TSTP Solution File: LCL041-1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n009.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 11:29:13 EDT 2023

% Result   : Unsatisfiable 7.07s 2.37s
% Output   : Refutation 7.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   82 (  45 unt;   5 typ;   0 def)
%            Number of atoms       :  161 (  74 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  734 (  99   ~;  48   |;   0   &; 587   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :  150 (   0   ^; 150   !;   0   ?; 150   :)

% Comments : 
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(a_type,type,
    a: $i ).

thf(b_type,type,
    b: $i ).

thf(not_type,type,
    not: $i > $i ).

thf(4,axiom,
    ! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

thf(13,plain,
    ! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(1,negated_conjecture,
    ~ ( is_a_theorem @ ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_30) ).

thf(8,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(9,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ),
    inference(polarity_switch,[status(thm)],[8]) ).

thf(17,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) )
     != ( is_a_theorem @ ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,9]) ).

thf(18,plain,
    ! [B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ B @ A ) )
     != ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[17]) ).

thf(21,plain,
    ! [B: $i,A: $i] :
      ( ( A
       != ( implies @ a @ ( implies @ a @ b ) ) )
      | ( ( implies @ B @ A )
       != ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[18]) ).

thf(22,plain,
    ! [A: $i] :
      ( ( implies @ A @ ( implies @ a @ ( implies @ a @ b ) ) )
     != ( implies @ a @ b ) ),
    inference(simp,[status(thm)],[21]) ).

thf(23,plain,
    ! [A: $i] :
      ( ( A != a )
      | ( ( implies @ a @ ( implies @ a @ b ) )
       != b ) ),
    inference(simp,[status(thm)],[22]) ).

thf(24,plain,
    ( ( implies @ a @ ( implies @ a @ b ) )
   != b ),
    inference(simp,[status(thm)],[23]) ).

thf(5,axiom,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ ( implies @ B @ C ) ) @ ( implies @ B @ ( implies @ A @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_21) ).

thf(14,plain,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ ( implies @ B @ C ) ) @ ( implies @ B @ ( implies @ A @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ ( implies @ A @ B ) )
      | ~ ( is_a_theorem @ A )
      | ( is_a_theorem @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

thf(10,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ ( implies @ A @ B ) )
      | ~ ( is_a_theorem @ A )
      | ( is_a_theorem @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(11,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ ( implies @ A @ B ) )
      | ~ ( is_a_theorem @ A )
      | ( is_a_theorem @ B ) ),
    inference(cnf,[status(esa)],[10]) ).

thf(31,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( is_a_theorem @ C )
      | ( is_a_theorem @ D )
      | ( ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) )
       != ( is_a_theorem @ ( implies @ C @ D ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,11]) ).

thf(32,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ B )
      | ( is_a_theorem @ ( implies @ A @ B ) ) ),
    inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( implies @ E @ F ))]]) ).

thf(46,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ B )
      | ( is_a_theorem @ ( implies @ A @ B ) ) ),
    inference(simp,[status(thm)],[32]) ).

thf(109,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ C @ D ) )
      | ( ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) )
       != ( is_a_theorem @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[13,46]) ).

thf(110,plain,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ C @ ( implies @ B @ C ) ) ) ),
    inference(pattern_uni,[status(thm)],[109:[bind(A,$thf( H )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( implies @ H @ ( implies @ G @ H ) ))]]) ).

thf(129,plain,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ C @ ( implies @ B @ C ) ) ) ),
    inference(simp,[status(thm)],[110]) ).

thf(107,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ B )
      | ( ( is_a_theorem @ ( implies @ A @ B ) )
       != ( is_a_theorem @ ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[46,9]) ).

thf(108,plain,
    ~ ( is_a_theorem @ ( implies @ a @ b ) ),
    inference(pattern_uni,[status(thm)],[107:[bind(A,$thf( implies @ a @ ( implies @ a @ b ) )),bind(B,$thf( implies @ a @ b ))]]) ).

thf(134,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ B )
      | ( ( is_a_theorem @ ( implies @ A @ B ) )
       != ( is_a_theorem @ ( implies @ a @ b ) ) ) ),
    inference(paramod_ordered,[status(thm)],[46,108]) ).

thf(135,plain,
    ~ ( is_a_theorem @ b ),
    inference(pattern_uni,[status(thm)],[134:[bind(A,$thf( a )),bind(B,$thf( b ))]]) ).

thf(198,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ A @ ( implies @ C @ ( implies @ B @ C ) ) ) )
     != ( is_a_theorem @ b ) ),
    inference(paramod_ordered,[status(thm)],[129,135]) ).

thf(211,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ C @ ( implies @ B @ C ) ) )
     != b ),
    inference(simp,[status(thm)],[198]) ).

thf(43,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ A )
      | ( is_a_theorem @ B )
      | ( ( is_a_theorem @ ( implies @ A @ B ) )
       != ( is_a_theorem @ A ) )
      | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[11]) ).

thf(45,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ B )
      | ~ ( is_a_theorem @ A )
      | ( ( implies @ A @ B )
       != A ) ),
    inference(simp,[status(thm)],[43]) ).

thf(3,axiom,
    ! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

thf(12,plain,
    ! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(111,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ C @ D ) )
      | ( ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) )
       != ( is_a_theorem @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[12,46]) ).

thf(112,plain,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ C @ ( implies @ ( not @ C ) @ B ) ) ) ),
    inference(pattern_uni,[status(thm)],[111:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( C )),bind(D,$thf( implies @ I @ ( implies @ ( not @ I ) @ H ) ))]]) ).

thf(123,plain,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ C @ ( implies @ ( not @ C ) @ B ) ) ) ),
    inference(simp,[status(thm)],[112]) ).

thf(7,axiom,
    ! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ ( not @ A ) @ B ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).

thf(16,plain,
    ! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ ( not @ A ) @ B ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(146,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ B )
      | ( ( is_a_theorem @ ( implies @ A @ B ) )
       != ( is_a_theorem @ b ) ) ),
    inference(paramod_ordered,[status(thm)],[46,135]) ).

thf(153,plain,
    ! [B: $i,A: $i] :
      ( ~ ( is_a_theorem @ B )
      | ( ( implies @ A @ B )
       != b ) ),
    inference(simp,[status(thm)],[146]) ).

thf(223,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( is_a_theorem @ B )
      | ( ( implies @ C @ D )
       != b )
      | ( ( is_a_theorem @ ( implies @ A @ B ) )
       != ( is_a_theorem @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[46,153]) ).

thf(224,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( is_a_theorem @ C )
      | ( ( implies @ A @ ( implies @ B @ C ) )
       != b ) ),
    inference(pattern_uni,[status(thm)],[223:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( C )),bind(D,$thf( implies @ E @ F ))]]) ).

thf(231,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( is_a_theorem @ C )
      | ( ( implies @ A @ ( implies @ B @ C ) )
       != b ) ),
    inference(simp,[status(thm)],[224]) ).

thf(19,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) )
     != ( is_a_theorem @ ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ) ),
    inference(paramod_ordered,[status(thm)],[12,9]) ).

thf(20,plain,
    ! [B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ ( not @ A ) @ B ) )
     != ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[19]) ).

thf(27,plain,
    ! [B: $i,A: $i] :
      ( ( A
       != ( implies @ a @ ( implies @ a @ b ) ) )
      | ( ( implies @ ( not @ A ) @ B )
       != ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[20]) ).

thf(28,plain,
    ! [A: $i] :
      ( ( implies @ ( not @ ( implies @ a @ ( implies @ a @ b ) ) ) @ A )
     != ( implies @ a @ b ) ),
    inference(simp,[status(thm)],[27]) ).

thf(29,plain,
    ! [A: $i] :
      ( ( ( not @ ( implies @ a @ ( implies @ a @ b ) ) )
       != a )
      | ( A != b ) ),
    inference(simp,[status(thm)],[28]) ).

thf(30,plain,
    ( ( not @ ( implies @ a @ ( implies @ a @ b ) ) )
   != a ),
    inference(simp,[status(thm)],[29]) ).

thf(131,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) )
     != ( is_a_theorem @ ( implies @ a @ b ) ) ),
    inference(paramod_ordered,[status(thm)],[13,108]) ).

thf(138,plain,
    ! [B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ B @ A ) )
     != ( implies @ a @ b ) ),
    inference(simp,[status(thm)],[131]) ).

thf(194,plain,
    ! [B: $i,A: $i] :
      ( ( A != a )
      | ( ( implies @ B @ A )
       != b ) ),
    inference(simp,[status(thm)],[138]) ).

thf(195,plain,
    ! [A: $i] :
      ( ( implies @ A @ a )
     != b ),
    inference(simp,[status(thm)],[194]) ).

thf(25,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ ( not @ A ) @ B ) @ B ) ) )
     != ( is_a_theorem @ ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ) ),
    inference(paramod_ordered,[status(thm)],[16,9]) ).

thf(26,plain,
    ! [B: $i,A: $i] :
      ( ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ ( not @ A ) @ B ) @ B ) )
     != ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[25]) ).

thf(68,plain,
    ! [B: $i,A: $i] :
      ( ( ( implies @ A @ B )
       != ( implies @ a @ ( implies @ a @ b ) ) )
      | ( ( implies @ ( implies @ ( not @ A ) @ B ) @ B )
       != ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[26]) ).

thf(71,plain,
    ! [B: $i,A: $i] :
      ( ( A != a )
      | ( B
       != ( implies @ a @ b ) )
      | ( ( implies @ ( not @ A ) @ B )
       != a )
      | ( B != b ) ),
    inference(simp,[status(thm)],[68]) ).

thf(90,plain,
    ( ( ( implies @ ( not @ a ) @ ( implies @ a @ b ) )
     != a )
    | ( ( implies @ a @ b )
     != b ) ),
    inference(simp,[status(thm)],[71]) ).

thf(69,plain,
    ! [B: $i,A: $i] :
      ( ( A != a )
      | ( B
       != ( implies @ a @ b ) )
      | ( ( implies @ ( implies @ ( not @ A ) @ B ) @ B )
       != ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[68]) ).

thf(88,plain,
    ( ( implies @ ( implies @ ( not @ a ) @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) )
   != ( implies @ a @ b ) ),
    inference(simp,[status(thm)],[69]) ).

thf(73,plain,
    ! [B: $i,A: $i] :
      ( ( ( implies @ A @ B )
       != ( implies @ a @ ( implies @ a @ b ) ) )
      | ( ( implies @ ( implies @ ( not @ A ) @ B ) @ B )
       != ( implies @ a @ ( implies @ a @ b ) ) )
      | ( ( implies @ a @ b )
       != ( implies @ A @ B ) ) ),
    inference(eqfactor_ordered,[status(thm)],[68]) ).

thf(76,plain,
    ! [B: $i,A: $i] :
      ( ( A != a )
      | ( B
       != ( implies @ a @ b ) )
      | ( ( implies @ ( not @ A ) @ B )
       != a )
      | ( B
       != ( implies @ a @ b ) )
      | ( ( implies @ a @ b )
       != ( implies @ A @ B ) ) ),
    inference(simp,[status(thm)],[73]) ).

thf(93,plain,
    ( ( ( implies @ ( not @ a ) @ ( implies @ a @ b ) )
     != a )
    | ( ( implies @ a @ ( implies @ a @ b ) )
     != ( implies @ a @ b ) ) ),
    inference(simp,[status(thm)],[76]) ).

thf(143,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) )
     != ( is_a_theorem @ b ) ),
    inference(paramod_ordered,[status(thm)],[13,135]) ).

thf(152,plain,
    ! [B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ B @ A ) )
     != b ),
    inference(simp,[status(thm)],[143]) ).

thf(132,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) )
     != ( is_a_theorem @ ( implies @ a @ b ) ) ),
    inference(paramod_ordered,[status(thm)],[12,108]) ).

thf(139,plain,
    ! [B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ ( not @ A ) @ B ) )
     != ( implies @ a @ b ) ),
    inference(simp,[status(thm)],[132]) ).

thf(259,plain,
    ! [B: $i,A: $i] :
      ( ( A != a )
      | ( ( implies @ ( not @ A ) @ B )
       != b ) ),
    inference(simp,[status(thm)],[139]) ).

thf(260,plain,
    ! [A: $i] :
      ( ( implies @ ( not @ a ) @ A )
     != b ),
    inference(simp,[status(thm)],[259]) ).

thf(44,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ B )
      | ~ ( is_a_theorem @ A )
      | ( ( is_a_theorem @ ( implies @ A @ B ) )
       != ( is_a_theorem @ A ) ) ),
    inference(simp,[status(thm)],[43]) ).

thf(219,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( implies @ C @ D )
       != b )
      | ( ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) )
       != ( is_a_theorem @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[12,153]) ).

thf(220,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ C @ ( implies @ ( not @ C ) @ B ) ) )
     != b ),
    inference(pattern_uni,[status(thm)],[219:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( C )),bind(D,$thf( implies @ I @ ( implies @ ( not @ I ) @ H ) ))]]) ).

thf(236,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ C @ ( implies @ ( not @ C ) @ B ) ) )
     != b ),
    inference(simp,[status(thm)],[220]) ).

thf(144,plain,
    ! [B: $i,A: $i] :
      ( ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) )
     != ( is_a_theorem @ b ) ),
    inference(paramod_ordered,[status(thm)],[12,135]) ).

thf(150,plain,
    ! [B: $i,A: $i] :
      ( ( implies @ A @ ( implies @ ( not @ A ) @ B ) )
     != b ),
    inference(simp,[status(thm)],[144]) ).

thf(6,axiom,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ C @ A ) @ ( implies @ C @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_22) ).

thf(15,plain,
    ! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ C @ A ) @ ( implies @ C @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(402,plain,
    $false,
    inference(e,[status(thm)],[24,14,211,9,45,108,135,123,16,11,231,8,30,195,90,138,88,10,153,20,46,93,152,260,28,13,129,22,44,12,236,18,150,26,139,15,68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 15:42:33 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.89/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.24/0.94  % [INFO] 	 Parsing done (106ms). 
% 1.24/0.95  % [INFO] 	 Running in sequential loop mode. 
% 1.51/1.14  % [INFO] 	 eprover registered as external prover. 
% 1.51/1.15  % [INFO] 	 cvc4 registered as external prover. 
% 1.51/1.15  % [INFO] 	 Scanning for conjecture ... 
% 1.76/1.20  % [INFO] 	 Found a conjecture and 6 axioms. Running axiom selection ... 
% 1.76/1.22  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 0 axioms). 
% 1.87/1.23  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.87/1.23  % [INFO] 	 Type checking passed. 
% 1.87/1.23  % [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 ... 
% 7.07/2.36  % External prover 'e' found a proof!
% 7.07/2.36  % [INFO] 	 Killing All external provers ... 
% 7.07/2.36  % Time passed: 1850ms (effective reasoning time: 1413ms)
% 7.07/2.36  % 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)>
% 7.07/2.37  % Axioms used in derivation (6): cn_21, condensed_detachment, cn_54, cn_18, cn_22, cn_3
% 7.07/2.37  % No. of inferences in proof: 77
% 7.07/2.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1850 ms resp. 1413 ms w/o parsing
% 7.10/2.40  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.10/2.40  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------