%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC285+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:17 PM UTC 2026
% Result : Theorem 6.56s 1.74s
% Output : Refutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 215 ( 32 unt; 14 def)
% Number of atoms : 844 ( 76 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1114 ( 485 ~; 506 |; 67 &)
% ( 24 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 128 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
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(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
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] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| leq(X7,X4) )
& ( ~ memberP(X6,X7)
| leq(X4,X7) ) ) ) ) ) ) )
| ( ~ 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] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| leq(X7,X4) )
& ( ~ memberP(X6,X7)
| leq(X4,X7) ) ) ) ) ) ) )
| ( ~ 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] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ leq(X7,X4) )
| ( memberP(X6,X7)
& ~ leq(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(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] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ leq(X7,X4) )
| ( memberP(X6,X7)
& ~ leq(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(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(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(f135,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f140,plain,
( sK1 = sK3
& sK0 = sK2
& segmentP(sK3,sK2)
& sK0 = app(app(sK5,cons(sK4,nil)),sK6)
& ( ( memberP(sK5,sK7)
& ~ leq(sK7,sK4) )
| ( memberP(sK6,sK7)
& ~ leq(sK4,sK7) ) )
& ssItem(sK7)
& ssList(sK6)
& ssList(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]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[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(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(sK14(X0))
& cons(sK14(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(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,
ssList(sK5),
inference(cnf_transformation,[],[f140]) ).
fof(f168,plain,
ssList(sK6),
inference(cnf_transformation,[],[f140]) ).
fof(f169,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f140]) ).
fof(f170,plain,
( ~ leq(sK7,sK4)
| ~ leq(sK4,sK7) ),
inference(cnf_transformation,[],[f140]) ).
fof(f171,plain,
( ~ leq(sK7,sK4)
| memberP(sK6,sK7) ),
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
( memberP(sK5,sK7)
| memberP(sK6,sK7) ),
inference(cnf_transformation,[],[f140]) ).
fof(f174,plain,
sK0 = app(app(sK5,cons(sK4,nil)),sK6),
inference(cnf_transformation,[],[f140]) ).
fof(f175,plain,
segmentP(sK3,sK2),
inference(cnf_transformation,[],[f140]) ).
fof(f176,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f140]) ).
fof(f177,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f140]) ).
fof(f188,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f199,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f201,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f204,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f205,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f206,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(f208,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f210,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f211,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f217,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK14(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f218,plain,
! [X0] :
( ~ singletonP(X0)
| ssItem(sK14(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f220,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f231,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f234,plain,
sK2 = app(app(sK5,cons(sK4,nil)),sK6),
inference(definition_unfolding,[],[f174,f176]) ).
fof(f235,plain,
ssList(sK3),
inference(definition_unfolding,[],[f162,f177]) ).
fof(f236,plain,
ssList(sK2),
inference(definition_unfolding,[],[f161,f176]) ).
fof(f241,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f208]) ).
fof(f246,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f249,definition,
( spl17_1
<=> neq(sK3,nil) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f250,plain,
( ~ neq(sK3,nil)
| spl17_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,definition,
( spl17_2
<=> singletonP(sK2) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f253,plain,
( singletonP(sK2)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f254,plain,
( ~ spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f165,f252,f249]) ).
fof(f256,definition,
( spl17_3
<=> leq(sK4,sK7) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f257,plain,
( ~ leq(sK4,sK7)
| spl17_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,definition,
( spl17_4
<=> leq(sK7,sK4) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f260,plain,
( ~ leq(sK7,sK4)
| spl17_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( ~ spl17_3
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f170,f259,f256]) ).
fof(f263,definition,
( spl17_5
<=> memberP(sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f264,plain,
( memberP(sK6,sK7)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( spl17_5
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f171,f259,f263]) ).
fof(f267,definition,
( spl17_6
<=> memberP(sK5,sK7) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f268,plain,
( memberP(sK5,sK7)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl17_5
| spl17_6 ),
inference(avatar_split_clause,[],[f173,f267,f263]) ).
fof(f271,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl17_1 ),
inference(resolution,[],[f201,f250]) ).
fof(f272,plain,
( nil = sK3
| ~ ssList(sK3)
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f271,f204]) ).
fof(f273,plain,
( nil = sK3
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f272,f235]) ).
fof(f274,plain,
( segmentP(nil,sK2)
| spl17_1 ),
inference(superposition,[],[f175,f273]) ).
fof(f279,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK6,X0)
| ~ ssList(sK6)
| ~ ssList(app(sK5,cons(sK4,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f210,f234]) ).
fof(f280,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(sK5,cons(sK4,nil)))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f279,f168]) ).
fof(f282,definition,
( spl17_7
<=> ssList(app(sK5,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f283,plain,
( ~ ssList(app(sK5,cons(sK4,nil)))
| spl17_7 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,definition,
( spl17_8
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f286,plain,
( ! [X0] :
( ~ memberP(sK6,X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f287,plain,
( ~ spl17_7
| spl17_8 ),
inference(avatar_split_clause,[],[f280,f285,f282]) ).
fof(f288,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK5)
| spl17_7 ),
inference(resolution,[],[f283,f199]) ).
fof(f289,plain,
( ~ ssList(cons(sK4,nil))
| spl17_7 ),
inference(forward_subsumption_resolution,[],[f288,f167]) ).
fof(f291,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl17_7 ),
inference(resolution,[],[f289,f188]) ).
fof(f293,plain,
( ~ ssList(nil)
| spl17_7 ),
inference(forward_subsumption_resolution,[],[f291,f166]) ).
fof(f294,plain,
( $false
| spl17_7 ),
inference(forward_subsumption_resolution,[],[f293,f204]) ).
fof(f295,plain,
spl17_7,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f296,plain,
( ~ ssItem(sK7)
| memberP(sK2,sK7)
| ~ spl17_5
| ~ spl17_8 ),
inference(resolution,[],[f286,f264]) ).
fof(f297,plain,
( memberP(sK2,sK7)
| ~ spl17_5
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f296,f169]) ).
fof(f298,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(sK5,cons(sK4,nil)),X0)
| ~ ssList(sK6)
| ~ ssList(app(sK5,cons(sK4,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f211,f234]) ).
fof(f299,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(sK5,cons(sK4,nil)),X0)
| ~ ssList(app(sK5,cons(sK4,nil)))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f298,f168]) ).
fof(f301,definition,
( spl17_9
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(app(sK5,cons(sK4,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f302,plain,
( ! [X0] :
( ~ memberP(app(sK5,cons(sK4,nil)),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f303,plain,
( ~ spl17_7
| spl17_9 ),
inference(avatar_split_clause,[],[f299,f301,f282]) ).
fof(f304,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(sK5,X0)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK5)
| ~ ssItem(X0) )
| ~ spl17_9 ),
inference(resolution,[],[f302,f211]) ).
fof(f305,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(cons(sK4,nil),X0)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK5)
| ~ ssItem(X0) )
| ~ spl17_9 ),
inference(resolution,[],[f302,f210]) ).
fof(f306,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(cons(sK4,nil),X0)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK5) )
| ~ spl17_9 ),
inference(duplicate_literal_removal,[],[f305]) ).
fof(f307,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(sK5,X0)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK5) )
| ~ spl17_9 ),
inference(duplicate_literal_removal,[],[f304]) ).
fof(f308,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(cons(sK4,nil),X0)
| ~ ssList(cons(sK4,nil)) )
| ~ spl17_9 ),
inference(forward_subsumption_resolution,[],[f306,f167]) ).
fof(f309,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK2,X0)
| ~ memberP(sK5,X0)
| ~ ssList(cons(sK4,nil)) )
| ~ spl17_9 ),
inference(forward_subsumption_resolution,[],[f307,f167]) ).
fof(f311,definition,
( spl17_10
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f312,plain,
( ~ ssList(cons(sK4,nil))
| spl17_10 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f314,definition,
( spl17_11
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(cons(sK4,nil),X0)
| memberP(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f315,plain,
( ! [X0] :
( ~ memberP(cons(sK4,nil),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f316,plain,
( ~ spl17_10
| spl17_11
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f308,f301,f314,f311]) ).
fof(f318,definition,
( spl17_12
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sK5,X0)
| memberP(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f319,plain,
( ! [X0] :
( ~ memberP(sK5,X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f320,plain,
( ~ spl17_10
| spl17_12
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f309,f301,f318,f311]) ).
fof(f322,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl17_10 ),
inference(resolution,[],[f312,f188]) ).
fof(f324,plain,
( ~ ssList(nil)
| spl17_10 ),
inference(forward_subsumption_resolution,[],[f322,f166]) ).
fof(f325,plain,
( $false
| spl17_10 ),
inference(forward_subsumption_resolution,[],[f324,f204]) ).
fof(f326,plain,
spl17_10,
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f330,plain,
( nil = sK2
| ~ ssList(sK2)
| spl17_1 ),
inference(resolution,[],[f220,f274]) ).
fof(f331,plain,
( nil = sK2
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f330,f236]) ).
fof(f333,plain,
( memberP(nil,sK7)
| spl17_1
| ~ spl17_5
| ~ spl17_8 ),
inference(superposition,[],[f297,f331]) ).
fof(f338,plain,
( ~ ssItem(sK7)
| spl17_1
| ~ spl17_5
| ~ spl17_8 ),
inference(resolution,[],[f333,f205]) ).
fof(f340,plain,
( $false
| spl17_1
| ~ spl17_5
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f338,f169]) ).
fof(f341,plain,
( spl17_1
| ~ spl17_5
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f342,plain,
( ~ ssItem(sK7)
| memberP(sK2,sK7)
| ~ spl17_6
| ~ spl17_12 ),
inference(resolution,[],[f268,f319]) ).
fof(f343,plain,
( memberP(sK2,sK7)
| ~ spl17_6
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f342,f169]) ).
fof(f344,plain,
( memberP(nil,sK7)
| spl17_1
| ~ spl17_6
| ~ spl17_12 ),
inference(forward_demodulation,[],[f343,f331]) ).
fof(f346,plain,
( ~ ssItem(sK7)
| spl17_1
| ~ spl17_6
| ~ spl17_12 ),
inference(resolution,[],[f344,f205]) ).
fof(f348,plain,
( $false
| spl17_1
| ~ spl17_6
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f346,f169]) ).
fof(f349,plain,
( spl17_1
| ~ spl17_6
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f365,plain,
( sK2 = cons(sK14(sK2),nil)
| ~ ssList(sK2)
| ~ spl17_2 ),
inference(resolution,[],[f217,f253]) ).
fof(f366,plain,
( sK2 = cons(sK14(sK2),nil)
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f365,f236]) ).
fof(f370,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK14(sK2) = X0
| ~ ssList(nil)
| ~ ssItem(sK14(sK2))
| ~ ssItem(X0) )
| ~ spl17_2 ),
inference(superposition,[],[f206,f366]) ).
fof(f371,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK14(sK2) = X0
| ~ ssItem(sK14(sK2))
| ~ ssItem(X0) )
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f370,f204]) ).
fof(f374,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK14(sK2) = X0
| ~ ssItem(sK14(sK2))
| ~ ssItem(X0) )
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f371,f205]) ).
fof(f376,definition,
( spl17_13
<=> ssItem(sK14(sK2)) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f377,plain,
( ~ ssItem(sK14(sK2))
| spl17_13 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f387,definition,
( spl17_16
<=> ! [X0] :
( ~ memberP(sK2,X0)
| ~ ssItem(X0)
| sK14(sK2) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition]) ).
fof(f388,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| ~ ssItem(X0)
| sK14(sK2) = X0 )
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( ~ spl17_13
| spl17_16
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f374,f252,f387,f376]) ).
fof(f405,plain,
! [X0] :
( memberP(cons(sK4,X0),sK4)
| ~ ssList(X0) ),
inference(resolution,[],[f246,f166]) ).
fof(f439,plain,
( ssItem(sK14(sK2))
| ~ ssList(sK2)
| ~ spl17_2 ),
inference(resolution,[],[f218,f253]) ).
fof(f441,plain,
( ~ ssList(sK2)
| ~ spl17_2
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f439,f377]) ).
fof(f442,plain,
( $false
| ~ spl17_2
| spl17_13 ),
inference(forward_subsumption_resolution,[],[f441,f236]) ).
fof(f443,plain,
( ~ spl17_2
| spl17_13 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f445,plain,
( ~ ssItem(sK7)
| sK7 = sK14(sK2)
| ~ spl17_5
| ~ spl17_8
| ~ spl17_16 ),
inference(resolution,[],[f388,f297]) ).
fof(f446,plain,
( sK7 = sK14(sK2)
| ~ spl17_5
| ~ spl17_8
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f445,f169]) ).
fof(f447,plain,
( sK2 = cons(sK7,nil)
| ~ spl17_2
| ~ spl17_5
| ~ spl17_8
| ~ spl17_16 ),
inference(superposition,[],[f366,f446]) ).
fof(f452,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK7 = X0
| ~ ssList(nil)
| ~ ssItem(sK7)
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_5
| ~ spl17_8
| ~ spl17_16 ),
inference(superposition,[],[f206,f447]) ).
fof(f453,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK7 = X0
| ~ ssItem(sK7)
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_5
| ~ spl17_8
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f452,f204]) ).
fof(f455,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK7 = X0
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_5
| ~ spl17_8
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f453,f169]) ).
fof(f457,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK7 = X0
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_5
| ~ spl17_8
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f455,f205]) ).
fof(f488,plain,
( ~ ssList(nil)
| ~ ssItem(sK4)
| memberP(sK2,sK4)
| ~ spl17_11 ),
inference(resolution,[],[f405,f315]) ).
fof(f491,plain,
( ~ ssItem(sK4)
| memberP(sK2,sK4)
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f488,f204]) ).
fof(f492,plain,
( memberP(sK2,sK4)
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f491,f166]) ).
fof(f498,plain,
( sK4 = sK7
| ~ ssItem(sK4)
| ~ spl17_2
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(resolution,[],[f492,f457]) ).
fof(f503,plain,
( sK4 = sK7
| ~ spl17_2
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f498,f166]) ).
fof(f507,plain,
( ~ leq(sK7,sK7)
| ~ spl17_2
| spl17_3
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(superposition,[],[f257,f503]) ).
fof(f508,plain,
( ~ leq(sK7,sK7)
| ~ spl17_2
| spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(superposition,[],[f260,f503]) ).
fof(f521,plain,
( ~ ssItem(sK7)
| ~ spl17_2
| spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(resolution,[],[f508,f231]) ).
fof(f523,plain,
( $false
| ~ spl17_2
| spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f521,f169]) ).
fof(f524,plain,
( ~ spl17_2
| spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f526,plain,
( ~ ssItem(sK7)
| ~ spl17_2
| spl17_3
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(resolution,[],[f507,f231]) ).
fof(f528,plain,
( $false
| ~ spl17_2
| spl17_3
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f526,f169]) ).
fof(f529,plain,
( ~ spl17_2
| spl17_3
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f531,plain,
( ~ ssItem(sK7)
| sK7 = sK14(sK2)
| ~ spl17_6
| ~ spl17_12
| ~ spl17_16 ),
inference(resolution,[],[f343,f388]) ).
fof(f532,plain,
( sK7 = sK14(sK2)
| ~ spl17_6
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f531,f169]) ).
fof(f534,plain,
( sK2 = cons(sK7,nil)
| ~ spl17_2
| ~ spl17_6
| ~ spl17_12
| ~ spl17_16 ),
inference(superposition,[],[f366,f532]) ).
fof(f539,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK7 = X0
| ~ ssList(nil)
| ~ ssItem(sK7)
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_6
| ~ spl17_12
| ~ spl17_16 ),
inference(superposition,[],[f206,f534]) ).
fof(f540,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK7 = X0
| ~ ssItem(sK7)
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_6
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f539,f204]) ).
fof(f542,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(nil,X0)
| sK7 = X0
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_6
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f540,f169]) ).
fof(f544,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK7 = X0
| ~ ssItem(X0) )
| ~ spl17_2
| ~ spl17_6
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f542,f205]) ).
fof(f545,plain,
( sK4 = sK7
| ~ ssItem(sK4)
| ~ spl17_2
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16 ),
inference(resolution,[],[f544,f492]) ).
fof(f547,plain,
( sK4 = sK7
| ~ spl17_2
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f545,f166]) ).
fof(f550,plain,
( ~ leq(sK7,sK7)
| ~ spl17_2
| spl17_4
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16 ),
inference(superposition,[],[f260,f547]) ).
fof(f566,plain,
( ~ ssItem(sK7)
| ~ spl17_2
| spl17_4
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16 ),
inference(resolution,[],[f550,f231]) ).
fof(f568,plain,
( $false
| ~ spl17_2
| spl17_4
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_subsumption_resolution,[],[f566,f169]) ).
fof(f569,plain,
( ~ spl17_2
| spl17_4
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16 ),
inference(avatar_contradiction_clause,[],[f568]) ).
cnf(s1,plain,
( ~ spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f254]) ).
cnf(s2,plain,
( ~ spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f261]) ).
cnf(s3,plain,
( ~ spl17_4
| spl17_5 ),
inference(sat_conversion,[],[f265]) ).
cnf(s5,plain,
( spl17_5
| spl17_6 ),
inference(sat_conversion,[],[f270]) ).
cnf(s6,plain,
( ~ spl17_7
| spl17_8 ),
inference(sat_conversion,[],[f287]) ).
cnf(s8,plain,
spl17_7,
inference(sat_conversion,[],[f295]) ).
cnf(s9,plain,
( ~ spl17_7
| spl17_9 ),
inference(sat_conversion,[],[f303]) ).
cnf(s10,plain,
( ~ spl17_9
| ~ spl17_10
| spl17_11 ),
inference(sat_conversion,[],[f316]) ).
cnf(s11,plain,
( ~ spl17_9
| ~ spl17_10
| spl17_12 ),
inference(sat_conversion,[],[f320]) ).
cnf(s13,plain,
spl17_10,
inference(sat_conversion,[],[f326]) ).
cnf(s15,plain,
( spl17_1
| ~ spl17_5
| ~ spl17_8 ),
inference(sat_conversion,[],[f341]) ).
cnf(s17,plain,
( spl17_1
| ~ spl17_6
| ~ spl17_12 ),
inference(sat_conversion,[],[f349]) ).
cnf(s20,plain,
( ~ spl17_2
| ~ spl17_13
| spl17_16 ),
inference(sat_conversion,[],[f389]) ).
cnf(s24,plain,
( ~ spl17_2
| spl17_13 ),
inference(sat_conversion,[],[f443]) ).
cnf(s27,plain,
( ~ spl17_2
| spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(sat_conversion,[],[f524]) ).
cnf(s29,plain,
( ~ spl17_2
| spl17_3
| ~ spl17_5
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(sat_conversion,[],[f529]) ).
cnf(s32,plain,
( ~ spl17_2
| spl17_4
| ~ spl17_6
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16 ),
inference(sat_conversion,[],[f569]) ).
cnf(s33,plain,
( ~ spl17_9
| spl17_12 ),
inference(rat,[],[s11,s13]) ).
cnf(s34,plain,
( ~ spl17_9
| spl17_11 ),
inference(rat,[],[s10,s13]) ).
cnf(s35,plain,
spl17_9,
inference(rat,[],[s9,s8]) ).
cnf(s36,plain,
spl17_12,
inference(rat,[],[s33,s35]) ).
cnf(s37,plain,
spl17_11,
inference(rat,[],[s34,s35]) ).
cnf(s39,plain,
spl17_8,
inference(rat,[],[s6,s8]) ).
cnf(s40,plain,
spl17_1,
inference(rat,[],[s5,s15,s17,s39,s36]) ).
cnf(s41,plain,
spl17_2,
inference(rat,[],[s1,s40]) ).
cnf(s42,plain,
spl17_13,
inference(rat,[],[s24,s41]) ).
cnf(s43,plain,
spl17_16,
inference(rat,[],[s20,s41,s42]) ).
cnf(s46,plain,
spl17_5,
inference(rat,[],[s32,s3,s5,s41,s37,s36,s43]) ).
cnf(s47,plain,
spl17_3,
inference(rat,[],[s29,s41,s37,s39,s43,s46]) ).
cnf(s48,plain,
spl17_4,
inference(rat,[],[s27,s41,s37,s39,s43,s46]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s2,s48,s47]) ).
fof(f570,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC285+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:47:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.56/1.74 % (3407180)Detected formulas, will run a generic FOF schedule.
% 6.56/1.74 % (3407187)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=1462297217:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.56/1.74 % (3407190)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1220168745:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.56/1.74 % (3407188)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3851742154:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.56/1.74 % (3407191)dis-21_1_sil=8000:lcm=predicate:random_seed=3818346879: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)
% 6.56/1.74 % (3407186)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=2653880232:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.56/1.74 % (3407189)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1613051598:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.56/1.74 % (3407185)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=337725820:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.56/1.74 % (3407188)Instruction limit reached!
% 6.56/1.74 % (3407188)------------------------------
% 6.56/1.74 % (3407188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407188)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407188)Termination reason: Instruction limit
% 6.56/1.74 % (3407188)Termination phase: Saturation
% 6.56/1.74 % (3407188)Time elapsed: 0.070 s
% 6.56/1.74 % (3407188)Peak memory usage: 89 MB
% 6.56/1.74 % (3407188)Instructions burned: 110 (million)
% 6.56/1.74 % (3407191)Instruction limit reached!
% 6.56/1.74 % (3407191)------------------------------
% 6.56/1.74 % (3407191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407191)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407191)Termination reason: Instruction limit
% 6.56/1.74 % (3407191)Termination phase: Saturation
% 6.56/1.74 % (3407191)Time elapsed: 0.071 s
% 6.56/1.74 % (3407191)Peak memory usage: 90 MB
% 6.56/1.74 % (3407191)Instructions burned: 130 (million)
% 6.56/1.74 % (3407189)Instruction limit reached!
% 6.56/1.74 % (3407189)------------------------------
% 6.56/1.74 % (3407189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407189)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407189)Termination reason: Instruction limit
% 6.56/1.74 % (3407189)Termination phase: Saturation
% 6.56/1.74 % (3407189)Time elapsed: 0.072 s
% 6.56/1.74 % (3407189)Peak memory usage: 88 MB
% 6.56/1.74 % (3407189)Instructions burned: 119 (million)
% 6.56/1.74 % (3407190)Instruction limit reached!
% 6.56/1.74 % (3407190)------------------------------
% 6.56/1.74 % (3407190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407190)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407190)Termination reason: Instruction limit
% 6.56/1.74 % (3407190)Termination phase: Saturation
% 6.56/1.74 % (3407190)Time elapsed: 0.096 s
% 6.56/1.74 % (3407190)Peak memory usage: 90 MB
% 6.56/1.74 % (3407190)Instructions burned: 140 (million)
% 6.56/1.74 % (3407200)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2045453459:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.56/1.74 % (3407201)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2150242659:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.56/1.74 % (3407199)lrs+10_1_sil=8000:sp=occurrence:random_seed=737086066:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.56/1.74 % (3407202)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=164031463:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.56/1.74 % (3407200)Instruction limit reached!
% 6.56/1.74 % (3407200)------------------------------
% 6.56/1.74 % (3407200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407200)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407200)Termination reason: Instruction limit
% 6.56/1.74 % (3407200)Termination phase: Saturation
% 6.56/1.74 % (3407200)Time elapsed: 0.077 s
% 6.56/1.74 % (3407200)Peak memory usage: 92 MB
% 6.56/1.74 % (3407200)Instructions burned: 158 (million)
% 6.56/1.74 % (3407202)Instruction limit reached!
% 6.56/1.74 % (3407202)------------------------------
% 6.56/1.74 % (3407202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407202)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407202)Termination reason: Instruction limit
% 6.56/1.74 % (3407202)Termination phase: Saturation
% 6.56/1.74 % (3407202)Time elapsed: 0.116 s
% 6.56/1.74 % (3407202)Peak memory usage: 94 MB
% 6.56/1.74 % (3407202)Instructions burned: 249 (million)
% 6.56/1.74 % (3407199)Instruction limit reached!
% 6.56/1.74 % (3407199)------------------------------
% 6.56/1.74 % (3407199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407199)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407199)Termination reason: Instruction limit
% 6.56/1.74 % (3407199)Termination phase: Saturation
% 6.56/1.74 % (3407199)Time elapsed: 0.172 s
% 6.56/1.74 % (3407199)Peak memory usage: 93 MB
% 6.56/1.74 % (3407199)Instructions burned: 285 (million)
% 6.56/1.74 % (3407201)Instruction limit reached!
% 6.56/1.74 % (3407201)------------------------------
% 6.56/1.74 % (3407201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407201)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407201)Termination reason: Instruction limit
% 6.56/1.74 % (3407201)Termination phase: Saturation
% 6.56/1.74 % (3407201)Time elapsed: 0.200 s
% 6.56/1.74 % (3407201)Peak memory usage: 92 MB
% 6.56/1.74 % (3407201)Instructions burned: 325 (million)
% 6.56/1.74 % (3407207)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2231483594:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.56/1.74 % (3407208)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2140333852:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.56/1.74 % (3407209)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2050880913:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.56/1.74 % (3407210)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1060272791:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.56/1.74 % (3407209)Instruction limit reached!
% 6.56/1.74 % (3407209)------------------------------
% 6.56/1.74 % (3407209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407209)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407209)Termination reason: Instruction limit
% 6.56/1.74 % (3407209)Termination phase: Saturation
% 6.56/1.74 % (3407209)Time elapsed: 0.073 s
% 6.56/1.74 % (3407209)Peak memory usage: 90 MB
% 6.56/1.74 % (3407209)Instructions burned: 114 (million)
% 6.56/1.74 % (3407207)Instruction limit reached!
% 6.56/1.74 % (3407207)------------------------------
% 6.56/1.74 % (3407207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407207)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407207)Termination reason: Instruction limit
% 6.56/1.74 % (3407207)Termination phase: Saturation
% 6.56/1.74 % (3407207)Time elapsed: 0.174 s
% 6.56/1.74 % (3407207)Peak memory usage: 90 MB
% 6.56/1.74 % (3407207)Instructions burned: 301 (million)
% 6.56/1.74 % (3407210)Instruction limit reached!
% 6.56/1.74 % (3407210)------------------------------
% 6.56/1.74 % (3407210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407210)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407210)Termination reason: Instruction limit
% 6.56/1.74 % (3407210)Termination phase: Saturation
% 6.56/1.74 % (3407210)Time elapsed: 0.064 s
% 6.56/1.74 % (3407210)Peak memory usage: 90 MB
% 6.56/1.74 % (3407210)Instructions burned: 129 (million)
% 6.56/1.74 % (3407186)First to succeed.
% 6.56/1.74 % (3407186)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3407180"
% 6.56/1.74 % (3407215)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1597087251:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.56/1.74 % (3407217)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=973942694:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.56/1.74 % (3407216)lrs+10_1_sil=8000:sp=occurrence:random_seed=3219545108:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.56/1.74 % (3407215)Instruction limit reached!
% 6.56/1.74 % (3407215)------------------------------
% 6.56/1.74 % (3407215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.56/1.74 % (3407215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.56/1.74 % (3407215)CaDiCaL version: 2.1.3
% 6.56/1.74 % (3407215)Termination reason: Instruction limit
% 6.56/1.74 % (3407215)Termination phase: Saturation
% 6.56/1.74 % (3407215)Time elapsed: 0.067 s
% 6.56/1.74 % (3407215)Peak memory usage: 89 MB
% 6.56/1.74 % (3407215)Instructions burned: 115 (million)
% 6.56/1.74 % (3407185)Also succeeded, but the first one will report.
% 6.56/1.74 % (3407221)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=881067547:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.56/1.74 % (3407186)Refutation found. Thanks to Tanya!
% 6.56/1.74 % SZS status Theorem for theBenchmark
% 6.56/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 8.19/1.93 % (3407186)------------------------------
% 8.19/1.93 % (3407186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.19/1.93 % (3407186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.19/1.93 % (3407186)CaDiCaL version: 2.1.3
% 8.19/1.93 % (3407186)Termination reason: Refutation
% 8.19/1.93 % (3407186)Time elapsed: 0.659 s
% 8.19/1.93 % (3407186)Peak memory usage: 130 MB
% 8.19/1.93 % (3407186)Instructions burned: 984 (million)
% 8.19/1.93 % (3407186)------------------------------
% 8.19/1.93 % (3407186)------------------------------
% 8.19/1.93 % (3407180)Success in time 1.071 s
% 8.19/1.93 % Vampire exiting
%------------------------------------------------------------------------------