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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SET630^3 : TPTP v9.3.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.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 Oct  7 10:40:40 AM UTC 2026

% Result   : Theorem 0.08s 0.22s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   58 (  49 unt;   0 typ;  14 def)
%            Number of atoms       :  288 (  68 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  469 ( 158   ~;  91   |;  32   &; 187   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  17 usr;   3 con; 0-3 aty)
%            Number of variables   :   46 (  32   ^;   8   !;   6   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_complement,type,
    complement: ( $i > $o ) > $i > $o ).

thf(tp_disjoint,type,
    disjoint: ( $i > $o ) > ( $i > $o ) > $o ).

thf(tp_emptyset,type,
    emptyset: $i > $o ).

thf(tp_excl_union,type,
    excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_in,type,
    in: $i > ( $i > $o ) > $o ).

thf(tp_intersection,type,
    intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_is_a,type,
    is_a: $i > ( $i > $o ) > $o ).

thf(tp_meets,type,
    meets: ( $i > $o ) > ( $i > $o ) > $o ).

thf(tp_misses,type,
    misses: ( $i > $o ) > ( $i > $o ) > $o ).

thf(tp_sK1_SY0,type,
    sK1_SY0: $i > $o ).

thf(tp_sK2_SY14,type,
    sK2_SY14: $i > $o ).

thf(tp_sK3_SY16,type,
    sK3_SY16: $i ).

thf(tp_setminus,type,
    setminus: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_singleton,type,
    singleton: $i > $i > $o ).

thf(tp_subset,type,
    subset: ( $i > $o ) > ( $i > $o ) > $o ).

thf(tp_union,type,
    union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_unord_pair,type,
    unord_pair: $i > $i > $i > $o ).

thf(complement,definition,
    ( complement
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).

thf(disjoint,definition,
    ( disjoint
    = ( ^ [X: $i > $o,Y: $i > $o] :
          ( ( intersection @ X @ Y )
          = emptyset ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint) ).

thf(emptyset,definition,
    ( emptyset
    = ( ^ [X: $i] : $false ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyset) ).

thf(excl_union,definition,
    ( excl_union
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( ( X @ U )
            & ~ ( Y @ U ) )
          | ( ~ ( X @ U )
            & ( Y @ U ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',excl_union) ).

thf(in,definition,
    ( in
    = ( ^ [X: $i,M: $i > $o] : ( M @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in) ).

thf(intersection,definition,
    ( intersection
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).

thf(is_a,definition,
    ( is_a
    = ( ^ [X: $i,M: $i > $o] : ( M @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_a) ).

thf(meets,definition,
    ( meets
    = ( ^ [X: $i > $o,Y: $i > $o] :
        ? [U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meets) ).

thf(misses,definition,
    ( misses
    = ( ^ [X: $i > $o,Y: $i > $o] :
          ~ ? [U: $i] :
              ( ( X @ U )
              & ( Y @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',misses) ).

thf(setminus,definition,
    ( setminus
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ~ ( Y @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminus) ).

thf(singleton,definition,
    ( singleton
    = ( ^ [X: $i,U: $i] : ( U = X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).

thf(subset,definition,
    ( subset
    = ( ^ [X: $i > $o,Y: $i > $o] :
        ! [U: $i] :
          ( ( X @ U )
         => ( Y @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).

thf(union,definition,
    ( union
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

thf(unord_pair,definition,
    ( unord_pair
    = ( ^ [X: $i,Y: $i,U: $i] :
          ( ( U = X )
          | ( U = Y ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unord_pair) ).

thf(1,conjecture,
    ! [X: $i > $o,Y: $i > $o] : ( misses @ ( intersection @ X @ Y ) @ ( excl_union @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).

thf(2,negated_conjecture,
    ( ( ! [X: $i > $o,Y: $i > $o] : ( misses @ ( intersection @ X @ Y ) @ ( excl_union @ X @ Y ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [SY0: $i > $o,SY1: $i > $o] :
          ~ ? [SY10: $i] :
              ( ( SY0 @ SY10 )
              & ( SY1 @ SY10 )
              & ( ( ( SY0 @ SY10 )
                  & ~ ( SY1 @ SY10 ) )
                | ( ~ ( SY0 @ SY10 )
                  & ( SY1 @ SY10 ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2,complement,disjoint,emptyset,excl_union,in,intersection,is_a,meets,misses,setminus,singleton,subset,union,unord_pair]) ).

thf(4,plain,
    ( ( ! [SY14: $i > $o] :
          ~ ? [SY15: $i] :
              ( ( sK1_SY0 @ SY15 )
              & ( SY14 @ SY15 )
              & ( ( ( sK1_SY0 @ SY15 )
                  & ~ ( SY14 @ SY15 ) )
                | ( ~ ( sK1_SY0 @ SY15 )
                  & ( SY14 @ SY15 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ~ ? [SY16: $i] :
            ( ( sK1_SY0 @ SY16 )
            & ( sK2_SY14 @ SY16 )
            & ( ( ( sK1_SY0 @ SY16 )
                & ~ ( sK2_SY14 @ SY16 ) )
              | ( ~ ( sK1_SY0 @ SY16 )
                & ( sK2_SY14 @ SY16 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ? [SY16: $i] :
          ( ( sK1_SY0 @ SY16 )
          & ( sK2_SY14 @ SY16 )
          & ( ( ( sK1_SY0 @ SY16 )
              & ~ ( sK2_SY14 @ SY16 ) )
            | ( ~ ( sK1_SY0 @ SY16 )
              & ( sK2_SY14 @ SY16 ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      & ( sK2_SY14 @ sK3_SY16 )
      & ( ( sK1_SY0 @ sK3_SY16 )
        | ~ ( sK1_SY0 @ sK3_SY16 ) )
      & ( ( sK1_SY0 @ sK3_SY16 )
        | ( sK2_SY14 @ sK3_SY16 ) )
      & ( ~ ( sK2_SY14 @ sK3_SY16 )
        | ~ ( sK1_SY0 @ sK3_SY16 ) )
      & ( ~ ( sK2_SY14 @ sK3_SY16 )
        | ( sK2_SY14 @ sK3_SY16 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6]) ).

thf(8,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      & ( sK2_SY14 @ sK3_SY16 )
      & ( ( sK1_SY0 @ sK3_SY16 )
        | ~ ( sK1_SY0 @ sK3_SY16 ) )
      & ( ( sK1_SY0 @ sK3_SY16 )
        | ( sK2_SY14 @ sK3_SY16 ) )
      & ( ~ ( sK2_SY14 @ sK3_SY16 )
        | ~ ( sK1_SY0 @ sK3_SY16 ) )
      & ( ~ ( sK2_SY14 @ sK3_SY16 )
        | ( sK2_SY14 @ sK3_SY16 ) ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ~ ( ~ ~ ( ~ ( sK1_SY0 @ sK3_SY16 )
                | ~ ( sK2_SY14 @ sK3_SY16 ) )
          | ~ ~ ( ~ ~ ( ~ ( ( sK1_SY0 @ sK3_SY16 )
                          | ~ ( sK1_SY0 @ sK3_SY16 ) )
                      | ~ ( ( sK1_SY0 @ sK3_SY16 )
                          | ( sK2_SY14 @ sK3_SY16 ) ) )
                | ~ ~ ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                          | ~ ( sK1_SY0 @ sK3_SY16 ) )
                      | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                          | ( sK2_SY14 @ sK3_SY16 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8,complement,disjoint,emptyset,excl_union,in,intersection,is_a,meets,misses,setminus,singleton,subset,union,unord_pair]) ).

thf(10,plain,
    ( ( ~ ~ ( ~ ( sK1_SY0 @ sK3_SY16 )
            | ~ ( sK2_SY14 @ sK3_SY16 ) )
      | ~ ~ ( ~ ~ ( ~ ( ( sK1_SY0 @ sK3_SY16 )
                      | ~ ( sK1_SY0 @ sK3_SY16 ) )
                  | ~ ( ( sK1_SY0 @ sK3_SY16 )
                      | ( sK2_SY14 @ sK3_SY16 ) ) )
            | ~ ~ ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                      | ~ ( sK1_SY0 @ sK3_SY16 ) )
                  | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                      | ( sK2_SY14 @ sK3_SY16 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[9]) ).

thf(11,plain,
    ( ( ~ ~ ( ~ ( sK1_SY0 @ sK3_SY16 )
            | ~ ( sK2_SY14 @ sK3_SY16 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[10]) ).

thf(12,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( ( sK1_SY0 @ sK3_SY16 )
                      | ~ ( sK1_SY0 @ sK3_SY16 ) )
                  | ~ ( ( sK1_SY0 @ sK3_SY16 )
                      | ( sK2_SY14 @ sK3_SY16 ) ) )
            | ~ ~ ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                      | ~ ( sK1_SY0 @ sK3_SY16 ) )
                  | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                      | ( sK2_SY14 @ sK3_SY16 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[10]) ).

thf(13,plain,
    ( ( ~ ( ~ ( sK1_SY0 @ sK3_SY16 )
          | ~ ( sK2_SY14 @ sK3_SY16 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[11]) ).

thf(14,plain,
    ( ( ~ ( ~ ~ ( ~ ( ( sK1_SY0 @ sK3_SY16 )
                    | ~ ( sK1_SY0 @ sK3_SY16 ) )
                | ~ ( ( sK1_SY0 @ sK3_SY16 )
                    | ( sK2_SY14 @ sK3_SY16 ) ) )
          | ~ ~ ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                    | ~ ( sK1_SY0 @ sK3_SY16 ) )
                | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                    | ( sK2_SY14 @ sK3_SY16 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[12]) ).

thf(15,plain,
    ( ( ~ ( sK1_SY0 @ sK3_SY16 )
      | ~ ( sK2_SY14 @ sK3_SY16 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[13]) ).

thf(16,plain,
    ( ( ~ ~ ( ~ ( ( sK1_SY0 @ sK3_SY16 )
                | ~ ( sK1_SY0 @ sK3_SY16 ) )
            | ~ ( ( sK1_SY0 @ sK3_SY16 )
                | ( sK2_SY14 @ sK3_SY16 ) ) )
      | ~ ~ ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                | ~ ( sK1_SY0 @ sK3_SY16 ) )
            | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                | ( sK2_SY14 @ sK3_SY16 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[14]) ).

thf(17,plain,
    ( ( ~ ( sK1_SY0 @ sK3_SY16 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[15]) ).

thf(18,plain,
    ( ( ~ ( sK2_SY14 @ sK3_SY16 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[15]) ).

thf(19,plain,
    ( ( ~ ~ ( ~ ( ( sK1_SY0 @ sK3_SY16 )
                | ~ ( sK1_SY0 @ sK3_SY16 ) )
            | ~ ( ( sK1_SY0 @ sK3_SY16 )
                | ( sK2_SY14 @ sK3_SY16 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(20,plain,
    ( ( ~ ~ ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                | ~ ( sK1_SY0 @ sK3_SY16 ) )
            | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
                | ( sK2_SY14 @ sK3_SY16 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(21,plain,
    ( ( sK1_SY0 @ sK3_SY16 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[17]) ).

thf(22,plain,
    ( ( sK2_SY14 @ sK3_SY16 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[18]) ).

thf(23,plain,
    ( ( ~ ( ~ ( ( sK1_SY0 @ sK3_SY16 )
              | ~ ( sK1_SY0 @ sK3_SY16 ) )
          | ~ ( ( sK1_SY0 @ sK3_SY16 )
              | ( sK2_SY14 @ sK3_SY16 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ~ ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
              | ~ ( sK1_SY0 @ sK3_SY16 ) )
          | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
              | ( sK2_SY14 @ sK3_SY16 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[20]) ).

thf(25,plain,
    ( ( ~ ( ( sK1_SY0 @ sK3_SY16 )
          | ~ ( sK1_SY0 @ sK3_SY16 ) )
      | ~ ( ( sK1_SY0 @ sK3_SY16 )
          | ( sK2_SY14 @ sK3_SY16 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(26,plain,
    ( ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
          | ~ ( sK1_SY0 @ sK3_SY16 ) )
      | ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
          | ( sK2_SY14 @ sK3_SY16 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(27,plain,
    ( ( ~ ( ( sK1_SY0 @ sK3_SY16 )
          | ~ ( sK1_SY0 @ sK3_SY16 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[25]) ).

thf(28,plain,
    ( ( ~ ( ( sK1_SY0 @ sK3_SY16 )
          | ( sK2_SY14 @ sK3_SY16 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[25]) ).

thf(29,plain,
    ( ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
          | ~ ( sK1_SY0 @ sK3_SY16 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(30,plain,
    ( ( ~ ( ~ ( sK2_SY14 @ sK3_SY16 )
          | ( sK2_SY14 @ sK3_SY16 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(31,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      | ~ ( sK1_SY0 @ sK3_SY16 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[27]) ).

thf(32,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      | ( sK2_SY14 @ sK3_SY16 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(33,plain,
    ( ( ~ ( sK2_SY14 @ sK3_SY16 )
      | ~ ( sK1_SY0 @ sK3_SY16 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[29]) ).

thf(34,plain,
    ( ( ~ ( sK2_SY14 @ sK3_SY16 )
      | ( sK2_SY14 @ sK3_SY16 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[30]) ).

thf(35,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      = $true )
    | ( ( ~ ( sK1_SY0 @ sK3_SY16 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[31]) ).

thf(36,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      = $true )
    | ( ( sK2_SY14 @ sK3_SY16 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[32]) ).

thf(37,plain,
    ( ( ( ~ ( sK2_SY14 @ sK3_SY16 ) )
      = $true )
    | ( ( ~ ( sK1_SY0 @ sK3_SY16 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[33]) ).

thf(38,plain,
    ( ( ( ~ ( sK2_SY14 @ sK3_SY16 ) )
      = $true )
    | ( ( sK2_SY14 @ sK3_SY16 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[34]) ).

thf(39,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      = $false )
    | ( ( sK1_SY0 @ sK3_SY16 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[35]) ).

thf(40,plain,
    ( ( ( sK2_SY14 @ sK3_SY16 )
      = $false )
    | ( ( ~ ( sK1_SY0 @ sK3_SY16 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(41,plain,
    ( ( ( sK2_SY14 @ sK3_SY16 )
      = $false )
    | ( ( sK2_SY14 @ sK3_SY16 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(42,plain,
    ( ( ( sK1_SY0 @ sK3_SY16 )
      = $false )
    | ( ( sK2_SY14 @ sK3_SY16 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(43,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[21,42,41,39,36,22]) ).

thf(44,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET630^3 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18  % Computer : n009.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Oct  6 14:47:32 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.22  
% 0.08/0.22   No.of.Axioms: 0
% 0.08/0.22  
% 0.08/0.22   Length.of.Defs: 2097
% 0.08/0.22  
% 0.08/0.22   Contains.Choice.Funs: false
% 0.08/0.22  .
% 0.08/0.22  
% 0.08/0.22  ********************************
% 0.08/0.22  *   All subproblems solved!    *
% 0.08/0.22  ********************************
% 0.08/0.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:43,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.22  
% 0.08/0.22  %**** Beginning of derivation protocol ****
% 0.08/0.22  % SZS output start CNFRefutation
% See solution above
% 0.08/0.22  
% 0.08/0.22  %**** End of derivation protocol ****
% 0.08/0.22  %**** no. of clauses in derivation: 44 ****
% 0.08/0.22  %**** clause counter: 43 ****
% 0.08/0.22  
% 0.08/0.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:43,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------