TSTP Solution File: PUZ064-2 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n027.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 11:47:37 EDT 2023

% Result   : Unsatisfiable 79.84s 19.26s
% Output   : Refutation 79.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   77 (  43 unt;  18 typ;   0 def)
%            Number of atoms       :   85 (  36 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  522 (  28   ~;  26   |;   0   &; 468   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  29   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   8 con; 0-4 aty)
%            Number of variables   :  128 (   0   ^; 128   !;   0   ?; 128   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_in_type,type,
    c_in: $i > $i > $i > $o ).

thf(v_a_type,type,
    v_a: $i ).

thf(v_A_type,type,
    v_A: $i ).

thf(tc_set_type,type,
    tc_set: $i > $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(c_inter_type,type,
    c_inter: $i > $i > $i > $i ).

thf(v_t_type,type,
    v_t: $i ).

thf(c_emptyset_type,type,
    c_emptyset: $i ).

thf(v_u_type,type,
    v_u: $i ).

thf(c_Mutil_Otiling_type,type,
    c_Mutil_Otiling: $i > $i > $i ).

thf(c_union_type,type,
    c_union: $i > $i > $i > $i ).

thf(c_Relation_OImage_type,type,
    c_Relation_OImage: $i > $i > $i > $i > $i ).

thf(c_Relation_Odiag_type,type,
    c_Relation_Odiag: $i > $i > $i ).

thf(c_UNIV_type,type,
    c_UNIV: $i ).

thf(c_minus_type,type,
    c_minus: $i > $i > $i > $i ).

thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(c_uminus_type,type,
    c_uminus: $i > $i > $i ).

thf(c_Main_OsubsetI__1_type,type,
    c_Main_OsubsetI__1: $i > $i > $i > $i ).

thf(14,axiom,
    ! [B: $i,A: $i] :
      ( ( c_uminus @ ( c_uminus @ A @ ( tc_set @ B ) ) @ ( tc_set @ B ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Odouble__complement_0) ).

thf(56,plain,
    ! [B: $i,A: $i] :
      ( ( c_uminus @ ( c_uminus @ A @ ( tc_set @ B ) ) @ ( tc_set @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(12,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_union @ ( c_minus @ A @ B @ ( tc_set @ C ) ) @ B @ C )
      = ( c_union @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).

thf(52,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_union @ ( c_minus @ A @ B @ ( tc_set @ C ) ) @ B @ C )
      = ( c_union @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( c_uminus @ c_UNIV @ ( tc_set @ A ) )
      = c_emptyset ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__UNIV__eq_0) ).

thf(78,plain,
    ! [A: $i] :
      ( ( c_uminus @ c_UNIV @ ( tc_set @ A ) )
      = c_emptyset ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(7,axiom,
    ! [B: $i,A: $i] :
      ( ( c_union @ A @ A @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).

thf(41,plain,
    ! [B: $i,A: $i] :
      ( ( c_union @ A @ A @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(13,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_lessequals @ D @ B @ ( tc_set @ C ) )
      | ( c_lessequals @ ( c_union @ D @ A @ C ) @ B @ ( tc_set @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).

thf(54,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_lessequals @ D @ B @ ( tc_set @ C ) )
      | ( c_lessequals @ ( c_union @ D @ A @ C ) @ B @ ( tc_set @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(25,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_union @ ( c_union @ A @ B @ C ) @ D @ C )
      = ( c_union @ A @ ( c_union @ B @ D @ C ) @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__assoc_0) ).

thf(76,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_union @ ( c_union @ A @ B @ C ) @ D @ C )
      = ( c_union @ A @ ( c_union @ B @ D @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(20,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ ( c_union @ A @ B @ C ) @ D @ ( tc_set @ C ) )
      | ( c_lessequals @ B @ D @ ( tc_set @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).

thf(66,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ ( c_union @ A @ B @ C ) @ D @ ( tc_set @ C ) )
      | ( c_lessequals @ B @ D @ ( tc_set @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(18,axiom,
    ! [B: $i,A: $i] : ( c_lessequals @ c_emptyset @ A @ ( tc_set @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).

thf(63,plain,
    ! [B: $i,A: $i] : ( c_lessequals @ c_emptyset @ A @ ( tc_set @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(15,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_uminus @ ( c_minus @ A @ B @ ( tc_set @ C ) ) @ ( tc_set @ C ) )
      = ( c_union @ ( c_uminus @ A @ ( tc_set @ C ) ) @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__Diff__eq_0) ).

thf(58,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_uminus @ ( c_minus @ A @ B @ ( tc_set @ C ) ) @ ( tc_set @ C ) )
      = ( c_union @ ( c_uminus @ A @ ( tc_set @ C ) ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(5,negated_conjecture,
    ~ ( c_in @ ( c_union @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

thf(30,plain,
    ~ ( c_in @ ( c_union @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(28,axiom,
    ! [B: $i,A: $i] :
      ( ( c_union @ c_emptyset @ A @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).

thf(83,plain,
    ! [B: $i,A: $i] :
      ( ( c_union @ c_emptyset @ A @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(17,axiom,
    ! [B: $i,A: $i] :
      ~ ( c_in @ A @ c_emptyset @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).

thf(61,plain,
    ! [B: $i,A: $i] :
      ~ ( c_in @ A @ c_emptyset @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(24,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ ( c_inter @ B @ C @ D ) @ D )
      | ( c_in @ A @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__iff_1) ).

thf(74,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ ( c_inter @ B @ C @ D ) @ D )
      | ( c_in @ A @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(16,axiom,
    ! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_set @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

thf(60,plain,
    ! [B: $i,A: $i] : ( c_lessequals @ A @ A @ ( tc_set @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(29,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_minus @ A @ ( c_uminus @ B @ ( tc_set @ C ) ) @ ( tc_set @ C ) )
      = ( c_inter @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__Compl_0) ).

thf(85,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_minus @ A @ ( c_uminus @ B @ ( tc_set @ C ) ) @ ( tc_set @ C ) )
      = ( c_inter @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(22,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ ( c_union @ A @ B @ C ) @ D @ ( tc_set @ C ) )
      | ( c_lessequals @ A @ D @ ( tc_set @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).

thf(70,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ ( c_union @ A @ B @ C ) @ D @ ( tc_set @ C ) )
      | ( c_lessequals @ A @ D @ ( tc_set @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(2,negated_conjecture,
    ( ( c_inter @ v_a @ v_t @ t_a )
    = c_emptyset ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(33,plain,
    ( ( c_inter @ v_a @ v_t @ t_a )
    = c_emptyset ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(9,axiom,
    ! [B: $i,A: $i] :
      ( ( c_union @ A @ c_emptyset @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).

thf(45,plain,
    ! [B: $i,A: $i] :
      ( ( c_union @ A @ c_emptyset @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(19,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
      | ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

thf(64,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
      | ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(6,negated_conjecture,
    ( ( c_in @ ( c_union @ v_t @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) )
    | ( ( c_inter @ v_t @ v_u @ t_a )
     != c_emptyset )
    | ~ ( c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

thf(32,plain,
    ( ( c_in @ ( c_union @ v_t @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) )
    | ( ( c_inter @ v_t @ v_u @ t_a )
     != c_emptyset )
    | ~ ( c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(3,negated_conjecture,
    c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(34,plain,
    c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(27,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) )
      | ( B = A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

thf(80,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) )
      | ( B = A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(4,negated_conjecture,
    ( ( c_inter @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a )
    = c_emptyset ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

thf(35,plain,
    ( ( c_inter @ ( c_union @ v_a @ v_t @ t_a ) @ v_u @ t_a )
    = c_emptyset ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(11,axiom,
    ! [B: $i,A: $i] :
      ( ( c_inter @ c_UNIV @ A @ B )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInt__UNIV__left_0) ).

thf(50,plain,
    ! [B: $i,A: $i] :
      ( ( c_inter @ c_UNIV @ A @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(1,negated_conjecture,
    c_in @ v_a @ v_A @ ( tc_set @ t_a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(31,plain,
    c_in @ v_a @ v_A @ ( tc_set @ t_a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(23,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_union @ A @ ( c_minus @ B @ A @ ( tc_set @ C ) ) @ C )
      = ( c_union @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).

thf(72,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_union @ A @ ( c_minus @ B @ A @ ( tc_set @ C ) ) @ C )
      = ( c_union @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(8,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Relation_OImage @ ( c_Relation_Odiag @ A @ B ) @ C @ B @ B )
      = ( c_inter @ A @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__diag_0) ).

thf(43,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Relation_OImage @ ( c_Relation_Odiag @ A @ B ) @ C @ B @ B )
      = ( c_inter @ A @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(10,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_in @ D @ ( c_Mutil_Otiling @ B @ C ) @ ( tc_set @ C ) )
      | ( ( c_inter @ A @ D @ C )
       != c_emptyset )
      | ( c_in @ ( c_union @ A @ D @ C ) @ ( c_Mutil_Otiling @ B @ C ) @ ( tc_set @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Mutil_Otiling_OUn_0) ).

thf(47,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_in @ D @ ( c_Mutil_Otiling @ B @ C ) @ ( tc_set @ C ) )
      | ( ( c_inter @ A @ D @ C )
       != c_emptyset )
      | ( c_in @ ( c_union @ A @ D @ C ) @ ( c_Mutil_Otiling @ B @ C ) @ ( tc_set @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(21,axiom,
    ! [B: $i,A: $i] :
      ( ( c_union @ c_UNIV @ A @ B )
      = c_UNIV ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__UNIV__left_0) ).

thf(68,plain,
    ! [B: $i,A: $i] :
      ( ( c_union @ c_UNIV @ A @ B )
      = c_UNIV ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(45308,plain,
    $false,
    inference(cvc4,[status(thm)],[56,52,78,41,54,76,66,63,58,30,83,61,74,60,85,70,33,45,64,32,34,80,35,50,31,72,43,47,68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May 18 20:16:21 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.84/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.11/0.99  % [INFO] 	 Parsing done (123ms). 
% 1.11/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.73/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.73/1.20  % [INFO] 	 cvc4 registered as external prover. 
% 1.78/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.86/1.27  % [INFO] 	 Found a conjecture and 23 axioms. Running axiom selection ... 
% 1.86/1.32  % [INFO] 	 Axiom selection finished. Selected 23 axioms (removed 0 axioms). 
% 2.13/1.34  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.13/1.35  % [INFO] 	 Type checking passed. 
% 2.13/1.35  % [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 ... 
% 79.84/19.25  % External prover 'cvc4' found a proof!
% 79.84/19.25  % [INFO] 	 Killing All external provers ... 
% 79.84/19.26  % Time passed: 18755ms (effective reasoning time: 18258ms)
% 79.84/19.26  % 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)>
% 79.84/19.26  % Axioms used in derivation (23): cls_Set_OInt__UNIV__left_0, cls_Set_Osubset__refl_0, cls_Set_OUn__Diff__cancel2_0, cls_Set_OsubsetI_0, cls_Set_Osubset__antisym_0, cls_Set_OCompl__Diff__eq_0, cls_Set_OCompl__UNIV__eq_0, cls_Set_ODiff__Compl_0, cls_Set_OUn__Diff__cancel_0, cls_Mutil_Otiling_OUn_0, cls_Set_OUn__subset__iff_1, cls_Set_Odouble__complement_0, cls_Set_OUn__subset__iff_2, cls_Set_OUn__UNIV__left_0, cls_Set_Oempty__subsetI_0, cls_Set_OUn__subset__iff_0, cls_Set_Oempty__iff_0, cls_Set_OInt__iff_1, cls_Set_OUn__empty__left_0, cls_Set_OUn__empty__right_0, cls_Set_OUn__assoc_0, cls_Set_OUn__absorb_0, cls_Relation_OImage__diag_0
% 79.84/19.26  % No. of inferences in proof: 59
% 79.84/19.26  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 18755 ms resp. 18258 ms w/o parsing
% 79.84/19.29  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 79.84/19.29  % [INFO] 	 Killing All external provers ... 
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