TSTP Solution File: SEU107+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 Aug 31 18:26:41 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  108 (  24 unt;   0 def)
%            Number of atoms       :  334 (  19 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  364 ( 138   ~; 123   |;  80   &)
%                                         (  10 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   25 (  23 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :  141 ( 127   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f686,plain,
    $false,
    inference(avatar_sat_refutation,[],[f199,f201,f445,f551,f571,f578,f600,f675,f683]) ).

fof(f683,plain,
    ~ spl11_16,
    inference(avatar_contradiction_clause,[],[f680]) ).

fof(f680,plain,
    ( $false
    | ~ spl11_16 ),
    inference(resolution,[],[f587,f148]) ).

fof(f148,plain,
    ! [X0] : element(sK9(X0),X0),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] : element(sK9(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f7,f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ? [X1] : element(X1,X0)
     => element(sK9(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f7,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f587,plain,
    ( ! [X0] : ~ element(X0,sK10)
    | ~ spl11_16 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl11_16
  <=> ! [X0] : ~ element(X0,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).

fof(f675,plain,
    ( spl11_16
    | ~ spl11_19 ),
    inference(avatar_split_clause,[],[f656,f598,f586]) ).

fof(f598,plain,
    ( spl11_19
  <=> ! [X6,X7] :
        ( ~ element(X6,sK10)
        | ~ subset(X6,X7)
        | ~ element(X7,sK10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).

fof(f656,plain,
    ( ! [X0] : ~ element(X0,sK10)
    | ~ spl11_19 ),
    inference(duplicate_literal_removal,[],[f638]) ).

fof(f638,plain,
    ( ! [X0] :
        ( ~ element(X0,sK10)
        | ~ element(X0,sK10) )
    | ~ spl11_19 ),
    inference(resolution,[],[f599,f112]) ).

fof(f112,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X1] : subset(X1,X1),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X1,X0] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f599,plain,
    ( ! [X6,X7] :
        ( ~ subset(X6,X7)
        | ~ element(X7,sK10)
        | ~ element(X6,sK10) )
    | ~ spl11_19 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( spl11_19
    | ~ spl11_8
    | ~ spl11_15 ),
    inference(avatar_split_clause,[],[f583,f569,f324,f598]) ).

fof(f324,plain,
    ( spl11_8
  <=> empty(empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f569,plain,
    ( spl11_15
  <=> ! [X0,X1] :
        ( ~ empty(set_difference(X0,X1))
        | ~ element(X1,sK10)
        | ~ element(X0,sK10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).

fof(f583,plain,
    ( ! [X6,X7] :
        ( ~ empty(empty_set)
        | ~ element(X6,sK10)
        | ~ element(X7,sK10)
        | ~ subset(X6,X7) )
    | ~ spl11_15 ),
    inference(superposition,[],[f570,f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( empty_set = set_difference(X1,X0)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | empty_set != set_difference(X1,X0) )
      & ( empty_set = set_difference(X1,X0)
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        | set_difference(X0,X1) != empty_set )
      & ( set_difference(X0,X1) = empty_set
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> set_difference(X0,X1) = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).

fof(f570,plain,
    ( ! [X0,X1] :
        ( ~ empty(set_difference(X0,X1))
        | ~ element(X1,sK10)
        | ~ element(X0,sK10) )
    | ~ spl11_15 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f578,plain,
    ~ spl11_12,
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f572,plain,
    ( $false
    | ~ spl11_12 ),
    inference(resolution,[],[f550,f154]) ).

fof(f154,plain,
    ~ empty(sK10),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ~ empty(sK10)
    & ~ in(empty_set,sK10)
    & preboolean(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f72,f106]) ).

fof(f106,plain,
    ( ? [X0] :
        ( ~ empty(X0)
        & ~ in(empty_set,X0)
        & preboolean(X0) )
   => ( ~ empty(sK10)
      & ~ in(empty_set,sK10)
      & preboolean(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ? [X0] :
      ( ~ empty(X0)
      & ~ in(empty_set,X0)
      & preboolean(X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ? [X0] :
      ( ~ in(empty_set,X0)
      & preboolean(X0)
      & ~ empty(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ! [X0] :
        ( ( preboolean(X0)
          & ~ empty(X0) )
       => in(empty_set,X0) ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ! [X0] :
      ( ( preboolean(X0)
        & ~ empty(X0) )
     => in(empty_set,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_finsub_1) ).

fof(f550,plain,
    ( empty(sK10)
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl11_12
  <=> empty(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).

fof(f571,plain,
    ( ~ spl11_3
    | spl11_12
    | spl11_15
    | ~ spl11_11 ),
    inference(avatar_split_clause,[],[f567,f545,f569,f548,f192]) ).

fof(f192,plain,
    ( spl11_3
  <=> preboolean(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f545,plain,
    ( spl11_11
  <=> ! [X32,X33] :
        ( ~ empty(prebool_difference(sK10,X32,X33))
        | ~ element(X32,sK10)
        | ~ element(X33,sK10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).

fof(f567,plain,
    ( ! [X0,X1] :
        ( ~ empty(set_difference(X0,X1))
        | ~ element(X0,sK10)
        | ~ element(X1,sK10)
        | empty(sK10)
        | ~ preboolean(sK10) )
    | ~ spl11_11 ),
    inference(duplicate_literal_removal,[],[f566]) ).

fof(f566,plain,
    ( ! [X0,X1] :
        ( ~ empty(set_difference(X0,X1))
        | empty(sK10)
        | ~ element(X1,sK10)
        | ~ element(X1,sK10)
        | ~ element(X0,sK10)
        | ~ preboolean(sK10)
        | ~ element(X0,sK10) )
    | ~ spl11_11 ),
    inference(superposition,[],[f546,f129]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( set_difference(X1,X0) = prebool_difference(X2,X1,X0)
      | ~ preboolean(X2)
      | empty(X2)
      | ~ element(X1,X2)
      | ~ element(X0,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ~ element(X0,X2)
      | ~ preboolean(X2)
      | empty(X2)
      | set_difference(X1,X0) = prebool_difference(X2,X1,X0)
      | ~ element(X1,X2) ),
    inference(rectify,[],[f65]) ).

fof(f65,plain,
    ! [X1,X2,X0] :
      ( ~ element(X1,X0)
      | ~ preboolean(X0)
      | empty(X0)
      | set_difference(X2,X1) = prebool_difference(X0,X2,X1)
      | ~ element(X2,X0) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X2,X1] :
      ( set_difference(X2,X1) = prebool_difference(X0,X2,X1)
      | ~ element(X1,X0)
      | ~ element(X2,X0)
      | ~ preboolean(X0)
      | empty(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X2,X1] :
      ( ( element(X1,X0)
        & element(X2,X0)
        & preboolean(X0)
        & ~ empty(X0) )
     => set_difference(X2,X1) = prebool_difference(X0,X2,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X0,X2,X1] :
      ( ( ~ empty(X0)
        & element(X2,X0)
        & preboolean(X0)
        & element(X1,X0) )
     => prebool_difference(X0,X1,X2) = set_difference(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).

fof(f546,plain,
    ( ! [X32,X33] :
        ( ~ empty(prebool_difference(sK10,X32,X33))
        | ~ element(X33,sK10)
        | ~ element(X32,sK10) )
    | ~ spl11_11 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f551,plain,
    ( ~ spl11_3
    | spl11_11
    | spl11_12 ),
    inference(avatar_split_clause,[],[f541,f548,f545,f192]) ).

fof(f541,plain,
    ! [X32,X33] :
      ( empty(sK10)
      | ~ empty(prebool_difference(sK10,X32,X33))
      | ~ element(X33,sK10)
      | ~ element(X32,sK10)
      | ~ preboolean(sK10) ),
    inference(resolution,[],[f248,f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ in(X0,sK10)
      | ~ empty(X0) ),
    inference(superposition,[],[f153,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(f153,plain,
    ~ in(empty_set,sK10),
    inference(cnf_transformation,[],[f107]) ).

fof(f248,plain,
    ! [X2,X0,X1] :
      ( in(prebool_difference(X1,X0,X2),X1)
      | ~ preboolean(X1)
      | empty(X1)
      | ~ element(X0,X1)
      | ~ element(X2,X1) ),
    inference(duplicate_literal_removal,[],[f245]) ).

fof(f245,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,X1)
      | ~ element(X0,X1)
      | empty(X1)
      | empty(X1)
      | ~ preboolean(X1)
      | in(prebool_difference(X1,X0,X2),X1) ),
    inference(resolution,[],[f121,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X1,X0] :
      ( element(X0,X1)
     => ( empty(X1)
        | in(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( element(prebool_difference(X0,X2,X1),X0)
      | ~ element(X2,X0)
      | ~ preboolean(X0)
      | empty(X0)
      | ~ element(X1,X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,X0)
      | ~ preboolean(X0)
      | element(prebool_difference(X0,X2,X1),X0)
      | empty(X0)
      | ~ element(X1,X0) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X1,X2,X0] :
      ( ~ element(X0,X1)
      | ~ preboolean(X1)
      | element(prebool_difference(X1,X0,X2),X1)
      | empty(X1)
      | ~ element(X2,X1) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( element(prebool_difference(X1,X0,X2),X1)
      | ~ element(X0,X1)
      | ~ preboolean(X1)
      | empty(X1)
      | ~ element(X2,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( element(X0,X1)
        & preboolean(X1)
        & ~ empty(X1)
        & element(X2,X1) )
     => element(prebool_difference(X1,X0,X2),X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0,X2] :
      ( ( element(X1,X0)
        & ~ empty(X0)
        & element(X2,X0)
        & preboolean(X0) )
     => element(prebool_difference(X0,X1,X2),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_finsub_1) ).

fof(f445,plain,
    spl11_8,
    inference(avatar_split_clause,[],[f429,f324]) ).

fof(f429,plain,
    empty(empty_set),
    inference(superposition,[],[f119,f308]) ).

fof(f308,plain,
    empty_set = sK2(empty_set),
    inference(resolution,[],[f291,f205]) ).

fof(f205,plain,
    ! [X1] :
      ( ~ subset(X1,empty_set)
      | empty_set = X1 ),
    inference(superposition,[],[f109,f144]) ).

fof(f144,plain,
    ! [X0] : set_difference(X0,empty_set) = X0,
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] : set_difference(X0,empty_set) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).

fof(f291,plain,
    ! [X2] : subset(sK2(X2),X2),
    inference(resolution,[],[f146,f118]) ).

fof(f118,plain,
    ! [X0] : element(sK2(X0),powerset(X0)),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( empty(sK2(X0))
      & element(sK2(X0),powerset(X0))
      & finite(sK2(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f50,f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ? [X1] :
          ( empty(X1)
          & element(X1,powerset(X0))
          & finite(X1) )
     => ( empty(sK2(X0))
        & element(sK2(X0),powerset(X0))
        & finite(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0] :
    ? [X1] :
      ( empty(X1)
      & element(X1,powerset(X0))
      & finite(X1) ),
    inference(pure_predicate_removal,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
    ? [X1] :
      ( finite(X1)
      & element(X1,powerset(X0))
      & relation(X1)
      & empty(X1) ),
    inference(pure_predicate_removal,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
    ? [X1] :
      ( finite(X1)
      & element(X1,powerset(X0))
      & relation(X1)
      & function(X1)
      & empty(X1) ),
    inference(pure_predicate_removal,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
    ? [X1] :
      ( finite(X1)
      & element(X1,powerset(X0))
      & relation(X1)
      & function(X1)
      & empty(X1)
      & one_to_one(X1) ),
    inference(pure_predicate_removal,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
    ? [X1] :
      ( finite(X1)
      & element(X1,powerset(X0))
      & relation(X1)
      & function(X1)
      & empty(X1)
      & one_to_one(X1)
      & epsilon_transitive(X1) ),
    inference(pure_predicate_removal,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
    ? [X1] :
      ( epsilon_connected(X1)
      & finite(X1)
      & element(X1,powerset(X0))
      & relation(X1)
      & function(X1)
      & empty(X1)
      & one_to_one(X1)
      & epsilon_transitive(X1) ),
    inference(pure_predicate_removal,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
    ? [X1] :
      ( epsilon_connected(X1)
      & finite(X1)
      & ordinal(X1)
      & element(X1,powerset(X0))
      & relation(X1)
      & function(X1)
      & empty(X1)
      & one_to_one(X1)
      & epsilon_transitive(X1) ),
    inference(pure_predicate_removal,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
    ? [X1] :
      ( epsilon_connected(X1)
      & finite(X1)
      & ordinal(X1)
      & element(X1,powerset(X0))
      & relation(X1)
      & function(X1)
      & natural(X1)
      & empty(X1)
      & one_to_one(X1)
      & epsilon_transitive(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_finset_1) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(X1))
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ~ element(X0,powerset(X1)) )
      & ( element(X0,powerset(X1))
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> element(X0,powerset(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f119,plain,
    ! [X0] : empty(sK2(X0)),
    inference(cnf_transformation,[],[f85]) ).

fof(f201,plain,
    spl11_4,
    inference(avatar_contradiction_clause,[],[f200]) ).

fof(f200,plain,
    ( $false
    | spl11_4 ),
    inference(resolution,[],[f198,f165]) ).

fof(f165,plain,
    cup_closed(sK10),
    inference(resolution,[],[f151,f152]) ).

fof(f152,plain,
    preboolean(sK10),
    inference(cnf_transformation,[],[f107]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ preboolean(X0)
      | cup_closed(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ preboolean(X0)
      | ( cup_closed(X0)
        & diff_closed(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( preboolean(X0)
     => ( cup_closed(X0)
        & diff_closed(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finsub_1) ).

fof(f198,plain,
    ( ~ cup_closed(sK10)
    | spl11_4 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl11_4
  <=> cup_closed(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f199,plain,
    ( spl11_3
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f180,f196,f192]) ).

fof(f180,plain,
    ( ~ cup_closed(sK10)
    | preboolean(sK10) ),
    inference(resolution,[],[f136,f163]) ).

fof(f163,plain,
    diff_closed(sK10),
    inference(resolution,[],[f150,f152]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ preboolean(X0)
      | diff_closed(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ diff_closed(X0)
      | preboolean(X0)
      | ~ cup_closed(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ cup_closed(X0)
      | preboolean(X0)
      | ~ diff_closed(X0) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( preboolean(X0)
      | ~ cup_closed(X0)
      | ~ diff_closed(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( cup_closed(X0)
        & diff_closed(X0) )
     => preboolean(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finsub_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % 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 : n025.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:47:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (18168)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  % (18191)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51  % (18183)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (18191)Refutation not found, incomplete strategy% (18191)------------------------------
% 0.19/0.51  % (18191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18183)Instruction limit reached!
% 0.19/0.52  % (18183)------------------------------
% 0.19/0.52  % (18183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (18191)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (18191)Memory used [KB]: 1663
% 0.19/0.52  % (18191)Time elapsed: 0.121 s
% 0.19/0.52  % (18191)Instructions burned: 9 (million)
% 0.19/0.52  % (18191)------------------------------
% 0.19/0.52  % (18191)------------------------------
% 0.19/0.52  % (18175)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (18194)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)
% 0.19/0.52  % (18190)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52  % (18195)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (18169)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (18183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (18183)Termination reason: Unknown
% 0.19/0.52  % (18183)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (18183)Memory used [KB]: 6140
% 0.19/0.52  % (18183)Time elapsed: 0.120 s
% 0.19/0.52  % (18183)Instructions burned: 8 (million)
% 0.19/0.52  % (18183)------------------------------
% 0.19/0.52  % (18183)------------------------------
% 0.19/0.52  % (18182)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (18169)Refutation not found, incomplete strategy% (18169)------------------------------
% 0.19/0.52  % (18169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (18169)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (18169)Memory used [KB]: 6012
% 0.19/0.52  % (18169)Time elapsed: 0.125 s
% 0.19/0.52  % (18169)Instructions burned: 3 (million)
% 0.19/0.52  % (18169)------------------------------
% 0.19/0.52  % (18169)------------------------------
% 0.19/0.52  % (18171)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (18197)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)
% 0.19/0.52  % (18170)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)
% 0.19/0.52  % (18182)Instruction limit reached!
% 0.19/0.52  % (18182)------------------------------
% 0.19/0.52  % (18182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18172)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (18182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (18182)Termination reason: Unknown
% 0.19/0.52  % (18182)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (18182)Memory used [KB]: 6012
% 0.19/0.52  % (18182)Time elapsed: 0.004 s
% 0.19/0.52  % (18182)Instructions burned: 3 (million)
% 0.19/0.52  % (18182)------------------------------
% 0.19/0.52  % (18182)------------------------------
% 0.19/0.52  % (18171)Refutation not found, incomplete strategy% (18171)------------------------------
% 0.19/0.52  % (18171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (18171)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (18171)Memory used [KB]: 6012
% 0.19/0.52  % (18171)Time elapsed: 0.126 s
% 0.19/0.52  % (18171)Instructions burned: 2 (million)
% 0.19/0.52  % (18171)------------------------------
% 0.19/0.52  % (18171)------------------------------
% 0.19/0.52  % (18170)Instruction limit reached!
% 0.19/0.52  % (18170)------------------------------
% 0.19/0.52  % (18170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18173)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)
% 0.19/0.52  % (18184)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (18186)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (18174)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (18178)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)
% 0.19/0.53  % (18185)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (18170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (18170)Termination reason: Unknown
% 0.19/0.53  % (18170)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (18170)Memory used [KB]: 1535
% 0.19/0.53  % (18170)Time elapsed: 0.003 s
% 0.19/0.53  % (18170)Instructions burned: 3 (million)
% 0.19/0.53  % (18170)------------------------------
% 0.19/0.53  % (18170)------------------------------
% 0.19/0.53  % (18186)Instruction limit reached!
% 0.19/0.53  % (18186)------------------------------
% 0.19/0.53  % (18186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (18186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (18186)Termination reason: Unknown
% 0.19/0.53  % (18186)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (18186)Memory used [KB]: 5884
% 0.19/0.53  % (18186)Time elapsed: 0.003 s
% 0.19/0.53  % (18186)Instructions burned: 2 (million)
% 0.19/0.53  % (18186)------------------------------
% 0.19/0.53  % (18186)------------------------------
% 0.19/0.53  % (18176)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53  % (18178)Refutation not found, incomplete strategy% (18178)------------------------------
% 0.19/0.53  % (18178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (18177)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (18193)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53  % (18187)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53  % (18173)Instruction limit reached!
% 0.19/0.53  % (18173)------------------------------
% 0.19/0.53  % (18173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (18173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (18173)Termination reason: Unknown
% 0.19/0.53  % (18173)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (18173)Memory used [KB]: 1663
% 0.19/0.53  % (18173)Time elapsed: 0.130 s
% 0.19/0.53  % (18173)Instructions burned: 15 (million)
% 0.19/0.53  % (18173)------------------------------
% 0.19/0.53  % (18173)------------------------------
% 0.19/0.53  % (18185)Instruction limit reached!
% 0.19/0.53  % (18185)------------------------------
% 0.19/0.53  % (18185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (18179)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (18189)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)
% 0.19/0.53  % (18192)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (18178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (18178)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (18178)Memory used [KB]: 6012
% 0.19/0.53  % (18178)Time elapsed: 0.132 s
% 0.19/0.53  % (18178)Instructions burned: 2 (million)
% 0.19/0.53  % (18178)------------------------------
% 0.19/0.53  % (18178)------------------------------
% 0.19/0.54  % (18180)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)
% 0.19/0.54  % (18181)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (18180)Refutation not found, incomplete strategy% (18180)------------------------------
% 0.19/0.54  % (18180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (18180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (18180)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (18180)Memory used [KB]: 1535
% 0.19/0.54  % (18180)Time elapsed: 0.119 s
% 0.19/0.54  % (18180)Instructions burned: 3 (million)
% 0.19/0.54  % (18180)------------------------------
% 0.19/0.54  % (18180)------------------------------
% 0.19/0.54  % (18190)First to succeed.
% 0.19/0.54  % (18187)Instruction limit reached!
% 0.19/0.54  % (18187)------------------------------
% 0.19/0.54  % (18187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (18187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (18187)Termination reason: Unknown
% 0.19/0.54  % (18187)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (18187)Memory used [KB]: 6268
% 0.19/0.54  % (18187)Time elapsed: 0.144 s
% 0.19/0.54  % (18187)Instructions burned: 12 (million)
% 0.19/0.54  % (18187)------------------------------
% 0.19/0.54  % (18187)------------------------------
% 0.19/0.54  % (18196)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54  % (18179)Instruction limit reached!
% 0.19/0.54  % (18179)------------------------------
% 0.19/0.54  % (18179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (18179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (18179)Termination reason: Unknown
% 0.19/0.54  % (18179)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (18179)Memory used [KB]: 6140
% 0.19/0.54  % (18179)Time elapsed: 0.153 s
% 0.19/0.54  % (18179)Instructions burned: 8 (million)
% 0.19/0.54  % (18179)------------------------------
% 0.19/0.54  % (18179)------------------------------
% 0.19/0.54  % (18188)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.55  % (18172)Instruction limit reached!
% 0.19/0.55  % (18172)------------------------------
% 0.19/0.55  % (18172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (18172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (18172)Termination reason: Unknown
% 0.19/0.55  % (18172)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (18172)Memory used [KB]: 6140
% 0.19/0.55  % (18172)Time elapsed: 0.135 s
% 0.19/0.55  % (18172)Instructions burned: 13 (million)
% 0.19/0.55  % (18172)------------------------------
% 0.19/0.55  % (18172)------------------------------
% 0.19/0.55  % (18185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (18185)Termination reason: Unknown
% 0.19/0.55  % (18185)Termination phase: Finite model building preprocessing
% 0.19/0.55  
% 0.19/0.55  % (18185)Memory used [KB]: 6012
% 0.19/0.55  % (18185)Time elapsed: 0.004 s
% 0.19/0.55  % (18185)Instructions burned: 4 (million)
% 0.19/0.55  % (18185)------------------------------
% 0.19/0.55  % (18185)------------------------------
% 0.19/0.55  % (18196)Refutation not found, incomplete strategy% (18196)------------------------------
% 0.19/0.55  % (18196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (18196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (18196)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (18196)Memory used [KB]: 6012
% 0.19/0.55  % (18196)Time elapsed: 0.130 s
% 0.19/0.55  % (18196)Instructions burned: 3 (million)
% 0.19/0.55  % (18196)------------------------------
% 0.19/0.55  % (18196)------------------------------
% 0.19/0.56  % (18195)Also succeeded, but the first one will report.
% 0.19/0.56  % (18190)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Theorem for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (18190)------------------------------
% 0.19/0.56  % (18190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (18190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (18190)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (18190)Memory used [KB]: 6268
% 0.19/0.56  % (18190)Time elapsed: 0.105 s
% 0.19/0.56  % (18190)Instructions burned: 11 (million)
% 0.19/0.56  % (18190)------------------------------
% 0.19/0.56  % (18190)------------------------------
% 0.19/0.56  % (18167)Success in time 0.207 s
%------------------------------------------------------------------------------