%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC290+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:03:18 PM UTC 2026
% Result : Theorem 6.92s 1.83s
% Output : Refutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 115 ( 21 unt; 8 def)
% Number of atoms : 501 ( 47 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 663 ( 277 ~; 285 |; 64 &)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn 144 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ? [X7] :
( ssItem(X7)
& ( ( ~ lt(X4,X7)
& memberP(X6,X7) )
| ( ~ lt(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| strictorderedP(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ? [X7] :
( ssItem(X7)
& ( ( ~ lt(X4,X7)
& memberP(X6,X7) )
| ( ~ lt(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| strictorderedP(X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X2
| ! [X7] :
( ~ ssItem(X7)
| ( ( lt(X4,X7)
| ~ memberP(X6,X7) )
& ( lt(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ~ strictorderedP(X0) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f133,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f134,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
( ssList(sK3)
& sK1 = sK3
& sK0 = sK2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK2
| ! [X7] :
( ~ ssItem(X7)
| ( ( lt(X4,X7)
| ~ memberP(X6,X7) )
& ( lt(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ~ strictorderedP(sK0)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f98]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK8(X0,X1))
& ssList(sK9(X0,X1))
& app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f145]) ).
fof(f151,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f152,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK10(X0),sK11(X0))
& app(app(sK12(X0),cons(sK10(X0),sK13(X0))),cons(sK11(X0),sK14(X0))) = X0
& ssList(sK14(X0))
& ssList(sK13(X0))
& ssList(sK12(X0))
& ssItem(sK11(X0))
& ssItem(sK10(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0)),skolemize(X4,sK13(X0)),skolemize(X5,sK14(X0))],[f152]) ).
fof(f154,plain,
ssList(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f157,plain,
~ strictorderedP(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f158,plain,
! [X6,X7,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssItem(X7)
| lt(X7,X4)
| ~ memberP(X5,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f160,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f135]) ).
fof(f173,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f178,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f179,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f184,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f185,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f213,plain,
! [X0] :
( ssItem(sK10(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f214,plain,
! [X0] :
( ssItem(sK11(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f215,plain,
! [X0] :
( ssList(sK12(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f216,plain,
! [X0] :
( ssList(sK13(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f217,plain,
! [X0] :
( ssList(sK14(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f218,plain,
! [X0] :
( app(app(sK12(X0),cons(sK10(X0),sK13(X0))),cons(sK11(X0),sK14(X0))) = X0
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f219,plain,
! [X0] :
( ~ lt(sK10(X0),sK11(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f223,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f196]) ).
fof(f233,plain,
! [X6,X7,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK0
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(X7)
| lt(X7,X4)
| ~ memberP(X5,X7) ),
inference(forward_demodulation,[],[f158,f160]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X0,app(cons(X1,nil),X2))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X3)
| lt(X3,X1)
| ~ memberP(X0,X3)
| ~ ssList(X2)
| ~ ssList(cons(X1,nil))
| ~ ssList(X0) ),
inference(superposition,[],[f233,f178]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X0,app(cons(X1,nil),X2))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X3)
| lt(X3,X1)
| ~ memberP(X0,X3)
| ~ ssList(cons(X1,nil)) ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X2,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| lt(X3,X0)
| ~ memberP(X2,X3)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(superposition,[],[f241,f179]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X2,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| lt(X3,X0)
| ~ memberP(X2,X3)
| ~ ssList(cons(X0,nil)) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f457,plain,
! [X0,X1] :
( sK0 != X0
| ~ ssItem(sK11(X0))
| ~ ssList(app(sK12(X0),cons(sK10(X0),sK13(X0))))
| ~ ssList(sK14(X0))
| ~ ssItem(X1)
| lt(X1,sK11(X0))
| ~ memberP(app(sK12(X0),cons(sK10(X0),sK13(X0))),X1)
| ~ ssList(cons(sK11(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f288,f218]) ).
fof(f466,plain,
! [X0,X1] :
( sK0 != X0
| ~ ssList(app(sK12(X0),cons(sK10(X0),sK13(X0))))
| ~ ssList(sK14(X0))
| ~ ssItem(X1)
| lt(X1,sK11(X0))
| ~ memberP(app(sK12(X0),cons(sK10(X0),sK13(X0))),X1)
| ~ ssList(cons(sK11(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f457,f214]) ).
fof(f471,plain,
! [X0,X1] :
( sK0 != X0
| ~ ssList(app(sK12(X0),cons(sK10(X0),sK13(X0))))
| ~ ssItem(X1)
| lt(X1,sK11(X0))
| ~ memberP(app(sK12(X0),cons(sK10(X0),sK13(X0))),X1)
| ~ ssList(cons(sK11(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f466,f217]) ).
fof(f1850,definition,
( spl15_54
<=> ssList(cons(sK11(sK0),nil)) ),
introduced(definition,[new_symbols(definition,[spl15_54])],[avatar_definition]) ).
fof(f1851,plain,
( ~ ssList(cons(sK11(sK0),nil))
| spl15_54 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f1856,definition,
( spl15_56
<=> ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl15_56])],[avatar_definition]) ).
fof(f1857,plain,
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| spl15_56 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1859,plain,
( ~ ssItem(sK11(sK0))
| ~ ssList(nil)
| spl15_54 ),
inference(resolution,[],[f1851,f173]) ).
fof(f1860,plain,
( ~ ssItem(sK11(sK0))
| spl15_54 ),
inference(forward_subsumption_resolution,[],[f1859,f185]) ).
fof(f1861,plain,
( strictorderedP(sK0)
| ~ ssList(sK0)
| spl15_54 ),
inference(resolution,[],[f1860,f214]) ).
fof(f1862,plain,
( ~ ssList(sK0)
| spl15_54 ),
inference(forward_subsumption_resolution,[],[f1861,f157]) ).
fof(f1863,plain,
( $false
| spl15_54 ),
inference(forward_subsumption_resolution,[],[f1862,f154]) ).
fof(f1864,plain,
spl15_54,
inference(avatar_contradiction_clause,[],[f1863]) ).
fof(f1877,plain,
( ~ ssList(cons(sK10(sK0),sK13(sK0)))
| ~ ssList(sK12(sK0))
| spl15_56 ),
inference(resolution,[],[f1857,f184]) ).
fof(f1879,definition,
( spl15_57
<=> ssList(sK12(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_57])],[avatar_definition]) ).
fof(f1880,plain,
( ~ ssList(sK12(sK0))
| spl15_57 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1882,definition,
( spl15_58
<=> ssList(cons(sK10(sK0),sK13(sK0))) ),
introduced(definition,[new_symbols(definition,[spl15_58])],[avatar_definition]) ).
fof(f1883,plain,
( ~ ssList(cons(sK10(sK0),sK13(sK0)))
| spl15_58 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f1884,plain,
( ~ spl15_57
| ~ spl15_58
| spl15_56 ),
inference(avatar_split_clause,[],[f1877,f1856,f1882,f1879]) ).
fof(f1903,plain,
( strictorderedP(sK0)
| ~ ssList(sK0)
| spl15_57 ),
inference(resolution,[],[f1880,f215]) ).
fof(f1904,plain,
( ~ ssList(sK0)
| spl15_57 ),
inference(forward_subsumption_resolution,[],[f1903,f157]) ).
fof(f1905,plain,
( $false
| spl15_57 ),
inference(forward_subsumption_resolution,[],[f1904,f154]) ).
fof(f1906,plain,
spl15_57,
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1907,plain,
( ~ ssItem(sK10(sK0))
| ~ ssList(sK13(sK0))
| spl15_58 ),
inference(resolution,[],[f1883,f173]) ).
fof(f1909,definition,
( spl15_59
<=> ssList(sK13(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_59])],[avatar_definition]) ).
fof(f1910,plain,
( ~ ssList(sK13(sK0))
| spl15_59 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1912,definition,
( spl15_60
<=> ssItem(sK10(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_60])],[avatar_definition]) ).
fof(f1913,plain,
( ~ ssItem(sK10(sK0))
| spl15_60 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1914,plain,
( ~ spl15_59
| ~ spl15_60
| spl15_58 ),
inference(avatar_split_clause,[],[f1907,f1882,f1912,f1909]) ).
fof(f1915,plain,
( strictorderedP(sK0)
| ~ ssList(sK0)
| spl15_59 ),
inference(resolution,[],[f1910,f216]) ).
fof(f1916,plain,
( ~ ssList(sK0)
| spl15_59 ),
inference(forward_subsumption_resolution,[],[f1915,f157]) ).
fof(f1917,plain,
( $false
| spl15_59 ),
inference(forward_subsumption_resolution,[],[f1916,f154]) ).
fof(f1918,plain,
spl15_59,
inference(avatar_contradiction_clause,[],[f1917]) ).
fof(f1919,plain,
( strictorderedP(sK0)
| ~ ssList(sK0)
| spl15_60 ),
inference(resolution,[],[f1913,f213]) ).
fof(f1920,plain,
( ~ ssList(sK0)
| spl15_60 ),
inference(forward_subsumption_resolution,[],[f1919,f157]) ).
fof(f1921,plain,
( $false
| spl15_60 ),
inference(forward_subsumption_resolution,[],[f1920,f154]) ).
fof(f1922,plain,
spl15_60,
inference(avatar_contradiction_clause,[],[f1921]) ).
fof(f3012,plain,
! [X0] :
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ ssItem(X0)
| lt(X0,sK11(sK0))
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssList(cons(sK11(sK0),nil))
| strictorderedP(sK0)
| ~ ssList(sK0) ),
inference(equality_resolution,[],[f471]) ).
fof(f3013,plain,
! [X0] :
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ ssItem(X0)
| lt(X0,sK11(sK0))
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssList(cons(sK11(sK0),nil))
| ~ ssList(sK0) ),
inference(forward_subsumption_resolution,[],[f3012,f157]) ).
fof(f3014,plain,
! [X0] :
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ ssItem(X0)
| lt(X0,sK11(sK0))
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssList(cons(sK11(sK0),nil)) ),
inference(forward_subsumption_resolution,[],[f3013,f154]) ).
fof(f3016,definition,
( spl15_126
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| lt(X0,sK11(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl15_126])],[avatar_definition]) ).
fof(f3017,plain,
( ! [X0] :
( ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssItem(X0)
| lt(X0,sK11(sK0)) )
| ~ spl15_126 ),
inference(avatar_component_clause,[],[f3016]) ).
fof(f3018,plain,
( ~ spl15_54
| spl15_126
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f3014,f1856,f3016,f1850]) ).
fof(f3021,plain,
( ~ ssItem(sK10(sK0))
| lt(sK10(sK0),sK11(sK0))
| ~ ssList(sK12(sK0))
| ~ ssList(sK13(sK0))
| ~ ssItem(sK10(sK0))
| ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ spl15_126 ),
inference(resolution,[],[f3017,f223]) ).
fof(f3022,plain,
( ~ ssItem(sK10(sK0))
| lt(sK10(sK0),sK11(sK0))
| ~ ssList(sK12(sK0))
| ~ ssList(sK13(sK0))
| ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ spl15_126 ),
inference(duplicate_literal_removal,[],[f3021]) ).
fof(f3026,definition,
( spl15_127
<=> lt(sK10(sK0),sK11(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_127])],[avatar_definition]) ).
fof(f3027,plain,
( lt(sK10(sK0),sK11(sK0))
| ~ spl15_127 ),
inference(avatar_component_clause,[],[f3026]) ).
fof(f3028,plain,
( ~ spl15_56
| ~ spl15_59
| ~ spl15_57
| spl15_127
| ~ spl15_60
| ~ spl15_126 ),
inference(avatar_split_clause,[],[f3022,f3016,f1912,f3026,f1879,f1909,f1856]) ).
fof(f3037,plain,
( strictorderedP(sK0)
| ~ ssList(sK0)
| ~ spl15_127 ),
inference(resolution,[],[f3027,f219]) ).
fof(f3118,plain,
( ~ ssList(sK0)
| ~ spl15_127 ),
inference(forward_subsumption_resolution,[],[f3037,f157]) ).
fof(f3119,plain,
( $false
| ~ spl15_127 ),
inference(forward_subsumption_resolution,[],[f3118,f154]) ).
fof(f3120,plain,
~ spl15_127,
inference(avatar_contradiction_clause,[],[f3119]) ).
cnf(s71,plain,
spl15_54,
inference(sat_conversion,[],[f1864]) ).
cnf(s72,plain,
( spl15_56
| ~ spl15_57
| ~ spl15_58 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s73,plain,
spl15_57,
inference(sat_conversion,[],[f1906]) ).
cnf(s74,plain,
( spl15_58
| ~ spl15_59
| ~ spl15_60 ),
inference(sat_conversion,[],[f1914]) ).
cnf(s75,plain,
spl15_59,
inference(sat_conversion,[],[f1918]) ).
cnf(s76,plain,
spl15_60,
inference(sat_conversion,[],[f1922]) ).
cnf(s157,plain,
( ~ spl15_54
| ~ spl15_56
| spl15_126 ),
inference(sat_conversion,[],[f3018]) ).
cnf(s158,plain,
( ~ spl15_56
| ~ spl15_57
| ~ spl15_59
| ~ spl15_60
| ~ spl15_126
| spl15_127 ),
inference(sat_conversion,[],[f3028]) ).
cnf(s177,plain,
~ spl15_127,
inference(sat_conversion,[],[f3120]) ).
cnf(s178,plain,
( ~ spl15_56
| ~ spl15_57
| ~ spl15_59
| ~ spl15_60
| ~ spl15_126 ),
inference(rat,[],[s158,s177]) ).
cnf(s197,plain,
spl15_58,
inference(rat,[],[s74,s76,s75]) ).
cnf(s198,plain,
spl15_56,
inference(rat,[],[s72,s197,s73]) ).
cnf(s199,plain,
~ spl15_126,
inference(rat,[],[s178,s73,s76,s75,s198]) ).
cnf(s200,plain,
~ spl15_54,
inference(rat,[],[s157,s199,s198]) ).
cnf(s201,plain,
$false,
inference(rat,[],[s71,s200]) ).
fof(f3121,plain,
$false,
inference(avatar_sat_refutation,[],[s201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC290+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 08:53:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.92/1.83 % (1783629)Detected formulas, will run a generic FOF schedule.
% 6.92/1.83 % (1783638)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2924008637:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.92/1.83 % (1783639)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=968030242:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.92/1.83 % (1783637)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3961258406:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.92/1.83 % (1783636)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=1960533482:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.92/1.83 % (1783635)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=1658200464:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.92/1.83 % (1783634)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=2866845013:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.92/1.83 % (1783640)dis-21_1_sil=8000:lcm=predicate:random_seed=2311859636: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)
% 6.92/1.83 % (1783638)Instruction limit reached!
% 6.92/1.83 % (1783638)------------------------------
% 6.92/1.83 % (1783638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783638)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783638)Termination reason: Instruction limit
% 6.92/1.83 % (1783638)Termination phase: Saturation
% 6.92/1.83 % (1783638)Time elapsed: 0.038 s
% 6.92/1.83 % (1783638)Peak memory usage: 88 MB
% 6.92/1.83 % (1783638)Instructions burned: 121 (million)
% 6.92/1.83 % (1783637)Instruction limit reached!
% 6.92/1.83 % (1783637)------------------------------
% 6.92/1.83 % (1783637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783637)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783637)Termination reason: Instruction limit
% 6.92/1.83 % (1783637)Termination phase: Saturation
% 6.92/1.83 % (1783637)Time elapsed: 0.068 s
% 6.92/1.83 % (1783637)Peak memory usage: 89 MB
% 6.92/1.83 % (1783637)Instructions burned: 110 (million)
% 6.92/1.83 % (1783640)Instruction limit reached!
% 6.92/1.83 % (1783640)------------------------------
% 6.92/1.83 % (1783640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783640)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783640)Termination reason: Instruction limit
% 6.92/1.83 % (1783640)Termination phase: Saturation
% 6.92/1.83 % (1783640)Time elapsed: 0.070 s
% 6.92/1.83 % (1783640)Peak memory usage: 91 MB
% 6.92/1.83 % (1783640)Instructions burned: 130 (million)
% 6.92/1.83 % (1783639)Instruction limit reached!
% 6.92/1.83 % (1783639)------------------------------
% 6.92/1.83 % (1783639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783639)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783639)Termination reason: Instruction limit
% 6.92/1.83 % (1783639)Termination phase: Saturation
% 6.92/1.83 % (1783639)Time elapsed: 0.092 s
% 6.92/1.83 % (1783639)Peak memory usage: 90 MB
% 6.92/1.83 % (1783639)Instructions burned: 139 (million)
% 6.92/1.83 % (1783648)lrs+10_1_sil=8000:sp=occurrence:random_seed=3675659265:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.92/1.83 % (1783648)Instruction limit reached!
% 6.92/1.83 % (1783648)------------------------------
% 6.92/1.83 % (1783648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783648)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783648)Termination reason: Instruction limit
% 6.92/1.83 % (1783648)Termination phase: Saturation
% 6.92/1.83 % (1783648)Time elapsed: 0.089 s
% 6.92/1.83 % (1783648)Peak memory usage: 93 MB
% 6.92/1.83 % (1783648)Instructions burned: 289 (million)
% 6.92/1.83 % (1783650)lrs+1011_1_sil=32000:sp=occurrence:random_seed=352925576:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.92/1.83 % (1783649)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3798874444:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.92/1.83 % (1783652)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=1383490702:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.92/1.83 % (1783653)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1127731434:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.92/1.83 % (1783649)Instruction limit reached!
% 6.92/1.83 % (1783649)------------------------------
% 6.92/1.83 % (1783649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783649)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783649)Termination reason: Instruction limit
% 6.92/1.83 % (1783649)Termination phase: Saturation
% 6.92/1.83 % (1783649)Time elapsed: 0.076 s
% 6.92/1.83 % (1783649)Peak memory usage: 91 MB
% 6.92/1.83 % (1783649)Instructions burned: 159 (million)
% 6.92/1.83 % (1783652)Instruction limit reached!
% 6.92/1.83 % (1783652)------------------------------
% 6.92/1.83 % (1783652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783652)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783652)Termination reason: Instruction limit
% 6.92/1.83 % (1783652)Termination phase: Saturation
% 6.92/1.83 % (1783652)Time elapsed: 0.119 s
% 6.92/1.83 % (1783652)Peak memory usage: 94 MB
% 6.92/1.83 % (1783652)Instructions burned: 249 (million)
% 6.92/1.83 % (1783653)Instruction limit reached!
% 6.92/1.83 % (1783653)------------------------------
% 6.92/1.83 % (1783653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783653)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783653)Termination reason: Instruction limit
% 6.92/1.83 % (1783653)Termination phase: Saturation
% 6.92/1.83 % (1783653)Time elapsed: 0.088 s
% 6.92/1.83 % (1783653)Peak memory usage: 89 MB
% 6.92/1.83 % (1783653)Instructions burned: 298 (million)
% 6.92/1.83 % (1783650)Instruction limit reached!
% 6.92/1.83 % (1783650)------------------------------
% 6.92/1.83 % (1783650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783650)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783650)Termination reason: Instruction limit
% 6.92/1.83 % (1783650)Termination phase: Saturation
% 6.92/1.83 % (1783650)Time elapsed: 0.206 s
% 6.92/1.83 % (1783650)Peak memory usage: 92 MB
% 6.92/1.83 % (1783650)Instructions burned: 325 (million)
% 6.92/1.83 % (1783658)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=507667677:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.92/1.83 % (1783660)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3189281014:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.92/1.83 % (1783659)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=786306514:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.92/1.83 % (1783660)Instruction limit reached!
% 6.92/1.83 % (1783660)------------------------------
% 6.92/1.83 % (1783660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783660)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783660)Termination reason: Instruction limit
% 6.92/1.83 % (1783660)Termination phase: Saturation
% 6.92/1.83 % (1783660)Time elapsed: 0.034 s
% 6.92/1.83 % (1783660)Peak memory usage: 90 MB
% 6.92/1.83 % (1783660)Instructions burned: 131 (million)
% 6.92/1.83 % (1783659)Instruction limit reached!
% 6.92/1.83 % (1783659)------------------------------
% 6.92/1.83 % (1783659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783659)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783659)Termination reason: Instruction limit
% 6.92/1.83 % (1783659)Termination phase: Saturation
% 6.92/1.83 % (1783659)Time elapsed: 0.072 s
% 6.92/1.83 % (1783659)Peak memory usage: 90 MB
% 6.92/1.83 % (1783659)Instructions burned: 113 (million)
% 6.92/1.83 % (1783661)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=807464495:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.92/1.83 % (1783665)lrs+10_1_sil=8000:sp=occurrence:random_seed=4224084718:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.92/1.83 % (1783661)Instruction limit reached!
% 6.92/1.83 % (1783661)------------------------------
% 6.92/1.83 % (1783661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783661)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783661)Termination reason: Instruction limit
% 6.92/1.83 % (1783661)Termination phase: Saturation
% 6.92/1.83 % (1783661)Time elapsed: 0.068 s
% 6.92/1.83 % (1783661)Peak memory usage: 89 MB
% 6.92/1.83 % (1783661)Instructions burned: 115 (million)
% 6.92/1.83 % (1783666)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=242750228:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.92/1.83 % (1783669)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1829183579:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.92/1.83 % (1783666)First to succeed.
% 6.92/1.83 % (1783634)Also succeeded, but the first one will report.
% 6.92/1.83 % (1783666)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1783629"
% 6.92/1.83 % (1783665)Instruction limit reached!
% 6.92/1.83 % (1783665)------------------------------
% 6.92/1.83 % (1783665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783665)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783665)Termination reason: Instruction limit
% 6.92/1.83 % (1783665)Termination phase: Saturation
% 6.92/1.83 % (1783665)Time elapsed: 0.261 s
% 6.92/1.83 % (1783665)Peak memory usage: 100 MB
% 6.92/1.83 % (1783665)Instructions burned: 910 (million)
% 6.92/1.83 % (1783672)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=971270905:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.92/1.83 % (1783672)Instruction limit reached!
% 6.92/1.83 % (1783672)------------------------------
% 6.92/1.83 % (1783672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.83 % (1783672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.83 % (1783672)CaDiCaL version: 2.1.3
% 6.92/1.83 % (1783672)Termination reason: Instruction limit
% 6.92/1.83 % (1783672)Termination phase: Saturation
% 6.92/1.83 % (1783672)Time elapsed: 0.034 s
% 6.92/1.83 % (1783672)Peak memory usage: 91 MB
% 6.92/1.83 % (1783672)Instructions burned: 136 (million)
% 6.92/1.83 % (1783666)Refutation found. Thanks to Tanya!
% 6.92/1.83 % SZS status Theorem for theBenchmark
% 6.92/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 8.78/2.03 % (1783666)------------------------------
% 8.78/2.03 % (1783666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.03 % (1783666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.03 % (1783666)CaDiCaL version: 2.1.3
% 8.78/2.03 % (1783666)Termination reason: Refutation
% 8.78/2.03 % (1783666)Time elapsed: 0.094 s
% 8.78/2.03 % (1783666)Peak memory usage: 91 MB
% 8.78/2.03 % (1783666)Instructions burned: 154 (million)
% 8.78/2.03 % (1783666)------------------------------
% 8.78/2.03 % (1783666)------------------------------
% 8.78/2.03 % (1783629)Success in time 1.169 s
% 8.78/2.03 % Vampire exiting
%------------------------------------------------------------------------------