%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC162+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 : n004.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 01:02:43 PM UTC 2026
% Result : Theorem 6.43s 2.03s
% Output : Refutation 8.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 37
% Syntax : Number of formulae : 287 ( 49 unt; 26 def)
% Number of atoms : 1024 ( 82 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 1310 ( 573 ~; 574 |; 88 &)
% ( 38 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 27 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn 130 !; 32 ?)
% 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(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
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(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,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
| ~ leq(X5,X4)
| ( ! [X9] :
( ssItem(X9)
=> ( ~ memberP(X7,X9)
| ( leq(X4,X9)
& leq(X9,X5) ) ) )
& leq(X4,X5) ) ) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
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
| ~ segmentP(X3,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
| ~ leq(X5,X4)
| ( ! [X9] :
( ssItem(X9)
=> ( ~ memberP(X7,X9)
| ( leq(X4,X9)
& leq(X9,X5) ) ) )
& leq(X4,X5) ) ) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& leq(X5,X4)
& ( ? [X9] :
( memberP(X7,X9)
& ( ~ leq(X4,X9)
| ~ leq(X9,X5) )
& ssItem(X9) )
| ~ leq(X4,X5) )
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& leq(X5,X4)
& ( ? [X9] :
( memberP(X7,X9)
& ( ~ leq(X4,X9)
| ~ leq(X9,X5) )
& ssItem(X9) )
| ~ leq(X4,X5) )
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& 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] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f121,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(f122,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(f123,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(f124,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f125,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f140,plain,
( sK1 = sK3
& sK0 = sK2
& segmentP(sK3,sK2)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
& leq(sK5,sK4)
& ( ( memberP(sK7,sK9)
& ( ~ leq(sK4,sK9)
| ~ leq(sK9,sK5) )
& ssItem(sK9) )
| ~ leq(sK4,sK5) )
& ssList(sK8)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& ( singletonP(sK2)
| ~ neq(sK3,nil) )
& 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(f145,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f147,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,[],[f121]) ).
fof(f148,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,[],[f147]) ).
fof(f149,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,[],[f122]) ).
fof(f150,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,[],[f149]) ).
fof(f151,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,[],[f123]) ).
fof(f152,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,[],[f151]) ).
fof(f153,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))],[f152]) ).
fof(f154,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f155,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK16(X0))
& cons(sK16(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0))],[f155]) ).
fof(f157,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f161,plain,
ssList(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f162,plain,
ssList(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f165,plain,
( singletonP(sK2)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f140]) ).
fof(f166,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f140]) ).
fof(f167,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f140]) ).
fof(f168,plain,
ssList(sK6),
inference(cnf_transformation,[],[f140]) ).
fof(f169,plain,
ssList(sK7),
inference(cnf_transformation,[],[f140]) ).
fof(f170,plain,
ssList(sK8),
inference(cnf_transformation,[],[f140]) ).
fof(f171,plain,
( ssItem(sK9)
| ~ leq(sK4,sK5) ),
inference(cnf_transformation,[],[f140]) ).
fof(f172,plain,
( ~ leq(sK4,sK9)
| ~ leq(sK9,sK5)
| ~ leq(sK4,sK5) ),
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
( memberP(sK7,sK9)
| ~ leq(sK4,sK5) ),
inference(cnf_transformation,[],[f140]) ).
fof(f174,plain,
leq(sK5,sK4),
inference(cnf_transformation,[],[f140]) ).
fof(f175,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f140]) ).
fof(f176,plain,
segmentP(sK3,sK2),
inference(cnf_transformation,[],[f140]) ).
fof(f177,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f140]) ).
fof(f178,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f140]) ).
fof(f189,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f200,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f202,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f206,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f211,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f212,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f216,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,[],[f153]) ).
fof(f218,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK16(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f219,plain,
! [X0] :
( ~ singletonP(X0)
| ssItem(sK16(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f221,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f235,plain,
sK2 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(definition_unfolding,[],[f175,f177]) ).
fof(f236,plain,
ssList(sK3),
inference(definition_unfolding,[],[f162,f178]) ).
fof(f237,plain,
ssList(sK2),
inference(definition_unfolding,[],[f161,f177]) ).
fof(f243,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,[],[f216]) ).
fof(f250,definition,
( spl19_1
<=> neq(sK3,nil) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f251,plain,
( ~ neq(sK3,nil)
| spl19_1 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,definition,
( spl19_2
<=> singletonP(sK2) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f254,plain,
( singletonP(sK2)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( ~ spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f165,f253,f250]) ).
fof(f257,definition,
( spl19_3
<=> leq(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f258,plain,
( ~ leq(sK4,sK5)
| spl19_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,definition,
( spl19_4
<=> ssItem(sK9) ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f261,plain,
( ssItem(sK9)
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( ~ spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f171,f260,f257]) ).
fof(f264,definition,
( spl19_5
<=> leq(sK9,sK5) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f265,plain,
( ~ leq(sK9,sK5)
| spl19_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,definition,
( spl19_6
<=> leq(sK4,sK9) ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f268,plain,
( ~ leq(sK4,sK9)
| spl19_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( ~ spl19_3
| ~ spl19_5
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f172,f267,f264,f257]) ).
fof(f271,definition,
( spl19_7
<=> memberP(sK7,sK9) ),
introduced(definition,[new_symbols(definition,[spl19_7])],[avatar_definition]) ).
fof(f272,plain,
( memberP(sK7,sK9)
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( ~ spl19_3
| spl19_7 ),
inference(avatar_split_clause,[],[f173,f271,f257]) ).
fof(f283,definition,
( spl19_10
<=> nil = sK3 ),
introduced(definition,[new_symbols(definition,[spl19_10])],[avatar_definition]) ).
fof(f284,plain,
( nil = sK3
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl19_1 ),
inference(resolution,[],[f202,f251]) ).
fof(f287,plain,
( nil = sK3
| ~ ssList(sK3)
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f286,f205]) ).
fof(f288,plain,
( nil = sK3
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f287,f236]) ).
fof(f289,plain,
( spl19_10
| spl19_1 ),
inference(avatar_split_clause,[],[f288,f250,f283]) ).
fof(f291,plain,
( segmentP(nil,sK2)
| ~ spl19_10 ),
inference(superposition,[],[f176,f284]) ).
fof(f293,plain,
( nil = sK2
| ~ ssList(sK2)
| ~ spl19_10 ),
inference(resolution,[],[f221,f291]) ).
fof(f294,plain,
( nil = sK2
| ~ spl19_10 ),
inference(forward_subsumption_resolution,[],[f293,f237]) ).
fof(f473,definition,
( spl19_11
<=> ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil))) ),
introduced(definition,[new_symbols(definition,[spl19_11])],[avatar_definition]) ).
fof(f474,plain,
( ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| spl19_11 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f479,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl19_11 ),
inference(resolution,[],[f474,f200]) ).
fof(f481,definition,
( spl19_13
<=> ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f482,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl19_13 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f484,definition,
( spl19_14
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl19_14])],[avatar_definition]) ).
fof(f485,plain,
( ~ ssList(cons(sK5,nil))
| spl19_14 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( ~ spl19_13
| ~ spl19_14
| spl19_11 ),
inference(avatar_split_clause,[],[f479,f473,f484,f481]) ).
fof(f487,plain,
( ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_13 ),
inference(resolution,[],[f482,f200]) ).
fof(f488,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_13 ),
inference(forward_subsumption_resolution,[],[f487,f169]) ).
fof(f489,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl19_13 ),
inference(resolution,[],[f488,f200]) ).
fof(f490,plain,
( ~ ssList(cons(sK4,nil))
| spl19_13 ),
inference(forward_subsumption_resolution,[],[f489,f168]) ).
fof(f492,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl19_13 ),
inference(resolution,[],[f490,f189]) ).
fof(f494,plain,
( ~ ssList(nil)
| spl19_13 ),
inference(forward_subsumption_resolution,[],[f492,f166]) ).
fof(f495,plain,
( $false
| spl19_13 ),
inference(forward_subsumption_resolution,[],[f494,f205]) ).
fof(f496,plain,
spl19_13,
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f498,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl19_14 ),
inference(resolution,[],[f485,f189]) ).
fof(f500,plain,
( ~ ssList(nil)
| spl19_14 ),
inference(forward_subsumption_resolution,[],[f498,f167]) ).
fof(f501,plain,
( $false
| spl19_14 ),
inference(forward_subsumption_resolution,[],[f500,f205]) ).
fof(f502,plain,
spl19_14,
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f503,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,[],[f212,f235]) ).
fof(f504,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,[],[f503,f170]) ).
fof(f505,plain,
( ! [X0] :
( memberP(nil,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) )
| ~ spl19_10 ),
inference(forward_demodulation,[],[f504,f294]) ).
fof(f506,plain,
( ! [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) )
| ~ spl19_10 ),
inference(forward_subsumption_resolution,[],[f505,f206]) ).
fof(f508,definition,
( spl19_15
<=> ! [X0] :
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).
fof(f509,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0) )
| ~ spl19_15 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ spl19_11
| spl19_15
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f506,f283,f508,f473]) ).
fof(f512,plain,
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK5)
| ~ spl19_15 ),
inference(resolution,[],[f509,f167]) ).
fof(f513,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ spl19_15 ),
inference(resolution,[],[f512,f243]) ).
fof(f518,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssItem(sK5)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f513,f205]) ).
fof(f527,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f518,f167]) ).
fof(f528,plain,
( ~ spl19_11
| ~ spl19_13
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f527,f508,f481,f473]) ).
fof(f530,definition,
( spl19_18
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_18])],[avatar_definition]) ).
fof(f531,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X0) )
| ~ spl19_18 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( ~ spl19_11
| spl19_18 ),
inference(avatar_split_clause,[],[f504,f530,f473]) ).
fof(f533,plain,
( memberP(sK2,sK4)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK4)
| ~ spl19_18 ),
inference(resolution,[],[f531,f166]) ).
fof(f534,plain,
( memberP(sK2,sK5)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK5)
| ~ spl19_18 ),
inference(resolution,[],[f531,f167]) ).
fof(f536,definition,
( spl19_19
<=> memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK5) ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f537,plain,
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK5)
| spl19_19 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f539,definition,
( spl19_20
<=> memberP(sK2,sK5) ),
introduced(definition,[new_symbols(definition,[spl19_20])],[avatar_definition]) ).
fof(f540,plain,
( memberP(sK2,sK5)
| ~ spl19_20 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f541,plain,
( ~ spl19_19
| spl19_20
| ~ spl19_18 ),
inference(avatar_split_clause,[],[f534,f530,f539,f536]) ).
fof(f543,definition,
( spl19_21
<=> memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK4) ),
introduced(definition,[new_symbols(definition,[spl19_21])],[avatar_definition]) ).
fof(f544,plain,
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK4)
| spl19_21 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f546,definition,
( spl19_22
<=> memberP(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl19_22])],[avatar_definition]) ).
fof(f547,plain,
( memberP(sK2,sK4)
| ~ spl19_22 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f548,plain,
( ~ spl19_21
| spl19_22
| ~ spl19_18 ),
inference(avatar_split_clause,[],[f533,f530,f546,f543]) ).
fof(f549,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| spl19_19 ),
inference(resolution,[],[f537,f243]) ).
fof(f554,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssItem(sK5)
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| spl19_19 ),
inference(forward_subsumption_resolution,[],[f549,f205]) ).
fof(f557,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)))
| spl19_19 ),
inference(forward_subsumption_resolution,[],[f554,f167]) ).
fof(f558,plain,
( ~ spl19_11
| ~ spl19_13
| spl19_19 ),
inference(avatar_split_clause,[],[f557,f536,f481,f473]) ).
fof(f559,plain,
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),sK4)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssItem(sK4)
| spl19_21 ),
inference(resolution,[],[f544,f212]) ).
fof(f562,plain,
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),sK4)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl19_21 ),
inference(forward_subsumption_resolution,[],[f559,f166]) ).
fof(f568,definition,
( spl19_24
<=> memberP(app(app(sK6,cons(sK4,nil)),sK7),sK4) ),
introduced(definition,[new_symbols(definition,[spl19_24])],[avatar_definition]) ).
fof(f569,plain,
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),sK4)
| spl19_24 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( ~ spl19_13
| ~ spl19_14
| ~ spl19_24
| spl19_21 ),
inference(avatar_split_clause,[],[f562,f543,f568,f484,f481]) ).
fof(f571,plain,
( ~ memberP(app(sK6,cons(sK4,nil)),sK4)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(sK4)
| spl19_24 ),
inference(resolution,[],[f569,f212]) ).
fof(f574,plain,
( ~ memberP(app(sK6,cons(sK4,nil)),sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(sK4)
| spl19_24 ),
inference(forward_subsumption_resolution,[],[f571,f169]) ).
fof(f576,plain,
( ~ memberP(app(sK6,cons(sK4,nil)),sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_24 ),
inference(forward_subsumption_resolution,[],[f574,f166]) ).
fof(f578,definition,
( spl19_25
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl19_25])],[avatar_definition]) ).
fof(f579,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_25 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f585,definition,
( spl19_27
<=> memberP(app(sK6,cons(sK4,nil)),sK4) ),
introduced(definition,[new_symbols(definition,[spl19_27])],[avatar_definition]) ).
fof(f586,plain,
( ~ memberP(app(sK6,cons(sK4,nil)),sK4)
| spl19_27 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( ~ spl19_25
| ~ spl19_27
| spl19_24 ),
inference(avatar_split_clause,[],[f576,f568,f585,f578]) ).
fof(f588,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl19_25 ),
inference(resolution,[],[f579,f200]) ).
fof(f589,plain,
( ~ ssList(cons(sK4,nil))
| spl19_25 ),
inference(forward_subsumption_resolution,[],[f588,f168]) ).
fof(f591,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl19_25 ),
inference(resolution,[],[f589,f189]) ).
fof(f593,plain,
( ~ ssList(nil)
| spl19_25 ),
inference(forward_subsumption_resolution,[],[f591,f166]) ).
fof(f594,plain,
( $false
| spl19_25 ),
inference(forward_subsumption_resolution,[],[f593,f205]) ).
fof(f595,plain,
spl19_25,
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f596,plain,
( ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_27 ),
inference(resolution,[],[f586,f243]) ).
fof(f601,plain,
( ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_27 ),
inference(forward_subsumption_resolution,[],[f596,f168]) ).
fof(f604,plain,
( ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_27 ),
inference(forward_subsumption_resolution,[],[f601,f205]) ).
fof(f606,definition,
( spl19_28
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl19_28])],[avatar_definition]) ).
fof(f607,plain,
( ~ ssList(cons(sK4,nil))
| spl19_28 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f616,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_27 ),
inference(forward_subsumption_resolution,[],[f604,f166]) ).
fof(f617,plain,
( ~ spl19_25
| spl19_27 ),
inference(avatar_split_clause,[],[f616,f585,f578]) ).
fof(f618,plain,
( sK2 = cons(sK16(sK2),nil)
| ~ ssList(sK2)
| ~ spl19_2 ),
inference(resolution,[],[f218,f254]) ).
fof(f619,plain,
( sK2 = cons(sK16(sK2),nil)
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f618,f237]) ).
fof(f621,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK16(sK2) = X0
| ~ ssList(nil)
| ~ ssItem(sK16(sK2))
| ~ ssItem(X0) )
| ~ spl19_2 ),
inference(superposition,[],[f207,f619]) ).
fof(f625,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK16(sK2) = X0
| ~ ssItem(sK16(sK2))
| ~ ssItem(X0) )
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f621,f205]) ).
fof(f628,definition,
( spl19_31
<=> ssItem(sK16(sK2)) ),
introduced(definition,[new_symbols(definition,[spl19_31])],[avatar_definition]) ).
fof(f629,plain,
( ~ ssItem(sK16(sK2))
| spl19_31 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f634,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK16(sK2) = X0
| ~ ssItem(sK16(sK2))
| ~ ssItem(X0) )
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f625,f206]) ).
fof(f640,definition,
( spl19_34
<=> ! [X0] :
( ~ memberP(sK2,X0)
| ~ ssItem(X0)
| sK16(sK2) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl19_34])],[avatar_definition]) ).
fof(f641,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| ~ ssItem(X0)
| sK16(sK2) = X0 )
| ~ spl19_34 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( ~ spl19_31
| spl19_34
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f634,f253,f640,f628]) ).
fof(f770,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl19_28 ),
inference(resolution,[],[f607,f189]) ).
fof(f772,plain,
( ~ ssList(nil)
| spl19_28 ),
inference(forward_subsumption_resolution,[],[f770,f166]) ).
fof(f773,plain,
( $false
| spl19_28 ),
inference(forward_subsumption_resolution,[],[f772,f205]) ).
fof(f774,plain,
spl19_28,
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f918,plain,
( ssItem(sK16(sK2))
| ~ ssList(sK2)
| ~ spl19_2 ),
inference(resolution,[],[f219,f254]) ).
fof(f920,plain,
( ~ ssList(sK2)
| ~ spl19_2
| spl19_31 ),
inference(forward_subsumption_resolution,[],[f918,f629]) ).
fof(f921,plain,
( $false
| ~ spl19_2
| spl19_31 ),
inference(forward_subsumption_resolution,[],[f920,f237]) ).
fof(f922,plain,
( ~ spl19_2
| spl19_31 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f924,plain,
( ~ ssItem(sK5)
| sK5 = sK16(sK2)
| ~ spl19_20
| ~ spl19_34 ),
inference(resolution,[],[f641,f540]) ).
fof(f925,plain,
( ~ ssItem(sK4)
| sK4 = sK16(sK2)
| ~ spl19_22
| ~ spl19_34 ),
inference(resolution,[],[f641,f547]) ).
fof(f926,plain,
( sK4 = sK16(sK2)
| ~ spl19_22
| ~ spl19_34 ),
inference(forward_subsumption_resolution,[],[f925,f166]) ).
fof(f927,plain,
( sK5 = sK16(sK2)
| ~ spl19_20
| ~ spl19_34 ),
inference(forward_subsumption_resolution,[],[f924,f167]) ).
fof(f928,plain,
( sK4 = sK5
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(forward_demodulation,[],[f927,f926]) ).
fof(f930,plain,
( leq(sK4,sK4)
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(superposition,[],[f174,f928]) ).
fof(f932,plain,
( ~ leq(sK4,sK4)
| spl19_3
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(superposition,[],[f258,f928]) ).
fof(f950,plain,
( $false
| spl19_3
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(forward_subsumption_resolution,[],[f930,f932]) ).
fof(f951,plain,
( spl19_3
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f952,plain,
( ~ leq(sK9,sK4)
| spl19_5
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(forward_demodulation,[],[f265,f928]) ).
fof(f958,plain,
( memberP(sK2,sK9)
| ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK9)
| ~ spl19_4
| ~ spl19_18 ),
inference(resolution,[],[f261,f531]) ).
fof(f960,plain,
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK4,nil)),sK9)
| memberP(sK2,sK9)
| ~ spl19_4
| ~ spl19_18
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(forward_demodulation,[],[f958,f928]) ).
fof(f962,definition,
( spl19_49
<=> memberP(sK2,sK9) ),
introduced(definition,[new_symbols(definition,[spl19_49])],[avatar_definition]) ).
fof(f963,plain,
( memberP(sK2,sK9)
| ~ spl19_49 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f965,definition,
( spl19_50
<=> memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK4,nil)),sK9) ),
introduced(definition,[new_symbols(definition,[spl19_50])],[avatar_definition]) ).
fof(f966,plain,
( ~ memberP(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK4,nil)),sK9)
| spl19_50 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f967,plain,
( spl19_49
| ~ spl19_50
| ~ spl19_4
| ~ spl19_18
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(avatar_split_clause,[],[f960,f640,f546,f539,f530,f260,f965,f962]) ).
fof(f968,plain,
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),sK9)
| ~ ssList(cons(sK4,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssItem(sK9)
| spl19_50 ),
inference(resolution,[],[f966,f212]) ).
fof(f971,plain,
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),sK9)
| ~ ssList(cons(sK4,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ spl19_4
| spl19_50 ),
inference(forward_subsumption_resolution,[],[f968,f261]) ).
fof(f977,definition,
( spl19_52
<=> memberP(app(app(sK6,cons(sK4,nil)),sK7),sK9) ),
introduced(definition,[new_symbols(definition,[spl19_52])],[avatar_definition]) ).
fof(f978,plain,
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),sK9)
| spl19_52 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f979,plain,
( ~ spl19_13
| ~ spl19_28
| ~ spl19_52
| ~ spl19_4
| spl19_50 ),
inference(avatar_split_clause,[],[f971,f965,f260,f977,f606,f481]) ).
fof(f981,plain,
( ~ memberP(sK7,sK9)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(sK9)
| spl19_52 ),
inference(resolution,[],[f978,f211]) ).
fof(f982,plain,
( ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(sK9)
| ~ spl19_7
| spl19_52 ),
inference(forward_subsumption_resolution,[],[f981,f272]) ).
fof(f984,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(sK9)
| ~ spl19_7
| spl19_52 ),
inference(forward_subsumption_resolution,[],[f982,f169]) ).
fof(f986,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl19_4
| ~ spl19_7
| spl19_52 ),
inference(forward_subsumption_resolution,[],[f984,f261]) ).
fof(f991,plain,
( ~ spl19_25
| ~ spl19_4
| ~ spl19_7
| spl19_52 ),
inference(avatar_split_clause,[],[f986,f977,f271,f260,f578]) ).
fof(f992,plain,
( ~ ssItem(sK9)
| sK9 = sK16(sK2)
| ~ spl19_34
| ~ spl19_49 ),
inference(resolution,[],[f963,f641]) ).
fof(f993,plain,
( sK9 = sK16(sK2)
| ~ spl19_4
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f992,f261]) ).
fof(f994,plain,
( sK2 = cons(sK9,nil)
| ~ spl19_2
| ~ spl19_4
| ~ spl19_34
| ~ spl19_49 ),
inference(superposition,[],[f619,f993]) ).
fof(f997,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssList(nil)
| ~ ssItem(sK9)
| ~ ssItem(X0) )
| ~ spl19_2
| ~ spl19_4
| ~ spl19_34
| ~ spl19_49 ),
inference(superposition,[],[f207,f994]) ).
fof(f1001,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssItem(sK9)
| ~ ssItem(X0) )
| ~ spl19_2
| ~ spl19_4
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f997,f205]) ).
fof(f1003,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK9 = X0
| ~ ssItem(X0) )
| ~ spl19_2
| ~ spl19_4
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f1001,f261]) ).
fof(f1004,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK9 = X0
| ~ ssItem(X0) )
| ~ spl19_2
| ~ spl19_4
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f1003,f206]) ).
fof(f1006,plain,
( sK4 = sK9
| ~ ssItem(sK4)
| ~ spl19_2
| ~ spl19_4
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(resolution,[],[f1004,f547]) ).
fof(f1008,plain,
( sK4 = sK9
| ~ spl19_2
| ~ spl19_4
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f1006,f166]) ).
fof(f1011,plain,
( leq(sK5,sK9)
| ~ spl19_2
| ~ spl19_4
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(superposition,[],[f174,f1008]) ).
fof(f1028,plain,
( ~ leq(sK9,sK9)
| ~ spl19_2
| ~ spl19_4
| spl19_5
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(superposition,[],[f952,f1008]) ).
fof(f1041,plain,
( leq(sK4,sK9)
| ~ spl19_2
| ~ spl19_4
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_demodulation,[],[f1011,f928]) ).
fof(f1049,plain,
( leq(sK9,sK9)
| ~ spl19_2
| ~ spl19_4
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_demodulation,[],[f1041,f1008]) ).
fof(f1055,plain,
( $false
| ~ spl19_2
| ~ spl19_4
| spl19_5
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f1049,f1028]) ).
fof(f1056,plain,
( ~ spl19_2
| ~ spl19_4
| spl19_5
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1060,plain,
( ~ leq(sK9,sK9)
| ~ spl19_2
| ~ spl19_4
| spl19_6
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_demodulation,[],[f268,f1008]) ).
fof(f1061,plain,
( $false
| ~ spl19_2
| ~ spl19_4
| spl19_6
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f1060,f1049]) ).
fof(f1062,plain,
( ~ spl19_2
| ~ spl19_4
| spl19_6
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
cnf(s1,plain,
( ~ spl19_1
| spl19_2 ),
inference(sat_conversion,[],[f255]) ).
cnf(s2,plain,
( ~ spl19_3
| spl19_4 ),
inference(sat_conversion,[],[f262]) ).
cnf(s3,plain,
( ~ spl19_3
| ~ spl19_5
| ~ spl19_6 ),
inference(sat_conversion,[],[f269]) ).
cnf(s4,plain,
( ~ spl19_3
| spl19_7 ),
inference(sat_conversion,[],[f273]) ).
cnf(s6,plain,
( spl19_1
| spl19_10 ),
inference(sat_conversion,[],[f289]) ).
cnf(s8,plain,
( spl19_11
| ~ spl19_13
| ~ spl19_14 ),
inference(sat_conversion,[],[f486]) ).
cnf(s10,plain,
spl19_13,
inference(sat_conversion,[],[f496]) ).
cnf(s12,plain,
spl19_14,
inference(sat_conversion,[],[f502]) ).
cnf(s13,plain,
( ~ spl19_10
| ~ spl19_11
| spl19_15 ),
inference(sat_conversion,[],[f510]) ).
cnf(s16,plain,
( ~ spl19_11
| ~ spl19_13
| ~ spl19_15 ),
inference(sat_conversion,[],[f528]) ).
cnf(s17,plain,
( ~ spl19_11
| spl19_18 ),
inference(sat_conversion,[],[f532]) ).
cnf(s18,plain,
( ~ spl19_18
| ~ spl19_19
| spl19_20 ),
inference(sat_conversion,[],[f541]) ).
cnf(s19,plain,
( ~ spl19_18
| ~ spl19_21
| spl19_22 ),
inference(sat_conversion,[],[f548]) ).
cnf(s22,plain,
( ~ spl19_11
| ~ spl19_13
| spl19_19 ),
inference(sat_conversion,[],[f558]) ).
cnf(s24,plain,
( ~ spl19_13
| ~ spl19_14
| spl19_21
| ~ spl19_24 ),
inference(sat_conversion,[],[f570]) ).
cnf(s26,plain,
( spl19_24
| ~ spl19_25
| ~ spl19_27 ),
inference(sat_conversion,[],[f587]) ).
cnf(s28,plain,
spl19_25,
inference(sat_conversion,[],[f595]) ).
cnf(s31,plain,
( ~ spl19_25
| spl19_27 ),
inference(sat_conversion,[],[f617]) ).
cnf(s34,plain,
( ~ spl19_2
| ~ spl19_31
| spl19_34 ),
inference(sat_conversion,[],[f642]) ).
cnf(s43,plain,
spl19_28,
inference(sat_conversion,[],[f774]) ).
cnf(s55,plain,
( ~ spl19_2
| spl19_31 ),
inference(sat_conversion,[],[f922]) ).
cnf(s57,plain,
( spl19_3
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34 ),
inference(sat_conversion,[],[f951]) ).
cnf(s58,plain,
( ~ spl19_4
| ~ spl19_18
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| spl19_49
| ~ spl19_50 ),
inference(sat_conversion,[],[f967]) ).
cnf(s60,plain,
( ~ spl19_4
| ~ spl19_13
| ~ spl19_28
| spl19_50
| ~ spl19_52 ),
inference(sat_conversion,[],[f979]) ).
cnf(s62,plain,
( ~ spl19_4
| ~ spl19_7
| ~ spl19_25
| spl19_52 ),
inference(sat_conversion,[],[f991]) ).
cnf(s64,plain,
( ~ spl19_2
| ~ spl19_4
| spl19_5
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s65,plain,
( ~ spl19_2
| ~ spl19_4
| spl19_6
| ~ spl19_20
| ~ spl19_22
| ~ spl19_34
| ~ spl19_49 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s71,plain,
spl19_27,
inference(rat,[],[s31,s28]) ).
cnf(s72,plain,
spl19_24,
inference(rat,[],[s26,s71,s28]) ).
cnf(s73,plain,
( ~ spl19_13
| ~ spl19_14
| spl19_21 ),
inference(rat,[],[s24,s72]) ).
cnf(s76,plain,
spl19_21,
inference(rat,[],[s73,s12,s10]) ).
cnf(s77,plain,
spl19_11,
inference(rat,[],[s8,s12,s10]) ).
cnf(s78,plain,
spl19_19,
inference(rat,[],[s22,s10,s77]) ).
cnf(s79,plain,
spl19_18,
inference(rat,[],[s17,s77]) ).
cnf(s80,plain,
~ spl19_15,
inference(rat,[],[s16,s10,s77]) ).
cnf(s81,plain,
~ spl19_10,
inference(rat,[],[s13,s80,s77]) ).
cnf(s82,plain,
spl19_22,
inference(rat,[],[s19,s76,s79]) ).
cnf(s83,plain,
spl19_20,
inference(rat,[],[s18,s78,s79]) ).
cnf(s84,plain,
spl19_1,
inference(rat,[],[s6,s81]) ).
cnf(s85,plain,
spl19_2,
inference(rat,[],[s1,s84]) ).
cnf(s86,plain,
spl19_31,
inference(rat,[],[s55,s85]) ).
cnf(s87,plain,
spl19_34,
inference(rat,[],[s34,s85,s86]) ).
cnf(s90,plain,
spl19_3,
inference(rat,[],[s57,s83,s82,s87]) ).
cnf(s91,plain,
spl19_7,
inference(rat,[],[s4,s90]) ).
cnf(s92,plain,
spl19_4,
inference(rat,[],[s2,s90]) ).
cnf(s93,plain,
spl19_52,
inference(rat,[],[s62,s91,s28,s92]) ).
cnf(s94,plain,
spl19_50,
inference(rat,[],[s60,s93,s10,s43,s92]) ).
cnf(s95,plain,
spl19_49,
inference(rat,[],[s58,s94,s87,s83,s82,s79,s92]) ).
cnf(s96,plain,
spl19_6,
inference(rat,[],[s65,s92,s87,s82,s83,s85,s95]) ).
cnf(s97,plain,
spl19_5,
inference(rat,[],[s64,s92,s87,s82,s83,s85,s95]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s3,s90,s96,s97]) ).
fof(f1063,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC162+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 08:13:52 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 6.43/2.03 % (201500)Detected formulas, will run a generic FOF schedule.
% 6.43/2.03 % (201509)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1643294122:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.43/2.03 % (201509)Instruction limit reached!
% 6.43/2.03 % (201509)------------------------------
% 6.43/2.03 % (201509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201509)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201509)Termination reason: Instruction limit
% 6.43/2.03 % (201509)Termination phase: Saturation
% 6.43/2.03 % (201509)Time elapsed: 0.039 s
% 6.43/2.03 % (201509)Peak memory usage: 88 MB
% 6.43/2.03 % (201509)Instructions burned: 120 (million)
% 6.43/2.03 % (201505)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=3837012720:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.43/2.03 % (201506)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=195363105:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.43/2.03 % (201507)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=2792196759:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.43/2.03 % (201510)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3657597515:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.43/2.03 % (201508)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=306075143:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.43/2.03 % (201511)dis-21_1_sil=8000:lcm=predicate:random_seed=151690044: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)
% 6.43/2.03 % (201510)Instruction limit reached!
% 6.43/2.03 % (201510)------------------------------
% 6.43/2.03 % (201510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201510)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201510)Termination reason: Instruction limit
% 6.43/2.03 % (201510)Termination phase: Saturation
% 6.43/2.03 % (201510)Time elapsed: 0.051 s
% 6.43/2.03 % (201510)Peak memory usage: 90 MB
% 6.43/2.03 % (201510)Instructions burned: 141 (million)
% 6.43/2.03 % (201508)Instruction limit reached!
% 6.43/2.03 % (201508)------------------------------
% 6.43/2.03 % (201508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201508)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201508)Termination reason: Instruction limit
% 6.43/2.03 % (201508)Termination phase: Saturation
% 6.43/2.03 % (201508)Time elapsed: 0.069 s
% 6.43/2.03 % (201508)Peak memory usage: 89 MB
% 6.43/2.03 % (201508)Instructions burned: 109 (million)
% 6.43/2.03 % (201511)Instruction limit reached!
% 6.43/2.03 % (201511)------------------------------
% 6.43/2.03 % (201511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201511)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201511)Termination reason: Instruction limit
% 6.43/2.03 % (201511)Termination phase: Saturation
% 6.43/2.03 % (201511)Time elapsed: 0.070 s
% 6.43/2.03 % (201511)Peak memory usage: 91 MB
% 6.43/2.03 % (201511)Instructions burned: 130 (million)
% 6.43/2.03 % (201516)lrs+10_1_sil=8000:sp=occurrence:random_seed=2686798905:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.43/2.03 % (201520)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3039942983:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.43/2.03 % (201520)Instruction limit reached!
% 6.43/2.03 % (201520)------------------------------
% 6.43/2.03 % (201520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201520)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201520)Termination reason: Instruction limit
% 6.43/2.03 % (201520)Termination phase: Saturation
% 6.43/2.03 % (201520)Time elapsed: 0.043 s
% 6.43/2.03 % (201520)Peak memory usage: 94 MB
% 6.43/2.03 % (201520)Instructions burned: 162 (million)
% 6.43/2.03 % (201521)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2265656723:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.43/2.03 % (201522)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=2415134901:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.43/2.03 % (201516)Instruction limit reached!
% 6.43/2.03 % (201516)------------------------------
% 6.43/2.03 % (201516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201516)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201516)Termination reason: Instruction limit
% 6.43/2.03 % (201516)Termination phase: Saturation
% 6.43/2.03 % (201516)Time elapsed: 0.165 s
% 6.43/2.03 % (201516)Peak memory usage: 92 MB
% 6.43/2.03 % (201516)Instructions burned: 286 (million)
% 6.43/2.03 % (201525)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3596076186:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.43/2.03 % (201522)Instruction limit reached!
% 6.43/2.03 % (201522)------------------------------
% 6.43/2.03 % (201522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201522)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201522)Termination reason: Instruction limit
% 6.43/2.03 % (201522)Termination phase: Saturation
% 6.43/2.03 % (201522)Time elapsed: 0.117 s
% 6.43/2.03 % (201522)Peak memory usage: 94 MB
% 6.43/2.03 % (201522)Instructions burned: 248 (million)
% 6.43/2.03 % (201525)Instruction limit reached!
% 6.43/2.03 % (201525)------------------------------
% 6.43/2.03 % (201525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201525)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201525)Termination reason: Instruction limit
% 6.43/2.03 % (201525)Termination phase: Saturation
% 6.43/2.03 % (201525)Time elapsed: 0.093 s
% 6.43/2.03 % (201525)Peak memory usage: 90 MB
% 6.43/2.03 % (201525)Instructions burned: 297 (million)
% 6.43/2.03 % (201521)Instruction limit reached!
% 6.43/2.03 % (201521)------------------------------
% 6.43/2.03 % (201521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201521)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201521)Termination reason: Instruction limit
% 6.43/2.03 % (201521)Termination phase: Saturation
% 6.43/2.03 % (201521)Time elapsed: 0.202 s
% 6.43/2.03 % (201521)Peak memory usage: 92 MB
% 6.43/2.03 % (201521)Instructions burned: 325 (million)
% 6.43/2.03 % (201528)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4090752182:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.43/2.03 % (201530)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=398886010:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.43/2.03 % (201531)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=558415552:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.43/2.03 % (201531)Instruction limit reached!
% 6.43/2.03 % (201531)------------------------------
% 6.43/2.03 % (201531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201531)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201531)Termination reason: Instruction limit
% 6.43/2.03 % (201531)Termination phase: Saturation
% 6.43/2.03 % (201531)Time elapsed: 0.035 s
% 6.43/2.03 % (201531)Peak memory usage: 90 MB
% 6.43/2.03 % (201531)Instructions burned: 131 (million)
% 6.43/2.03 % (201530)Instruction limit reached!
% 6.43/2.03 % (201530)------------------------------
% 6.43/2.03 % (201530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201530)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201530)Termination reason: Instruction limit
% 6.43/2.03 % (201530)Termination phase: Saturation
% 6.43/2.03 % (201530)Time elapsed: 0.075 s
% 6.43/2.03 % (201530)Peak memory usage: 90 MB
% 6.43/2.03 % (201530)Instructions burned: 114 (million)
% 6.43/2.03 % (201532)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4145992098:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.43/2.03 % (201532)Instruction limit reached!
% 6.43/2.03 % (201532)------------------------------
% 6.43/2.03 % (201532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201532)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201532)Termination reason: Instruction limit
% 6.43/2.03 % (201532)Termination phase: Saturation
% 6.43/2.03 % (201532)Time elapsed: 0.067 s
% 6.43/2.03 % (201532)Peak memory usage: 89 MB
% 6.43/2.03 % (201532)Instructions burned: 115 (million)
% 6.43/2.03 % (201536)lrs+10_1_sil=8000:sp=occurrence:random_seed=3610501498:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.43/2.03 % (201538)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3170355559:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.43/2.03 % (201506)First to succeed.
% 6.43/2.03 % (201506)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-201500"
% 6.43/2.03 % (201539)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3990630649:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.43/2.03 % (201505)Also succeeded, but the first one will report.
% 6.43/2.03 % (201536)Instruction limit reached!
% 6.43/2.03 % (201536)------------------------------
% 6.43/2.03 % (201536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201536)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201536)Termination reason: Instruction limit
% 6.43/2.03 % (201536)Termination phase: Saturation
% 6.43/2.03 % (201536)Time elapsed: 0.263 s
% 6.43/2.03 % (201536)Peak memory usage: 100 MB
% 6.43/2.03 % (201536)Instructions burned: 910 (million)
% 6.43/2.03 % (201538)Instruction limit reached!
% 6.43/2.03 % (201538)------------------------------
% 6.43/2.03 % (201538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (201538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (201538)CaDiCaL version: 2.1.3
% 6.43/2.03 % (201538)Termination reason: Instruction limit
% 6.43/2.03 % (201538)Termination phase: Saturation
% 6.43/2.03 % (201538)Time elapsed: 0.260 s
% 6.43/2.03 % (201538)Peak memory usage: 93 MB
% 6.43/2.03 % (201538)Instructions burned: 438 (million)
% 6.43/2.03 % (201506)Refutation found. Thanks to Tanya!
% 6.43/2.03 % SZS status Theorem for theBenchmark
% 6.43/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.90/2.22 % (201506)------------------------------
% 8.90/2.22 % (201506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.90/2.22 % (201506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/2.22 % (201506)CaDiCaL version: 2.1.3
% 8.90/2.22 % (201506)Termination reason: Refutation
% 8.90/2.22 % (201506)Time elapsed: 0.745 s
% 8.90/2.22 % (201506)Peak memory usage: 130 MB
% 8.90/2.22 % (201506)Instructions burned: 1107 (million)
% 8.90/2.22 % (201506)------------------------------
% 8.90/2.22 % (201506)------------------------------
% 8.90/2.22 % (201500)Success in time 1.179 s
% 8.90/2.22 % Vampire exiting
%------------------------------------------------------------------------------