TSTP Solution File: SEU320+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 15:28:50 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   96 (  22 unt;   0 def)
%            Number of atoms       :  269 (  17 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  288 ( 115   ~; 114   |;  22   &)
%                                         (  23 <=>;  13  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   25 (  23 usr;  19 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   94 (  80   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f150,plain,
    $false,
    inference(avatar_sat_refutation,[],[f51,f56,f61,f70,f74,f78,f82,f86,f90,f98,f102,f109,f116,f121,f128,f137,f143,f144,f145,f149]) ).

fof(f149,plain,
    ( ~ spl4_1
    | ~ spl4_17
    | spl4_5
    | ~ spl4_4
    | ~ spl4_12
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f110,f106,f100,f63,f67,f134,f48]) ).

fof(f48,plain,
    ( spl4_1
  <=> top_str(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f134,plain,
    ( spl4_17
  <=> element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f67,plain,
    ( spl4_5
  <=> closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f63,plain,
    ( spl4_4
  <=> open_subset(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f100,plain,
    ( spl4_12
  <=> ! [X0,X1] :
        ( closed_subset(X1,X0)
        | ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
        | ~ element(X1,powerset(the_carrier(X0)))
        | ~ top_str(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f106,plain,
    ( spl4_13
  <=> sK1 = subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f110,plain,
    ( ~ open_subset(sK1,sK0)
    | closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
    | ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
    | ~ top_str(sK0)
    | ~ spl4_12
    | ~ spl4_13 ),
    inference(superposition,[],[f101,f108]) ).

fof(f108,plain,
    ( sK1 = subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1))
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f101,plain,
    ( ! [X0,X1] :
        ( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
        | closed_subset(X1,X0)
        | ~ element(X1,powerset(the_carrier(X0)))
        | ~ top_str(X0) )
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f145,plain,
    ( ~ spl4_4
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f38,f67,f63]) ).

fof(f38,plain,
    ( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
    | ~ open_subset(sK1,sK0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
      | ~ open_subset(sK1,sK0) )
    & ( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
      | open_subset(sK1,sK0) )
    & element(sK1,powerset(the_carrier(sK0)))
    & top_str(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f28,f27]) ).

fof(f27,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
              | ~ open_subset(X1,X0) )
            & ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
              | open_subset(X1,X0) )
            & element(X1,powerset(the_carrier(X0))) )
        & top_str(X0) )
   => ( ? [X1] :
          ( ( ~ closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
            | ~ open_subset(X1,sK0) )
          & ( closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
            | open_subset(X1,sK0) )
          & element(X1,powerset(the_carrier(sK0))) )
      & top_str(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ( ? [X1] :
        ( ( ~ closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
          | ~ open_subset(X1,sK0) )
        & ( closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
          | open_subset(X1,sK0) )
        & element(X1,powerset(the_carrier(sK0))) )
   => ( ( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
        | ~ open_subset(sK1,sK0) )
      & ( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
        | open_subset(sK1,sK0) )
      & element(sK1,powerset(the_carrier(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
            | ~ open_subset(X1,X0) )
          & ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
            | open_subset(X1,X0) )
          & element(X1,powerset(the_carrier(X0))) )
      & top_str(X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
            | ~ open_subset(X1,X0) )
          & ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
            | open_subset(X1,X0) )
          & element(X1,powerset(the_carrier(X0))) )
      & top_str(X0) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( open_subset(X1,X0)
          <~> closed_subset(subset_complement(the_carrier(X0),X1),X0) )
          & element(X1,powerset(the_carrier(X0))) )
      & top_str(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X0] :
        ( top_str(X0)
       => ! [X1] :
            ( element(X1,powerset(the_carrier(X0)))
           => ( open_subset(X1,X0)
            <=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X0] :
      ( top_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => ( open_subset(X1,X0)
          <=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).

fof(f144,plain,
    ( ~ spl4_2
    | ~ spl4_9
    | spl4_17 ),
    inference(avatar_split_clause,[],[f138,f134,f84,f53]) ).

fof(f53,plain,
    ( spl4_2
  <=> element(sK1,powerset(the_carrier(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f84,plain,
    ( spl4_9
  <=> ! [X0,X1] :
        ( element(subset_complement(X0,X1),powerset(X0))
        | ~ element(X1,powerset(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f138,plain,
    ( ~ element(sK1,powerset(the_carrier(sK0)))
    | ~ spl4_9
    | spl4_17 ),
    inference(resolution,[],[f136,f85]) ).

fof(f85,plain,
    ( ! [X0,X1] :
        ( element(subset_complement(X0,X1),powerset(X0))
        | ~ element(X1,powerset(X0)) )
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f136,plain,
    ( ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
    | spl4_17 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f143,plain,
    ( spl4_18
    | ~ spl4_6
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f117,f114,f72,f141]) ).

fof(f141,plain,
    ( spl4_18
  <=> ! [X0] : subset_complement(X0,subset_complement(X0,X0)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f72,plain,
    ( spl4_6
  <=> ! [X0] : subset(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f114,plain,
    ( spl4_14
  <=> ! [X0,X1] :
        ( subset_complement(X0,subset_complement(X0,X1)) = X1
        | ~ subset(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f117,plain,
    ( ! [X0] : subset_complement(X0,subset_complement(X0,X0)) = X0
    | ~ spl4_6
    | ~ spl4_14 ),
    inference(resolution,[],[f115,f73]) ).

fof(f73,plain,
    ( ! [X0] : subset(X0,X0)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f115,plain,
    ( ! [X0,X1] :
        ( ~ subset(X1,X0)
        | subset_complement(X0,subset_complement(X0,X1)) = X1 )
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f137,plain,
    ( ~ spl4_1
    | ~ spl4_17
    | ~ spl4_5
    | spl4_4
    | ~ spl4_11
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f111,f106,f96,f63,f67,f134,f48]) ).

fof(f96,plain,
    ( spl4_11
  <=> ! [X0,X1] :
        ( open_subset(subset_complement(the_carrier(X0),X1),X0)
        | ~ closed_subset(X1,X0)
        | ~ element(X1,powerset(the_carrier(X0)))
        | ~ top_str(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f111,plain,
    ( open_subset(sK1,sK0)
    | ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
    | ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
    | ~ top_str(sK0)
    | ~ spl4_11
    | ~ spl4_13 ),
    inference(superposition,[],[f97,f108]) ).

fof(f97,plain,
    ( ! [X0,X1] :
        ( open_subset(subset_complement(the_carrier(X0),X1),X0)
        | ~ closed_subset(X1,X0)
        | ~ element(X1,powerset(the_carrier(X0)))
        | ~ top_str(X0) )
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f128,plain,
    ( spl4_16
    | ~ spl4_9
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f92,f88,f84,f126]) ).

fof(f126,plain,
    ( spl4_16
  <=> ! [X0,X1] :
        ( subset_complement(X0,X1) = subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))
        | ~ element(X1,powerset(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f88,plain,
    ( spl4_10
  <=> ! [X0,X1] :
        ( subset_complement(X0,subset_complement(X0,X1)) = X1
        | ~ element(X1,powerset(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f92,plain,
    ( ! [X0,X1] :
        ( subset_complement(X0,X1) = subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))
        | ~ element(X1,powerset(X0)) )
    | ~ spl4_9
    | ~ spl4_10 ),
    inference(resolution,[],[f89,f85]) ).

fof(f89,plain,
    ( ! [X0,X1] :
        ( ~ element(X1,powerset(X0))
        | subset_complement(X0,subset_complement(X0,X1)) = X1 )
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f121,plain,
    ( spl4_15
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f94,f88,f76,f119]) ).

fof(f119,plain,
    ( spl4_15
  <=> ! [X0] : sK2(powerset(X0)) = subset_complement(X0,subset_complement(X0,sK2(powerset(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f76,plain,
    ( spl4_7
  <=> ! [X0] : element(sK2(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f94,plain,
    ( ! [X0] : sK2(powerset(X0)) = subset_complement(X0,subset_complement(X0,sK2(powerset(X0))))
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(resolution,[],[f89,f77]) ).

fof(f77,plain,
    ( ! [X0] : element(sK2(X0),X0)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f116,plain,
    ( spl4_14
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f91,f88,f80,f114]) ).

fof(f80,plain,
    ( spl4_8
  <=> ! [X0,X1] :
        ( element(X0,powerset(X1))
        | ~ subset(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f91,plain,
    ( ! [X0,X1] :
        ( subset_complement(X0,subset_complement(X0,X1)) = X1
        | ~ subset(X1,X0) )
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(resolution,[],[f89,f81]) ).

fof(f81,plain,
    ( ! [X0,X1] :
        ( element(X0,powerset(X1))
        | ~ subset(X0,X1) )
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f109,plain,
    ( spl4_13
    | ~ spl4_2
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f93,f88,f53,f106]) ).

fof(f93,plain,
    ( sK1 = subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1))
    | ~ spl4_2
    | ~ spl4_10 ),
    inference(resolution,[],[f89,f55]) ).

fof(f55,plain,
    ( element(sK1,powerset(the_carrier(sK0)))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f102,plain,
    spl4_12,
    inference(avatar_split_clause,[],[f40,f100]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( closed_subset(X1,X0)
      | ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ top_str(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( closed_subset(X1,X0)
              | ~ open_subset(subset_complement(the_carrier(X0),X1),X0) )
            & ( open_subset(subset_complement(the_carrier(X0),X1),X0)
              | ~ closed_subset(X1,X0) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ top_str(X0) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( closed_subset(X1,X0)
          <=> open_subset(subset_complement(the_carrier(X0),X1),X0) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ top_str(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( top_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => ( closed_subset(X1,X0)
          <=> open_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).

fof(f98,plain,
    spl4_11,
    inference(avatar_split_clause,[],[f39,f96]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( open_subset(subset_complement(the_carrier(X0),X1),X0)
      | ~ closed_subset(X1,X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ top_str(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f90,plain,
    spl4_10,
    inference(avatar_split_clause,[],[f44,f88]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( subset_complement(X0,subset_complement(X0,X1)) = X1
      | ~ element(X1,powerset(X0)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( subset_complement(X0,subset_complement(X0,X1)) = X1
      | ~ element(X1,powerset(X0)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => subset_complement(X0,subset_complement(X0,X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).

fof(f86,plain,
    spl4_9,
    inference(avatar_split_clause,[],[f43,f84]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( element(subset_complement(X0,X1),powerset(X0))
      | ~ element(X1,powerset(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( element(subset_complement(X0,X1),powerset(X0))
      | ~ element(X1,powerset(X0)) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => element(subset_complement(X0,X1),powerset(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).

fof(f82,plain,
    spl4_8,
    inference(avatar_split_clause,[],[f45,f80]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => element(X0,powerset(X1)) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f78,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f41,f76]) ).

fof(f41,plain,
    ! [X0] : element(sK2(X0),X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] : element(sK2(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f9,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X1] : element(X1,X0)
     => element(sK2(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f9,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f74,plain,
    spl4_6,
    inference(avatar_split_clause,[],[f42,f72]) ).

fof(f42,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f70,plain,
    ( spl4_4
    | spl4_5 ),
    inference(avatar_split_clause,[],[f37,f67,f63]) ).

fof(f37,plain,
    ( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
    | open_subset(sK1,sK0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f61,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f46,f58]) ).

fof(f58,plain,
    ( spl4_3
  <=> top_str(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f46,plain,
    top_str(sK3),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    top_str(sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f7,f33]) ).

fof(f33,plain,
    ( ? [X0] : top_str(X0)
   => top_str(sK3) ),
    introduced(choice_axiom,[]) ).

fof(f7,axiom,
    ? [X0] : top_str(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).

fof(f56,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f36,f53]) ).

fof(f36,plain,
    element(sK1,powerset(the_carrier(sK0))),
    inference(cnf_transformation,[],[f29]) ).

fof(f51,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f35,f48]) ).

fof(f35,plain,
    top_str(sK0),
    inference(cnf_transformation,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Apr 29 20:33:03 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (19368)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (19372)WARNING: value z3 for option sas not known
% 0.13/0.37  % (19370)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (19373)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (19372)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (19371)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (19376)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (19374)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (19375)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  % (19374)First to succeed.
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.38  % (19372)Also succeeded, but the first one will report.
% 0.13/0.38  TRYING [4]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  % (19375)Also succeeded, but the first one will report.
% 0.13/0.38  % (19374)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Theorem for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (19374)------------------------------
% 0.13/0.38  % (19374)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38  % (19374)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (19374)Memory used [KB]: 855
% 0.13/0.38  % (19374)Time elapsed: 0.007 s
% 0.13/0.38  % (19374)Instructions burned: 7 (million)
% 0.13/0.38  % (19374)------------------------------
% 0.13/0.38  % (19374)------------------------------
% 0.13/0.38  % (19368)Success in time 0.022 s
%------------------------------------------------------------------------------