TSTP Solution File: SWC188-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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 : n026.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 : Wed May  1 04:00:26 EDT 2024

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  124 (  13 unt;   0 def)
%            Number of atoms       :  490 (  44 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  710 ( 344   ~; 355   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f856,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f243,f359,f363,f367,f372,f474,f492,f601,f683,f842,f855]) ).

fof(f855,plain,
    ~ spl0_26,
    inference(avatar_contradiction_clause,[],[f854]) ).

fof(f854,plain,
    ( $false
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f853,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_7) ).

fof(f853,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_26 ),
    inference(resolution,[],[f682,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause71) ).

fof(f682,plain,
    ( memberP(nil,sk5)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f680,plain,
    ( spl0_26
  <=> memberP(nil,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f842,plain,
    ( ~ spl0_25
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f800,f590,f281,f266,f230,f216,f676]) ).

fof(f676,plain,
    ( spl0_25
  <=> sk5 = sk9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f216,plain,
    ( spl0_1
  <=> ssItem(sk9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f230,plain,
    ( spl0_4
  <=> sk3 = cons(sk9,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f266,plain,
    ( spl0_7
  <=> ssList(cons(sk6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f281,plain,
    ( spl0_10
  <=> ssList(app(sk7,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f590,plain,
    ( spl0_23
  <=> ssList(app(cons(sk6,nil),sk8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f800,plain,
    ( sk5 != sk9
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(superposition,[],[f197,f798]) ).

fof(f798,plain,
    ( sk6 = sk9
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f797,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause8) ).

fof(f797,plain,
    ( sk6 = sk9
    | ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f795,f193]) ).

fof(f193,axiom,
    ssItem(sk6),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_8) ).

fof(f795,plain,
    ( ~ ssItem(sk6)
    | sk6 = sk9
    | ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f794]) ).

fof(f794,plain,
    ( ~ ssItem(sk6)
    | sk6 = sk9
    | ~ ssItem(sk6)
    | ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(resolution,[],[f792,f214]) ).

fof(f214,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause138) ).

fof(f792,plain,
    ( ! [X0] :
        ( ~ memberP(cons(sk6,nil),X0)
        | ~ ssItem(X0)
        | sk9 = X0 )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f791,f71]) ).

fof(f791,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(cons(sk6,nil),X0)
        | memberP(nil,X0)
        | sk9 = X0 )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f790,f8]) ).

fof(f790,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(cons(sk6,nil),X0)
        | memberP(nil,X0)
        | ~ ssList(nil)
        | sk9 = X0 )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f789,f218]) ).

fof(f218,plain,
    ( ssItem(sk9)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f789,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(cons(sk6,nil),X0)
        | memberP(nil,X0)
        | ~ ssItem(sk9)
        | ~ ssList(nil)
        | sk9 = X0 )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f786]) ).

fof(f786,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(cons(sk6,nil),X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | ~ ssItem(sk9)
        | ~ ssList(nil)
        | sk9 = X0 )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(resolution,[],[f785,f161]) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | X0 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause161) ).

fof(f785,plain,
    ( ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(sk6,nil),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f784,f195]) ).

fof(f195,axiom,
    ssList(sk8),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_10) ).

fof(f784,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | memberP(cons(sk9,nil),X0)
        | ~ ssList(sk8)
        | ~ memberP(cons(sk6,nil),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f783,f267]) ).

fof(f267,plain,
    ( ssList(cons(sk6,nil))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f783,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | memberP(cons(sk9,nil),X0)
        | ~ ssList(cons(sk6,nil))
        | ~ ssList(sk8)
        | ~ memberP(cons(sk6,nil),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f780]) ).

fof(f780,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | memberP(cons(sk9,nil),X0)
        | ~ ssItem(X0)
        | ~ ssList(cons(sk6,nil))
        | ~ ssList(sk8)
        | ~ memberP(cons(sk6,nil),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(resolution,[],[f646,f140]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause140) ).

fof(f646,plain,
    ( ! [X0] :
        ( ~ memberP(app(cons(sk6,nil),sk8),X0)
        | ~ ssItem(X0)
        | memberP(cons(sk9,nil),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f645,f591]) ).

fof(f591,plain,
    ( ssList(app(cons(sk6,nil),sk8))
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f645,plain,
    ( ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ ssItem(X0)
        | ~ ssList(app(cons(sk6,nil),sk8))
        | ~ memberP(app(cons(sk6,nil),sk8),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f632,f282]) ).

fof(f282,plain,
    ( ssList(app(sk7,cons(sk5,nil)))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f632,plain,
    ( ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ ssItem(X0)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssList(app(cons(sk6,nil),sk8))
        | ~ memberP(app(cons(sk6,nil),sk8),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f141,f542]) ).

fof(f542,plain,
    ( cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f494,f232]) ).

fof(f232,plain,
    ( sk3 = cons(sk9,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f494,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f493,f267]) ).

fof(f493,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
    | ~ ssList(cons(sk6,nil))
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f289,f282]) ).

fof(f289,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(cons(sk6,nil)) ),
    inference(subsumption_resolution,[],[f250,f195]) ).

fof(f250,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(cons(sk6,nil))
    | ~ ssList(sk8) ),
    inference(superposition,[],[f149,f208]) ).

fof(f208,plain,
    sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    inference(definition_unfolding,[],[f196,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_6) ).

fof(f196,axiom,
    sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_11) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause149) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause141) ).

fof(f197,axiom,
    sk5 != sk6,
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_12) ).

fof(f683,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f674,f590,f281,f266,f230,f216,f680,f676]) ).

fof(f674,plain,
    ( memberP(nil,sk5)
    | sk5 = sk9
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f673,f8]) ).

fof(f673,plain,
    ( memberP(nil,sk5)
    | ~ ssList(nil)
    | sk5 = sk9
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f672,f218]) ).

fof(f672,plain,
    ( memberP(nil,sk5)
    | ~ ssItem(sk9)
    | ~ ssList(nil)
    | sk5 = sk9
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f671,f192]) ).

fof(f671,plain,
    ( memberP(nil,sk5)
    | ~ ssItem(sk5)
    | ~ ssItem(sk9)
    | ~ ssList(nil)
    | sk5 = sk9
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(resolution,[],[f666,f161]) ).

fof(f666,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f665,f8]) ).

fof(f665,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f664,f194]) ).

fof(f194,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_9) ).

fof(f664,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f663,f282]) ).

fof(f663,plain,
    ( memberP(cons(sk9,nil),sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f662,f192]) ).

fof(f662,plain,
    ( ~ ssItem(sk5)
    | memberP(cons(sk9,nil),sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f657]) ).

fof(f657,plain,
    ( ~ ssItem(sk5)
    | memberP(cons(sk9,nil),sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssItem(sk5)
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(resolution,[],[f644,f211]) ).

fof(f211,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f175]) ).

fof(f175,axiom,
    ! [X2,X3,X0,X1] :
      ( memberP(X3,X1)
      | ~ ssList(X3)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(X0,cons(X1,X2)) != X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause175) ).

fof(f644,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk7,cons(sk5,nil)),X0)
        | ~ ssItem(X0)
        | memberP(cons(sk9,nil),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f643,f591]) ).

fof(f643,plain,
    ( ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ ssItem(X0)
        | ~ ssList(app(cons(sk6,nil),sk8))
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f631,f282]) ).

fof(f631,plain,
    ( ! [X0] :
        ( memberP(cons(sk9,nil),X0)
        | ~ ssItem(X0)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssList(app(cons(sk6,nil),sk8))
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f140,f542]) ).

fof(f601,plain,
    ( ~ spl0_7
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f600]) ).

fof(f600,plain,
    ( $false
    | ~ spl0_7
    | spl0_23 ),
    inference(subsumption_resolution,[],[f599,f195]) ).

fof(f599,plain,
    ( ~ ssList(sk8)
    | ~ spl0_7
    | spl0_23 ),
    inference(subsumption_resolution,[],[f598,f267]) ).

fof(f598,plain,
    ( ~ ssList(cons(sk6,nil))
    | ~ ssList(sk8)
    | spl0_23 ),
    inference(resolution,[],[f592,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause85) ).

fof(f592,plain,
    ( ~ ssList(app(cons(sk6,nil),sk8))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f492,plain,
    ( spl0_12
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f491,f299,f225,f295]) ).

fof(f295,plain,
    ( spl0_12
  <=> nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f225,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f299,plain,
    ( spl0_13
  <=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f491,plain,
    ( nil != sk3
    | nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f490,f195]) ).

fof(f490,plain,
    ( nil != sk3
    | ~ ssList(sk8)
    | nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f252,f300]) ).

fof(f300,plain,
    ( ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f252,plain,
    ( nil != sk3
    | ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | ~ ssList(sk8)
    | nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) ),
    inference(superposition,[],[f118,f208]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause118) ).

fof(f474,plain,
    ( ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f473]) ).

fof(f473,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f472,f193]) ).

fof(f472,plain,
    ( ~ ssItem(sk6)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(resolution,[],[f435,f71]) ).

fof(f435,plain,
    ( memberP(nil,sk6)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f434,f282]) ).

fof(f434,plain,
    ( memberP(nil,sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f433,f193]) ).

fof(f433,plain,
    ( memberP(nil,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f427,f8]) ).

fof(f427,plain,
    ( memberP(nil,sk6)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f412]) ).

fof(f412,plain,
    ( memberP(nil,sk6)
    | ~ ssList(nil)
    | ~ ssItem(sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_12 ),
    inference(superposition,[],[f211,f297]) ).

fof(f297,plain,
    ( nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f372,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f371]) ).

fof(f371,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | spl0_13 ),
    inference(subsumption_resolution,[],[f370,f267]) ).

fof(f370,plain,
    ( ~ ssList(cons(sk6,nil))
    | ~ spl0_10
    | spl0_13 ),
    inference(subsumption_resolution,[],[f368,f282]) ).

fof(f368,plain,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(cons(sk6,nil))
    | spl0_13 ),
    inference(resolution,[],[f301,f85]) ).

fof(f301,plain,
    ( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f367,plain,
    ( ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f366]) ).

fof(f366,plain,
    ( $false
    | ~ spl0_8
    | spl0_10 ),
    inference(subsumption_resolution,[],[f365,f271]) ).

fof(f271,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_8
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f365,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_10 ),
    inference(subsumption_resolution,[],[f364,f194]) ).

fof(f364,plain,
    ( ~ ssList(sk7)
    | ~ ssList(cons(sk5,nil))
    | spl0_10 ),
    inference(resolution,[],[f283,f85]) ).

fof(f283,plain,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f363,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f362,plain,
    ( $false
    | spl0_8 ),
    inference(subsumption_resolution,[],[f361,f192]) ).

fof(f361,plain,
    ( ~ ssItem(sk5)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f360,f8]) ).

fof(f360,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_8 ),
    inference(resolution,[],[f272,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',clause86) ).

fof(f272,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f359,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f358,plain,
    ( $false
    | spl0_7 ),
    inference(subsumption_resolution,[],[f357,f193]) ).

fof(f357,plain,
    ( ~ ssItem(sk6)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f356,f8]) ).

fof(f356,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk6)
    | spl0_7 ),
    inference(resolution,[],[f268,f86]) ).

fof(f268,plain,
    ( ~ ssList(cons(sk6,nil))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f243,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f225,f230]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk3 = cons(sk9,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_18) ).

fof(f228,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f199,f225,f216]) ).

fof(f199,axiom,
    ( nil = sk3
    | ssItem(sk9) ),
    file('/export/starexec/sandbox2/tmp/tmp.eywxXsqo5E/Vampire---4.8_19913',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC188-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n026.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   : Tue Apr 30 18:38:19 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN 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.eywxXsqo5E/Vampire---4.8_19913
% 0.57/0.77  % (20122)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)
% 0.57/0.77  % (20120)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)
% 0.57/0.77  % (20115)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)
% 0.57/0.77  % (20117)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.77  % (20116)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)
% 0.57/0.77  % (20118)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)
% 0.57/0.77  % (20119)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)
% 0.57/0.77  % (20121)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)
% 0.60/0.78  % (20120)First to succeed.
% 0.60/0.78  % (20120)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (20120)------------------------------
% 0.60/0.78  % (20120)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78  % (20120)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (20120)Memory used [KB]: 1370
% 0.60/0.78  % (20120)Time elapsed: 0.012 s
% 0.60/0.78  % (20120)Instructions burned: 31 (million)
% 0.60/0.78  % (20120)------------------------------
% 0.60/0.78  % (20120)------------------------------
% 0.60/0.78  % (20089)Success in time 0.409 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------