TSTP Solution File: SET155+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET155+4 : TPTP v8.1.2. Released v2.2.0.
% 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 : 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 : Wed May  1 03:45:27 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   86 (   2 unt;   0 def)
%            Number of atoms       :  247 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  249 (  88   ~; 100   |;  39   &)
%                                         (  15 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  115 ( 103   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f119,plain,
    $false,
    inference(avatar_sat_refutation,[],[f63,f77,f83,f89,f103,f111,f118]) ).

fof(f118,plain,
    ( spl4_2
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f117]) ).

fof(f117,plain,
    ( $false
    | spl4_2
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f116,f113]) ).

fof(f113,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK1)
    | spl4_2
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f112,f108]) ).

fof(f108,plain,
    ( ~ member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK0)
    | spl4_2 ),
    inference(resolution,[],[f104,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,difference(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,difference(X2,X1))
        | member(X0,X1)
        | ~ member(X0,X2) )
      & ( ( ~ member(X0,X1)
          & member(X0,X2) )
        | ~ member(X0,difference(X2,X1)) ) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,difference(X2,X1))
        | member(X0,X1)
        | ~ member(X0,X2) )
      & ( ( ~ member(X0,X1)
          & member(X0,X2) )
        | ~ member(X0,difference(X2,X1)) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( member(X0,difference(X2,X1))
    <=> ( ~ member(X0,X1)
        & member(X0,X2) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0,X3] :
      ( member(X1,difference(X3,X0))
    <=> ( ~ member(X1,X0)
        & member(X1,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jXDSjQnFsl/Vampire---4.8_24509',difference) ).

fof(f104,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),difference(sK2,sK0))
    | spl4_2 ),
    inference(resolution,[],[f91,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,intersection(X1,X2))
        | ~ member(X0,X2)
        | ~ member(X0,X1) )
      & ( ( member(X0,X2)
          & member(X0,X1) )
        | ~ member(X0,intersection(X1,X2)) ) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,intersection(X1,X2))
        | ~ member(X0,X2)
        | ~ member(X0,X1) )
      & ( ( member(X0,X2)
          & member(X0,X1) )
        | ~ member(X0,intersection(X1,X2)) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( member(X0,intersection(X1,X2))
    <=> ( member(X0,X2)
        & member(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jXDSjQnFsl/Vampire---4.8_24509',intersection) ).

fof(f91,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),intersection(difference(sK2,sK0),difference(sK2,sK1)))
    | spl4_2 ),
    inference(resolution,[],[f62,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK3(X0,X1),X1)
          & member(sK3(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f27,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK3(X0,X1),X1)
        & member(sK3(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jXDSjQnFsl/Vampire---4.8_24509',subset) ).

fof(f62,plain,
    ( ~ subset(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1)))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl4_2
  <=> subset(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f112,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK0)
    | member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK1)
    | ~ spl4_6 ),
    inference(resolution,[],[f102,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X1,X2))
      | member(X0,X1)
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( member(X0,union(X1,X2))
    <=> ( member(X0,X2)
        | member(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jXDSjQnFsl/Vampire---4.8_24509',union) ).

fof(f102,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),union(sK0,sK1))
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl4_6
  <=> member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),union(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f116,plain,
    ( ~ member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK1)
    | spl4_2 ),
    inference(resolution,[],[f105,f50]) ).

fof(f105,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),difference(sK2,sK1))
    | spl4_2 ),
    inference(resolution,[],[f91,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f111,plain,
    ( spl4_5
    | spl4_2 ),
    inference(avatar_split_clause,[],[f107,f60,f96]) ).

fof(f96,plain,
    ( spl4_5
  <=> member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f107,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK2)
    | spl4_2 ),
    inference(resolution,[],[f104,f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,difference(X2,X1))
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f103,plain,
    ( ~ spl4_5
    | spl4_6
    | spl4_2 ),
    inference(avatar_split_clause,[],[f94,f60,f100,f96]) ).

fof(f94,plain,
    ( member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),union(sK0,sK1))
    | ~ member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),sK2)
    | spl4_2 ),
    inference(resolution,[],[f92,f51]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( member(X0,difference(X2,X1))
      | member(X0,X1)
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f92,plain,
    ( ~ member(sK3(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1))),difference(sK2,union(sK0,sK1)))
    | spl4_2 ),
    inference(resolution,[],[f62,f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f89,plain,
    ( spl4_1
    | spl4_4 ),
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | spl4_1
    | spl4_4 ),
    inference(subsumption_resolution,[],[f87,f66]) ).

fof(f66,plain,
    ( member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK2)
    | spl4_1 ),
    inference(resolution,[],[f64,f49]) ).

fof(f64,plain,
    ( member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,union(sK0,sK1)))
    | spl4_1 ),
    inference(resolution,[],[f58,f40]) ).

fof(f58,plain,
    ( ~ subset(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1)))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl4_1
  <=> subset(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f87,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK2)
    | spl4_1
    | spl4_4 ),
    inference(subsumption_resolution,[],[f86,f79]) ).

fof(f79,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK1)
    | spl4_1 ),
    inference(resolution,[],[f67,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f67,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),union(sK0,sK1))
    | spl4_1 ),
    inference(resolution,[],[f64,f50]) ).

fof(f86,plain,
    ( member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK1)
    | ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK2)
    | spl4_4 ),
    inference(resolution,[],[f76,f51]) ).

fof(f76,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK1))
    | spl4_4 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl4_4
  <=> member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f83,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_contradiction_clause,[],[f82]) ).

fof(f82,plain,
    ( $false
    | spl4_1
    | spl4_3 ),
    inference(subsumption_resolution,[],[f81,f66]) ).

fof(f81,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK2)
    | spl4_1
    | spl4_3 ),
    inference(subsumption_resolution,[],[f80,f78]) ).

fof(f78,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK0)
    | spl4_1 ),
    inference(resolution,[],[f67,f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f80,plain,
    ( member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK0)
    | ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),sK2)
    | spl4_3 ),
    inference(resolution,[],[f72,f51]) ).

fof(f72,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK0))
    | spl4_3 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl4_3
  <=> member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f77,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | spl4_1 ),
    inference(avatar_split_clause,[],[f68,f56,f74,f70]) ).

fof(f68,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK1))
    | ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK0))
    | spl4_1 ),
    inference(resolution,[],[f65,f44]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f65,plain,
    ( ~ member(sK3(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),intersection(difference(sK2,sK0),difference(sK2,sK1)))
    | spl4_1 ),
    inference(resolution,[],[f58,f41]) ).

fof(f63,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f54,f60,f56]) ).

fof(f54,plain,
    ( ~ subset(intersection(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,union(sK0,sK1)))
    | ~ subset(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))) ),
    inference(resolution,[],[f38,f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
     => equal_set(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jXDSjQnFsl/Vampire---4.8_24509',equal_set) ).

fof(f38,plain,
    ~ equal_set(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1))),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ~ equal_set(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1)))
    & subset(sK1,sK2)
    & subset(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f20,f24]) ).

fof(f24,plain,
    ( ? [X0,X1,X2] :
        ( ~ equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1)))
        & subset(X1,X2)
        & subset(X0,X2) )
   => ( ~ equal_set(difference(sK2,union(sK0,sK1)),intersection(difference(sK2,sK0),difference(sK2,sK1)))
      & subset(sK1,sK2)
      & subset(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0,X1,X2] :
      ( ~ equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1)))
      & subset(X1,X2)
      & subset(X0,X2) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( ~ equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1)))
      & subset(X1,X2)
      & subset(X0,X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X0,X1,X2] :
        ( ( subset(X1,X2)
          & subset(X0,X2) )
       => equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1))) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X3] :
        ( ( subset(X1,X3)
          & subset(X0,X3) )
       => equal_set(difference(X3,union(X0,X1)),intersection(difference(X3,X0),difference(X3,X1))) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X1,X3] :
      ( ( subset(X1,X3)
        & subset(X0,X3) )
     => equal_set(difference(X3,union(X0,X1)),intersection(difference(X3,X0),difference(X3,X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.jXDSjQnFsl/Vampire---4.8_24509',thI26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET155+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11  % 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
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 17:35:41 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31  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.jXDSjQnFsl/Vampire---4.8_24509
% 0.62/0.80  % (24627)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)
% 0.62/0.80  % (24625)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)
% 0.62/0.80  % (24622)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)
% 0.62/0.80  % (24623)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)
% 0.62/0.80  % (24624)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (24629)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)
% 0.62/0.80  % (24628)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)
% 0.62/0.80  % (24626)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)
% 0.62/0.80  % (24627)Refutation not found, incomplete strategy% (24627)------------------------------
% 0.62/0.80  % (24627)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (24627)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (24627)Memory used [KB]: 967
% 0.62/0.80  % (24627)Time elapsed: 0.003 s
% 0.62/0.80  % (24627)Instructions burned: 2 (million)
% 0.62/0.80  % (24627)------------------------------
% 0.62/0.80  % (24627)------------------------------
% 0.62/0.80  % (24629)First to succeed.
% 0.62/0.80  % (24626)Refutation not found, incomplete strategy% (24626)------------------------------
% 0.62/0.80  % (24626)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (24626)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (24626)Memory used [KB]: 1038
% 0.62/0.80  % (24626)Time elapsed: 0.003 s
% 0.62/0.80  % (24626)Instructions burned: 3 (million)
% 0.62/0.80  % (24626)------------------------------
% 0.62/0.80  % (24626)------------------------------
% 0.62/0.80  % (24629)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (24629)------------------------------
% 0.62/0.80  % (24629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (24629)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (24629)Memory used [KB]: 1070
% 0.62/0.80  % (24629)Time elapsed: 0.005 s
% 0.62/0.80  % (24629)Instructions burned: 7 (million)
% 0.62/0.80  % (24629)------------------------------
% 0.62/0.80  % (24629)------------------------------
% 0.62/0.80  % (24620)Success in time 0.485 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------