TSTP Solution File: SYN036-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed May  1 04:32:56 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  139 (   1 unt;   0 def)
%            Number of atoms       :  549 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  646 ( 236   ~; 384   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   29 (  28 usr;  27 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-1 aty)
%            Number of variables   :  134 ( 134   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f451,plain,
    $false,
    inference(avatar_sat_refutation,[],[f161,f170,f176,f205,f221,f241,f265,f275,f294,f311,f313,f318,f338,f357,f359,f361,f363,f364,f365,f367,f372,f374,f376,f386,f389,f391,f393,f407,f410,f412,f415,f418,f422,f424,f431,f437,f440,f442,f445,f447,f450]) ).

fof(f450,plain,
    ( ~ spl0_5
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f449]) ).

fof(f449,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f448,f143]) ).

fof(f143,plain,
    ( ! [X4] : ~ big_p(X4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_5
  <=> ! [X4] : ~ big_p(X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f448,plain,
    ( ! [X0] : big_p(X0)
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(resolution,[],[f329,f143]) ).

fof(f329,plain,
    ( ! [X21] :
        ( big_p(f3(X21))
        | big_p(X21) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl0_29
  <=> ! [X21] :
        ( big_p(f3(X21))
        | big_p(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f447,plain,
    ( ~ spl0_2
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f446]) ).

fof(f446,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_30 ),
    inference(resolution,[],[f134,f333]) ).

fof(f333,plain,
    ( big_q(c14)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl0_30
  <=> big_q(c14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f134,plain,
    ( ! [X1] : ~ big_q(X1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl0_2
  <=> ! [X1] : ~ big_q(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f445,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f444,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f443,f143]) ).

fof(f443,plain,
    ( ! [X0] : big_p(X0)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f131,f143]) ).

fof(f131,plain,
    ( ! [X0] :
        ( big_p(f1(X0))
        | big_p(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl0_1
  <=> ! [X0] :
        ( big_p(f1(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f442,plain,
    ( ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(resolution,[],[f169,f143]) ).

fof(f169,plain,
    ( big_p(c9)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f167,plain,
    ( spl0_11
  <=> big_p(c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f440,plain,
    ( ~ spl0_3
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f438,f137]) ).

fof(f137,plain,
    ( ! [X2] : big_p(X2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl0_3
  <=> ! [X2] : big_p(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f438,plain,
    ( ! [X21] : ~ big_p(X21)
    | ~ spl0_3
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f356,f137]) ).

fof(f356,plain,
    ( ! [X21] :
        ( ~ big_p(f3(X21))
        | ~ big_p(X21) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl0_32
  <=> ! [X21] :
        ( ~ big_p(f3(X21))
        | ~ big_p(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f437,plain,
    ( ~ spl0_3
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f436]) ).

fof(f436,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f435,f137]) ).

fof(f435,plain,
    ( ! [X0] : ~ big_p(X0)
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f196,f137]) ).

fof(f196,plain,
    ( ! [X0] :
        ( ~ big_p(f1(X0))
        | ~ big_p(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f195,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ big_p(f1(X0))
        | ~ big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f431,plain,
    ( ~ spl0_2
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f430,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(resolution,[],[f134,f181]) ).

fof(f181,plain,
    ( big_q(c1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl0_13
  <=> big_q(c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f424,plain,
    ( ~ spl0_2
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f423]) ).

fof(f423,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f220,f134]) ).

fof(f220,plain,
    ( big_q(c4)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_17
  <=> big_q(c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f422,plain,
    ( ~ spl0_5
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f283,f143]) ).

fof(f283,plain,
    ( big_p(c19)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl0_24
  <=> big_p(c19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f418,plain,
    ( ~ spl0_2
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f417]) ).

fof(f417,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f416,f134]) ).

fof(f416,plain,
    ( ! [X18] : big_q(f4(X18))
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f279,f134]) ).

fof(f279,plain,
    ( ! [X18] :
        ( big_q(X18)
        | big_q(f4(X18)) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_23
  <=> ! [X18] :
        ( big_q(X18)
        | big_q(f4(X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f415,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f414]) ).

fof(f414,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f413,f134]) ).

fof(f413,plain,
    ( ! [X3] : big_q(f2(X3))
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f140,f134]) ).

fof(f140,plain,
    ( ! [X3] :
        ( big_q(X3)
        | big_q(f2(X3)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl0_4
  <=> ! [X3] :
        ( big_q(X3)
        | big_q(f2(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f412,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

fof(f411,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f134,f146]) ).

fof(f146,plain,
    ( ! [X5] : big_q(X5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl0_6
  <=> ! [X5] : big_q(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f410,plain,
    ( ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f409]) ).

fof(f409,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f408,f146]) ).

fof(f408,plain,
    ( ! [X3] : ~ big_q(f2(X3))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f159,f146]) ).

fof(f159,plain,
    ( ! [X3] :
        ( ~ big_q(X3)
        | ~ big_q(f2(X3)) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl0_9
  <=> ! [X3] :
        ( ~ big_q(X3)
        | ~ big_q(f2(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f407,plain,
    ( ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f396]) ).

fof(f396,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(resolution,[],[f143,f151]) ).

fof(f151,plain,
    ( big_p(c6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl0_7
  <=> big_p(c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f393,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f392]) ).

fof(f392,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f143,f137]) ).

fof(f391,plain,
    ( ~ spl0_3
    | spl0_31 ),
    inference(avatar_contradiction_clause,[],[f390]) ).

fof(f390,plain,
    ( $false
    | ~ spl0_3
    | spl0_31 ),
    inference(resolution,[],[f345,f137]) ).

fof(f345,plain,
    ( ~ big_p(c15)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl0_31
  <=> big_p(c15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f389,plain,
    ( ~ spl0_6
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f388]) ).

fof(f388,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f387,f146]) ).

fof(f387,plain,
    ( ! [X18] : ~ big_q(f4(X18))
    | ~ spl0_6
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f292,f146]) ).

fof(f292,plain,
    ( ! [X18] :
        ( ~ big_q(X18)
        | ~ big_q(f4(X18)) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl0_26
  <=> ! [X18] :
        ( ~ big_q(X18)
        | ~ big_q(f4(X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f386,plain,
    ( ~ spl0_6
    | spl0_25 ),
    inference(avatar_contradiction_clause,[],[f385]) ).

fof(f385,plain,
    ( $false
    | ~ spl0_6
    | spl0_25 ),
    inference(resolution,[],[f146,f288]) ).

fof(f288,plain,
    ( ~ big_q(c20)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl0_25
  <=> big_q(c20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f376,plain,
    ( ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f375]) ).

fof(f375,plain,
    ( $false
    | ~ spl0_6
    | spl0_8 ),
    inference(resolution,[],[f155,f146]) ).

fof(f155,plain,
    ( ~ big_q(c7)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl0_8
  <=> big_q(c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f374,plain,
    ( ~ spl0_3
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f373,plain,
    ( $false
    | ~ spl0_3
    | spl0_14 ),
    inference(resolution,[],[f185,f137]) ).

fof(f185,plain,
    ( ~ big_p(c2)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_14
  <=> big_p(c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f372,plain,
    ( spl0_32
    | spl0_2
    | ~ spl0_31
    | spl0_26
    | spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f128,f286,f142,f291,f343,f133,f355]) ).

fof(f128,axiom,
    ! [X21,X18,X23,X20] :
      ( ~ big_q(c20)
      | ~ big_p(X20)
      | ~ big_q(X18)
      | ~ big_q(f4(X18))
      | ~ big_p(c15)
      | ~ big_q(X23)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_128) ).

fof(f367,plain,
    ( spl0_32
    | spl0_2
    | ~ spl0_31
    | spl0_6
    | ~ spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f123,f145,f142,f262,f145,f343,f133,f355]) ).

fof(f262,plain,
    ( spl0_20
  <=> big_q(c16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f123,axiom,
    ! [X21,X16,X17,X15,X23] :
      ( big_q(X17)
      | ~ big_p(X16)
      | ~ big_q(c16)
      | big_q(X15)
      | ~ big_p(c15)
      | ~ big_q(X23)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_123) ).

fof(f365,plain,
    ( spl0_32
    | spl0_2
    | ~ spl0_31
    | spl0_2
    | spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f121,f145,f142,f262,f133,f343,f133,f355]) ).

fof(f121,axiom,
    ! [X21,X16,X17,X15,X23] :
      ( big_q(X17)
      | ~ big_p(X16)
      | big_q(c16)
      | ~ big_q(X15)
      | ~ big_p(c15)
      | ~ big_q(X23)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_121) ).

fof(f364,plain,
    ( spl0_32
    | spl0_30
    | spl0_3
    | spl0_26
    | spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f120,f286,f142,f291,f136,f331,f355]) ).

fof(f120,axiom,
    ! [X21,X18,X22,X20] :
      ( ~ big_q(c20)
      | ~ big_p(X20)
      | ~ big_q(X18)
      | ~ big_q(f4(X18))
      | big_p(X22)
      | big_q(c14)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_120) ).

fof(f363,plain,
    ( spl0_32
    | spl0_30
    | spl0_3
    | spl0_26
    | spl0_24
    | spl0_6 ),
    inference(avatar_split_clause,[],[f119,f145,f281,f291,f136,f331,f355]) ).

fof(f119,axiom,
    ! [X21,X18,X19,X22] :
      ( big_q(X19)
      | big_p(c19)
      | ~ big_q(X18)
      | ~ big_q(f4(X18))
      | big_p(X22)
      | big_q(c14)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_119) ).

fof(f361,plain,
    ( spl0_32
    | spl0_30
    | spl0_3
    | spl0_23
    | spl0_24
    | spl0_6 ),
    inference(avatar_split_clause,[],[f117,f145,f281,f278,f136,f331,f355]) ).

fof(f117,axiom,
    ! [X21,X18,X19,X22] :
      ( big_q(X19)
      | big_p(c19)
      | big_q(X18)
      | big_q(f4(X18))
      | big_p(X22)
      | big_q(c14)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_117) ).

fof(f359,plain,
    ( spl0_32
    | spl0_30
    | spl0_3
    | spl0_6
    | ~ spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f115,f145,f142,f262,f145,f136,f331,f355]) ).

fof(f115,axiom,
    ! [X21,X16,X17,X15,X22] :
      ( big_q(X17)
      | ~ big_p(X16)
      | ~ big_q(c16)
      | big_q(X15)
      | big_p(X22)
      | big_q(c14)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_115) ).

fof(f357,plain,
    ( spl0_32
    | spl0_30
    | spl0_3
    | spl0_2
    | spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f113,f145,f142,f262,f133,f136,f331,f355]) ).

fof(f113,axiom,
    ! [X21,X16,X17,X15,X22] :
      ( big_q(X17)
      | ~ big_p(X16)
      | big_q(c16)
      | ~ big_q(X15)
      | big_p(X22)
      | big_q(c14)
      | ~ big_p(f3(X21))
      | ~ big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_113) ).

fof(f338,plain,
    ( spl0_29
    | spl0_30
    | spl0_3
    | spl0_23
    | spl0_24
    | spl0_6 ),
    inference(avatar_split_clause,[],[f101,f145,f281,f278,f136,f331,f328]) ).

fof(f101,axiom,
    ! [X21,X18,X19,X22] :
      ( big_q(X19)
      | big_p(c19)
      | big_q(X18)
      | big_q(f4(X18))
      | big_p(X22)
      | big_q(c14)
      | big_p(f3(X21))
      | big_p(X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_101) ).

fof(f318,plain,
    ( spl0_19
    | spl0_5
    | spl0_2
    | spl0_3
    | spl0_26
    | spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f88,f286,f142,f291,f136,f133,f142,f258]) ).

fof(f258,plain,
    ( spl0_19
  <=> big_p(c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f88,axiom,
    ! [X18,X14,X12,X13,X20] :
      ( ~ big_q(c20)
      | ~ big_p(X20)
      | ~ big_q(X18)
      | ~ big_q(f4(X18))
      | big_p(X14)
      | ~ big_q(X13)
      | ~ big_p(X12)
      | big_p(c11) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_88) ).

fof(f313,plain,
    ( spl0_19
    | spl0_5
    | spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f83,f145,f142,f262,f145,f136,f133,f142,f258]) ).

fof(f83,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( big_q(X17)
      | ~ big_p(X16)
      | ~ big_q(c16)
      | big_q(X15)
      | big_p(X14)
      | ~ big_q(X13)
      | ~ big_p(X12)
      | big_p(c11) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_83) ).

fof(f311,plain,
    ( spl0_19
    | spl0_5
    | spl0_2
    | spl0_3
    | spl0_2
    | spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f81,f145,f142,f262,f133,f136,f133,f142,f258]) ).

fof(f81,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( big_q(X17)
      | ~ big_p(X16)
      | big_q(c16)
      | ~ big_q(X15)
      | big_p(X14)
      | ~ big_q(X13)
      | ~ big_p(X12)
      | big_p(c11) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_81) ).

fof(f294,plain,
    ( ~ spl0_19
    | spl0_3
    | spl0_2
    | spl0_3
    | spl0_26
    | spl0_5
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f72,f286,f142,f291,f136,f133,f136,f258]) ).

fof(f72,axiom,
    ! [X18,X14,X12,X13,X20] :
      ( ~ big_q(c20)
      | ~ big_p(X20)
      | ~ big_q(X18)
      | ~ big_q(f4(X18))
      | big_p(X14)
      | ~ big_q(X13)
      | big_p(X12)
      | ~ big_p(c11) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_72) ).

fof(f275,plain,
    ( ~ spl0_19
    | spl0_3
    | spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f67,f145,f142,f262,f145,f136,f133,f136,f258]) ).

fof(f67,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( big_q(X17)
      | ~ big_p(X16)
      | ~ big_q(c16)
      | big_q(X15)
      | big_p(X14)
      | ~ big_q(X13)
      | big_p(X12)
      | ~ big_p(c11) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_67) ).

fof(f265,plain,
    ( ~ spl0_19
    | spl0_3
    | spl0_2
    | spl0_3
    | spl0_2
    | spl0_20
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f65,f145,f142,f262,f133,f136,f133,f136,f258]) ).

fof(f65,axiom,
    ! [X16,X14,X17,X15,X12,X13] :
      ( big_q(X17)
      | ~ big_p(X16)
      | big_q(c16)
      | ~ big_q(X15)
      | big_p(X14)
      | ~ big_q(X13)
      | big_p(X12)
      | ~ big_p(c11) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_65) ).

fof(f241,plain,
    ( spl0_16
    | spl0_5
    | spl0_17
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f49,f145,f142,f139,f136,f218,f142,f214]) ).

fof(f214,plain,
    ( spl0_16
  <=> big_p(c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f49,axiom,
    ! [X3,X10,X9,X4,X5] :
      ( big_q(X5)
      | ~ big_p(X4)
      | big_q(X3)
      | big_q(f2(X3))
      | big_p(X10)
      | big_q(c4)
      | ~ big_p(X9)
      | big_p(c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_49) ).

fof(f221,plain,
    ( ~ spl0_16
    | spl0_3
    | spl0_17
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f145,f142,f139,f136,f218,f136,f214]) ).

fof(f33,axiom,
    ! [X3,X10,X9,X4,X5] :
      ( big_q(X5)
      | ~ big_p(X4)
      | big_q(X3)
      | big_q(f2(X3))
      | big_p(X10)
      | big_q(c4)
      | big_p(X9)
      | ~ big_p(c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_33) ).

fof(f205,plain,
    ( spl0_15
    | spl0_13
    | ~ spl0_14
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f25,f145,f142,f139,f183,f179,f195]) ).

fof(f25,axiom,
    ! [X3,X0,X4,X5] :
      ( big_q(X5)
      | ~ big_p(X4)
      | big_q(X3)
      | big_q(f2(X3))
      | ~ big_p(c2)
      | big_q(c1)
      | ~ big_p(f1(X0))
      | ~ big_p(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_25) ).

fof(f176,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_6
    | ~ spl0_10
    | spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f145,f167,f163,f145,f136,f133,f130]) ).

fof(f163,plain,
    ( spl0_10
  <=> big_q(c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f7,axiom,
    ! [X2,X0,X1,X6,X7] :
      ( big_q(X7)
      | big_p(c9)
      | ~ big_q(c8)
      | big_q(X6)
      | big_p(X2)
      | ~ big_q(X1)
      | big_p(f1(X0))
      | big_p(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_7) ).

fof(f170,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_2
    | spl0_10
    | spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f5,f145,f167,f163,f133,f136,f133,f130]) ).

fof(f5,axiom,
    ! [X2,X0,X1,X6,X7] :
      ( big_q(X7)
      | big_p(c9)
      | big_q(c8)
      | ~ big_q(X6)
      | big_p(X2)
      | ~ big_q(X1)
      | big_p(f1(X0))
      | big_p(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_5) ).

fof(f161,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_9
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f4,f153,f149,f158,f136,f133,f130]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ big_q(c7)
      | big_p(c6)
      | ~ big_q(X3)
      | ~ big_q(f2(X3))
      | big_p(X2)
      | ~ big_q(X1)
      | big_p(f1(X0))
      | big_p(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0TP3piw32k/Vampire---4.8_3843',clause_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % 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
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 17:26:26 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.37  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/tmp/tmp.0TP3piw32k/Vampire---4.8_3843
% 0.55/0.76  % (4024)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.76  % (4027)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.76  % (4020)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.76  % (4022)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (4021)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 Vampire---4 for (2996ds/51Mi)
% 0.55/0.76  % (4023)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.76  % (4025)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.76  % (4026)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 Vampire---4 for (2996ds/83Mi)
% 0.61/0.76  % (4027)First to succeed.
% 0.61/0.77  % (4024)Also succeeded, but the first one will report.
% 0.61/0.77  % (4027)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (4027)------------------------------
% 0.61/0.77  % (4027)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (4027)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (4027)Memory used [KB]: 1293
% 0.61/0.77  % (4027)Time elapsed: 0.006 s
% 0.61/0.77  % (4027)Instructions burned: 16 (million)
% 0.61/0.77  % (4027)------------------------------
% 0.61/0.77  % (4027)------------------------------
% 0.61/0.77  % (4010)Success in time 0.387 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------