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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NUM838+2 : TPTP v9.3.1. Released v4.1.0.
% 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 : n014.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 08:10:07 AM UTC 2026

% Result   : Theorem 4.34s 2.60s
% Output   : Refutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   60 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  114 (  54 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  432 (  26   ~;  20   |;   4   &; 352   @)
%                                         (   2 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  146 (   0   ^; 128   !;  18   ?; 146   :)

% Comments : 
%------------------------------------------------------------------------------
thf(greater_decl,type,
    greater: $i > $i > $o ).

thf(vplus_decl,type,
    vplus: $i > $i > $i ).

thf(vd301_decl,type,
    vd301: $i ).

thf(vd303_decl,type,
    vd303: $i ).

thf(vd302_decl,type,
    vd302: $i ).

thf(less_decl,type,
    less: $i > $i > $o ).

thf(vsucc_decl,type,
    vsucc: $i > $i ).

thf(v1_decl,type,
    v1: $i ).

thf(vskolem7_decl,type,
    vskolem7: $i > $i > $i ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( C @ ( B @ vskolem7 ) @ ( C @ vplus ) @ vplus ) )
        = ( A @ ( C @ ( C @ ( B @ vskolem7 ) @ vplus ) @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 7)') ).

thf(88,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( C @ ( B @ vskolem7 ) @ ( C @ vplus ) @ vplus ) )
        = ( A @ ( C @ ( C @ ( B @ vskolem7 ) @ vplus ) @ vplus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ less ) )
     => ( A @ ( B @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

thf(93,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ less ) )
     => ( A @ ( B @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(28,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ less ) )
     => ( A @ ( B @ vplus ) @ ( A @ ( C @ vplus ) @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 1)') ).

thf(121,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ less ) )
     => ( A @ ( B @ vplus ) @ ( A @ ( C @ vplus ) @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(15,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( B
        = ( C @ ( B @ vskolem7 ) @ ( C @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 9)') ).

thf(74,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ greater ) )
     => ( A
        = ( B @ ( A @ vskolem7 ) @ ( B @ vplus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(11,axiom,
    vd302 @ ( vd301 @ greater ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).

thf(65,plain,
    vd302 @ ( vd301 @ greater ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(16,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( B @ vplus ) )
        = ( A @ ( C @ ( B @ vskolem7 ) @ ( C @ vplus ) @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 8)') ).

thf(77,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( B @ vplus ) )
        = ( A @ ( C @ ( B @ vskolem7 ) @ ( C @ vplus ) @ vplus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ less ) )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

thf(32,plain,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ less ) )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(17,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( A @ ( C @ vplus ) @ ( A @ ( B @ vplus ) @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 4)') ).

thf(80,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( A @ ( C @ vplus ) @ ( A @ ( B @ vplus ) @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ less ) )
      | ~ ( B @ ( A @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

thf(123,plain,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ less ) )
      | ~ ( B @ ( A @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(1,conjecture,
    vd303 @ ( vd302 @ vplus ) @ ( vd303 @ ( vd301 @ vplus ) @ greater ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).

thf(2,negated_conjecture,
    ~ ( vd303 @ ( vd302 @ vplus ) @ ( vd303 @ ( vd301 @ vplus ) @ greater ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(31,plain,
    ~ ( vd303 @ ( vd302 @ vplus ) @ ( vd303 @ ( vd301 @ vplus ) @ greater ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(14,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ less ) )
     => ( B @ ( C @ greater ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 2)') ).

thf(72,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ less ) )
     => ( A @ ( B @ greater ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(24,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ less ) )
      | ( B @ ( A @ greater ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

thf(99,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ less ) )
      | ( B @ ( A @ greater ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ vsucc @ vplus ) )
      = ( B @ ( A @ vplus ) @ vsucc ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).

thf(82,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ vsucc @ vplus ) )
      = ( B @ ( A @ vplus ) @ vsucc ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( B = C )
     => ( ( A @ ( B @ vplus ) )
        = ( A @ ( C @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 3)') ).

thf(36,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( B = C )
     => ( ( A @ ( B @ vplus ) )
        = ( A @ ( C @ vplus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( B @ vplus ) )
      = ( B @ ( A @ vplus ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

thf(52,plain,
    ! [A: $i,B: $i] :
      ( ( A @ ( B @ vplus ) )
      = ( B @ ( A @ vplus ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( B @ less ) )
    <=> ? [C: $i] :
          ( A
          = ( C @ ( B @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

thf(110,plain,
    ! [A: $i,B: $i] :
      ( ( ? [C: $i] :
            ( A
            = ( C @ ( B @ vplus ) ) )
       => ( A @ ( B @ less ) ) )
      & ( ( A @ ( B @ less ) )
       => ? [C: $i] :
            ( A
            = ( C @ ( B @ vplus ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ less ) )
     => ( A @ ( C @ vplus ) @ ( A @ ( B @ vplus ) @ less ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 0)') ).

thf(125,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ less ) )
     => ( A @ ( C @ vplus ) @ ( A @ ( B @ vplus ) @ less ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(19,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( C @ vplus ) @ ( C @ ( B @ vskolem7 ) @ vplus ) )
        = ( C @ ( B @ vskolem7 ) @ ( A @ ( C @ vplus ) @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 5)') ).

thf(85,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( C @ vplus ) @ ( C @ ( B @ vskolem7 ) @ vplus ) )
        = ( C @ ( B @ vskolem7 ) @ ( A @ ( C @ vplus ) @ vplus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( B @ greater ) )
    <=> ? [C: $i] :
          ( B
          = ( C @ ( A @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

thf(102,plain,
    ! [A: $i,B: $i] :
      ( ( ? [C: $i] :
            ( B
            = ( C @ ( A @ vplus ) ) )
       => ( A @ ( B @ greater ) ) )
      & ( ( A @ ( B @ greater ) )
       => ? [C: $i] :
            ( B
            = ( C @ ( A @ vplus ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ? [C: $i] :
          ( B
          = ( C @ ( A @ vplus ) ) )
      | ? [C: $i] :
          ( A
          = ( C @ ( B @ vplus ) ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).

thf(59,plain,
    ! [A: $i,B: $i] :
      ( ? [C: $i] :
          ( B
          = ( C @ ( A @ vplus ) ) )
      | ? [C: $i] :
          ( A
          = ( C @ ( B @ vplus ) ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(27,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( C @ ( C @ ( B @ vskolem7 ) @ vplus ) @ vplus ) )
        = ( A @ ( C @ vplus ) @ ( C @ ( B @ vskolem7 ) @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 6)') ).

thf(118,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ greater ) )
     => ( ( A @ ( C @ ( C @ ( B @ vskolem7 ) @ vplus ) @ vplus ) )
        = ( A @ ( C @ vplus ) @ ( C @ ( B @ vskolem7 ) @ vplus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ greater ) )
     => ( A @ ( B @ less ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

thf(91,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ greater ) )
     => ( A @ ( B @ less ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(12,axiom,
    ! [A: $i,B: $i] : ( A @ ( B @ ( A @ vplus ) @ greater ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).

thf(66,plain,
    ! [A: $i,B: $i] : ( A @ ( B @ ( A @ vplus ) @ greater ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ~ ? [C: $i] :
            ( A
            = ( C @ ( B @ vplus ) ) )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

thf(48,plain,
    ! [A: $i,B: $i] :
      ( ~ ? [C: $i] :
            ( A
            = ( C @ ( B @ vplus ) ) )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(23,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ greater ) )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

thf(95,plain,
    ! [A: $i,B: $i] :
      ( ~ ( B @ ( A @ greater ) )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v1 @ ( A @ vplus ) )
        = ( A @ vsucc ) )
      & ( ( B @ vsucc @ ( A @ vplus ) )
        = ( B @ ( A @ vplus ) @ vsucc ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

thf(40,plain,
    ! [A: $i,B: $i] :
      ( ( ( v1 @ ( A @ vplus ) )
        = ( A @ vsucc ) )
      & ( ( B @ vsucc @ ( A @ vplus ) )
        = ( B @ ( A @ vplus ) @ vsucc ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ~ ? [C: $i] :
            ( B
            = ( C @ ( A @ vplus ) ) )
      | ~ ? [C: $i] :
            ( A
            = ( C @ ( B @ vplus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).

thf(55,plain,
    ! [A: $i,B: $i] :
      ( ~ ? [C: $i] :
            ( B
            = ( C @ ( A @ vplus ) ) )
      | ~ ? [C: $i] :
            ( A
            = ( C @ ( B @ vplus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ~ ? [C: $i] :
            ( B
            = ( C @ ( A @ vplus ) ) )
      | ( A != B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).

thf(68,plain,
    ! [A: $i,B: $i] :
      ( ~ ? [C: $i] :
            ( B
            = ( C @ ( A @ vplus ) ) )
      | ( A != B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(10,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ vplus ) @ vplus ) )
      = ( C @ ( B @ vplus ) @ ( A @ vplus ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

thf(62,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ vplus ) @ vplus ) )
      = ( C @ ( B @ vplus ) @ ( A @ vplus ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(130,plain,
    $false,
    inference(e,[status(thm)],[88,93,121,74,65,77,32,80,123,31,72,99,82,36,52,110,125,85,102,59,118,91,66,48,95,40,55,68,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM838+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08  % 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
% 0.14/0.41  % Computer : n014.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sat Sep 26 04:11:47 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  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
% 0.84/0.98  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.19/1.17  % [INFO] 	 Parsing done (188ms). 
% 1.19/1.18  % [INFO] 	 Running in sequential loop mode. 
% 1.86/1.57  % [INFO] 	 eprover registered as external prover. 
% 1.86/1.58  % [INFO] 	 Scanning for conjecture ... 
% 2.07/1.67  % [INFO] 	 Found a conjecture (or negated_conjecture) and 29 axioms. Running axiom selection ... 
% 2.23/1.74  % [INFO] 	 Axiom selection finished. Selected 28 axioms (removed 1 axioms). 
% 2.44/1.81  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.44/1.82  % [INFO] 	 Type checking passed. 
% 2.44/1.83  % [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 ... 
% 4.08/2.59  % External prover 'e' found a proof!
% 4.08/2.60  % [INFO] 	 Killing All external provers ... 
% 4.08/2.60  % Time passed: 2041ms (effective reasoning time: 1407ms)
% 4.08/2.60  % 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)>
% 4.34/2.60  % Axioms used in derivation (28): ass(cond(goal(130), 0), 1), ass(cond(proof(196), 0), 5), def(cond(conseq(axiom(3)), 11), 1), ass(cond(189, 0), 0), ass(cond(goal(88), 0), 2), ass(cond(proof(196), 0), 9), ass(cond(52, 0), 0), ass(cond(61, 0), 0), ass(cond(goal(130), 0), 2), ass(cond(proof(196), 0), 4), ass(cond(140, 0), 0), def(cond(conseq(axiom(3)), 12), 1), ass(cond(proof(196), 0), 7), ass(cond(proof(196), 0), 6), ass(cond(proof(196), 0), 0), ass(cond(goal(88), 0), 1), ass(cond(goal(130), 0), 0), ass(cond(goal(130), 0), 3), ass(cond(proof(196), 0), 1), ass(cond(goal(88), 0), 3), ass(cond(proof(196), 0), 8), qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))), ass(cond(147, 0), 0), ass(cond(proof(196), 0), 3), ass(cond(goal(88), 0), 0), holds(antec(195), 304, 0), ass(cond(33, 0), 0), ass(cond(proof(196), 0), 2)
% 4.34/2.60  % No. of inferences in proof: 60
% 4.34/2.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2041 ms resp. 1407 ms w/o parsing
% 4.34/2.67  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.34/2.67  % [INFO] 	 Killing All external provers ... 
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