TSTP Solution File: SWC015-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC015-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 04:35:34 EDT 2024

% Result   : Unsatisfiable 0.67s 0.79s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  139 (  12 unt;   0 def)
%            Number of atoms       :  410 ( 104 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  488 ( 217   ~; 256   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  16 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1076,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f238,f270,f282,f318,f325,f399,f406,f656,f664,f734,f880,f923,f938,f1014,f1071]) ).

fof(f1071,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1070]) ).

fof(f1070,plain,
    ( $false
    | ~ spl0_3
    | spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1069,f228]) ).

fof(f228,plain,
    ( ssList(tl(sk4))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_3
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1069,plain,
    ( ~ ssList(tl(sk4))
    | spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1068,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f1068,plain,
    ( ~ ssList(nil)
    | ~ ssList(tl(sk4))
    | spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1067,f362]) ).

fof(f362,plain,
    ( nil != tl(sk3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f361,plain,
    ( spl0_10
  <=> nil = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1067,plain,
    ( nil = tl(sk3)
    | ~ ssList(nil)
    | ~ ssList(tl(sk4))
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1063]) ).

fof(f1063,plain,
    ( tl(sk4) != tl(sk4)
    | nil = tl(sk3)
    | ~ ssList(nil)
    | ~ ssList(tl(sk4))
    | ~ spl0_16 ),
    inference(superposition,[],[f396,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f396,plain,
    ( ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | tl(sk3) = X0
        | ~ ssList(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl0_16
  <=> ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | tl(sk3) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1014,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_10
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | ~ spl0_10
    | ~ spl0_31
    | ~ spl0_32 ),
    inference(unit_resulting_resolution,[],[f661,f228,f655,f967,f246]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( cons(X0,nil) != sk3
      | cons(X0,X1) != sk4
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | cons(X0,nil) != sk3
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f235,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f235,plain,
    ! [X6,X7] :
      ( sk4 != app(cons(X6,nil),X7)
      | sk3 != cons(X6,nil)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(subsumption_resolution,[],[f204,f216]) ).

fof(f216,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f204,plain,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | sk4 != app(cons(X6,nil),X7)
      | sk3 != cons(X6,nil)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f197,axiom,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | sk2 != app(cons(X6,nil),X7)
      | sk1 != cons(X6,nil)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f967,plain,
    ( sk3 = cons(hd(sk3),nil)
    | spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f966,f198]) ).

fof(f198,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f966,plain,
    ( sk3 = cons(hd(sk3),nil)
    | ~ ssList(sk3)
    | spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f965,f298]) ).

fof(f298,plain,
    ( nil != sk3
    | spl0_5 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl0_5
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f965,plain,
    ( sk3 = cons(hd(sk3),nil)
    | nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_10 ),
    inference(superposition,[],[f104,f363]) ).

fof(f363,plain,
    ( nil = tl(sk3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f655,plain,
    ( sk4 = cons(hd(sk3),tl(sk4))
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl0_31
  <=> sk4 = cons(hd(sk3),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f661,plain,
    ( ssItem(hd(sk3))
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f659,plain,
    ( spl0_32
  <=> ssItem(hd(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f938,plain,
    ( spl0_26
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f937,f297,f227,f223,f621]) ).

fof(f621,plain,
    ( spl0_26
  <=> sk4 = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f223,plain,
    ( spl0_2
  <=> sk4 = app(sk3,tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f937,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f795,f228]) ).

fof(f795,plain,
    ( sk4 = tl(sk4)
    | ~ ssList(tl(sk4))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f667,f74]) ).

fof(f667,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f225,f299]) ).

fof(f299,plain,
    ( nil = sk3
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f225,plain,
    ( sk4 = app(sk3,tl(sk4))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f923,plain,
    ( spl0_6
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f922]) ).

fof(f922,plain,
    ( $false
    | spl0_6
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f921,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f921,plain,
    ( ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f919,f841]) ).

fof(f841,plain,
    ( ssItem(hd(sk4))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f840,plain,
    ( spl0_34
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f919,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f911]) ).

fof(f911,plain,
    ( sk4 != sk4
    | ~ ssItem(hd(sk4))
    | ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(superposition,[],[f99,f793]) ).

fof(f793,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f792,f199]) ).

fof(f792,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f787,f303]) ).

fof(f303,plain,
    ( nil != sk4
    | spl0_6 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f301,plain,
    ( spl0_6
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f787,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_26 ),
    inference(superposition,[],[f104,f622]) ).

fof(f622,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f880,plain,
    ( spl0_6
    | spl0_34 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | spl0_6
    | spl0_34 ),
    inference(subsumption_resolution,[],[f878,f199]) ).

fof(f878,plain,
    ( ~ ssList(sk4)
    | spl0_6
    | spl0_34 ),
    inference(subsumption_resolution,[],[f872,f303]) ).

fof(f872,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_34 ),
    inference(resolution,[],[f842,f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f842,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f734,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f733]) ).

fof(f733,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f730,f8]) ).

fof(f730,plain,
    ( ~ ssList(nil)
    | ~ spl0_6 ),
    inference(resolution,[],[f682,f214]) ).

fof(f214,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,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/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f682,plain,
    ( neq(nil,nil)
    | ~ spl0_6 ),
    inference(superposition,[],[f216,f302]) ).

fof(f302,plain,
    ( nil = sk4
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f664,plain,
    ( spl0_6
    | spl0_32
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f663,f315,f659,f301]) ).

fof(f315,plain,
    ( spl0_8
  <=> hd(sk3) = hd(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f663,plain,
    ( ssItem(hd(sk3))
    | nil = sk4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f332,f199]) ).

fof(f332,plain,
    ( ssItem(hd(sk3))
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f317]) ).

fof(f317,plain,
    ( hd(sk3) = hd(sk4)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f656,plain,
    ( spl0_6
    | spl0_31
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f651,f315,f653,f301]) ).

fof(f651,plain,
    ( sk4 = cons(hd(sk3),tl(sk4))
    | nil = sk4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f334,f199]) ).

fof(f334,plain,
    ( sk4 = cons(hd(sk3),tl(sk4))
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_8 ),
    inference(superposition,[],[f104,f317]) ).

fof(f406,plain,
    ( spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f405,f365,f297]) ).

fof(f365,plain,
    ( spl0_11
  <=> ssList(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f405,plain,
    ( nil = sk3
    | spl0_11 ),
    inference(subsumption_resolution,[],[f402,f198]) ).

fof(f402,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | spl0_11 ),
    inference(resolution,[],[f367,f77]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f367,plain,
    ( ~ ssList(tl(sk3))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f399,plain,
    ( ~ spl0_11
    | spl0_16
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f398,f322,f227,f395,f365]) ).

fof(f322,plain,
    ( spl0_9
  <=> tl(sk4) = app(tl(sk3),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f398,plain,
    ( ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | ~ ssList(tl(sk3))
        | ~ ssList(X0)
        | tl(sk3) = X0 )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f358,f228]) ).

fof(f358,plain,
    ( ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | ~ ssList(tl(sk3))
        | ~ ssList(tl(sk4))
        | ~ ssList(X0)
        | tl(sk3) = X0 )
    | ~ spl0_9 ),
    inference(superposition,[],[f151,f324]) ).

fof(f324,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X2,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f325,plain,
    ( spl0_5
    | spl0_9
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f320,f227,f223,f322,f297]) ).

fof(f320,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | nil = sk3
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f319,f228]) ).

fof(f319,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | nil = sk3
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f288,f198]) ).

fof(f288,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(superposition,[],[f133,f225]) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( tl(app(X1,X0)) = app(tl(X1),X0)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f318,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f313,f227,f223,f315,f297]) ).

fof(f313,plain,
    ( hd(sk3) = hd(sk4)
    | nil = sk3
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f312,f228]) ).

fof(f312,plain,
    ( hd(sk3) = hd(sk4)
    | nil = sk3
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f287,f198]) ).

fof(f287,plain,
    ( hd(sk3) = hd(sk4)
    | nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(superposition,[],[f123,f225]) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( hd(app(X1,X0)) = hd(X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f282,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f281]) ).

fof(f281,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f279,f276]) ).

fof(f276,plain,
    ( neq(nil,nil)
    | spl0_4 ),
    inference(superposition,[],[f216,f274]) ).

fof(f274,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f273,f199]) ).

fof(f273,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f271,f8]) ).

fof(f271,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(resolution,[],[f233,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f233,plain,
    ( ~ neq(nil,sk4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_4
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f279,plain,
    ( ~ neq(nil,nil)
    | spl0_4 ),
    inference(superposition,[],[f233,f274]) ).

fof(f270,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f266,f8]) ).

fof(f266,plain,
    ( ~ ssList(nil)
    | spl0_3 ),
    inference(resolution,[],[f255,f214]) ).

fof(f255,plain,
    ( neq(nil,nil)
    | spl0_3 ),
    inference(superposition,[],[f216,f241]) ).

fof(f241,plain,
    ( nil = sk4
    | spl0_3 ),
    inference(subsumption_resolution,[],[f239,f199]) ).

fof(f239,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_3 ),
    inference(resolution,[],[f229,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f229,plain,
    ( ~ ssList(tl(sk4))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f238,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f237,f219,f227]) ).

fof(f219,plain,
    ( spl0_1
  <=> ssList(app(sk3,tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f237,plain,
    ( ~ ssList(tl(sk4))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f236,f198]) ).

fof(f236,plain,
    ( ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | spl0_1 ),
    inference(resolution,[],[f221,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f221,plain,
    ( ~ ssList(app(sk3,tl(sk4)))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f234,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f217,f231,f227,f223,f219]) ).

fof(f217,plain,
    ( ~ neq(nil,sk4)
    | ~ ssList(tl(sk4))
    | sk4 = app(sk3,tl(sk4))
    | ~ ssList(app(sk3,tl(sk4))) ),
    inference(subsumption_resolution,[],[f208,f216]) ).

fof(f208,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssList(tl(sk4))
    | sk4 = app(sk3,tl(sk4))
    | ~ ssList(app(sk3,tl(sk4))) ),
    inference(equality_resolution,[],[f207]) ).

fof(f207,plain,
    ! [X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ ssList(X7)
      | sk4 = app(sk3,X7)
      | ~ ssList(app(sk3,X7)) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | app(sk3,X7) != X6
      | tl(sk4) != X7
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.09  % Problem    : SWC015-1 : TPTP v8.2.0. Released v2.4.0.
% 0.01/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sun May 19 03:34:23 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.09/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.73  % (16663)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.55/0.73  % (16666)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.55/0.73  % (16664)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.55/0.73  % (16668)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 (2995ds/56Mi)
% 0.55/0.73  % (16665)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 (2995ds/34Mi)
% 0.55/0.74  % (16667)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 (2995ds/83Mi)
% 0.55/0.74  % (16668)Refutation not found, incomplete strategy% (16668)------------------------------
% 0.55/0.74  % (16668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16668)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16668)Memory used [KB]: 1188
% 0.55/0.74  % (16668)Time elapsed: 0.004 s
% 0.55/0.74  % (16668)Instructions burned: 4 (million)
% 0.55/0.74  % (16668)------------------------------
% 0.55/0.74  % (16668)------------------------------
% 0.55/0.74  % (16665)Refutation not found, incomplete strategy% (16665)------------------------------
% 0.55/0.74  % (16665)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16665)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16665)Memory used [KB]: 1279
% 0.55/0.74  % (16665)Time elapsed: 0.006 s
% 0.55/0.74  % (16665)Instructions burned: 12 (million)
% 0.55/0.74  % (16665)------------------------------
% 0.55/0.74  % (16665)------------------------------
% 0.55/0.74  % (16669)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)
% 0.55/0.74  % (16661)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 (2995ds/34Mi)
% 0.55/0.74  % (16670)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)
% 0.55/0.75  % (16662)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 (2995ds/51Mi)
% 0.55/0.75  % (16664)Instruction limit reached!
% 0.55/0.75  % (16664)------------------------------
% 0.55/0.75  % (16664)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (16664)Termination reason: Unknown
% 0.55/0.75  % (16664)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (16664)Memory used [KB]: 1693
% 0.55/0.75  % (16664)Time elapsed: 0.016 s
% 0.55/0.75  % (16664)Instructions burned: 33 (million)
% 0.55/0.75  % (16664)------------------------------
% 0.55/0.75  % (16664)------------------------------
% 0.55/0.75  % (16671)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)
% 0.55/0.76  % (16666)Instruction limit reached!
% 0.55/0.76  % (16666)------------------------------
% 0.55/0.76  % (16666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16666)Termination reason: Unknown
% 0.55/0.76  % (16666)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (16666)Memory used [KB]: 1719
% 0.55/0.76  % (16666)Time elapsed: 0.024 s
% 0.55/0.76  % (16666)Instructions burned: 47 (million)
% 0.55/0.76  % (16666)------------------------------
% 0.55/0.76  % (16666)------------------------------
% 0.55/0.76  % (16661)Instruction limit reached!
% 0.55/0.76  % (16661)------------------------------
% 0.55/0.76  % (16661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16661)Termination reason: Unknown
% 0.55/0.76  % (16661)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (16661)Memory used [KB]: 1332
% 0.55/0.76  % (16661)Time elapsed: 0.016 s
% 0.55/0.76  % (16661)Instructions burned: 34 (million)
% 0.55/0.76  % (16661)------------------------------
% 0.55/0.76  % (16661)------------------------------
% 0.55/0.76  % (16673)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)
% 0.55/0.77  % (16670)Instruction limit reached!
% 0.55/0.77  % (16670)------------------------------
% 0.55/0.77  % (16670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (16670)Termination reason: Unknown
% 0.55/0.77  % (16670)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (16670)Memory used [KB]: 1713
% 0.55/0.77  % (16670)Time elapsed: 0.024 s
% 0.55/0.77  % (16670)Instructions burned: 52 (million)
% 0.55/0.77  % (16670)------------------------------
% 0.55/0.77  % (16670)------------------------------
% 0.67/0.77  % (16669)Instruction limit reached!
% 0.67/0.77  % (16669)------------------------------
% 0.67/0.77  % (16669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.77  % (16669)Termination reason: Unknown
% 0.67/0.77  % (16669)Termination phase: Saturation
% 0.67/0.77  
% 0.67/0.77  % (16669)Memory used [KB]: 2104
% 0.67/0.77  % (16669)Time elapsed: 0.029 s
% 0.67/0.77  % (16669)Instructions burned: 56 (million)
% 0.67/0.77  % (16669)------------------------------
% 0.67/0.77  % (16669)------------------------------
% 0.67/0.77  % (16672)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)
% 0.67/0.77  % (16674)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)
% 0.67/0.77  % (16675)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)
% 0.67/0.77  % (16674)Refutation not found, incomplete strategy% (16674)------------------------------
% 0.67/0.77  % (16674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.77  % (16674)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.77  
% 0.67/0.77  % (16674)Memory used [KB]: 1278
% 0.67/0.77  % (16674)Time elapsed: 0.006 s
% 0.67/0.77  % (16674)Instructions burned: 8 (million)
% 0.67/0.77  % (16674)------------------------------
% 0.67/0.77  % (16674)------------------------------
% 0.67/0.78  % (16662)Instruction limit reached!
% 0.67/0.78  % (16662)------------------------------
% 0.67/0.78  % (16662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.78  % (16662)Termination reason: Unknown
% 0.67/0.78  % (16662)Termination phase: Saturation
% 0.67/0.78  
% 0.67/0.78  % (16662)Memory used [KB]: 2008
% 0.67/0.78  % (16662)Time elapsed: 0.031 s
% 0.67/0.78  % (16662)Instructions burned: 52 (million)
% 0.67/0.78  % (16662)------------------------------
% 0.67/0.78  % (16662)------------------------------
% 0.67/0.78  % (16676)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)
% 0.67/0.78  % (16667)Instruction limit reached!
% 0.67/0.78  % (16667)------------------------------
% 0.67/0.78  % (16667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.78  % (16667)Termination reason: Unknown
% 0.67/0.78  % (16667)Termination phase: Saturation
% 0.67/0.78  
% 0.67/0.78  % (16667)Memory used [KB]: 1928
% 0.67/0.78  % (16667)Time elapsed: 0.033 s
% 0.67/0.78  % (16667)Instructions burned: 83 (million)
% 0.67/0.78  % (16667)------------------------------
% 0.67/0.78  % (16667)------------------------------
% 0.67/0.78  % (16677)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.67/0.79  % (16673)First to succeed.
% 0.67/0.79  % (16673)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16660"
% 0.67/0.79  % (16673)Refutation found. Thanks to Tanya!
% 0.67/0.79  % SZS status Unsatisfiable for theBenchmark
% 0.67/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.79  % (16673)------------------------------
% 0.67/0.79  % (16673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.79  % (16673)Termination reason: Refutation
% 0.67/0.79  
% 0.67/0.79  % (16673)Memory used [KB]: 1528
% 0.67/0.79  % (16673)Time elapsed: 0.028 s
% 0.67/0.79  % (16673)Instructions burned: 50 (million)
% 0.67/0.79  % (16660)Success in time 0.481 s
% 0.67/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------