TSTP Solution File: SWC155-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC155-1 : 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 : n014.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 09:48:58 EDT 2024

% Result   : Unsatisfiable 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  137 (  13 unt;   0 def)
%            Number of atoms       :  515 (  24 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  737 ( 359   ~; 364   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1215,plain,
    $false,
    inference(avatar_sat_refutation,[],[f221,f226,f235,f290,f365,f369,f373,f387,f452,f498,f505,f1129,f1171,f1204,f1214]) ).

fof(f1214,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f1213]) ).

fof(f1213,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f1212,f509]) ).

fof(f509,plain,
    ( leq(sk10,sk5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f508,f504]) ).

fof(f504,plain,
    ( sk5 = sk6
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f502,plain,
    ( spl0_29
  <=> sk5 = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f508,plain,
    ( leq(sk10,sk6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f507,f216]) ).

fof(f216,plain,
    ( ssItem(sk10)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_1
  <=> ssItem(sk10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f507,plain,
    ( leq(sk10,sk6)
    | ~ ssItem(sk10)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(resolution,[],[f225,f474]) ).

fof(f474,plain,
    ( ! [X0] :
        ( ~ memberP(sk8,X0)
        | leq(X0,sk6)
        | ~ ssItem(X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f473,f197]) ).

fof(f197,axiom,
    ssList(sk8),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_12) ).

fof(f473,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(X0,sk6)
        | ~ ssList(sk8)
        | ~ memberP(sk8,X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f469,f284]) ).

fof(f284,plain,
    ( ssList(app(sk7,cons(sk5,nil)))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f283,plain,
    ( spl0_9
  <=> ssList(app(sk7,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f469,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(X0,sk6)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssList(sk8)
        | ~ memberP(sk8,X0) )
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f467]) ).

fof(f467,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(X0,sk6)
        | ~ ssItem(X0)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssList(sk8)
        | ~ memberP(sk8,X0) )
    | ~ spl0_11 ),
    inference(resolution,[],[f464,f141]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause141) ).

fof(f464,plain,
    ( ! [X0] :
        ( ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
        | ~ ssItem(X0)
        | leq(X0,sk6) )
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f463,f195]) ).

fof(f195,axiom,
    ssItem(sk6),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_10) ).

fof(f463,plain,
    ( ! [X0] :
        ( leq(X0,sk6)
        | ~ ssItem(X0)
        | ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
        | ~ ssItem(sk6) )
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f462,f294]) ).

fof(f294,plain,
    ( ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl0_11
  <=> ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f462,plain,
    ! [X0] :
      ( leq(X0,sk6)
      | ~ ssItem(X0)
      | ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
      | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
      | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f459,f198]) ).

fof(f198,axiom,
    ssList(sk9),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_13) ).

fof(f459,plain,
    ! [X0] :
      ( leq(X0,sk6)
      | ~ ssItem(X0)
      | ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
      | ~ ssList(sk9)
      | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
      | ~ ssItem(sk6) ),
    inference(trivial_inequality_removal,[],[f457]) ).

fof(f457,plain,
    ! [X0] :
      ( sk3 != sk3
      | leq(X0,sk6)
      | ~ ssItem(X0)
      | ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
      | ~ ssList(sk9)
      | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
      | ~ ssItem(sk6) ),
    inference(superposition,[],[f193,f206]) ).

fof(f206,plain,
    sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    inference(definition_unfolding,[],[f199,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_6) ).

fof(f199,axiom,
    sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_14) ).

fof(f193,axiom,
    ! [X8,X6,X9,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | leq(X9,X6)
      | ~ ssItem(X9)
      | ~ memberP(X7,X9)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_8) ).

fof(f225,plain,
    ( memberP(sk8,sk10)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_3
  <=> memberP(sk8,sk10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1212,plain,
    ( ~ leq(sk10,sk5)
    | spl0_5
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f234,f504]) ).

fof(f234,plain,
    ( ~ leq(sk10,sk6)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_5
  <=> leq(sk10,sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1204,plain,
    ( spl0_4
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1203,f1127,f502,f441,f269,f223,f214,f228]) ).

fof(f228,plain,
    ( spl0_4
  <=> leq(sk5,sk10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f269,plain,
    ( spl0_6
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f441,plain,
    ( spl0_27
  <=> ssList(app(sk8,cons(sk6,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1127,plain,
    ( spl0_44
  <=> ! [X0] :
        ( leq(sk5,X0)
        | ~ memberP(app(app(sk8,cons(sk5,nil)),sk9),X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1203,plain,
    ( leq(sk5,sk10)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1199,f216]) ).

fof(f1199,plain,
    ( leq(sk5,sk10)
    | ~ ssItem(sk10)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(resolution,[],[f1196,f225]) ).

fof(f1196,plain,
    ( ! [X0] :
        ( ~ memberP(sk8,X0)
        | leq(sk5,X0)
        | ~ ssItem(X0) )
    | ~ spl0_6
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1195,f270]) ).

fof(f270,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f1195,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(sk5,X0)
        | ~ ssList(cons(sk5,nil))
        | ~ memberP(sk8,X0) )
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1193,f197]) ).

fof(f1193,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(sk5,X0)
        | ~ ssList(sk8)
        | ~ ssList(cons(sk5,nil))
        | ~ memberP(sk8,X0) )
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1190]) ).

fof(f1190,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk8)
        | ~ ssList(cons(sk5,nil))
        | ~ memberP(sk8,X0) )
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(resolution,[],[f1185,f140]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause140) ).

fof(f1185,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk8,cons(sk5,nil)),X0)
        | ~ ssItem(X0)
        | leq(sk5,X0) )
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1184,f198]) ).

fof(f1184,plain,
    ( ! [X0] :
        ( leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk9)
        | ~ memberP(app(sk8,cons(sk5,nil)),X0) )
    | ~ spl0_27
    | ~ spl0_29
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1183,f522]) ).

fof(f522,plain,
    ( ssList(app(sk8,cons(sk5,nil)))
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(superposition,[],[f442,f504]) ).

fof(f442,plain,
    ( ssList(app(sk8,cons(sk6,nil)))
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f1183,plain,
    ( ! [X0] :
        ( leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ ssList(app(sk8,cons(sk5,nil)))
        | ~ ssList(sk9)
        | ~ memberP(app(sk8,cons(sk5,nil)),X0) )
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1179]) ).

fof(f1179,plain,
    ( ! [X0] :
        ( leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ ssItem(X0)
        | ~ ssList(app(sk8,cons(sk5,nil)))
        | ~ ssList(sk9)
        | ~ memberP(app(sk8,cons(sk5,nil)),X0) )
    | ~ spl0_44 ),
    inference(resolution,[],[f1128,f140]) ).

fof(f1128,plain,
    ( ! [X0] :
        ( ~ memberP(app(app(sk8,cons(sk5,nil)),sk9),X0)
        | leq(sk5,X0)
        | ~ ssItem(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1171,plain,
    ( ~ spl0_27
    | ~ spl0_29
    | spl0_42 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_29
    | spl0_42 ),
    inference(subsumption_resolution,[],[f1169,f198]) ).

fof(f1169,plain,
    ( ~ ssList(sk9)
    | ~ spl0_27
    | ~ spl0_29
    | spl0_42 ),
    inference(subsumption_resolution,[],[f1167,f522]) ).

fof(f1167,plain,
    ( ~ ssList(app(sk8,cons(sk5,nil)))
    | ~ ssList(sk9)
    | spl0_42 ),
    inference(resolution,[],[f1118,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause85) ).

fof(f1118,plain,
    ( ~ ssList(app(app(sk8,cons(sk5,nil)),sk9))
    | spl0_42 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1116,plain,
    ( spl0_42
  <=> ssList(app(app(sk8,cons(sk5,nil)),sk9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1129,plain,
    ( ~ spl0_42
    | spl0_44
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1125,f502,f441,f287,f283,f1127,f1116]) ).

fof(f287,plain,
    ( spl0_10
  <=> sk3 = app(app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk6,nil))),sk9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1125,plain,
    ( ! [X0] :
        ( leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ memberP(app(app(sk8,cons(sk5,nil)),sk9),X0)
        | ~ ssList(app(app(sk8,cons(sk5,nil)),sk9)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f1124,f194]) ).

fof(f194,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_9) ).

fof(f1124,plain,
    ( ! [X0] :
        ( leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ memberP(app(app(sk8,cons(sk5,nil)),sk9),X0)
        | ~ ssList(app(app(sk8,cons(sk5,nil)),sk9))
        | ~ ssItem(sk5) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f1111,f196]) ).

fof(f196,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_11) ).

fof(f1111,plain,
    ( ! [X0] :
        ( leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ memberP(app(app(sk8,cons(sk5,nil)),sk9),X0)
        | ~ ssList(app(app(sk8,cons(sk5,nil)),sk9))
        | ~ ssList(sk7)
        | ~ ssItem(sk5) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f1097]) ).

fof(f1097,plain,
    ( ! [X0] :
        ( sk3 != sk3
        | leq(sk5,X0)
        | ~ ssItem(X0)
        | ~ memberP(app(app(sk8,cons(sk5,nil)),sk9),X0)
        | ~ ssList(app(app(sk8,cons(sk5,nil)),sk9))
        | ~ ssList(sk7)
        | ~ ssItem(sk5) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(superposition,[],[f192,f654]) ).

fof(f654,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(app(sk8,cons(sk5,nil)),sk9))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27
    | ~ spl0_29 ),
    inference(forward_demodulation,[],[f653,f504]) ).

fof(f653,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(app(sk8,cons(sk6,nil)),sk9))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f652,f198]) ).

fof(f652,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(app(sk8,cons(sk6,nil)),sk9))
    | ~ ssList(sk9)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f651,f442]) ).

fof(f651,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(app(sk8,cons(sk6,nil)),sk9))
    | ~ ssList(app(sk8,cons(sk6,nil)))
    | ~ ssList(sk9)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f633,f284]) ).

fof(f633,plain,
    ( sk3 = app(app(sk7,cons(sk5,nil)),app(app(sk8,cons(sk6,nil)),sk9))
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(app(sk8,cons(sk6,nil)))
    | ~ ssList(sk9)
    | ~ spl0_10 ),
    inference(superposition,[],[f289,f149]) ).

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/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause149) ).

fof(f289,plain,
    ( sk3 = app(app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk6,nil))),sk9)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f192,axiom,
    ! [X8,X6,X9,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | leq(X6,X9)
      | ~ ssItem(X9)
      | ~ memberP(X8,X9)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_7) ).

fof(f505,plain,
    ( ~ spl0_2
    | spl0_29 ),
    inference(avatar_split_clause,[],[f500,f502,f218]) ).

fof(f218,plain,
    ( spl0_2
  <=> leq(sk5,sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f500,plain,
    ( sk5 = sk6
    | ~ leq(sk5,sk6) ),
    inference(subsumption_resolution,[],[f499,f194]) ).

fof(f499,plain,
    ( ~ ssItem(sk5)
    | sk5 = sk6
    | ~ leq(sk5,sk6) ),
    inference(subsumption_resolution,[],[f236,f195]) ).

fof(f236,plain,
    ( ~ ssItem(sk6)
    | ~ ssItem(sk5)
    | sk5 = sk6
    | ~ leq(sk5,sk6) ),
    inference(resolution,[],[f200,f130]) ).

fof(f130,axiom,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause130) ).

fof(f200,axiom,
    leq(sk6,sk5),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_15) ).

fof(f498,plain,
    ( spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f497,f293,f283,f218]) ).

fof(f497,plain,
    ( leq(sk5,sk6)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f496,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause8) ).

fof(f496,plain,
    ( leq(sk5,sk6)
    | ~ ssList(nil)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f495,f196]) ).

fof(f495,plain,
    ( leq(sk5,sk6)
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f494,f284]) ).

fof(f494,plain,
    ( leq(sk5,sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f483,f194]) ).

fof(f483,plain,
    ( leq(sk5,sk6)
    | ~ ssItem(sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f478]) ).

fof(f478,plain,
    ( leq(sk5,sk6)
    | ~ ssItem(sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssItem(sk5)
    | ~ ssList(sk7)
    | ~ ssList(nil)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(resolution,[],[f472,f207]) ).

fof(f207,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/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause175) ).

fof(f472,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk7,cons(sk5,nil)),X0)
        | leq(X0,sk6)
        | ~ ssItem(X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f471,f197]) ).

fof(f471,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(X0,sk6)
        | ~ ssList(sk8)
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f470,f284]) ).

fof(f470,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(X0,sk6)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssList(sk8)
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f466]) ).

fof(f466,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | leq(X0,sk6)
        | ~ ssItem(X0)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssList(sk8)
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_11 ),
    inference(resolution,[],[f464,f140]) ).

fof(f452,plain,
    ( ~ spl0_8
    | spl0_27 ),
    inference(avatar_contradiction_clause,[],[f451]) ).

fof(f451,plain,
    ( $false
    | ~ spl0_8
    | spl0_27 ),
    inference(subsumption_resolution,[],[f450,f280]) ).

fof(f280,plain,
    ( ssList(cons(sk6,nil))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl0_8
  <=> ssList(cons(sk6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f450,plain,
    ( ~ ssList(cons(sk6,nil))
    | spl0_27 ),
    inference(subsumption_resolution,[],[f449,f197]) ).

fof(f449,plain,
    ( ~ ssList(sk8)
    | ~ ssList(cons(sk6,nil))
    | spl0_27 ),
    inference(resolution,[],[f443,f85]) ).

fof(f443,plain,
    ( ~ ssList(app(sk8,cons(sk6,nil)))
    | spl0_27 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f387,plain,
    ( ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f386]) ).

fof(f386,plain,
    ( $false
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f385,f197]) ).

fof(f385,plain,
    ( ~ ssList(sk8)
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f383,f284]) ).

fof(f383,plain,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(sk8)
    | spl0_11 ),
    inference(resolution,[],[f295,f85]) ).

fof(f295,plain,
    ( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f373,plain,
    ( ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f372]) ).

fof(f372,plain,
    ( $false
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f371,f270]) ).

fof(f371,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_9 ),
    inference(subsumption_resolution,[],[f370,f196]) ).

fof(f370,plain,
    ( ~ ssList(sk7)
    | ~ ssList(cons(sk5,nil))
    | spl0_9 ),
    inference(resolution,[],[f285,f85]) ).

fof(f285,plain,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f369,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | spl0_8 ),
    inference(subsumption_resolution,[],[f367,f195]) ).

fof(f367,plain,
    ( ~ ssItem(sk6)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f366,f8]) ).

fof(f366,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk6)
    | spl0_8 ),
    inference(resolution,[],[f281,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',clause86) ).

fof(f281,plain,
    ( ~ ssList(cons(sk6,nil))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f365,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f364]) ).

fof(f364,plain,
    ( $false
    | spl0_6 ),
    inference(subsumption_resolution,[],[f363,f194]) ).

fof(f363,plain,
    ( ~ ssItem(sk5)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f362,f8]) ).

fof(f362,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_6 ),
    inference(resolution,[],[f271,f86]) ).

fof(f271,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f290,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f277,f287,f283,f279]) ).

fof(f277,plain,
    ( sk3 = app(app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk6,nil))),sk9)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(cons(sk6,nil)) ),
    inference(subsumption_resolution,[],[f251,f197]) ).

fof(f251,plain,
    ( sk3 = app(app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk6,nil))),sk9)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(sk8)
    | ~ ssList(cons(sk6,nil)) ),
    inference(superposition,[],[f206,f149]) ).

fof(f235,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f203,f218,f232,f228]) ).

fof(f203,axiom,
    ( ~ leq(sk5,sk6)
    | ~ leq(sk10,sk6)
    | ~ leq(sk5,sk10) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_18) ).

fof(f226,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f202,f218,f223]) ).

fof(f202,axiom,
    ( ~ leq(sk5,sk6)
    | memberP(sk8,sk10) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_17) ).

fof(f221,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f201,f218,f214]) ).

fof(f201,axiom,
    ( ~ leq(sk5,sk6)
    | ssItem(sk10) ),
    file('/export/starexec/sandbox/tmp/tmp.DurqjPm3p1/Vampire---4.8_6350',co1_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWC155-1 : 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
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.36  % CPULimit   : 300
% 0.21/0.36  % WCLimit    : 300
% 0.21/0.36  % DateTime   : Fri May  3 20:29:38 EDT 2024
% 0.21/0.36  % CPUTime    : 
% 0.21/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.21/0.36  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.DurqjPm3p1/Vampire---4.8_6350
% 0.59/0.75  % (6609)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)
% 0.59/0.75  % (6613)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)
% 0.59/0.75  % (6612)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (6615)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)
% 0.59/0.75  % (6611)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)
% 0.59/0.75  % (6614)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)
% 0.59/0.75  % (6616)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)
% 0.59/0.75  % (6617)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  % (6609)Instruction limit reached!
% 0.59/0.76  % (6609)------------------------------
% 0.59/0.76  % (6609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (6609)Termination reason: Unknown
% 0.59/0.76  % (6609)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (6609)Memory used [KB]: 1386
% 0.59/0.76  % (6609)Time elapsed: 0.012 s
% 0.59/0.76  % (6609)Instructions burned: 35 (million)
% 0.59/0.76  % (6609)------------------------------
% 0.59/0.76  % (6609)------------------------------
% 0.59/0.77  % (6618)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)
% 0.59/0.77  % (6613)Instruction limit reached!
% 0.59/0.77  % (6613)------------------------------
% 0.59/0.77  % (6613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (6614)Instruction limit reached!
% 0.59/0.77  % (6614)------------------------------
% 0.59/0.77  % (6614)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (6613)Termination reason: Unknown
% 0.59/0.77  % (6613)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (6613)Memory used [KB]: 1703
% 0.59/0.77  % (6613)Time elapsed: 0.021 s
% 0.59/0.77  % (6613)Instructions burned: 34 (million)
% 0.59/0.77  % (6613)------------------------------
% 0.59/0.77  % (6613)------------------------------
% 0.59/0.77  % (6614)Termination reason: Unknown
% 0.59/0.77  % (6614)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (6614)Memory used [KB]: 1626
% 0.59/0.77  % (6614)Time elapsed: 0.021 s
% 0.59/0.77  % (6614)Instructions burned: 35 (million)
% 0.59/0.77  % (6614)------------------------------
% 0.59/0.77  % (6614)------------------------------
% 0.59/0.78  % (6615)First to succeed.
% 0.59/0.78  % (6620)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.59/0.78  % (6615)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6598"
% 0.59/0.78  % (6615)Refutation found. Thanks to Tanya!
% 0.59/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.78  % (6615)------------------------------
% 0.59/0.78  % (6615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (6615)Termination reason: Refutation
% 0.59/0.78  
% 0.59/0.78  % (6615)Memory used [KB]: 1485
% 0.59/0.78  % (6615)Time elapsed: 0.026 s
% 0.59/0.78  % (6615)Instructions burned: 42 (million)
% 0.59/0.78  % (6598)Success in time 0.409 s
% 0.59/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------