TSTP Solution File: SEU055+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% 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 11:56:55 EDT 2023

% Result   : Theorem 89.95s 15.59s
% Output   : Refutation 89.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   55
% Syntax   : Number of formulae    :   97 (  19 unt;  15 typ;   0 def)
%            Number of atoms       :  215 (  36 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  515 (  31   ~;   2   |;  72   &; 351   @)
%                                         (   6 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   2 con; 0-2 aty)
%            Number of variables   :  127 (   0   ^; 105   !;  22   ?; 127   :)

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

thf(function_type,type,
    function: $i > $o ).

thf(relation_image_type,type,
    relation_image: $i > $i > $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(one_to_one_type,type,
    one_to_one: $i > $o ).

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

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

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

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

thf(singleton_type,type,
    singleton: $i > $i ).

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

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

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(apply_type,type,
    apply: $i > $i > $i ).

thf(relation_empty_yielding_type,type,
    relation_empty_yielding: $i > $o ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( empty @ A )
        & ( A != B )
        & ( empty @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).

thf(56,plain,
    ! [A: $i,B: $i] :
      ~ ( ( empty @ A )
        & ( A != B )
        & ( empty @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ! [B: $i,C: $i] :
            ( ( relation_image @ A @ ( set_difference @ B @ C ) )
            = ( set_difference @ ( relation_image @ A @ B ) @ ( relation_image @ A @ C ) ) )
       => ( one_to_one @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t124_funct_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ! [B: $i,C: $i] :
              ( ( relation_image @ A @ ( set_difference @ B @ C ) )
              = ( set_difference @ ( relation_image @ A @ B ) @ ( relation_image @ A @ C ) ) )
         => ( one_to_one @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(42,plain,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ! [B: $i,C: $i] :
              ( ( relation_image @ A @ ( set_difference @ B @ C ) )
              = ( set_difference @ ( relation_image @ A @ B ) @ ( relation_image @ A @ C ) ) )
         => ( one_to_one @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,axiom,
    ? [A: $i] : ( empty @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(60,plain,
    ? [A: $i] : ( empty @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( empty @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

thf(65,plain,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( empty @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(41,axiom,
    ? [A: $i] :
      ( ( relation @ A )
      & ( function @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).

thf(188,plain,
    ? [A: $i] :
      ( ( relation @ A )
      & ( function @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
      <=> ! [B: $i,C: $i] :
            ( ( ( in @ B @ ( relation_dom @ A ) )
              & ( in @ C @ ( relation_dom @ A ) )
              & ( ( apply @ A @ B )
                = ( apply @ A @ C ) ) )
           => ( B = C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).

thf(148,plain,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( ( one_to_one @ A )
         => ! [B: $i,C: $i] :
              ( ( ( in @ B @ ( relation_dom @ A ) )
                & ( in @ C @ ( relation_dom @ A ) )
                & ( ( apply @ A @ B )
                  = ( apply @ A @ C ) ) )
             => ( B = C ) ) )
        & ( ! [B: $i,C: $i] :
              ( ( ( in @ B @ ( relation_dom @ A ) )
                & ( in @ C @ ( relation_dom @ A ) )
                & ( ( apply @ A @ B )
                  = ( apply @ A @ C ) ) )
             => ( B = C ) )
         => ( one_to_one @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(13,axiom,
    empty @ empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).

thf(76,plain,
    empty @ empty_set,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( set_difference @ A @ empty_set )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).

thf(123,plain,
    ! [A: $i] :
      ( ( set_difference @ A @ empty_set )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).

thf(48,plain,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ? [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
          & ~ ( empty @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(30,axiom,
    ? [A: $i] :
      ( ~ ( empty @ A )
      & ( relation @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).

thf(143,plain,
    ? [A: $i] :
      ( ~ ( empty @ A )
      & ( relation @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

thf(87,plain,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

thf(82,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)],[16]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( relation @ B ) )
     => ( relation @ ( set_difference @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_relat_1) ).

thf(126,plain,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( relation @ B ) )
     => ( relation @ ( set_difference @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(20,axiom,
    ! [A: $i] :
      ~ ( empty @ ( powerset @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(111,plain,
    ! [A: $i] :
      ~ ( empty @ ( powerset @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(37,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
        = ( singleton @ A ) )
    <=> ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_zfmisc_1) ).

thf(170,plain,
    ! [A: $i,B: $i] :
      ( ( ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
          = ( singleton @ A ) )
       => ( A != B ) )
      & ( ( A != B )
       => ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
          = ( singleton @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(23,axiom,
    ( ( empty @ empty_set )
    & ( relation @ empty_set ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).

thf(120,plain,
    ( ( empty @ empty_set )
    & ( relation @ empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(40,axiom,
    ( ( empty @ empty_set )
    & ( relation @ empty_set )
    & ( relation_empty_yielding @ empty_set ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).

thf(184,plain,
    ( ( empty @ empty_set )
    & ( relation @ empty_set )
    & ( relation_empty_yielding @ empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(33,axiom,
    ? [A: $i] :
      ( ( relation @ A )
      & ( relation_empty_yielding @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).

thf(157,plain,
    ? [A: $i] :
      ( ( relation @ A )
      & ( relation_empty_yielding @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

thf(89,plain,
    ! [A: $i,B: $i] :
      ( ( ( B
          = ( singleton @ A ) )
       => ! [C: $i] :
            ( ( ( in @ C @ B )
             => ( C = A ) )
            & ( ( C = A )
             => ( in @ C @ B ) ) ) )
      & ( ! [C: $i] :
            ( ( ( in @ C @ B )
             => ( C = A ) )
            & ( ( C = A )
             => ( in @ C @ B ) ) )
       => ( B
          = ( singleton @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( empty @ A )
        & ( function @ A ) )
     => ( ( relation @ A )
        & ( function @ A )
        & ( one_to_one @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).

thf(116,plain,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( empty @ A )
        & ( function @ A ) )
     => ( ( relation @ A )
        & ( function @ A )
        & ( one_to_one @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(34,axiom,
    ? [A: $i] :
      ( ( empty @ A )
      & ( relation @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).

thf(160,plain,
    ? [A: $i] :
      ( ( empty @ A )
      & ( relation @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(11,axiom,
    ? [A: $i] :
      ~ ( empty @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).

thf(70,plain,
    ? [A: $i] :
      ~ ( empty @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( ~ ( empty @ A )
        & ( relation @ A ) )
     => ~ ( empty @ ( relation_dom @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).

thf(137,plain,
    ! [A: $i] :
      ( ( ~ ( empty @ A )
        & ( relation @ A ) )
     => ~ ( empty @ ( relation_dom @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(19,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(109,plain,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

thf(77,plain,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(12,axiom,
    ! [A: $i] :
      ~ ( empty @ ( singleton @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).

thf(73,plain,
    ! [A: $i] :
      ~ ( empty @ ( singleton @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( function @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).

thf(128,plain,
    ! [A: $i] :
      ( ( empty @ A )
     => ( function @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(5,axiom,
    ! [A: $i] :
    ? [B: $i] : ( element @ B @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).

thf(54,plain,
    ! [A: $i] :
    ? [B: $i] : ( element @ B @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(39,axiom,
    ! [A: $i] :
      ( ( set_difference @ empty_set @ A )
      = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_boole) ).

thf(181,plain,
    ! [A: $i] :
      ( ( set_difference @ empty_set @ A )
      = empty_set ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(27,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ B )
        = empty_set )
    <=> ( subset @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).

thf(130,plain,
    ! [A: $i,B: $i] :
      ( ( ( ( set_difference @ A @ B )
          = empty_set )
       => ( subset @ A @ B ) )
      & ( ( subset @ A @ B )
       => ( ( set_difference @ A @ B )
          = empty_set ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(15,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) ) )
     => ( element @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).

thf(80,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)],[15]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( ( empty @ ( relation_dom @ A ) )
        & ( relation @ ( relation_dom @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).

thf(167,plain,
    ! [A: $i] :
      ( ( empty @ A )
     => ( ( empty @ ( relation_dom @ A ) )
        & ( relation @ ( relation_dom @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(21,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(114,plain,
    ! [A: $i] : ( subset @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(29,axiom,
    ? [A: $i] :
      ( ( relation @ A )
      & ( empty @ A )
      & ( function @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).

thf(139,plain,
    ? [A: $i] :
      ( ( relation @ A )
      & ( empty @ A )
      & ( function @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( relation @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).

thf(146,plain,
    ! [A: $i] :
      ( ( empty @ A )
     => ( relation @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(4,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
      & ( empty @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).

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

thf(35,axiom,
    ? [A: $i] :
      ( ( relation @ A )
      & ( function @ A )
      & ( one_to_one @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).

thf(163,plain,
    ? [A: $i] :
      ( ( relation @ A )
      & ( function @ A )
      & ( one_to_one @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

thf(68,plain,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(8,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) )
        & ( empty @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).

thf(62,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) )
        & ( empty @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(38,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( in @ A @ ( relation_dom @ B ) )
       => ( ( relation_image @ B @ ( singleton @ A ) )
          = ( singleton @ ( apply @ B @ A ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).

thf(178,plain,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( in @ A @ ( relation_dom @ B ) )
       => ( ( relation_image @ B @ ( singleton @ A ) )
          = ( singleton @ ( apply @ B @ A ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(42531,plain,
    $false,
    inference(e,[status(thm)],[56,42,60,65,188,148,76,123,48,143,87,82,126,111,170,120,184,157,89,116,160,70,137,109,77,73,128,54,181,130,80,167,114,139,146,51,163,68,62,178]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 13:32:40 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.87/0.79  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.16/0.92  % [INFO] 	 Parsing done (136ms). 
% 1.31/0.93  % [INFO] 	 Running in sequential loop mode. 
% 1.59/1.15  % [INFO] 	 eprover registered as external prover. 
% 1.59/1.15  % [INFO] 	 cvc4 registered as external prover. 
% 1.59/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.88/1.22  % [INFO] 	 Found a conjecture and 39 axioms. Running axiom selection ... 
% 1.94/1.28  % [INFO] 	 Axiom selection finished. Selected 39 axioms (removed 0 axioms). 
% 1.94/1.31  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.94/1.32  % [INFO] 	 Type checking passed. 
% 2.28/1.32  % [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 ... 
% 89.95/15.59  % External prover 'e' found a proof!
% 89.95/15.59  % [INFO] 	 Killing All external provers ... 
% 89.95/15.59  % Time passed: 15098ms (effective reasoning time: 14656ms)
% 89.95/15.59  % 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)>
% 89.95/15.59  % Axioms used in derivation (39): t117_funct_1, rc3_funct_1, rc1_funct_1, t5_subset, fc2_subset_1, fc5_relat_1, rc2_relat_1, t3_boole, rc2_xboole_0, antisymmetry_r2_hidden, t20_zfmisc_1, d1_tarski, fc1_xboole_0, fc4_relat_1, t1_subset, fc3_relat_1, d8_funct_1, t37_xboole_1, cc1_relat_1, rc3_relat_1, t6_boole, rc2_subset_1, t4_boole, t4_subset, t7_boole, cc1_funct_1, fc1_subset_1, rc2_funct_1, rc1_subset_1, cc2_funct_1, t3_subset, existence_m1_subset_1, rc1_relat_1, reflexivity_r1_tarski, t8_boole, rc1_xboole_0, t2_subset, fc7_relat_1, fc12_relat_1
% 89.95/15.59  % No. of inferences in proof: 82
% 89.95/15.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 15098 ms resp. 14656 ms w/o parsing
% 89.95/15.62  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 89.95/15.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------