TSTP Solution File: PHI015+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PHI015+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 08:45:18 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   93 (  10 unt;   0 def)
%            Number of atoms       :  409 (  42 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  506 ( 190   ~; 174   |; 109   &)
%                                         (  14 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   6 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  132 ( 108   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f320,plain,
    $false,
    inference(avatar_sat_refutation,[],[f134,f145,f148,f151,f157,f318]) ).

fof(f318,plain,
    ( ~ spl11_4
    | ~ spl11_6 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f316,f143]) ).

fof(f143,plain,
    ( object(god)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl11_6
  <=> object(god) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f316,plain,
    ( ~ object(god)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f315,f96]) ).

fof(f96,plain,
    is_the(god,none_greater),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    is_the(god,none_greater),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',definition_god) ).

fof(f315,plain,
    ( ~ is_the(god,none_greater)
    | ~ object(god)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f313,f61]) ).

fof(f61,plain,
    ~ exemplifies_property(existence,god),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ~ exemplifies_property(existence,god),
    inference(flattening,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    exemplifies_property(existence,god),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',god_exists) ).

fof(f313,plain,
    ( exemplifies_property(existence,god)
    | ~ is_the(god,none_greater)
    | ~ object(god)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(resolution,[],[f312,f64]) ).

fof(f64,plain,
    ! [X0] :
      ( exemplifies_property(conceivable,sK4(X0))
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ( exemplifies_property(conceivable,sK4(X0))
        & exemplifies_relation(greater_than,sK4(X0),X0)
        & object(sK4(X0)) )
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f20,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ? [X1] :
          ( exemplifies_property(conceivable,X1)
          & exemplifies_relation(greater_than,X1,X0)
          & object(X1) )
     => ( exemplifies_property(conceivable,sK4(X0))
        & exemplifies_relation(greater_than,sK4(X0),X0)
        & object(sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,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,[],[f19]) ).

fof(f19,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,[],[f14]) ).

fof(f14,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,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( object(X0)
     => ( ( ~ exemplifies_property(existence,X0)
          & is_the(X0,none_greater) )
       => ? [X3] :
            ( exemplifies_property(conceivable,X3)
            & exemplifies_relation(greater_than,X3,X0)
            & object(X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',premise_2) ).

fof(f312,plain,
    ( ~ exemplifies_property(conceivable,sK4(god))
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f311,f143]) ).

fof(f311,plain,
    ( ~ exemplifies_property(conceivable,sK4(god))
    | ~ object(god)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f310,f96]) ).

fof(f310,plain,
    ( ~ exemplifies_property(conceivable,sK4(god))
    | ~ is_the(god,none_greater)
    | ~ object(god)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f307,f61]) ).

fof(f307,plain,
    ( ~ exemplifies_property(conceivable,sK4(god))
    | exemplifies_property(existence,god)
    | ~ is_the(god,none_greater)
    | ~ object(god)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(resolution,[],[f179,f63]) ).

fof(f63,plain,
    ! [X0] :
      ( exemplifies_relation(greater_than,sK4(X0),X0)
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f179,plain,
    ( ! [X0] :
        ( ~ exemplifies_relation(greater_than,X0,god)
        | ~ exemplifies_property(conceivable,X0) )
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f178,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( object(X0)
      | ~ exemplifies_property(X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( object(X0)
        & property(X1) )
      | ~ exemplifies_property(X1,X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( exemplifies_property(X1,X0)
     => ( object(X0)
        & property(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',exemplifier_is_object_and_exemplified_is_property) ).

fof(f178,plain,
    ( ! [X0] :
        ( ~ exemplifies_relation(greater_than,X0,god)
        | ~ object(X0)
        | ~ exemplifies_property(conceivable,X0) )
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f176,f143]) ).

fof(f176,plain,
    ( ! [X0] :
        ( ~ exemplifies_relation(greater_than,X0,god)
        | ~ object(X0)
        | ~ exemplifies_property(conceivable,X0)
        | ~ object(god) )
    | ~ spl11_4 ),
    inference(resolution,[],[f68,f165]) ).

fof(f165,plain,
    ( exemplifies_property(none_greater,god)
    | ~ spl11_4 ),
    inference(forward_demodulation,[],[f162,f161]) ).

fof(f161,plain,
    ( god = sK8(god,none_greater)
    | ~ spl11_4 ),
    inference(resolution,[],[f133,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | sK8(X0,X1) = X0 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ! [X2] :
            ( X0 != X2
            | ( sK7(X1,X2) != X2
              & exemplifies_property(X1,sK7(X1,X2))
              & object(sK7(X1,X2)) )
            | ~ exemplifies_property(X1,X2)
            | ~ object(X2) ) )
      & ( ( sK8(X0,X1) = X0
          & ! [X5] :
              ( sK8(X0,X1) = X5
              | ~ exemplifies_property(X1,X5)
              | ~ object(X5) )
          & exemplifies_property(X1,sK8(X0,X1))
          & object(sK8(X0,X1)) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f50,f52,f51]) ).

fof(f51,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( X2 != X3
          & exemplifies_property(X1,X3)
          & object(X3) )
     => ( sK7(X1,X2) != X2
        & exemplifies_property(X1,sK7(X1,X2))
        & object(sK7(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( X0 = X4
          & ! [X5] :
              ( X4 = X5
              | ~ exemplifies_property(X1,X5)
              | ~ object(X5) )
          & exemplifies_property(X1,X4)
          & object(X4) )
     => ( sK8(X0,X1) = X0
        & ! [X5] :
            ( sK8(X0,X1) = X5
            | ~ exemplifies_property(X1,X5)
            | ~ object(X5) )
        & exemplifies_property(X1,sK8(X0,X1))
        & object(sK8(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ! [X2] :
            ( X0 != X2
            | ? [X3] :
                ( X2 != X3
                & exemplifies_property(X1,X3)
                & object(X3) )
            | ~ exemplifies_property(X1,X2)
            | ~ object(X2) ) )
      & ( ? [X4] :
            ( X0 = X4
            & ! [X5] :
                ( X4 = X5
                | ~ exemplifies_property(X1,X5)
                | ~ object(X5) )
            & exemplifies_property(X1,X4)
            & object(X4) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X2,X0] :
      ( ( sP0(X2,X0)
        | ! [X3] :
            ( X2 != X3
            | ? [X4] :
                ( X3 != X4
                & exemplifies_property(X0,X4)
                & object(X4) )
            | ~ exemplifies_property(X0,X3)
            | ~ object(X3) ) )
      & ( ? [X3] :
            ( X2 = X3
            & ! [X4] :
                ( X3 = X4
                | ~ exemplifies_property(X0,X4)
                | ~ object(X4) )
            & exemplifies_property(X0,X3)
            & object(X3) )
        | ~ sP0(X2,X0) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X2,X0] :
      ( sP0(X2,X0)
    <=> ? [X3] :
          ( X2 = X3
          & ! [X4] :
              ( X3 = X4
              | ~ exemplifies_property(X0,X4)
              | ~ object(X4) )
          & exemplifies_property(X0,X3)
          & object(X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f133,plain,
    ( sP0(god,none_greater)
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl11_4
  <=> sP0(god,none_greater) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f162,plain,
    ( exemplifies_property(none_greater,sK8(god,none_greater))
    | ~ spl11_4 ),
    inference(resolution,[],[f133,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | exemplifies_property(X1,sK8(X0,X1)) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f68,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,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ( ( exemplifies_property(none_greater,X0)
          | ( exemplifies_property(conceivable,sK6(X0))
            & exemplifies_relation(greater_than,sK6(X0),X0)
            & object(sK6(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,[sK6])],[f43,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X1] :
          ( exemplifies_property(conceivable,X1)
          & exemplifies_relation(greater_than,X1,X0)
          & object(X1) )
     => ( exemplifies_property(conceivable,sK6(X0))
        & exemplifies_relation(greater_than,sK6(X0),X0)
        & object(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,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,[],[f42]) ).

fof(f42,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,[],[f41]) ).

fof(f41,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,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( object(X0)
     => ( exemplifies_property(none_greater,X0)
      <=> ( ~ ? [X3] :
                ( exemplifies_property(conceivable,X3)
                & exemplifies_relation(greater_than,X3,X0)
                & object(X3) )
          & exemplifies_property(conceivable,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',definition_none_greater) ).

fof(f157,plain,
    spl11_6,
    inference(avatar_contradiction_clause,[],[f156]) ).

fof(f156,plain,
    ( $false
    | spl11_6 ),
    inference(resolution,[],[f154,f96]) ).

fof(f154,plain,
    ( ! [X0] : ~ is_the(god,X0)
    | spl11_6 ),
    inference(resolution,[],[f144,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( object(X0)
      | ~ is_the(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( object(X0)
        & property(X1) )
      | ~ is_the(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( is_the(X0,X1)
     => ( object(X0)
        & property(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',description_is_property_and_described_is_object) ).

fof(f144,plain,
    ( ~ object(god)
    | spl11_6 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f151,plain,
    ~ spl11_2,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | ~ spl11_2 ),
    inference(resolution,[],[f118,f66]) ).

fof(f66,plain,
    exemplifies_property(none_greater,sK5),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( exemplifies_property(none_greater,sK5)
    & object(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f8,f39]) ).

fof(f39,plain,
    ( ? [X0] :
        ( exemplifies_property(none_greater,X0)
        & object(X0) )
   => ( exemplifies_property(none_greater,sK5)
      & object(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,axiom,
    ? [X0] :
      ( exemplifies_property(none_greater,X0)
      & object(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',premise_1) ).

fof(f118,plain,
    ( ! [X0] : ~ exemplifies_property(none_greater,X0)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl11_2
  <=> ! [X0] : ~ exemplifies_property(none_greater,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f148,plain,
    ( spl11_2
    | spl11_5 ),
    inference(avatar_split_clause,[],[f147,f138,f117]) ).

fof(f138,plain,
    ( spl11_5
  <=> property(none_greater) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f147,plain,
    ( ! [X0] : ~ exemplifies_property(none_greater,X0)
    | spl11_5 ),
    inference(resolution,[],[f140,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( property(X1)
      | ~ exemplifies_property(X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f140,plain,
    ( ~ property(none_greater)
    | spl11_5 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f145,plain,
    ( ~ spl11_5
    | ~ spl11_6
    | spl11_3 ),
    inference(avatar_split_clause,[],[f136,f127,f142,f138]) ).

fof(f127,plain,
    ( spl11_3
  <=> sP1(none_greater,god,god) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f136,plain,
    ( ~ object(god)
    | ~ property(none_greater)
    | spl11_3 ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ( ~ object(god)
    | ~ object(god)
    | ~ property(none_greater)
    | spl11_3 ),
    inference(resolution,[],[f129,f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( sP1(X0,X2,X1)
      | ~ object(X2)
      | ~ object(X1)
      | ~ property(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( sP1(X0,X2,X1)
      | ~ object(X2)
      | ~ object(X1)
      | ~ property(X0) ),
    inference(definition_folding,[],[f23,f32,f31]) ).

fof(f32,plain,
    ! [X0,X2,X1] :
      ( ( ( X1 = X2
          & is_the(X1,X0) )
      <=> sP0(X2,X0) )
      | ~ sP1(X0,X2,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( ( X1 = X2
          & is_the(X1,X0) )
      <=> ? [X3] :
            ( X2 = X3
            & ! [X4] :
                ( X3 = X4
                | ~ exemplifies_property(X0,X4)
                | ~ object(X4) )
            & exemplifies_property(X0,X3)
            & object(X3) ) )
      | ~ object(X2)
      | ~ object(X1)
      | ~ property(X0) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( ( X1 = X2
          & is_the(X1,X0) )
      <=> ? [X3] :
            ( X2 = X3
            & ! [X4] :
                ( X3 = X4
                | ~ exemplifies_property(X0,X4)
                | ~ object(X4) )
            & exemplifies_property(X0,X3)
            & object(X3) ) )
      | ~ object(X2)
      | ~ object(X1)
      | ~ property(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ( object(X2)
        & object(X1)
        & property(X0) )
     => ( ( X1 = X2
          & is_the(X1,X0) )
      <=> ? [X3] :
            ( X2 = X3
            & ! [X4] :
                ( object(X4)
               => ( exemplifies_property(X0,X4)
                 => X3 = X4 ) )
            & exemplifies_property(X0,X3)
            & object(X3) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0,X5] :
      ( ( object(X5)
        & object(X0)
        & property(X1) )
     => ( ( X0 = X5
          & is_the(X0,X1) )
      <=> ? [X3] :
            ( X3 = X5
            & ! [X4] :
                ( object(X4)
               => ( exemplifies_property(X1,X4)
                 => X3 = X4 ) )
            & exemplifies_property(X1,X3)
            & object(X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q5UUsJUoTS/Vampire---4.8_32760',description_axiom_identity_instance) ).

fof(f129,plain,
    ( ~ sP1(none_greater,god,god)
    | spl11_3 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f134,plain,
    ( ~ spl11_3
    | spl11_4 ),
    inference(avatar_split_clause,[],[f125,f131,f127]) ).

fof(f125,plain,
    ( sP0(god,none_greater)
    | ~ sP1(none_greater,god,god) ),
    inference(resolution,[],[f101,f96]) ).

fof(f101,plain,
    ! [X2,X0] :
      ( ~ is_the(X2,X0)
      | sP0(X2,X0)
      | ~ sP1(X0,X2,X2) ),
    inference(equality_resolution,[],[f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( sP0(X1,X0)
      | X1 != X2
      | ~ is_the(X2,X0)
      | ~ sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( ( ( X1 = X2
            & is_the(X2,X0) )
          | ~ sP0(X1,X0) )
        & ( sP0(X1,X0)
          | X1 != X2
          | ~ is_the(X2,X0) ) )
      | ~ sP1(X0,X1,X2) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X0,X2,X1] :
      ( ( ( ( X1 = X2
            & is_the(X1,X0) )
          | ~ sP0(X2,X0) )
        & ( sP0(X2,X0)
          | X1 != X2
          | ~ is_the(X1,X0) ) )
      | ~ sP1(X0,X2,X1) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0,X2,X1] :
      ( ( ( ( X1 = X2
            & is_the(X1,X0) )
          | ~ sP0(X2,X0) )
        & ( sP0(X2,X0)
          | X1 != X2
          | ~ is_the(X1,X0) ) )
      | ~ sP1(X0,X2,X1) ),
    inference(nnf_transformation,[],[f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 18:49:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.q5UUsJUoTS/Vampire---4.8_32760
% 0.60/0.78  % (680)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 (2995ds/34Mi)
% 0.60/0.78  % (684)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 (2995ds/34Mi)
% 0.60/0.78  % (685)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (682)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (683)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (681)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 (2995ds/51Mi)
% 0.60/0.78  % (686)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 (2995ds/83Mi)
% 0.60/0.78  % (687)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 (2995ds/56Mi)
% 0.60/0.78  % (683)Refutation not found, incomplete strategy% (683)------------------------------
% 0.60/0.78  % (683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (683)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (683)Memory used [KB]: 958
% 0.60/0.78  % (683)Time elapsed: 0.003 s
% 0.60/0.78  % (683)Instructions burned: 2 (million)
% 0.60/0.78  % (685)Refutation not found, incomplete strategy% (685)------------------------------
% 0.60/0.78  % (685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (685)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (685)Memory used [KB]: 1031
% 0.60/0.78  % (685)Time elapsed: 0.003 s
% 0.60/0.78  % (685)Instructions burned: 3 (million)
% 0.60/0.78  % (684)Refutation not found, incomplete strategy% (684)------------------------------
% 0.60/0.78  % (684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (684)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (684)Memory used [KB]: 1047
% 0.60/0.78  % (683)------------------------------
% 0.60/0.78  % (683)------------------------------
% 0.60/0.78  % (684)Time elapsed: 0.003 s
% 0.60/0.78  % (684)Instructions burned: 4 (million)
% 0.60/0.78  % (685)------------------------------
% 0.60/0.78  % (685)------------------------------
% 0.60/0.78  % (687)Refutation not found, incomplete strategy% (687)------------------------------
% 0.60/0.78  % (687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (684)------------------------------
% 0.60/0.78  % (684)------------------------------
% 0.60/0.78  % (687)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (687)Memory used [KB]: 954
% 0.60/0.78  % (687)Time elapsed: 0.002 s
% 0.60/0.78  % (687)Instructions burned: 2 (million)
% 0.60/0.78  % (687)------------------------------
% 0.60/0.78  % (687)------------------------------
% 0.60/0.78  % (680)Refutation not found, incomplete strategy% (680)------------------------------
% 0.60/0.78  % (680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (680)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (680)Memory used [KB]: 1069
% 0.60/0.78  % (680)Time elapsed: 0.006 s
% 0.60/0.78  % (680)Instructions burned: 8 (million)
% 0.60/0.78  % (680)------------------------------
% 0.60/0.78  % (680)------------------------------
% 0.60/0.79  % (689)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 Vampire---4 for (2995ds/50Mi)
% 0.60/0.79  % (690)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.79  % (688)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 Vampire---4 for (2995ds/55Mi)
% 0.60/0.79  % (691)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 Vampire---4 for (2995ds/52Mi)
% 0.60/0.79  % (690)Refutation not found, incomplete strategy% (690)------------------------------
% 0.60/0.79  % (690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (690)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (690)Memory used [KB]: 974
% 0.60/0.79  % (690)Time elapsed: 0.002 s
% 0.60/0.79  % (690)Instructions burned: 2 (million)
% 0.60/0.79  % (690)------------------------------
% 0.60/0.79  % (690)------------------------------
% 0.60/0.79  % (692)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 Vampire---4 for (2995ds/518Mi)
% 0.60/0.79  % (682)First to succeed.
% 0.60/0.79  % (692)Refutation not found, incomplete strategy% (692)------------------------------
% 0.60/0.79  % (692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (692)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  % (691)Also succeeded, but the first one will report.
% 0.60/0.79  
% 0.60/0.79  % (692)Memory used [KB]: 1058
% 0.60/0.79  % (692)Time elapsed: 0.003 s
% 0.60/0.79  % (692)Instructions burned: 4 (million)
% 0.60/0.79  % (693)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 Vampire---4 for (2995ds/42Mi)
% 0.60/0.79  % (692)------------------------------
% 0.60/0.79  % (692)------------------------------
% 0.60/0.79  % (682)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-560"
% 0.60/0.79  % (681)Also succeeded, but the first one will report.
% 0.60/0.79  % (682)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (682)------------------------------
% 0.60/0.79  % (682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (682)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (682)Memory used [KB]: 1184
% 0.60/0.79  % (682)Time elapsed: 0.012 s
% 0.60/0.79  % (682)Instructions burned: 15 (million)
% 0.60/0.79  % (560)Success in time 0.422 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------