TSTP Solution File: SWC253-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC253-1 : 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 : n013.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 04:37:29 EDT 2024

% Result   : Unsatisfiable 0.88s 0.86s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  136 (  13 unt;   0 def)
%            Number of atoms       :  389 (  88 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  453 ( 200   ~; 239   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1012,plain,
    $false,
    inference(avatar_sat_refutation,[],[f235,f239,f254,f265,f301,f308,f382,f389,f616,f678,f820,f862,f877,f952,f1007]) ).

fof(f1007,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1006,plain,
    ( $false
    | ~ spl0_3
    | spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1005,f229]) ).

fof(f229,plain,
    ( ssList(tl(sk4))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_3
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1005,plain,
    ( ~ ssList(tl(sk4))
    | spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1004,f8]) ).

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

fof(f1004,plain,
    ( ~ ssList(nil)
    | ~ ssList(tl(sk4))
    | spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1003,f345]) ).

fof(f345,plain,
    ( nil != tl(sk3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl0_10
  <=> nil = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1003,plain,
    ( nil = tl(sk3)
    | ~ ssList(nil)
    | ~ ssList(tl(sk4))
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f999]) ).

fof(f999,plain,
    ( tl(sk4) != tl(sk4)
    | nil = tl(sk3)
    | ~ ssList(nil)
    | ~ ssList(tl(sk4))
    | ~ spl0_16 ),
    inference(superposition,[],[f379,f74]) ).

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

fof(f379,plain,
    ( ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | tl(sk3) = X0
        | ~ ssList(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl0_16
  <=> ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | tl(sk3) = X0
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f952,plain,
    ( spl0_5
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f951]) ).

fof(f951,plain,
    ( $false
    | spl0_5
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f950,f613]) ).

fof(f613,plain,
    ( ssItem(hd(sk3))
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl0_32
  <=> ssItem(hd(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f950,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f949,f198]) ).

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

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

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

fof(f949,plain,
    ( ~ ssList(sk3)
    | ~ ssItem(hd(sk3))
    | spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f936,f236]) ).

fof(f236,plain,
    ~ singletonP(sk3),
    inference(subsumption_resolution,[],[f204,f217]) ).

fof(f217,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/sandbox/benchmark/theBenchmark.p',co1_5) ).

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

fof(f204,plain,
    ( ~ neq(sk4,nil)
    | ~ singletonP(sk3) ),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f936,plain,
    ( singletonP(sk3)
    | ~ ssList(sk3)
    | ~ ssItem(hd(sk3))
    | spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f213,f906]) ).

fof(f906,plain,
    ( sk3 = cons(hd(sk3),nil)
    | spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f905,f198]) ).

fof(f905,plain,
    ( sk3 = cons(hd(sk3),nil)
    | ~ ssList(sk3)
    | spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f904,f281]) ).

fof(f281,plain,
    ( nil != sk3
    | spl0_5 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_5
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f904,plain,
    ( sk3 = cons(hd(sk3),nil)
    | nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_10 ),
    inference(superposition,[],[f104,f346]) ).

fof(f346,plain,
    ( nil = tl(sk3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f344]) ).

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

fof(f213,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( singletonP(X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f877,plain,
    ( spl0_26
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f876,f280,f228,f224,f573]) ).

fof(f573,plain,
    ( spl0_26
  <=> sk4 = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f224,plain,
    ( spl0_2
  <=> sk4 = app(sk3,tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f876,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f739,f229]) ).

fof(f739,plain,
    ( sk4 = tl(sk4)
    | ~ ssList(tl(sk4))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f619,f74]) ).

fof(f619,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f226,f282]) ).

fof(f282,plain,
    ( nil = sk3
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f226,plain,
    ( sk4 = app(sk3,tl(sk4))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f862,plain,
    ( spl0_6
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f861]) ).

fof(f861,plain,
    ( $false
    | spl0_6
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f860,f199]) ).

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

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

fof(f860,plain,
    ( ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f858,f776]) ).

fof(f776,plain,
    ( ssItem(hd(sk4))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl0_34
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f858,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f850]) ).

fof(f850,plain,
    ( sk4 != sk4
    | ~ ssItem(hd(sk4))
    | ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(superposition,[],[f99,f737]) ).

fof(f737,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f736,f199]) ).

fof(f736,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ ssList(sk4)
    | spl0_6
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f731,f286]) ).

fof(f286,plain,
    ( nil != sk4
    | spl0_6 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl0_6
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f731,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_26 ),
    inference(superposition,[],[f104,f574]) ).

fof(f574,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f573]) ).

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

fof(f820,plain,
    ( spl0_6
    | spl0_34 ),
    inference(avatar_contradiction_clause,[],[f819]) ).

fof(f819,plain,
    ( $false
    | spl0_6
    | spl0_34 ),
    inference(subsumption_resolution,[],[f818,f199]) ).

fof(f818,plain,
    ( ~ ssList(sk4)
    | spl0_6
    | spl0_34 ),
    inference(subsumption_resolution,[],[f812,f286]) ).

fof(f812,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_34 ),
    inference(resolution,[],[f777,f78]) ).

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

fof(f777,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f678,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f677]) ).

fof(f677,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f674,f8]) ).

fof(f674,plain,
    ( ~ ssList(nil)
    | ~ spl0_6 ),
    inference(resolution,[],[f633,f215]) ).

fof(f215,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/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f633,plain,
    ( neq(nil,nil)
    | ~ spl0_6 ),
    inference(superposition,[],[f217,f285]) ).

fof(f285,plain,
    ( nil = sk4
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f616,plain,
    ( spl0_6
    | spl0_32
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f615,f298,f611,f284]) ).

fof(f298,plain,
    ( spl0_8
  <=> hd(sk3) = hd(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f615,plain,
    ( ssItem(hd(sk3))
    | nil = sk4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f315,f199]) ).

fof(f315,plain,
    ( ssItem(hd(sk3))
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_8 ),
    inference(superposition,[],[f76,f300]) ).

fof(f300,plain,
    ( hd(sk3) = hd(sk4)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f298]) ).

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

fof(f389,plain,
    ( spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f388,f348,f280]) ).

fof(f348,plain,
    ( spl0_11
  <=> ssList(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f388,plain,
    ( nil = sk3
    | spl0_11 ),
    inference(subsumption_resolution,[],[f385,f198]) ).

fof(f385,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | spl0_11 ),
    inference(resolution,[],[f350,f77]) ).

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

fof(f350,plain,
    ( ~ ssList(tl(sk3))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f382,plain,
    ( ~ spl0_11
    | spl0_16
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f381,f305,f228,f378,f348]) ).

fof(f305,plain,
    ( spl0_9
  <=> tl(sk4) = app(tl(sk3),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f381,plain,
    ( ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | ~ ssList(tl(sk3))
        | ~ ssList(X0)
        | tl(sk3) = X0 )
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f341,f229]) ).

fof(f341,plain,
    ( ! [X0] :
        ( tl(sk4) != app(X0,tl(sk4))
        | ~ ssList(tl(sk3))
        | ~ ssList(tl(sk4))
        | ~ ssList(X0)
        | tl(sk3) = X0 )
    | ~ spl0_9 ),
    inference(superposition,[],[f151,f307]) ).

fof(f307,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f305]) ).

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

fof(f308,plain,
    ( spl0_5
    | spl0_9
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f303,f228,f224,f305,f280]) ).

fof(f303,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | nil = sk3
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f302,f229]) ).

fof(f302,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | nil = sk3
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f271,f198]) ).

fof(f271,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(superposition,[],[f133,f226]) ).

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

fof(f301,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f296,f228,f224,f298,f280]) ).

fof(f296,plain,
    ( hd(sk3) = hd(sk4)
    | nil = sk3
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f295,f229]) ).

fof(f295,plain,
    ( hd(sk3) = hd(sk4)
    | nil = sk3
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f270,f198]) ).

fof(f270,plain,
    ( hd(sk3) = hd(sk4)
    | nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | ~ spl0_2 ),
    inference(superposition,[],[f123,f226]) ).

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(f265,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f262,f260]) ).

fof(f260,plain,
    ( ~ neq(nil,nil)
    | spl0_4 ),
    inference(superposition,[],[f234,f258]) ).

fof(f258,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f257,f199]) ).

fof(f257,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f255,f8]) ).

fof(f255,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(resolution,[],[f234,f100]) ).

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

fof(f234,plain,
    ( ~ neq(nil,sk4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_4
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f262,plain,
    ( neq(nil,nil)
    | spl0_4 ),
    inference(superposition,[],[f217,f258]) ).

fof(f254,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f253]) ).

fof(f253,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f250,f8]) ).

fof(f250,plain,
    ( ~ ssList(nil)
    | spl0_3 ),
    inference(resolution,[],[f245,f215]) ).

fof(f245,plain,
    ( neq(nil,nil)
    | spl0_3 ),
    inference(superposition,[],[f217,f242]) ).

fof(f242,plain,
    ( nil = sk4
    | spl0_3 ),
    inference(subsumption_resolution,[],[f240,f199]) ).

fof(f240,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_3 ),
    inference(resolution,[],[f230,f75]) ).

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

fof(f230,plain,
    ( ~ ssList(tl(sk4))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f239,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f238,f220,f228]) ).

fof(f220,plain,
    ( spl0_1
  <=> ssList(app(sk3,tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f238,plain,
    ( ~ ssList(tl(sk4))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f237,f198]) ).

fof(f237,plain,
    ( ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | spl0_1 ),
    inference(resolution,[],[f222,f85]) ).

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

fof(f222,plain,
    ( ~ ssList(app(sk3,tl(sk4)))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f235,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f218,f232,f228,f224,f220]) ).

fof(f218,plain,
    ( ~ neq(nil,sk4)
    | ~ ssList(tl(sk4))
    | sk4 = app(sk3,tl(sk4))
    | ~ ssList(app(sk3,tl(sk4))) ),
    inference(subsumption_resolution,[],[f208,f217]) ).

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/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC253-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.12  % 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
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 03:31:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.33  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
% 0.59/0.81  % (11261)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)
% 0.59/0.81  % (11262)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)
% 0.59/0.81  % (11260)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.59/0.81  % (11258)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)
% 0.59/0.81  % (11263)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)
% 0.59/0.81  % (11259)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)
% 0.59/0.81  % (11264)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)
% 0.59/0.81  % (11265)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)
% 0.59/0.81  % (11265)Refutation not found, incomplete strategy% (11265)------------------------------
% 0.59/0.81  % (11265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (11265)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81  
% 0.59/0.81  % (11265)Memory used [KB]: 1185
% 0.59/0.81  % (11265)Time elapsed: 0.003 s
% 0.59/0.81  % (11265)Instructions burned: 4 (million)
% 0.59/0.81  % (11265)------------------------------
% 0.59/0.81  % (11265)------------------------------
% 0.59/0.81  % (11262)Refutation not found, incomplete strategy% (11262)------------------------------
% 0.59/0.81  % (11262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (11262)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81  
% 0.59/0.81  % (11262)Memory used [KB]: 1263
% 0.59/0.81  % (11262)Time elapsed: 0.007 s
% 0.59/0.81  % (11262)Instructions burned: 12 (million)
% 0.59/0.81  % (11262)------------------------------
% 0.59/0.81  % (11262)------------------------------
% 0.59/0.81  % (11266)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.59/0.82  % (11267)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.59/0.82  % (11258)Instruction limit reached!
% 0.59/0.82  % (11258)------------------------------
% 0.59/0.82  % (11258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (11258)Termination reason: Unknown
% 0.59/0.83  % (11258)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (11258)Memory used [KB]: 1333
% 0.59/0.83  % (11258)Time elapsed: 0.019 s
% 0.59/0.83  % (11258)Instructions burned: 36 (million)
% 0.59/0.83  % (11258)------------------------------
% 0.59/0.83  % (11258)------------------------------
% 0.59/0.83  % (11261)Instruction limit reached!
% 0.59/0.83  % (11261)------------------------------
% 0.59/0.83  % (11261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11261)Termination reason: Unknown
% 0.59/0.83  % (11261)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (11261)Memory used [KB]: 1700
% 0.59/0.83  % (11261)Time elapsed: 0.019 s
% 0.59/0.83  % (11261)Instructions burned: 35 (million)
% 0.59/0.83  % (11261)------------------------------
% 0.59/0.83  % (11261)------------------------------
% 0.59/0.83  % (11268)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)
% 0.59/0.83  % (11269)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.59/0.83  % (11263)Instruction limit reached!
% 0.59/0.83  % (11263)------------------------------
% 0.59/0.83  % (11263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11263)Termination reason: Unknown
% 0.59/0.83  % (11263)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (11263)Memory used [KB]: 1705
% 0.59/0.83  % (11263)Time elapsed: 0.025 s
% 0.59/0.83  % (11263)Instructions burned: 45 (million)
% 0.59/0.83  % (11263)------------------------------
% 0.59/0.83  % (11263)------------------------------
% 0.59/0.84  % (11270)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)
% 0.59/0.84  % (11259)Instruction limit reached!
% 0.59/0.84  % (11259)------------------------------
% 0.59/0.84  % (11259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (11259)Termination reason: Unknown
% 0.59/0.84  % (11259)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (11259)Memory used [KB]: 1920
% 0.59/0.84  % (11259)Time elapsed: 0.031 s
% 0.59/0.84  % (11259)Instructions burned: 52 (million)
% 0.59/0.84  % (11259)------------------------------
% 0.59/0.84  % (11259)------------------------------
% 0.59/0.84  % (11267)Instruction limit reached!
% 0.59/0.84  % (11267)------------------------------
% 0.59/0.84  % (11267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (11267)Termination reason: Unknown
% 0.59/0.84  % (11267)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (11267)Memory used [KB]: 1705
% 0.59/0.84  % (11267)Time elapsed: 0.024 s
% 0.59/0.84  % (11267)Instructions burned: 50 (million)
% 0.59/0.84  % (11267)------------------------------
% 0.59/0.84  % (11267)------------------------------
% 0.59/0.84  % (11271)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)
% 0.59/0.84  % (11266)Instruction limit reached!
% 0.59/0.84  % (11266)------------------------------
% 0.59/0.84  % (11266)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (11266)Termination reason: Unknown
% 0.59/0.84  % (11266)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (11266)Memory used [KB]: 1774
% 0.59/0.84  % (11266)Time elapsed: 0.029 s
% 0.59/0.84  % (11266)Instructions burned: 55 (million)
% 0.59/0.84  % (11266)------------------------------
% 0.59/0.84  % (11266)------------------------------
% 0.59/0.84  % (11272)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)
% 0.59/0.84  % (11264)Instruction limit reached!
% 0.59/0.84  % (11264)------------------------------
% 0.59/0.84  % (11264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (11264)Termination reason: Unknown
% 0.59/0.84  % (11264)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (11264)Memory used [KB]: 2032
% 0.59/0.84  % (11264)Time elapsed: 0.038 s
% 0.59/0.84  % (11264)Instructions burned: 85 (million)
% 0.59/0.84  % (11264)------------------------------
% 0.59/0.84  % (11264)------------------------------
% 0.59/0.84  % (11271)Refutation not found, incomplete strategy% (11271)------------------------------
% 0.59/0.84  % (11271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (11271)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.84  
% 0.59/0.84  % (11271)Memory used [KB]: 1277
% 0.59/0.84  % (11271)Time elapsed: 0.006 s
% 0.59/0.84  % (11271)Instructions burned: 8 (million)
% 0.59/0.85  % (11273)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)
% 0.59/0.85  % (11271)------------------------------
% 0.59/0.85  % (11271)------------------------------
% 0.59/0.85  % (11274)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 (2994ds/143Mi)
% 0.59/0.85  % (11275)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.59/0.85  % (11260)Instruction limit reached!
% 0.59/0.85  % (11260)------------------------------
% 0.59/0.85  % (11260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.85  % (11260)Termination reason: Unknown
% 0.59/0.85  % (11260)Termination phase: Saturation
% 0.59/0.85  
% 0.59/0.85  % (11260)Memory used [KB]: 1841
% 0.59/0.85  % (11260)Time elapsed: 0.045 s
% 0.59/0.85  % (11260)Instructions burned: 79 (million)
% 0.59/0.85  % (11260)------------------------------
% 0.59/0.85  % (11260)------------------------------
% 0.88/0.86  % (11276)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.88/0.86  % (11270)First to succeed.
% 0.88/0.86  % (11269)Instruction limit reached!
% 0.88/0.86  % (11269)------------------------------
% 0.88/0.86  % (11269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.86  % (11269)Termination reason: Unknown
% 0.88/0.86  % (11269)Termination phase: Saturation
% 0.88/0.86  
% 0.88/0.86  % (11269)Memory used [KB]: 1760
% 0.88/0.86  % (11269)Time elapsed: 0.031 s
% 0.88/0.86  % (11269)Instructions burned: 52 (million)
% 0.88/0.86  % (11269)------------------------------
% 0.88/0.86  % (11269)------------------------------
% 0.88/0.86  % (11270)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11255"
% 0.88/0.86  % (11270)Refutation found. Thanks to Tanya!
% 0.88/0.86  % SZS status Unsatisfiable for theBenchmark
% 0.88/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.86  % (11270)------------------------------
% 0.88/0.86  % (11270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.86  % (11270)Termination reason: Refutation
% 0.88/0.86  
% 0.88/0.86  % (11270)Memory used [KB]: 1519
% 0.88/0.86  % (11270)Time elapsed: 0.026 s
% 0.88/0.86  % (11270)Instructions burned: 46 (million)
% 0.88/0.86  % (11255)Success in time 0.514 s
% 0.88/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------