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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR149^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 10:16:16 AM UTC 2026

% Result   : Theorem 0.10s 0.22s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   50 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  280 (  88 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  346 (  35   ~;  42   |;   0   &; 266   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   82 (   0   ^;  72   !;  10   ?;  82   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_num,type,
    num: $tType ).

thf(tp_holdsDuring_THFTYPE_IiooI,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

thf(tp_lMary_THFTYPE_i,type,
    lMary_THFTYPE_i: $i ).

thf(tp_lSue_THFTYPE_i,type,
    lSue_THFTYPE_i: $i ).

thf(tp_lYearFn_THFTYPE_IiiI,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(tp_likes_THFTYPE_IiioI,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_n2009_THFTYPE_i,type,
    n2009_THFTYPE_i: $i ).

thf(tp_sK1_SX0,type,
    sK1_SX0: $i > $i > $i ).

thf(tp_sK2_SX0,type,
    sK2_SX0: $i > $i ).

thf(1,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(2,axiom,
    ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).

thf(3,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

thf(4,conjecture,
    ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(5,negated_conjecture,
    ( ( ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[4]) ).

thf(6,plain,
    ( ( ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [X: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(8,plain,
    ( ( ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(9,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(10,plain,
    ( ( ~ ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(11,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(12,plain,
    ( ( ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ $true ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(13,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [X: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(14,plain,
    ( ( ~ ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(15,plain,
    ( ( ~ ~ ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(16,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [SX0: $i] :
          ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(17,plain,
    ! [SV1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[12]) ).

thf(18,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(19,plain,
    ( ( ! [SX0: $i] :
          ~ ~ ! [SX1: $i] :
                ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[18]) ).

thf(20,plain,
    ! [SV2: $i] :
      ( ( ~ ~ ! [SY4: $i] :
                ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SY4 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(21,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY4: $i] :
              ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SY4 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[20]) ).

thf(22,plain,
    ! [SV2: $i] :
      ( ( ! [SY4: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SY4 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[21]) ).

thf(23,plain,
    ! [SV2: $i,SV3: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV3 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[22]) ).

thf(24,plain,
    ! [SV2: $i,SV3: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV3 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV2 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(25,plain,
    ! [SV4: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
      = $true ),
    inference(rename,[status(thm)],[17]) ).

thf(26,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
      = $false ),
    inference(rename,[status(thm)],[24]) ).

thf(27,plain,
    ! [SV5: $i,SV6: $i,SV4: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
        = ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
      = $false ),
    inference(res,[status(thm)],[26,25]) ).

thf(28,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ! [SX0: $i] :
              ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
              | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ) )
      = $false ),
    inference(res,[status(thm)],[26,16]) ).

thf(30,plain,
    ! [SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
              | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[28:[bind(SV6,$thf( n2009_THFTYPE_i ))]]) ).

thf(31,plain,
    ! [SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
              | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[28:[bind(SV6,$thf( n2009_THFTYPE_i ))]]) ).

thf(32,plain,
    ! [SV6: $i,SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
              | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[28]) ).

thf(33,plain,
    ! [SV6: $i,SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
              | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[28]) ).

thf(35,plain,
    ! [SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[27:[bind(SV4,$thf( lYearFn_THFTYPE_IiiI @ SV6 ))]]) ).

thf(36,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV6 @ SV5 ) )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV6 @ SV5 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[33]) ).

thf(37,plain,
    ! [SV6: $i,SV5: $i,SV7: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV7 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(38,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV5 ) )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV5 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[31]) ).

thf(39,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV8 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(40,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV6 @ SV5 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(41,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV6 @ SV5 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(42,plain,
    ! [SV6: $i,SV5: $i,SV7: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV7 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

thf(43,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV5 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[38]) ).

thf(44,plain,
    ! [SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV5 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[38]) ).

thf(45,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV8 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[39]) ).

thf(46,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV6 @ SV5 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[40]) ).

thf(47,plain,
    ! [SV6: $i,SV5: $i,SV7: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV7 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV7 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV6 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV5 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV8 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV8 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(50,plain,
    ! [SV5: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
      = $false ),
    inference(sim,[status(thm)],[35]) ).

thf(51,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[11,50,49,48,47,46,44,41,26,25,16]) ).

thf(52,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR149^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.18  % Computer : n008.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Tue Oct  6 18:56:39 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.22  
% 0.10/0.22   No.of.Axioms: 3
% 0.10/0.22  
% 0.10/0.22   Length.of.Defs: 0
% 0.10/0.22  
% 0.10/0.22   Contains.Choice.Funs: false
% 0.10/0.22  .
% 0.10/0.22  
% 0.10/0.22  ********************************
% 0.10/0.22  *   All subproblems solved!    *
% 0.10/0.22  ********************************
% 0.10/0.22  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:51,loop_count:5,foatp_calls:2,translation:fof_full)
% 0.10/0.22  
% 0.10/0.22  %**** Beginning of derivation protocol ****
% 0.10/0.22  % SZS output start CNFRefutation
% See solution above
% 0.10/0.22  
% 0.10/0.22  %**** End of derivation protocol ****
% 0.10/0.22  %**** no. of clauses in derivation: 50 ****
% 0.10/0.22  %**** clause counter: 51 ****
% 0.10/0.22  
% 0.10/0.22  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:51,loop_count:5,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------