TSTP Solution File: SET839-2 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SET839-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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 May 21 03:07:07 EDT 2024

% Result   : Unsatisfiable 25.00s 5.17s
% Output   : Refutation 25.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   49 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :  122 (  23 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  733 (  40   ~;  69   |;   0   &; 624   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :  112 (   0   ^ 112   !;   0   ?; 112   :)

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

thf(v_S_type,type,
    v_S: $i ).

thf(c_insert_type,type,
    c_insert: $i > $i > $i > $i ).

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

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

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

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

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

thf(1,negated_conjecture,
    ! [A: $i] :
      ~ ( c_lessequals @ v_S @ ( c_insert @ A @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(7,plain,
    ! [A: $i] :
      ~ ( c_lessequals @ v_S @ ( c_insert @ A @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(9,plain,
    ! [A: $i] :
      ~ ( c_lessequals @ v_S @ ( c_insert @ A @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(4,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(12,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)],[4]) ).

thf(13,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(cnf,[status(esa)],[12]) ).

thf(2,negated_conjecture,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
      | ~ ( c_in @ B @ v_S @ ( tc_set @ t_a ) )
      | ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(8,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
      | ~ ( c_in @ B @ v_S @ ( tc_set @ t_a ) )
      | ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(10,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
      | ~ ( c_in @ B @ v_S @ ( tc_set @ t_a ) )
      | ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(26,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ( c_lessequals @ D @ E @ ( tc_set @ t_a ) )
      | ~ ( c_in @ D @ v_S @ ( tc_set @ t_a ) )
      | ( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
       != ( c_in @ E @ v_S @ ( tc_set @ t_a ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,10]) ).

thf(27,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ A @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
      | ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
    inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( v_S )),bind(B,$thf( G )),bind(C,$thf( tc_set @ t_a )),bind(D,$thf( D )),bind(E,$thf( c_Main_OsubsetI__1 @ v_S @ G @ ( tc_set @ t_a ) ))]]) ).

thf(40,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ A @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
      | ~ ( c_in @ A @ v_S @ ( tc_set @ t_a ) ) ),
    inference(simp,[status(thm)],[27]) ).

thf(508,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ( c_lessequals @ v_S @ E @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ D @ ( c_Main_OsubsetI__1 @ v_S @ E @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
      | ( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
       != ( c_in @ D @ v_S @ ( tc_set @ t_a ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,40]) ).

thf(509,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
    inference(pattern_uni,[status(thm)],[508:[bind(A,$thf( v_S )),bind(B,$thf( G )),bind(C,$thf( tc_set @ t_a )),bind(D,$thf( c_Main_OsubsetI__1 @ v_S @ G @ ( tc_set @ t_a ) )),bind(E,$thf( E ))]]) ).

thf(619,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
    inference(simp,[status(thm)],[509]) ).

thf(6,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(16,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)],[6]) ).

thf(17,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) )
      | ( B = A ) ),
    inference(cnf,[status(esa)],[16]) ).

thf(18,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B = A )
      | ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
      | ~ ( c_lessequals @ B @ A @ ( tc_set @ C ) ) ),
    inference(lifteq,[status(thm)],[17]) ).

thf(1594,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( D = C )
      | ~ ( c_lessequals @ D @ C @ ( tc_set @ E ) )
      | ( ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
       != ( c_lessequals @ C @ D @ ( tc_set @ E ) ) ) ),
    inference(paramod_ordered,[status(thm)],[619,18]) ).

thf(1595,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
        = ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) )
      | ~ ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
    inference(pattern_uni,[status(thm)],[1594:[bind(A,$thf( K )),bind(B,$thf( G )),bind(C,$thf( c_Main_OsubsetI__1 @ v_S @ G @ ( tc_set @ t_a ) )),bind(D,$thf( c_Main_OsubsetI__1 @ v_S @ K @ ( tc_set @ t_a ) )),bind(E,$thf( t_a ))]]) ).

thf(1678,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
        = ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) )
      | ~ ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ),
    inference(simp,[status(thm)],[1595]) ).

thf(2084,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ C @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ D @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( ( c_Main_OsubsetI__1 @ v_S @ D @ ( tc_set @ t_a ) )
        = ( c_Main_OsubsetI__1 @ v_S @ C @ ( tc_set @ t_a ) ) )
      | ( ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) )
       != ( c_lessequals @ ( c_Main_OsubsetI__1 @ v_S @ D @ ( tc_set @ t_a ) ) @ ( c_Main_OsubsetI__1 @ v_S @ C @ ( tc_set @ t_a ) ) @ ( tc_set @ t_a ) ) ) ),
    inference(paramod_ordered,[status(thm)],[619,1678]) ).

thf(2085,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
        = ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) ) ),
    inference(pattern_uni,[status(thm)],[2084:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).

thf(2245,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
        = ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) ) ),
    inference(simp,[status(thm)],[2085]) ).

thf(3,axiom,
    ! [C: $i,B: $i,A: $i] : ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

thf(11,plain,
    ! [C: $i,B: $i,A: $i] : ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
      | ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

thf(14,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
      | ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(15,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
      | ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
    inference(cnf,[status(esa)],[14]) ).

thf(19,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ D @ E @ ( tc_set @ F ) )
      | ( ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C )
       != ( c_in @ ( c_Main_OsubsetI__1 @ D @ E @ F ) @ E @ F ) ) ),
    inference(paramod_ordered,[status(thm)],[11,15]) ).

thf(22,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ D @ E @ ( tc_set @ F ) )
      | ( A
       != ( c_Main_OsubsetI__1 @ D @ E @ F ) )
      | ( ( c_insert @ A @ B @ C )
       != E )
      | ( C != F ) ),
    inference(simp,[status(thm)],[19]) ).

thf(24,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ B @ C @ ( tc_set @ D ) )
      | ( ( c_insert @ ( c_Main_OsubsetI__1 @ B @ C @ D ) @ A @ D )
       != C ) ),
    inference(simp,[status(thm)],[22]) ).

thf(2601,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ D @ E @ ( tc_set @ F ) )
      | ( ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ C @ F )
       != E )
      | ( ( c_Main_OsubsetI__1 @ v_S @ B @ ( tc_set @ t_a ) )
       != ( c_Main_OsubsetI__1 @ D @ E @ F ) ) ),
    inference(paramod_ordered,[status(thm)],[2245,24]) ).

thf(2602,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ B @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ C @ ( tc_set @ t_a ) )
       != B ) ),
    inference(pattern_uni,[status(thm)],[2601:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( v_S )),bind(E,$thf( B )),bind(F,$thf( tc_set @ t_a ))]]) ).

thf(2680,plain,
    ! [B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) ) ),
    inference(simp,[status(thm)],[2602]) ).

thf(2940,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) )
      | ( ( c_lessequals @ v_S @ ( c_insert @ ( c_Main_OsubsetI__1 @ v_S @ A @ ( tc_set @ t_a ) ) @ B @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) )
       != ( c_lessequals @ v_S @ ( c_insert @ C @ c_emptyset @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[2680,9]) ).

thf(2941,plain,
    ! [A: $i] : ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) ),
    inference(pattern_uni,[status(thm)],[2940:[bind(A,$thf( E )),bind(B,$thf( c_emptyset )),bind(C,$thf( c_Main_OsubsetI__1 @ v_S @ E @ ( tc_set @ t_a ) ))]]) ).

thf(3033,plain,
    ! [A: $i] : ( c_lessequals @ v_S @ A @ ( tc_set @ ( tc_set @ t_a ) ) ),
    inference(simp,[status(thm)],[2941]) ).

thf(3116,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[9,3033]) ).

thf(3117,plain,
    $false,
    inference(simp,[status(thm)],[3116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : SET839-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.11  % Command  : run_Leo-III %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Mon May 20 12:24:24 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.82/0.80  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.02/0.90  % [INFO] 	 Parsing done (104ms). 
% 1.02/0.91  % [INFO] 	 Running in sequential loop mode. 
% 1.54/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.54/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.68/1.27  % [INFO] 	 Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ... 
% 1.68/1.31  % [INFO] 	 Axiom selection finished. Selected 4 axioms (removed 0 axioms). 
% 1.82/1.32  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.82/1.32  % [INFO] 	 Type checking passed. 
% 1.82/1.32  % [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 ... 
% 25.00/5.12  % [INFO] 	 Killing All external provers ... 
% 25.00/5.13  % Time passed: 4684ms (effective reasoning time: 4208ms)
% 25.00/5.17  % Axioms used in derivation (4): cls_Set_OsubsetI_0, cls_Set_Osubset__antisym_0, cls_Set_OinsertCI_1, cls_Set_OsubsetI_1
% 25.00/5.17  % No. of inferences in proof: 41
% 25.00/5.17  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4684 ms resp. 4208 ms w/o parsing
% 25.18/5.24  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 25.18/5.24  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------