%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC155+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 : n015.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 01:02:41 PM UTC 2026
% Result : Theorem 8.69s 2.12s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 32
% Syntax : Number of formulae : 240 ( 39 unt; 22 def)
% Number of atoms : 918 ( 66 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 1199 ( 521 ~; 523 |; 88 &)
% ( 26 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 23 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 202 ( 0 sgn 166 !; 36 ?)
% 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(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X0,X1)
& leq(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
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(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(app(app(app(X10,cons(X8,nil)),X11),cons(X9,nil)),X12) != X0
| ~ leq(X9,X8)
| ( ! [X13] :
( ssItem(X13)
=> ( ~ memberP(X11,X13)
| ( leq(X8,X13)
& leq(X13,X9) ) ) )
& leq(X8,X9) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(app(app(app(X10,cons(X8,nil)),X11),cons(X9,nil)),X12) != X0
| ~ leq(X9,X8)
| ( ! [X13] :
( ssItem(X13)
=> ( ~ memberP(X11,X13)
| ( leq(X8,X13)
& leq(X13,X9) ) ) )
& leq(X8,X9) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X2
| ! [X7] :
( ~ ssItem(X7)
| ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(app(app(X10,cons(X8,nil)),X11),cons(X9,nil)),X12) = X0
& leq(X9,X8)
& ( ? [X13] :
( memberP(X11,X13)
& ( ~ leq(X8,X13)
| ~ leq(X13,X9) )
& ssItem(X13) )
| ~ leq(X8,X9) )
& ssList(X12) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
& ssItem(X8) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X2
| ! [X7] :
( ~ ssItem(X7)
| ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(app(app(X10,cons(X8,nil)),X11),cons(X9,nil)),X12) = X0
& leq(X9,X8)
& ( ? [X13] :
( memberP(X11,X13)
& ( ~ leq(X8,X13)
| ~ leq(X13,X9) )
& ssItem(X13) )
| ~ leq(X8,X9) )
& ssList(X12) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
& ssItem(X8) )
& 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(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
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(f123,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
( sK1 = sK3
& sK0 = sK2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK2
| ! [X7] :
( ~ ssItem(X7)
| ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& 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)
& 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(X8,sK4),skolemize(X9,sK5),skolemize(X10,sK6),skolemize(X11,sK7),skolemize(X12,sK8),skolemize(X13,sK9)],[f99]) ).
fof(f134,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(f135,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,[],[f134]) ).
fof(f136,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(f137,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,[],[f136]) ).
fof(f138,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))],[f137]) ).
fof(f143,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f127]) ).
fof(f144,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f127]) ).
fof(f145,plain,
ssList(sK6),
inference(cnf_transformation,[],[f127]) ).
fof(f146,plain,
ssList(sK7),
inference(cnf_transformation,[],[f127]) ).
fof(f147,plain,
ssList(sK8),
inference(cnf_transformation,[],[f127]) ).
fof(f148,plain,
( ssItem(sK9)
| ~ leq(sK4,sK5) ),
inference(cnf_transformation,[],[f127]) ).
fof(f149,plain,
( ~ leq(sK4,sK9)
| ~ leq(sK9,sK5)
| ~ leq(sK4,sK5) ),
inference(cnf_transformation,[],[f127]) ).
fof(f150,plain,
( memberP(sK7,sK9)
| ~ leq(sK4,sK5) ),
inference(cnf_transformation,[],[f127]) ).
fof(f151,plain,
leq(sK5,sK4),
inference(cnf_transformation,[],[f127]) ).
fof(f152,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f127]) ).
fof(f153,plain,
! [X6,X7,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssItem(X7)
| leq(X7,X4)
| ~ memberP(X5,X7) ),
inference(cnf_transformation,[],[f127]) ).
fof(f154,plain,
! [X6,X7,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssItem(X7)
| leq(X4,X7)
| ~ memberP(X6,X7) ),
inference(cnf_transformation,[],[f127]) ).
fof(f155,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f127]) ).
fof(f167,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f172,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f173,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f178,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f179,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f185,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f186,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f190,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,[],[f138]) ).
fof(f192,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f193,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f197,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,[],[f190]) ).
fof(f201,definition,
( spl16_1
<=> leq(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f204,definition,
( spl16_2
<=> ssItem(sK9) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f205,plain,
( ssItem(sK9)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( ~ spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f148,f204,f201]) ).
fof(f208,definition,
( spl16_3
<=> leq(sK9,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f209,plain,
( ~ leq(sK9,sK5)
| spl16_3 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,definition,
( spl16_4
<=> leq(sK4,sK9) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f212,plain,
( ~ leq(sK4,sK9)
| spl16_4 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f213,plain,
( ~ spl16_1
| ~ spl16_3
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f149,f211,f208,f201]) ).
fof(f215,definition,
( spl16_5
<=> memberP(sK7,sK9) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f216,plain,
( memberP(sK7,sK9)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f217,plain,
( ~ spl16_1
| spl16_5 ),
inference(avatar_split_clause,[],[f150,f215,f201]) ).
fof(f218,plain,
( ~ leq(sK4,sK5)
| sK4 = sK5
| ~ ssItem(sK5)
| ~ ssItem(sK4) ),
inference(resolution,[],[f151,f193]) ).
fof(f219,plain,
( ~ leq(sK4,sK5)
| sK4 = sK5
| ~ ssItem(sK4) ),
inference(forward_subsumption_resolution,[],[f218,f144]) ).
fof(f220,plain,
( ~ leq(sK4,sK5)
| sK4 = sK5 ),
inference(forward_subsumption_resolution,[],[f219,f143]) ).
fof(f222,definition,
( spl16_6
<=> sK4 = sK5 ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f223,plain,
( sK4 = sK5
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( spl16_6
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f220,f201,f222]) ).
fof(f232,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
inference(superposition,[],[f152,f172]) ).
fof(f256,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
inference(forward_subsumption_resolution,[],[f232,f147]) ).
fof(f260,definition,
( spl16_7
<=> ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f261,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl16_7 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,definition,
( spl16_8
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f264,plain,
( ~ ssList(cons(sK5,nil))
| spl16_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,definition,
( spl16_9
<=> sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f267,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f309,plain,
( ~ spl16_7
| ~ spl16_8
| spl16_9 ),
inference(avatar_split_clause,[],[f256,f266,f263,f260]) ).
fof(f311,definition,
( spl16_20
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).
fof(f312,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl16_20 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f319,definition,
( spl16_22
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).
fof(f320,plain,
( ~ ssList(cons(sK4,nil))
| spl16_22 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f325,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl16_8 ),
inference(resolution,[],[f264,f167]) ).
fof(f326,plain,
( ~ ssList(nil)
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f325,f144]) ).
fof(f327,plain,
( $false
| spl16_8 ),
inference(forward_subsumption_resolution,[],[f326,f179]) ).
fof(f328,plain,
spl16_8,
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f329,plain,
! [X6,X7,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK0
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(X7)
| leq(X7,X4)
| ~ memberP(X5,X7) ),
inference(forward_demodulation,[],[f153,f155]) ).
fof(f330,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl16_22 ),
inference(resolution,[],[f320,f167]) ).
fof(f331,plain,
( ~ ssList(nil)
| spl16_22 ),
inference(forward_subsumption_resolution,[],[f330,f143]) ).
fof(f332,plain,
( $false
| spl16_22 ),
inference(forward_subsumption_resolution,[],[f331,f179]) ).
fof(f333,plain,
spl16_22,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f334,plain,
! [X6,X7,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK0
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(X7)
| leq(X4,X7)
| ~ memberP(X6,X7) ),
inference(forward_demodulation,[],[f154,f155]) ).
fof(f335,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl16_20 ),
inference(resolution,[],[f312,f178]) ).
fof(f336,plain,
( ~ ssList(cons(sK4,nil))
| spl16_20 ),
inference(forward_subsumption_resolution,[],[f335,f145]) ).
fof(f337,plain,
( ~ spl16_22
| spl16_20 ),
inference(avatar_split_clause,[],[f336,f311,f319]) ).
fof(f344,plain,
! [X0] :
( sK0 != sK0
| ~ ssItem(sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(sK8)
| ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0) ),
inference(superposition,[],[f329,f152]) ).
fof(f345,plain,
! [X0] :
( ~ ssItem(sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(sK8)
| ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0) ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f347,plain,
! [X0] :
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(sK8)
| ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0) ),
inference(forward_subsumption_resolution,[],[f345,f144]) ).
fof(f351,plain,
! [X0] :
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0) ),
inference(forward_subsumption_resolution,[],[f347,f147]) ).
fof(f353,definition,
( spl16_24
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| leq(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_24])],[avatar_definition]) ).
fof(f354,plain,
( ! [X0] :
( ~ memberP(app(app(sK6,cons(sK4,nil)),sK7),X0)
| ~ ssItem(X0)
| leq(X0,sK5) )
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f355,plain,
( spl16_24
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f351,f260,f353]) ).
fof(f380,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl16_7 ),
inference(superposition,[],[f261,f172]) ).
fof(f381,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl16_7 ),
inference(forward_subsumption_resolution,[],[f380,f146]) ).
fof(f383,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(cons(sK4,nil))
| spl16_7 ),
inference(forward_subsumption_resolution,[],[f381,f145]) ).
fof(f386,definition,
( spl16_26
<=> ssList(app(sK6,app(cons(sK4,nil),sK7))) ),
introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).
fof(f387,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| spl16_26 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ spl16_22
| ~ spl16_26
| spl16_7 ),
inference(avatar_split_clause,[],[f383,f260,f386,f319]) ).
fof(f422,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(sK7,X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(X0) )
| ~ spl16_24 ),
inference(resolution,[],[f354,f185]) ).
fof(f423,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(X0) )
| ~ spl16_24 ),
inference(resolution,[],[f354,f186]) ).
fof(f425,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_24 ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f426,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(sK7,X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_24 ),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f428,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_24 ),
inference(forward_subsumption_resolution,[],[f425,f146]) ).
fof(f429,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sK5)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK6,cons(sK4,nil))) )
| ~ spl16_24 ),
inference(forward_subsumption_resolution,[],[f426,f146]) ).
fof(f432,definition,
( spl16_29
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| leq(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_29])],[avatar_definition]) ).
fof(f433,plain,
( ! [X0] :
( ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssItem(X0)
| leq(X0,sK5) )
| ~ spl16_29 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( ~ spl16_20
| spl16_29
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f428,f353,f432,f311]) ).
fof(f436,definition,
( spl16_30
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sK7,X0)
| leq(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_30])],[avatar_definition]) ).
fof(f437,plain,
( ! [X0] :
( leq(X0,sK5)
| ~ memberP(sK7,X0)
| ~ ssItem(X0) )
| ~ spl16_30 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f438,plain,
( ~ spl16_20
| spl16_30
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f429,f353,f436,f311]) ).
fof(f468,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,app(cons(sK5,nil),sK8)))
| ~ ssList(app(cons(sK5,nil),sK8))
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_9 ),
inference(superposition,[],[f267,f172]) ).
fof(f483,definition,
( spl16_34
<=> ssList(app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl16_34])],[avatar_definition]) ).
fof(f484,plain,
( ~ ssList(app(cons(sK5,nil),sK8))
| spl16_34 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f511,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,app(cons(sK5,nil),sK8)))
| ~ ssList(app(cons(sK5,nil),sK8))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_9 ),
inference(forward_subsumption_resolution,[],[f468,f146]) ).
fof(f516,definition,
( spl16_41
<=> sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,app(cons(sK5,nil),sK8))) ),
introduced(definition,[new_symbols(definition,[spl16_41])],[avatar_definition]) ).
fof(f517,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,app(cons(sK5,nil),sK8)))
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f519,plain,
( ~ spl16_20
| ~ spl16_34
| spl16_41
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f511,f266,f516,f483,f311]) ).
fof(f645,definition,
( spl16_56
<=> ssList(app(cons(sK4,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl16_56])],[avatar_definition]) ).
fof(f646,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| spl16_56 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f656,plain,
( ~ ssList(cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| spl16_34 ),
inference(superposition,[],[f484,f173]) ).
fof(f659,plain,
( ~ ssItem(sK5)
| ~ ssList(sK8)
| spl16_34 ),
inference(forward_subsumption_resolution,[],[f656,f167]) ).
fof(f662,plain,
( ~ ssList(sK8)
| spl16_34 ),
inference(forward_subsumption_resolution,[],[f659,f144]) ).
fof(f665,plain,
( $false
| spl16_34 ),
inference(forward_subsumption_resolution,[],[f662,f147]) ).
fof(f666,plain,
spl16_34,
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f756,plain,
( ~ ssList(cons(sK4,sK7))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| spl16_56 ),
inference(superposition,[],[f646,f173]) ).
fof(f759,plain,
( ~ ssItem(sK4)
| ~ ssList(sK7)
| spl16_56 ),
inference(forward_subsumption_resolution,[],[f756,f167]) ).
fof(f762,plain,
( ~ ssList(sK7)
| spl16_56 ),
inference(forward_subsumption_resolution,[],[f759,f143]) ).
fof(f765,plain,
( $false
| spl16_56 ),
inference(forward_subsumption_resolution,[],[f762,f146]) ).
fof(f766,plain,
spl16_56,
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f1185,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| ~ ssList(sK6)
| spl16_26 ),
inference(resolution,[],[f387,f178]) ).
fof(f1190,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| spl16_26 ),
inference(forward_subsumption_resolution,[],[f1185,f145]) ).
fof(f1193,plain,
( ~ spl16_56
| spl16_26 ),
inference(avatar_split_clause,[],[f1190,f386,f645]) ).
fof(f1197,plain,
( ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_29 ),
inference(resolution,[],[f433,f197]) ).
fof(f1198,plain,
( ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_29 ),
inference(duplicate_literal_removal,[],[f1197]) ).
fof(f1201,plain,
( leq(sK4,sK5)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f1198,f143]) ).
fof(f1216,plain,
( leq(sK4,sK5)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f1201,f145]) ).
fof(f1217,plain,
( leq(sK4,sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f1216,f179]) ).
fof(f1219,plain,
( ~ spl16_20
| spl16_1
| ~ spl16_29 ),
inference(avatar_split_clause,[],[f1217,f432,f201,f311]) ).
fof(f1221,plain,
( ! [X0] :
( ~ leq(sK9,X0)
| ~ leq(X0,sK5)
| ~ ssItem(sK5)
| ~ ssItem(X0)
| ~ ssItem(sK9) )
| spl16_3 ),
inference(resolution,[],[f209,f192]) ).
fof(f1222,plain,
( ! [X0] :
( ~ leq(sK9,X0)
| ~ leq(X0,sK5)
| ~ ssItem(X0)
| ~ ssItem(sK9) )
| spl16_3 ),
inference(forward_subsumption_resolution,[],[f1221,f144]) ).
fof(f1224,plain,
( ! [X0] :
( ~ leq(sK9,X0)
| ~ leq(X0,sK5)
| ~ ssItem(X0) )
| ~ spl16_2
| spl16_3 ),
inference(forward_subsumption_resolution,[],[f1222,f205]) ).
fof(f1244,plain,
( ! [X0] :
( ~ leq(sK9,X0)
| ~ leq(X0,sK4)
| ~ ssItem(X0) )
| ~ spl16_2
| spl16_3
| ~ spl16_6 ),
inference(forward_demodulation,[],[f1224,f223]) ).
fof(f1250,plain,
( ~ leq(sK5,sK4)
| ~ ssItem(sK5)
| ~ memberP(sK7,sK9)
| ~ ssItem(sK9)
| ~ spl16_2
| spl16_3
| ~ spl16_6
| ~ spl16_30 ),
inference(resolution,[],[f1244,f437]) ).
fof(f1253,plain,
( ~ ssItem(sK5)
| ~ memberP(sK7,sK9)
| ~ ssItem(sK9)
| ~ spl16_2
| spl16_3
| ~ spl16_6
| ~ spl16_30 ),
inference(forward_subsumption_resolution,[],[f1250,f151]) ).
fof(f1255,plain,
( ~ memberP(sK7,sK9)
| ~ ssItem(sK9)
| ~ spl16_2
| spl16_3
| ~ spl16_6
| ~ spl16_30 ),
inference(forward_subsumption_resolution,[],[f1253,f144]) ).
fof(f1256,plain,
( ~ ssItem(sK9)
| ~ spl16_2
| spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_30 ),
inference(forward_subsumption_resolution,[],[f1255,f216]) ).
fof(f1257,plain,
( $false
| ~ spl16_2
| spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_30 ),
inference(forward_subsumption_resolution,[],[f1256,f205]) ).
fof(f1258,plain,
( ~ spl16_2
| spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_30 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1352,definition,
( spl16_94
<=> ssList(cons(sK4,sK8)) ),
introduced(definition,[new_symbols(definition,[spl16_94])],[avatar_definition]) ).
fof(f1353,plain,
( ~ ssList(cons(sK4,sK8))
| spl16_94 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1380,definition,
( spl16_100
<=> sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,cons(sK4,sK8))) ),
introduced(definition,[new_symbols(definition,[spl16_100])],[avatar_definition]) ).
fof(f1381,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,cons(sK4,sK8)))
| ~ spl16_100 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1389,plain,
( ~ ssItem(sK4)
| ~ ssList(sK8)
| spl16_94 ),
inference(resolution,[],[f1353,f167]) ).
fof(f1390,plain,
( ~ ssList(sK8)
| spl16_94 ),
inference(forward_subsumption_resolution,[],[f1389,f143]) ).
fof(f1391,plain,
( $false
| spl16_94 ),
inference(forward_subsumption_resolution,[],[f1390,f147]) ).
fof(f1392,plain,
spl16_94,
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1535,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,app(cons(sK4,nil),sK8)))
| ~ spl16_6
| ~ spl16_41 ),
inference(forward_demodulation,[],[f517,f223]) ).
fof(f1682,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,cons(sK4,sK8)))
| ~ ssItem(sK4)
| ~ ssList(sK8)
| ~ spl16_6
| ~ spl16_41 ),
inference(superposition,[],[f1535,f173]) ).
fof(f1731,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,cons(sK4,sK8)))
| ~ ssList(sK8)
| ~ spl16_6
| ~ spl16_41 ),
inference(forward_subsumption_resolution,[],[f1682,f143]) ).
fof(f1739,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(sK7,cons(sK4,sK8)))
| ~ spl16_6
| ~ spl16_41 ),
inference(forward_subsumption_resolution,[],[f1731,f147]) ).
fof(f1745,plain,
( spl16_100
| ~ spl16_6
| ~ spl16_41 ),
inference(avatar_split_clause,[],[f1739,f516,f222,f1380]) ).
fof(f2606,plain,
( ssList(cons(sK4,sK8))
| ~ spl16_94 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f3414,plain,
( ! [X0] :
( sK0 != sK0
| ~ ssItem(sK4)
| ~ ssList(sK6)
| ~ ssList(app(sK7,cons(sK4,sK8)))
| ~ ssItem(X0)
| leq(sK4,X0)
| ~ memberP(app(sK7,cons(sK4,sK8)),X0) )
| ~ spl16_100 ),
inference(superposition,[],[f334,f1381]) ).
fof(f3418,plain,
( ! [X0] :
( ~ ssItem(sK4)
| ~ ssList(sK6)
| ~ ssList(app(sK7,cons(sK4,sK8)))
| ~ ssItem(X0)
| leq(sK4,X0)
| ~ memberP(app(sK7,cons(sK4,sK8)),X0) )
| ~ spl16_100 ),
inference(trivial_inequality_removal,[],[f3414]) ).
fof(f3420,plain,
( ! [X0] :
( ~ ssList(sK6)
| ~ ssList(app(sK7,cons(sK4,sK8)))
| ~ ssItem(X0)
| leq(sK4,X0)
| ~ memberP(app(sK7,cons(sK4,sK8)),X0) )
| ~ spl16_100 ),
inference(forward_subsumption_resolution,[],[f3418,f143]) ).
fof(f3422,definition,
( spl16_278
<=> ssList(app(sK7,cons(sK4,sK8))) ),
introduced(definition,[new_symbols(definition,[spl16_278])],[avatar_definition]) ).
fof(f3423,plain,
( ~ ssList(app(sK7,cons(sK4,sK8)))
| spl16_278 ),
inference(avatar_component_clause,[],[f3422]) ).
fof(f3451,plain,
( ! [X0] :
( ~ ssList(app(sK7,cons(sK4,sK8)))
| ~ ssItem(X0)
| leq(sK4,X0)
| ~ memberP(app(sK7,cons(sK4,sK8)),X0) )
| ~ spl16_100 ),
inference(forward_subsumption_resolution,[],[f3420,f145]) ).
fof(f3454,definition,
( spl16_285
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sK7,cons(sK4,sK8)),X0)
| leq(sK4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_285])],[avatar_definition]) ).
fof(f3455,plain,
( ! [X0] :
( ~ memberP(app(sK7,cons(sK4,sK8)),X0)
| ~ ssItem(X0)
| leq(sK4,X0) )
| ~ spl16_285 ),
inference(avatar_component_clause,[],[f3454]) ).
fof(f3456,plain,
( spl16_285
| ~ spl16_278
| ~ spl16_100 ),
inference(avatar_split_clause,[],[f3451,f1380,f3422,f3454]) ).
fof(f3519,plain,
( ~ ssList(cons(sK4,sK8))
| ~ ssList(sK7)
| spl16_278 ),
inference(resolution,[],[f3423,f178]) ).
fof(f3520,plain,
( ~ ssList(sK7)
| ~ spl16_94
| spl16_278 ),
inference(forward_subsumption_resolution,[],[f3519,f2606]) ).
fof(f3521,plain,
( $false
| ~ spl16_94
| spl16_278 ),
inference(forward_subsumption_resolution,[],[f3520,f146]) ).
fof(f3522,plain,
( ~ spl16_94
| spl16_278 ),
inference(avatar_contradiction_clause,[],[f3521]) ).
fof(f3715,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(sK4,X0)
| ~ memberP(sK7,X0)
| ~ ssList(cons(sK4,sK8))
| ~ ssList(sK7)
| ~ ssItem(X0) )
| ~ spl16_285 ),
inference(resolution,[],[f3455,f186]) ).
fof(f3718,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(sK4,X0)
| ~ memberP(sK7,X0)
| ~ ssList(cons(sK4,sK8))
| ~ ssList(sK7) )
| ~ spl16_285 ),
inference(duplicate_literal_removal,[],[f3715]) ).
fof(f3720,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(sK4,X0)
| ~ memberP(sK7,X0)
| ~ ssList(sK7) )
| ~ spl16_94
| ~ spl16_285 ),
inference(forward_subsumption_resolution,[],[f3718,f2606]) ).
fof(f3722,plain,
( ! [X0] :
( leq(sK4,X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0) )
| ~ spl16_94
| ~ spl16_285 ),
inference(forward_subsumption_resolution,[],[f3720,f146]) ).
fof(f3724,plain,
( ~ ssItem(sK9)
| ~ memberP(sK7,sK9)
| spl16_4
| ~ spl16_94
| ~ spl16_285 ),
inference(resolution,[],[f3722,f212]) ).
fof(f3744,plain,
( ~ memberP(sK7,sK9)
| ~ spl16_2
| spl16_4
| ~ spl16_94
| ~ spl16_285 ),
inference(forward_subsumption_resolution,[],[f3724,f205]) ).
fof(f3754,plain,
( $false
| ~ spl16_2
| spl16_4
| ~ spl16_5
| ~ spl16_94
| ~ spl16_285 ),
inference(forward_subsumption_resolution,[],[f3744,f216]) ).
fof(f3755,plain,
( ~ spl16_2
| spl16_4
| ~ spl16_5
| ~ spl16_94
| ~ spl16_285 ),
inference(avatar_contradiction_clause,[],[f3754]) ).
cnf(s1,plain,
( ~ spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f206]) ).
cnf(s2,plain,
( ~ spl16_1
| ~ spl16_3
| ~ spl16_4 ),
inference(sat_conversion,[],[f213]) ).
cnf(s3,plain,
( ~ spl16_1
| spl16_5 ),
inference(sat_conversion,[],[f217]) ).
cnf(s4,plain,
( ~ spl16_1
| spl16_6 ),
inference(sat_conversion,[],[f224]) ).
cnf(s16,plain,
( ~ spl16_7
| ~ spl16_8
| spl16_9 ),
inference(sat_conversion,[],[f309]) ).
cnf(s19,plain,
spl16_8,
inference(sat_conversion,[],[f328]) ).
cnf(s20,plain,
spl16_22,
inference(sat_conversion,[],[f333]) ).
cnf(s21,plain,
( spl16_20
| ~ spl16_22 ),
inference(sat_conversion,[],[f337]) ).
cnf(s22,plain,
( ~ spl16_7
| spl16_24 ),
inference(sat_conversion,[],[f355]) ).
cnf(s25,plain,
( spl16_7
| ~ spl16_22
| ~ spl16_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s29,plain,
( ~ spl16_20
| ~ spl16_24
| spl16_29 ),
inference(sat_conversion,[],[f434]) ).
cnf(s30,plain,
( ~ spl16_20
| ~ spl16_24
| spl16_30 ),
inference(sat_conversion,[],[f438]) ).
cnf(s43,plain,
( ~ spl16_9
| ~ spl16_20
| ~ spl16_34
| spl16_41 ),
inference(sat_conversion,[],[f519]) ).
cnf(s68,plain,
spl16_34,
inference(sat_conversion,[],[f666]) ).
cnf(s86,plain,
spl16_56,
inference(sat_conversion,[],[f766]) ).
cnf(s124,plain,
( spl16_26
| ~ spl16_56 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s128,plain,
( spl16_1
| ~ spl16_20
| ~ spl16_29 ),
inference(sat_conversion,[],[f1219]) ).
cnf(s129,plain,
( ~ spl16_2
| spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_30 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s142,plain,
spl16_94,
inference(sat_conversion,[],[f1392]) ).
cnf(s194,plain,
( ~ spl16_6
| ~ spl16_41
| spl16_100 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s456,plain,
( ~ spl16_100
| ~ spl16_278
| spl16_285 ),
inference(sat_conversion,[],[f3456]) ).
cnf(s466,plain,
( ~ spl16_94
| spl16_278 ),
inference(sat_conversion,[],[f3522]) ).
cnf(s490,plain,
( ~ spl16_2
| spl16_4
| ~ spl16_5
| ~ spl16_94
| ~ spl16_285 ),
inference(sat_conversion,[],[f3755]) ).
cnf(s533,plain,
spl16_278,
inference(rat,[],[s466,s142]) ).
cnf(s545,plain,
spl16_26,
inference(rat,[],[s124,s86]) ).
cnf(s550,plain,
( ~ spl16_9
| ~ spl16_20
| spl16_41 ),
inference(rat,[],[s43,s68]) ).
cnf(s560,plain,
( spl16_7
| ~ spl16_22 ),
inference(rat,[],[s25,s545]) ).
cnf(s568,plain,
spl16_7,
inference(rat,[],[s560,s20]) ).
cnf(s569,plain,
spl16_20,
inference(rat,[],[s21,s20]) ).
cnf(s574,plain,
spl16_24,
inference(rat,[],[s22,s568]) ).
cnf(s578,plain,
spl16_30,
inference(rat,[],[s30,s569,s574]) ).
cnf(s579,plain,
spl16_29,
inference(rat,[],[s29,s569,s574]) ).
cnf(s582,plain,
spl16_1,
inference(rat,[],[s128,s569,s579]) ).
cnf(s603,plain,
spl16_9,
inference(rat,[],[s16,s19,s568]) ).
cnf(s604,plain,
spl16_41,
inference(rat,[],[s550,s569,s603]) ).
cnf(s643,plain,
spl16_6,
inference(rat,[],[s4,s582]) ).
cnf(s769,plain,
spl16_100,
inference(rat,[],[s194,s604,s643]) ).
cnf(s805,plain,
spl16_285,
inference(rat,[],[s456,s533,s769]) ).
cnf(s814,plain,
spl16_5,
inference(rat,[],[s3,s582]) ).
cnf(s815,plain,
( ~ spl16_3
| ~ spl16_4 ),
inference(rat,[],[s2,s582]) ).
cnf(s816,plain,
spl16_2,
inference(rat,[],[s1,s582]) ).
cnf(s817,plain,
spl16_4,
inference(rat,[],[s490,s805,s142,s814,s816]) ).
cnf(s818,plain,
spl16_3,
inference(rat,[],[s129,s578,s643,s814,s816]) ).
cnf(s819,plain,
$false,
inference(rat,[],[s815,s817,s818]) ).
fof(f3758,plain,
$false,
inference(avatar_sat_refutation,[],[s819]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC155+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 08:15:47 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 8.69/2.12 % (2466510)Detected formulas, will run a generic FOF schedule.
% 8.69/2.12 % (2466521)dis-21_1_sil=8000:lcm=predicate:random_seed=928472044: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)
% 8.69/2.12 % (2466521)Instruction limit reached!
% 8.69/2.12 % (2466521)------------------------------
% 8.69/2.12 % (2466521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466521)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466521)Termination reason: Instruction limit
% 8.69/2.12 % (2466521)Termination phase: Saturation
% 8.69/2.12 % (2466521)Time elapsed: 0.039 s
% 8.69/2.12 % (2466521)Peak memory usage: 91 MB
% 8.69/2.12 % (2466521)Instructions burned: 131 (million)
% 8.69/2.12 % (2466520)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1536754955:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.69/2.12 % (2466515)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=1306165268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.69/2.12 % (2466517)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=2908367772:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.69/2.12 % (2466518)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3033037075:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.69/2.12 % (2466519)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2200898390:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.69/2.12 % (2466516)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=1353401687:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.69/2.12 % (2466519)Instruction limit reached!
% 8.69/2.12 % (2466519)------------------------------
% 8.69/2.12 % (2466519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466519)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466519)Termination reason: Instruction limit
% 8.69/2.12 % (2466519)Termination phase: Saturation
% 8.69/2.12 % (2466519)Time elapsed: 0.070 s
% 8.69/2.12 % (2466519)Peak memory usage: 88 MB
% 8.69/2.12 % (2466519)Instructions burned: 121 (million)
% 8.69/2.12 % (2466518)Instruction limit reached!
% 8.69/2.12 % (2466518)------------------------------
% 8.69/2.12 % (2466518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466518)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466518)Termination reason: Instruction limit
% 8.69/2.12 % (2466518)Termination phase: Saturation
% 8.69/2.12 % (2466518)Time elapsed: 0.072 s
% 8.69/2.12 % (2466518)Peak memory usage: 90 MB
% 8.69/2.12 % (2466518)Instructions burned: 110 (million)
% 8.69/2.12 % (2466520)Instruction limit reached!
% 8.69/2.12 % (2466520)------------------------------
% 8.69/2.12 % (2466520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466520)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466520)Termination reason: Instruction limit
% 8.69/2.12 % (2466520)Termination phase: Saturation
% 8.69/2.12 % (2466520)Time elapsed: 0.092 s
% 8.69/2.12 % (2466520)Peak memory usage: 90 MB
% 8.69/2.12 % (2466520)Instructions burned: 140 (million)
% 8.69/2.12 % (2466523)lrs+10_1_sil=8000:sp=occurrence:random_seed=2898742916:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.69/2.12 % (2466523)Instruction limit reached!
% 8.69/2.12 % (2466523)------------------------------
% 8.69/2.12 % (2466523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466523)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466523)Termination reason: Instruction limit
% 8.69/2.12 % (2466523)Termination phase: Saturation
% 8.69/2.12 % (2466523)Time elapsed: 0.093 s
% 8.69/2.12 % (2466523)Peak memory usage: 93 MB
% 8.69/2.12 % (2466523)Instructions burned: 286 (million)
% 8.69/2.12 % (2466531)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3413348646:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.69/2.12 % (2466530)lrs+10_1_sil=32000:urr=on:br=off:random_seed=228509227:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.69/2.12 % (2466532)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=3569717790:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.69/2.12 % (2466530)Instruction limit reached!
% 8.69/2.12 % (2466530)------------------------------
% 8.69/2.12 % (2466530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466530)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466530)Termination reason: Instruction limit
% 8.69/2.12 % (2466530)Termination phase: Saturation
% 8.69/2.12 % (2466530)Time elapsed: 0.087 s
% 8.69/2.12 % (2466530)Peak memory usage: 95 MB
% 8.69/2.12 % (2466530)Instructions burned: 157 (million)
% 8.69/2.12 % (2466534)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2332524462:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.69/2.12 % (2466532)Instruction limit reached!
% 8.69/2.12 % (2466532)------------------------------
% 8.69/2.12 % (2466532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466532)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466532)Termination reason: Instruction limit
% 8.69/2.12 % (2466532)Termination phase: Saturation
% 8.69/2.12 % (2466532)Time elapsed: 0.119 s
% 8.69/2.12 % (2466532)Peak memory usage: 95 MB
% 8.69/2.12 % (2466532)Instructions burned: 250 (million)
% 8.69/2.12 % (2466534)Instruction limit reached!
% 8.69/2.12 % (2466534)------------------------------
% 8.69/2.12 % (2466534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466534)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466534)Termination reason: Instruction limit
% 8.69/2.12 % (2466534)Termination phase: Saturation
% 8.69/2.12 % (2466534)Time elapsed: 0.095 s
% 8.69/2.12 % (2466534)Peak memory usage: 90 MB
% 8.69/2.12 % (2466534)Instructions burned: 298 (million)
% 8.69/2.12 % (2466531)Instruction limit reached!
% 8.69/2.12 % (2466531)------------------------------
% 8.69/2.12 % (2466531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466531)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466531)Termination reason: Instruction limit
% 8.69/2.12 % (2466531)Termination phase: Saturation
% 8.69/2.12 % (2466531)Time elapsed: 0.201 s
% 8.69/2.12 % (2466531)Peak memory usage: 91 MB
% 8.69/2.12 % (2466531)Instructions burned: 325 (million)
% 8.69/2.12 % (2466538)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3742992008:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.69/2.12 % (2466540)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3006542505:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.69/2.12 % (2466541)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=106463632:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.69/2.12 % (2466541)Instruction limit reached!
% 8.69/2.12 % (2466541)------------------------------
% 8.69/2.12 % (2466541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466541)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466541)Termination reason: Instruction limit
% 8.69/2.12 % (2466541)Termination phase: Saturation
% 8.69/2.12 % (2466541)Time elapsed: 0.035 s
% 8.69/2.12 % (2466541)Peak memory usage: 90 MB
% 8.69/2.12 % (2466541)Instructions burned: 131 (million)
% 8.69/2.12 % (2466542)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=80554269:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.69/2.12 % (2466540)Instruction limit reached!
% 8.69/2.12 % (2466540)------------------------------
% 8.69/2.12 % (2466540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466540)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466540)Termination reason: Instruction limit
% 8.69/2.12 % (2466540)Termination phase: Saturation
% 8.69/2.12 % (2466540)Time elapsed: 0.080 s
% 8.69/2.12 % (2466540)Peak memory usage: 90 MB
% 8.69/2.12 % (2466540)Instructions burned: 114 (million)
% 8.69/2.12 % (2466542)Instruction limit reached!
% 8.69/2.12 % (2466542)------------------------------
% 8.69/2.12 % (2466542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466542)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466542)Termination reason: Instruction limit
% 8.69/2.12 % (2466542)Termination phase: Saturation
% 8.69/2.12 % (2466542)Time elapsed: 0.066 s
% 8.69/2.12 % (2466542)Peak memory usage: 89 MB
% 8.69/2.12 % (2466542)Instructions burned: 114 (million)
% 8.69/2.12 % (2466546)lrs+10_1_sil=8000:sp=occurrence:random_seed=3570413289:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.69/2.12 % (2466548)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2438971985:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.69/2.12 % (2466549)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2642872274:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.69/2.12 % (2466548)First to succeed.
% 8.69/2.12 % (2466548)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2466510"
% 8.69/2.12 % (2466517)Also succeeded, but the first one will report.
% 8.69/2.12 % (2466546)Instruction limit reached!
% 8.69/2.12 % (2466546)------------------------------
% 8.69/2.12 % (2466546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (2466546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (2466546)CaDiCaL version: 2.1.3
% 8.69/2.12 % (2466546)Termination reason: Instruction limit
% 8.69/2.12 % (2466546)Termination phase: Saturation
% 8.69/2.12 % (2466546)Time elapsed: 0.265 s
% 8.69/2.12 % (2466546)Peak memory usage: 100 MB
% 8.69/2.12 % (2466546)Instructions burned: 909 (million)
% 8.69/2.12 % (2466548)Refutation found. Thanks to Tanya!
% 8.69/2.12 % SZS status Theorem for theBenchmark
% 8.69/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.31 % (2466548)------------------------------
% 0.19/2.31 % (2466548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.31 % (2466548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.31 % (2466548)CaDiCaL version: 2.1.3
% 0.19/2.31 % (2466548)Termination reason: Refutation
% 0.19/2.31 % (2466548)Time elapsed: 0.078 s
% 0.19/2.31 % (2466548)Peak memory usage: 91 MB
% 0.19/2.31 % (2466548)Instructions burned: 121 (million)
% 0.19/2.31 % (2466548)------------------------------
% 0.19/2.31 % (2466548)------------------------------
% 0.19/2.31 % (2466510)Success in time 1.257 s
% 0.19/2.31 % Vampire exiting
%------------------------------------------------------------------------------