TSTP Solution File: SWC190+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC190+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 09:49:16 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 117 ( 13 unt; 0 def)
% Number of atoms : 605 ( 113 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 758 ( 270 ~; 255 |; 177 &)
% ( 12 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 208 ( 111 !; 97 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f493,plain,
$false,
inference(avatar_sat_refutation,[],[f298,f305,f309,f313,f317,f322,f434,f446,f492]) ).
fof(f492,plain,
( ~ spl15_4
| ~ spl15_6
| ~ spl15_15
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl15_4
| ~ spl15_6
| ~ spl15_15
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f490,f160]) ).
fof(f160,plain,
sK5 != sK6,
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X5] :
( ~ memberP(sK2,X5)
| sK4 = X5
| ~ ssItem(X5) )
& 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])],[f99,f130,f129,f128,f127,f126,f125,f124,f123,f122]) ).
fof(f122,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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(f123,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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(f124,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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] :
( ? [X4] :
( ! [X5] :
( ~ memberP(sK2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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(f125,plain,
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(sK2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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) )
=> ( ? [X4] :
( ! [X5] :
( ~ memberP(sK2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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(f126,plain,
( ? [X4] :
( ! [X5] :
( ~ memberP(sK2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
=> ( ! [X5] :
( ~ memberP(sK2,X5)
| sK4 = X5
| ~ ssItem(X5) )
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f127,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(f128,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(f129,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(f130,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(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& 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] :
( ! [X4] :
( ssItem(X4)
=> ? [X5] :
( memberP(X2,X5)
& X4 != X5
& ssItem(X5) ) )
| ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( X6 = X7
| app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9) != X0
| ~ ssList(X9) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X8] :
( ssItem(X8)
=> ? [X9] :
( memberP(X2,X9)
& X8 != X9
& ssItem(X9) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( X4 = X5
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X8] :
( ssItem(X8)
=> ? [X9] :
( memberP(X2,X9)
& X8 != X9
& ssItem(X9) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( X4 = X5
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102',co1) ).
fof(f490,plain,
( sK5 = sK6
| ~ spl15_4
| ~ spl15_6
| ~ spl15_15
| ~ spl15_26 ),
inference(forward_demodulation,[],[f489,f462]) ).
fof(f462,plain,
( sK4 = sK5
| ~ spl15_4
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f461,f155]) ).
fof(f155,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f131]) ).
fof(f461,plain,
( sK4 = sK5
| ~ ssItem(sK5)
| ~ spl15_4
| ~ spl15_26 ),
inference(resolution,[],[f460,f162]) ).
fof(f162,plain,
! [X5] :
( ~ memberP(sK2,X5)
| sK4 = X5
| ~ ssItem(X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f460,plain,
( memberP(sK2,sK5)
| ~ spl15_4
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f459,f238]) ).
fof(f238,plain,
( ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl15_4
<=> ssList(app(sK7,cons(sK5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f459,plain,
( memberP(sK2,sK5)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f458,f157]) ).
fof(f157,plain,
ssList(sK7),
inference(cnf_transformation,[],[f131]) ).
fof(f458,plain,
( memberP(sK2,sK5)
| ~ ssList(sK7)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f457,f185]) ).
fof(f185,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102',ax17) ).
fof(f457,plain,
( memberP(sK2,sK5)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f450,f155]) ).
fof(f450,plain,
( ~ ssItem(sK5)
| memberP(sK2,sK5)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_26 ),
inference(duplicate_literal_removal,[],[f449]) ).
fof(f449,plain,
( ~ ssItem(sK5)
| memberP(sK2,sK5)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_26 ),
inference(resolution,[],[f433,f203]) ).
fof(f203,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,[],[f196]) ).
fof(f196,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,[],[f148]) ).
fof(f148,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])],[f145,f147,f146]) ).
fof(f146,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(f147,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(f145,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,[],[f144]) ).
fof(f144,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,[],[f121]) ).
fof(f121,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/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102',ax3) ).
fof(f433,plain,
( ! [X0] :
( ~ memberP(app(sK7,cons(sK5,nil)),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl15_26
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(app(sK7,cons(sK5,nil)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f489,plain,
( sK4 = sK6
| ~ spl15_4
| ~ spl15_6
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f488,f156]) ).
fof(f156,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f131]) ).
fof(f488,plain,
( sK4 = sK6
| ~ ssItem(sK6)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_15 ),
inference(resolution,[],[f487,f162]) ).
fof(f487,plain,
( memberP(sK2,sK6)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f486,f248]) ).
fof(f248,plain,
( ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl15_6
<=> ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f486,plain,
( memberP(sK2,sK6)
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ spl15_4
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f485,f238]) ).
fof(f485,plain,
( memberP(sK2,sK6)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f484,f185]) ).
fof(f484,plain,
( memberP(sK2,sK6)
| ~ ssList(nil)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f481,f156]) ).
fof(f481,plain,
( ~ ssItem(sK6)
| memberP(sK2,sK6)
| ~ ssList(nil)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ spl15_15 ),
inference(duplicate_literal_removal,[],[f479]) ).
fof(f479,plain,
( ~ ssItem(sK6)
| memberP(sK2,sK6)
| ~ ssList(nil)
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(sK6)
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ spl15_15 ),
inference(resolution,[],[f297,f203]) ).
fof(f297,plain,
( ! [X0] :
( ~ memberP(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl15_15
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f446,plain,
( ~ spl15_2
| spl15_19 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl15_2
| spl15_19 ),
inference(subsumption_resolution,[],[f444,f228]) ).
fof(f228,plain,
( ssList(cons(sK6,nil))
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl15_2
<=> ssList(cons(sK6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f444,plain,
( ~ ssList(cons(sK6,nil))
| spl15_19 ),
inference(subsumption_resolution,[],[f443,f158]) ).
fof(f158,plain,
ssList(sK8),
inference(cnf_transformation,[],[f131]) ).
fof(f443,plain,
( ~ ssList(sK8)
| ~ ssList(cons(sK6,nil))
| spl15_19 ),
inference(resolution,[],[f395,f184]) ).
fof(f184,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,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/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102',ax26) ).
fof(f395,plain,
( ~ ssList(app(cons(sK6,nil),sK8))
| spl15_19 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl15_19
<=> ssList(app(cons(sK6,nil),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f434,plain,
( ~ spl15_19
| spl15_26
| ~ spl15_4
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f430,f241,f237,f432,f393]) ).
fof(f241,plain,
( spl15_5
<=> sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f430,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(sK7,cons(sK5,nil)),X0)
| ~ ssList(app(cons(sK6,nil),sK8))
| ~ ssItem(X0) )
| ~ spl15_4
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f387,f238]) ).
fof(f387,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(sK7,cons(sK5,nil)),X0)
| ~ ssList(app(cons(sK6,nil),sK8))
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ ssItem(X0) )
| ~ spl15_5 ),
inference(superposition,[],[f191,f243]) ).
fof(f243,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f191,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,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,[],[f142]) ).
fof(f142,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,[],[f120]) ).
fof(f120,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/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102',ax36) ).
fof(f322,plain,
( ~ spl15_2
| ~ spl15_4
| spl15_6 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| spl15_6 ),
inference(subsumption_resolution,[],[f320,f238]) ).
fof(f320,plain,
( ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl15_2
| spl15_6 ),
inference(subsumption_resolution,[],[f318,f228]) ).
fof(f318,plain,
( ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,nil)))
| spl15_6 ),
inference(resolution,[],[f249,f184]) ).
fof(f249,plain,
( ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| spl15_6 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f317,plain,
( ~ spl15_1
| spl15_4 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl15_1
| spl15_4 ),
inference(subsumption_resolution,[],[f315,f157]) ).
fof(f315,plain,
( ~ ssList(sK7)
| ~ spl15_1
| spl15_4 ),
inference(subsumption_resolution,[],[f314,f224]) ).
fof(f224,plain,
( ssList(cons(sK5,nil))
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl15_1
<=> ssList(cons(sK5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f314,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(sK7)
| spl15_4 ),
inference(resolution,[],[f239,f184]) ).
fof(f239,plain,
( ~ ssList(app(sK7,cons(sK5,nil)))
| spl15_4 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f313,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f311,f185]) ).
fof(f311,plain,
( ~ ssList(nil)
| spl15_1 ),
inference(subsumption_resolution,[],[f310,f155]) ).
fof(f310,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl15_1 ),
inference(resolution,[],[f225,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,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/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102',ax16) ).
fof(f225,plain,
( ~ ssList(cons(sK5,nil))
| spl15_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f309,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| spl15_2 ),
inference(subsumption_resolution,[],[f307,f185]) ).
fof(f307,plain,
( ~ ssList(nil)
| spl15_2 ),
inference(subsumption_resolution,[],[f306,f156]) ).
fof(f306,plain,
( ~ ssItem(sK6)
| ~ ssList(nil)
| spl15_2 ),
inference(resolution,[],[f229,f173]) ).
fof(f229,plain,
( ~ ssList(cons(sK6,nil))
| spl15_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f305,plain,
( ~ spl15_4
| ~ spl15_2
| spl15_5 ),
inference(avatar_split_clause,[],[f304,f241,f227,f237]) ).
fof(f304,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,[],[f220,f158]) ).
fof(f220,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,[],[f178,f197]) ).
fof(f197,plain,
sK2 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
inference(definition_unfolding,[],[f159,f154]) ).
fof(f154,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f131]) ).
fof(f159,plain,
sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
inference(cnf_transformation,[],[f131]) ).
fof(f178,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(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(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102',ax82) ).
fof(f298,plain,
( ~ spl15_6
| spl15_15 ),
inference(avatar_split_clause,[],[f294,f296,f247]) ).
fof(f294,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X0)
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f218,f158]) ).
fof(f218,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X0)
| ~ ssList(sK8)
| ~ ssList(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f191,f197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC190+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:30:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.gWAmTgwjFc/Vampire---4.8_12102
% 0.59/0.75 % (12362)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)
% 0.59/0.76 % (12356)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)
% 0.59/0.76 % (12358)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76 % (12357)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)
% 0.59/0.76 % (12359)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)
% 0.59/0.76 % (12360)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)
% 0.59/0.76 % (12361)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)
% 0.59/0.76 % (12363)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)
% 0.59/0.76 % (12361)First to succeed.
% 0.59/0.76 % (12363)Refutation not found, incomplete strategy% (12363)------------------------------
% 0.59/0.76 % (12363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (12363)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.77 % (12363)Memory used [KB]: 1150
% 0.59/0.77 % (12363)Time elapsed: 0.007 s
% 0.59/0.77 % (12363)Instructions burned: 5 (million)
% 0.59/0.77 % (12363)------------------------------
% 0.59/0.77 % (12363)------------------------------
% 0.59/0.77 % (12361)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12352"
% 0.59/0.77 % (12361)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (12361)------------------------------
% 0.59/0.77 % (12361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (12361)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (12361)Memory used [KB]: 1309
% 0.59/0.77 % (12361)Time elapsed: 0.012 s
% 0.59/0.77 % (12361)Instructions burned: 18 (million)
% 0.59/0.77 % (12352)Success in time 0.386 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------