%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC263+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:03:11 PM UTC 2026
% Result : Theorem 6.00s 1.68s
% Output : Refutation 7.73s
% 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/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(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
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| totalorderedP(X0) ) ) ) ),
file('/export/starexec/sandbox2/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)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| totalorderedP(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)
| ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ~ totalorderedP(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(f128,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(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,[],[f11]) ).
fof(f129,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(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,[],[f128]) ).
fof(f130,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)
| ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ~ totalorderedP(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(f139,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(f140,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,[],[f139]) ).
fof(f141,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))],[f140]) ).
fof(f144,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(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] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f145,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(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] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(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] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(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))],[f145]) ).
fof(f147,plain,
ssList(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f150,plain,
~ totalorderedP(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f151,plain,
! [X6,X7,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssItem(X7)
| leq(X7,X4)
| ~ memberP(X5,X7) ),
inference(cnf_transformation,[],[f130]) ).
fof(f153,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f130]) ).
fof(f166,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f171,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(f172,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f177,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f178,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f189,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,[],[f141]) ).
fof(f201,plain,
! [X0] :
( ssItem(sK10(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f202,plain,
! [X0] :
( ssItem(sK11(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f203,plain,
! [X0] :
( ssList(sK12(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f204,plain,
! [X0] :
( ssList(sK13(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f205,plain,
! [X0] :
( ssList(sK14(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f206,plain,
! [X0] :
( app(app(sK12(X0),cons(sK10(X0),sK13(X0))),cons(sK11(X0),sK14(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f207,plain,
! [X0] :
( ~ leq(sK10(X0),sK11(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f211,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,[],[f189]) ).
fof(f219,plain,
! [X6,X7,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK0
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(X7)
| leq(X7,X4)
| ~ memberP(X5,X7) ),
inference(forward_demodulation,[],[f151,f153]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X0,app(cons(X1,nil),X2))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X3)
| leq(X3,X1)
| ~ memberP(X0,X3)
| ~ ssList(X2)
| ~ ssList(cons(X1,nil))
| ~ ssList(X0) ),
inference(superposition,[],[f219,f171]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X0,app(cons(X1,nil),X2))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X3)
| leq(X3,X1)
| ~ memberP(X0,X3)
| ~ ssList(cons(X1,nil)) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X2,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| leq(X3,X0)
| ~ memberP(X2,X3)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(superposition,[],[f227,f172]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X2,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| leq(X3,X0)
| ~ memberP(X2,X3)
| ~ ssList(cons(X0,nil)) ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f444,plain,
! [X0,X1] :
( sK0 != X0
| ~ ssItem(sK11(X0))
| ~ ssList(app(sK12(X0),cons(sK10(X0),sK13(X0))))
| ~ ssList(sK14(X0))
| ~ ssItem(X1)
| leq(X1,sK11(X0))
| ~ memberP(app(sK12(X0),cons(sK10(X0),sK13(X0))),X1)
| ~ ssList(cons(sK11(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f274,f206]) ).
fof(f453,plain,
! [X0,X1] :
( sK0 != X0
| ~ ssList(app(sK12(X0),cons(sK10(X0),sK13(X0))))
| ~ ssList(sK14(X0))
| ~ ssItem(X1)
| leq(X1,sK11(X0))
| ~ memberP(app(sK12(X0),cons(sK10(X0),sK13(X0))),X1)
| ~ ssList(cons(sK11(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f444,f202]) ).
fof(f458,plain,
! [X0,X1] :
( sK0 != X0
| ~ ssList(app(sK12(X0),cons(sK10(X0),sK13(X0))))
| ~ ssItem(X1)
| leq(X1,sK11(X0))
| ~ memberP(app(sK12(X0),cons(sK10(X0),sK13(X0))),X1)
| ~ ssList(cons(sK11(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f453,f205]) ).
fof(f1422,definition,
( spl15_10
<=> ssList(cons(sK11(sK0),nil)) ),
introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).
fof(f1423,plain,
( ~ ssList(cons(sK11(sK0),nil))
| spl15_10 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1428,definition,
( spl15_12
<=> ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).
fof(f1429,plain,
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| spl15_12 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1431,plain,
( ~ ssItem(sK11(sK0))
| ~ ssList(nil)
| spl15_10 ),
inference(resolution,[],[f1423,f166]) ).
fof(f1432,plain,
( ~ ssItem(sK11(sK0))
| spl15_10 ),
inference(forward_subsumption_resolution,[],[f1431,f178]) ).
fof(f1433,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl15_10 ),
inference(resolution,[],[f1432,f202]) ).
fof(f1434,plain,
( ~ ssList(sK0)
| spl15_10 ),
inference(forward_subsumption_resolution,[],[f1433,f150]) ).
fof(f1435,plain,
( $false
| spl15_10 ),
inference(forward_subsumption_resolution,[],[f1434,f147]) ).
fof(f1436,plain,
spl15_10,
inference(avatar_contradiction_clause,[],[f1435]) ).
fof(f1449,plain,
( ~ ssList(cons(sK10(sK0),sK13(sK0)))
| ~ ssList(sK12(sK0))
| spl15_12 ),
inference(resolution,[],[f1429,f177]) ).
fof(f1451,definition,
( spl15_13
<=> ssList(sK12(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).
fof(f1452,plain,
( ~ ssList(sK12(sK0))
| spl15_13 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1454,definition,
( spl15_14
<=> ssList(cons(sK10(sK0),sK13(sK0))) ),
introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).
fof(f1455,plain,
( ~ ssList(cons(sK10(sK0),sK13(sK0)))
| spl15_14 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1456,plain,
( ~ spl15_13
| ~ spl15_14
| spl15_12 ),
inference(avatar_split_clause,[],[f1449,f1428,f1454,f1451]) ).
fof(f1475,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl15_13 ),
inference(resolution,[],[f1452,f203]) ).
fof(f1476,plain,
( ~ ssList(sK0)
| spl15_13 ),
inference(forward_subsumption_resolution,[],[f1475,f150]) ).
fof(f1477,plain,
( $false
| spl15_13 ),
inference(forward_subsumption_resolution,[],[f1476,f147]) ).
fof(f1478,plain,
spl15_13,
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1479,plain,
( ~ ssItem(sK10(sK0))
| ~ ssList(sK13(sK0))
| spl15_14 ),
inference(resolution,[],[f1455,f166]) ).
fof(f1481,definition,
( spl15_15
<=> ssList(sK13(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).
fof(f1482,plain,
( ~ ssList(sK13(sK0))
| spl15_15 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1484,definition,
( spl15_16
<=> ssItem(sK10(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).
fof(f1485,plain,
( ~ ssItem(sK10(sK0))
| spl15_16 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1486,plain,
( ~ spl15_15
| ~ spl15_16
| spl15_14 ),
inference(avatar_split_clause,[],[f1479,f1454,f1484,f1481]) ).
fof(f1487,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl15_15 ),
inference(resolution,[],[f1482,f204]) ).
fof(f1488,plain,
( ~ ssList(sK0)
| spl15_15 ),
inference(forward_subsumption_resolution,[],[f1487,f150]) ).
fof(f1489,plain,
( $false
| spl15_15 ),
inference(forward_subsumption_resolution,[],[f1488,f147]) ).
fof(f1490,plain,
spl15_15,
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1491,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl15_16 ),
inference(resolution,[],[f1485,f201]) ).
fof(f1492,plain,
( ~ ssList(sK0)
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f1491,f150]) ).
fof(f1493,plain,
( $false
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f1492,f147]) ).
fof(f1494,plain,
spl15_16,
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f2852,plain,
! [X0] :
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ ssItem(X0)
| leq(X0,sK11(sK0))
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssList(cons(sK11(sK0),nil))
| totalorderedP(sK0)
| ~ ssList(sK0) ),
inference(equality_resolution,[],[f458]) ).
fof(f2853,plain,
! [X0] :
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ ssItem(X0)
| leq(X0,sK11(sK0))
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssList(cons(sK11(sK0),nil))
| ~ ssList(sK0) ),
inference(forward_subsumption_resolution,[],[f2852,f150]) ).
fof(f2854,plain,
! [X0] :
( ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ ssItem(X0)
| leq(X0,sK11(sK0))
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssList(cons(sK11(sK0),nil)) ),
inference(forward_subsumption_resolution,[],[f2853,f147]) ).
fof(f2856,definition,
( spl15_134
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| leq(X0,sK11(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl15_134])],[avatar_definition]) ).
fof(f2857,plain,
( ! [X0] :
( ~ memberP(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))),X0)
| ~ ssItem(X0)
| leq(X0,sK11(sK0)) )
| ~ spl15_134 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f2858,plain,
( ~ spl15_10
| spl15_134
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f2854,f1428,f2856,f1422]) ).
fof(f2861,plain,
( ~ ssItem(sK10(sK0))
| leq(sK10(sK0),sK11(sK0))
| ~ ssList(sK12(sK0))
| ~ ssList(sK13(sK0))
| ~ ssItem(sK10(sK0))
| ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ spl15_134 ),
inference(resolution,[],[f2857,f211]) ).
fof(f2862,plain,
( ~ ssItem(sK10(sK0))
| leq(sK10(sK0),sK11(sK0))
| ~ ssList(sK12(sK0))
| ~ ssList(sK13(sK0))
| ~ ssList(app(sK12(sK0),cons(sK10(sK0),sK13(sK0))))
| ~ spl15_134 ),
inference(duplicate_literal_removal,[],[f2861]) ).
fof(f2866,definition,
( spl15_135
<=> leq(sK10(sK0),sK11(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_135])],[avatar_definition]) ).
fof(f2867,plain,
( leq(sK10(sK0),sK11(sK0))
| ~ spl15_135 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f2868,plain,
( ~ spl15_12
| ~ spl15_15
| ~ spl15_13
| spl15_135
| ~ spl15_16
| ~ spl15_134 ),
inference(avatar_split_clause,[],[f2862,f2856,f1484,f2866,f1451,f1481,f1428]) ).
fof(f2877,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| ~ spl15_135 ),
inference(resolution,[],[f2867,f207]) ).
fof(f2906,plain,
( ~ ssList(sK0)
| ~ spl15_135 ),
inference(forward_subsumption_resolution,[],[f2877,f150]) ).
fof(f2907,plain,
( $false
| ~ spl15_135 ),
inference(forward_subsumption_resolution,[],[f2906,f147]) ).
fof(f2908,plain,
~ spl15_135,
inference(avatar_contradiction_clause,[],[f2907]) ).
cnf(s11,plain,
spl15_10,
inference(sat_conversion,[],[f1436]) ).
cnf(s12,plain,
( spl15_12
| ~ spl15_13
| ~ spl15_14 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s13,plain,
spl15_13,
inference(sat_conversion,[],[f1478]) ).
cnf(s14,plain,
( spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s15,plain,
spl15_15,
inference(sat_conversion,[],[f1490]) ).
cnf(s16,plain,
spl15_16,
inference(sat_conversion,[],[f1494]) ).
cnf(s139,plain,
( ~ spl15_10
| ~ spl15_12
| spl15_134 ),
inference(sat_conversion,[],[f2858]) ).
cnf(s140,plain,
( ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_16
| ~ spl15_134
| spl15_135 ),
inference(sat_conversion,[],[f2868]) ).
cnf(s148,plain,
~ spl15_135,
inference(sat_conversion,[],[f2908]) ).
cnf(s149,plain,
( ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_16
| ~ spl15_134 ),
inference(rat,[],[s140,s148]) ).
cnf(s154,plain,
spl15_14,
inference(rat,[],[s14,s16,s15]) ).
cnf(s155,plain,
spl15_12,
inference(rat,[],[s12,s154,s13]) ).
cnf(s156,plain,
~ spl15_134,
inference(rat,[],[s149,s13,s16,s15,s155]) ).
cnf(s157,plain,
~ spl15_10,
inference(rat,[],[s139,s156,s155]) ).
cnf(s158,plain,
$false,
inference(rat,[],[s11,s157]) ).
fof(f2909,plain,
$false,
inference(avatar_sat_refutation,[],[s158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC263+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n014.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 08:45:46 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 6.00/1.68 % (1638701)Detected formulas, will run a generic FOF schedule.
% 6.00/1.68 % (1638708)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=335571590:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.00/1.68 % (1638709)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2597346960:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.00/1.68 % (1638711)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2610192732:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.00/1.68 % (1638710)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4268029547:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.00/1.68 % (1638707)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=3603952793:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.00/1.68 % (1638706)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=2070644692:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.00/1.68 % (1638712)dis-21_1_sil=8000:lcm=predicate:random_seed=3000727505: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)
% 6.00/1.68 % (1638709)Instruction limit reached!
% 6.00/1.68 % (1638709)------------------------------
% 6.00/1.68 % (1638709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638709)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638709)Termination reason: Instruction limit
% 6.00/1.68 % (1638709)Termination phase: Saturation
% 6.00/1.68 % (1638709)Time elapsed: 0.068 s
% 6.00/1.68 % (1638709)Peak memory usage: 89 MB
% 6.00/1.68 % (1638709)Instructions burned: 110 (million)
% 6.00/1.68 % (1638710)Instruction limit reached!
% 6.00/1.68 % (1638710)------------------------------
% 6.00/1.68 % (1638710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638710)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638710)Termination reason: Instruction limit
% 6.00/1.68 % (1638710)Termination phase: Saturation
% 6.00/1.68 % (1638710)Time elapsed: 0.069 s
% 6.00/1.68 % (1638710)Peak memory usage: 88 MB
% 6.00/1.68 % (1638710)Instructions burned: 119 (million)
% 6.00/1.68 % (1638712)Instruction limit reached!
% 6.00/1.68 % (1638712)------------------------------
% 6.00/1.68 % (1638712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638712)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638712)Termination reason: Instruction limit
% 6.00/1.68 % (1638712)Termination phase: Saturation
% 6.00/1.68 % (1638712)Time elapsed: 0.068 s
% 6.00/1.68 % (1638712)Peak memory usage: 91 MB
% 6.00/1.68 % (1638712)Instructions burned: 129 (million)
% 6.00/1.68 % (1638711)Instruction limit reached!
% 6.00/1.68 % (1638711)------------------------------
% 6.00/1.68 % (1638711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638711)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638711)Termination reason: Instruction limit
% 6.00/1.68 % (1638711)Termination phase: Saturation
% 6.00/1.68 % (1638711)Time elapsed: 0.094 s
% 6.00/1.68 % (1638711)Peak memory usage: 90 MB
% 6.00/1.68 % (1638711)Instructions burned: 140 (million)
% 6.00/1.68 % (1638720)lrs+10_1_sil=8000:sp=occurrence:random_seed=3766947654:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.00/1.68 % (1638721)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2081241512:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.00/1.68 % (1638722)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3172319738:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.00/1.68 % (1638723)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=4198470600:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.00/1.68 % (1638721)Instruction limit reached!
% 6.00/1.68 % (1638721)------------------------------
% 6.00/1.68 % (1638721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638721)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638721)Termination reason: Instruction limit
% 6.00/1.68 % (1638721)Termination phase: Saturation
% 6.00/1.68 % (1638721)Time elapsed: 0.076 s
% 6.00/1.68 % (1638721)Peak memory usage: 91 MB
% 6.00/1.68 % (1638721)Instructions burned: 158 (million)
% 6.00/1.68 % (1638723)Instruction limit reached!
% 6.00/1.68 % (1638723)------------------------------
% 6.00/1.68 % (1638723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638723)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638723)Termination reason: Instruction limit
% 6.00/1.68 % (1638723)Termination phase: Saturation
% 6.00/1.68 % (1638723)Time elapsed: 0.118 s
% 6.00/1.68 % (1638723)Peak memory usage: 94 MB
% 6.00/1.68 % (1638723)Instructions burned: 249 (million)
% 6.00/1.68 % (1638720)Instruction limit reached!
% 6.00/1.68 % (1638720)------------------------------
% 6.00/1.68 % (1638720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638720)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638720)Termination reason: Instruction limit
% 6.00/1.68 % (1638720)Termination phase: Saturation
% 6.00/1.68 % (1638720)Time elapsed: 0.163 s
% 6.00/1.68 % (1638720)Peak memory usage: 93 MB
% 6.00/1.68 % (1638720)Instructions burned: 285 (million)
% 6.00/1.68 % (1638728)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1345665686:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.00/1.68 % (1638722)Instruction limit reached!
% 6.00/1.68 % (1638722)------------------------------
% 6.00/1.68 % (1638722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638722)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638722)Termination reason: Instruction limit
% 6.00/1.68 % (1638722)Termination phase: Saturation
% 6.00/1.68 % (1638722)Time elapsed: 0.204 s
% 6.00/1.68 % (1638722)Peak memory usage: 92 MB
% 6.00/1.68 % (1638722)Instructions burned: 326 (million)
% 6.00/1.68 % (1638728)Instruction limit reached!
% 6.00/1.68 % (1638728)------------------------------
% 6.00/1.68 % (1638728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638728)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638728)Termination reason: Instruction limit
% 6.00/1.68 % (1638728)Termination phase: Saturation
% 6.00/1.68 % (1638728)Time elapsed: 0.088 s
% 6.00/1.68 % (1638728)Peak memory usage: 89 MB
% 6.00/1.68 % (1638728)Instructions burned: 297 (million)
% 6.00/1.68 % (1638729)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1740659353:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.00/1.68 % (1638731)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=62229550:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.00/1.68 % (1638733)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4051243083:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.00/1.68 % (1638732)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=816139792:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.00/1.68 % (1638731)Instruction limit reached!
% 6.00/1.68 % (1638731)------------------------------
% 6.00/1.68 % (1638731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638731)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638731)Termination reason: Instruction limit
% 6.00/1.68 % (1638731)Termination phase: Saturation
% 6.00/1.68 % (1638731)Time elapsed: 0.073 s
% 6.00/1.68 % (1638731)Peak memory usage: 90 MB
% 6.00/1.68 % (1638731)Instructions burned: 113 (million)
% 6.00/1.68 % (1638733)Instruction limit reached!
% 6.00/1.68 % (1638733)------------------------------
% 6.00/1.68 % (1638733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638733)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638733)Termination reason: Instruction limit
% 6.00/1.68 % (1638733)Termination phase: Saturation
% 6.00/1.68 % (1638733)Time elapsed: 0.036 s
% 6.00/1.68 % (1638733)Peak memory usage: 89 MB
% 6.00/1.68 % (1638733)Instructions burned: 117 (million)
% 6.00/1.68 % (1638732)Instruction limit reached!
% 6.00/1.68 % (1638732)------------------------------
% 6.00/1.68 % (1638732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.68 % (1638732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.68 % (1638732)CaDiCaL version: 2.1.3
% 6.00/1.68 % (1638732)Termination reason: Instruction limit
% 6.00/1.68 % (1638732)Termination phase: Saturation
% 6.00/1.68 % (1638732)Time elapsed: 0.064 s
% 6.00/1.68 % (1638732)Peak memory usage: 90 MB
% 6.00/1.68 % (1638732)Instructions burned: 127 (million)
% 6.00/1.68 % (1638739)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1877038273:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.00/1.68 % (1638738)lrs+10_1_sil=8000:sp=occurrence:random_seed=2873037736:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.00/1.68 % (1638739)First to succeed.
% 6.00/1.68 % (1638739)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1638701"
% 6.00/1.68 % (1638740)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1520981350:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.00/1.68 % (1638706)Also succeeded, but the first one will report.
% 6.00/1.68 % (1638739)Refutation found. Thanks to Tanya!
% 6.00/1.68 % SZS status Theorem for theBenchmark
% 6.00/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 7.73/1.87 % (1638739)------------------------------
% 7.73/1.87 % (1638739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.87 % (1638739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.87 % (1638739)CaDiCaL version: 2.1.3
% 7.73/1.87 % (1638739)Termination reason: Refutation
% 7.73/1.87 % (1638739)Time elapsed: 0.050 s
% 7.73/1.87 % (1638739)Peak memory usage: 91 MB
% 7.73/1.87 % (1638739)Instructions burned: 162 (million)
% 7.73/1.87 % (1638739)------------------------------
% 7.73/1.87 % (1638739)------------------------------
% 7.73/1.87 % (1638701)Success in time 1.014 s
% 7.73/1.87 % Vampire exiting
%------------------------------------------------------------------------------