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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEV396^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n004.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 : Wed Sep 30 08:37:14 AM UTC 2026

% Result   : Theorem 6.32s 2.34s
% Output   : Refutation 6.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   85 (   8 unt;   0 typ;   2 def)
%            Number of atoms       :  439 (  82 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  659 ( 128   ~; 153   |;  48   &; 317   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   7 con; 0-2 aty)
%            Number of variables   :   50 (  30   ^;  18   !;   0   ?;  50   :)
%                                         (   0  !>;   0  ?*;   0  @-;   2  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(cR_decl,type,
    cR: $i > $o ).

thf(cS_decl,type,
    cS: $i > $o ).

thf(sk1_decl,type,
    sk1: $i ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk3_decl,type,
    sk3: $i ).

thf(sk6_decl,type,
    sk6: $i ).

thf(sk7_decl,type,
    sk7: $i ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: $i] :
          ~ ( ( cR @ A )
           => ( cS @ A ) ) ) ) ).

thf(sk6_def,definition,
    ( sk6
    = ( @+[A: $i] :
          ~ ( ( cR @ A )
           => ( cS @ A ) ) ) ) ).

thf(1,conjecture,
    ( ( ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) )
    = ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM31_pme) ).

thf(2,negated_conjecture,
    ( ( ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) )
   != ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) )
   != ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) )
   != ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR ) ),
    inference(lifteq,[status(thm)],[3]) ).

thf(6,plain,
    ( ! [A: $i] :
        ( ( cR @ A )
       => ( cS @ A ) )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR ) ),
    inference(bool_ext,[status(thm)],[4]) ).

thf(8,plain,
    ( ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR )
    | ! [A: $i] :
        ( ( cR @ A )
       => ( cS @ A ) ) ),
    inference(lifteq,[status(thm)],[6]) ).

thf(12,plain,
    ! [A: $i] :
      ( ( ( ^ [B: $i] :
              ( ( cR @ B )
              & ( cS @ B ) ) )
        = cR )
      | ~ ( cR @ A )
      | ( cS @ A ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(56,plain,
    ! [B: $i,A: $i] :
      ( ( ( ( cR @ B )
          & ( cS @ B ) )
        = ( cR @ B ) )
      | ~ ( cR @ A )
      | ( cS @ A ) ),
    inference(func_ext,[status(esa)],[12]) ).

thf(5,plain,
    ( ~ ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != cR ) ),
    inference(bool_ext,[status(thm)],[4]) ).

thf(7,plain,
    ( ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != cR )
    | ~ ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) ),
    inference(lifteq,[status(thm)],[5]) ).

thf(9,plain,
    ( ( ( ( ^ [A: $i] :
              ( ( cR @ A )
              & ( cS @ A ) ) )
       != cR )
      | ( cR @ sk1 ) )
    & ( ( ( ^ [A: $i] :
              ( ( cR @ A )
              & ( cS @ A ) ) )
       != cR )
      | ~ ( cS @ sk1 ) ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(11,plain,
    ( ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != cR )
    | ~ ( cS @ sk1 ) ),
    inference(cnfConj,[status(thm)],[9]) ).

thf(14,plain,
    ( ( ( ( cR @ sk3 )
        & ( cS @ sk3 ) )
     != ( cR @ sk3 ) )
    | ~ ( cS @ sk1 ) ),
    inference(func_ext,[status(esa)],[11]) ).

thf(10,plain,
    ( ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != cR )
    | ( cR @ sk1 ) ),
    inference(cnfConj,[status(thm)],[9]) ).

thf(13,plain,
    ( ( ( ( cR @ sk2 )
        & ( cS @ sk2 ) )
     != ( cR @ sk2 ) )
    | ( cR @ sk1 ) ),
    inference(func_ext,[status(esa)],[10]) ).

thf(16,plain,
    ( ( cR @ sk1 )
    | ( ( cR @ sk2 )
      & ( cS @ sk2 ) )
    | ( cR @ sk2 ) ),
    inference(bool_ext,[status(thm)],[13]) ).

thf(17,plain,
    ( ( ( cR @ sk1 )
      | ( cR @ sk2 )
      | ( cR @ sk2 ) )
    & ( ( cR @ sk1 )
      | ( cS @ sk2 )
      | ( cR @ sk2 ) ) ),
    inference(cnf,[status(esa)],[16]) ).

thf(18,plain,
    ( ( cR @ sk1 )
    | ( cR @ sk2 )
    | ( cR @ sk2 ) ),
    inference(cnfConj,[status(thm)],[17]) ).

thf(20,plain,
    ( ( cR @ sk1 )
    | ( cR @ sk2 ) ),
    inference(simp,[status(thm)],[18]) ).

thf(60,plain,
    ! [A: $i] :
      ( ( cR @ sk1 )
      | ( ( ^ [B: $i] :
              ( ( cR @ B )
              & ( cS @ B ) ) )
        = cR )
      | ~ $true
      | ( cS @ A )
      | ( ( cR @ sk2 )
       != ( cR @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[20,12]) ).

thf(61,plain,
    ! [A: $i] :
      ( ( cR @ sk1 )
      | ( ( ^ [B: $i] :
              ( ( cR @ B )
              & ( cS @ B ) ) )
        = cR )
      | ( cS @ A )
      | ( ( cR @ sk2 )
       != ( cR @ A ) ) ),
    inference(simp,[status(thm)],[60]) ).

thf(62,plain,
    ( ( cR @ sk1 )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR )
    | ( cS @ sk2 ) ),
    inference(pattern_uni,[status(thm)],[61:[bind(A,$thf( sk2 ))]]) ).

thf(109,plain,
    ( ( cR @ sk1 )
    | ( cS @ sk2 )
    | ( cR != cR )
    | ( cR @ sk1 )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[62,10]) ).

thf(110,plain,
    ( ( cR @ sk1 )
    | ( cS @ sk2 )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) ) ) ),
    inference(simp,[status(thm)],[109]) ).

thf(111,plain,
    ( ( cR @ sk1 )
    | ( cS @ sk2 ) ),
    inference(pattern_uni,[status(thm)],[110:[]]) ).

thf(15,plain,
    ( ( cR @ sk1 )
    | ~ ( ( cR @ sk2 )
        & ( cS @ sk2 ) )
    | ~ ( cR @ sk2 ) ),
    inference(bool_ext,[status(thm)],[13]) ).

thf(21,plain,
    ( ( cR @ sk1 )
    | ~ ( cR @ sk2 )
    | ~ ( cS @ sk2 )
    | ~ ( cR @ sk2 ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(22,plain,
    ( ( cR @ sk1 )
    | ~ ( cR @ sk2 )
    | ~ ( cS @ sk2 ) ),
    inference(simp,[status(thm)],[21]) ).

thf(82,plain,
    ( ( cR @ sk1 )
    | ( cR @ sk1 )
    | ~ $true
    | ~ ( cS @ sk2 )
    | ( ( cR @ sk2 )
     != ( cR @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[20,22]) ).

thf(83,plain,
    ( ( cR @ sk1 )
    | ~ ( cS @ sk2 )
    | ( ( cR @ sk2 )
     != ( cR @ sk2 ) ) ),
    inference(simp,[status(thm)],[82]) ).

thf(84,plain,
    ( ( cR @ sk1 )
    | ~ ( cS @ sk2 ) ),
    inference(pattern_uni,[status(thm)],[83:[]]) ).

thf(131,plain,
    ( ( cR @ sk1 )
    | ( cR @ sk1 )
    | ~ $true
    | ( ( cS @ sk2 )
     != ( cS @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[111,84]) ).

thf(132,plain,
    ( ( cR @ sk1 )
    | ( ( cS @ sk2 )
     != ( cS @ sk2 ) ) ),
    inference(simp,[status(thm)],[131]) ).

thf(133,plain,
    cR @ sk1,
    inference(pattern_uni,[status(thm)],[132:[]]) ).

thf(175,plain,
    ! [A: $i] :
      ( ( ( ^ [B: $i] :
              ( ( cR @ B )
              & ( cS @ B ) ) )
        = cR )
      | ~ $true
      | ( cS @ A )
      | ( ( cR @ sk1 )
       != ( cR @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[133,12]) ).

thf(176,plain,
    ! [A: $i] :
      ( ( ( ^ [B: $i] :
              ( ( cR @ B )
              & ( cS @ B ) ) )
        = cR )
      | ( cS @ A )
      | ( ( cR @ sk1 )
       != ( cR @ A ) ) ),
    inference(simp,[status(thm)],[175]) ).

thf(177,plain,
    ( ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
      = cR )
    | ( cS @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[176:[bind(A,$thf( sk1 ))]]) ).

thf(201,plain,
    ( ( cS @ sk1 )
    | ( ( cR = cR )
     != ( ! [A: $i] :
            ( ( cR @ A )
           => ( cS @ A ) ) ) )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[177,4]) ).

thf(202,plain,
    ( ( cS @ sk1 )
    | ~ ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) ) ) ),
    inference(simp,[status(thm)],[201]) ).

thf(203,plain,
    ( ( cS @ sk1 )
    | ~ ! [A: $i] :
          ( ( cR @ A )
         => ( cS @ A ) ) ),
    inference(pattern_uni,[status(thm)],[202:[]]) ).

thf(204,plain,
    ( ( ( cS @ sk1 )
      | ( cR @ sk6 ) )
    & ( ( cS @ sk1 )
      | ~ ( cS @ sk6 ) ) ),
    inference(cnf,[status(esa)],[203]) ).

thf(205,plain,
    ( ( cS @ sk1 )
    | ( cR @ sk6 ) ),
    inference(cnfConj,[status(thm)],[204]) ).

thf(24,plain,
    ( ~ ( cS @ sk1 )
    | ( ( cR @ sk3 )
      & ( cS @ sk3 ) )
    | ( cR @ sk3 ) ),
    inference(bool_ext,[status(thm)],[14]) ).

thf(27,plain,
    ( ( ~ ( cS @ sk1 )
      | ( cR @ sk3 )
      | ( cR @ sk3 ) )
    & ( ~ ( cS @ sk1 )
      | ( cS @ sk3 )
      | ( cR @ sk3 ) ) ),
    inference(cnf,[status(esa)],[24]) ).

thf(28,plain,
    ( ~ ( cS @ sk1 )
    | ( cR @ sk3 )
    | ( cR @ sk3 ) ),
    inference(cnfConj,[status(thm)],[27]) ).

thf(30,plain,
    ( ~ ( cS @ sk1 )
    | ( cR @ sk3 ) ),
    inference(simp,[status(thm)],[28]) ).

thf(220,plain,
    ( ( cR @ sk6 )
    | ~ $true
    | ( cR @ sk3 )
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[205,30]) ).

thf(221,plain,
    ( ( cR @ sk6 )
    | ( cR @ sk3 )
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(simp,[status(thm)],[220]) ).

thf(222,plain,
    ( ( cR @ sk6 )
    | ( cR @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[221:[]]) ).

thf(246,plain,
    ( ( cR @ sk3 )
    | ( ( cR @ sk6 )
     != ( cR @ sk3 ) )
    | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[222]) ).

thf(252,plain,
    ( ( cR @ sk3 )
    | ( ( cR @ sk6 )
     != ( cR @ sk3 ) ) ),
    inference(simp,[status(thm)],[246]) ).

thf(23,plain,
    ( ~ ( cS @ sk1 )
    | ~ ( ( cR @ sk3 )
        & ( cS @ sk3 ) )
    | ~ ( cR @ sk3 ) ),
    inference(bool_ext,[status(thm)],[14]) ).

thf(25,plain,
    ( ~ ( cS @ sk1 )
    | ~ ( cR @ sk3 )
    | ~ ( cS @ sk3 )
    | ~ ( cR @ sk3 ) ),
    inference(cnf,[status(esa)],[23]) ).

thf(26,plain,
    ( ~ ( cS @ sk1 )
    | ~ ( cR @ sk3 )
    | ~ ( cS @ sk3 ) ),
    inference(simp,[status(thm)],[25]) ).

thf(31,plain,
    ( ~ ( cS @ sk1 )
    | ~ ( cR @ sk3 )
    | ( ( cS @ sk3 )
     != ( cS @ sk1 ) )
    | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[26]) ).

thf(32,plain,
    ( ~ ( cS @ sk1 )
    | ~ ( cR @ sk3 )
    | ( ( cS @ sk3 )
     != ( cS @ sk1 ) ) ),
    inference(simp,[status(thm)],[31]) ).

thf(253,plain,
    ( ( cR @ sk3 )
    | ( sk6 != sk3 ) ),
    inference(simp,[status(thm)],[246]) ).

thf(280,plain,
    ( ( sk6 != sk3 )
    | ~ ( cS @ sk1 )
    | ~ $true
    | ~ ( cS @ sk3 )
    | ( ( cR @ sk3 )
     != ( cR @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[253,26]) ).

thf(281,plain,
    ( ( sk6 != sk3 )
    | ~ ( cS @ sk1 )
    | ~ ( cS @ sk3 )
    | ( ( cR @ sk3 )
     != ( cR @ sk3 ) ) ),
    inference(simp,[status(thm)],[280]) ).

thf(282,plain,
    ( ( sk6 != sk3 )
    | ~ ( cS @ sk1 )
    | ~ ( cS @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[281:[]]) ).

thf(209,plain,
    ( ( cR @ sk6 )
    | ( ( ( cR @ sk3 )
        & ( cS @ sk3 ) )
     != ( cR @ sk3 ) )
    | ~ $true
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[205,14]) ).

thf(210,plain,
    ( ( cR @ sk6 )
    | ( ( ( cR @ sk3 )
        & ( cS @ sk3 ) )
     != ( cR @ sk3 ) )
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(simp,[status(thm)],[209]) ).

thf(211,plain,
    ( ( cR @ sk6 )
    | ( ( ( cR @ sk3 )
        & ( cS @ sk3 ) )
     != ( cR @ sk3 ) ) ),
    inference(pattern_uni,[status(thm)],[210:[]]) ).

thf(217,plain,
    ( ( cR @ sk6 )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != cR )
    | ~ $true
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[205,11]) ).

thf(218,plain,
    ( ( cR @ sk6 )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != cR )
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(simp,[status(thm)],[217]) ).

thf(219,plain,
    ( ( cR @ sk6 )
    | ( ( ^ [A: $i] :
            ( ( cR @ A )
            & ( cS @ A ) ) )
     != cR ) ),
    inference(pattern_uni,[status(thm)],[218:[]]) ).

thf(283,plain,
    ( ( ( ( cR @ sk7 )
        & ( cS @ sk7 ) )
     != ( cR @ sk7 ) )
    | ( cR @ sk6 ) ),
    inference(func_ext,[status(esa)],[219]) ).

thf(414,plain,
    ( ( cR @ sk6 )
    | ( ( ( cR @ sk7 )
        & $true )
     != ( cR @ sk7 ) )
    | ( cR @ sk6 )
    | ( ( cS @ sk7 )
     != ( cS @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[205,283]) ).

thf(415,plain,
    ( ( cR @ sk6 )
    | ( ( cS @ sk7 )
     != ( cS @ sk1 ) ) ),
    inference(simp,[status(thm)],[414]) ).

thf(428,plain,
    ( ( cR @ sk6 )
    | ( sk7 != sk1 ) ),
    inference(simp,[status(thm)],[415]) ).

thf(206,plain,
    ( ( cS @ sk1 )
    | ~ ( cS @ sk6 ) ),
    inference(cnfConj,[status(thm)],[204]) ).

thf(173,plain,
    ( ~ ( cS @ sk1 )
    | ~ $true
    | ( ( cS @ sk3 )
     != ( cS @ sk1 ) )
    | ( ( cR @ sk3 )
     != ( cR @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[133,32]) ).

thf(174,plain,
    ( ~ ( cS @ sk1 )
    | ( ( cS @ sk3 )
     != ( cS @ sk1 ) )
    | ( ( cR @ sk3 )
     != ( cR @ sk1 ) ) ),
    inference(simp,[status(thm)],[173]) ).

thf(183,plain,
    ( ~ ( cS @ sk1 )
    | ( sk3 != sk1 )
    | ( sk3 != sk1 ) ),
    inference(simp,[status(thm)],[174]) ).

thf(186,plain,
    ( ~ ( cS @ sk1 )
    | ( sk3 != sk1 ) ),
    inference(simp,[status(thm)],[183]) ).

thf(228,plain,
    ( ( cR @ sk6 )
    | ~ $true
    | ( sk3 != sk1 )
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[205,186]) ).

thf(229,plain,
    ( ( cR @ sk6 )
    | ( sk3 != sk1 )
    | ( ( cS @ sk1 )
     != ( cS @ sk1 ) ) ),
    inference(simp,[status(thm)],[228]) ).

thf(230,plain,
    ( ( cR @ sk6 )
    | ( sk3 != sk1 ) ),
    inference(pattern_uni,[status(thm)],[229:[]]) ).

thf(409,plain,
    ( ( cR @ sk6 )
    | ( ( cR @ sk7 )
      & ( cS @ sk7 ) )
    | ( cR @ sk7 ) ),
    inference(bool_ext,[status(thm)],[283]) ).

thf(431,plain,
    ( ( ( cR @ sk6 )
      | ( cR @ sk7 )
      | ( cR @ sk7 ) )
    & ( ( cR @ sk6 )
      | ( cS @ sk7 )
      | ( cR @ sk7 ) ) ),
    inference(cnf,[status(esa)],[409]) ).

thf(432,plain,
    ( ( cR @ sk6 )
    | ( cR @ sk7 )
    | ( cR @ sk7 ) ),
    inference(cnfConj,[status(thm)],[431]) ).

thf(434,plain,
    ( ( cR @ sk6 )
    | ( cR @ sk7 ) ),
    inference(simp,[status(thm)],[432]) ).

thf(535,plain,
    $false,
    inference(e,[status(thm)],[56,14,252,205,32,12,3,282,177,11,30,222,211,253,133,428,206,219,230,434,26,186,4,283]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV396^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.09/0.22  % Computer : n004.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.22  % WCLimit  : 300
% 0.09/0.22  % DateTime : Tue Sep 29 15:44:07 UTC 2026
% 0.09/0.23  % CPUTime  : 
% 0.09/0.23  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.79/0.62  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.02/0.71  % [INFO] 	 Parsing done (94ms). 
% 1.02/0.72  % [INFO] 	 Running in sequential loop mode. 
% 1.42/0.91  % [INFO] 	 eprover registered as external prover. 
% 1.42/0.92  % [INFO] 	 Scanning for conjecture ... 
% 1.42/0.96  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.42/0.98  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.42/0.98  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.42/0.98  % [INFO] 	 Type checking passed. 
% 1.42/0.98  % [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 ... 
% 6.32/2.33  % External prover 'e' found a proof!
% 6.32/2.33  % [INFO] 	 Killing All external provers ... 
% 6.32/2.33  % Time passed: 1967ms (effective reasoning time: 1614ms)
% 6.32/2.33  % 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)>
% 6.32/2.34  % Axioms used in derivation (0): 
% 6.32/2.34  % No. of inferences in proof: 83
% 6.32/2.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1967 ms resp. 1614 ms w/o parsing
% 6.32/2.37  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.32/2.37  % [INFO] 	 Killing All external provers ... 
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