↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : ANA084^1 : TPTP v9.3.1. Released v7.0.0.
% 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 : n006.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 07:45:45 AM UTC 2026

% Result   : Theorem 7.88s 3.22s
% Output   : Refutation 7.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   52 (  10 unt;   0 typ;   3 def)
%            Number of atoms       :  253 (  43 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :  509 (  66   ~;  53   |;  27   &; 352   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   61 (   0   ^;  47   !;  11   ?;  61   :)
%                                         (   0  !>;   0  ?*;   0  @-;   3  @+)

% Comments : 
%------------------------------------------------------------------------------
thf('type/realax/real_type',type,
    'type/realax/real': $tType ).

thf('const/sets/inf_decl',type,
    'const/sets/inf': ( 'type/realax/real' > $o ) > 'type/realax/real' ).

thf('const/sets/IN_decl',type,
    'const/sets/IN': 
      !>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).

thf('const/sets/FINITE_decl',type,
    'const/sets/FINITE': 
      !>[TA: $tType] : ( ( TA > $o ) > $o ) ).

thf('const/sets/EMPTY_decl',type,
    'const/sets/EMPTY': 
      !>[TA: $tType] : ( TA > $o ) ).

thf('const/realax/real_lt_decl',type,
    'const/realax/real_lt': 'type/realax/real' > 'type/realax/real' > $o ).

thf('const/realax/real_le_decl',type,
    'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).

thf(sk1_decl,type,
    sk1: 'type/realax/real' > $o ).

thf(sk2_decl,type,
    sk2: 'type/realax/real' ).

thf(sk5_decl,type,
    sk5: 'type/realax/real' ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: 'type/realax/real' > $o] :
          ~ ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
              & ( A
               != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
           => ! [B: 'type/realax/real'] :
                ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ A ) @ B )
                = ( ? [C: 'type/realax/real'] :
                      ( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
                      & ( 'const/realax/real_lt' @ C @ B ) ) ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: 'type/realax/real'] :
          ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ A )
         != ( ? [B: 'type/realax/real'] :
                ( ( 'const/sets/IN' @ 'type/realax/real' @ B @ sk1 )
                & ( 'const/realax/real_lt' @ B @ A ) ) ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( @+[A: 'type/realax/real'] :
          ( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
          & ( 'const/realax/real_lt' @ A @ sk2 ) ) ) ) ).

thf(1,conjecture,
    ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
      ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
        & ( A
         != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
     => ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ A ) @ B )
        = ( ? [C: 'type/realax/real'] :
              ( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
              & ( 'const/realax/real_lt' @ C @ B ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_INF_LT_FINITE_') ).

thf(2,negated_conjecture,
    ~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
        ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
          & ( A
           != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
       => ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ A ) @ B )
          = ( ? [C: 'type/realax/real'] :
                ( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
                & ( 'const/realax/real_lt' @ C @ B ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(5,plain,
    ~ ! [A: 'type/realax/real' > $o,B: 'type/realax/real'] :
        ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
          & ( A
           != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
       => ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ A ) @ B )
          = ( ? [C: 'type/realax/real'] :
                ( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
                & ( 'const/realax/real_lt' @ C @ B ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,plain,
    ~ ! [A: 'type/realax/real' > $o] :
        ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
          & ( A
           != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
       => ! [B: 'type/realax/real'] :
            ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ A ) @ B )
            = ( ? [C: 'type/realax/real'] :
                  ( ( 'const/sets/IN' @ 'type/realax/real' @ C @ A )
                  & ( 'const/realax/real_lt' @ C @ B ) ) ) ) ),
    inference(miniscope,[status(thm)],[5]) ).

thf(7,plain,
    ( ( 'const/sets/FINITE' @ 'type/realax/real' @ sk1 )
    & ( sk1
     != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
    & ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
     != ( ? [A: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
            & ( 'const/realax/real_lt' @ A @ sk2 ) ) ) ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(10,plain,
    ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
   != ( ? [A: 'type/realax/real'] :
          ( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
          & ( 'const/realax/real_lt' @ A @ sk2 ) ) ) ),
    inference(cnfConj,[status(thm)],[7]) ).

thf(12,plain,
    ( ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
   != ( ? [A: 'type/realax/real'] :
          ( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
          & ( 'const/realax/real_lt' @ A @ sk2 ) ) ) ),
    inference(lifteq,[status(thm)],[10]) ).

thf(24,plain,
    ( ~ ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
    | ~ ? [A: 'type/realax/real'] :
          ( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
          & ( 'const/realax/real_lt' @ A @ sk2 ) ) ),
    inference(bool_ext,[status(thm)],[12]) ).

thf(26,plain,
    ! [A: 'type/realax/real'] :
      ( ~ ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
      | ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
      | ~ ( 'const/realax/real_lt' @ A @ sk2 ) ),
    inference(cnf,[status(esa)],[24]) ).

thf(30,plain,
    ! [A: 'type/realax/real'] :
      ( ~ ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
      | ~ ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
      | ( ( 'const/realax/real_lt' @ A @ sk2 )
       != ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 ) )
      | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[26]) ).

thf(31,plain,
    ( ~ ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
    | ~ ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ sk1 ) @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[30:[bind(A,$thf( 'const/sets/inf' @ sk1 ))]]) ).

thf(4,axiom,
    ! [A: 'type/realax/real' > $o] :
      ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
        & ( A
         != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
     => ( ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ A ) @ A )
        & ! [B: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
           => ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INF_FINITE_') ).

thf(15,plain,
    ! [A: 'type/realax/real' > $o] :
      ( ( ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
        & ( A
         != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ) )
     => ( ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ A ) @ A )
        & ! [B: 'type/realax/real'] :
            ( ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
           => ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(16,plain,
    ! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
      ( ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
        | ( A
          = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
        | ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ A ) @ A ) )
      & ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
        | ( A
          = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
        | ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
        | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B ) ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(17,plain,
    ! [A: 'type/realax/real' > $o] :
      ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ( A
        = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
      | ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ A ) @ A ) ),
    inference(cnfConj,[status(thm)],[16]) ).

thf(19,plain,
    ! [A: 'type/realax/real' > $o] :
      ( ( A
        = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
      | ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ A ) @ A ) ),
    inference(lifteq,[status(thm)],[17]) ).

thf(9,plain,
    ( sk1
   != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
    inference(cnfConj,[status(thm)],[7]) ).

thf(11,plain,
    ( sk1
   != ( 'const/sets/EMPTY' @ 'type/realax/real' ) ),
    inference(lifteq,[status(thm)],[9]) ).

thf(168,plain,
    ! [A: 'type/realax/real' > $o] :
      ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ A ) @ A )
      | ( ( 'const/sets/EMPTY' @ 'type/realax/real' )
       != ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
      | ( A != sk1 ) ),
    inference(paramod_ordered,[status(thm)],[19,11]) ).

thf(169,plain,
    ! [A: 'type/realax/real' > $o] :
      ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ A ) @ A )
      | ( A != sk1 ) ),
    inference(simp,[status(thm)],[168]) ).

thf(170,plain,
    ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ sk1 )
    | ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ sk1 ) @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[169:[bind(A,$thf( sk1 ))]]) ).

thf(8,plain,
    'const/sets/FINITE' @ 'type/realax/real' @ sk1,
    inference(cnfConj,[status(thm)],[7]) ).

thf(229,plain,
    ( ~ $true
    | ( 'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ sk1 ) @ sk1 ) ),
    inference(rewrite,[status(thm)],[170,8]) ).

thf(230,plain,
    'const/sets/IN' @ 'type/realax/real' @ ( 'const/sets/inf' @ sk1 ) @ sk1,
    inference(simp,[status(thm)],[229]) ).

thf(235,plain,
    ( ~ ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 )
    | ~ $true ),
    inference(rewrite,[status(thm)],[31,230]) ).

thf(236,plain,
    ~ ( 'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2 ),
    inference(simp,[status(thm)],[235]) ).

thf(274,plain,
    ? [A: 'type/realax/real'] :
      ( ( 'const/sets/IN' @ 'type/realax/real' @ A @ sk1 )
      & ( 'const/realax/real_lt' @ A @ sk2 ) ),
    inference(rewrite,[status(thm)],[12,236]) ).

thf(282,plain,
    ( ( 'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1 )
    & ( 'const/realax/real_lt' @ sk5 @ sk2 ) ),
    inference(cnf,[status(esa)],[274]) ).

thf(283,plain,
    'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1,
    inference(cnfConj,[status(thm)],[282]) ).

thf(18,plain,
    ! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
      ( ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ( A
        = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
      | ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
      | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B ) ),
    inference(cnfConj,[status(thm)],[16]) ).

thf(20,plain,
    ! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
      ( ( A
        = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
      | ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ~ ( 'const/sets/IN' @ 'type/realax/real' @ B @ A )
      | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B ) ),
    inference(lifteq,[status(thm)],[18]) ).

thf(324,plain,
    ! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
      ( ( A
        = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
      | ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ~ $true
      | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B )
      | ( ( 'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1 )
       != ( 'const/sets/IN' @ 'type/realax/real' @ B @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[283,20]) ).

thf(325,plain,
    ! [B: 'type/realax/real',A: 'type/realax/real' > $o] :
      ( ( A
        = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
      | ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ A )
      | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ A ) @ B )
      | ( ( 'const/sets/IN' @ 'type/realax/real' @ sk5 @ sk1 )
       != ( 'const/sets/IN' @ 'type/realax/real' @ B @ A ) ) ),
    inference(simp,[status(thm)],[324]) ).

thf(326,plain,
    ( ( sk1
      = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
    | ~ ( 'const/sets/FINITE' @ 'type/realax/real' @ sk1 )
    | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sk1 ) @ sk5 ) ),
    inference(pattern_uni,[status(thm)],[325:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).

thf(400,plain,
    ( ( sk1
      = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
    | ~ $true
    | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sk1 ) @ sk5 ) ),
    inference(rewrite,[status(thm)],[326,8]) ).

thf(401,plain,
    ( ( sk1
      = ( 'const/sets/EMPTY' @ 'type/realax/real' ) )
    | ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sk1 ) @ sk5 ) ),
    inference(simp,[status(thm)],[400]) ).

thf(402,plain,
    'const/realax/real_le' @ ( 'const/sets/inf' @ sk1 ) @ sk5,
    inference(simplifyReflect,[status(thm)],[401,11]) ).

thf(284,plain,
    'const/realax/real_lt' @ sk5 @ sk2,
    inference(cnfConj,[status(thm)],[282]) ).

thf(3,axiom,
    ! [A: 'type/realax/real',B: 'type/realax/real',C: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ A @ B )
        & ( 'const/realax/real_lt' @ B @ C ) )
     => ( 'const/realax/real_lt' @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realarith/REAL_LET_TRANS_') ).

thf(13,plain,
    ! [A: 'type/realax/real',B: 'type/realax/real',C: 'type/realax/real'] :
      ( ( ( 'const/realax/real_le' @ A @ B )
        & ( 'const/realax/real_lt' @ B @ C ) )
     => ( 'const/realax/real_lt' @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(14,plain,
    ! [C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real'] :
      ( ~ ( 'const/realax/real_le' @ A @ B )
      | ~ ( 'const/realax/real_lt' @ B @ C )
      | ( 'const/realax/real_lt' @ A @ C ) ),
    inference(cnf,[status(esa)],[13]) ).

thf(345,plain,
    ! [C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real'] :
      ( ~ ( 'const/realax/real_le' @ A @ B )
      | ~ $true
      | ( 'const/realax/real_lt' @ A @ C )
      | ( ( 'const/realax/real_lt' @ sk5 @ sk2 )
       != ( 'const/realax/real_lt' @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[284,14]) ).

thf(346,plain,
    ! [C: 'type/realax/real',B: 'type/realax/real',A: 'type/realax/real'] :
      ( ~ ( 'const/realax/real_le' @ A @ B )
      | ( 'const/realax/real_lt' @ A @ C )
      | ( ( 'const/realax/real_lt' @ sk5 @ sk2 )
       != ( 'const/realax/real_lt' @ B @ C ) ) ),
    inference(simp,[status(thm)],[345]) ).

thf(347,plain,
    ! [A: 'type/realax/real'] :
      ( ~ ( 'const/realax/real_le' @ A @ sk5 )
      | ( 'const/realax/real_lt' @ A @ sk2 ) ),
    inference(pattern_uni,[status(thm)],[346:[bind(A,$thf( A )),bind(B,$thf( sk5 )),bind(C,$thf( sk2 ))]]) ).

thf(406,plain,
    ! [A: 'type/realax/real'] :
      ( ~ $true
      | ( 'const/realax/real_lt' @ A @ sk2 )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sk1 ) @ sk5 )
       != ( 'const/realax/real_le' @ A @ sk5 ) ) ),
    inference(paramod_ordered,[status(thm)],[402,347]) ).

thf(407,plain,
    ! [A: 'type/realax/real'] :
      ( ( 'const/realax/real_lt' @ A @ sk2 )
      | ( ( 'const/realax/real_le' @ ( 'const/sets/inf' @ sk1 ) @ sk5 )
       != ( 'const/realax/real_le' @ A @ sk5 ) ) ),
    inference(simp,[status(thm)],[406]) ).

thf(408,plain,
    'const/realax/real_lt' @ ( 'const/sets/inf' @ sk1 ) @ sk2,
    inference(pattern_uni,[status(thm)],[407:[bind(A,$thf( 'const/sets/inf' @ sk1 ))]]) ).

thf(419,plain,
    $false,
    inference(rewrite,[status(thm)],[408,236]) ).

thf(420,plain,
    $false,
    inference(simp,[status(thm)],[419]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ANA084^1 : TPTP v9.3.1. Released v7.0.0.
% 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
% 0.11/0.21  % Computer : n006.cluster.edu
% 0.11/0.21  % Model    : x86_64 x86_64
% 0.11/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21  % Memory   : 8046.5625MB
% 0.11/0.21  % OS       : Linux 6.8.0-71-generic
% 0.11/0.21  % CPULimit : 300
% 0.11/0.21  % WCLimit  : 300
% 0.11/0.21  % DateTime : Tue Sep 29 17:40:39 UTC 2026
% 0.11/0.21  % CPUTime  : 
% 0.11/0.21  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
% 1.04/0.80  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.24/1.01  % [INFO] 	 Parsing done (205ms). 
% 1.24/1.02  % [INFO] 	 Running in sequential loop mode. 
% 2.03/1.43  % [INFO] 	 eprover registered as external prover. 
% 2.03/1.44  % [INFO] 	 Scanning for conjecture ... 
% 2.24/1.54  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 2.24/1.58  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 2.24/1.59  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.40/1.60  % [INFO] 	 Type checking passed. 
% 2.40/1.60  % [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 ... 
% 7.88/3.22  % [INFO] 	 Killing All external provers ... 
% 7.88/3.22  % Time passed: 2862ms (effective reasoning time: 2191ms)
% 7.88/3.22  % 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)>
% 7.88/3.22  % Axioms used in derivation (2): thm/sets/INF_FINITE_, thm/realarith/REAL_LET_TRANS_
% 7.88/3.22  % No. of inferences in proof: 49
% 7.88/3.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2862 ms resp. 2191 ms w/o parsing
% 7.88/3.29  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.88/3.29  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------