TSTP Solution File: SEU362+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n013.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 : Fri May 19 11:58:31 EDT 2023

% Result   : Theorem 4.01s 1.91s
% Output   : Refutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   52
% Syntax   : Number of formulae    :   88 (  19 unt;  18 typ;   0 def)
%            Number of atoms       :  188 (  10 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  516 (  24   ~;   2   |;  37   &; 374   @)
%                                         (   4 <=>;  75  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  29   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   2 con; 0-3 aty)
%            Number of variables   :  143 (   0   ^; 121   !;  22   ?; 143   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rel_str_type,type,
    rel_str: $i > $o ).

thf(subrelstr_type,type,
    subrelstr: $i > $i > $o ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(related_type,type,
    related: $i > $i > $i > $o ).

thf(relation_of2_type,type,
    relation_of2: $i > $i > $i > $o ).

thf(empty_type,type,
    empty: $i > $o ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(relation_of2_as_subset_type,type,
    relation_of2_as_subset: $i > $i > $i > $o ).

thf(finite_type,type,
    finite: $i > $o ).

thf(cartesian_product2_type,type,
    cartesian_product2: $i > $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(one_sorted_str_type,type,
    one_sorted_str: $i > $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(the_InternalRel_type,type,
    the_InternalRel: $i > $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(30,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( rel_str @ B )
         => ( ( subrelstr @ B @ A )
          <=> ( ( subset @ ( the_carrier @ B ) @ ( the_carrier @ A ) )
              & ( subset @ ( the_InternalRel @ B ) @ ( the_InternalRel @ A ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).

thf(115,plain,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( rel_str @ B )
         => ( ( ( subrelstr @ B @ A )
             => ( ( subset @ ( the_carrier @ B ) @ ( the_carrier @ A ) )
                & ( subset @ ( the_InternalRel @ B ) @ ( the_InternalRel @ A ) ) ) )
            & ( ( ( subset @ ( the_carrier @ B ) @ ( the_carrier @ A ) )
                & ( subset @ ( the_InternalRel @ B ) @ ( the_InternalRel @ A ) ) )
             => ( subrelstr @ B @ A ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B )
          & ( finite @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).

thf(125,plain,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B )
          & ( finite @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(26,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) )
        & ( empty @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

thf(106,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) )
        & ( empty @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(27,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

thf(109,plain,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ( ( related @ A @ B @ C )
              <=> ( in @ ( ordered_pair @ B @ C ) @ ( the_InternalRel @ A ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).

thf(129,plain,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ( ( ( related @ A @ B @ C )
                 => ( in @ ( ordered_pair @ B @ C ) @ ( the_InternalRel @ A ) ) )
                & ( ( in @ ( ordered_pair @ B @ C ) @ ( the_InternalRel @ A ) )
                 => ( related @ A @ B @ C ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(13,axiom,
    ? [A: $i] : ( one_sorted_str @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).

thf(73,plain,
    ? [A: $i] : ( one_sorted_str @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(29,axiom,
    ? [A: $i] : ( rel_str @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_orders_2) ).

thf(113,plain,
    ? [A: $i] : ( rel_str @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(16,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
    <=> ( relation_of2 @ C @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

thf(80,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation_of2_as_subset @ C @ A @ B )
       => ( relation_of2 @ C @ A @ B ) )
      & ( ( relation_of2 @ C @ A @ B )
       => ( relation_of2_as_subset @ C @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(32,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
     => ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).

thf(123,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation_of2_as_subset @ C @ A @ B )
     => ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(5,axiom,
    ? [A: $i] : ( empty @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(55,plain,
    ? [A: $i] : ( empty @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( empty @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

thf(68,plain,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( empty @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(21,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) ) )
     => ( element @ A @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

thf(93,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) ) )
     => ( element @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(6,axiom,
    ? [A: $i] :
      ~ ( empty @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).

thf(57,plain,
    ? [A: $i] :
      ~ ( empty @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( finite @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).

thf(78,plain,
    ! [A: $i] :
      ( ( empty @ A )
     => ( finite @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( relation_of2_as_subset @ C @ A @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).

thf(61,plain,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( relation_of2_as_subset @ C @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(35,axiom,
    ! [A: $i] :
    ? [B: $i] : ( element @ B @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

thf(132,plain,
    ! [A: $i] :
    ? [B: $i] : ( element @ B @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ( one_sorted_str @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).

thf(89,plain,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ( one_sorted_str @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(7,axiom,
    empty @ empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

thf(60,plain,
    empty @ empty_set,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(17,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(85,plain,
    ! [A: $i] : ( subset @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( finite @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( finite @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

thf(102,plain,
    ! [A: $i] :
      ( ( finite @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( finite @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(71,plain,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( relation_of2 @ C @ A @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).

thf(49,plain,
    ! [A: $i,B: $i] :
    ? [C: $i] : ( relation_of2 @ C @ A @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ( relation_of2_as_subset @ ( the_InternalRel @ A ) @ ( the_carrier @ A ) @ ( the_carrier @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).

thf(91,plain,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ( relation_of2_as_subset @ ( the_InternalRel @ A ) @ ( the_carrier @ A ) @ ( the_carrier @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( ( finite @ A )
        & ( finite @ B ) )
     => ( finite @ ( cartesian_product2 @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1) ).

thf(66,plain,
    ! [A: $i,B: $i] :
      ( ( ( finite @ A )
        & ( finite @ B ) )
     => ( finite @ ( cartesian_product2 @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(9,axiom,
    ? [A: $i] :
      ( ~ ( empty @ A )
      & ( finite @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).

thf(63,plain,
    ? [A: $i] :
      ( ~ ( empty @ A )
      & ( finite @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

thf(95,plain,
    ! [A: $i,B: $i] :
      ( ( ( element @ A @ ( powerset @ B ) )
       => ( subset @ A @ B ) )
      & ( ( subset @ A @ B )
       => ( element @ A @ ( powerset @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( subrelstr @ B @ A )
         => ( rel_str @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).

thf(87,plain,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( subrelstr @ B @ A )
         => ( rel_str @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ? [B: $i] : ( subrelstr @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_yellow_0) ).

thf(104,plain,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ? [B: $i] : ( subrelstr @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

thf(75,plain,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B )
          & ( finite @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).

thf(119,plain,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B )
          & ( finite @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(1,conjecture,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( subrelstr @ B @ A )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ! [D: $i] :
                  ( ( element @ D @ ( the_carrier @ A ) )
                 => ! [E: $i] :
                      ( ( element @ E @ ( the_carrier @ B ) )
                     => ! [F: $i] :
                          ( ( element @ F @ ( the_carrier @ B ) )
                         => ( ( ( E = C )
                              & ( F = D )
                              & ( related @ B @ E @ F ) )
                           => ( related @ A @ C @ D ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( rel_str @ A )
       => ! [B: $i] :
            ( ( subrelstr @ B @ A )
           => ! [C: $i] :
                ( ( element @ C @ ( the_carrier @ A ) )
               => ! [D: $i] :
                    ( ( element @ D @ ( the_carrier @ A ) )
                   => ! [E: $i] :
                        ( ( element @ E @ ( the_carrier @ B ) )
                       => ! [F: $i] :
                            ( ( element @ F @ ( the_carrier @ B ) )
                           => ( ( ( E = C )
                                & ( F = D )
                                & ( related @ B @ E @ F ) )
                             => ( related @ A @ C @ D ) ) ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(36,plain,
    ~ ! [A: $i] :
        ( ( rel_str @ A )
       => ! [B: $i] :
            ( ( subrelstr @ B @ A )
           => ! [C: $i] :
                ( ( element @ C @ ( the_carrier @ A ) )
               => ! [D: $i] :
                    ( ( element @ D @ ( the_carrier @ A ) )
                   => ! [E: $i] :
                        ( ( element @ E @ ( the_carrier @ B ) )
                       => ! [F: $i] :
                            ( ( element @ F @ ( the_carrier @ B ) )
                           => ( ( ( E = C )
                                & ( F = D )
                                & ( related @ B @ E @ F ) )
                             => ( related @ A @ C @ D ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( empty @ A )
        & ( A != B )
        & ( empty @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

thf(51,plain,
    ! [A: $i,B: $i] :
      ~ ( ( empty @ A )
        & ( A != B )
        & ( empty @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

thf(111,plain,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) )
     => ( relation @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).

thf(100,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) )
     => ( relation @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(134,plain,
    $false,
    inference(e,[status(thm)],[115,125,106,109,129,73,113,80,123,55,68,93,57,78,61,132,89,60,85,102,71,49,91,66,63,95,87,104,75,119,36,51,111,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu May 18 12:31:51 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.95/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.23/1.00  % [INFO] 	 Parsing done (141ms). 
% 1.23/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.76/1.21  % [INFO] 	 eprover registered as external prover. 
% 1.76/1.21  % [INFO] 	 cvc4 registered as external prover. 
% 1.76/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.88/1.28  % [INFO] 	 Found a conjecture and 41 axioms. Running axiom selection ... 
% 2.07/1.33  % [INFO] 	 Axiom selection finished. Selected 33 axioms (removed 8 axioms). 
% 2.28/1.37  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.28/1.37  % [INFO] 	 Type checking passed. 
% 2.28/1.38  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 4.01/1.91  % External prover 'e' found a proof!
% 4.01/1.91  % [INFO] 	 Killing All external provers ... 
% 4.01/1.91  % Time passed: 1372ms (effective reasoning time: 895ms)
% 4.01/1.91  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.01/1.91  % Axioms used in derivation (33): redefinition_m2_relset_1, cc2_finset_1, rc4_finset_1, d13_yellow_0, dt_m2_relset_1, dt_u1_orders_2, d9_orders_2, t6_boole, t5_subset, existence_m1_relset_1, t4_subset, existence_m2_relset_1, dt_l1_orders_2, reflexivity_r1_tarski, t2_subset, existence_l1_struct_0, antisymmetry_r2_hidden, fc1_xboole_0, t1_subset, t7_boole, existence_l1_orders_2, t3_subset, cc1_relset_1, existence_m1_subset_1, existence_m1_yellow_0, dt_m1_yellow_0, rc3_finset_1, rc1_finset_1, cc1_finset_1, t8_boole, rc1_xboole_0, fc14_finset_1, rc2_xboole_0
% 4.01/1.91  % No. of inferences in proof: 70
% 4.01/1.91  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1372 ms resp. 895 ms w/o parsing
% 4.01/1.96  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.01/1.96  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------