TSTP Solution File: SYN036-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN036-4 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Sun May  5 11:55:38 EDT 2024

% Result   : Unsatisfiable 0.58s 0.73s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  169 (   1 unt;   0 def)
%            Number of atoms       :  507 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  583 ( 245   ~; 292   |;   0   &)
%                                         (  46 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   49 (  48 usr;  47 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :  112 ( 112   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f537,plain,
    $false,
    inference(avatar_sat_refutation,[],[f146,f150,f167,f171,f273,f274,f279,f280,f291,f292,f297,f298,f325,f326,f331,f332,f389,f390,f417,f418,f423,f424,f429,f430,f435,f436,f441,f442,f447,f448,f453,f454,f457,f460,f467,f469,f483,f486,f488,f504,f534,f536]) ).

fof(f536,plain,
    ( ~ spl49_9
    | ~ spl49_17 ),
    inference(avatar_contradiction_clause,[],[f535]) ).

fof(f535,plain,
    ( $false
    | ~ spl49_9
    | ~ spl49_17 ),
    inference(subsumption_resolution,[],[f516,f200]) ).

fof(f200,plain,
    ( ! [X8] : q(X8)
    | ~ spl49_17 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl49_17
  <=> ! [X8] : q(X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_17])]) ).

fof(f516,plain,
    ( ! [X0] : ~ q(X0)
    | ~ spl49_9
    | ~ spl49_17 ),
    inference(resolution,[],[f200,f166]) ).

fof(f166,plain,
    ( ! [X9] :
        ( ~ q(fz(X9))
        | ~ q(X9) )
    | ~ spl49_9 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f165,plain,
    ( spl49_9
  <=> ! [X9] :
        ( ~ q(fz(X9))
        | ~ q(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_9])]) ).

fof(f534,plain,
    ( ~ spl49_7
    | ~ spl49_17 ),
    inference(avatar_contradiction_clause,[],[f533]) ).

fof(f533,plain,
    ( $false
    | ~ spl49_7
    | ~ spl49_17 ),
    inference(subsumption_resolution,[],[f514,f200]) ).

fof(f514,plain,
    ( ! [X0] : ~ q(X0)
    | ~ spl49_7
    | ~ spl49_17 ),
    inference(resolution,[],[f200,f157]) ).

fof(f157,plain,
    ( ! [X5] :
        ( ~ q(fz5(X5))
        | ~ q(X5) )
    | ~ spl49_7 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl49_7
  <=> ! [X5] :
        ( ~ q(fz5(X5))
        | ~ q(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_7])]) ).

fof(f504,plain,
    ( ~ spl49_10
    | ~ spl49_16 ),
    inference(avatar_contradiction_clause,[],[f503]) ).

fof(f503,plain,
    ( $false
    | ~ spl49_10
    | ~ spl49_16 ),
    inference(subsumption_resolution,[],[f495,f195]) ).

fof(f195,plain,
    ( ! [X20] : ~ p(X20)
    | ~ spl49_16 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl49_16
  <=> ! [X20] : ~ p(X20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_16])]) ).

fof(f495,plain,
    ( ! [X0] : p(X0)
    | ~ spl49_10
    | ~ spl49_16 ),
    inference(resolution,[],[f170,f195]) ).

fof(f170,plain,
    ( ! [X18] :
        ( p(fy(X18))
        | p(X18) )
    | ~ spl49_10 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl49_10
  <=> ! [X18] :
        ( p(fy(X18))
        | p(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).

fof(f488,plain,
    ( ~ spl49_3
    | ~ spl49_22 ),
    inference(avatar_contradiction_clause,[],[f487]) ).

fof(f487,plain,
    ( $false
    | ~ spl49_3
    | ~ spl49_22 ),
    inference(subsumption_resolution,[],[f142,f223]) ).

fof(f223,plain,
    ( ! [X21] : ~ q(X21)
    | ~ spl49_22 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl49_22
  <=> ! [X21] : ~ q(X21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_22])]) ).

fof(f142,plain,
    ( q(cw)
    | ~ spl49_3 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl49_3
  <=> q(cw) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).

fof(f486,plain,
    ( ~ spl49_4
    | ~ spl49_22 ),
    inference(avatar_contradiction_clause,[],[f485]) ).

fof(f485,plain,
    ( $false
    | ~ spl49_4
    | ~ spl49_22 ),
    inference(subsumption_resolution,[],[f484,f223]) ).

fof(f484,plain,
    ( ! [X5] : q(X5)
    | ~ spl49_4
    | ~ spl49_22 ),
    inference(subsumption_resolution,[],[f145,f223]) ).

fof(f145,plain,
    ( ! [X5] :
        ( q(fz5(X5))
        | q(X5) )
    | ~ spl49_4 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl49_4
  <=> ! [X5] :
        ( q(fz5(X5))
        | q(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).

fof(f483,plain,
    ( ~ spl49_5
    | ~ spl49_16 ),
    inference(avatar_contradiction_clause,[],[f482]) ).

fof(f482,plain,
    ( $false
    | ~ spl49_5
    | ~ spl49_16 ),
    inference(subsumption_resolution,[],[f474,f195]) ).

fof(f474,plain,
    ( ! [X0] : p(X0)
    | ~ spl49_5
    | ~ spl49_16 ),
    inference(resolution,[],[f149,f195]) ).

fof(f149,plain,
    ( ! [X4] :
        ( p(fy5(X4))
        | p(X4) )
    | ~ spl49_5 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl49_5
  <=> ! [X4] :
        ( p(fy5(X4))
        | p(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).

fof(f469,plain,
    ( spl49_2
    | ~ spl49_27 ),
    inference(avatar_contradiction_clause,[],[f468]) ).

fof(f468,plain,
    ( $false
    | spl49_2
    | ~ spl49_27 ),
    inference(subsumption_resolution,[],[f137,f245]) ).

fof(f245,plain,
    ( ! [X11] : p(X11)
    | ~ spl49_27 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl49_27
  <=> ! [X11] : p(X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_27])]) ).

fof(f137,plain,
    ( ~ p(cx)
    | spl49_2 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl49_2
  <=> p(cx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).

fof(f467,plain,
    ( ~ spl49_12
    | ~ spl49_27 ),
    inference(avatar_contradiction_clause,[],[f466]) ).

fof(f466,plain,
    ( $false
    | ~ spl49_12
    | ~ spl49_27 ),
    inference(subsumption_resolution,[],[f465,f245]) ).

fof(f465,plain,
    ( ! [X4] : ~ p(X4)
    | ~ spl49_12
    | ~ spl49_27 ),
    inference(subsumption_resolution,[],[f179,f245]) ).

fof(f179,plain,
    ( ! [X4] :
        ( ~ p(fy5(X4))
        | ~ p(X4) )
    | ~ spl49_12 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl49_12
  <=> ! [X4] :
        ( ~ p(fy5(X4))
        | ~ p(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_12])]) ).

fof(f460,plain,
    ( ~ spl49_21
    | ~ spl49_22 ),
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | ~ spl49_21
    | ~ spl49_22 ),
    inference(subsumption_resolution,[],[f458,f223]) ).

fof(f458,plain,
    ( ! [X8] : q(X8)
    | ~ spl49_21
    | ~ spl49_22 ),
    inference(subsumption_resolution,[],[f218,f223]) ).

fof(f218,plain,
    ( ! [X8] :
        ( q(fz(X8))
        | q(X8) )
    | ~ spl49_21 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl49_21
  <=> ! [X8] :
        ( q(fz(X8))
        | q(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_21])]) ).

fof(f457,plain,
    ( ~ spl49_26
    | ~ spl49_27 ),
    inference(avatar_contradiction_clause,[],[f456]) ).

fof(f456,plain,
    ( $false
    | ~ spl49_26
    | ~ spl49_27 ),
    inference(subsumption_resolution,[],[f455,f245]) ).

fof(f455,plain,
    ( ! [X20] : ~ p(X20)
    | ~ spl49_26
    | ~ spl49_27 ),
    inference(subsumption_resolution,[],[f239,f245]) ).

fof(f239,plain,
    ( ! [X20] :
        ( ~ p(fy(X20))
        | ~ p(X20) )
    | ~ spl49_26 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl49_26
  <=> ! [X20] :
        ( ~ p(fy(X20))
        | ~ p(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_26])]) ).

fof(f454,plain,
    ( spl49_64
    | spl49_27 ),
    inference(avatar_split_clause,[],[f33,f244,f450]) ).

fof(f450,plain,
    ( spl49_64
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_64])]) ).

fof(f33,plain,
    ! [X0] :
      ( p(X0)
      | sP0 ),
    inference(cnf_transformation,[],[f33_D]) ).

fof(f33_D,plain,
    ( ! [X0] : p(X0)
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f453,plain,
    ( ~ spl49_64
    | ~ spl49_2
    | ~ spl49_3
    | spl49_17 ),
    inference(avatar_split_clause,[],[f34,f199,f140,f136,f450]) ).

fof(f34,plain,
    ! [X1] :
      ( q(X1)
      | ~ q(cw)
      | ~ p(cx)
      | ~ sP0 ),
    inference(general_splitting,[],[f1,f33_D]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( q(X1)
      | p(X0)
      | ~ q(cw)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_1) ).

fof(f448,plain,
    ( spl49_63
    | spl49_22 ),
    inference(avatar_split_clause,[],[f35,f222,f444]) ).

fof(f444,plain,
    ( spl49_63
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_63])]) ).

fof(f35,plain,
    ! [X2] :
      ( ~ q(X2)
      | sP1 ),
    inference(cnf_transformation,[],[f35_D]) ).

fof(f35_D,plain,
    ( ! [X2] : ~ q(X2)
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f447,plain,
    ( ~ spl49_63
    | ~ spl49_2
    | spl49_27
    | spl49_3 ),
    inference(avatar_split_clause,[],[f36,f140,f244,f136,f444]) ).

fof(f36,plain,
    ! [X0] :
      ( q(cw)
      | p(X0)
      | ~ p(cx)
      | ~ sP1 ),
    inference(general_splitting,[],[f2,f35_D]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( q(cw)
      | p(X0)
      | ~ q(X2)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_2) ).

fof(f442,plain,
    ( spl49_62
    | spl49_16 ),
    inference(avatar_split_clause,[],[f37,f194,f438]) ).

fof(f438,plain,
    ( spl49_62
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_62])]) ).

fof(f37,plain,
    ! [X3] :
      ( ~ p(X3)
      | sP2 ),
    inference(cnf_transformation,[],[f37_D]) ).

fof(f37_D,plain,
    ( ! [X3] : ~ p(X3)
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f441,plain,
    ( ~ spl49_62
    | ~ spl49_3
    | spl49_2
    | spl49_17 ),
    inference(avatar_split_clause,[],[f38,f199,f136,f140,f438]) ).

fof(f38,plain,
    ! [X1] :
      ( q(X1)
      | p(cx)
      | ~ q(cw)
      | ~ sP2 ),
    inference(general_splitting,[],[f3,f37_D]) ).

fof(f3,axiom,
    ! [X3,X1] :
      ( q(X1)
      | p(cx)
      | ~ q(cw)
      | ~ p(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_3) ).

fof(f436,plain,
    ( spl49_61
    | spl49_22 ),
    inference(avatar_split_clause,[],[f39,f222,f432]) ).

fof(f432,plain,
    ( spl49_61
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_61])]) ).

fof(f39,plain,
    ! [X2] :
      ( ~ q(X2)
      | sP3 ),
    inference(cnf_transformation,[],[f39_D]) ).

fof(f39_D,plain,
    ( ! [X2] : ~ q(X2)
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f435,plain,
    ( ~ spl49_61
    | spl49_16
    | spl49_2
    | spl49_3 ),
    inference(avatar_split_clause,[],[f40,f140,f136,f194,f432]) ).

fof(f40,plain,
    ! [X3] :
      ( q(cw)
      | p(cx)
      | ~ p(X3)
      | ~ sP3 ),
    inference(general_splitting,[],[f4,f39_D]) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( q(cw)
      | p(cx)
      | ~ q(X2)
      | ~ p(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_4) ).

fof(f430,plain,
    ( spl49_60
    | spl49_17 ),
    inference(avatar_split_clause,[],[f41,f199,f426]) ).

fof(f426,plain,
    ( spl49_60
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_60])]) ).

fof(f41,plain,
    ! [X1] :
      ( q(X1)
      | sP4 ),
    inference(cnf_transformation,[],[f41_D]) ).

fof(f41_D,plain,
    ( ! [X1] : q(X1)
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f429,plain,
    ( ~ spl49_60
    | ~ spl49_2
    | spl49_12
    | ~ spl49_3 ),
    inference(avatar_split_clause,[],[f42,f140,f178,f136,f426]) ).

fof(f42,plain,
    ! [X4] :
      ( ~ q(cw)
      | ~ p(fy5(X4))
      | ~ p(X4)
      | ~ p(cx)
      | ~ sP4 ),
    inference(general_splitting,[],[f5,f41_D]) ).

fof(f5,axiom,
    ! [X1,X4] :
      ( q(X1)
      | ~ q(cw)
      | ~ p(fy5(X4))
      | ~ p(X4)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_5) ).

fof(f424,plain,
    ( spl49_59
    | spl49_22 ),
    inference(avatar_split_clause,[],[f43,f222,f420]) ).

fof(f420,plain,
    ( spl49_59
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_59])]) ).

fof(f43,plain,
    ! [X2] :
      ( ~ q(X2)
      | sP5 ),
    inference(cnf_transformation,[],[f43_D]) ).

fof(f43_D,plain,
    ( ! [X2] : ~ q(X2)
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f423,plain,
    ( ~ spl49_59
    | ~ spl49_2
    | spl49_12
    | spl49_3 ),
    inference(avatar_split_clause,[],[f44,f140,f178,f136,f420]) ).

fof(f44,plain,
    ! [X4] :
      ( q(cw)
      | ~ p(fy5(X4))
      | ~ p(X4)
      | ~ p(cx)
      | ~ sP5 ),
    inference(general_splitting,[],[f6,f43_D]) ).

fof(f6,axiom,
    ! [X2,X4] :
      ( q(cw)
      | ~ q(X2)
      | ~ p(fy5(X4))
      | ~ p(X4)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_6) ).

fof(f418,plain,
    ( spl49_58
    | spl49_27 ),
    inference(avatar_split_clause,[],[f45,f244,f414]) ).

fof(f414,plain,
    ( spl49_58
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_58])]) ).

fof(f45,plain,
    ! [X0] :
      ( p(X0)
      | sP6 ),
    inference(cnf_transformation,[],[f45_D]) ).

fof(f45_D,plain,
    ( ! [X0] : p(X0)
  <=> ~ sP6 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f417,plain,
    ( ~ spl49_58
    | ~ spl49_2
    | ~ spl49_3
    | spl49_7 ),
    inference(avatar_split_clause,[],[f46,f156,f140,f136,f414]) ).

fof(f46,plain,
    ! [X5] :
      ( ~ q(fz5(X5))
      | ~ q(X5)
      | ~ q(cw)
      | ~ p(cx)
      | ~ sP6 ),
    inference(general_splitting,[],[f7,f45_D]) ).

fof(f7,axiom,
    ! [X0,X5] :
      ( p(X0)
      | ~ q(fz5(X5))
      | ~ q(X5)
      | ~ q(cw)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_7) ).

fof(f390,plain,
    ( spl49_53
    | spl49_21 ),
    inference(avatar_split_clause,[],[f55,f217,f386]) ).

fof(f386,plain,
    ( spl49_53
  <=> sP11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_53])]) ).

fof(f55,plain,
    ! [X9] :
      ( q(fz(X9))
      | q(X9)
      | sP11 ),
    inference(cnf_transformation,[],[f55_D]) ).

fof(f55_D,plain,
    ( ! [X9] :
        ( q(fz(X9))
        | q(X9) )
  <=> ~ sP11 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).

fof(f389,plain,
    ( ~ spl49_53
    | ~ spl49_2
    | spl49_27
    | spl49_3 ),
    inference(avatar_split_clause,[],[f56,f140,f244,f136,f386]) ).

fof(f56,plain,
    ! [X7] :
      ( q(cw)
      | p(X7)
      | ~ p(cx)
      | ~ sP11 ),
    inference(general_splitting,[],[f10,f55_D]) ).

fof(f10,axiom,
    ! [X9,X7] :
      ( q(fz(X9))
      | q(X9)
      | q(cw)
      | p(X7)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_10) ).

fof(f332,plain,
    ( spl49_42
    | spl49_21 ),
    inference(avatar_split_clause,[],[f75,f217,f328]) ).

fof(f328,plain,
    ( spl49_42
  <=> sP21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_42])]) ).

fof(f75,plain,
    ! [X9] :
      ( q(fz(X9))
      | q(X9)
      | sP21 ),
    inference(cnf_transformation,[],[f75_D]) ).

fof(f75_D,plain,
    ( ! [X9] :
        ( q(fz(X9))
        | q(X9) )
  <=> ~ sP21 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

fof(f331,plain,
    ( ~ spl49_42
    | spl49_16
    | spl49_2
    | spl49_3 ),
    inference(avatar_split_clause,[],[f76,f140,f136,f194,f328]) ).

fof(f76,plain,
    ! [X15] :
      ( q(cw)
      | p(cx)
      | ~ p(X15)
      | ~ sP21 ),
    inference(general_splitting,[],[f15,f75_D]) ).

fof(f15,axiom,
    ! [X9,X15] :
      ( q(fz(X9))
      | q(X9)
      | q(cw)
      | p(cx)
      | ~ p(X15) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_15) ).

fof(f326,plain,
    ( spl49_41
    | spl49_16 ),
    inference(avatar_split_clause,[],[f77,f194,f322]) ).

fof(f322,plain,
    ( spl49_41
  <=> sP22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_41])]) ).

fof(f77,plain,
    ! [X3] :
      ( ~ p(X3)
      | sP22 ),
    inference(cnf_transformation,[],[f77_D]) ).

fof(f77_D,plain,
    ( ! [X3] : ~ p(X3)
  <=> ~ sP22 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).

fof(f325,plain,
    ( ~ spl49_41
    | ~ spl49_3
    | spl49_7
    | spl49_2 ),
    inference(avatar_split_clause,[],[f78,f136,f156,f140,f322]) ).

fof(f78,plain,
    ! [X5] :
      ( p(cx)
      | ~ q(fz5(X5))
      | ~ q(X5)
      | ~ q(cw)
      | ~ sP22 ),
    inference(general_splitting,[],[f16,f77_D]) ).

fof(f16,axiom,
    ! [X3,X5] :
      ( p(cx)
      | ~ q(fz5(X5))
      | ~ q(X5)
      | ~ q(cw)
      | ~ p(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_16) ).

fof(f298,plain,
    ( spl49_36
    | spl49_10 ),
    inference(avatar_split_clause,[],[f87,f169,f294]) ).

fof(f294,plain,
    ( spl49_36
  <=> sP27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_36])]) ).

fof(f87,plain,
    ! [X18] :
      ( p(fy(X18))
      | p(X18)
      | sP27 ),
    inference(cnf_transformation,[],[f87_D]) ).

fof(f87_D,plain,
    ( ! [X18] :
        ( p(fy(X18))
        | p(X18) )
  <=> ~ sP27 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f297,plain,
    ( ~ spl49_36
    | ~ spl49_3
    | spl49_2
    | spl49_17 ),
    inference(avatar_split_clause,[],[f88,f199,f136,f140,f294]) ).

fof(f88,plain,
    ! [X12] :
      ( q(X12)
      | p(cx)
      | ~ q(cw)
      | ~ sP27 ),
    inference(general_splitting,[],[f19,f87_D]) ).

fof(f19,axiom,
    ! [X18,X12] :
      ( q(X12)
      | p(fy(X18))
      | p(X18)
      | p(cx)
      | ~ q(cw) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_19) ).

fof(f292,plain,
    ( spl49_35
    | spl49_10 ),
    inference(avatar_split_clause,[],[f89,f169,f288]) ).

fof(f288,plain,
    ( spl49_35
  <=> sP28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_35])]) ).

fof(f89,plain,
    ! [X18] :
      ( p(fy(X18))
      | p(X18)
      | sP28 ),
    inference(cnf_transformation,[],[f89_D]) ).

fof(f89_D,plain,
    ( ! [X18] :
        ( p(fy(X18))
        | p(X18) )
  <=> ~ sP28 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f291,plain,
    ( ~ spl49_35
    | spl49_22
    | spl49_2
    | spl49_3 ),
    inference(avatar_split_clause,[],[f90,f140,f136,f222,f288]) ).

fof(f90,plain,
    ! [X19] :
      ( q(cw)
      | p(cx)
      | ~ q(X19)
      | ~ sP28 ),
    inference(general_splitting,[],[f20,f89_D]) ).

fof(f20,axiom,
    ! [X18,X19] :
      ( q(cw)
      | p(fy(X18))
      | p(X18)
      | p(cx)
      | ~ q(X19) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_20) ).

fof(f280,plain,
    ( spl49_33
    | spl49_26 ),
    inference(avatar_split_clause,[],[f93,f238,f276]) ).

fof(f276,plain,
    ( spl49_33
  <=> sP30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_33])]) ).

fof(f93,plain,
    ! [X18] :
      ( ~ p(fy(X18))
      | ~ p(X18)
      | sP30 ),
    inference(cnf_transformation,[],[f93_D]) ).

fof(f93_D,plain,
    ( ! [X18] :
        ( ~ p(fy(X18))
        | ~ p(X18) )
  <=> ~ sP30 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f279,plain,
    ( ~ spl49_33
    | ~ spl49_2
    | spl49_3
    | spl49_21 ),
    inference(avatar_split_clause,[],[f94,f217,f140,f136,f276]) ).

fof(f94,plain,
    ! [X9] :
      ( q(fz(X9))
      | q(X9)
      | q(cw)
      | ~ p(cx)
      | ~ sP30 ),
    inference(general_splitting,[],[f22,f93_D]) ).

fof(f22,axiom,
    ! [X18,X9] :
      ( q(fz(X9))
      | q(X9)
      | q(cw)
      | ~ p(fy(X18))
      | ~ p(X18)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_22) ).

fof(f274,plain,
    ( spl49_32
    | spl49_12 ),
    inference(avatar_split_clause,[],[f95,f178,f270]) ).

fof(f270,plain,
    ( spl49_32
  <=> sP31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_32])]) ).

fof(f95,plain,
    ! [X4] :
      ( ~ p(fy5(X4))
      | ~ p(X4)
      | sP31 ),
    inference(cnf_transformation,[],[f95_D]) ).

fof(f95_D,plain,
    ( ! [X4] :
        ( ~ p(fy5(X4))
        | ~ p(X4) )
  <=> ~ sP31 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f273,plain,
    ( ~ spl49_32
    | ~ spl49_2
    | ~ spl49_3
    | spl49_7 ),
    inference(avatar_split_clause,[],[f96,f156,f140,f136,f270]) ).

fof(f96,plain,
    ! [X5] :
      ( ~ q(fz5(X5))
      | ~ q(X5)
      | ~ q(cw)
      | ~ p(cx)
      | ~ sP31 ),
    inference(general_splitting,[],[f23,f95_D]) ).

fof(f23,axiom,
    ! [X4,X5] :
      ( ~ q(fz5(X5))
      | ~ q(X5)
      | ~ q(cw)
      | ~ p(fy5(X4))
      | ~ p(X4)
      | ~ p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_23) ).

fof(f171,plain,
    ( spl49_8
    | spl49_10 ),
    inference(avatar_split_clause,[],[f125,f169,f161]) ).

fof(f161,plain,
    ( spl49_8
  <=> sP46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).

fof(f125,plain,
    ! [X18] :
      ( p(fy(X18))
      | p(X18)
      | sP46 ),
    inference(cnf_transformation,[],[f125_D]) ).

fof(f125_D,plain,
    ( ! [X18] :
        ( p(fy(X18))
        | p(X18) )
  <=> ~ sP46 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP46])]) ).

fof(f167,plain,
    ( ~ spl49_8
    | ~ spl49_3
    | spl49_9
    | spl49_2 ),
    inference(avatar_split_clause,[],[f126,f136,f165,f140,f161]) ).

fof(f126,plain,
    ! [X9] :
      ( p(cx)
      | ~ q(fz(X9))
      | ~ q(X9)
      | ~ q(cw)
      | ~ sP46 ),
    inference(general_splitting,[],[f30,f125_D]) ).

fof(f30,axiom,
    ! [X18,X9] :
      ( p(fy(X18))
      | p(X18)
      | p(cx)
      | ~ q(fz(X9))
      | ~ q(X9)
      | ~ q(cw) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_30) ).

fof(f150,plain,
    ( spl49_1
    | spl49_5 ),
    inference(avatar_split_clause,[],[f129,f148,f132]) ).

fof(f132,plain,
    ( spl49_1
  <=> sP48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).

fof(f129,plain,
    ! [X4] :
      ( p(fy5(X4))
      | p(X4)
      | sP48 ),
    inference(cnf_transformation,[],[f129_D]) ).

fof(f129_D,plain,
    ( ! [X4] :
        ( p(fy5(X4))
        | p(X4) )
  <=> ~ sP48 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])]) ).

fof(f146,plain,
    ( ~ spl49_1
    | spl49_2
    | spl49_3
    | spl49_4 ),
    inference(avatar_split_clause,[],[f130,f144,f140,f136,f132]) ).

fof(f130,plain,
    ! [X5] :
      ( q(fz5(X5))
      | q(X5)
      | q(cw)
      | p(cx)
      | ~ sP48 ),
    inference(general_splitting,[],[f32,f129_D]) ).

fof(f32,axiom,
    ! [X4,X5] :
      ( q(fz5(X5))
      | q(X5)
      | q(cw)
      | p(fy5(X4))
      | p(X4)
      | p(cx) ),
    file('/export/starexec/sandbox/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317',clause_32) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % 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 : n005.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   : Fri May  3 17:31:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_NEQ_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/tmp/tmp.66xpU9EaPM/Vampire---4.8_12317
% 0.58/0.73  % (12432)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)
% 0.58/0.73  % (12426)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)
% 0.58/0.73  % (12428)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.73  % (12427)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)
% 0.58/0.73  % (12431)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)
% 0.58/0.73  % (12429)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)
% 0.58/0.73  % (12433)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)
% 0.58/0.73  % (12432)First to succeed.
% 0.58/0.73  % (12428)Also succeeded, but the first one will report.
% 0.58/0.73  % (12426)Also succeeded, but the first one will report.
% 0.58/0.73  % (12427)Also succeeded, but the first one will report.
% 0.58/0.73  % (12429)Also succeeded, but the first one will report.
% 0.58/0.73  % (12433)Also succeeded, but the first one will report.
% 0.58/0.73  % (12432)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12425"
% 0.58/0.73  % (12432)Refutation found. Thanks to Tanya!
% 0.58/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.73  % (12432)------------------------------
% 0.58/0.73  % (12432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (12432)Termination reason: Refutation
% 0.58/0.73  
% 0.58/0.73  % (12432)Memory used [KB]: 1234
% 0.58/0.73  % (12432)Time elapsed: 0.005 s
% 0.58/0.73  % (12432)Instructions burned: 11 (million)
% 0.58/0.73  % (12425)Success in time 0.373 s
% 0.58/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------