13])],[avatar_definition]) ).
fof(f6350,plain,
( aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI)
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f6349]) ).
fof(f6351,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI)
| spl14_13 ),
inference(avatar_component_clause,[],[f6349]) ).
fof(f6353,definition,
( spl14_14
<=> aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xJ) ),
introduced(definition,[new_symbols(definition,[spl14_14])],[avatar_definition]) ).
fof(f6354,plain,
( aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xJ)
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f6353]) ).
fof(f6355,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xJ)
| spl14_14 ),
inference(avatar_component_clause,[],[f6353]) ).
fof(f6356,plain,
( spl14_1
| ~ spl14_13
| ~ spl14_14 ),
inference(avatar_split_clause,[],[f6347,f6353,f6349,f261]) ).
fof(f6357,plain,
( ~ aElementOf0(sK10(sF13),xI)
| ~ spl14_2
| spl14_13 ),
inference(resolution,[],[f6351,f576]) ).
fof(f6364,plain,
( $false
| ~ spl14_2
| spl14_13 ),
inference(forward_subsumption_resolution,[],[f6357,f543]) ).
fof(f6365,plain,
( ~ spl14_2
| spl14_13 ),
inference(avatar_contradiction_clause,[],[f6364]) ).
fof(f6579,plain,
( ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ aSet0(xI)
| ~ aSet0(xJ)
| aElementOf0(sK11(sF13),sF13)
| aIdeal0(sF13) ),
inference(superposition,[],[f325,f150]) ).
fof(f6672,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13)
| aIdeal0(sF13)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ)
| ~ aSet0(xI)
| ~ aSet0(xJ) ),
inference(superposition,[],[f419,f150]) ).
fof(f6674,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ)
| ~ aSet0(xI)
| ~ aSet0(xJ) ),
inference(forward_subsumption_resolution,[],[f6672,f151]) ).
fof(f6675,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ)
| ~ aSet0(xJ) ),
inference(forward_subsumption_resolution,[],[f6674,f153]) ).
fof(f6676,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ) ),
inference(forward_subsumption_resolution,[],[f6675,f152]) ).
fof(f6678,definition,
( spl14_15
<=> aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ) ),
introduced(definition,[new_symbols(definition,[spl14_15])],[avatar_definition]) ).
fof(f6679,plain,
( aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ)
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f6678]) ).
fof(f6680,plain,
( ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ)
| spl14_15 ),
inference(avatar_component_clause,[],[f6678]) ).
fof(f6682,definition,
( spl14_16
<=> aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
fof(f6683,plain,
( aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f6682]) ).
fof(f6686,definition,
( spl14_17
<=> aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13) ),
introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition]) ).
fof(f6688,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13)
| spl14_17 ),
inference(avatar_component_clause,[],[f6686]) ).
fof(f6689,plain,
( ~ spl14_15
| ~ spl14_16
| ~ spl14_17 ),
inference(avatar_split_clause,[],[f6676,f6686,f6682,f6678]) ).
fof(f6690,plain,
( ~ aElementOf0(sK10(sF13),xJ)
| ~ spl14_2
| spl14_14 ),
inference(resolution,[],[f6355,f591]) ).
fof(f6697,plain,
( $false
| ~ spl14_2
| spl14_14 ),
inference(forward_subsumption_resolution,[],[f6690,f560]) ).
fof(f6698,plain,
( ~ spl14_2
| spl14_14 ),
inference(avatar_contradiction_clause,[],[f6697]) ).
fof(f6819,plain,
( aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ spl14_1 ),
inference(resolution,[],[f263,f558]) ).
fof(f6821,plain,
( aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xJ)
| ~ spl14_1 ),
inference(resolution,[],[f263,f583]) ).
fof(f6833,plain,
( $false
| ~ spl14_1
| spl14_15 ),
inference(forward_subsumption_resolution,[],[f6821,f6680]) ).
fof(f6834,plain,
( ~ spl14_1
| spl14_15 ),
inference(avatar_contradiction_clause,[],[f6833]) ).
fof(f6835,plain,
( spl14_16
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f6819,f261,f6682]) ).
fof(f6836,plain,
( ~ aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),xI)
| aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13)
| ~ spl14_14 ),
inference(resolution,[],[f6354,f327]) ).
fof(f6858,plain,
( aElementOf0(sdtpldt0(sK10(sF13),sK11(sF13)),sF13)
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_subsumption_resolution,[],[f6836,f6350]) ).
fof(f6859,plain,
( $false
| ~ spl14_13
| ~ spl14_14
| spl14_17 ),
inference(forward_subsumption_resolution,[],[f6858,f6688]) ).
fof(f6860,plain,
( ~ spl14_13
| ~ spl14_14
| spl14_17 ),
inference(avatar_contradiction_clause,[],[f6859]) ).
fof(f6862,plain,
( ~ aElementOf0(sdtasdt0(sK12(sF13),sK10(sF13)),xI)
| ~ aSet0(xI)
| ~ aSet0(xJ)
| aElementOf0(sK11(sF13),sF13)
| aIdeal0(sF13)
| ~ spl14_15 ),
inference(forward_subsumption_resolution,[],[f6579,f6679]) ).
fof(f6863,plain,
( ~ aSet0(xI)
| ~ aSet0(xJ)
| aElementOf0(sK11(sF13),sF13)
| aIdeal0(sF13)
| ~ spl14_15
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f6862,f6683]) ).
fof(f6864,plain,
( ~ aSet0(xJ)
| aElementOf0(sK11(sF13),sF13)
| aIdeal0(sF13)
| ~ spl14_15
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f6863,f153]) ).
fof(f6865,plain,
( aElementOf0(sK11(sF13),sF13)
| aIdeal0(sF13)
| ~ spl14_15
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f6864,f152]) ).
fof(f6866,plain,
( aIdeal0(sF13)
| spl14_2
| ~ spl14_15
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f6865,f266]) ).
fof(f6867,plain,
( $false
| spl14_2
| ~ spl14_15
| ~ spl14_16 ),
inference(forward_subsumption_resolution,[],[f6866,f151]) ).
fof(f6868,plain,
( spl14_2
| ~ spl14_15
| ~ spl14_16 ),
inference(avatar_contradiction_clause,[],[f6867]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f268]) ).
cnf(s8,plain,
( spl14_1
| ~ spl14_13
| ~ spl14_14 ),
inference(sat_conversion,[],[f6356]) ).
cnf(s9,plain,
( ~ spl14_2
| spl14_13 ),
inference(sat_conversion,[],[f6365]) ).
cnf(s10,plain,
( ~ spl14_15
| ~ spl14_16
| ~ spl14_17 ),
inference(sat_conversion,[],[f6689]) ).
cnf(s11,plain,
( ~ spl14_2
| spl14_14 ),
inference(sat_conversion,[],[f6698]) ).
cnf(s12,plain,
( ~ spl14_1
| spl14_15 ),
inference(sat_conversion,[],[f6834]) ).
cnf(s13,plain,
( ~ spl14_1
| spl14_16 ),
inference(sat_conversion,[],[f6835]) ).
cnf(s14,plain,
( ~ spl14_13
| ~ spl14_14
| spl14_17 ),
inference(sat_conversion,[],[f6860]) ).
cnf(s15,plain,
( spl14_2
| ~ spl14_15
| ~ spl14_16 ),
inference(sat_conversion,[],[f6868]) ).
cnf(s17,plain,
spl14_1,
inference(rat,[],[s8,s9,s11,s1]) ).
cnf(s18,plain,
spl14_16,
inference(rat,[],[s13,s17]) ).
cnf(s19,plain,
spl14_15,
inference(rat,[],[s12,s17]) ).
cnf(s20,plain,
spl14_2,
inference(rat,[],[s15,s18,s19]) ).
cnf(s21,plain,
~ spl14_17,
inference(rat,[],[s10,s18,s19]) ).
cnf(s22,plain,
spl14_14,
inference(rat,[],[s11,s20]) ).
cnf(s23,plain,
spl14_13,
inference(rat,[],[s9,s20]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s14,s22,s21,s23]) ).
fof(f6869,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG093+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:11:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.78/1.21 % (1879414)Will run a generic schedule for satisfiability detection.
% 2.78/1.21 % (1879421)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1564993955:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.78/1.21 % (1879420)% WARNING: option uhcvi not known.
% 2.78/1.21 % (1879419)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=647507516_2999 on theBenchmark for (2999ds/0Mi)
% 2.78/1.21 % (1879420)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3632649692:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.78/1.21 % (1879424)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1712108517:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.78/1.21 % (1879422)dis+10_1_sil=32000:sp=arity:random_seed=2431397404:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.78/1.21 % (1879423)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1161305494:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.78/1.21 % (1879425)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3231507211:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.78/1.21 % TRYING [1]
% 2.78/1.21 % TRYING [2]
% 2.78/1.21 % TRYING [3]
% 2.78/1.21 % TRYING [4]
% 2.78/1.21 % (1879422)Instruction limit reached!
% 2.78/1.21 % (1879422)------------------------------
% 2.78/1.21 % (1879422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879422)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879422)Termination reason: Instruction limit
% 2.78/1.21 % (1879422)Termination phase: Saturation
% 2.78/1.21 % (1879422)Time elapsed: 0.061 s
% 2.78/1.21 % (1879422)Peak memory usage: 12 MB
% 2.78/1.21 % (1879422)Instructions burned: 105 (million)
% 2.78/1.21 % (1879423)Instruction limit reached!
% 2.78/1.21 % (1879423)------------------------------
% 2.78/1.21 % (1879423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879423)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879423)Termination reason: Instruction limit
% 2.78/1.21 % (1879423)Termination phase: Saturation
% 2.78/1.21 % (1879423)Time elapsed: 0.068 s
% 2.78/1.21 % (1879423)Peak memory usage: 13 MB
% 2.78/1.21 % (1879423)Instructions burned: 116 (million)
% 2.78/1.21 % (1879424)Instruction limit reached!
% 2.78/1.21 % (1879424)------------------------------
% 2.78/1.21 % (1879424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879424)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879424)Termination reason: Instruction limit
% 2.78/1.21 % (1879424)Termination phase: Saturation
% 2.78/1.21 % (1879424)Time elapsed: 0.071 s
% 2.78/1.21 % (1879424)Peak memory usage: 13 MB
% 2.78/1.21 % (1879424)Instructions burned: 132 (million)
% 2.78/1.21 % TRYING [5]
% 2.78/1.21 % (1879433)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1475495563:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.78/1.21 % TRYING [1]
% 2.78/1.21 % (1879434)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2116571027:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.78/1.21 % TRYING [2]
% 2.78/1.21 % (1879435)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=2751911483:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.78/1.21 % TRYING [3]
% 2.78/1.21 % (1879425)Instruction limit reached!
% 2.78/1.21 % (1879425)------------------------------
% 2.78/1.21 % (1879425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879425)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879425)Termination reason: Instruction limit
% 2.78/1.21 % (1879425)Termination phase: Saturation
% 2.78/1.21 % (1879425)Time elapsed: 0.099 s
% 2.78/1.21 % (1879425)Peak memory usage: 13 MB
% 2.78/1.21 % (1879425)Instructions burned: 160 (million)
% 2.78/1.21 % TRYING [4]
% 2.78/1.21 % (1879439)ott-21_1_sil=16000:fs=off:random_seed=116577972:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.78/1.21 % (1879434)Instruction limit reached!
% 2.78/1.21 % (1879434)------------------------------
% 2.78/1.21 % (1879434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879434)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879434)Termination reason: Instruction limit
% 2.78/1.21 % (1879434)Termination phase: Saturation
% 2.78/1.21 % (1879434)Time elapsed: 0.069 s
% 2.78/1.21 % (1879434)Peak memory usage: 13 MB
% 2.78/1.21 % (1879434)Instructions burned: 133 (million)
% 2.78/1.21 % (1879441)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1806394873:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.78/1.21 % (1879439)Instruction limit reached!
% 2.78/1.21 % (1879439)------------------------------
% 2.78/1.21 % (1879439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879439)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879439)Termination reason: Instruction limit
% 2.78/1.21 % (1879439)Termination phase: Saturation
% 2.78/1.21 % (1879439)Time elapsed: 0.089 s
% 2.78/1.21 % (1879439)Peak memory usage: 12 MB
% 2.78/1.21 % (1879439)Instructions burned: 182 (million)
% 2.78/1.21 % (1879443)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=790117936:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.78/1.21 % TRYING [1]
% 2.78/1.21 % TRYING [2]
% 2.78/1.21 % TRYING [5]
% 2.78/1.21 % TRYING [3]
% 2.78/1.21 % TRYING [6]
% 2.78/1.21 % TRYING [4]
% 2.78/1.21 % TRYING [5]
% 2.78/1.21 % (1879433)Instruction limit reached!
% 2.78/1.21 % (1879433)------------------------------
% 2.78/1.21 % (1879433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879433)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879433)Termination reason: Instruction limit
% 2.78/1.21 % (1879433)Termination phase: Finite model building SAT solving
% 2.78/1.21 % (1879433)Time elapsed: 0.358 s
% 2.78/1.21 % (1879433)Peak memory usage: 27 MB
% 2.78/1.21 % (1879433)Instructions burned: 714 (million)
% 2.78/1.21 % (1879445)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=202975796:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.78/1.21 % (1879435)Instruction limit reached!
% 2.78/1.21 % (1879435)------------------------------
% 2.78/1.21 % (1879435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879435)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879435)Termination reason: Instruction limit
% 2.78/1.21 % (1879435)Termination phase: Saturation
% 2.78/1.21 % (1879435)Time elapsed: 0.384 s
% 2.78/1.21 % (1879435)Peak memory usage: 20 MB
% 2.78/1.21 % (1879435)Instructions burned: 684 (million)
% 2.78/1.21 % (1879441)Instruction limit reached!
% 2.78/1.21 % (1879441)------------------------------
% 2.78/1.21 % (1879441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879441)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879441)Termination reason: Instruction limit
% 2.78/1.21 % (1879441)Termination phase: Saturation
% 2.78/1.21 % (1879441)Time elapsed: 0.296 s
% 2.78/1.21 % (1879441)Peak memory usage: 15 MB
% 2.78/1.21 % (1879441)Instructions burned: 478 (million)
% 2.78/1.21 % (1879447)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1981366703:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 2.78/1.21 % (1879448)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=557040397:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 2.78/1.21 % (1879443)Instruction limit reached!
% 2.78/1.21 % (1879443)------------------------------
% 2.78/1.21 % (1879443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879443)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879443)Termination reason: Instruction limit
% 2.78/1.21 % (1879443)Termination phase: Finite model building SAT solving
% 2.78/1.21 % (1879443)Time elapsed: 0.335 s
% 2.78/1.21 % (1879443)Peak memory usage: 24 MB
% 2.78/1.21 % (1879443)Instructions burned: 866 (million)
% 2.78/1.21 % (1879451)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2506744138:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 2.78/1.21 % (1879445) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1879414-1879445"...
% 2.78/1.21 % (1879445)...printing done.
% 2.78/1.21 % (1879445)Refutation found. Thanks to Tanya!
% 2.78/1.21 % SZS status Theorem for theBenchmark
% 2.78/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.21 % (1879445)------------------------------
% 2.78/1.21 % (1879445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/1.21 % (1879445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.21 % (1879445)CaDiCaL version: 2.1.3
% 2.78/1.21 % (1879445)Termination reason: Refutation
% 2.78/1.21 % (1879445)Time elapsed: 0.263 s
% 2.78/1.21 % (1879445)Peak memory usage: 18 MB
% 2.78/1.21 % (1879445)Instructions burned: 473 (million)
% 2.78/1.21 % (1879414)Success in time 0.78 s
% 2.78/1.21 % Vampire exiting
%------------------------------------------------------------------------------