TSTP Solution File: PHI013+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:08:16 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   88 (  13 unt;   0 def)
%            Number of atoms       :  352 (  17 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  439 ( 175   ~; 165   |;  69   &)
%                                         (   8 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :  110 (  88   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(avatar_sat_refutation,[],[f78,f81,f90,f123,f150,f158]) ).

fof(f158,plain,
    ~ spl6_8,
    inference(avatar_contradiction_clause,[],[f155]) ).

fof(f155,plain,
    ( $false
    | ~ spl6_8 ),
    inference(resolution,[],[f122,f64]) ).

fof(f64,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(f122,plain,
    ( ! [X1] : ~ is_the(X1,none_greater)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl6_8
  <=> ! [X1] : ~ is_the(X1,none_greater) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f150,plain,
    ( ~ spl6_1
    | ~ spl6_7 ),
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f149,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f148,f127]) ).

fof(f127,plain,
    ( object(god)
    | ~ spl6_1
    | ~ spl6_7 ),
    inference(backward_demodulation,[],[f74,f124]) ).

fof(f124,plain,
    ( god = sK3
    | ~ spl6_7 ),
    inference(resolution,[],[f119,f64]) ).

fof(f119,plain,
    ( ! [X2] :
        ( ~ is_the(X2,none_greater)
        | sK3 = X2 )
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl6_7
  <=> ! [X2] :
        ( sK3 = X2
        | ~ is_the(X2,none_greater) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f74,plain,
    ( object(sK3)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl6_1
  <=> object(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f148,plain,
    ~ object(god),
    inference(subsumption_resolution,[],[f147,f64]) ).

fof(f147,plain,
    ( ~ is_the(god,none_greater)
    | ~ object(god) ),
    inference(subsumption_resolution,[],[f142,f55]) ).

fof(f55,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(f142,plain,
    ( exemplifies_property(existence,god)
    | ~ object(god)
    | ~ is_the(god,none_greater) ),
    inference(resolution,[],[f141,f61]) ).

fof(f61,plain,
    ! [X0] :
      ( exemplifies_property(conceivable,sK5(X0))
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( exemplifies_property(existence,X0)
      | ( object(sK5(X0))
        & exemplifies_relation(greater_than,sK5(X0),X0)
        & exemplifies_property(conceivable,sK5(X0)) )
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f26,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X1] :
          ( object(X1)
          & exemplifies_relation(greater_than,X1,X0)
          & exemplifies_property(conceivable,X1) )
     => ( object(sK5(X0))
        & exemplifies_relation(greater_than,sK5(X0),X0)
        & exemplifies_property(conceivable,sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ! [X0] :
      ( exemplifies_property(existence,X0)
      | ? [X1] :
          ( object(X1)
          & exemplifies_relation(greater_than,X1,X0)
          & exemplifies_property(conceivable,X1) )
      | ~ is_the(X0,none_greater)
      | ~ object(X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ? [X1] :
          ( object(X1)
          & exemplifies_relation(greater_than,X1,X0)
          & exemplifies_property(conceivable,X1) )
      | ~ is_the(X0,none_greater)
      | exemplifies_property(existence,X0)
      | ~ object(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( object(X0)
     => ( ( is_the(X0,none_greater)
          & ~ exemplifies_property(existence,X0) )
       => ? [X1] :
            ( object(X1)
            & exemplifies_relation(greater_than,X1,X0)
            & exemplifies_property(conceivable,X1) ) ) ),
    inference(rectify,[],[f7]) ).

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

fof(f141,plain,
    ~ exemplifies_property(conceivable,sK5(god)),
    inference(subsumption_resolution,[],[f140,f64]) ).

fof(f140,plain,
    ( ~ is_the(god,none_greater)
    | ~ exemplifies_property(conceivable,sK5(god)) ),
    inference(resolution,[],[f108,f55]) ).

fof(f108,plain,
    ! [X0] :
      ( exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater)
      | ~ exemplifies_property(conceivable,sK5(X0)) ),
    inference(subsumption_resolution,[],[f107,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( object(sK5(X0))
      | ~ is_the(X0,none_greater)
      | exemplifies_property(existence,X0) ),
    inference(subsumption_resolution,[],[f63,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( object(X0)
      | ~ is_the(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( object(X0)
        & property(X1) )
      | ~ is_the(X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ( object(X1)
        & property(X0) )
      | ~ is_the(X1,X0) ),
    inference(ennf_transformation,[],[f16]) ).

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

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

fof(f63,plain,
    ! [X0] :
      ( object(sK5(X0))
      | exemplifies_property(existence,X0)
      | ~ object(X0)
      | ~ is_the(X0,none_greater) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ object(sK5(X0))
      | ~ is_the(X0,none_greater)
      | exemplifies_property(existence,X0)
      | ~ exemplifies_property(conceivable,sK5(X0)) ),
    inference(subsumption_resolution,[],[f106,f66]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ is_the(X0,none_greater)
      | ~ exemplifies_property(conceivable,sK5(X0))
      | ~ object(X0)
      | ~ object(sK5(X0))
      | exemplifies_property(existence,X0) ),
    inference(subsumption_resolution,[],[f103,f68]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( exemplifies_property(X0,X1)
      | ~ object(X2)
      | ~ is_the(X2,X0)
      | ~ is_the(X1,X0)
      | ~ object(X1) ),
    inference(subsumption_resolution,[],[f67,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( property(X1)
      | ~ is_the(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ~ property(X0)
      | ~ is_the(X1,X0)
      | exemplifies_property(X0,X1)
      | ~ object(X1)
      | ~ is_the(X2,X0)
      | ~ object(X2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( exemplifies_property(X0,X1)
          | ~ object(X1)
          | ~ is_the(X1,X0) )
      | ! [X2] :
          ( ~ object(X2)
          | ~ is_the(X2,X0) )
      | ~ property(X0) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ! [X2] :
          ( exemplifies_property(X0,X2)
          | ~ object(X2)
          | ~ is_the(X2,X0) )
      | ! [X1] :
          ( ~ object(X1)
          | ~ is_the(X1,X0) )
      | ~ property(X0) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ! [X2] :
          ( exemplifies_property(X0,X2)
          | ~ is_the(X2,X0)
          | ~ object(X2) )
      | ! [X1] :
          ( ~ object(X1)
          | ~ is_the(X1,X0) )
      | ~ property(X0) ),
    inference(ennf_transformation,[],[f2]) ).

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

fof(f103,plain,
    ! [X0] :
      ( exemplifies_property(existence,X0)
      | ~ exemplifies_property(none_greater,X0)
      | ~ object(sK5(X0))
      | ~ is_the(X0,none_greater)
      | ~ exemplifies_property(conceivable,sK5(X0))
      | ~ object(X0) ),
    inference(resolution,[],[f53,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( exemplifies_relation(greater_than,sK5(X0),X0)
      | exemplifies_property(existence,X0)
      | ~ is_the(X0,none_greater) ),
    inference(subsumption_resolution,[],[f62,f66]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ is_the(X0,none_greater)
      | exemplifies_relation(greater_than,sK5(X0),X0)
      | ~ object(X0)
      | exemplifies_property(existence,X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ exemplifies_relation(greater_than,X1,X0)
      | ~ exemplifies_property(none_greater,X0)
      | ~ object(X1)
      | ~ exemplifies_property(conceivable,X1)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ object(X0)
      | ( ( ( exemplifies_property(conceivable,X0)
            & ! [X1] :
                ( ~ exemplifies_property(conceivable,X1)
                | ~ exemplifies_relation(greater_than,X1,X0)
                | ~ object(X1) ) )
          | ~ exemplifies_property(none_greater,X0) )
        & ( exemplifies_property(none_greater,X0)
          | ~ exemplifies_property(conceivable,X0)
          | ( exemplifies_property(conceivable,sK2(X0))
            & exemplifies_relation(greater_than,sK2(X0),X0)
            & object(sK2(X0)) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f33,f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ? [X2] :
          ( exemplifies_property(conceivable,X2)
          & exemplifies_relation(greater_than,X2,X0)
          & object(X2) )
     => ( exemplifies_property(conceivable,sK2(X0))
        & exemplifies_relation(greater_than,sK2(X0),X0)
        & object(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ object(X0)
      | ( ( ( exemplifies_property(conceivable,X0)
            & ! [X1] :
                ( ~ exemplifies_property(conceivable,X1)
                | ~ exemplifies_relation(greater_than,X1,X0)
                | ~ object(X1) ) )
          | ~ exemplifies_property(none_greater,X0) )
        & ( exemplifies_property(none_greater,X0)
          | ~ exemplifies_property(conceivable,X0)
          | ? [X2] :
              ( exemplifies_property(conceivable,X2)
              & exemplifies_relation(greater_than,X2,X0)
              & object(X2) ) ) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ object(X0)
      | ( ( ( exemplifies_property(conceivable,X0)
            & ! [X1] :
                ( ~ exemplifies_property(conceivable,X1)
                | ~ exemplifies_relation(greater_than,X1,X0)
                | ~ object(X1) ) )
          | ~ exemplifies_property(none_greater,X0) )
        & ( exemplifies_property(none_greater,X0)
          | ~ exemplifies_property(conceivable,X0)
          | ? [X1] :
              ( exemplifies_property(conceivable,X1)
              & exemplifies_relation(greater_than,X1,X0)
              & object(X1) ) ) ) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ object(X0)
      | ( ( ( exemplifies_property(conceivable,X0)
            & ! [X1] :
                ( ~ exemplifies_property(conceivable,X1)
                | ~ exemplifies_relation(greater_than,X1,X0)
                | ~ object(X1) ) )
          | ~ exemplifies_property(none_greater,X0) )
        & ( exemplifies_property(none_greater,X0)
          | ~ exemplifies_property(conceivable,X0)
          | ? [X1] :
              ( exemplifies_property(conceivable,X1)
              & exemplifies_relation(greater_than,X1,X0)
              & object(X1) ) ) ) ),
    inference(nnf_transformation,[],[f21]) ).

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

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

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

fof(f123,plain,
    ( spl6_7
    | spl6_8
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f100,f88,f121,f118]) ).

fof(f88,plain,
    ( spl6_4
  <=> ! [X2] :
        ( ~ object(X2)
        | sK3 = X2
        | ~ exemplifies_property(none_greater,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f100,plain,
    ( ! [X2,X1] :
        ( ~ is_the(X1,none_greater)
        | sK3 = X2
        | ~ is_the(X2,none_greater) )
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f99,f66]) ).

fof(f99,plain,
    ( ! [X2,X1] :
        ( ~ is_the(X1,none_greater)
        | ~ is_the(X2,none_greater)
        | ~ object(X1)
        | sK3 = X2 )
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f98,f66]) ).

fof(f98,plain,
    ( ! [X2,X1] :
        ( ~ is_the(X2,none_greater)
        | ~ object(X2)
        | ~ object(X1)
        | ~ is_the(X1,none_greater)
        | sK3 = X2 )
    | ~ spl6_4 ),
    inference(duplicate_literal_removal,[],[f97]) ).

fof(f97,plain,
    ( ! [X2,X1] :
        ( ~ object(X1)
        | ~ is_the(X1,none_greater)
        | ~ object(X2)
        | ~ is_the(X2,none_greater)
        | sK3 = X2
        | ~ object(X2) )
    | ~ spl6_4 ),
    inference(resolution,[],[f68,f89]) ).

fof(f89,plain,
    ( ! [X2] :
        ( ~ exemplifies_property(none_greater,X2)
        | sK3 = X2
        | ~ object(X2) )
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f90,plain,
    ( spl6_4
    | spl6_2 ),
    inference(avatar_split_clause,[],[f56,f76,f88]) ).

fof(f76,plain,
    ( spl6_2
  <=> ! [X0] :
        ( ~ exemplifies_property(none_greater,X0)
        | ~ object(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f56,plain,
    ! [X2,X0] :
      ( ~ object(X0)
      | ~ object(X2)
      | ~ exemplifies_property(none_greater,X2)
      | sK3 = X2
      | ~ exemplifies_property(none_greater,X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ! [X0] :
        ( ~ exemplifies_property(none_greater,X0)
        | ~ object(X0) )
    | ( exemplifies_property(none_greater,sK3)
      & object(sK3)
      & ! [X2] :
          ( sK3 = X2
          | ~ object(X2)
          | ~ exemplifies_property(none_greater,X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f18,f36]) ).

fof(f36,plain,
    ( ? [X1] :
        ( exemplifies_property(none_greater,X1)
        & object(X1)
        & ! [X2] :
            ( X1 = X2
            | ~ object(X2)
            | ~ exemplifies_property(none_greater,X2) ) )
   => ( exemplifies_property(none_greater,sK3)
      & object(sK3)
      & ! [X2] :
          ( sK3 = X2
          | ~ object(X2)
          | ~ exemplifies_property(none_greater,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ( ! [X0] :
        ( ~ exemplifies_property(none_greater,X0)
        | ~ object(X0) )
    | ? [X1] :
        ( exemplifies_property(none_greater,X1)
        & object(X1)
        & ! [X2] :
            ( X1 = X2
            | ~ object(X2)
            | ~ exemplifies_property(none_greater,X2) ) ) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ( ? [X1] :
        ( object(X1)
        & exemplifies_property(none_greater,X1)
        & ! [X2] :
            ( X1 = X2
            | ~ exemplifies_property(none_greater,X2)
            | ~ object(X2) ) )
    | ! [X0] :
        ( ~ exemplifies_property(none_greater,X0)
        | ~ object(X0) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ? [X0] :
        ( object(X0)
        & exemplifies_property(none_greater,X0) )
   => ? [X1] :
        ( object(X1)
        & exemplifies_property(none_greater,X1)
        & ! [X2] :
            ( object(X2)
           => ( exemplifies_property(none_greater,X2)
             => X1 = X2 ) ) ) ),
    inference(rectify,[],[f6]) ).

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

fof(f81,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f80]) ).

fof(f80,plain,
    ( $false
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f79,f60]) ).

fof(f60,plain,
    object(sK4),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( object(sK4)
    & exemplifies_property(none_greater,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f12,f38]) ).

fof(f38,plain,
    ( ? [X0] :
        ( object(X0)
        & exemplifies_property(none_greater,X0) )
   => ( object(sK4)
      & exemplifies_property(none_greater,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ? [X0] :
      ( object(X0)
      & exemplifies_property(none_greater,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(f79,plain,
    ( ~ object(sK4)
    | ~ spl6_2 ),
    inference(resolution,[],[f77,f59]) ).

fof(f59,plain,
    exemplifies_property(none_greater,sK4),
    inference(cnf_transformation,[],[f39]) ).

fof(f77,plain,
    ( ! [X0] :
        ( ~ exemplifies_property(none_greater,X0)
        | ~ object(X0) )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f78,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f57,f76,f72]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ exemplifies_property(none_greater,X0)
      | object(sK3)
      | ~ object(X0) ),
    inference(cnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 09:58:41 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (16415)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49  % (16439)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.50  % (16436)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (16410)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (16415)Refutation not found, incomplete strategy% (16415)------------------------------
% 0.19/0.50  % (16415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16420)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50  % (16415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16415)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (16415)Memory used [KB]: 1407
% 0.19/0.50  % (16415)Time elapsed: 0.104 s
% 0.19/0.50  % (16415)Instructions burned: 2 (million)
% 0.19/0.50  % (16415)------------------------------
% 0.19/0.50  % (16415)------------------------------
% 0.19/0.50  % (16431)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (16420)Refutation not found, incomplete strategy% (16420)------------------------------
% 0.19/0.50  % (16420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16420)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (16420)Memory used [KB]: 5884
% 0.19/0.50  % (16420)Time elapsed: 0.108 s
% 0.19/0.50  % (16420)Instructions burned: 3 (million)
% 0.19/0.50  % (16420)------------------------------
% 0.19/0.50  % (16420)------------------------------
% 0.19/0.50  % (16422)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50  % (16422)Refutation not found, incomplete strategy% (16422)------------------------------
% 0.19/0.50  % (16422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16422)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (16422)Memory used [KB]: 1407
% 0.19/0.50  % (16422)Time elapsed: 0.101 s
% 0.19/0.50  % (16422)Instructions burned: 2 (million)
% 0.19/0.50  % (16422)------------------------------
% 0.19/0.50  % (16422)------------------------------
% 0.19/0.50  % (16427)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  % (16427)Instruction limit reached!
% 0.19/0.50  % (16427)------------------------------
% 0.19/0.50  % (16427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16427)Termination reason: Unknown
% 0.19/0.50  % (16427)Termination phase: Finite model building constraint generation
% 0.19/0.50  
% 0.19/0.50  % (16427)Memory used [KB]: 6012
% 0.19/0.50  % (16427)Time elapsed: 0.116 s
% 0.19/0.50  % (16427)Instructions burned: 4 (million)
% 0.19/0.50  % (16427)------------------------------
% 0.19/0.50  % (16427)------------------------------
% 0.19/0.51  % (16436)Refutation not found, incomplete strategy% (16436)------------------------------
% 0.19/0.51  % (16436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16436)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (16436)Memory used [KB]: 6012
% 0.19/0.51  % (16436)Time elapsed: 0.117 s
% 0.19/0.51  % (16436)Instructions burned: 3 (million)
% 0.19/0.51  % (16436)------------------------------
% 0.19/0.51  % (16436)------------------------------
% 0.19/0.51  % (16431)Refutation not found, incomplete strategy% (16431)------------------------------
% 0.19/0.51  % (16431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16431)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (16431)Memory used [KB]: 6012
% 0.19/0.51  % (16431)Time elapsed: 0.113 s
% 0.19/0.51  % (16431)Instructions burned: 3 (million)
% 0.19/0.51  % (16431)------------------------------
% 0.19/0.51  % (16431)------------------------------
% 0.19/0.51  % (16439)First to succeed.
% 0.19/0.51  % (16412)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (16439)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (16439)------------------------------
% 0.19/0.51  % (16439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16439)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (16439)Memory used [KB]: 6012
% 0.19/0.51  % (16439)Time elapsed: 0.117 s
% 0.19/0.51  % (16439)Instructions burned: 4 (million)
% 0.19/0.51  % (16439)------------------------------
% 0.19/0.51  % (16439)------------------------------
% 0.19/0.51  % (16409)Success in time 0.169 s
%------------------------------------------------------------------------------