TSTP Solution File: SWC188+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC188+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:49:15 EDT 2024
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 32
% Syntax : Number of formulae : 167 ( 14 unt; 0 def)
% Number of atoms : 990 ( 213 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 1328 ( 505 ~; 505 |; 243 &)
% ( 19 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 262 ( 156 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f816,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f243,f365,f369,f373,f378,f476,f512,f592,f683,f686,f801]) ).
fof(f801,plain,
( ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28
| ~ spl15_31 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f800,plain,
( $false
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28
| ~ spl15_31 ),
inference(subsumption_resolution,[],[f773,f682]) ).
fof(f682,plain,
( sK4 = sK5
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl15_31
<=> sK4 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f773,plain,
( sK4 != sK5
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(superposition,[],[f166,f771]) ).
fof(f771,plain,
( sK4 = sK6
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f770,f197]) ).
fof(f197,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax17) ).
fof(f770,plain,
( sK4 = sK6
| ~ ssList(nil)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f768,f162]) ).
fof(f162,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( ( nil = sK2
& nil = sK3 )
| ( ! [X5] :
( ~ leq(X5,sK4)
| ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5) )
& memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) )
& sK5 != sK6
& sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
& ssList(sK8)
& ssList(sK7)
& ssItem(sK6)
& ssItem(sK5)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f100,f136,f135,f134,f133,f132,f131,f130,f129,f128]) ).
fof(f128,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X3] :
( ( ( nil = sK2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( ( nil = sK2
& nil = sK3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) )
=> ( ! [X5] :
( ~ leq(X5,sK4)
| ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5) )
& memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = sK0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
=> ( ? [X7] :
( ? [X8] :
( ? [X9] :
( sK5 != X7
& sK0 = app(app(app(X8,cons(sK5,nil)),cons(X7,nil)),X9)
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X7] :
( ? [X8] :
( ? [X9] :
( sK5 != X7
& sK0 = app(app(app(X8,cons(sK5,nil)),cons(X7,nil)),X9)
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
=> ( ? [X8] :
( ? [X9] :
( sK5 != sK6
& sK0 = app(app(app(X8,cons(sK5,nil)),cons(sK6,nil)),X9)
& ssList(X9) )
& ssList(X8) )
& ssItem(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X8] :
( ? [X9] :
( sK5 != sK6
& sK0 = app(app(app(X8,cons(sK5,nil)),cons(sK6,nil)),X9)
& ssList(X9) )
& ssList(X8) )
=> ( ? [X9] :
( sK5 != sK6
& sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X9)
& ssList(X9) )
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X9] :
( sK5 != sK6
& sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X9)
& ssList(X9) )
=> ( sK5 != sK6
& sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( X6 != X7
& app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) = X0
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( X6 = X7
| app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) != X0 ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ssItem(X8)
=> ( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( X4 = X5
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ssItem(X8)
=> ( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( X4 = X5
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',co1) ).
fof(f768,plain,
( ~ ssItem(sK6)
| sK4 = sK6
| ~ ssList(nil)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(duplicate_literal_removal,[],[f767]) ).
fof(f767,plain,
( ~ ssItem(sK6)
| sK4 = sK6
| ~ ssList(nil)
| ~ ssItem(sK6)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(resolution,[],[f752,f220]) ).
fof(f220,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax37) ).
fof(f752,plain,
( ! [X0] :
( ~ memberP(cons(sK6,nil),X0)
| ~ ssItem(X0)
| sK4 = X0 )
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f751,f198]) ).
fof(f198,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax38) ).
fof(f751,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0)
| sK4 = X0
| memberP(nil,X0) )
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f750,f242]) ).
fof(f242,plain,
( ssItem(sK4)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl15_5
<=> ssItem(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f750,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0)
| sK4 = X0
| memberP(nil,X0)
| ~ ssItem(sK4) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f749,f197]) ).
fof(f749,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0)
| sK4 = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sK4) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(duplicate_literal_removal,[],[f746]) ).
fof(f746,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0)
| sK4 = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(resolution,[],[f745,f199]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f745,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f744,f277]) ).
fof(f277,plain,
( ssList(cons(sK6,nil))
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl15_8
<=> ssList(cons(sK6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f744,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0)
| ~ ssList(cons(sK6,nil)) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f743,f164]) ).
fof(f164,plain,
ssList(sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f743,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0)
| ~ ssList(sK8)
| ~ ssList(cons(sK6,nil)) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(duplicate_literal_removal,[],[f740]) ).
fof(f740,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK6,nil),X0)
| ~ ssList(sK8)
| ~ ssList(cons(sK6,nil))
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(resolution,[],[f656,f203]) ).
fof(f203,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax36) ).
fof(f656,plain,
( ! [X0] :
( ~ memberP(app(cons(sK6,nil),sK8),X0)
| memberP(cons(sK4,nil),X0)
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f655,f288]) ).
fof(f288,plain,
( ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl15_10
<=> ssList(app(sK7,cons(sK5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f655,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ memberP(app(cons(sK6,nil),sK8),X0)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f638,f582]) ).
fof(f582,plain,
( ssList(app(cons(sK6,nil),sK8))
| ~ spl15_28 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl15_28
<=> ssList(app(cons(sK6,nil),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f638,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ memberP(app(cons(sK6,nil),sK8),X0)
| ~ ssList(app(cons(sK6,nil),sK8))
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10 ),
inference(superposition,[],[f204,f524]) ).
fof(f524,plain,
( cons(sK4,nil) = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10 ),
inference(forward_demodulation,[],[f514,f237]) ).
fof(f237,plain,
( sK2 = cons(sK4,nil)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl15_4
<=> sK2 = cons(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f514,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ spl15_8
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f513,f288]) ).
fof(f513,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f284,f277]) ).
fof(f284,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,nil))) ),
inference(subsumption_resolution,[],[f255,f164]) ).
fof(f255,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,nil))) ),
inference(superposition,[],[f212,f190]) ).
fof(f190,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,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(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/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax82) ).
fof(f212,plain,
sK2 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
inference(definition_unfolding,[],[f165,f160]) ).
fof(f160,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f137]) ).
fof(f165,plain,
sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f204,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f166,plain,
sK5 != sK6,
inference(cnf_transformation,[],[f137]) ).
fof(f686,plain,
~ spl15_30,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f684,f161]) ).
fof(f161,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f137]) ).
fof(f684,plain,
( ~ ssItem(sK5)
| ~ spl15_30 ),
inference(resolution,[],[f678,f198]) ).
fof(f678,plain,
( memberP(nil,sK5)
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl15_30
<=> memberP(nil,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f683,plain,
( spl15_30
| spl15_31
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(avatar_split_clause,[],[f674,f581,f287,f276,f240,f235,f680,f676]) ).
fof(f674,plain,
( sK4 = sK5
| memberP(nil,sK5)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f673,f161]) ).
fof(f673,plain,
( sK4 = sK5
| memberP(nil,sK5)
| ~ ssItem(sK5)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f672,f242]) ).
fof(f672,plain,
( sK4 = sK5
| memberP(nil,sK5)
| ~ ssItem(sK4)
| ~ ssItem(sK5)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f671,f197]) ).
fof(f671,plain,
( sK4 = sK5
| memberP(nil,sK5)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssItem(sK5)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(resolution,[],[f670,f199]) ).
fof(f670,plain,
( memberP(cons(sK4,nil),sK5)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f669,f288]) ).
fof(f669,plain,
( memberP(cons(sK4,nil),sK5)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f668,f163]) ).
fof(f163,plain,
ssList(sK7),
inference(cnf_transformation,[],[f137]) ).
fof(f668,plain,
( memberP(cons(sK4,nil),sK5)
| ~ ssList(sK7)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f667,f197]) ).
fof(f667,plain,
( memberP(cons(sK4,nil),sK5)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f660,f161]) ).
fof(f660,plain,
( memberP(cons(sK4,nil),sK5)
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f659,plain,
( memberP(cons(sK4,nil),sK5)
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(resolution,[],[f654,f218]) ).
fof(f218,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f208]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0
& ssList(sK14(X0,X1))
& ssList(sK13(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f151,f153,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK13(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X1] :
( ? [X5] :
( app(sK13(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0
& ssList(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax3) ).
fof(f654,plain,
( ! [X0] :
( ~ memberP(app(sK7,cons(sK5,nil)),X0)
| memberP(cons(sK4,nil),X0)
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f653,f288]) ).
fof(f653,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ memberP(app(sK7,cons(sK5,nil)),X0)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f637,f582]) ).
fof(f637,plain,
( ! [X0] :
( memberP(cons(sK4,nil),X0)
| ~ memberP(app(sK7,cons(sK5,nil)),X0)
| ~ ssList(app(cons(sK6,nil),sK8))
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10 ),
inference(superposition,[],[f203,f524]) ).
fof(f592,plain,
( ~ spl15_8
| spl15_28 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| ~ spl15_8
| spl15_28 ),
inference(subsumption_resolution,[],[f590,f277]) ).
fof(f590,plain,
( ~ ssList(cons(sK6,nil))
| spl15_28 ),
inference(subsumption_resolution,[],[f589,f164]) ).
fof(f589,plain,
( ~ ssList(sK8)
| ~ ssList(cons(sK6,nil))
| spl15_28 ),
inference(resolution,[],[f583,f196]) ).
fof(f196,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax26) ).
fof(f583,plain,
( ~ ssList(app(cons(sK6,nil),sK8))
| spl15_28 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f512,plain,
( ~ spl15_12
| spl15_14
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f511,f225,f309,f298]) ).
fof(f298,plain,
( spl15_12
<=> ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f309,plain,
( spl15_14
<=> nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f225,plain,
( spl15_2
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f511,plain,
( nil != sK2
| nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil))
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil))) ),
inference(subsumption_resolution,[],[f257,f164]) ).
fof(f257,plain,
( nil != sK2
| nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil))
| ~ ssList(sK8)
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil))) ),
inference(superposition,[],[f188,f212]) ).
fof(f188,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax83) ).
fof(f476,plain,
( ~ spl15_10
| ~ spl15_14 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl15_10
| ~ spl15_14 ),
inference(subsumption_resolution,[],[f474,f162]) ).
fof(f474,plain,
( ~ ssItem(sK6)
| ~ spl15_10
| ~ spl15_14 ),
inference(resolution,[],[f437,f198]) ).
fof(f437,plain,
( memberP(nil,sK6)
| ~ spl15_10
| ~ spl15_14 ),
inference(subsumption_resolution,[],[f436,f162]) ).
fof(f436,plain,
( memberP(nil,sK6)
| ~ ssItem(sK6)
| ~ spl15_10
| ~ spl15_14 ),
inference(subsumption_resolution,[],[f435,f288]) ).
fof(f435,plain,
( memberP(nil,sK6)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(sK6)
| ~ spl15_14 ),
inference(subsumption_resolution,[],[f429,f197]) ).
fof(f429,plain,
( memberP(nil,sK6)
| ~ ssList(nil)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(sK6)
| ~ spl15_14 ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f413,plain,
( memberP(nil,sK6)
| ~ ssList(nil)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(sK6)
| ~ ssList(nil)
| ~ spl15_14 ),
inference(superposition,[],[f218,f311]) ).
fof(f311,plain,
( nil = app(app(sK7,cons(sK5,nil)),cons(sK6,nil))
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f378,plain,
( ~ spl15_8
| ~ spl15_10
| spl15_12 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl15_8
| ~ spl15_10
| spl15_12 ),
inference(subsumption_resolution,[],[f376,f288]) ).
fof(f376,plain,
( ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_8
| spl15_12 ),
inference(subsumption_resolution,[],[f374,f277]) ).
fof(f374,plain,
( ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,nil)))
| spl15_12 ),
inference(resolution,[],[f300,f196]) ).
fof(f300,plain,
( ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| spl15_12 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f373,plain,
( ~ spl15_7
| spl15_10 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| ~ spl15_7
| spl15_10 ),
inference(subsumption_resolution,[],[f371,f163]) ).
fof(f371,plain,
( ~ ssList(sK7)
| ~ spl15_7
| spl15_10 ),
inference(subsumption_resolution,[],[f370,f273]) ).
fof(f273,plain,
( ssList(cons(sK5,nil))
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl15_7
<=> ssList(cons(sK5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f370,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(sK7)
| spl15_10 ),
inference(resolution,[],[f289,f196]) ).
fof(f289,plain,
( ~ ssList(app(sK7,cons(sK5,nil)))
| spl15_10 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f369,plain,
spl15_7,
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| spl15_7 ),
inference(subsumption_resolution,[],[f367,f197]) ).
fof(f367,plain,
( ~ ssList(nil)
| spl15_7 ),
inference(subsumption_resolution,[],[f366,f161]) ).
fof(f366,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl15_7 ),
inference(resolution,[],[f274,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086',ax16) ).
fof(f274,plain,
( ~ ssList(cons(sK5,nil))
| spl15_7 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f365,plain,
spl15_8,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| spl15_8 ),
inference(subsumption_resolution,[],[f363,f197]) ).
fof(f363,plain,
( ~ ssList(nil)
| spl15_8 ),
inference(subsumption_resolution,[],[f362,f162]) ).
fof(f362,plain,
( ~ ssItem(sK6)
| ~ ssList(nil)
| spl15_8 ),
inference(resolution,[],[f278,f185]) ).
fof(f278,plain,
( ~ ssList(cons(sK6,nil))
| spl15_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f243,plain,
( spl15_5
| spl15_2 ),
inference(avatar_split_clause,[],[f171,f225,f240]) ).
fof(f171,plain,
( nil = sK2
| ssItem(sK4) ),
inference(cnf_transformation,[],[f137]) ).
fof(f238,plain,
( spl15_4
| spl15_2 ),
inference(avatar_split_clause,[],[f172,f225,f235]) ).
fof(f172,plain,
( nil = sK2
| sK2 = cons(sK4,nil) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC188+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:34:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.q1za6PHCit/Vampire---4.8_31086
% 0.54/0.73 % (31194)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.73 % (31199)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.73 % (31196)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73 % (31198)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.73 % (31195)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.73 % (31197)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.73 % (31200)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.73 % (31201)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.74 % (31194)Instruction limit reached!
% 0.54/0.74 % (31194)------------------------------
% 0.54/0.74 % (31194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (31194)Termination reason: Unknown
% 0.54/0.74 % (31194)Termination phase: Saturation
% 0.54/0.74
% 0.54/0.74 % (31194)Memory used [KB]: 1536
% 0.54/0.74 % (31194)Time elapsed: 0.013 s
% 0.54/0.74 % (31194)Instructions burned: 35 (million)
% 0.54/0.74 % (31194)------------------------------
% 0.54/0.74 % (31194)------------------------------
% 0.54/0.75 % (31199)First to succeed.
% 0.54/0.75 % (31202)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.54/0.75 % (31199)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31193"
% 0.54/0.75 % (31198)Instruction limit reached!
% 0.54/0.75 % (31198)------------------------------
% 0.54/0.75 % (31198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31198)Termination reason: Unknown
% 0.54/0.75 % (31198)Termination phase: Saturation
% 0.54/0.75
% 0.54/0.75 % (31198)Memory used [KB]: 1845
% 0.54/0.75 % (31198)Time elapsed: 0.017 s
% 0.54/0.75 % (31198)Instructions burned: 34 (million)
% 0.54/0.75 % (31198)------------------------------
% 0.54/0.75 % (31198)------------------------------
% 0.54/0.75 % (31199)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Theorem for Vampire---4
% 0.54/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75 % (31199)------------------------------
% 0.54/0.75 % (31199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31199)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (31199)Memory used [KB]: 1371
% 0.54/0.75 % (31199)Time elapsed: 0.016 s
% 0.54/0.75 % (31199)Instructions burned: 33 (million)
% 0.54/0.75 % (31193)Success in time 0.386 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------