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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : LCL341-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:51:32 AM UTC 2026

% Result   : Unsatisfiable 19.53s 6.41s
% Output   : Refutation 16.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   72 (  48 unt;   0 typ;   0 def)
%            Number of atoms       :  124 (  29 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  584 (  36   ~;  34   |;   0   &; 514   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  151 (   0   ^; 151   !;   0   ?; 151   :)

% Comments : 
%------------------------------------------------------------------------------
thf(theorem_decl,type,
    theorem: $i > $o ).

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

thf(p_decl,type,
    p: $i ).

thf(equivalent_decl,type,
    equivalent: $i > $i > $i ).

thf(q_decl,type,
    q: $i ).

thf(axiom_decl,type,
    axiom: $i > $o ).

thf(or_decl,type,
    or: $i > $i > $i ).

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

thf(and_decl,type,
    and: $i > $i > $i ).

thf(2,axiom,
    ! [A: $i] : ( A @ ( A @ ( A @ or ) @ implies ) @ axiom ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

thf(14,plain,
    ! [A: $i] : ( A @ ( A @ ( A @ or ) @ implies ) @ axiom ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ implies ) )
      = ( B @ ( A @ not @ or ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

thf(19,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ implies ) )
      = ( B @ ( A @ not @ or ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

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

thf(10,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) )
      = ( B @ not @ ( A @ not @ or ) @ not ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).

thf(25,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) )
      = ( B @ not @ ( A @ not @ or ) @ not ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(26,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) )
      = ( B @ not @ ( A @ not @ or ) @ not ) ),
    inference(lifteq,[status(thm)],[25]) ).

thf(179,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ and ) )
      = ( B @ not @ ( A @ implies ) @ not ) ),
    inference(rewrite,[status(thm)],[26,20]) ).

thf(4,axiom,
    ! [B: $i,A: $i] : ( A @ ( B @ or ) @ ( B @ ( A @ or ) @ implies ) @ axiom ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

thf(16,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ or ) @ ( B @ ( A @ or ) @ implies ) @ axiom ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ~ ( A @ axiom )
      | ( A @ theorem ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

thf(21,plain,
    ! [A: $i] :
      ( ~ ( A @ axiom )
      | ( A @ theorem ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(22,plain,
    ! [A: $i] :
      ( ~ ( A @ axiom )
      | ( A @ theorem ) ),
    inference(cnf,[status(esa)],[21]) ).

thf(72,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( B @ or ) @ ( B @ ( A @ or ) @ implies ) @ axiom )
       != ( C @ axiom ) )
      | ~ $true
      | ( C @ theorem ) ),
    inference(paramod_ordered,[status(thm)],[16,22]) ).

thf(73,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( B @ or ) @ ( B @ ( A @ or ) @ implies ) @ axiom )
       != ( C @ axiom ) )
      | ( C @ theorem ) ),
    inference(simp,[status(thm)],[72]) ).

thf(74,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ or ) @ ( A @ ( B @ or ) @ implies ) @ theorem ),
    inference(pattern_uni,[status(thm)],[73:[bind(A,$thf( I )),bind(B,$thf( H )),bind(C,$thf( I @ ( H @ or ) @ ( H @ ( I @ or ) @ implies ) ))]]) ).

thf(77,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ or ) @ ( A @ ( B @ or ) @ implies ) @ theorem ),
    inference(simp,[status(thm)],[74]) ).

thf(70,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( D @ ( C @ or ) ) )
      | ( C @ ( D @ or ) @ ( B @ ( A @ implies ) @ implies ) @ axiom ) ),
    inference(paramod_ordered,[status(thm)],[20,16]) ).

thf(71,plain,
    ! [B: $i,A: $i] : ( B @ not @ ( A @ or ) @ ( A @ ( B @ implies ) @ implies ) @ axiom ),
    inference(pattern_uni,[status(thm)],[70:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( E @ not )),bind(D,$thf( B ))]]) ).

thf(76,plain,
    ! [B: $i,A: $i] : ( B @ not @ ( A @ or ) @ ( A @ ( B @ implies ) @ implies ) @ axiom ),
    inference(simp,[status(thm)],[71]) ).

thf(9,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( B @ theorem )
      | ~ ( A @ ( B @ implies ) @ theorem )
      | ( A @ theorem ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

thf(23,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ theorem )
      | ~ ( A @ ( B @ implies ) @ theorem )
      | ( A @ theorem ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(68,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( C @ ( D @ or ) ) )
      | ( B @ ( A @ implies ) @ ( D @ ( C @ or ) @ implies ) @ axiom ) ),
    inference(paramod_ordered,[status(thm)],[20,16]) ).

thf(69,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ or ) @ implies ) @ axiom ),
    inference(pattern_uni,[status(thm)],[68:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( E @ not ))]]) ).

thf(75,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ or ) @ implies ) @ axiom ),
    inference(simp,[status(thm)],[69]) ).

thf(160,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( D @ ( C @ or ) ) )
      | ( B @ ( A @ implies ) @ ( C @ ( D @ or ) @ implies ) @ theorem ) ),
    inference(paramod_ordered,[status(thm)],[20,77]) ).

thf(161,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ or ) @ implies ) @ theorem ),
    inference(pattern_uni,[status(thm)],[160:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( E @ not )),bind(D,$thf( B ))]]) ).

thf(174,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ or ) @ implies ) @ theorem ),
    inference(simp,[status(thm)],[161]) ).

thf(180,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( D @ not @ ( C @ or ) ) )
      | ( C @ ( D @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ axiom ) ),
    inference(paramod_ordered,[status(thm)],[20,75]) ).

thf(181,plain,
    ! [B: $i,A: $i] : ( A @ not @ ( B @ implies ) @ ( B @ not @ ( A @ implies ) @ implies ) @ axiom ),
    inference(pattern_uni,[status(thm)],[180:[bind(A,$thf( E )),bind(B,$thf( F @ not )),bind(C,$thf( E @ not )),bind(D,$thf( F ))]]) ).

thf(185,plain,
    ! [B: $i,A: $i] : ( A @ not @ ( B @ implies ) @ ( B @ not @ ( A @ implies ) @ implies ) @ axiom ),
    inference(simp,[status(thm)],[181]) ).

thf(24,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ theorem )
      | ~ ( A @ ( B @ implies ) @ theorem )
      | ( A @ theorem ) ),
    inference(cnf,[status(esa)],[23]) ).

thf(35,plain,
    ! [B: $i,A: $i] :
      ( ~ $true
      | ( ( A @ ( B @ implies ) @ theorem )
       != ( B @ theorem ) )
      | ~ ( B @ theorem )
      | ( A @ theorem ) ),
    inference(eqfactor_ordered,[status(thm)],[24]) ).

thf(37,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( B @ implies ) )
       != B )
      | ~ ( B @ theorem )
      | ( A @ theorem ) ),
    inference(simp,[status(thm)],[35]) ).

thf(3,axiom,
    ! [B: $i,A: $i] : ( A @ ( B @ or ) @ ( A @ implies ) @ axiom ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

thf(15,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ or ) @ ( A @ implies ) @ axiom ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(31,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( C @ ( D @ or ) ) )
      | ( B @ ( A @ implies ) @ ( C @ implies ) @ axiom ) ),
    inference(paramod_ordered,[status(thm)],[20,15]) ).

thf(32,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( A @ implies ) @ axiom ),
    inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( E @ not ))]]) ).

thf(33,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( A @ implies ) @ axiom ),
    inference(simp,[status(thm)],[32]) ).

thf(29,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( C @ ( C @ or ) ) )
      | ( C @ ( B @ ( A @ implies ) @ implies ) @ axiom ) ),
    inference(paramod_ordered,[status(thm)],[20,14]) ).

thf(30,plain,
    ! [A: $i] : ( A @ not @ ( A @ not @ ( A @ implies ) @ implies ) @ axiom ),
    inference(pattern_uni,[status(thm)],[29:[bind(A,$thf( E )),bind(B,$thf( E @ not )),bind(C,$thf( E @ not ))]]) ).

thf(34,plain,
    ! [A: $i] : ( A @ not @ ( A @ not @ ( A @ implies ) @ implies ) @ axiom ),
    inference(simp,[status(thm)],[30]) ).

thf(11,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ equivalent ) )
      = ( A @ ( B @ implies ) @ ( B @ ( A @ implies ) @ and ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).

thf(27,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ equivalent ) )
      = ( A @ ( B @ implies ) @ ( B @ ( A @ implies ) @ and ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(28,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ implies ) @ ( B @ ( A @ implies ) @ and ) )
      = ( B @ ( A @ equivalent ) ) ),
    inference(lifteq,[status(thm)],[27]) ).

thf(264,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ equivalent ) )
      = ( A @ ( B @ implies ) @ not @ ( B @ ( A @ implies ) @ implies ) @ not ) ),
    inference(rewrite,[status(thm)],[28,179]) ).

thf(38,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ ( A @ or ) @ implies ) @ axiom )
       != ( B @ axiom ) )
      | ~ $true
      | ( B @ theorem ) ),
    inference(paramod_ordered,[status(thm)],[14,22]) ).

thf(39,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( A @ ( A @ or ) @ implies ) @ axiom )
       != ( B @ axiom ) )
      | ( B @ theorem ) ),
    inference(simp,[status(thm)],[38]) ).

thf(40,plain,
    ! [A: $i] : ( A @ ( A @ ( A @ or ) @ implies ) @ theorem ),
    inference(pattern_uni,[status(thm)],[39:[bind(A,$thf( D )),bind(B,$thf( D @ ( D @ ( D @ or ) @ implies ) ))]]) ).

thf(47,plain,
    ! [A: $i] : ( A @ ( A @ ( A @ or ) @ implies ) @ theorem ),
    inference(simp,[status(thm)],[40]) ).

thf(50,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( C @ ( C @ or ) ) )
      | ( C @ ( B @ ( A @ implies ) @ implies ) @ theorem ) ),
    inference(paramod_ordered,[status(thm)],[20,47]) ).

thf(51,plain,
    ! [A: $i] : ( A @ not @ ( A @ not @ ( A @ implies ) @ implies ) @ theorem ),
    inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( E )),bind(B,$thf( E @ not )),bind(C,$thf( E @ not ))]]) ).

thf(64,plain,
    ! [A: $i] : ( A @ not @ ( A @ not @ ( A @ implies ) @ implies ) @ theorem ),
    inference(simp,[status(thm)],[51]) ).

thf(5,axiom,
    ! [C: $i,B: $i,A: $i] : ( C @ ( A @ or ) @ ( B @ or ) @ ( C @ ( B @ or ) @ ( A @ or ) @ implies ) @ axiom ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

thf(17,plain,
    ! [C: $i,B: $i,A: $i] : ( C @ ( A @ or ) @ ( B @ or ) @ ( C @ ( B @ or ) @ ( A @ or ) @ implies ) @ axiom ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(1,negated_conjecture,
    ~ ( q @ ( q @ ( p @ implies ) @ equivalent ) @ ( p @ implies ) @ theorem ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

thf(12,plain,
    ~ ( q @ ( q @ ( p @ implies ) @ equivalent ) @ ( p @ implies ) @ theorem ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(44,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( B @ or ) @ ( A @ implies ) @ axiom )
       != ( C @ axiom ) )
      | ~ $true
      | ( C @ theorem ) ),
    inference(paramod_ordered,[status(thm)],[15,22]) ).

thf(45,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( B @ or ) @ ( A @ implies ) @ axiom )
       != ( C @ axiom ) )
      | ( C @ theorem ) ),
    inference(simp,[status(thm)],[44]) ).

thf(46,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ or ) @ ( B @ implies ) @ theorem ),
    inference(pattern_uni,[status(thm)],[45:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( G @ ( F @ or ) @ ( G @ implies ) ))]]) ).

thf(49,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ or ) @ ( B @ implies ) @ theorem ),
    inference(simp,[status(thm)],[46]) ).

thf(41,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( B @ implies ) @ ( A @ implies ) @ axiom )
       != ( C @ axiom ) )
      | ~ $true
      | ( C @ theorem ) ),
    inference(paramod_ordered,[status(thm)],[33,22]) ).

thf(42,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( A @ ( B @ implies ) @ ( A @ implies ) @ axiom )
       != ( C @ axiom ) )
      | ( C @ theorem ) ),
    inference(simp,[status(thm)],[41]) ).

thf(43,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ implies ) @ ( B @ implies ) @ theorem ),
    inference(pattern_uni,[status(thm)],[42:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( G @ ( F @ implies ) @ ( G @ implies ) ))]]) ).

thf(48,plain,
    ! [B: $i,A: $i] : ( B @ ( A @ implies ) @ ( B @ implies ) @ theorem ),
    inference(simp,[status(thm)],[43]) ).

thf(6,axiom,
    ! [C: $i,B: $i,A: $i] : ( B @ ( C @ or ) @ ( A @ ( C @ or ) @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ axiom ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

thf(18,plain,
    ! [C: $i,B: $i,A: $i] : ( B @ ( C @ or ) @ ( A @ ( C @ or ) @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ axiom ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(158,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( B @ ( A @ not @ or ) )
       != ( C @ ( D @ or ) ) )
      | ( D @ ( C @ or ) @ ( B @ ( A @ implies ) @ implies ) @ theorem ) ),
    inference(paramod_ordered,[status(thm)],[20,77]) ).

thf(159,plain,
    ! [B: $i,A: $i] : ( B @ not @ ( A @ or ) @ ( A @ ( B @ implies ) @ implies ) @ theorem ),
    inference(pattern_uni,[status(thm)],[158:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( E @ not ))]]) ).

thf(178,plain,
    ! [B: $i,A: $i] : ( B @ not @ ( A @ or ) @ ( A @ ( B @ implies ) @ implies ) @ theorem ),
    inference(simp,[status(thm)],[159]) ).

thf(629,plain,
    $false,
    inference(e,[status(thm)],[14,20,179,77,76,16,23,75,19,174,185,24,37,25,21,33,34,264,64,17,22,27,12,49,48,18,47,15,178]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL341-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.16/0.41  % Computer : n020.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Fri Sep 25 22:18:18 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.43/1.32  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.98/1.64  % [INFO] 	 Parsing done (315ms). 
% 1.98/1.66  % [INFO] 	 Running in sequential loop mode. 
% 3.22/2.35  % [INFO] 	 eprover registered as external prover. 
% 3.22/2.36  % [INFO] 	 Scanning for conjecture ... 
% 3.58/2.50  % [INFO] 	 Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ... 
% 3.58/2.55  % [INFO] 	 Axiom selection finished. Selected 10 axioms (removed 0 axioms). 
% 3.58/2.59  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.78/2.60  % [INFO] 	 Type checking passed. 
% 3.78/2.61  % [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 ... 
% 18.05/6.40  % External prover 'e' found a proof!
% 18.05/6.40  % [INFO] 	 Killing All external provers ... 
% 19.53/6.40  % Time passed: 5764ms (effective reasoning time: 4731ms)
% 19.53/6.41  % Axioms used in derivation (10): axiom_1_5, equivalent_defn, and_defn, axiom_1_4, rule_1, axiom_1_3, implies_definition, axiom_1_2, rule_2, axiom_1_6
% 19.53/6.41  % No. of inferences in proof: 72
% 19.53/6.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5764 ms resp. 4731 ms w/o parsing
% 16.97/6.51  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.97/6.51  % [INFO] 	 Killing All external provers ... 
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