TSTP Solution File: PHI013+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PHI013+1 : TPTP v8.2.0. Released v7.2.0.
% 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 : n025.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 02:18:46 EDT 2024

% Result   : Theorem 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  118 (  12 unt;   0 def)
%            Number of atoms       :  442 (  14 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  544 ( 220   ~; 217   |;  70   &)
%                                         (  15 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  13 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :  112 (  89   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f195,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f79,f84,f111,f122,f138,f142,f146,f154,f165,f173,f182,f193]) ).

fof(f193,plain,
    ( ~ spl6_6
    | ~ spl6_13 ),
    inference(avatar_contradiction_clause,[],[f192]) ).

fof(f192,plain,
    ( $false
    | ~ spl6_6
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f191,f44]) ).

fof(f44,plain,
    ~ exemplifies_property(existence,god),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ exemplifies_property(existence,god),
    inference(flattening,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    exemplifies_property(existence,god),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).

fof(f191,plain,
    ( exemplifies_property(existence,god)
    | ~ spl6_6
    | ~ spl6_13 ),
    inference(forward_demodulation,[],[f102,f137]) ).

fof(f137,plain,
    ( god = sK1
    | ~ spl6_13 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl6_13
  <=> god = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

fof(f102,plain,
    ( exemplifies_property(existence,sK1)
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl6_6
  <=> exemplifies_property(existence,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f182,plain,
    ~ spl6_1,
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f179,f51]) ).

fof(f51,plain,
    object(sK2),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( exemplifies_property(none_greater,sK2)
    & object(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f14,f32]) ).

fof(f32,plain,
    ( ? [X0] :
        ( exemplifies_property(none_greater,X0)
        & object(X0) )
   => ( exemplifies_property(none_greater,sK2)
      & object(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ? [X0] :
      ( exemplifies_property(none_greater,X0)
      & object(X0) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ? [X4] :
      ( exemplifies_property(none_greater,X4)
      & object(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).

fof(f179,plain,
    ( ~ object(sK2)
    | ~ spl6_1 ),
    inference(resolution,[],[f70,f52]) ).

fof(f52,plain,
    exemplifies_property(none_greater,sK2),
    inference(cnf_transformation,[],[f33]) ).

fof(f70,plain,
    ( ! [X2] :
        ( ~ exemplifies_property(none_greater,X2)
        | ~ object(X2) )
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl6_1
  <=> ! [X2] :
        ( ~ exemplifies_property(none_greater,X2)
        | ~ object(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f173,plain,
    ( spl6_7
    | ~ spl6_11
    | ~ spl6_13 ),
    inference(avatar_contradiction_clause,[],[f172]) ).

fof(f172,plain,
    ( $false
    | spl6_7
    | ~ spl6_11
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f171,f128]) ).

fof(f128,plain,
    ( object(god)
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl6_11
  <=> object(god) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f171,plain,
    ( ~ object(god)
    | spl6_7
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f170,f65]) ).

fof(f65,plain,
    is_the(god,none_greater),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    is_the(god,none_greater),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).

fof(f170,plain,
    ( ~ is_the(god,none_greater)
    | ~ object(god)
    | spl6_7
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f168,f44]) ).

fof(f168,plain,
    ( exemplifies_property(existence,god)
    | ~ is_the(god,none_greater)
    | ~ object(god)
    | spl6_7
    | ~ spl6_13 ),
    inference(resolution,[],[f167,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( exemplifies_property(conceivable,sK0(X0))
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ( exemplifies_property(conceivable,sK0(X0))
        & exemplifies_relation(greater_than,sK0(X0),X0)
        & object(sK0(X0)) )
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ? [X1] :
          ( exemplifies_property(conceivable,X1)
          & exemplifies_relation(greater_than,X1,X0)
          & object(X1) )
     => ( exemplifies_property(conceivable,sK0(X0))
        & exemplifies_relation(greater_than,sK0(X0),X0)
        & object(sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ! [X0] :
      ( ? [X1] :
          ( exemplifies_property(conceivable,X1)
          & exemplifies_relation(greater_than,X1,X0)
          & object(X1) )
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X1] :
          ( exemplifies_property(conceivable,X1)
          & exemplifies_relation(greater_than,X1,X0)
          & object(X1) )
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( object(X0)
     => ( ( ~ exemplifies_property(existence,X0)
          & is_the(X0,none_greater) )
       => ? [X1] :
            ( exemplifies_property(conceivable,X1)
            & exemplifies_relation(greater_than,X1,X0)
            & object(X1) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X4] :
      ( object(X4)
     => ( ( ~ exemplifies_property(existence,X4)
          & is_the(X4,none_greater) )
       => ? [X1] :
            ( exemplifies_property(conceivable,X1)
            & exemplifies_relation(greater_than,X1,X4)
            & object(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).

fof(f167,plain,
    ( ~ exemplifies_property(conceivable,sK0(god))
    | spl6_7
    | ~ spl6_13 ),
    inference(forward_demodulation,[],[f106,f137]) ).

fof(f106,plain,
    ( ~ exemplifies_property(conceivable,sK0(sK1))
    | spl6_7 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl6_7
  <=> exemplifies_property(conceivable,sK0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f165,plain,
    ( spl6_8
    | ~ spl6_11
    | ~ spl6_13 ),
    inference(avatar_contradiction_clause,[],[f164]) ).

fof(f164,plain,
    ( $false
    | spl6_8
    | ~ spl6_11
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f163,f128]) ).

fof(f163,plain,
    ( ~ object(god)
    | spl6_8
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f162,f65]) ).

fof(f162,plain,
    ( ~ is_the(god,none_greater)
    | ~ object(god)
    | spl6_8
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f160,f44]) ).

fof(f160,plain,
    ( exemplifies_property(existence,god)
    | ~ is_the(god,none_greater)
    | ~ object(god)
    | spl6_8
    | ~ spl6_13 ),
    inference(resolution,[],[f156,f45]) ).

fof(f45,plain,
    ! [X0] :
      ( object(sK0(X0))
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f156,plain,
    ( ~ object(sK0(god))
    | spl6_8
    | ~ spl6_13 ),
    inference(forward_demodulation,[],[f110,f137]) ).

fof(f110,plain,
    ( ~ object(sK0(sK1))
    | spl6_8 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl6_8
  <=> object(sK0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f154,plain,
    ( spl6_5
    | ~ spl6_13 ),
    inference(avatar_contradiction_clause,[],[f153]) ).

fof(f153,plain,
    ( $false
    | spl6_5
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f147,f65]) ).

fof(f147,plain,
    ( ~ is_the(god,none_greater)
    | spl6_5
    | ~ spl6_13 ),
    inference(backward_demodulation,[],[f98,f137]) ).

fof(f98,plain,
    ( ~ is_the(sK1,none_greater)
    | spl6_5 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl6_5
  <=> is_the(sK1,none_greater) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f146,plain,
    ~ spl6_10,
    inference(avatar_contradiction_clause,[],[f144]) ).

fof(f144,plain,
    ( $false
    | ~ spl6_10 ),
    inference(resolution,[],[f121,f65]) ).

fof(f121,plain,
    ( ! [X0] : ~ is_the(X0,none_greater)
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl6_10
  <=> ! [X0] : ~ is_the(X0,none_greater) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f142,plain,
    spl6_11,
    inference(avatar_contradiction_clause,[],[f141]) ).

fof(f141,plain,
    ( $false
    | spl6_11 ),
    inference(resolution,[],[f139,f65]) ).

fof(f139,plain,
    ( ! [X0] : ~ is_the(god,X0)
    | spl6_11 ),
    inference(resolution,[],[f129,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( object(X0)
      | ~ is_the(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( object(X0)
        & property(X1) )
      | ~ is_the(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( is_the(X0,X1)
     => ( object(X0)
        & property(X1) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X4,X0] :
      ( is_the(X4,X0)
     => ( object(X4)
        & property(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).

fof(f129,plain,
    ( ~ object(god)
    | spl6_11 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f138,plain,
    ( spl6_13
    | ~ spl6_11
    | ~ spl6_2
    | ~ spl6_9 ),
    inference(avatar_split_clause,[],[f125,f117,f72,f127,f135]) ).

fof(f72,plain,
    ( spl6_2
  <=> ! [X1] :
        ( sK1 = X1
        | ~ object(X1)
        | ~ exemplifies_property(none_greater,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f117,plain,
    ( spl6_9
  <=> ! [X1] :
        ( exemplifies_property(none_greater,X1)
        | ~ is_the(X1,none_greater) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f125,plain,
    ( ~ object(god)
    | god = sK1
    | ~ spl6_2
    | ~ spl6_9 ),
    inference(resolution,[],[f123,f73]) ).

fof(f73,plain,
    ( ! [X1] :
        ( ~ exemplifies_property(none_greater,X1)
        | ~ object(X1)
        | sK1 = X1 )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f123,plain,
    ( exemplifies_property(none_greater,god)
    | ~ spl6_9 ),
    inference(resolution,[],[f118,f65]) ).

fof(f118,plain,
    ( ! [X1] :
        ( ~ is_the(X1,none_greater)
        | exemplifies_property(none_greater,X1) )
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f122,plain,
    ( spl6_9
    | spl6_10 ),
    inference(avatar_split_clause,[],[f115,f120,f117]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ is_the(X0,none_greater)
      | exemplifies_property(none_greater,X1)
      | ~ is_the(X1,none_greater) ),
    inference(resolution,[],[f114,f65]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_the(X3,X1)
      | ~ is_the(X2,X1)
      | exemplifies_property(X1,X0)
      | ~ is_the(X0,X1) ),
    inference(subsumption_resolution,[],[f113,f67]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_the(X0,X1)
      | ~ is_the(X2,X1)
      | ~ object(X2)
      | exemplifies_property(X1,X0)
      | ~ is_the(X3,X1) ),
    inference(subsumption_resolution,[],[f112,f67]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_the(X0,X1)
      | ~ object(X0)
      | ~ is_the(X2,X1)
      | ~ object(X2)
      | exemplifies_property(X1,X0)
      | ~ is_the(X3,X1) ),
    inference(resolution,[],[f58,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( property(X1)
      | ~ is_the(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ property(X0)
      | ~ is_the(X1,X0)
      | ~ object(X1)
      | ~ is_the(X2,X0)
      | ~ object(X2)
      | exemplifies_property(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( exemplifies_property(X0,X1)
          | ~ is_the(X1,X0)
          | ~ object(X1) )
      | ! [X2] :
          ( ~ is_the(X2,X0)
          | ~ object(X2) )
      | ~ property(X0) ),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ! [X2] :
          ( exemplifies_property(X0,X2)
          | ~ is_the(X2,X0)
          | ~ object(X2) )
      | ! [X1] :
          ( ~ is_the(X1,X0)
          | ~ object(X1) )
      | ~ property(X0) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ! [X2] :
          ( exemplifies_property(X0,X2)
          | ~ is_the(X2,X0)
          | ~ object(X2) )
      | ! [X1] :
          ( ~ is_the(X1,X0)
          | ~ object(X1) )
      | ~ property(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( property(X0)
     => ( ? [X1] :
            ( is_the(X1,X0)
            & object(X1) )
       => ! [X2] :
            ( object(X2)
           => ( is_the(X2,X0)
             => exemplifies_property(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).

fof(f111,plain,
    ( ~ spl6_5
    | spl6_6
    | ~ spl6_7
    | ~ spl6_8
    | ~ spl6_3
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f94,f81,f76,f108,f104,f100,f96]) ).

fof(f76,plain,
    ( spl6_3
  <=> exemplifies_property(none_greater,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f81,plain,
    ( spl6_4
  <=> object(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f94,plain,
    ( ~ object(sK0(sK1))
    | ~ exemplifies_property(conceivable,sK0(sK1))
    | exemplifies_property(existence,sK1)
    | ~ is_the(sK1,none_greater)
    | ~ spl6_3
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f92,f83]) ).

fof(f83,plain,
    ( object(sK1)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f92,plain,
    ( ~ object(sK0(sK1))
    | ~ exemplifies_property(conceivable,sK0(sK1))
    | exemplifies_property(existence,sK1)
    | ~ is_the(sK1,none_greater)
    | ~ object(sK1)
    | ~ spl6_3
    | ~ spl6_4 ),
    inference(resolution,[],[f91,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( exemplifies_relation(greater_than,sK0(X0),X0)
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f91,plain,
    ( ! [X0] :
        ( ~ exemplifies_relation(greater_than,X0,sK1)
        | ~ object(X0)
        | ~ exemplifies_property(conceivable,X0) )
    | ~ spl6_3
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f90,f83]) ).

fof(f90,plain,
    ( ! [X0] :
        ( ~ exemplifies_relation(greater_than,X0,sK1)
        | ~ object(X0)
        | ~ exemplifies_property(conceivable,X0)
        | ~ object(sK1) )
    | ~ spl6_3 ),
    inference(resolution,[],[f54,f78]) ).

fof(f78,plain,
    ( exemplifies_property(none_greater,sK1)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f54,plain,
    ! [X2,X0] :
      ( ~ exemplifies_property(none_greater,X0)
      | ~ exemplifies_relation(greater_than,X2,X0)
      | ~ object(X2)
      | ~ exemplifies_property(conceivable,X2)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ( ( exemplifies_property(none_greater,X0)
          | ( exemplifies_property(conceivable,sK3(X0))
            & exemplifies_relation(greater_than,sK3(X0),X0)
            & object(sK3(X0)) )
          | ~ exemplifies_property(conceivable,X0) )
        & ( ( ! [X2] :
                ( ~ exemplifies_property(conceivable,X2)
                | ~ exemplifies_relation(greater_than,X2,X0)
                | ~ object(X2) )
            & exemplifies_property(conceivable,X0) )
          | ~ exemplifies_property(none_greater,X0) ) )
      | ~ object(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f36,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ? [X1] :
          ( exemplifies_property(conceivable,X1)
          & exemplifies_relation(greater_than,X1,X0)
          & object(X1) )
     => ( exemplifies_property(conceivable,sK3(X0))
        & exemplifies_relation(greater_than,sK3(X0),X0)
        & object(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0] :
      ( ( ( exemplifies_property(none_greater,X0)
          | ? [X1] :
              ( exemplifies_property(conceivable,X1)
              & exemplifies_relation(greater_than,X1,X0)
              & object(X1) )
          | ~ exemplifies_property(conceivable,X0) )
        & ( ( ! [X2] :
                ( ~ exemplifies_property(conceivable,X2)
                | ~ exemplifies_relation(greater_than,X2,X0)
                | ~ object(X2) )
            & exemplifies_property(conceivable,X0) )
          | ~ exemplifies_property(none_greater,X0) ) )
      | ~ object(X0) ),
    inference(rectify,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ( ( exemplifies_property(none_greater,X0)
          | ? [X1] :
              ( exemplifies_property(conceivable,X1)
              & exemplifies_relation(greater_than,X1,X0)
              & object(X1) )
          | ~ exemplifies_property(conceivable,X0) )
        & ( ( ! [X1] :
                ( ~ exemplifies_property(conceivable,X1)
                | ~ exemplifies_relation(greater_than,X1,X0)
                | ~ object(X1) )
            & exemplifies_property(conceivable,X0) )
          | ~ exemplifies_property(none_greater,X0) ) )
      | ~ object(X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ( ( exemplifies_property(none_greater,X0)
          | ? [X1] :
              ( exemplifies_property(conceivable,X1)
              & exemplifies_relation(greater_than,X1,X0)
              & object(X1) )
          | ~ exemplifies_property(conceivable,X0) )
        & ( ( ! [X1] :
                ( ~ exemplifies_property(conceivable,X1)
                | ~ exemplifies_relation(greater_than,X1,X0)
                | ~ object(X1) )
            & exemplifies_property(conceivable,X0) )
          | ~ exemplifies_property(none_greater,X0) ) )
      | ~ object(X0) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ( exemplifies_property(none_greater,X0)
      <=> ( ! [X1] :
              ( ~ exemplifies_property(conceivable,X1)
              | ~ exemplifies_relation(greater_than,X1,X0)
              | ~ object(X1) )
          & exemplifies_property(conceivable,X0) ) )
      | ~ object(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( object(X0)
     => ( exemplifies_property(none_greater,X0)
      <=> ( ~ ? [X1] :
                ( exemplifies_property(conceivable,X1)
                & exemplifies_relation(greater_than,X1,X0)
                & object(X1) )
          & exemplifies_property(conceivable,X0) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X4] :
      ( object(X4)
     => ( exemplifies_property(none_greater,X4)
      <=> ( ~ ? [X1] :
                ( exemplifies_property(conceivable,X1)
                & exemplifies_relation(greater_than,X1,X4)
                & object(X1) )
          & exemplifies_property(conceivable,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).

fof(f84,plain,
    ( spl6_1
    | spl6_4 ),
    inference(avatar_split_clause,[],[f48,f81,f69]) ).

fof(f48,plain,
    ! [X2] :
      ( object(sK1)
      | ~ exemplifies_property(none_greater,X2)
      | ~ object(X2) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ( ! [X1] :
          ( sK1 = X1
          | ~ exemplifies_property(none_greater,X1)
          | ~ object(X1) )
      & exemplifies_property(none_greater,sK1)
      & object(sK1) )
    | ! [X2] :
        ( ~ exemplifies_property(none_greater,X2)
        | ~ object(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f29,f30]) ).

fof(f30,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( X0 = X1
            | ~ exemplifies_property(none_greater,X1)
            | ~ object(X1) )
        & exemplifies_property(none_greater,X0)
        & object(X0) )
   => ( ! [X1] :
          ( sK1 = X1
          | ~ exemplifies_property(none_greater,X1)
          | ~ object(X1) )
      & exemplifies_property(none_greater,sK1)
      & object(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( X0 = X1
            | ~ exemplifies_property(none_greater,X1)
            | ~ object(X1) )
        & exemplifies_property(none_greater,X0)
        & object(X0) )
    | ! [X2] :
        ( ~ exemplifies_property(none_greater,X2)
        | ~ object(X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ( ? [X1] :
        ( ! [X2] :
            ( X1 = X2
            | ~ exemplifies_property(none_greater,X2)
            | ~ object(X2) )
        & exemplifies_property(none_greater,X1)
        & object(X1) )
    | ! [X0] :
        ( ~ exemplifies_property(none_greater,X0)
        | ~ object(X0) ) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ( ? [X1] :
        ( ! [X2] :
            ( X1 = X2
            | ~ exemplifies_property(none_greater,X2)
            | ~ object(X2) )
        & exemplifies_property(none_greater,X1)
        & object(X1) )
    | ! [X0] :
        ( ~ exemplifies_property(none_greater,X0)
        | ~ object(X0) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ( ? [X0] :
        ( exemplifies_property(none_greater,X0)
        & object(X0) )
   => ? [X1] :
        ( ! [X2] :
            ( object(X2)
           => ( exemplifies_property(none_greater,X2)
             => X1 = X2 ) )
        & exemplifies_property(none_greater,X1)
        & object(X1) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ( ? [X4] :
        ( exemplifies_property(none_greater,X4)
        & object(X4) )
   => ? [X4] :
        ( ! [X1] :
            ( object(X1)
           => ( exemplifies_property(none_greater,X1)
             => X1 = X4 ) )
        & exemplifies_property(none_greater,X4)
        & object(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).

fof(f79,plain,
    ( spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f49,f76,f69]) ).

fof(f49,plain,
    ! [X2] :
      ( exemplifies_property(none_greater,sK1)
      | ~ exemplifies_property(none_greater,X2)
      | ~ object(X2) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f74,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f50,f72,f69]) ).

fof(f50,plain,
    ! [X2,X1] :
      ( sK1 = X1
      | ~ exemplifies_property(none_greater,X1)
      | ~ object(X1)
      | ~ exemplifies_property(none_greater,X2)
      | ~ object(X2) ),
    inference(cnf_transformation,[],[f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PHI013+1 : TPTP v8.2.0. Released v7.2.0.
% 0.03/0.14  % 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
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 14:43:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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
% 0.52/0.72  % (31684)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.52/0.72  % (31685)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.52/0.72  % (31684)Refutation not found, incomplete strategy% (31684)------------------------------
% 0.52/0.72  % (31684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72  % (31684)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.72  
% 0.52/0.72  % (31684)Memory used [KB]: 954
% 0.52/0.72  % (31684)Time elapsed: 0.002 s
% 0.52/0.72  % (31684)Instructions burned: 2 (million)
% 0.52/0.72  % (31678)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.52/0.72  % (31680)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.72  % (31681)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.52/0.72  % (31679)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.52/0.72  % (31684)------------------------------
% 0.52/0.72  % (31684)------------------------------
% 0.52/0.72  % (31685)Refutation not found, incomplete strategy% (31685)------------------------------
% 0.52/0.72  % (31685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72  % (31685)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.72  
% 0.52/0.72  % (31685)Memory used [KB]: 951
% 0.52/0.72  % (31685)Time elapsed: 0.002 s
% 0.52/0.72  % (31685)Instructions burned: 2 (million)
% 0.52/0.72  % (31685)------------------------------
% 0.52/0.72  % (31685)------------------------------
% 0.57/0.72  % (31681)Refutation not found, incomplete strategy% (31681)------------------------------
% 0.57/0.72  % (31681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.72  % (31681)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (31681)Memory used [KB]: 957
% 0.57/0.72  % (31681)Time elapsed: 0.002 s
% 0.57/0.72  % (31681)Instructions burned: 2 (million)
% 0.57/0.72  % (31681)------------------------------
% 0.57/0.72  % (31681)------------------------------
% 0.57/0.72  % (31678)Refutation not found, incomplete strategy% (31678)------------------------------
% 0.57/0.72  % (31678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.72  % (31678)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (31678)Memory used [KB]: 958
% 0.57/0.72  % (31678)Time elapsed: 0.003 s
% 0.57/0.72  % (31678)Instructions burned: 2 (million)
% 0.57/0.72  % (31678)------------------------------
% 0.57/0.72  % (31678)------------------------------
% 0.57/0.73  % (31683)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.73  % (31683)Refutation not found, incomplete strategy% (31683)------------------------------
% 0.57/0.73  % (31683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (31683)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (31683)Memory used [KB]: 951
% 0.57/0.73  % (31683)Time elapsed: 0.001 s
% 0.57/0.73  % (31683)Instructions burned: 2 (million)
% 0.57/0.73  % (31683)------------------------------
% 0.57/0.73  % (31683)------------------------------
% 0.57/0.73  % (31686)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.73  % (31682)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.73  % (31680)First to succeed.
% 0.57/0.73  % (31687)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.57/0.73  % (31688)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.73  % (31690)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.57/0.73  % (31679)Also succeeded, but the first one will report.
% 0.57/0.73  % (31688)Refutation not found, incomplete strategy% (31688)------------------------------
% 0.57/0.73  % (31688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (31688)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (31688)Memory used [KB]: 958
% 0.57/0.73  % (31688)Time elapsed: 0.002 s
% 0.57/0.73  % (31688)Instructions burned: 2 (million)
% 0.57/0.73  % (31689)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.57/0.73  % (31686)Also succeeded, but the first one will report.
% 0.57/0.73  % (31688)------------------------------
% 0.57/0.73  % (31688)------------------------------
% 0.57/0.73  % (31682)Refutation not found, incomplete strategy% (31682)------------------------------
% 0.57/0.73  % (31682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (31682)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (31682)Memory used [KB]: 1050
% 0.57/0.73  % (31682)Time elapsed: 0.004 s
% 0.57/0.73  % (31682)Instructions burned: 3 (million)
% 0.57/0.73  % (31680)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31677"
% 0.57/0.73  % (31682)------------------------------
% 0.57/0.73  % (31682)------------------------------
% 0.57/0.73  % (31690)Refutation not found, incomplete strategy% (31690)------------------------------
% 0.57/0.73  % (31690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (31690)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (31690)Memory used [KB]: 1053
% 0.57/0.73  % (31690)Time elapsed: 0.002 s
% 0.57/0.73  % (31690)Instructions burned: 3 (million)
% 0.57/0.73  % (31690)------------------------------
% 0.57/0.73  % (31690)------------------------------
% 0.57/0.73  % (31680)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Theorem for theBenchmark
% 0.57/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.73  % (31680)------------------------------
% 0.57/0.73  % (31680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (31680)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (31680)Memory used [KB]: 1086
% 0.57/0.73  % (31680)Time elapsed: 0.008 s
% 0.57/0.73  % (31680)Instructions burned: 9 (million)
% 0.57/0.73  % (31677)Success in time 0.375 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------