TSTP Solution File: SEU314+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n008.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 11:58:12 EDT 2023

% Result   : Theorem 4.45s 2.11s
% Output   : Refutation 4.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   72 (   5 unt;  20 typ;   0 def)
%            Number of atoms       :  253 (  20 equ;   0 cnn)
%            Maximal formula atoms :   28 (   4 avg)
%            Number of connectives :  597 (  12   ~;   0   |; 127   &; 384   @)
%                                         (   3 <=>;  71  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   1 con; 0-2 aty)
%            Number of variables   :  115 (   0   ^;  88   !;  27   ?; 115   :)

% Comments : 
%------------------------------------------------------------------------------
thf(topological_space_type,type,
    topological_space: $i > $o ).

thf(top_str_type,type,
    top_str: $i > $o ).

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

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

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

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

thf(closed_subset_type,type,
    closed_subset: $i > $i > $o ).

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

thf(v2_membered_type,type,
    v2_membered: $i > $o ).

thf(v1_membered_type,type,
    v1_membered: $i > $o ).

thf(v4_membered_type,type,
    v4_membered: $i > $o ).

thf(v3_membered_type,type,
    v3_membered: $i > $o ).

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

thf(v5_membered_type,type,
    v5_membered: $i > $o ).

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

thf(v1_xcmplx_0_type,type,
    v1_xcmplx_0: $i > $o ).

thf(natural_type,type,
    natural: $i > $o ).

thf(v1_xreal_0_type,type,
    v1_xreal_0: $i > $o ).

thf(v1_int_1_type,type,
    v1_int_1: $i > $o ).

thf(v1_rat_1_type,type,
    v1_rat_1: $i > $o ).

thf(10,axiom,
    ! [A: $i] :
      ( ( v3_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B )
            & ( v3_membered @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc18_membered) ).

thf(69,plain,
    ! [A: $i] :
      ( ( v3_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B )
            & ( v3_membered @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( v3_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( v1_xreal_0 @ B )
            & ( v1_rat_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_membered) ).

thf(142,plain,
    ! [A: $i] :
      ( ( v3_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( v1_xreal_0 @ B )
            & ( v1_rat_1 @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( v5_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B )
            & ( v3_membered @ B )
            & ( v4_membered @ B )
            & ( v5_membered @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc20_membered) ).

thf(93,plain,
    ! [A: $i] :
      ( ( v5_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B )
            & ( v3_membered @ B )
            & ( v4_membered @ B )
            & ( v5_membered @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( v2_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( v1_xreal_0 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_membered) ).

thf(137,plain,
    ! [A: $i] :
      ( ( v2_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( v1_xreal_0 @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(6,axiom,
    ? [A: $i] :
      ( ~ ( empty @ A )
      & ( v1_membered @ A )
      & ( v2_membered @ A )
      & ( v3_membered @ A )
      & ( v4_membered @ A )
      & ( v5_membered @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).

thf(53,plain,
    ? [A: $i] :
      ( ~ ( empty @ A )
      & ( v1_membered @ A )
      & ( v2_membered @ A )
      & ( v3_membered @ A )
      & ( v4_membered @ A )
      & ( v5_membered @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ( v1_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( v1_membered @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).

thf(77,plain,
    ! [A: $i] :
      ( ( v1_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( v1_membered @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( topological_space @ A )
        & ( top_str @ A )
        & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
     => ? [C: $i] :
        ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
            & ? [E: $i] :
                ( ( element @ E @ ( powerset @ ( the_carrier @ A ) ) )
                & ( E = D )
                & ( closed_subset @ E @ A )
                & ( subset @ B @ D ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( topological_space @ A )
          & ( top_str @ A )
          & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( in @ D @ C )
          <=> ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
              & ? [E: $i] :
                  ( ( element @ E @ ( powerset @ ( the_carrier @ A ) ) )
                  & ( E = D )
                  & ( closed_subset @ E @ A )
                  & ( subset @ B @ D ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(27,plain,
    ~ ! [A: $i,B: $i] :
        ( ( ( topological_space @ A )
          & ( top_str @ A )
          & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( ( in @ D @ C )
             => ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
                & ? [E: $i] :
                    ( ( element @ E @ ( powerset @ ( the_carrier @ A ) ) )
                    & ( E = D )
                    & ( closed_subset @ E @ A )
                    & ( subset @ B @ D ) ) ) )
            & ( ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
                & ? [E: $i] :
                    ( ( element @ E @ ( powerset @ ( the_carrier @ A ) ) )
                    & ( E = D )
                    & ( closed_subset @ E @ A )
                    & ( subset @ B @ D ) ) )
             => ( in @ D @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(24,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(140,plain,
    ! [A: $i] : ( subset @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( v2_membered @ A )
     => ( v1_membered @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_membered) ).

thf(43,plain,
    ! [A: $i] :
      ( ( v2_membered @ A )
     => ( v1_membered @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( v4_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( v1_xreal_0 @ B )
            & ( v1_int_1 @ B )
            & ( v1_rat_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_membered) ).

thf(146,plain,
    ! [A: $i] :
      ( ( v4_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( v1_xreal_0 @ B )
            & ( v1_int_1 @ B )
            & ( v1_rat_1 @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( ( topological_space @ A )
        & ( top_str @ A ) )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
          & ( closed_subset @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).

thf(79,plain,
    ! [A: $i] :
      ( ( ( topological_space @ A )
        & ( top_str @ A ) )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
          & ( closed_subset @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(18,axiom,
    ! [A: $i] :
      ~ ( empty @ ( powerset @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(90,plain,
    ! [A: $i] :
      ~ ( empty @ ( powerset @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( v3_membered @ A )
     => ( v2_membered @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_membered) ).

thf(60,plain,
    ! [A: $i] :
      ( ( v3_membered @ A )
     => ( v2_membered @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(85,plain,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(22,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
      & ( empty @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

thf(134,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
      & ( empty @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( top_str @ A )
     => ( one_sorted_str @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

thf(73,plain,
    ! [A: $i] :
      ( ( top_str @ A )
     => ( one_sorted_str @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( v5_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( natural @ B )
            & ( v1_xreal_0 @ B )
            & ( v1_int_1 @ B )
            & ( v1_rat_1 @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_membered) ).

thf(128,plain,
    ! [A: $i] :
      ( ( v5_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( ( v1_xcmplx_0 @ B )
            & ( natural @ B )
            & ( v1_xreal_0 @ B )
            & ( v1_int_1 @ B )
            & ( v1_rat_1 @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( v4_membered @ A )
     => ( v3_membered @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_membered) ).

thf(45,plain,
    ! [A: $i] :
      ( ( v4_membered @ A )
     => ( v3_membered @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( v4_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B )
            & ( v3_membered @ B )
            & ( v4_membered @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc19_membered) ).

thf(64,plain,
    ! [A: $i] :
      ( ( v4_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B )
            & ( v3_membered @ B )
            & ( v4_membered @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( ( topological_space @ A )
        & ( top_str @ A )
        & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
     => ( ! [C: $i,D: $i,E: $i] :
            ( ( ( C = D )
              & ? [F: $i] :
                  ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
                  & ( F = D )
                  & ( closed_subset @ F @ A )
                  & ( subset @ B @ D ) )
              & ( C = E )
              & ? [F: $i] :
                  ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
                  & ( F = E )
                  & ( closed_subset @ F @ A )
                  & ( subset @ B @ E ) ) )
           => ( D = E ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( in @ D @ C )
          <=> ? [E: $i] :
                ( ( in @ E @ ( powerset @ ( the_carrier @ A ) ) )
                & ( E = D )
                & ? [F: $i] :
                    ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
                    & ( F = D )
                    & ( closed_subset @ F @ A )
                    & ( subset @ B @ D ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e1_40__pre_topc__1) ).

thf(99,plain,
    ! [A: $i,B: $i] :
      ( ( ( topological_space @ A )
        & ( top_str @ A )
        & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
     => ( ! [C: $i,D: $i,E: $i] :
            ( ( ( C = D )
              & ? [F: $i] :
                  ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
                  & ( F = D )
                  & ( closed_subset @ F @ A )
                  & ( subset @ B @ D ) )
              & ( C = E )
              & ? [F: $i] :
                  ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
                  & ( F = E )
                  & ( closed_subset @ F @ A )
                  & ( subset @ B @ E ) ) )
           => ( D = E ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( ( in @ D @ C )
             => ? [E: $i] :
                  ( ( in @ E @ ( powerset @ ( the_carrier @ A ) ) )
                  & ( E = D )
                  & ? [F: $i] :
                      ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
                      & ( F = D )
                      & ( closed_subset @ F @ A )
                      & ( subset @ B @ D ) ) ) )
            & ( ? [E: $i] :
                  ( ( in @ E @ ( powerset @ ( the_carrier @ A ) ) )
                  & ( E = D )
                  & ? [F: $i] :
                      ( ( element @ F @ ( powerset @ ( the_carrier @ A ) ) )
                      & ( F = D )
                      & ( closed_subset @ F @ A )
                      & ( subset @ B @ D ) ) )
             => ( in @ D @ C ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( v2_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc17_membered) ).

thf(87,plain,
    ! [A: $i] :
      ( ( v2_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( ( v1_membered @ B )
            & ( v2_membered @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( v1_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( v1_xcmplx_0 @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_membered) ).

thf(75,plain,
    ! [A: $i] :
      ( ( v1_membered @ A )
     => ! [B: $i] :
          ( ( element @ B @ A )
         => ( v1_xcmplx_0 @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).

thf(82,plain,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( ( v1_membered @ A )
        & ( v2_membered @ A )
        & ( v3_membered @ A )
        & ( v4_membered @ A )
        & ( v5_membered @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc15_membered) ).

thf(47,plain,
    ! [A: $i] :
      ( ( empty @ A )
     => ( ( v1_membered @ A )
        & ( v2_membered @ A )
        & ( v3_membered @ A )
        & ( v4_membered @ A )
        & ( v5_membered @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( v5_membered @ A )
     => ( v4_membered @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_membered) ).

thf(62,plain,
    ! [A: $i] :
      ( ( v5_membered @ A )
     => ( v4_membered @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(151,plain,
    $false,
    inference(cvc4,[status(thm)],[69,142,93,137,53,77,27,140,43,146,79,90,60,85,134,73,128,45,64,99,87,75,82,47,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n008.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 13:33:25 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.88/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.15/1.00  % [INFO] 	 Parsing done (138ms). 
% 1.15/1.01  % [INFO] 	 Running in sequential loop mode. 
% 1.84/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.84/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.92/1.23  % [INFO] 	 Scanning for conjecture ... 
% 1.92/1.30  % [INFO] 	 Found a conjecture and 28 axioms. Running axiom selection ... 
% 2.19/1.36  % [INFO] 	 Axiom selection finished. Selected 24 axioms (removed 4 axioms). 
% 2.19/1.39  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.46/1.40  % [INFO] 	 Type checking passed. 
% 2.46/1.40  % [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 ... 
% 4.45/2.11  % External prover 'cvc4' found a proof!
% 4.45/2.11  % [INFO] 	 Killing All external provers ... 
% 4.45/2.11  % Time passed: 1573ms (effective reasoning time: 1098ms)
% 4.45/2.11  % 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)>
% 4.45/2.11  % Axioms used in derivation (24): cc12_membered, cc10_membered, rc1_membered, rc6_pre_topc, cc19_membered, cc11_membered, cc18_membered, cc13_membered, cc15_membered, reflexivity_r1_tarski, cc17_membered, cc16_membered, antisymmetry_r2_hidden, dt_l1_pre_topc, rc2_subset_1, cc20_membered, fc1_subset_1, rc1_subset_1, cc4_membered, cc1_membered, s1_tarski__e1_40__pre_topc__1, cc2_membered, cc3_membered, cc14_membered
% 4.45/2.11  % No. of inferences in proof: 52
% 4.45/2.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1573 ms resp. 1098 ms w/o parsing
% 4.69/2.17  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.69/2.17  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------