TSTP Solution File: CSR130^1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : CSR130^1 : 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 : n029.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 21:37:19 EDT 2022

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  310 (  36 unt;  30 typ;   0 def)
%            Number of atoms       : 1650 ( 669 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives : 3094 ( 696   ~; 537   |;  12   &;1849   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  569 ( 569   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   32 (  29 usr;   9 con; 0-2 aty)
%            Number of variables   :  603 (   0   ^ 599   !;   4   ?; 603   :)

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

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

thf(tp_lAnna_THFTYPE_i,type,
    lAnna_THFTYPE_i: $i ).

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

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

thf(tp_lBob_THFTYPE_i,type,
    lBob_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_parent_THFTYPE_IiioI,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_sK10_SY5,type,
    sK10_SY5: ( $i > $i > $o ) > $i ).

thf(tp_sK11_SY6,type,
    sK11_SY6: ( $i > $i > $o ) > $i ).

thf(tp_sK12_SY7,type,
    sK12_SY7: ( $i > $i > $o ) > $i ).

thf(tp_sK13_SY8,type,
    sK13_SY8: ( $i > $i > $o ) > $i ).

thf(tp_sK14_SY9,type,
    sK14_SY9: ( $i > $i > $o ) > $i ).

thf(tp_sK15_SY10,type,
    sK15_SY10: ( $i > $i > $o ) > $i ).

thf(tp_sK16_SY11,type,
    sK16_SY11: ( $i > $i > $o ) > $i ).

thf(tp_sK17_SY12,type,
    sK17_SY12: ( $i > $i > $o ) > $i ).

thf(tp_sK18_SY13,type,
    sK18_SY13: ( $i > $i > $o ) > $i ).

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

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

thf(tp_sK3_SX0,type,
    sK3_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK4_SX0,type,
    sK4_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK5_SX0,type,
    sK5_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK6_SX0,type,
    sK6_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK7_SX0,type,
    sK7_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK8_SX0,type,
    sK8_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK9_SX0,type,
    sK9_SX0: ( $i > $i > $o ) > $i ).

thf(1,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).

thf(2,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).

thf(3,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(4,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).

thf(5,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).

thf(6,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(7,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).

thf(8,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

thf(9,conjecture,
    ? [R: $i > $i > $o] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(10,negated_conjecture,
    ( ( ? [R: $i > $i > $o] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
            & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[9]) ).

thf(11,plain,
    ( ( ? [R: $i > $i > $o] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
            & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(12,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(13,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(14,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(15,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(16,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(17,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(18,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(19,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(20,plain,
    ( ( ~ ? [R: $i > $i > $o] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[11]) ).

thf(21,plain,
    ( ( ! [R: $i > $i > $o] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(22,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(23,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(24,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(25,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(26,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(27,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(28,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(29,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(30,plain,
    ( ( ! [R: $i > $i > $o] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(31,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                      | ~ ( SX0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
                | ~ ~ ! [SX1: $i,SX2: $i] : ( SX0 @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(32,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                      | ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
                | ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(33,plain,
    ! [SV1: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ( SV1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                  | ~ ( SV1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
            | ~ ~ ! [SY3: $i,SY4: $i] : ( SV1 @ SY3 @ SY4 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(34,plain,
    ! [SV2: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                  | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
            | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
      = $false ),
    inference(rename,[status(thm)],[33]) ).

thf(35,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,29]) ).

thf(36,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,28]) ).

thf(37,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,27]) ).

thf(38,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,26]) ).

thf(39,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,25]) ).

thf(40,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,24]) ).

thf(41,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,23]) ).

thf(42,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[34,22]) ).

thf(43,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[42]) ).

thf(44,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[42]) ).

thf(45,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[41]) ).

thf(46,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[41]) ).

thf(47,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[40]) ).

thf(48,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[40]) ).

thf(49,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[39]) ).

thf(50,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[39]) ).

thf(51,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[38]) ).

thf(52,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[38]) ).

thf(53,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[37]) ).

thf(54,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[37]) ).

thf(55,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[36]) ).

thf(56,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[36]) ).

thf(57,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[35]) ).

thf(58,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[35]) ).

thf(59,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[35]) ).

thf(60,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[35]) ).

thf(61,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[44]) ).

thf(62,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(63,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[46]) ).

thf(64,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(65,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[48]) ).

thf(66,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(67,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[50]) ).

thf(68,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[49]) ).

thf(69,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(70,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(71,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[54]) ).

thf(72,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(73,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(74,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(75,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[60]) ).

thf(76,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(77,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[58]) ).

thf(78,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[58]) ).

thf(79,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(80,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(81,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[62]) ).

thf(82,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[62]) ).

thf(83,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[63]) ).

thf(84,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[64]) ).

thf(85,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[64]) ).

thf(86,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[65]) ).

thf(87,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(88,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(89,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[67]) ).

thf(90,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[68]) ).

thf(91,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[68]) ).

thf(92,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[69]) ).

thf(93,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[70]) ).

thf(94,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[70]) ).

thf(95,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[71]) ).

thf(96,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(97,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(98,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[73]) ).

thf(99,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(100,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(101,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[75]) ).

thf(102,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(103,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(104,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[77]) ).

thf(105,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[78]) ).

thf(106,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(107,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(108,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[81]) ).

thf(109,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(110,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(111,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(112,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(113,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(114,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[87]) ).

thf(115,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[88]) ).

thf(116,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(117,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[90]) ).

thf(118,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[91]) ).

thf(119,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(120,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[93]) ).

thf(121,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[94]) ).

thf(122,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[95]) ).

thf(123,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[96]) ).

thf(124,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[97]) ).

thf(125,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(126,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[99]) ).

thf(127,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[100]) ).

thf(128,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(129,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[102]) ).

thf(130,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[103]) ).

thf(131,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(132,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(133,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[106]) ).

thf(134,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[107]) ).

thf(135,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(136,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(137,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[110]) ).

thf(138,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[111]) ).

thf(139,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(140,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(141,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[114]) ).

thf(142,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(143,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[116]) ).

thf(144,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[117]) ).

thf(145,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(146,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[119]) ).

thf(147,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[120]) ).

thf(148,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(149,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(150,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[123]) ).

thf(151,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(152,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[125]) ).

thf(153,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(154,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(155,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[128]) ).

thf(156,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(157,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(158,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[131]) ).

thf(159,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[131]) ).

thf(160,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY5: $i] : ( SV2 @ ( sK1_SX0 @ SV2 ) @ SY5 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[132]) ).

thf(161,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[133]) ).

thf(162,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[134]) ).

thf(163,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(164,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(165,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY6: $i] : ( SV2 @ ( sK2_SX0 @ SV2 ) @ SY6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[136]) ).

thf(166,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[137]) ).

thf(167,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(168,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(169,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY7: $i] : ( SV2 @ ( sK3_SX0 @ SV2 ) @ SY7 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[139]) ).

thf(170,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[140]) ).

thf(171,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[141]) ).

thf(172,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[141]) ).

thf(173,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY8: $i] : ( SV2 @ ( sK4_SX0 @ SV2 ) @ SY8 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[142]) ).

thf(174,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[143]) ).

thf(175,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(176,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(177,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY9: $i] : ( SV2 @ ( sK5_SX0 @ SV2 ) @ SY9 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[145]) ).

thf(178,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[146]) ).

thf(179,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[147]) ).

thf(180,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[147]) ).

thf(181,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY10: $i] : ( SV2 @ ( sK6_SX0 @ SV2 ) @ SY10 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[148]) ).

thf(182,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[149]) ).

thf(183,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[150]) ).

thf(184,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[150]) ).

thf(185,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY11: $i] : ( SV2 @ ( sK7_SX0 @ SV2 ) @ SY11 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[151]) ).

thf(186,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[152]) ).

thf(187,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[153]) ).

thf(188,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[153]) ).

thf(189,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY12: $i] : ( SV2 @ ( sK8_SX0 @ SV2 ) @ SY12 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[154]) ).

thf(190,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[155]) ).

thf(191,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[156]) ).

thf(192,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[156]) ).

thf(193,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SY13: $i] : ( SV2 @ ( sK9_SX0 @ SV2 ) @ SY13 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[157]) ).

thf(194,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[158]) ).

thf(195,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[159]) ).

thf(196,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK1_SX0 @ SV2 ) @ ( sK10_SY5 @ SV2 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[160]) ).

thf(197,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[161]) ).

thf(198,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(199,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[163]) ).

thf(200,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[164]) ).

thf(201,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK2_SX0 @ SV2 ) @ ( sK11_SY6 @ SV2 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[165]) ).

thf(202,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(203,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[167]) ).

thf(204,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[168]) ).

thf(205,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK3_SX0 @ SV2 ) @ ( sK12_SY7 @ SV2 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[169]) ).

thf(206,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[170]) ).

thf(207,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[171]) ).

thf(208,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[172]) ).

thf(209,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK4_SX0 @ SV2 ) @ ( sK13_SY8 @ SV2 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[173]) ).

thf(210,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[174]) ).

thf(211,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[175]) ).

thf(212,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[176]) ).

thf(213,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK5_SX0 @ SV2 ) @ ( sK14_SY9 @ SV2 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[177]) ).

thf(214,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(215,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[179]) ).

thf(216,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[180]) ).

thf(217,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK6_SX0 @ SV2 ) @ ( sK15_SY10 @ SV2 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[181]) ).

thf(218,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(219,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[183]) ).

thf(220,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[184]) ).

thf(221,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK7_SX0 @ SV2 ) @ ( sK16_SY11 @ SV2 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[185]) ).

thf(222,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(223,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[187]) ).

thf(224,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[188]) ).

thf(225,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK8_SX0 @ SV2 ) @ ( sK17_SY12 @ SV2 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[189]) ).

thf(226,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(227,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[191]) ).

thf(228,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[192]) ).

thf(229,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ ( sK9_SX0 @ SV2 ) @ ( sK18_SY13 @ SV2 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[193]) ).

thf(230,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(231,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(232,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[202]) ).

thf(233,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(234,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(235,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(236,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(237,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(238,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(239,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(240,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(241,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV2 @ ( sK9_SX0 @ SV2 ) @ ( sK18_SY13 @ SV2 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[229]) ).

thf(242,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(243,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[231]) ).

thf(244,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[232]) ).

thf(245,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(246,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(247,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(248,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(249,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(250,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(251,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(252,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[243]) ).

thf(253,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(254,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[245]) ).

thf(255,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[246]) ).

thf(256,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[247]) ).

thf(257,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[248]) ).

thf(258,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[249]) ).

thf(259,plain,
    ! [SV2: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV2 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[250]) ).

thf(260,plain,
    ! [SV3: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY14: $i] : ( SV2 @ SV3 @ SY14 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(261,plain,
    ! [SV4: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY15: $i] : ( SV2 @ SV4 @ SY15 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(262,plain,
    ! [SV5: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY16: $i] : ( SV2 @ SV5 @ SY16 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(263,plain,
    ! [SV6: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY17: $i] : ( SV2 @ SV6 @ SY17 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(264,plain,
    ! [SV7: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY18: $i] : ( SV2 @ SV7 @ SY18 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(265,plain,
    ! [SV8: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY19: $i] : ( SV2 @ SV8 @ SY19 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(266,plain,
    ! [SV9: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY20: $i] : ( SV2 @ SV9 @ SY20 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(267,plain,
    ! [SV10: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY21: $i] : ( SV2 @ SV10 @ SY21 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(268,plain,
    ! [SV11: $i,SV2: $i > $i > $o] :
      ( ( ( ! [SY22: $i] : ( SV2 @ SV11 @ SY22 ) )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(269,plain,
    ! [SV12: $i,SV3: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV3 @ SV12 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(270,plain,
    ! [SV13: $i,SV4: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV4 @ SV13 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(271,plain,
    ! [SV14: $i,SV5: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV5 @ SV14 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(272,plain,
    ! [SV15: $i,SV6: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV6 @ SV15 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(273,plain,
    ! [SV16: $i,SV7: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV7 @ SV16 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(274,plain,
    ! [SV17: $i,SV8: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV8 @ SV17 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(275,plain,
    ! [SV18: $i,SV9: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV9 @ SV18 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(276,plain,
    ! [SV19: $i,SV10: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV10 @ SV19 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(277,plain,
    ! [SV20: $i,SV11: $i,SV2: $i > $i > $o] :
      ( ( ( SV2 @ SV11 @ SV20 )
        = $true )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(278,plain,
    ! [SV20: $i,SV11: $i,SV2: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV2 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV2 @ SV11 @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[277]) ).

thf(279,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[22,278,276,275,274,273,272,271,270,269,241,240,239,225,224,223,221,220,219,217,216,215,213,212,211,209,208,207,205,204,203,201,200,199,196,195,194,34,29,28,27,26,25,24,23]) ).

thf(280,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[279]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR130^1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 10 19:01:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 8
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.35  (rf:0,axioms:8,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:10,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.20/0.48  
% 0.20/0.48  ********************************
% 0.20/0.48  *   All subproblems solved!    *
% 0.20/0.48  ********************************
% 0.20/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:279,loop_count:10,foatp_calls:2,translation:fof_full)
% 0.20/0.53  
% 0.20/0.53  %**** Beginning of derivation protocol ****
% 0.20/0.53  % SZS output start CNFRefutation
% See solution above
% 0.37/0.53  
% 0.37/0.53  %**** End of derivation protocol ****
% 0.37/0.53  %**** no. of clauses in derivation: 280 ****
% 0.37/0.53  %**** clause counter: 279 ****
% 0.37/0.53  
% 0.37/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:279,loop_count:10,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------