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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR123^1 : 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 : 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 Oct  7 10:16:04 AM UTC 2026

% Result   : Theorem 0.07s 0.23s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   51 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  221 (  83 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  414 (  98   ~;  49   |;   6   &; 261   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   80 (  80   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  108 (   0   ^;  96   !;  12   ?; 108   :)

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

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

thf(tp_lBen_THFTYPE_i,type,
    lBen_THFTYPE_i: $i ).

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(1,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(2,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).

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

thf(4,conjecture,
    ? [P: $i > $i > $o,X: $i,Y: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( P @ lSue_THFTYPE_i @ X )
        & ~ ( P @ lSue_THFTYPE_i @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(5,negated_conjecture,
    ( ( ? [P: $i > $i > $o,X: $i,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( P @ lSue_THFTYPE_i @ X )
            & ~ ( P @ lSue_THFTYPE_i @ Y ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[4]) ).

thf(6,plain,
    ( ( ? [P: $i > $i > $o,X: $i,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( P @ lSue_THFTYPE_i @ X )
            & ~ ( P @ lSue_THFTYPE_i @ Y ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(8,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

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

thf(10,plain,
    ( ( ~ ? [P: $i > $i > $o,X: $i,Y: $i] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( P @ lSue_THFTYPE_i @ X )
              & ~ ( P @ lSue_THFTYPE_i @ Y ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(11,plain,
    ( ( ! [P: $i > $i > $o,X: $i,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( P @ lSue_THFTYPE_i @ X )
              & ~ ( P @ lSue_THFTYPE_i @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(12,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(13,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(14,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(15,plain,
    ( ( ! [P: $i > $i > $o,X: $i,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( P @ lSue_THFTYPE_i @ X )
              & ~ ( P @ lSue_THFTYPE_i @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(16,plain,
    ( ( ! [SX0: $i > $i > $o,SX1: $i,SX2: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ SX1 )
                | ~ ~ ( SX0 @ lSue_THFTYPE_i @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(17,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ! [SY3: $i,SY4: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ SY3 )
                  | ~ ~ ( SV1 @ lSue_THFTYPE_i @ SY4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[16]) ).

thf(18,plain,
    ! [SV2: $i,SV1: $i > $i > $o] :
      ( ( ! [SY5: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ SV2 )
                  | ~ ~ ( SV1 @ lSue_THFTYPE_i @ SY5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[17]) ).

thf(19,plain,
    ! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ SV2 )
                | ~ ~ ( SV1 @ lSue_THFTYPE_i @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[18]) ).

thf(20,plain,
    ! [SV3: $i,SV2: $i,SV1: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ SV2 )
            | ~ ~ ( SV1 @ lSue_THFTYPE_i @ SV3 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[19]) ).

thf(21,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
            | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) ) )
      = $false ),
    inference(rename,[status(thm)],[20]) ).

thf(22,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
              | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[21,14]) ).

thf(25,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
          | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[22]) ).

thf(26,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
          | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[22]) ).

thf(27,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
              | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[22]) ).

thf(28,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
              | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[22]) ).

thf(29,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
          | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(30,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 )
          | ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(31,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(32,plain,
    ! [SV4: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(33,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 ) )
        = $true )
      | ( ( ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[25]) ).

thf(34,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 ) )
        = $true )
      | ( ( ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[29]) ).

thf(35,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV5 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(36,plain,
    ! [SV4: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(37,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(38,plain,
    ! [SV4: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[32]) ).

thf(39,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[33]) ).

thf(40,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ~ ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(41,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(42,plain,
    ! [SV4: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(43,plain,
    ! [SV4: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV4 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(44,plain,
    ! [SV5: $i,SV4: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $false )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[39]) ).

thf(45,plain,
    ! [SV5: $i,SV4: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ lSue_THFTYPE_i @ SV4 ) )
        = $false )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(46,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(47,plain,
    ! [SV4: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV4 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV5: $i,SV4: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV4 )
        = $true )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[44]) ).

thf(49,plain,
    ! [SV5: $i,SV4: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ lSue_THFTYPE_i @ SV4 )
        = $true )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[45]) ).

thf(50,plain,
    ! [SV4: $i,SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(51,plain,
    ! [SV4: $i,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( ( SV6 @ lSue_THFTYPE_i @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(52,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[12,51,50,48,46,43,37,21,14,13]) ).

thf(53,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR123^1 : 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
% 0.07/0.18  % Computer : n006.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Oct  6 18:54:52 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.23  
% 0.07/0.23   No.of.Axioms: 3
% 0.07/0.23  
% 0.07/0.23   Length.of.Defs: 0
% 0.07/0.23  
% 0.07/0.23   Contains.Choice.Funs: false
% 0.07/0.23  .
% 0.07/0.23  
% 0.07/0.23  ********************************
% 0.07/0.23  *   All subproblems solved!    *
% 0.07/0.23  ********************************
% 0.07/0.23  % 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:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:52,loop_count:5,foatp_calls:2,translation:fof_experiment)
% 0.07/0.23  
% 0.07/0.23  %**** Beginning of derivation protocol ****
% 0.07/0.23  % SZS output start CNFRefutation
% See solution above
% 0.07/0.23  
% 0.07/0.23  %**** End of derivation protocol ****
% 0.07/0.23  %**** no. of clauses in derivation: 51 ****
% 0.07/0.23  %**** clause counter: 52 ****
% 0.07/0.23  
% 0.07/0.23  % 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:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:52,loop_count:5,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------