TSTP Solution File: SWC089-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC089-1 : TPTP v8.2.0. 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 : n022.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 : Tue May 21 04:36:09 EDT 2024

% Result   : Unsatisfiable 0.72s 0.80s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  124 (  16 unt;   0 def)
%            Number of atoms       :  459 (  70 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  652 ( 317   ~; 327   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1508,plain,
    $false,
    inference(avatar_sat_refutation,[],[f255,f265,f295,f298,f318,f321,f355,f1422,f1507]) ).

fof(f1507,plain,
    ( ~ spl4_1
    | ~ spl4_9 ),
    inference(avatar_contradiction_clause,[],[f1506]) ).

fof(f1506,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1505,f258]) ).

fof(f258,plain,
    ( ssList(nil)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl4_9
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f1505,plain,
    ( ~ ssList(nil)
    | ~ spl4_1 ),
    inference(resolution,[],[f1496,f216]) ).

fof(f216,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f1496,plain,
    ( neq(nil,nil)
    | ~ spl4_1 ),
    inference(superposition,[],[f229,f223]) ).

fof(f223,plain,
    ( nil = sk3
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl4_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f229,plain,
    neq(sk3,nil),
    inference(subsumption_resolution,[],[f195,f199]) ).

fof(f199,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f195,axiom,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f1422,plain,
    ( spl4_1
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(avatar_contradiction_clause,[],[f1421]) ).

fof(f1421,plain,
    ( $false
    | spl4_1
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1420,f241]) ).

fof(f241,plain,
    ( ssList(sF2)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl4_5
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f1420,plain,
    ( ~ ssList(sF2)
    | spl4_1
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1413,f1221]) ).

fof(f1221,plain,
    ( ~ segmentP(sk3,sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1220,f333]) ).

fof(f333,plain,
    ( nil != sF1
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f332,f258]) ).

fof(f332,plain,
    ( nil != sF1
    | ~ ssList(nil)
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f331,f249]) ).

fof(f249,plain,
    ( ssItem(sF0)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl4_7
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f331,plain,
    ( nil != sF1
    | ~ ssItem(sF0)
    | ~ ssList(nil) ),
    inference(superposition,[],[f98,f212]) ).

fof(f212,plain,
    cons(sF0,nil) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f1220,plain,
    ( nil = sF1
    | ~ segmentP(sk3,sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1217,f245]) ).

fof(f245,plain,
    ( ssList(sF1)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl4_6
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f1217,plain,
    ( ~ ssList(sF1)
    | nil = sF1
    | ~ segmentP(sk3,sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(resolution,[],[f1216,f356]) ).

fof(f356,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | ~ ssList(X0)
        | nil = X0
        | ~ segmentP(sk3,X0) )
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f351,f258]) ).

fof(f351,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f346,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f100,f200]) ).

fof(f200,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ segmentP(sk4,X6)
      | ~ segmentP(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f1216,plain,
    ( segmentP(sk4,sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1215,f258]) ).

fof(f1215,plain,
    ( segmentP(sk4,sF1)
    | ~ ssList(nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1208,f198]) ).

fof(f198,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f1208,plain,
    ( segmentP(sk4,sF1)
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(superposition,[],[f1033,f1132]) ).

fof(f1132,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(forward_demodulation,[],[f1131,f238]) ).

fof(f238,plain,
    ( sk4 = sF3
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl4_4
  <=> sk4 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f1131,plain,
    ( sF3 = app(sk4,nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(forward_demodulation,[],[f1130,f214]) ).

fof(f214,plain,
    app(sF2,sF1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f1130,plain,
    ( app(sF2,sF1) = app(sk4,nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1129,f245]) ).

fof(f1129,plain,
    ( app(sF2,sF1) = app(sk4,nil)
    | ~ ssList(sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1115,f258]) ).

fof(f1115,plain,
    ( app(sF2,sF1) = app(sk4,nil)
    | ~ ssList(nil)
    | ~ ssList(sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(superposition,[],[f767,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f767,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_demodulation,[],[f766,f238]) ).

fof(f766,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f765,f245]) ).

fof(f765,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f734,f241]) ).

fof(f734,plain,
    ! [X0] :
      ( app(sF2,app(sF1,X0)) = app(sF3,X0)
      | ~ ssList(sF2)
      | ~ ssList(sF1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f149,f214]) ).

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/benchmark/theBenchmark.p',clause149) ).

fof(f1033,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sF1)
        | ~ ssList(app(sk4,X0))
        | ~ ssList(X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_demodulation,[],[f1032,f238]) ).

fof(f1032,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_demodulation,[],[f1031,f238]) ).

fof(f1031,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f1030,f241]) ).

fof(f1030,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(sF2)
        | ~ ssList(X0) )
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f1008,f245]) ).

fof(f1008,plain,
    ! [X0] :
      ( segmentP(app(sF3,X0),sF1)
      | ~ ssList(app(sF3,X0))
      | ~ ssList(sF1)
      | ~ ssList(sF2)
      | ~ ssList(X0) ),
    inference(superposition,[],[f209,f214]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f1413,plain,
    ( segmentP(sk3,sF1)
    | ~ ssList(sF2)
    | spl4_1
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(superposition,[],[f1356,f377]) ).

fof(f377,plain,
    ( sk3 = cons(sF0,sF2)
    | spl4_1 ),
    inference(forward_demodulation,[],[f376,f213]) ).

fof(f213,plain,
    tl(sk3) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f376,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | spl4_1 ),
    inference(subsumption_resolution,[],[f375,f197]) ).

fof(f197,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f375,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | ~ ssList(sk3)
    | spl4_1 ),
    inference(subsumption_resolution,[],[f366,f222]) ).

fof(f222,plain,
    ( nil != sk3
    | spl4_1 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f366,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f104,f211]) ).

fof(f211,plain,
    hd(sk3) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f1356,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(X0) )
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1341,f245]) ).

fof(f1341,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(duplicate_literal_removal,[],[f1337]) ).

fof(f1337,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(superposition,[],[f1025,f432]) ).

fof(f432,plain,
    ( ! [X0] :
        ( cons(sF0,X0) = app(sF1,X0)
        | ~ ssList(X0) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f425,f249]) ).

fof(f425,plain,
    ! [X0] :
      ( cons(sF0,X0) = app(sF1,X0)
      | ~ ssList(X0)
      | ~ ssItem(sF0) ),
    inference(superposition,[],[f120,f212]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f1025,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1024,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f1024,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1019,f258]) ).

fof(f1019,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f1002]) ).

fof(f1002,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f209,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f355,plain,
    ( spl4_1
    | spl4_8
    | ~ spl4_9 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | spl4_1
    | spl4_8
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f353,f197]) ).

fof(f353,plain,
    ( ~ ssList(sk3)
    | spl4_1
    | spl4_8
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f352,f258]) ).

fof(f352,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | spl4_1
    | spl4_8 ),
    inference(subsumption_resolution,[],[f345,f222]) ).

fof(f345,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ ssList(sk3)
    | spl4_8 ),
    inference(resolution,[],[f100,f254]) ).

fof(f254,plain,
    ( ~ neq(nil,sk3)
    | spl4_8 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl4_8
  <=> neq(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f321,plain,
    ( spl4_6
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f320,f257,f248,f244]) ).

fof(f320,plain,
    ( ssList(sF1)
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f319,f249]) ).

fof(f319,plain,
    ( ssList(sF1)
    | ~ ssItem(sF0)
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f313,f258]) ).

fof(f313,plain,
    ( ssList(sF1)
    | ~ ssList(nil)
    | ~ ssItem(sF0) ),
    inference(superposition,[],[f86,f212]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f318,plain,
    ( ~ spl4_6
    | ~ spl4_5
    | spl4_3 ),
    inference(avatar_split_clause,[],[f304,f232,f240,f244]) ).

fof(f232,plain,
    ( spl4_3
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f304,plain,
    ( ssList(sF3)
    | ~ ssList(sF2)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f85,f214]) ).

fof(f298,plain,
    ( spl4_1
    | spl4_7 ),
    inference(avatar_split_clause,[],[f297,f248,f221]) ).

fof(f297,plain,
    ( ssItem(sF0)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f296,f197]) ).

fof(f296,plain,
    ( ssItem(sF0)
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f78,f211]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f295,plain,
    ( spl4_1
    | spl4_5 ),
    inference(avatar_split_clause,[],[f294,f240,f221]) ).

fof(f294,plain,
    ( ssList(sF2)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f293,f197]) ).

fof(f293,plain,
    ( ssList(sF2)
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f77,f213]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f265,plain,
    spl4_9,
    inference(avatar_split_clause,[],[f8,f257]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f255,plain,
    ( ~ spl4_3
    | spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f230,f252,f248,f244,f240,f236,f232]) ).

fof(f230,plain,
    ( ~ neq(nil,sk3)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk4 = sF3
    | ~ ssList(sF3) ),
    inference(subsumption_resolution,[],[f219,f199]) ).

fof(f219,plain,
    ( ~ neq(nil,sk3)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk4 = sF3
    | ~ ssList(sF3)
    | ~ neq(sk4,nil) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,plain,
    ( ~ neq(nil,sk3)
    | ~ neq(nil,sk3)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk4 = sF3
    | ~ ssList(sF3)
    | ~ neq(sk4,nil) ),
    inference(definition_folding,[],[f204,f214,f212,f211,f213,f214,f212,f211,f213,f213,f212,f211,f211]) ).

fof(f204,plain,
    ( ~ neq(nil,sk3)
    | ~ neq(nil,sk3)
    | ~ ssItem(hd(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | ~ ssItem(hd(sk3))
      | tl(sk3) != X7
      | ~ ssList(cons(hd(sk3),nil))
      | ~ ssList(X7)
      | sk4 = app(X7,cons(hd(sk3),nil))
      | ~ ssList(app(X7,cons(hd(sk3),nil)))
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X6,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | ~ ssItem(hd(sk3))
      | app(X7,cons(hd(sk3),nil)) != X6
      | tl(sk3) != X7
      | ~ ssList(cons(hd(sk3),nil))
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f201]) ).

fof(f201,plain,
    ! [X8,X6,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | cons(hd(sk3),nil) != X8
      | ~ ssItem(hd(sk3))
      | app(X7,X8) != X6
      | tl(sk3) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | hd(sk3) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk3) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC089-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13  % 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
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 02:37:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.34  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/benchmark/theBenchmark.p
% 0.53/0.73  % (26573)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.53/0.73  % (26571)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.73  % (26572)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 theBenchmark for (2996ds/83Mi)
% 0.53/0.73  % (26568)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.73  % (26566)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 theBenchmark for (2996ds/34Mi)
% 0.53/0.73  % (26567)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 theBenchmark for (2996ds/51Mi)
% 0.53/0.74  % (26569)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.59/0.75  % (26570)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 theBenchmark for (2996ds/34Mi)
% 0.59/0.75  % (26573)Instruction limit reached!
% 0.59/0.75  % (26573)------------------------------
% 0.59/0.75  % (26573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26573)Termination reason: Unknown
% 0.59/0.75  % (26573)Termination phase: Saturation
% 0.59/0.75  
% 0.59/0.75  % (26573)Memory used [KB]: 1636
% 0.59/0.75  % (26573)Time elapsed: 0.022 s
% 0.59/0.75  % (26573)Instructions burned: 57 (million)
% 0.59/0.75  % (26573)------------------------------
% 0.59/0.75  % (26573)------------------------------
% 0.59/0.75  % (26569)Instruction limit reached!
% 0.59/0.75  % (26569)------------------------------
% 0.59/0.75  % (26569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26569)Termination reason: Unknown
% 0.59/0.75  % (26569)Termination phase: Saturation
% 0.59/0.75  
% 0.59/0.75  % (26569)Memory used [KB]: 1620
% 0.59/0.75  % (26569)Time elapsed: 0.019 s
% 0.59/0.75  % (26569)Instructions burned: 34 (million)
% 0.59/0.75  % (26569)------------------------------
% 0.59/0.75  % (26569)------------------------------
% 0.59/0.76  % (26566)Instruction limit reached!
% 0.59/0.76  % (26566)------------------------------
% 0.59/0.76  % (26566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26566)Termination reason: Unknown
% 0.59/0.76  % (26566)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (26566)Memory used [KB]: 1605
% 0.59/0.76  % (26566)Time elapsed: 0.023 s
% 0.59/0.76  % (26566)Instructions burned: 35 (million)
% 0.59/0.76  % (26566)------------------------------
% 0.59/0.76  % (26566)------------------------------
% 0.59/0.76  % (26571)Instruction limit reached!
% 0.59/0.76  % (26571)------------------------------
% 0.59/0.76  % (26571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26571)Termination reason: Unknown
% 0.59/0.76  % (26571)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (26571)Memory used [KB]: 1636
% 0.59/0.76  % (26571)Time elapsed: 0.025 s
% 0.59/0.76  % (26571)Instructions burned: 45 (million)
% 0.59/0.76  % (26571)------------------------------
% 0.59/0.76  % (26571)------------------------------
% 0.59/0.76  % (26574)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 theBenchmark for (2995ds/55Mi)
% 0.59/0.76  % (26575)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 theBenchmark for (2995ds/50Mi)
% 0.59/0.76  % (26578)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.59/0.76  % (26567)Instruction limit reached!
% 0.59/0.76  % (26567)------------------------------
% 0.59/0.76  % (26567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26567)Termination reason: Unknown
% 0.59/0.76  % (26567)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (26567)Memory used [KB]: 1949
% 0.59/0.76  % (26567)Time elapsed: 0.029 s
% 0.59/0.76  % (26567)Instructions burned: 52 (million)
% 0.59/0.76  % (26567)------------------------------
% 0.59/0.76  % (26567)------------------------------
% 0.59/0.76  % (26570)Instruction limit reached!
% 0.59/0.76  % (26570)------------------------------
% 0.59/0.76  % (26570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26570)Termination reason: Unknown
% 0.59/0.76  % (26570)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (26570)Memory used [KB]: 1596
% 0.59/0.76  % (26570)Time elapsed: 0.042 s
% 0.59/0.76  % (26570)Instructions burned: 36 (million)
% 0.59/0.76  % (26570)------------------------------
% 0.59/0.76  % (26570)------------------------------
% 0.59/0.76  % (26577)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.72/0.77  % (26579)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.72/0.77  % (26580)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.72/0.77  % (26572)Instruction limit reached!
% 0.72/0.77  % (26572)------------------------------
% 0.72/0.77  % (26572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.77  % (26572)Termination reason: Unknown
% 0.72/0.77  % (26572)Termination phase: Saturation
% 0.72/0.77  
% 0.72/0.77  % (26572)Memory used [KB]: 2160
% 0.72/0.77  % (26572)Time elapsed: 0.039 s
% 0.72/0.77  % (26572)Instructions burned: 83 (million)
% 0.72/0.77  % (26572)------------------------------
% 0.72/0.77  % (26572)------------------------------
% 0.72/0.78  % (26581)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.72/0.78  % (26568)Instruction limit reached!
% 0.72/0.78  % (26568)------------------------------
% 0.72/0.78  % (26568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.78  % (26568)Termination reason: Unknown
% 0.72/0.78  % (26568)Termination phase: Saturation
% 0.72/0.78  
% 0.72/0.78  % (26568)Memory used [KB]: 1810
% 0.72/0.78  % (26568)Time elapsed: 0.046 s
% 0.72/0.78  % (26568)Instructions burned: 79 (million)
% 0.72/0.78  % (26568)------------------------------
% 0.72/0.78  % (26568)------------------------------
% 0.72/0.78  % (26582)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.72/0.78  % (26574)Instruction limit reached!
% 0.72/0.78  % (26574)------------------------------
% 0.72/0.78  % (26574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.78  % (26574)Termination reason: Unknown
% 0.72/0.78  % (26574)Termination phase: Saturation
% 0.72/0.78  
% 0.72/0.78  % (26574)Memory used [KB]: 2113
% 0.72/0.78  % (26574)Time elapsed: 0.029 s
% 0.72/0.78  % (26574)Instructions burned: 56 (million)
% 0.72/0.78  % (26574)------------------------------
% 0.72/0.78  % (26574)------------------------------
% 0.72/0.78  % (26575)Instruction limit reached!
% 0.72/0.78  % (26575)------------------------------
% 0.72/0.78  % (26575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.78  % (26575)Termination reason: Unknown
% 0.72/0.78  % (26575)Termination phase: Saturation
% 0.72/0.78  
% 0.72/0.78  % (26575)Memory used [KB]: 1713
% 0.72/0.78  % (26575)Time elapsed: 0.027 s
% 0.72/0.79  % (26575)Instructions burned: 51 (million)
% 0.72/0.79  % (26575)------------------------------
% 0.72/0.79  % (26575)------------------------------
% 0.72/0.79  % (26580)Instruction limit reached!
% 0.72/0.79  % (26580)------------------------------
% 0.72/0.79  % (26580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.79  % (26580)Termination reason: Unknown
% 0.72/0.79  % (26580)Termination phase: Saturation
% 0.72/0.79  
% 0.72/0.79  % (26580)Memory used [KB]: 1519
% 0.72/0.79  % (26580)Time elapsed: 0.021 s
% 0.72/0.79  % (26580)Instructions burned: 44 (million)
% 0.72/0.79  % (26580)------------------------------
% 0.72/0.79  % (26580)------------------------------
% 0.72/0.79  % (26584)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.72/0.79  % (26578)Instruction limit reached!
% 0.72/0.79  % (26578)------------------------------
% 0.72/0.79  % (26578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.79  % (26578)Termination reason: Unknown
% 0.72/0.79  % (26578)Termination phase: Saturation
% 0.72/0.79  
% 0.72/0.79  % (26578)Memory used [KB]: 1793
% 0.72/0.79  % (26578)Time elapsed: 0.031 s
% 0.72/0.79  % (26578)Instructions burned: 53 (million)
% 0.72/0.79  % (26578)------------------------------
% 0.72/0.79  % (26578)------------------------------
% 0.72/0.79  % (26585)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.72/0.79  % (26586)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.72/0.79  % (26577)First to succeed.
% 0.72/0.80  % (26577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26565"
% 0.72/0.80  % (26577)Refutation found. Thanks to Tanya!
% 0.72/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.72/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.80  % (26577)------------------------------
% 0.72/0.80  % (26577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.80  % (26577)Termination reason: Refutation
% 0.72/0.80  
% 0.72/0.80  % (26577)Memory used [KB]: 1576
% 0.72/0.80  % (26577)Time elapsed: 0.032 s
% 0.72/0.80  % (26577)Instructions burned: 58 (million)
% 0.72/0.80  % (26565)Success in time 0.442 s
% 0.72/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------