TSTP Solution File: CSR149^1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : CSR149^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 21:38:14 EDT 2022

% Result   : Theorem 1.09s 1.31s
% Output   : CNFRefutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  193 (  24 unt;  10 typ;   0 def)
%            Number of atoms       : 1945 ( 818 equ;   0 cnn)
%            Maximal formula atoms :    7 (  10 avg)
%            Number of connectives : 1941 (  19   ~; 442   |;   0   &;1477   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  408 (   0   ^ 400   !;   8   ?; 408   :)

% 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/sandbox2/benchmark/theBenchmark.p',ax_002) ).

thf(2,axiom,
    ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).

thf(3,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/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/sandbox2/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,
    ( ( ! [X: $i,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

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

thf(13,plain,
    ( ( ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ $true ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(14,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(15,plain,
    ( ( ! [X: $i,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

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)],[14]) ).

thf(17,plain,
    ! [SV1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[13]) ).

thf(18,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)],[15]) ).

thf(19,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)],[18]) ).

thf(20,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)],[19]) ).

thf(21,plain,
    ! [SV4: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
      = $true ),
    inference(rename,[status(thm)],[17]) ).

thf(22,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
      = $false ),
    inference(rename,[status(thm)],[20]) ).

thf(23,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)],[22,21]) ).

thf(24,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)],[22,16]) ).

thf(26,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 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[24:[bind(SV6,$thf( n2009_THFTYPE_i ))]]) ).

thf(27,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 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[24:[bind(SV6,$thf( n2009_THFTYPE_i ))]]) ).

thf(28,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)],[24]) ).

thf(29,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)],[24]) ).

thf(31,plain,
    ! [SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[23:[bind(SV4,$thf( lYearFn_THFTYPE_IiiI @ SV6 ))]]) ).

thf(32,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)],[29]) ).

thf(33,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)],[28]) ).

thf(34,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)],[27]) ).

thf(35,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)],[26]) ).

thf(36,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)],[32]) ).

thf(37,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)],[32]) ).

thf(38,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)],[33]) ).

thf(39,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)],[34]) ).

thf(40,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)],[34]) ).

thf(41,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)],[35]) ).

thf(42,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)],[36]) ).

thf(43,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)],[38]) ).

thf(44,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)],[39]) ).

thf(45,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)],[41]) ).

thf(46,plain,
    ! [SV5: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 )
      = $false ),
    inference(sim,[status(thm)],[31]) ).

thf(47,plain,
    ! [SV9: $i,SV10: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(rename,[status(thm)],[37]) ).

thf(55,plain,
    ! [SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[47,12]) ).

thf(56,plain,
    ! [SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[47,12]) ).

thf(57,plain,
    ! [SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 )
          = lBill_THFTYPE_i )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[56:[bind(SV10,$thf( n2009_THFTYPE_i ))]]) ).

thf(58,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[55:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV9,$thf( lBill_THFTYPE_i ))]]) ).

thf(59,plain,
    ! [SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[55:[bind(SV9,$thf( lBill_THFTYPE_i ))]]) ).

thf(60,plain,
    ! [SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[47:[bind(SV10,$thf( n2009_THFTYPE_i ))]]) ).

thf(61,plain,
    ! [SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(rename,[status(thm)],[40]) ).

thf(66,plain,
    ! [SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false ) ),
    inference(res,[status(thm)],[61,12]) ).

thf(67,plain,
    ! [SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(res,[status(thm)],[61,12]) ).

thf(69,plain,
    ! [SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( ( sK2_SX0 @ SV11 )
          = lBill_THFTYPE_i )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[67]) ).

thf(70,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[66:[bind(SV11,$thf( lBill_THFTYPE_i ))]]) ).

thf(71,plain,
    ! [SV12: $i,SV13: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(rename,[status(thm)],[42]) ).

thf(76,plain,
    ! [SV12: $i,SV13: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false ) ),
    inference(res,[status(thm)],[71,61]) ).

thf(77,plain,
    ! [SV12: $i,SV13: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(res,[status(thm)],[71,61]) ).

thf(79,plain,
    ! [SV12: $i,SV13: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[71,47]) ).

thf(80,plain,
    ! [SV12: $i,SV13: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[71,47]) ).

thf(87,plain,
    ! [SV12: $i,SV13: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[71,12]) ).

thf(88,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[87:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV12,$thf( lBill_THFTYPE_i ))]]) ).

thf(89,plain,
    ! [SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[87:[bind(SV12,$thf( lBill_THFTYPE_i ))]]) ).

thf(90,plain,
    ! [SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV12,$thf( SV9 )),bind(SV13,$thf( n2009_THFTYPE_i ))]]) ).

thf(91,plain,
    ! [SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV12,$thf( SV9 )),bind(SV13,$thf( n2009_THFTYPE_i ))]]) ).

thf(92,plain,
    ! [SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV12,$thf( SV9 )),bind(SV13,$thf( SV10 ))]]) ).

thf(93,plain,
    ! [SV12: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 )
          = ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV13,$thf( n2009_THFTYPE_i ))]]) ).

thf(94,plain,
    ! [SV12: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 )
          = ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[80:[bind(SV13,$thf( n2009_THFTYPE_i ))]]) ).

thf(95,plain,
    ! [SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV9,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ))]]) ).

thf(96,plain,
    ! [SV12: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV9,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ))]]) ).

thf(97,plain,
    ! [SV12: $i,SV13: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV9,$thf( sK1_SX0 @ SV13 @ SV12 ))]]) ).

thf(98,plain,
    ! [SV12: $i,SV13: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ ( sK1_SX0 @ SV13 @ SV12 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[79:[bind(SV9,$thf( sK1_SX0 @ SV13 @ SV12 ))]]) ).

thf(99,plain,
    ! [SV12: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 )
          = ( sK2_SX0 @ SV11 ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[77:[bind(SV13,$thf( n2009_THFTYPE_i ))]]) ).

thf(100,plain,
    ! [SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[76:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV11,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ))]]) ).

thf(101,plain,
    ! [SV12: $i,SV13: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ ( sK1_SX0 @ SV13 @ SV12 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[76:[bind(SV11,$thf( sK1_SX0 @ SV13 @ SV12 ))]]) ).

thf(102,plain,
    ! [SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[71:[bind(SV13,$thf( n2009_THFTYPE_i ))]]) ).

thf(103,plain,
    ! [SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[92]) ).

thf(104,plain,
    ! [SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[91]) ).

thf(105,plain,
    ! [SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[90]) ).

thf(106,plain,
    ! [SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(rename,[status(thm)],[43]) ).

thf(110,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,106]) ).

thf(112,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,106]) ).

thf(113,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,106]) ).

thf(114,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,106]) ).

thf(117,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV12: $i,SV13: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,71]) ).

thf(118,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV12: $i,SV13: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,71]) ).

thf(120,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV12: $i,SV13: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,71]) ).

thf(121,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false ) ),
    inference(res,[status(thm)],[106,61]) ).

thf(122,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false ) ),
    inference(res,[status(thm)],[106,61]) ).

thf(123,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(res,[status(thm)],[106,61]) ).

thf(124,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(res,[status(thm)],[106,61]) ).

thf(127,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,47]) ).

thf(128,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,47]) ).

thf(129,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,47]) ).

thf(130,plain,
    ! [SV14: $i,SV15: $i,SV16: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,47]) ).

thf(138,plain,
    ! [SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[106,12]) ).

thf(139,plain,
    ! [SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[138:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( lBill_THFTYPE_i ))]]) ).

thf(140,plain,
    ! [SV15: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[138:[bind(SV16,$thf( lBill_THFTYPE_i ))]]) ).

thf(141,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[130:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ))]]) ).

thf(142,plain,
    ! [SV15: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[130:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK1_SX0 @ SV10 @ SV9 ))]]) ).

thf(143,plain,
    ! [SV15: $i,SV14: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[130:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ))]]) ).

thf(144,plain,
    ! [SV15: $i,SV14: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[130:[bind(SV16,$thf( sK1_SX0 @ SV10 @ SV9 ))]]) ).

thf(145,plain,
    ! [SV16: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[129:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ))]]) ).

thf(146,plain,
    ! [SV16: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[129:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( sK1_SX0 @ SV10 @ SV9 ))]]) ).

thf(147,plain,
    ! [SV16: $i,SV14: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[129:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ))]]) ).

thf(148,plain,
    ! [SV16: $i,SV14: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[129:[bind(SV15,$thf( sK1_SX0 @ SV10 @ SV9 ))]]) ).

thf(149,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV9 )
        = $false ) ),
    inference(extuni,[status(esa)],[128:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV9 ))]]) ).

thf(150,plain,
    ! [SV15: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV9 )
        = $false ) ),
    inference(extuni,[status(esa)],[128:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV9 ))]]) ).

thf(151,plain,
    ! [SV15: $i,SV14: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV9 )
        = $false ) ),
    inference(extuni,[status(esa)],[128:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV9 ))]]) ).

thf(152,plain,
    ! [SV15: $i,SV14: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV9 )
        = $false ) ),
    inference(extuni,[status(esa)],[128:[bind(SV16,$thf( SV9 ))]]) ).

thf(153,plain,
    ! [SV16: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[127:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV9 ))]]) ).

thf(154,plain,
    ! [SV16: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[127:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV9 ))]]) ).

thf(155,plain,
    ! [SV16: $i,SV14: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[127:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV9 ))]]) ).

thf(156,plain,
    ! [SV16: $i,SV14: $i,SV9: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[127:[bind(SV15,$thf( SV9 ))]]) ).

thf(157,plain,
    ! [SV15: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[124:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK2_SX0 @ SV11 ))]]) ).

thf(158,plain,
    ! [SV15: $i,SV14: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[124:[bind(SV16,$thf( sK2_SX0 @ SV11 ))]]) ).

thf(159,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[123:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( sK2_SX0 @ SV11 ))]]) ).

thf(160,plain,
    ! [SV16: $i,SV14: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[123:[bind(SV15,$thf( sK2_SX0 @ SV11 ))]]) ).

thf(161,plain,
    ! [SV15: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(extuni,[status(esa)],[122:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV11 ))]]) ).

thf(162,plain,
    ! [SV15: $i,SV14: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(extuni,[status(esa)],[122:[bind(SV16,$thf( SV11 ))]]) ).

thf(163,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[121:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV11 ))]]) ).

thf(164,plain,
    ! [SV16: $i,SV14: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[121:[bind(SV15,$thf( SV11 ))]]) ).

thf(165,plain,
    ! [SV15: $i,SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[120:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ))]]) ).

thf(166,plain,
    ! [SV15: $i,SV12: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[120:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK1_SX0 @ SV13 @ SV12 ))]]) ).

thf(167,plain,
    ! [SV15: $i,SV14: $i,SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[120:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ))]]) ).

thf(168,plain,
    ! [SV15: $i,SV14: $i,SV12: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[120:[bind(SV16,$thf( sK1_SX0 @ SV13 @ SV12 ))]]) ).

thf(169,plain,
    ! [SV15: $i,SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV12 )
        = $false ) ),
    inference(extuni,[status(esa)],[118:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV12 ))]]) ).

thf(170,plain,
    ! [SV15: $i,SV12: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV12 )
        = $false ) ),
    inference(extuni,[status(esa)],[118:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV12 ))]]) ).

thf(171,plain,
    ! [SV15: $i,SV14: $i,SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV12 )
        = $false ) ),
    inference(extuni,[status(esa)],[118:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV12 ))]]) ).

thf(172,plain,
    ! [SV15: $i,SV14: $i,SV12: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV12 )
        = $false ) ),
    inference(extuni,[status(esa)],[118:[bind(SV16,$thf( SV12 ))]]) ).

thf(173,plain,
    ! [SV16: $i,SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[117:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV12 ))]]) ).

thf(174,plain,
    ! [SV16: $i,SV12: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[117:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV12 ))]]) ).

thf(175,plain,
    ! [SV16: $i,SV14: $i,SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[117:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV12 ))]]) ).

thf(176,plain,
    ! [SV16: $i,SV14: $i,SV12: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[117:[bind(SV15,$thf( SV12 ))]]) ).

thf(177,plain,
    ! [SV16: $i,SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[114:[bind(SV14,$thf( n2009_THFTYPE_i ))]]) ).

thf(178,plain,
    ! [SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[113:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV16 ))]]) ).

thf(179,plain,
    ! [SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[113:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV15,$thf( SV16 ))]]) ).

thf(180,plain,
    ! [SV16: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[113:[bind(SV15,$thf( SV16 ))]]) ).

thf(181,plain,
    ! [SV16: $i,SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[112:[bind(SV14,$thf( n2009_THFTYPE_i ))]]) ).

thf(182,plain,
    ! [SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV15 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[110:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV15 ))]]) ).

thf(183,plain,
    ! [SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV15 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[110:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( SV15 ))]]) ).

thf(184,plain,
    ! [SV15: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV15 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[110:[bind(SV16,$thf( SV15 ))]]) ).

thf(185,plain,
    ! [SV16: $i,SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false ) ),
    inference(extuni,[status(esa)],[106:[bind(SV14,$thf( n2009_THFTYPE_i ))]]) ).

thf(186,plain,
    ! [SV16: $i,SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[177]) ).

thf(187,plain,
    ! [SV16: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[180]) ).

thf(188,plain,
    ! [SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[179]) ).

thf(189,plain,
    ! [SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[178]) ).

thf(190,plain,
    ! [SV16: $i,SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[181]) ).

thf(191,plain,
    ! [SV15: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV15 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[184]) ).

thf(192,plain,
    ! [SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV15 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[183]) ).

thf(193,plain,
    ! [SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV15 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[182]) ).

thf(194,plain,
    ! [SV17: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false ) ),
    inference(rename,[status(thm)],[44]) ).

thf(198,plain,
    ! [SV17: $i,SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[194,106]) ).

thf(199,plain,
    ! [SV17: $i,SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[194,106]) ).

thf(200,plain,
    ! [SV17: $i,SV14: $i,SV15: $i,SV16: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[194,106]) ).

thf(202,plain,
    ! [SV17: $i,SV12: $i,SV13: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[194,71]) ).

thf(203,plain,
    ! [SV17: $i,SV12: $i,SV13: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ SV12 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[194,71]) ).

thf(204,plain,
    ! [SV17: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) )
        = $false ) ),
    inference(res,[status(thm)],[194,61]) ).

thf(205,plain,
    ! [SV17: $i,SV11: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV11 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(res,[status(thm)],[194,61]) ).

thf(207,plain,
    ! [SV17: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[194,47]) ).

thf(208,plain,
    ! [SV17: $i,SV9: $i,SV10: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
          = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ SV9 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(res,[status(thm)],[194,47]) ).

thf(212,plain,
    ! [SV17: $i] :
      ( ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
          = ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
        = $true ) ),
    inference(res,[status(thm)],[194,12]) ).

thf(213,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[212:[bind(SV17,$thf( lBill_THFTYPE_i ))]]) ).

thf(214,plain,
    ! [SV17: $i,SV9: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV9 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( ( sK2_SX0 @ SV17 )
          = ( sK1_SX0 @ n2009_THFTYPE_i @ SV9 ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[208:[bind(SV10,$thf( n2009_THFTYPE_i ))]]) ).

thf(215,plain,
    ! [SV17: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ ( sK2_SX0 @ SV17 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[207:[bind(SV10,$thf( n2009_THFTYPE_i )),bind(SV9,$thf( sK2_SX0 @ SV17 ))]]) ).

thf(216,plain,
    ! [SV17: $i,SV10: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV10 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK1_SX0 @ SV10 @ ( sK2_SX0 @ SV17 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[207:[bind(SV9,$thf( sK2_SX0 @ SV17 ))]]) ).

thf(217,plain,
    ! [SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[205:[bind(SV17,$thf( SV11 ))]]) ).

thf(218,plain,
    ! [SV17: $i,SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( ( sK2_SX0 @ SV17 )
          = ( sK2_SX0 @ SV11 ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[205]) ).

thf(219,plain,
    ! [SV17: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ ( sK2_SX0 @ SV17 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[204:[bind(SV11,$thf( sK2_SX0 @ SV17 ))]]) ).

thf(220,plain,
    ! [SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ ( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ) ) )
        = $true )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[203:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV17,$thf( sK1_SX0 @ n2009_THFTYPE_i @ SV12 ))]]) ).

thf(221,plain,
    ! [SV12: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ ( sK1_SX0 @ SV13 @ SV12 ) ) )
        = $true )
      | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[203:[bind(SV17,$thf( sK1_SX0 @ SV13 @ SV12 ))]]) ).

thf(222,plain,
    ! [SV17: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ n2009_THFTYPE_i @ ( sK2_SX0 @ SV17 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[202:[bind(SV13,$thf( n2009_THFTYPE_i )),bind(SV12,$thf( sK2_SX0 @ SV17 ))]]) ).

thf(223,plain,
    ! [SV17: $i,SV13: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV13 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK1_SX0 @ SV13 @ ( sK2_SX0 @ SV17 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[202:[bind(SV12,$thf( sK2_SX0 @ SV17 ))]]) ).

thf(224,plain,
    ! [SV17: $i,SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false ) ),
    inference(extuni,[status(esa)],[200:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV16,$thf( sK2_SX0 @ SV17 ))]]) ).

thf(225,plain,
    ! [SV17: $i,SV15: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( sK2_SX0 @ SV17 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV17 )
        = $false ) ),
    inference(extuni,[status(esa)],[200:[bind(SV16,$thf( sK2_SX0 @ SV17 ))]]) ).

thf(226,plain,
    ! [SV16: $i,SV15: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV16 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[199:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV17,$thf( SV16 ))]]) ).

thf(227,plain,
    ! [SV16: $i,SV15: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV15 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV16 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[199:[bind(SV17,$thf( SV16 ))]]) ).

thf(228,plain,
    ! [SV15: $i,SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV15 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[198:[bind(SV14,$thf( n2009_THFTYPE_i )),bind(SV17,$thf( SV15 ))]]) ).

thf(229,plain,
    ! [SV15: $i,SV16: $i,SV14: $i] :
      ( ( ( ( lYearFn_THFTYPE_IiiI @ SV14 )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ ( sK2_SX0 @ SV15 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[198:[bind(SV17,$thf( SV15 ))]]) ).

thf(230,plain,
    ! [SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[217]) ).

thf(231,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[12,230,229,228,227,226,225,224,223,222,221,220,219,218,216,215,214,213,194,193,192,191,190,189,188,187,186,185,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,106,105,104,103,102,101,100,99,98,97,96,95,94,93,89,88,71,70,69,61,60,59,58,57,47,46,45,22,21,16]) ).

thf(232,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[231]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR149^1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 11 15:34:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 3
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.35  (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full)......
% 1.09/1.31  
% 1.09/1.31  ********************************
% 1.09/1.31  *   All subproblems solved!    *
% 1.09/1.31  ********************************
% 1.09/1.31  % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:231,loop_count:10,foatp_calls:2,translation:fof_full)
% 1.15/1.35  
% 1.15/1.35  %**** Beginning of derivation protocol ****
% 1.15/1.35  % SZS output start CNFRefutation
% See solution above
% 1.15/1.35  
% 1.15/1.35  %**** End of derivation protocol ****
% 1.15/1.35  %**** no. of clauses in derivation: 183 ****
% 1.15/1.35  %**** clause counter: 231 ****
% 1.15/1.35  
% 1.15/1.35  % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:231,loop_count:10,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------