TSTP Solution File: SWC187-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC187-1 : 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 : 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 : Tue May 21 04:36:55 EDT 2024

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  173 (  15 unt;   0 def)
%            Number of atoms       :  505 (  90 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  612 ( 280   ~; 298   |;   0   &)
%                                         (  34 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   40 (  38 usr;  35 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1388,plain,
    $false,
    inference(avatar_sat_refutation,[],[f251,f265,f276,f332,f370,f380,f382,f384,f386,f394,f396,f398,f426,f438,f443,f489,f560,f606,f659,f815,f819,f836,f895,f910,f915,f922,f959,f986,f1037,f1055,f1085,f1086,f1194,f1222,f1366,f1387]) ).

fof(f1387,plain,
    ( ~ spl0_5
    | ~ spl0_14
    | spl0_36
    | ~ spl0_20
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1386,f1362,f435,f556,f363,f253]) ).

fof(f253,plain,
    ( spl0_5
  <=> ssItem(sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f363,plain,
    ( spl0_14
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f556,plain,
    ( spl0_36
  <=> nil = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f435,plain,
    ( spl0_20
  <=> nil = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1362,plain,
    ( spl0_103
  <=> sk3 = cons(sk8,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1386,plain,
    ( nil = cons(sk5,nil)
    | ~ ssList(cons(sk5,nil))
    | ~ ssItem(sk8)
    | ~ spl0_20
    | ~ spl0_103 ),
    inference(forward_demodulation,[],[f1380,f437]) ).

fof(f437,plain,
    ( nil = tl(sk3)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f1380,plain,
    ( cons(sk5,nil) = tl(sk3)
    | ~ ssList(cons(sk5,nil))
    | ~ ssItem(sk8)
    | ~ spl0_103 ),
    inference(superposition,[],[f96,f1364]) ).

fof(f1364,plain,
    ( sk3 = cons(sk8,cons(sk5,nil))
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( tl(cons(X0,X1)) = X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f1366,plain,
    ( ~ spl0_14
    | spl0_103
    | ~ spl0_42
    | ~ spl0_56
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1347,f961,f822,f657,f1362,f363]) ).

fof(f657,plain,
    ( spl0_42
  <=> ! [X0] :
        ( cons(sk8,X0) = app(sk3,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f822,plain,
    ( spl0_56
  <=> sk3 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f961,plain,
    ( spl0_73
  <=> sk3 = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1347,plain,
    ( sk3 = cons(sk8,cons(sk5,nil))
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_42
    | ~ spl0_56
    | ~ spl0_73 ),
    inference(superposition,[],[f658,f1096]) ).

fof(f1096,plain,
    ( sk3 = app(sk3,cons(sk5,nil))
    | ~ spl0_56
    | ~ spl0_73 ),
    inference(superposition,[],[f824,f963]) ).

fof(f963,plain,
    ( sk3 = sk6
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f824,plain,
    ( sk3 = app(sk6,cons(sk5,nil))
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f658,plain,
    ( ! [X0] :
        ( cons(sk8,X0) = app(sk3,X0)
        | ~ ssList(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f1222,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | spl0_18
    | ~ spl0_20
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1221,f1190,f435,f411,f324,f253]) ).

fof(f324,plain,
    ( spl0_11
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f411,plain,
    ( spl0_18
  <=> nil = sk7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1190,plain,
    ( spl0_94
  <=> sk3 = cons(sk8,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1221,plain,
    ( nil = sk7
    | ~ ssList(sk7)
    | ~ ssItem(sk8)
    | ~ spl0_20
    | ~ spl0_94 ),
    inference(forward_demodulation,[],[f1215,f437]) ).

fof(f1215,plain,
    ( sk7 = tl(sk3)
    | ~ ssList(sk7)
    | ~ ssItem(sk8)
    | ~ spl0_94 ),
    inference(superposition,[],[f96,f1192]) ).

fof(f1192,plain,
    ( sk3 = cons(sk8,sk7)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f1194,plain,
    ( ~ spl0_11
    | spl0_94
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1177,f822,f657,f1190,f324]) ).

fof(f1177,plain,
    ( sk3 = cons(sk8,sk7)
    | ~ ssList(sk7)
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(superposition,[],[f658,f1056]) ).

fof(f1056,plain,
    ( sk3 = app(sk3,sk7)
    | ~ spl0_56 ),
    inference(superposition,[],[f205,f824]) ).

fof(f205,plain,
    sk3 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(definition_unfolding,[],[f195,f191]) ).

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

fof(f195,axiom,
    sk1 = app(app(sk6,cons(sk5,nil)),sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f1086,plain,
    ( spl0_73
    | ~ spl0_74
    | ~ spl0_15
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f987,f956,f445,f367,f965,f961]) ).

fof(f965,plain,
    ( spl0_74
  <=> frontsegP(sk3,sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f367,plain,
    ( spl0_15
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f445,plain,
    ( spl0_22
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f956,plain,
    ( spl0_72
  <=> frontsegP(sk6,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f987,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ frontsegP(sk3,sk6)
    | sk3 = sk6
    | ~ spl0_72 ),
    inference(resolution,[],[f958,f129]) ).

fof(f129,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f958,plain,
    ( frontsegP(sk6,sk3)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f1085,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | ~ spl0_22
    | spl0_74
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1069,f822,f965,f445,f367,f363]) ).

fof(f1069,plain,
    ( frontsegP(sk3,sk6)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_56 ),
    inference(superposition,[],[f217,f824]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f1055,plain,
    ( ~ spl0_12
    | spl0_10
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1054,f1019,f320,f328]) ).

fof(f328,plain,
    ( spl0_12
  <=> ssList(app(sk6,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f320,plain,
    ( spl0_10
  <=> nil = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1019,plain,
    ( spl0_79
  <=> ssList(tl(app(sk6,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1054,plain,
    ( nil = app(sk6,cons(sk5,nil))
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | spl0_79 ),
    inference(resolution,[],[f1021,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f1021,plain,
    ( ~ ssList(tl(app(sk6,cons(sk5,nil))))
    | spl0_79 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f1037,plain,
    ( ~ spl0_12
    | ~ spl0_79
    | spl0_56
    | ~ spl0_54
    | ~ spl0_58
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1008,f912,f834,f812,f822,f1019,f328]) ).

fof(f812,plain,
    ( spl0_54
  <=> frontsegP(sk3,app(sk6,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f834,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk3 = cons(sk8,X0)
        | ~ frontsegP(sk3,cons(sk8,X0))
        | ~ ssList(cons(sk8,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f912,plain,
    ( spl0_66
  <=> app(sk6,cons(sk5,nil)) = cons(sk8,tl(app(sk6,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1008,plain,
    ( ~ frontsegP(sk3,app(sk6,cons(sk5,nil)))
    | sk3 = app(sk6,cons(sk5,nil))
    | ~ ssList(tl(app(sk6,cons(sk5,nil))))
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ spl0_58
    | ~ spl0_66 ),
    inference(superposition,[],[f835,f914]) ).

fof(f914,plain,
    ( app(sk6,cons(sk5,nil)) = cons(sk8,tl(app(sk6,cons(sk5,nil))))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f835,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk3,cons(sk8,X0))
        | sk3 = cons(sk8,X0)
        | ~ ssList(X0)
        | ~ ssList(cons(sk8,X0)) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f986,plain,
    ( ~ spl0_15
    | spl0_13
    | spl0_68 ),
    inference(avatar_split_clause,[],[f985,f938,f359,f367]) ).

fof(f359,plain,
    ( spl0_13
  <=> nil = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f938,plain,
    ( spl0_68
  <=> ssList(tl(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f985,plain,
    ( nil = sk6
    | ~ ssList(sk6)
    | spl0_68 ),
    inference(resolution,[],[f940,f75]) ).

fof(f940,plain,
    ( ~ ssList(tl(sk6))
    | spl0_68 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f959,plain,
    ( ~ spl0_15
    | ~ spl0_68
    | spl0_72
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f927,f919,f817,f956,f938,f367]) ).

fof(f817,plain,
    ( spl0_55
  <=> ! [X0] :
        ( frontsegP(cons(sk8,X0),sk3)
        | ~ ssList(X0)
        | ~ ssList(cons(sk8,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f919,plain,
    ( spl0_67
  <=> sk6 = cons(sk8,tl(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f927,plain,
    ( frontsegP(sk6,sk3)
    | ~ ssList(tl(sk6))
    | ~ ssList(sk6)
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(superposition,[],[f818,f921]) ).

fof(f921,plain,
    ( sk6 = cons(sk8,tl(sk6))
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f818,plain,
    ( ! [X0] :
        ( frontsegP(cons(sk8,X0),sk3)
        | ~ ssList(X0)
        | ~ ssList(cons(sk8,X0)) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f922,plain,
    ( ~ spl0_15
    | spl0_13
    | spl0_67
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f916,f906,f919,f359,f367]) ).

fof(f906,plain,
    ( spl0_65
  <=> sk8 = hd(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f916,plain,
    ( sk6 = cons(sk8,tl(sk6))
    | nil = sk6
    | ~ ssList(sk6)
    | ~ spl0_65 ),
    inference(superposition,[],[f104,f908]) ).

fof(f908,plain,
    ( sk8 = hd(sk6)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f906]) ).

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

fof(f915,plain,
    ( ~ spl0_12
    | spl0_10
    | spl0_66
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f903,f892,f912,f320,f328]) ).

fof(f892,plain,
    ( spl0_63
  <=> sk8 = hd(app(sk6,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f903,plain,
    ( app(sk6,cons(sk5,nil)) = cons(sk8,tl(app(sk6,cons(sk5,nil))))
    | nil = app(sk6,cons(sk5,nil))
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ spl0_63 ),
    inference(superposition,[],[f104,f894]) ).

fof(f894,plain,
    ( sk8 = hd(app(sk6,cons(sk5,nil)))
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f910,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_13
    | spl0_65
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f902,f892,f906,f359,f367,f363]) ).

fof(f902,plain,
    ( sk8 = hd(sk6)
    | nil = sk6
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_63 ),
    inference(superposition,[],[f123,f894]) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( hd(app(X1,X0)) = hd(X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f895,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_10
    | spl0_63
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f890,f440,f892,f320,f328,f324]) ).

fof(f440,plain,
    ( spl0_21
  <=> sk8 = hd(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f890,plain,
    ( sk8 = hd(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(sk7)
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f884,f442]) ).

fof(f442,plain,
    ( sk8 = hd(sk3)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f884,plain,
    ( hd(sk3) = hd(app(sk6,cons(sk5,nil)))
    | nil = app(sk6,cons(sk5,nil))
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(sk7) ),
    inference(superposition,[],[f123,f205]) ).

fof(f836,plain,
    ( ~ spl0_22
    | spl0_58
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f832,f817,f834,f445]) ).

fof(f832,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(cons(sk8,X0))
        | ~ ssList(sk3)
        | ~ frontsegP(sk3,cons(sk8,X0))
        | sk3 = cons(sk8,X0) )
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f830]) ).

fof(f830,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(cons(sk8,X0))
        | ~ ssList(sk3)
        | ~ ssList(cons(sk8,X0))
        | ~ frontsegP(sk3,cons(sk8,X0))
        | sk3 = cons(sk8,X0) )
    | ~ spl0_55 ),
    inference(resolution,[],[f818,f129]) ).

fof(f819,plain,
    ( ~ spl0_22
    | spl0_55
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f806,f657,f817,f445]) ).

fof(f806,plain,
    ( ! [X0] :
        ( frontsegP(cons(sk8,X0),sk3)
        | ~ ssList(cons(sk8,X0))
        | ~ ssList(sk3)
        | ~ ssList(X0) )
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f805]) ).

fof(f805,plain,
    ( ! [X0] :
        ( frontsegP(cons(sk8,X0),sk3)
        | ~ ssList(cons(sk8,X0))
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl0_42 ),
    inference(superposition,[],[f217,f658]) ).

fof(f815,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_22
    | spl0_54 ),
    inference(avatar_split_clause,[],[f804,f812,f445,f328,f324]) ).

fof(f804,plain,
    ( frontsegP(sk3,app(sk6,cons(sk5,nil)))
    | ~ ssList(sk3)
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(sk7) ),
    inference(superposition,[],[f217,f205]) ).

fof(f659,plain,
    ( ~ spl0_5
    | spl0_42
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f646,f267,f657,f253]) ).

fof(f267,plain,
    ( spl0_8
  <=> sk3 = cons(sk8,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f646,plain,
    ( ! [X0] :
        ( cons(sk8,X0) = app(sk3,X0)
        | ~ ssList(X0)
        | ~ ssItem(sk8) )
    | ~ spl0_8 ),
    inference(superposition,[],[f120,f269]) ).

fof(f269,plain,
    ( sk3 = cons(sk8,nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f267]) ).

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(f606,plain,
    ( ~ spl0_17
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f579,f556,f373,f377]) ).

fof(f377,plain,
    ( spl0_17
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f373,plain,
    ( spl0_16
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f579,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_36 ),
    inference(trivial_inequality_removal,[],[f577]) ).

fof(f577,plain,
    ( nil != nil
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_36 ),
    inference(superposition,[],[f98,f558]) ).

fof(f558,plain,
    ( nil = cons(sk5,nil)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f556]) ).

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

fof(f560,plain,
    ( ~ spl0_14
    | spl0_36
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f552,f359,f320,f556,f363]) ).

fof(f552,plain,
    ( nil = cons(sk5,nil)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f74,f400]) ).

fof(f400,plain,
    ( nil = app(nil,cons(sk5,nil))
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f322,f361]) ).

fof(f361,plain,
    ( nil = sk6
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f322,plain,
    ( nil = app(sk6,cons(sk5,nil))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f320]) ).

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

fof(f489,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f488]) ).

fof(f488,plain,
    ( $false
    | spl0_22 ),
    inference(resolution,[],[f447,f203]) ).

fof(f203,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f447,plain,
    ( ~ ssList(sk3)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f443,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_21
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f347,f267,f440,f377,f253]) ).

fof(f347,plain,
    ( sk8 = hd(sk3)
    | ~ ssList(nil)
    | ~ ssItem(sk8)
    | ~ spl0_8 ),
    inference(superposition,[],[f97,f269]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f438,plain,
    ( ~ spl0_5
    | ~ spl0_17
    | spl0_20
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f348,f267,f435,f377,f253]) ).

fof(f348,plain,
    ( nil = tl(sk3)
    | ~ ssList(nil)
    | ~ ssItem(sk8)
    | ~ spl0_8 ),
    inference(superposition,[],[f96,f269]) ).

fof(f426,plain,
    ( ~ spl0_16
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f424,f411,f248,f373]) ).

fof(f248,plain,
    ( spl0_4
  <=> memberP(sk7,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f424,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(resolution,[],[f417,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f417,plain,
    ( memberP(nil,sk5)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(superposition,[],[f250,f413]) ).

fof(f413,plain,
    ( nil = sk7
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f250,plain,
    ( memberP(sk7,sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f398,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_12 ),
    inference(avatar_split_clause,[],[f397,f328,f367,f363]) ).

fof(f397,plain,
    ( ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | spl0_12 ),
    inference(resolution,[],[f330,f85]) ).

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

fof(f330,plain,
    ( ~ ssList(app(sk6,cons(sk5,nil)))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f396,plain,
    spl0_15,
    inference(avatar_contradiction_clause,[],[f395]) ).

fof(f395,plain,
    ( $false
    | spl0_15 ),
    inference(resolution,[],[f369,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f369,plain,
    ( ~ ssList(sk6)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f394,plain,
    ( ~ spl0_16
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f393,f359,f244,f373]) ).

fof(f244,plain,
    ( spl0_3
  <=> memberP(sk6,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f393,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(resolution,[],[f389,f71]) ).

fof(f389,plain,
    ( memberP(nil,sk5)
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(superposition,[],[f246,f361]) ).

fof(f246,plain,
    ( memberP(sk6,sk5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f386,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f385]) ).

fof(f385,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f326,f194]) ).

fof(f194,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f326,plain,
    ( ~ ssList(sk7)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f384,plain,
    spl0_16,
    inference(avatar_contradiction_clause,[],[f383]) ).

fof(f383,plain,
    ( $false
    | spl0_16 ),
    inference(resolution,[],[f375,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f375,plain,
    ( ~ ssItem(sk5)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f382,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f379,f8]) ).

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

fof(f379,plain,
    ( ~ ssList(nil)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f380,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_14 ),
    inference(avatar_split_clause,[],[f371,f363,f377,f373]) ).

fof(f371,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_14 ),
    inference(resolution,[],[f365,f86]) ).

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

fof(f365,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f370,plain,
    ( spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f356,f320,f367,f363,f359]) ).

fof(f356,plain,
    ( ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | nil = sk6
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f354]) ).

fof(f354,plain,
    ( nil != nil
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | nil = sk6
    | ~ spl0_10 ),
    inference(superposition,[],[f118,f322]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f332,plain,
    ( spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f313,f262,f328,f324,f320]) ).

fof(f262,plain,
    ( spl0_7
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f313,plain,
    ( nil != sk3
    | ~ ssList(app(sk6,cons(sk5,nil)))
    | ~ ssList(sk7)
    | nil = app(sk6,cons(sk5,nil)) ),
    inference(superposition,[],[f118,f205]) ).

fof(f276,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f201,f262,f267]) ).

fof(f201,axiom,
    ( nil = sk3
    | sk3 = cons(sk8,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f265,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f198,f262,f253]) ).

fof(f198,axiom,
    ( nil = sk3
    | ssItem(sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f251,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f248,f244]) ).

fof(f196,axiom,
    ( memberP(sk7,sk5)
    | memberP(sk6,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SWC187-1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.11  % 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
% 0.10/0.32  % Computer : n009.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sun May 19 03:51:07 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.32  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
% 0.46/0.65  % (23785)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)
% 0.46/0.65  % (23789)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)
% 0.46/0.65  % (23784)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)
% 0.46/0.65  % (23786)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.46/0.65  % (23787)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)
% 0.46/0.65  % (23790)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)
% 0.46/0.65  % (23791)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)
% 0.46/0.65  % (23791)Refutation not found, incomplete strategy% (23791)------------------------------
% 0.46/0.65  % (23791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65  % (23791)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65  
% 0.46/0.65  % (23791)Memory used [KB]: 1173
% 0.46/0.65  % (23791)Time elapsed: 0.004 s
% 0.46/0.65  % (23791)Instructions burned: 4 (million)
% 0.46/0.65  % (23791)------------------------------
% 0.46/0.65  % (23791)------------------------------
% 0.46/0.65  % (23788)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)
% 0.46/0.65  % (23784)Refutation not found, incomplete strategy% (23784)------------------------------
% 0.46/0.65  % (23784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65  % (23784)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65  
% 0.46/0.65  % (23784)Memory used [KB]: 1213
% 0.46/0.65  % (23784)Time elapsed: 0.007 s
% 0.46/0.65  % (23784)Instructions burned: 8 (million)
% 0.46/0.65  % (23784)------------------------------
% 0.46/0.65  % (23784)------------------------------
% 0.46/0.65  % (23792)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 (2996ds/55Mi)
% 0.46/0.66  % (23793)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 (2996ds/50Mi)
% 0.46/0.66  % (23788)Refutation not found, incomplete strategy% (23788)------------------------------
% 0.46/0.66  % (23788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66  % (23788)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66  
% 0.46/0.66  % (23788)Memory used [KB]: 1360
% 0.46/0.66  % (23788)Time elapsed: 0.009 s
% 0.46/0.66  % (23788)Instructions burned: 14 (million)
% 0.46/0.66  % (23788)------------------------------
% 0.46/0.66  % (23788)------------------------------
% 0.46/0.66  % (23785)First to succeed.
% 0.46/0.66  % (23789)Instruction limit reached!
% 0.46/0.66  % (23789)------------------------------
% 0.46/0.66  % (23789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66  % (23789)Termination reason: Unknown
% 0.46/0.66  % (23789)Termination phase: Saturation
% 0.46/0.66  
% 0.46/0.66  % (23789)Memory used [KB]: 1720
% 0.46/0.66  % (23789)Time elapsed: 0.015 s
% 0.46/0.66  % (23789)Instructions burned: 46 (million)
% 0.46/0.66  % (23789)------------------------------
% 0.46/0.66  % (23789)------------------------------
% 0.46/0.66  % (23785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23783"
% 0.46/0.66  % (23785)Refutation found. Thanks to Tanya!
% 0.46/0.66  % SZS status Unsatisfiable for theBenchmark
% 0.46/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.66  % (23785)------------------------------
% 0.46/0.66  % (23785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66  % (23785)Termination reason: Refutation
% 0.46/0.66  
% 0.46/0.66  % (23785)Memory used [KB]: 1677
% 0.46/0.66  % (23785)Time elapsed: 0.016 s
% 0.46/0.66  % (23785)Instructions burned: 44 (million)
% 0.46/0.66  % (23783)Success in time 0.329 s
% 0.46/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------