%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC298+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 01:03:21 PM UTC 2026
% Result : Theorem 4.16s 1.31s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 21
% Syntax : Number of formulae : 156 ( 28 unt; 12 def)
% Number of atoms : 612 ( 69 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 779 ( 323 ~; 324 |; 80 &)
% ( 18 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 111 !; 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(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)
| ? [X10] :
( ssItem(X10)
& X9 != X10
& memberP(X3,X10)
& leq(X10,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)
| ? [X10] :
( ssItem(X10)
& X9 != X10
& memberP(X3,X10)
& leq(X10,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)
& ! [X10] :
( ~ ssItem(X10)
| X9 = X10
| ~ memberP(X3,X10)
| ~ leq(X10,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)
& ! [X10] :
( ~ ssItem(X10)
| X9 = X10
| ~ memberP(X3,X10)
| ~ leq(X10,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(f132,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)
& ! [X10] :
( ~ ssItem(X10)
| sK9 = X10
| ~ memberP(sK3,X10)
| ~ leq(X10,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(f161,plain,
( sK2 = cons(sK9,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f137]) ).
fof(f163,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f137]) ).
fof(f164,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f137]) ).
fof(f165,plain,
ssList(sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f166,plain,
ssList(sK7),
inference(cnf_transformation,[],[f137]) ).
fof(f167,plain,
ssList(sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f168,plain,
lt(sK5,sK4),
inference(cnf_transformation,[],[f137]) ).
fof(f169,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f170,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f137]) ).
fof(f182,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f193,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f194,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f195,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f196,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(f201,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f205,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(f214,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f217,plain,
sK2 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(definition_unfolding,[],[f169,f170]) ).
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,[],[f205]) ).
fof(f229,definition,
( spl16_1
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f230,plain,
( nil = sK2
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,definition,
( spl16_2
<=> ssItem(sK9) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f233,plain,
( ssItem(sK9)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f155,f232,f229]) ).
fof(f250,definition,
( spl16_6
<=> sK2 = cons(sK9,nil) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f251,plain,
( sK2 = cons(sK9,nil)
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f252,plain,
( spl16_1
| spl16_6 ),
inference(avatar_split_clause,[],[f161,f250,f229]) ).
fof(f256,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssList(nil)
| ~ ssItem(sK9)
| ~ ssItem(X0) )
| ~ spl16_6 ),
inference(superposition,[],[f196,f251]) ).
fof(f257,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssItem(sK9)
| ~ ssItem(X0) )
| ~ spl16_6 ),
inference(forward_subsumption_resolution,[],[f256,f194]) ).
fof(f258,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssItem(X0) )
| ~ spl16_2
| ~ spl16_6 ),
inference(forward_subsumption_resolution,[],[f257,f233]) ).
fof(f259,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK9 = X0
| ~ ssItem(X0) )
| ~ spl16_2
| ~ spl16_6 ),
inference(forward_subsumption_resolution,[],[f258,f195]) ).
fof(f269,definition,
( spl16_7
<=> ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil))) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f270,plain,
( ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| spl16_7 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f275,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl16_7 ),
inference(resolution,[],[f270,f193]) ).
fof(f277,definition,
( spl16_9
<=> ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f278,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl16_9 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,definition,
( spl16_10
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f281,plain,
( ~ ssList(cons(sK5,nil))
| spl16_10 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
( ~ spl16_9
| ~ spl16_10
| spl16_7 ),
inference(avatar_split_clause,[],[f275,f269,f280,f277]) ).
fof(f283,plain,
( ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl16_9 ),
inference(resolution,[],[f278,f193]) ).
fof(f284,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f283,f166]) ).
fof(f285,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl16_9 ),
inference(resolution,[],[f284,f193]) ).
fof(f286,plain,
( ~ ssList(cons(sK4,nil))
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f285,f165]) ).
fof(f288,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl16_9 ),
inference(resolution,[],[f286,f182]) ).
fof(f290,plain,
( ~ ssList(nil)
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f288,f163]) ).
fof(f291,plain,
( $false
| spl16_9 ),
inference(forward_subsumption_resolution,[],[f290,f194]) ).
fof(f292,plain,
spl16_9,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f294,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl16_10 ),
inference(resolution,[],[f281,f182]) ).
fof(f296,plain,
( ~ ssList(nil)
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f294,f164]) ).
fof(f297,plain,
( $false
| spl16_10 ),
inference(forward_subsumption_resolution,[],[f296,f194]) ).
fof(f298,plain,
spl16_10,
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f299,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,[],[f201,f217]) ).
fof(f300,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,[],[f299,f167]) ).
fof(f302,definition,
( spl16_11
<=> ! [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_11])],[avatar_definition]) ).
fof(f303,plain,
( ! [X0] :
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( ~ spl16_7
| spl16_11 ),
inference(avatar_split_clause,[],[f300,f302,f269]) ).
fof(f305,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_11 ),
inference(resolution,[],[f303,f223]) ).
fof(f306,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_11 ),
inference(resolution,[],[f303,f201]) ).
fof(f309,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_11 ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f310,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_11 ),
inference(duplicate_literal_removal,[],[f305]) ).
fof(f316,definition,
( spl16_13
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| memberP(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f317,plain,
( ! [X0] :
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f318,plain,
( ~ spl16_9
| ~ spl16_10
| spl16_13
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f309,f302,f316,f280,f277]) ).
fof(f319,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_11 ),
inference(forward_subsumption_resolution,[],[f310,f164]) ).
fof(f320,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_11 ),
inference(forward_subsumption_resolution,[],[f319,f194]) ).
fof(f322,definition,
( spl16_14
<=> memberP(sK2,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f323,plain,
( memberP(sK2,sK5)
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( ~ spl16_7
| ~ spl16_9
| spl16_14
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f320,f302,f322,f277,f269]) ).
fof(f325,plain,
( sK5 = sK9
| ~ ssItem(sK5)
| ~ spl16_2
| ~ spl16_6
| ~ spl16_14 ),
inference(resolution,[],[f323,f259]) ).
fof(f326,plain,
( sK5 = sK9
| ~ spl16_2
| ~ spl16_6
| ~ spl16_14 ),
inference(forward_subsumption_resolution,[],[f325,f164]) ).
fof(f329,plain,
( lt(sK9,sK4)
| ~ spl16_2
| ~ spl16_6
| ~ spl16_14 ),
inference(superposition,[],[f168,f326]) ).
fof(f334,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_13 ),
inference(resolution,[],[f317,f201]) ).
fof(f337,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_13 ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f339,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_13 ),
inference(forward_subsumption_resolution,[],[f337,f166]) ).
fof(f341,definition,
( spl16_15
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f342,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl16_15 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f348,definition,
( spl16_17
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| memberP(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f349,plain,
( ! [X0] :
( ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( ~ spl16_15
| spl16_17
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f339,f316,f348,f341]) ).
fof(f351,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl16_15 ),
inference(resolution,[],[f342,f193]) ).
fof(f352,plain,
( ~ ssList(cons(sK4,nil))
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f351,f165]) ).
fof(f354,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl16_15 ),
inference(resolution,[],[f352,f182]) ).
fof(f356,plain,
( ~ ssList(nil)
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f354,f163]) ).
fof(f357,plain,
( $false
| spl16_15 ),
inference(forward_subsumption_resolution,[],[f356,f194]) ).
fof(f358,plain,
spl16_15,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f359,plain,
( ~ ssItem(sK4)
| memberP(sK2,sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_17 ),
inference(resolution,[],[f349,f223]) ).
fof(f364,plain,
( ~ ssItem(sK4)
| memberP(sK2,sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_17 ),
inference(duplicate_literal_removal,[],[f359]) ).
fof(f367,plain,
( memberP(sK2,sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_17 ),
inference(forward_subsumption_resolution,[],[f364,f163]) ).
fof(f379,plain,
( memberP(sK2,sK4)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_17 ),
inference(forward_subsumption_resolution,[],[f367,f165]) ).
fof(f380,plain,
( memberP(sK2,sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_17 ),
inference(forward_subsumption_resolution,[],[f379,f194]) ).
fof(f382,definition,
( spl16_21
<=> memberP(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).
fof(f383,plain,
( memberP(sK2,sK4)
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ spl16_15
| spl16_21
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f380,f348,f382,f341]) ).
fof(f385,plain,
( sK4 = sK9
| ~ ssItem(sK4)
| ~ spl16_2
| ~ spl16_6
| ~ spl16_21 ),
inference(resolution,[],[f383,f259]) ).
fof(f386,plain,
( sK4 = sK9
| ~ spl16_2
| ~ spl16_6
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f385,f163]) ).
fof(f392,plain,
( lt(sK9,sK9)
| ~ spl16_2
| ~ spl16_6
| ~ spl16_14
| ~ spl16_21 ),
inference(superposition,[],[f329,f386]) ).
fof(f529,plain,
( ~ ssItem(sK9)
| ~ spl16_2
| ~ spl16_6
| ~ spl16_14
| ~ spl16_21 ),
inference(resolution,[],[f214,f392]) ).
fof(f531,plain,
( $false
| ~ spl16_2
| ~ spl16_6
| ~ spl16_14
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f529,f233]) ).
fof(f532,plain,
( ~ spl16_2
| ~ spl16_6
| ~ spl16_14
| ~ spl16_21 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f549,plain,
( memberP(nil,sK4)
| ~ spl16_1
| ~ spl16_21 ),
inference(superposition,[],[f383,f230]) ).
fof(f554,plain,
( ~ ssItem(sK4)
| ~ spl16_1
| ~ spl16_21 ),
inference(resolution,[],[f549,f195]) ).
fof(f556,plain,
( $false
| ~ spl16_1
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f554,f163]) ).
fof(f557,plain,
( ~ spl16_1
| ~ spl16_21 ),
inference(avatar_contradiction_clause,[],[f556]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s7,plain,
( spl16_1
| spl16_6 ),
inference(sat_conversion,[],[f252]) ).
cnf(s10,plain,
( spl16_7
| ~ spl16_9
| ~ spl16_10 ),
inference(sat_conversion,[],[f282]) ).
cnf(s12,plain,
spl16_9,
inference(sat_conversion,[],[f292]) ).
cnf(s14,plain,
spl16_10,
inference(sat_conversion,[],[f298]) ).
cnf(s15,plain,
( ~ spl16_7
| spl16_11 ),
inference(sat_conversion,[],[f304]) ).
cnf(s17,plain,
( ~ spl16_9
| ~ spl16_10
| ~ spl16_11
| spl16_13 ),
inference(sat_conversion,[],[f318]) ).
cnf(s18,plain,
( ~ spl16_7
| ~ spl16_9
| ~ spl16_11
| spl16_14 ),
inference(sat_conversion,[],[f324]) ).
cnf(s20,plain,
( ~ spl16_13
| ~ spl16_15
| spl16_17 ),
inference(sat_conversion,[],[f350]) ).
cnf(s22,plain,
spl16_15,
inference(sat_conversion,[],[f358]) ).
cnf(s25,plain,
( ~ spl16_15
| ~ spl16_17
| spl16_21 ),
inference(sat_conversion,[],[f384]) ).
cnf(s30,plain,
( ~ spl16_2
| ~ spl16_6
| ~ spl16_14
| ~ spl16_21 ),
inference(sat_conversion,[],[f532]) ).
cnf(s34,plain,
( ~ spl16_1
| ~ spl16_21 ),
inference(sat_conversion,[],[f557]) ).
cnf(s37,plain,
( ~ spl16_13
| spl16_17 ),
inference(rat,[],[s20,s22]) ).
cnf(s39,plain,
spl16_7,
inference(rat,[],[s10,s14,s12]) ).
cnf(s40,plain,
spl16_11,
inference(rat,[],[s15,s39]) ).
cnf(s41,plain,
spl16_13,
inference(rat,[],[s17,s12,s14,s40]) ).
cnf(s43,plain,
spl16_14,
inference(rat,[],[s18,s39,s12,s40]) ).
cnf(s44,plain,
spl16_17,
inference(rat,[],[s37,s41]) ).
cnf(s46,plain,
spl16_21,
inference(rat,[],[s25,s22,s44]) ).
cnf(s49,plain,
~ spl16_1,
inference(rat,[],[s34,s46]) ).
cnf(s51,plain,
spl16_6,
inference(rat,[],[s7,s49]) ).
cnf(s52,plain,
~ spl16_2,
inference(rat,[],[s30,s46,s43,s51]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s1,s52,s49]) ).
fof(f558,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC298+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.12 % Computer : n012.cluster.edu
% 0.06/0.12 % Model : x86_64 x86_64
% 0.06/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.12 % Memory : 8046.5625MB
% 0.06/0.12 % OS : Linux 6.8.0-71-generic
% 0.06/0.12 % CPULimit : 300
% 0.06/0.12 % WCLimit : 300
% 0.06/0.12 % DateTime : Mon Sep 28 08:56:36 UTC 2026
% 0.06/0.12 % CPUTime :
% 0.06/0.12 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.14 Running first-order theorem proving
% 0.06/0.14 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
% 4.16/1.31 % (3243658)Detected formulas, will run a generic FOF schedule.
% 4.16/1.31 % (3243697)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=1826033666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.16/1.31 % (3243701)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1652200445:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.16/1.31 % (3243699)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=33391082:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.16/1.31 % (3243700)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1866346247:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.16/1.31 % (3243702)dis-21_1_sil=8000:lcm=predicate:random_seed=613594806: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)
% 4.16/1.31 % (3243698)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=984822151:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.16/1.31 % (3243696)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=389663716:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.16/1.31 % (3243700)Instruction limit reached!
% 4.16/1.31 % (3243700)------------------------------
% 4.16/1.31 % (3243700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243700)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243700)Termination reason: Instruction limit
% 4.16/1.31 % (3243700)Termination phase: Saturation
% 4.16/1.31 % (3243700)Time elapsed: 0.055 s
% 4.16/1.31 % (3243700)Peak memory usage: 88 MB
% 4.16/1.31 % (3243700)Instructions burned: 119 (million)
% 4.16/1.31 % (3243699)Instruction limit reached!
% 4.16/1.31 % (3243699)------------------------------
% 4.16/1.31 % (3243699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243699)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243699)Termination reason: Instruction limit
% 4.16/1.31 % (3243699)Termination phase: Saturation
% 4.16/1.31 % (3243699)Time elapsed: 0.058 s
% 4.16/1.31 % (3243699)Peak memory usage: 89 MB
% 4.16/1.31 % (3243699)Instructions burned: 110 (million)
% 4.16/1.31 % (3243702)Instruction limit reached!
% 4.16/1.31 % (3243702)------------------------------
% 4.16/1.31 % (3243702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243702)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243702)Termination reason: Instruction limit
% 4.16/1.31 % (3243702)Termination phase: Saturation
% 4.16/1.31 % (3243702)Time elapsed: 0.066 s
% 4.16/1.31 % (3243702)Peak memory usage: 91 MB
% 4.16/1.31 % (3243702)Instructions burned: 130 (million)
% 4.16/1.31 % (3243701)Instruction limit reached!
% 4.16/1.31 % (3243701)------------------------------
% 4.16/1.31 % (3243701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243701)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243701)Termination reason: Instruction limit
% 4.16/1.31 % (3243701)Termination phase: Saturation
% 4.16/1.31 % (3243701)Time elapsed: 0.081 s
% 4.16/1.31 % (3243701)Peak memory usage: 90 MB
% 4.16/1.31 % (3243701)Instructions burned: 140 (million)
% 4.16/1.31 % (3243714)lrs+10_1_sil=8000:sp=occurrence:random_seed=4027810967:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.16/1.31 % (3243716)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1713146158:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.16/1.31 % (3243715)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2298806353:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.16/1.31 % (3243717)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=785973095:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.16/1.31 % (3243715)Instruction limit reached!
% 4.16/1.31 % (3243715)------------------------------
% 4.16/1.31 % (3243715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243715)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243715)Termination reason: Instruction limit
% 4.16/1.31 % (3243715)Termination phase: Saturation
% 4.16/1.31 % (3243715)Time elapsed: 0.075 s
% 4.16/1.31 % (3243715)Peak memory usage: 95 MB
% 4.16/1.31 % (3243715)Instructions burned: 158 (million)
% 4.16/1.31 % (3243714)Instruction limit reached!
% 4.16/1.31 % (3243714)------------------------------
% 4.16/1.31 % (3243714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243714)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243714)Termination reason: Instruction limit
% 4.16/1.31 % (3243714)Termination phase: Saturation
% 4.16/1.31 % (3243714)Time elapsed: 0.125 s
% 4.16/1.31 % (3243714)Peak memory usage: 92 MB
% 4.16/1.31 % (3243714)Instructions burned: 286 (million)
% 4.16/1.31 % (3243716)Instruction limit reached!
% 4.16/1.31 % (3243716)------------------------------
% 4.16/1.31 % (3243716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243716)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243716)Termination reason: Instruction limit
% 4.16/1.31 % (3243716)Termination phase: Saturation
% 4.16/1.31 % (3243716)Time elapsed: 0.168 s
% 4.16/1.31 % (3243716)Peak memory usage: 92 MB
% 4.16/1.31 % (3243716)Instructions burned: 325 (million)
% 4.16/1.31 % (3243717)Instruction limit reached!
% 4.16/1.31 % (3243717)------------------------------
% 4.16/1.31 % (3243717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.31 % (3243717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.31 % (3243717)CaDiCaL version: 2.1.3
% 4.16/1.31 % (3243717)Termination reason: Instruction limit
% 4.16/1.31 % (3243717)Termination phase: Saturation
% 4.16/1.31 % (3243717)Time elapsed: 0.111 s
% 4.16/1.31 % (3243717)Peak memory usage: 94 MB
% 4.16/1.31 % (3243717)Instructions burned: 249 (million)
% 4.16/1.31 % (3243697)First to succeed.
% 4.16/1.31 % (3243697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3243658"
% 4.16/1.31 % (3243728)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1215175559:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.16/1.31 % (3243729)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4204895507:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.16/1.31 % (3243697)Refutation found. Thanks to Tanya!
% 4.16/1.31 % SZS status Theorem for theBenchmark
% 4.16/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/1.44 % (3243697)------------------------------
% 5.95/1.44 % (3243697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.44 % (3243697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.44 % (3243697)CaDiCaL version: 2.1.3
% 5.95/1.44 % (3243697)Termination reason: Refutation
% 5.95/1.44 % (3243697)Time elapsed: 0.427 s
% 5.95/1.44 % (3243697)Peak memory usage: 130 MB
% 5.95/1.44 % (3243697)Instructions burned: 1010 (million)
% 5.95/1.44 % (3243697)------------------------------
% 5.95/1.44 % (3243697)------------------------------
% 5.95/1.44 % (3243658)Success in time 0.787 s
% 5.95/1.44 % Vampire exiting
%------------------------------------------------------------------------------