%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC306+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 : n012.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 01:03:23 PM UTC 2026
% Result : Theorem 5.18s 1.37s
% Output : Refutation 6.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 21
% Syntax : Number of formulae : 156 ( 28 unt; 12 def)
% Number of atoms : 592 ( 64 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 748 ( 312 ~; 313 |; 71 &)
% ( 18 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 108 !; 28 ?)
% 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(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(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ lt(X5,X4) ) ) ) ) ) )
| ( ! [X9] :
( ssItem(X9)
=> ( cons(X9,nil) != X2
| ~ memberP(X3,X9) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ lt(X5,X4) ) ) ) ) ) )
| ( ! [X9] :
( ssItem(X9)
=> ( cons(X9,nil) != X2
| ~ memberP(X3,X9) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& lt(X5,X4)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X9] :
( cons(X9,nil) = X2
& memberP(X3,X9)
& ssItem(X9) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& lt(X5,X4)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X9] :
( cons(X9,nil) = X2
& memberP(X3,X9)
& ssItem(X9) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f118,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f121,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(f127,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f137,plain,
( sK1 = sK3
& sK0 = sK2
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
& lt(sK5,sK4)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& ( ( sK2 = cons(sK9,nil)
& memberP(sK3,sK9)
& ssItem(sK9) )
| ( nil = sK3
& nil = sK2 ) )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9)],[f99]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,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,[],[f121]) ).
fof(f147,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,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK14(X0,X1))
& ssList(sK15(X0,X1))
& app(sK14(X0,X1),cons(X1,sK15(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X4,sK14(X0,X1)),skolemize(X5,sK15(X0,X1))],[f147]) ).
fof(f155,plain,
( ssItem(sK9)
| nil = sK2 ),
inference(cnf_transformation,[],[f137]) ).
fof(f159,plain,
( sK2 = cons(sK9,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f137]) ).
fof(f161,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f137]) ).
fof(f162,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f137]) ).
fof(f163,plain,
ssList(sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f164,plain,
ssList(sK7),
inference(cnf_transformation,[],[f137]) ).
fof(f165,plain,
ssList(sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f166,plain,
lt(sK5,sK4),
inference(cnf_transformation,[],[f137]) ).
fof(f167,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f168,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f137]) ).
fof(f180,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f191,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f192,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f193,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f199,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f203,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,[],[f148]) ).
fof(f209,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f215,plain,
sK2 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(definition_unfolding,[],[f167,f168]) ).
fof(f221,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,[],[f203]) ).
fof(f227,definition,
( spl16_1
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f228,plain,
( nil = sK2
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,definition,
( spl16_2
<=> ssItem(sK9) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f231,plain,
( ssItem(sK9)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f155,f230,f227]) ).
fof(f243,definition,
( spl16_5
<=> sK2 = cons(sK9,nil) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f244,plain,
( sK2 = cons(sK9,nil)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( spl16_1
| spl16_5 ),
inference(avatar_split_clause,[],[f159,f243,f227]) ).
fof(f249,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssList(nil)
| ~ ssItem(sK9)
| ~ ssItem(X0) )
| ~ spl16_5 ),
inference(superposition,[],[f194,f244]) ).
fof(f250,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssItem(sK9)
| ~ ssItem(X0) )
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f249,f192]) ).
fof(f251,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssItem(X0) )
| ~ spl16_2
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f250,f231]) ).
fof(f252,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK9 = X0
| ~ ssItem(X0) )
| ~ spl16_2
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f251,f193]) ).
fof(f262,definition,
( spl16_6
<=> ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil))) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f263,plain,
( ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| spl16_6 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f268,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl16_6 ),
inference(resolution,[],[f263,f191]) ).
fof(f270,definition,
( spl16_8
<=> ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f271,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl16_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,definition,
( spl16_9
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f274,plain,
( ~ ssList(cons(sK5,nil))
| spl16_9 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( ~ spl16_8
| ~ spl16_9
| spl16_6 ),
inference(avatar_split_clause,[],[f268,f262,f273,f270]) ).
fof(f276,plain,
( ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl16_8 ),
inference(resolution,[],[f271,f191]) ).
fof(f277,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f276,f164]) ).
fof(f278,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl16_8 ),
inference(resolution,[],[f277,f191]) ).
fof(f279,plain,
( ~ ssList(cons(sK4,nil))
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f278,f163]) ).
fof(f281,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl16_8 ),
inference(resolution,[],[f279,f180]) ).
fof(f283,plain,
( ~ ssList(nil)
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f281,f161]) ).
fof(f284,plain,
( $false
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f283,f192]) ).
fof(f285,plain,
spl16_8,
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f287,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl16_9 ),
inference(resolution,[],[f274,f180]) ).
fof(f289,plain,
( ~ ssList(nil)
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f287,f162]) ).
fof(f290,plain,
( $false
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f289,f192]) ).
fof(f291,plain,
spl16_9,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f292,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0)
| ~ ssList(sK8)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f199,f215]) ).
fof(f293,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f292,f165]) ).
fof(f295,definition,
( spl16_10
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f296,plain,
( ! [X0] :
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( ~ spl16_6
| spl16_10 ),
inference(avatar_split_clause,[],[f293,f295,f262]) ).
fof(f298,plain,
( ~ ssItem(sK5)
| memberP(sK2,sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ spl16_10 ),
inference(resolution,[],[f296,f221]) ).
fof(f299,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssItem(X0) )
| ~ spl16_10 ),
inference(resolution,[],[f296,f199]) ).
fof(f302,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7)) )
| ~ spl16_10 ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f303,plain,
( ~ ssItem(sK5)
| memberP(sK2,sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(nil)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ spl16_10 ),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f309,definition,
( spl16_12
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| memberP(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f310,plain,
( ! [X0] :
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( ~ spl16_8
| ~ spl16_9
| spl16_12
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f302,f295,f309,f273,f270]) ).
fof(f312,plain,
( memberP(sK2,sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(nil)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ spl16_10 ),
inference(forward_subsumption_resolution,[],[f303,f162]) ).
fof(f313,plain,
( memberP(sK2,sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ spl16_10 ),
inference(forward_subsumption_resolution,[],[f312,f192]) ).
fof(f315,definition,
( spl16_13
<=> memberP(sK2,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f316,plain,
( memberP(sK2,sK5)
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( ~ spl16_6
| ~ spl16_8
| spl16_13
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f313,f295,f315,f270,f262]) ).
fof(f318,plain,
( sK5 = sK9
| ~ ssItem(sK5)
| ~ spl16_2
| ~ spl16_5
| ~ spl16_13 ),
inference(resolution,[],[f316,f252]) ).
fof(f319,plain,
( sK5 = sK9
| ~ spl16_2
| ~ spl16_5
| ~ spl16_13 ),
inference(forward_subsumption_resolution,[],[f318,f162]) ).
fof(f322,plain,
( lt(sK9,sK4)
| ~ spl16_2
| ~ spl16_5
| ~ spl16_13 ),
inference(superposition,[],[f166,f319]) ).
fof(f327,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(X0) )
| ~ spl16_12 ),
inference(resolution,[],[f310,f199]) ).
fof(f330,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_12 ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f332,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_12 ),
inference(forward_subsumption_resolution,[],[f330,f164]) ).
fof(f334,definition,
( spl16_14
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f335,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl16_14 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f341,definition,
( spl16_16
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| memberP(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f342,plain,
( ! [X0] :
( ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f343,plain,
( ~ spl16_14
| spl16_16
| ~ spl16_12 ),
inference(avatar_split_clause,[],[f332,f309,f341,f334]) ).
fof(f344,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl16_14 ),
inference(resolution,[],[f335,f191]) ).
fof(f345,plain,
( ~ ssList(cons(sK4,nil))
| spl16_14 ),
inference(forward_subsumption_resolution,[],[f344,f163]) ).
fof(f347,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl16_14 ),
inference(resolution,[],[f345,f180]) ).
fof(f349,plain,
( ~ ssList(nil)
| spl16_14 ),
inference(forward_subsumption_resolution,[],[f347,f161]) ).
fof(f350,plain,
( $false
| spl16_14 ),
inference(forward_subsumption_resolution,[],[f349,f192]) ).
fof(f351,plain,
spl16_14,
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f352,plain,
( ~ ssItem(sK4)
| memberP(sK2,sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_16 ),
inference(resolution,[],[f342,f221]) ).
fof(f357,plain,
( ~ ssItem(sK4)
| memberP(sK2,sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_16 ),
inference(duplicate_literal_removal,[],[f352]) ).
fof(f360,plain,
( memberP(sK2,sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_16 ),
inference(forward_subsumption_resolution,[],[f357,f161]) ).
fof(f372,plain,
( memberP(sK2,sK4)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_16 ),
inference(forward_subsumption_resolution,[],[f360,f163]) ).
fof(f373,plain,
( memberP(sK2,sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_16 ),
inference(forward_subsumption_resolution,[],[f372,f192]) ).
fof(f375,definition,
( spl16_20
<=> memberP(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).
fof(f376,plain,
( memberP(sK2,sK4)
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( ~ spl16_14
| spl16_20
| ~ spl16_16 ),
inference(avatar_split_clause,[],[f373,f341,f375,f334]) ).
fof(f378,plain,
( sK4 = sK9
| ~ ssItem(sK4)
| ~ spl16_2
| ~ spl16_5
| ~ spl16_20 ),
inference(resolution,[],[f376,f252]) ).
fof(f379,plain,
( sK4 = sK9
| ~ spl16_2
| ~ spl16_5
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f378,f161]) ).
fof(f385,plain,
( lt(sK9,sK9)
| ~ spl16_2
| ~ spl16_5
| ~ spl16_13
| ~ spl16_20 ),
inference(superposition,[],[f322,f379]) ).
fof(f532,plain,
( ~ ssItem(sK9)
| ~ spl16_2
| ~ spl16_5
| ~ spl16_13
| ~ spl16_20 ),
inference(resolution,[],[f209,f385]) ).
fof(f534,plain,
( $false
| ~ spl16_2
| ~ spl16_5
| ~ spl16_13
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f532,f231]) ).
fof(f535,plain,
( ~ spl16_2
| ~ spl16_5
| ~ spl16_13
| ~ spl16_20 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f539,plain,
( memberP(nil,sK4)
| ~ spl16_1
| ~ spl16_20 ),
inference(superposition,[],[f376,f228]) ).
fof(f549,plain,
( ~ ssItem(sK4)
| ~ spl16_1
| ~ spl16_20 ),
inference(resolution,[],[f539,f193]) ).
fof(f551,plain,
( $false
| ~ spl16_1
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f549,f161]) ).
fof(f552,plain,
( ~ spl16_1
| ~ spl16_20 ),
inference(avatar_contradiction_clause,[],[f551]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f232]) ).
cnf(s5,plain,
( spl16_1
| spl16_5 ),
inference(sat_conversion,[],[f245]) ).
cnf(s8,plain,
( spl16_6
| ~ spl16_8
| ~ spl16_9 ),
inference(sat_conversion,[],[f275]) ).
cnf(s10,plain,
spl16_8,
inference(sat_conversion,[],[f285]) ).
cnf(s12,plain,
spl16_9,
inference(sat_conversion,[],[f291]) ).
cnf(s13,plain,
( ~ spl16_6
| spl16_10 ),
inference(sat_conversion,[],[f297]) ).
cnf(s15,plain,
( ~ spl16_8
| ~ spl16_9
| ~ spl16_10
| spl16_12 ),
inference(sat_conversion,[],[f311]) ).
cnf(s16,plain,
( ~ spl16_6
| ~ spl16_8
| ~ spl16_10
| spl16_13 ),
inference(sat_conversion,[],[f317]) ).
cnf(s18,plain,
( ~ spl16_12
| ~ spl16_14
| spl16_16 ),
inference(sat_conversion,[],[f343]) ).
cnf(s20,plain,
spl16_14,
inference(sat_conversion,[],[f351]) ).
cnf(s23,plain,
( ~ spl16_14
| ~ spl16_16
| spl16_20 ),
inference(sat_conversion,[],[f377]) ).
cnf(s28,plain,
( ~ spl16_2
| ~ spl16_5
| ~ spl16_13
| ~ spl16_20 ),
inference(sat_conversion,[],[f535]) ).
cnf(s32,plain,
( ~ spl16_1
| ~ spl16_20 ),
inference(sat_conversion,[],[f552]) ).
cnf(s35,plain,
( ~ spl16_12
| spl16_16 ),
inference(rat,[],[s18,s20]) ).
cnf(s37,plain,
spl16_6,
inference(rat,[],[s8,s12,s10]) ).
cnf(s38,plain,
spl16_10,
inference(rat,[],[s13,s37]) ).
cnf(s39,plain,
spl16_12,
inference(rat,[],[s15,s10,s12,s38]) ).
cnf(s41,plain,
spl16_13,
inference(rat,[],[s16,s37,s10,s38]) ).
cnf(s42,plain,
spl16_16,
inference(rat,[],[s35,s39]) ).
cnf(s44,plain,
spl16_20,
inference(rat,[],[s23,s20,s42]) ).
cnf(s47,plain,
~ spl16_1,
inference(rat,[],[s32,s44]) ).
cnf(s49,plain,
spl16_5,
inference(rat,[],[s5,s47]) ).
cnf(s50,plain,
~ spl16_2,
inference(rat,[],[s28,s44,s41,s49]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s1,s50,s47]) ).
fof(f553,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC306+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 08:59:19 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.18/1.37 % (3246145)Detected formulas, will run a generic FOF schedule.
% 5.18/1.37 % (3246169)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=461697849:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.18/1.37 % (3246174)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3677762270:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.18/1.37 % (3246172)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=823915584:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.18/1.37 % (3246168)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=2518796935:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.18/1.37 % (3246170)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=2013219697:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.18/1.37 % (3246173)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2984506109:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.18/1.37 % (3246175)dis-21_1_sil=8000:lcm=predicate:random_seed=3474443614:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.18/1.37 % (3246172)Instruction limit reached!
% 5.18/1.37 % (3246172)------------------------------
% 5.18/1.37 % (3246172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246172)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246172)Termination reason: Instruction limit
% 5.18/1.37 % (3246172)Termination phase: Saturation
% 5.18/1.37 % (3246172)Time elapsed: 0.061 s
% 5.18/1.37 % (3246172)Peak memory usage: 89 MB
% 5.18/1.37 % (3246172)Instructions burned: 109 (million)
% 5.18/1.37 % (3246174)Instruction limit reached!
% 5.18/1.37 % (3246174)------------------------------
% 5.18/1.37 % (3246174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246174)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246174)Termination reason: Instruction limit
% 5.18/1.37 % (3246174)Termination phase: Saturation
% 5.18/1.37 % (3246174)Time elapsed: 0.081 s
% 5.18/1.37 % (3246174)Peak memory usage: 90 MB
% 5.18/1.37 % (3246174)Instructions burned: 140 (million)
% 5.18/1.37 % (3246173)Instruction limit reached!
% 5.18/1.37 % (3246173)------------------------------
% 5.18/1.37 % (3246173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246173)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246173)Termination reason: Instruction limit
% 5.18/1.37 % (3246173)Termination phase: Saturation
% 5.18/1.37 % (3246173)Time elapsed: 0.059 s
% 5.18/1.37 % (3246173)Peak memory usage: 88 MB
% 5.18/1.37 % (3246173)Instructions burned: 119 (million)
% 5.18/1.37 % (3246175)Instruction limit reached!
% 5.18/1.37 % (3246175)------------------------------
% 5.18/1.37 % (3246175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246175)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246175)Termination reason: Instruction limit
% 5.18/1.37 % (3246175)Termination phase: Saturation
% 5.18/1.37 % (3246175)Time elapsed: 0.066 s
% 5.18/1.37 % (3246175)Peak memory usage: 90 MB
% 5.18/1.37 % (3246175)Instructions burned: 131 (million)
% 5.18/1.37 % (3246186)lrs+10_1_sil=8000:sp=occurrence:random_seed=493276825:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.18/1.37 % (3246187)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1309734053:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.18/1.37 % (3246190)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3611322256:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.18/1.37 % (3246187)Instruction limit reached!
% 5.18/1.37 % (3246187)------------------------------
% 5.18/1.37 % (3246187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246187)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246187)Termination reason: Instruction limit
% 5.18/1.37 % (3246187)Termination phase: Saturation
% 5.18/1.37 % (3246187)Time elapsed: 0.058 s
% 5.18/1.37 % (3246187)Peak memory usage: 94 MB
% 5.18/1.37 % (3246187)Instructions burned: 159 (million)
% 5.18/1.37 % (3246193)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=3072324429:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.18/1.37 % (3246186)Instruction limit reached!
% 5.18/1.37 % (3246186)------------------------------
% 5.18/1.37 % (3246186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246186)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246186)Termination reason: Instruction limit
% 5.18/1.37 % (3246186)Termination phase: Saturation
% 5.18/1.37 % (3246186)Time elapsed: 0.149 s
% 5.18/1.37 % (3246186)Peak memory usage: 92 MB
% 5.18/1.37 % (3246186)Instructions burned: 286 (million)
% 5.18/1.37 % (3246193)Instruction limit reached!
% 5.18/1.37 % (3246193)------------------------------
% 5.18/1.37 % (3246193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246193)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246193)Termination reason: Instruction limit
% 5.18/1.37 % (3246193)Termination phase: Saturation
% 5.18/1.37 % (3246193)Time elapsed: 0.112 s
% 5.18/1.37 % (3246193)Peak memory usage: 94 MB
% 5.18/1.37 % (3246193)Instructions burned: 250 (million)
% 5.18/1.37 % (3246190)Instruction limit reached!
% 5.18/1.37 % (3246190)------------------------------
% 5.18/1.37 % (3246190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.37 % (3246190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.37 % (3246190)CaDiCaL version: 2.1.3
% 5.18/1.37 % (3246190)Termination reason: Instruction limit
% 5.18/1.37 % (3246190)Termination phase: Saturation
% 5.18/1.37 % (3246190)Time elapsed: 0.170 s
% 5.18/1.37 % (3246190)Peak memory usage: 92 MB
% 5.18/1.37 % (3246190)Instructions burned: 327 (million)
% 5.18/1.37 % (3246169)First to succeed.
% 5.18/1.37 % (3246169)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3246145"
% 5.18/1.37 % (3246200)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2542767907:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.18/1.37 % (3246168)Also succeeded, but the first one will report.
% 5.18/1.37 % (3246203)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3140972479:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.18/1.37 % (3246204)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2506237593:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.18/1.37 % (3246169)Refutation found. Thanks to Tanya!
% 5.18/1.37 % SZS status Theorem for theBenchmark
% 5.18/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 6.61/1.57 % (3246169)------------------------------
% 6.61/1.57 % (3246169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.57 % (3246169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.57 % (3246169)CaDiCaL version: 2.1.3
% 6.61/1.57 % (3246169)Termination reason: Refutation
% 6.61/1.57 % (3246169)Time elapsed: 0.540 s
% 6.61/1.57 % (3246169)Peak memory usage: 130 MB
% 6.61/1.57 % (3246169)Instructions burned: 1010 (million)
% 6.61/1.57 % (3246169)------------------------------
% 6.61/1.57 % (3246169)------------------------------
% 6.61/1.57 % (3246145)Success in time 0.884 s
% 6.61/1.57 % Vampire exiting
%------------------------------------------------------------------------------