%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG093+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 : n020.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 12:35:29 PM UTC 2026
% Result : Theorem 2.22s 1.71s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 175 ( 32 unt; 20 def)
% Number of atoms : 572 ( 15 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 705 ( 308 ~; 299 |; 62 &)
% ( 29 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 21 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 128 ( 0 sgn 116 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f26,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1150) ).
fof(f27,conjecture,
aIdeal0(sdtasasdt0(xI,xJ)),
file('/export/starexec/sandbox2/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] :
( ~ aIdeal0(X0)
| ~ aElement0(X6)
| ~ aElementOf0(X4,X0)
| aElementOf0(sdtasdt0(X6,X4),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
! [X0,X4,X5] :
( ~ aIdeal0(X0)
| ~ aElementOf0(X5,X0)
| ~ aElementOf0(X4,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElementOf0(sK10(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f135,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0),X0)
| aElement0(sK12(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f136,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0),X0)
| ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
| aElement0(sK12(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
| ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),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,X0)
| ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f125]) ).
fof(f148,plain,
! [X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f124]) ).
fof(f181,plain,
aSet0(xJ),
inference(resolution,[],[f133,f140]) ).
fof(f182,plain,
aSet0(xI),
inference(resolution,[],[f133,f141]) ).
fof(f187,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)) ),
inference(resolution,[],[f134,f142]) ).
fof(f190,definition,
( spl14_1
<=> aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f191,plain,
( aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,definition,
( spl14_2
<=> aSet0(sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f194,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| spl14_2 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f187,f193,f190]) ).
fof(f197,plain,
( ~ aSet0(xI)
| ~ aSet0(xJ)
| spl14_2 ),
inference(resolution,[],[f145,f194]) ).
fof(f200,definition,
( spl14_3
<=> aSet0(xJ) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f201,plain,
( ~ aSet0(xJ)
| spl14_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl14_4
<=> aSet0(xI) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f204,plain,
( ~ aSet0(xI)
| spl14_4 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f205,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_2 ),
inference(avatar_split_clause,[],[f197,f193,f203,f200]) ).
fof(f206,plain,
( $false
| spl14_3 ),
inference(resolution,[],[f201,f181]) ).
fof(f207,plain,
spl14_3,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f208,plain,
( $false
| spl14_4 ),
inference(resolution,[],[f204,f182]) ).
fof(f209,plain,
spl14_4,
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f212,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| aElement0(sK12(sdtasasdt0(xI,xJ))) ),
inference(resolution,[],[f135,f142]) ).
fof(f215,definition,
( spl14_5
<=> aElement0(sK12(sdtasasdt0(xI,xJ))) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f216,plain,
( aElement0(sK12(sdtasasdt0(xI,xJ)))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,definition,
( spl14_6
<=> aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f219,plain,
( aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( spl14_5
| spl14_6
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f212,f193,f218,f215]) ).
fof(f226,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xI)
| aElementOf0(sdtasdt0(X0,X1),xI) ),
inference(resolution,[],[f131,f141]) ).
fof(f227,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(X1,xJ)
| aElementOf0(sdtasdt0(X0,X1),xJ) ),
inference(resolution,[],[f131,f140]) ).
fof(f249,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,X0),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(resolution,[],[f132,f141]) ).
fof(f250,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X1,X0),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(resolution,[],[f132,f140]) ).
fof(f251,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| aElement0(sK12(sdtasasdt0(xI,xJ))) ),
inference(resolution,[],[f137,f142]) ).
fof(f256,definition,
( spl14_7
<=> aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f257,plain,
( ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| spl14_7 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( spl14_5
| ~ spl14_7
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f251,f193,f256,f215]) ).
fof(f350,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),X0),xJ)
| ~ aElementOf0(X0,xJ) )
| ~ spl14_5 ),
inference(resolution,[],[f216,f227]) ).
fof(f351,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),X0),xI)
| ~ aElementOf0(X0,xI) )
| ~ spl14_5 ),
inference(resolution,[],[f216,f226]) ).
fof(f419,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ)) ),
inference(resolution,[],[f136,f142]) ).
fof(f716,plain,
( ~ aSet0(sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ)) ),
inference(resolution,[],[f138,f142]) ).
fof(f721,definition,
( spl14_71
<=> aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl14_71])],[avatar_definition]) ).
fof(f722,plain,
( ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| spl14_71 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f723,plain,
( ~ spl14_71
| ~ spl14_7
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f716,f193,f256,f721]) ).
fof(f736,definition,
( spl14_74
<=> aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),xJ) ),
introduced(definition,[new_symbols(definition,[spl14_74])],[avatar_definition]) ).
fof(f737,plain,
( ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),xJ)
| spl14_74 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f739,definition,
( spl14_75
<=> aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),xI) ),
introduced(definition,[new_symbols(definition,[spl14_75])],[avatar_definition]) ).
fof(f740,plain,
( ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),xI)
| spl14_75 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f742,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),xI)
| ~ spl14_5
| spl14_75 ),
inference(resolution,[],[f740,f351]) ).
fof(f759,definition,
( spl14_79
<=> aElementOf0(sK10(sdtasasdt0(xI,xJ)),xI) ),
introduced(definition,[new_symbols(definition,[spl14_79])],[avatar_definition]) ).
fof(f760,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),xI)
| spl14_79 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f766,plain,
( ~ spl14_79
| ~ spl14_5
| spl14_75 ),
inference(avatar_split_clause,[],[f742,f739,f215,f759]) ).
fof(f767,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),xJ)
| ~ spl14_5
| spl14_74 ),
inference(resolution,[],[f737,f350]) ).
fof(f781,definition,
( spl14_83
<=> aElementOf0(sK10(sdtasasdt0(xI,xJ)),xJ) ),
introduced(definition,[new_symbols(definition,[spl14_83])],[avatar_definition]) ).
fof(f782,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),xJ)
| spl14_83 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f785,plain,
( ~ spl14_83
| ~ spl14_5
| spl14_74 ),
inference(avatar_split_clause,[],[f767,f736,f215,f781]) ).
fof(f789,definition,
( spl14_84
<=> ! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,X0))
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_84])],[avatar_definition]) ).
fof(f790,plain,
( ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,X0)) )
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f812,definition,
( spl14_87
<=> ! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(X0,xJ))
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_87])],[avatar_definition]) ).
fof(f813,plain,
( ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(X0,xJ)) )
| ~ spl14_87 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f837,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ spl14_84 ),
inference(resolution,[],[f790,f181]) ).
fof(f873,definition,
( spl14_91
<=> aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),xJ) ),
introduced(definition,[new_symbols(definition,[spl14_91])],[avatar_definition]) ).
fof(f874,plain,
( ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),xJ)
| spl14_91 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f876,definition,
( spl14_92
<=> aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),xI) ),
introduced(definition,[new_symbols(definition,[spl14_92])],[avatar_definition]) ).
fof(f877,plain,
( ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),xI)
| spl14_92 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f884,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),xJ)
| ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),xJ)
| spl14_91 ),
inference(resolution,[],[f874,f250]) ).
fof(f896,definition,
( spl14_95
<=> aElementOf0(sK11(sdtasasdt0(xI,xJ)),xJ) ),
introduced(definition,[new_symbols(definition,[spl14_95])],[avatar_definition]) ).
fof(f897,plain,
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),xJ)
| spl14_95 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f898,plain,
( ~ spl14_95
| ~ spl14_83
| spl14_91 ),
inference(avatar_split_clause,[],[f884,f873,f781,f896]) ).
fof(f918,definition,
( spl14_98
<=> aElementOf0(sK11(sdtasasdt0(xI,xJ)),xI) ),
introduced(definition,[new_symbols(definition,[spl14_98])],[avatar_definition]) ).
fof(f919,plain,
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),xI)
| spl14_98 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f974,plain,
( ! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,X0))
| ~ aSet0(xI)
| ~ aSet0(X0) )
| spl14_79 ),
inference(resolution,[],[f760,f147]) ).
fof(f975,plain,
( ~ spl14_4
| spl14_84
| spl14_79 ),
inference(avatar_split_clause,[],[f974,f759,f789,f203]) ).
fof(f1001,definition,
( spl14_103
<=> ! [X0] :
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(X0,xJ))
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_103])],[avatar_definition]) ).
fof(f1002,plain,
( ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(X0,xJ)) )
| ~ spl14_103 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1004,plain,
( ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),xI)
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(xI,xJ)),sK11(sdtasasdt0(xI,xJ))),xJ)
| ~ aSet0(xI)
| ~ aSet0(xJ)
| spl14_7 ),
inference(resolution,[],[f257,f146]) ).
fof(f1007,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_91
| ~ spl14_92
| spl14_7 ),
inference(avatar_split_clause,[],[f1004,f256,f876,f873,f203,f200]) ).
fof(f1008,plain,
( $false
| ~ spl14_1
| ~ spl14_84 ),
inference(resolution,[],[f837,f191]) ).
fof(f1012,plain,
( ~ spl14_1
| ~ spl14_84 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1021,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),xI)
| ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),xI)
| spl14_92 ),
inference(resolution,[],[f877,f249]) ).
fof(f1026,plain,
( ~ spl14_98
| ~ spl14_79
| spl14_92 ),
inference(avatar_split_clause,[],[f1021,f876,f759,f918]) ).
fof(f1028,plain,
( ! [X0] :
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,X0))
| ~ aSet0(xI)
| ~ aSet0(X0) )
| spl14_98 ),
inference(resolution,[],[f919,f147]) ).
fof(f1030,definition,
( spl14_106
<=> ! [X0] :
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,X0))
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_106])],[avatar_definition]) ).
fof(f1031,plain,
( ! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,X0)) )
| ~ spl14_106 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1032,plain,
( ~ spl14_4
| spl14_106
| spl14_98 ),
inference(avatar_split_clause,[],[f1028,f918,f1030,f203]) ).
fof(f1076,plain,
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ spl14_106 ),
inference(resolution,[],[f1031,f181]) ).
fof(f1099,plain,
( $false
| ~ spl14_6
| ~ spl14_106 ),
inference(resolution,[],[f1076,f219]) ).
fof(f1103,plain,
( ~ spl14_6
| ~ spl14_106 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1112,plain,
( ~ spl14_71
| spl14_6
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f419,f193,f218,f721]) ).
fof(f1117,plain,
( ! [X0] :
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(X0,xJ))
| ~ aSet0(X0)
| ~ aSet0(xJ) )
| spl14_83 ),
inference(resolution,[],[f782,f148]) ).
fof(f1120,plain,
( ~ spl14_3
| spl14_87
| spl14_83 ),
inference(avatar_split_clause,[],[f1117,f781,f812,f200]) ).
fof(f1121,plain,
( ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),xI)
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(xI,xJ)),sK10(sdtasasdt0(xI,xJ))),xJ)
| ~ aSet0(xI)
| ~ aSet0(xJ)
| spl14_71 ),
inference(resolution,[],[f722,f146]) ).
fof(f1124,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_74
| ~ spl14_75
| spl14_71 ),
inference(avatar_split_clause,[],[f1121,f721,f739,f736,f203,f200]) ).
fof(f1184,plain,
( ~ aElementOf0(sK10(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ spl14_87 ),
inference(resolution,[],[f813,f182]) ).
fof(f1191,plain,
( $false
| ~ spl14_1
| ~ spl14_87 ),
inference(resolution,[],[f1184,f191]) ).
fof(f1195,plain,
( ~ spl14_1
| ~ spl14_87 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1201,plain,
( ! [X0] :
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(X0,xJ))
| ~ aSet0(X0)
| ~ aSet0(xJ) )
| spl14_95 ),
inference(resolution,[],[f897,f148]) ).
fof(f1204,plain,
( ~ spl14_3
| spl14_103
| spl14_95 ),
inference(avatar_split_clause,[],[f1201,f896,f1001,f200]) ).
fof(f1284,plain,
( ~ aElementOf0(sK11(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ))
| ~ spl14_103 ),
inference(resolution,[],[f1002,f182]) ).
fof(f1297,plain,
( $false
| ~ spl14_6
| ~ spl14_103 ),
inference(resolution,[],[f1284,f219]) ).
fof(f1301,plain,
( ~ spl14_6
| ~ spl14_103 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
cnf(s1,plain,
( spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(sat_conversion,[],[f205]) ).
cnf(s3,plain,
spl14_3,
inference(sat_conversion,[],[f207]) ).
cnf(s4,plain,
spl14_4,
inference(sat_conversion,[],[f209]) ).
cnf(s5,plain,
( ~ spl14_2
| spl14_5
| spl14_6 ),
inference(sat_conversion,[],[f220]) ).
cnf(s6,plain,
( ~ spl14_2
| spl14_5
| ~ spl14_7 ),
inference(sat_conversion,[],[f258]) ).
cnf(s66,plain,
( ~ spl14_2
| ~ spl14_7
| ~ spl14_71 ),
inference(sat_conversion,[],[f723]) ).
cnf(s74,plain,
( ~ spl14_5
| spl14_75
| ~ spl14_79 ),
inference(sat_conversion,[],[f766]) ).
cnf(s79,plain,
( ~ spl14_5
| spl14_74
| ~ spl14_83 ),
inference(sat_conversion,[],[f785]) ).
cnf(s108,plain,
( ~ spl14_83
| spl14_91
| ~ spl14_95 ),
inference(sat_conversion,[],[f898]) ).
cnf(s134,plain,
( ~ spl14_4
| spl14_79
| spl14_84 ),
inference(sat_conversion,[],[f975]) ).
cnf(s143,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_7
| ~ spl14_91
| ~ spl14_92 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s144,plain,
( ~ spl14_1
| ~ spl14_84 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s149,plain,
( ~ spl14_79
| spl14_92
| ~ spl14_98 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s150,plain,
( ~ spl14_4
| spl14_98
| spl14_106 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s164,plain,
( ~ spl14_6
| ~ spl14_106 ),
inference(sat_conversion,[],[f1103]) ).
cnf(s167,plain,
( ~ spl14_2
| spl14_6
| ~ spl14_71 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s172,plain,
( ~ spl14_3
| spl14_83
| spl14_87 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s173,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_71
| ~ spl14_74
| ~ spl14_75 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s183,plain,
( ~ spl14_1
| ~ spl14_87 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s190,plain,
( ~ spl14_3
| spl14_95
| spl14_103 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s207,plain,
( ~ spl14_6
| ~ spl14_103 ),
inference(sat_conversion,[],[f1301]) ).
cnf(s213,plain,
spl14_2,
inference(rat,[],[s2,s4,s3]) ).
cnf(s232,plain,
spl14_1,
inference(rat,[],[s1,s213]) ).
cnf(s233,plain,
~ spl14_87,
inference(rat,[],[s183,s232]) ).
cnf(s234,plain,
~ spl14_84,
inference(rat,[],[s144,s232]) ).
cnf(s235,plain,
spl14_83,
inference(rat,[],[s172,s3,s233]) ).
cnf(s236,plain,
spl14_79,
inference(rat,[],[s134,s4,s234]) ).
cnf(s239,plain,
spl14_5,
inference(rat,[],[s143,s149,s108,s150,s190,s164,s207,s5,s6,s4,s3,s236,s235,s213]) ).
cnf(s240,plain,
spl14_74,
inference(rat,[],[s79,s235,s239]) ).
cnf(s241,plain,
spl14_75,
inference(rat,[],[s74,s236,s239]) ).
cnf(s242,plain,
spl14_71,
inference(rat,[],[s173,s240,s3,s4,s241]) ).
cnf(s244,plain,
spl14_6,
inference(rat,[],[s167,s213,s242]) ).
cnf(s245,plain,
~ spl14_7,
inference(rat,[],[s66,s213,s242]) ).
cnf(s246,plain,
~ spl14_103,
inference(rat,[],[s207,s244]) ).
cnf(s247,plain,
~ spl14_106,
inference(rat,[],[s164,s244]) ).
cnf(s250,plain,
spl14_95,
inference(rat,[],[s190,s3,s246]) ).
cnf(s251,plain,
spl14_98,
inference(rat,[],[s150,s4,s247]) ).
cnf(s260,plain,
spl14_91,
inference(rat,[],[s108,s235,s250]) ).
cnf(s262,plain,
spl14_92,
inference(rat,[],[s149,s236,s251]) ).
cnf(s283,plain,
$false,
inference(rat,[],[s143,s245,s3,s4,s260,s262]) ).
fof(f1304,plain,
$false,
inference(avatar_sat_refutation,[],[s283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG093+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n020.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 27 23:14:34 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 2.22/1.71 % (3875286)Detected formulas, will run a generic FOF schedule.
% 2.22/1.71 % (3875294)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2238709519:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.22/1.71 % (3875294)Refutation not found, incomplete strategy
% 2.22/1.71 % (3875294)------------------------------
% 2.22/1.71 % (3875294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.71 % (3875294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.71 % (3875294)CaDiCaL version: 2.1.3
% 2.22/1.71 % (3875294)Termination reason: Refutation not found, incomplete strategy
% 2.22/1.71 % (3875294)Time elapsed: 0.002 s
% 2.22/1.71 % (3875294)Peak memory usage: 88 MB
% 2.22/1.71 % (3875294)Instructions burned: 1 (million)
% 2.22/1.71 % (3875297)dis-21_1_sil=8000:lcm=predicate:random_seed=3177028137: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)
% 2.22/1.71 % (3875297)First to succeed.
% 2.22/1.71 % (3875297)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3875286"
% 2.22/1.71 % (3875292)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=3949787043:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.22/1.71 % (3875293)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=704037419:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.22/1.71 % (3875296)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1136622304:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.22/1.71 % (3875291)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=36676177:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.22/1.71 % (3875295)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2755123073:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.22/1.71 % (3875296)Also succeeded, but the first one will report.
% 2.22/1.71 % (3875295)Instruction limit reached!
% 2.22/1.71 % (3875295)------------------------------
% 2.22/1.71 % (3875295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.71 % (3875295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.71 % (3875295)CaDiCaL version: 2.1.3
% 2.22/1.71 % (3875295)Termination reason: Instruction limit
% 2.22/1.71 % (3875295)Termination phase: Saturation
% 2.22/1.71 % (3875295)Time elapsed: 0.111 s
% 2.22/1.71 % (3875295)Peak memory usage: 89 MB
% 2.22/1.71 % (3875295)Instructions burned: 119 (million)
% 2.22/1.71 % (3875294)------------------------------
% 2.22/1.71 % (3875294)------------------------------
% 2.22/1.71 % (3875305)lrs+10_1_sil=8000:sp=occurrence:random_seed=626049702:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.22/1.71 % (3875306)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2853127591:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.22/1.71 % (3875297)Refutation found. Thanks to Tanya!
% 2.22/1.71 % SZS status Theorem for theBenchmark
% 2.22/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/1.98 % (3875297)------------------------------
% 5.46/1.98 % (3875297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.98 % (3875297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.98 % (3875297)CaDiCaL version: 2.1.3
% 5.46/1.98 % (3875297)Termination reason: Refutation
% 5.46/1.98 % (3875297)Time elapsed: 0.034 s
% 5.46/1.98 % (3875297)Peak memory usage: 90 MB
% 5.46/1.98 % (3875297)Instructions burned: 27 (million)
% 5.46/1.98 % (3875297)------------------------------
% 5.46/1.98 % (3875297)------------------------------
% 5.46/1.98 % (3875286)Success in time 0.655 s
% 5.46/1.98 % Vampire exiting
%------------------------------------------------------------------------------