TSTP Solution File: SWC299-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC299-1 : 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 : 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 : Tue May 21 04:37:56 EDT 2024

% Result   : Unsatisfiable 0.70s 0.78s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  141 (  21 unt;   0 def)
%            Number of atoms       :  477 (  57 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  664 ( 328   ~; 325   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  12 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1337,plain,
    $false,
    inference(avatar_sat_refutation,[],[f251,f282,f295,f329,f335,f344,f375,f378,f444,f458,f473,f1336]) ).

fof(f1336,plain,
    ( ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(avatar_contradiction_clause,[],[f1335]) ).

fof(f1335,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f1325,f1321]) ).

fof(f1321,plain,
    ( lt(sk5,sk5)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(superposition,[],[f198,f1254]) ).

fof(f1254,plain,
    ( sk5 = sk6
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(superposition,[],[f1205,f1121]) ).

fof(f1121,plain,
    ( sk6 = sk10
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f1119,f193]) ).

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

fof(f1119,plain,
    ( ~ ssItem(sk6)
    | sk6 = sk10
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(resolution,[],[f1033,f1013]) ).

fof(f1013,plain,
    ( memberP(sk3,sk6)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f1012,f193]) ).

fof(f1012,plain,
    ( ~ ssItem(sk6)
    | memberP(sk3,sk6)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(resolution,[],[f960,f615]) ).

fof(f615,plain,
    ( ! [X0] :
        ( ~ memberP(sF4,X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | ~ spl9_17 ),
    inference(forward_demodulation,[],[f614,f227]) ).

fof(f227,plain,
    sk3 = sF5,
    inference(definition_folding,[],[f215,f226,f225,f224,f223,f222,f221]) ).

fof(f221,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f222,plain,
    app(sk7,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f223,plain,
    app(sF1,sk8) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f224,plain,
    cons(sk6,nil) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f225,plain,
    app(sF2,sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f226,plain,
    app(sF4,sk9) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f215,plain,
    sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    inference(definition_unfolding,[],[f197,f191]) ).

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

fof(f197,axiom,
    sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f614,plain,
    ( ! [X0] :
        ( memberP(sF5,X0)
        | ~ ssItem(X0)
        | ~ memberP(sF4,X0) )
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f613,f196]) ).

fof(f196,axiom,
    ssList(sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f613,plain,
    ( ! [X0] :
        ( memberP(sF5,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk9)
        | ~ memberP(sF4,X0) )
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f592,f343]) ).

fof(f343,plain,
    ( ssList(sF4)
    | ~ spl9_17 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f341,plain,
    ( spl9_17
  <=> ssList(sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).

fof(f592,plain,
    ! [X0] :
      ( memberP(sF5,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF4)
      | ~ ssList(sk9)
      | ~ memberP(sF4,X0) ),
    inference(superposition,[],[f140,f226]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f960,plain,
    ( memberP(sF4,sk6)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(subsumption_resolution,[],[f959,f193]) ).

fof(f959,plain,
    ( ~ ssItem(sk6)
    | memberP(sF4,sk6)
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(resolution,[],[f647,f395]) ).

fof(f395,plain,
    ( memberP(sF3,sk6)
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f394,f288]) ).

fof(f288,plain,
    ( ssList(nil)
    | ~ spl9_10 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl9_10
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).

fof(f394,plain,
    ( memberP(sF3,sk6)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f390,f193]) ).

fof(f390,plain,
    ( memberP(sF3,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(nil) ),
    inference(superposition,[],[f235,f224]) ).

fof(f235,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f220]) ).

fof(f220,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f647,plain,
    ( ! [X0] :
        ( ~ memberP(sF3,X0)
        | ~ ssItem(X0)
        | memberP(sF4,X0) )
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(subsumption_resolution,[],[f646,f338]) ).

fof(f338,plain,
    ( ssList(sF3)
    | ~ spl9_16 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl9_16
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).

fof(f646,plain,
    ( ! [X0] :
        ( memberP(sF4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF3)
        | ~ memberP(sF3,X0) )
    | ~ spl9_15 ),
    inference(subsumption_resolution,[],[f629,f334]) ).

fof(f334,plain,
    ( ssList(sF2)
    | ~ spl9_15 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl9_15
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).

fof(f629,plain,
    ! [X0] :
      ( memberP(sF4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF3)
      | ~ memberP(sF3,X0) ),
    inference(superposition,[],[f141,f225]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f1033,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10 ),
    inference(forward_demodulation,[],[f1032,f265]) ).

fof(f265,plain,
    ( sk3 = sF6
    | ~ spl9_6 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f263,plain,
    ( spl9_6
  <=> sk3 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

fof(f1032,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl9_1
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f1031,f71]) ).

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

fof(f1031,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl9_1
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f1030,f288]) ).

fof(f1030,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | sk10 = X0 )
    | ~ spl9_1 ),
    inference(subsumption_resolution,[],[f1020,f241]) ).

fof(f241,plain,
    ( ssItem(sk10)
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl9_1
  <=> ssItem(sk10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f1020,plain,
    ! [X0] :
      ( ~ memberP(sF6,X0)
      | memberP(nil,X0)
      | ~ ssItem(X0)
      | ~ ssItem(sk10)
      | ~ ssList(nil)
      | sk10 = X0 ),
    inference(superposition,[],[f161,f228]) ).

fof(f228,plain,
    cons(sk10,nil) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f1205,plain,
    ( sk5 = sk10
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f1203,f192]) ).

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

fof(f1203,plain,
    ( ~ ssItem(sk5)
    | sk5 = sk10
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(resolution,[],[f1202,f1033]) ).

fof(f1202,plain,
    ( memberP(sk3,sk5)
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f1201,f192]) ).

fof(f1201,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(resolution,[],[f1200,f615]) ).

fof(f1200,plain,
    ( memberP(sF4,sk5)
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(subsumption_resolution,[],[f1199,f192]) ).

fof(f1199,plain,
    ( ~ ssItem(sk5)
    | memberP(sF4,sk5)
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(resolution,[],[f1198,f612]) ).

fof(f612,plain,
    ( ! [X0] :
        ( ~ memberP(sF2,X0)
        | ~ ssItem(X0)
        | memberP(sF4,X0) )
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(subsumption_resolution,[],[f611,f338]) ).

fof(f611,plain,
    ( ! [X0] :
        ( memberP(sF4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF3)
        | ~ memberP(sF2,X0) )
    | ~ spl9_15 ),
    inference(subsumption_resolution,[],[f591,f334]) ).

fof(f591,plain,
    ! [X0] :
      ( memberP(sF4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF3)
      | ~ memberP(sF2,X0) ),
    inference(superposition,[],[f140,f225]) ).

fof(f1198,plain,
    ( memberP(sF2,sk5)
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14 ),
    inference(subsumption_resolution,[],[f1197,f192]) ).

fof(f1197,plain,
    ( ~ ssItem(sk5)
    | memberP(sF2,sk5)
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14 ),
    inference(resolution,[],[f1196,f609]) ).

fof(f609,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | ~ ssItem(X0)
        | memberP(sF2,X0) )
    | ~ spl9_14 ),
    inference(subsumption_resolution,[],[f608,f195]) ).

fof(f195,axiom,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f608,plain,
    ( ! [X0] :
        ( memberP(sF2,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk8)
        | ~ memberP(sF1,X0) )
    | ~ spl9_14 ),
    inference(subsumption_resolution,[],[f590,f328]) ).

fof(f328,plain,
    ( ssList(sF1)
    | ~ spl9_14 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl9_14
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).

fof(f590,plain,
    ! [X0] :
      ( memberP(sF2,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF1)
      | ~ ssList(sk8)
      | ~ memberP(sF1,X0) ),
    inference(superposition,[],[f140,f223]) ).

fof(f1196,plain,
    ( memberP(sF1,sk5)
    | ~ spl9_10
    | ~ spl9_13 ),
    inference(subsumption_resolution,[],[f1195,f192]) ).

fof(f1195,plain,
    ( ~ ssItem(sk5)
    | memberP(sF1,sk5)
    | ~ spl9_10
    | ~ spl9_13 ),
    inference(resolution,[],[f641,f393]) ).

fof(f393,plain,
    ( memberP(sF0,sk5)
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f392,f288]) ).

fof(f392,plain,
    ( memberP(sF0,sk5)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f389,f192]) ).

fof(f389,plain,
    ( memberP(sF0,sk5)
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f235,f221]) ).

fof(f641,plain,
    ( ! [X0] :
        ( ~ memberP(sF0,X0)
        | ~ ssItem(X0)
        | memberP(sF1,X0) )
    | ~ spl9_13 ),
    inference(subsumption_resolution,[],[f640,f323]) ).

fof(f323,plain,
    ( ssList(sF0)
    | ~ spl9_13 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f322,plain,
    ( spl9_13
  <=> ssList(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).

fof(f640,plain,
    ! [X0] :
      ( memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF0)
      | ~ memberP(sF0,X0) ),
    inference(subsumption_resolution,[],[f624,f194]) ).

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

fof(f624,plain,
    ! [X0] :
      ( memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(sF0)
      | ~ memberP(sF0,X0) ),
    inference(superposition,[],[f141,f222]) ).

fof(f198,axiom,
    lt(sk6,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f1325,plain,
    ( ~ lt(sk5,sk5)
    | ~ spl9_1
    | ~ spl9_6
    | ~ spl9_10
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17 ),
    inference(superposition,[],[f401,f1254]) ).

fof(f401,plain,
    ~ lt(sk5,sk6),
    inference(subsumption_resolution,[],[f400,f193]) ).

fof(f400,plain,
    ( ~ ssItem(sk6)
    | ~ lt(sk5,sk6) ),
    inference(subsumption_resolution,[],[f399,f192]) ).

fof(f399,plain,
    ( ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | ~ lt(sk5,sk6) ),
    inference(resolution,[],[f114,f198]) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f473,plain,
    ( ~ spl9_24
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(avatar_split_clause,[],[f472,f337,f332,f287,f434]) ).

fof(f434,plain,
    ( spl9_24
  <=> nil = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).

fof(f472,plain,
    ( nil != sF4
    | ~ spl9_10
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(subsumption_resolution,[],[f471,f385]) ).

fof(f385,plain,
    ( nil != sF3
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f384,f288]) ).

fof(f384,plain,
    ( nil != sF3
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f380,f193]) ).

fof(f380,plain,
    ( nil != sF3
    | ~ ssItem(sk6)
    | ~ ssList(nil) ),
    inference(superposition,[],[f98,f224]) ).

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

fof(f471,plain,
    ( nil != sF4
    | nil = sF3
    | ~ spl9_15
    | ~ spl9_16 ),
    inference(subsumption_resolution,[],[f470,f338]) ).

fof(f470,plain,
    ( nil != sF4
    | ~ ssList(sF3)
    | nil = sF3
    | ~ spl9_15 ),
    inference(subsumption_resolution,[],[f452,f334]) ).

fof(f452,plain,
    ( nil != sF4
    | ~ ssList(sF2)
    | ~ ssList(sF3)
    | nil = sF3 ),
    inference(superposition,[],[f119,f225]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f458,plain,
    ( ~ spl9_3
    | spl9_25 ),
    inference(avatar_contradiction_clause,[],[f457]) ).

fof(f457,plain,
    ( $false
    | ~ spl9_3
    | spl9_25 ),
    inference(subsumption_resolution,[],[f456,f250]) ).

fof(f250,plain,
    ( nil = sk3
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl9_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f456,plain,
    ( nil != sk3
    | spl9_25 ),
    inference(superposition,[],[f443,f227]) ).

fof(f443,plain,
    ( nil != sF5
    | spl9_25 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl9_25
  <=> nil = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).

fof(f444,plain,
    ( spl9_24
    | ~ spl9_25
    | ~ spl9_17 ),
    inference(avatar_split_clause,[],[f439,f341,f441,f434]) ).

fof(f439,plain,
    ( nil != sF5
    | nil = sF4
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f438,f196]) ).

fof(f438,plain,
    ( nil != sF5
    | ~ ssList(sk9)
    | nil = sF4
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f410,f343]) ).

fof(f410,plain,
    ( nil != sF5
    | ~ ssList(sF4)
    | ~ ssList(sk9)
    | nil = sF4 ),
    inference(superposition,[],[f118,f226]) ).

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

fof(f378,plain,
    ( spl9_16
    | ~ spl9_10 ),
    inference(avatar_split_clause,[],[f377,f287,f337]) ).

fof(f377,plain,
    ( ssList(sF3)
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f376,f193]) ).

fof(f376,plain,
    ( ssList(sF3)
    | ~ ssItem(sk6)
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f357,f288]) ).

fof(f357,plain,
    ( ssList(sF3)
    | ~ ssList(nil)
    | ~ ssItem(sk6) ),
    inference(superposition,[],[f86,f224]) ).

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

fof(f375,plain,
    ( spl9_13
    | ~ spl9_10 ),
    inference(avatar_split_clause,[],[f374,f287,f322]) ).

fof(f374,plain,
    ( ssList(sF0)
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f373,f192]) ).

fof(f373,plain,
    ( ssList(sF0)
    | ~ ssItem(sk5)
    | ~ spl9_10 ),
    inference(subsumption_resolution,[],[f356,f288]) ).

fof(f356,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f221]) ).

fof(f344,plain,
    ( ~ spl9_16
    | ~ spl9_15
    | spl9_17 ),
    inference(avatar_split_clause,[],[f314,f341,f332,f337]) ).

fof(f314,plain,
    ( ssList(sF4)
    | ~ ssList(sF2)
    | ~ ssList(sF3) ),
    inference(superposition,[],[f85,f225]) ).

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

fof(f335,plain,
    ( ~ spl9_14
    | spl9_15 ),
    inference(avatar_split_clause,[],[f330,f332,f326]) ).

fof(f330,plain,
    ( ssList(sF2)
    | ~ ssList(sF1) ),
    inference(subsumption_resolution,[],[f313,f195]) ).

fof(f313,plain,
    ( ssList(sF2)
    | ~ ssList(sF1)
    | ~ ssList(sk8) ),
    inference(superposition,[],[f85,f223]) ).

fof(f329,plain,
    ( ~ spl9_13
    | spl9_14 ),
    inference(avatar_split_clause,[],[f320,f326,f322]) ).

fof(f320,plain,
    ( ssList(sF1)
    | ~ ssList(sF0) ),
    inference(subsumption_resolution,[],[f310,f194]) ).

fof(f310,plain,
    ( ssList(sF1)
    | ~ ssList(sk7)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f85,f222]) ).

fof(f295,plain,
    spl9_10,
    inference(avatar_split_clause,[],[f8,f287]) ).

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

fof(f282,plain,
    ( spl9_6
    | spl9_3 ),
    inference(avatar_split_clause,[],[f233,f248,f263]) ).

fof(f233,plain,
    ( nil = sk3
    | sk3 = sF6 ),
    inference(definition_folding,[],[f209,f228]) ).

fof(f209,axiom,
    ( nil = sk3
    | sk3 = cons(sk10,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).

fof(f251,plain,
    ( spl9_1
    | spl9_3 ),
    inference(avatar_split_clause,[],[f200,f248,f239]) ).

fof(f200,axiom,
    ( nil = sk3
    | ssItem(sk10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWC299-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 03:51:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35  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
% 0.55/0.74  % (30341)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)
% 0.55/0.74  % (30335)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)
% 0.55/0.74  % (30337)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74  % (30336)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)
% 0.55/0.74  % (30338)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)
% 0.55/0.74  % (30339)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)
% 0.55/0.74  % (30340)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)
% 0.55/0.74  % (30342)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)
% 0.55/0.76  % (30338)Instruction limit reached!
% 0.55/0.76  % (30338)------------------------------
% 0.55/0.76  % (30338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (30339)Instruction limit reached!
% 0.55/0.76  % (30339)------------------------------
% 0.55/0.76  % (30339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (30338)Termination reason: Unknown
% 0.55/0.76  % (30338)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (30338)Memory used [KB]: 1708
% 0.55/0.76  % (30338)Time elapsed: 0.020 s
% 0.55/0.76  % (30338)Instructions burned: 33 (million)
% 0.55/0.76  % (30338)------------------------------
% 0.55/0.76  % (30338)------------------------------
% 0.55/0.76  % (30339)Termination reason: Unknown
% 0.55/0.76  % (30339)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (30339)Memory used [KB]: 1594
% 0.55/0.76  % (30339)Time elapsed: 0.020 s
% 0.55/0.76  % (30339)Instructions burned: 35 (million)
% 0.55/0.76  % (30339)------------------------------
% 0.55/0.76  % (30339)------------------------------
% 0.55/0.76  % (30341)Instruction limit reached!
% 0.55/0.76  % (30341)------------------------------
% 0.55/0.76  % (30341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (30341)Termination reason: Unknown
% 0.55/0.76  % (30341)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (30341)Memory used [KB]: 2154
% 0.55/0.76  % (30341)Time elapsed: 0.023 s
% 0.55/0.76  % (30341)Instructions burned: 84 (million)
% 0.55/0.76  % (30341)------------------------------
% 0.55/0.76  % (30341)------------------------------
% 0.55/0.76  % (30335)Instruction limit reached!
% 0.55/0.76  % (30335)------------------------------
% 0.55/0.76  % (30335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (30335)Termination reason: Unknown
% 0.55/0.76  % (30335)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (30335)Memory used [KB]: 1549
% 0.55/0.76  % (30335)Time elapsed: 0.023 s
% 0.55/0.76  % (30335)Instructions burned: 35 (million)
% 0.55/0.76  % (30335)------------------------------
% 0.55/0.76  % (30335)------------------------------
% 0.55/0.76  % (30344)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)
% 0.55/0.76  % (30343)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)
% 0.55/0.76  % (30345)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 (2996ds/208Mi)
% 0.55/0.77  % (30346)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 (2996ds/52Mi)
% 0.55/0.77  % (30340)Instruction limit reached!
% 0.55/0.77  % (30340)------------------------------
% 0.55/0.77  % (30340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (30340)Termination reason: Unknown
% 0.55/0.77  % (30340)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (30340)Memory used [KB]: 1736
% 0.55/0.77  % (30340)Time elapsed: 0.028 s
% 0.55/0.77  % (30340)Instructions burned: 45 (million)
% 0.55/0.77  % (30340)------------------------------
% 0.55/0.77  % (30340)------------------------------
% 0.70/0.77  % (30347)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 (2996ds/518Mi)
% 0.70/0.78  % (30345)First to succeed.
% 0.70/0.78  % (30345)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30331"
% 0.70/0.78  % (30345)Refutation found. Thanks to Tanya!
% 0.70/0.78  % SZS status Unsatisfiable for theBenchmark
% 0.70/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.78  % (30345)------------------------------
% 0.70/0.78  % (30345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.78  % (30345)Termination reason: Refutation
% 0.70/0.78  
% 0.70/0.78  % (30345)Memory used [KB]: 1466
% 0.70/0.78  % (30345)Time elapsed: 0.014 s
% 0.70/0.78  % (30345)Instructions burned: 41 (million)
% 0.70/0.78  % (30331)Success in time 0.403 s
% 0.70/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------