TSTP Solution File: CSR131^1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : CSR131^1 : 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 : n023.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 21:37:20 EDT 2022

% Result   : Theorem 76.88s 77.15s
% Output   : CNFRefutation 77.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  692 (  38 unt;  64 typ;   0 def)
%            Number of atoms       : 4245 (1811 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives : 8641 (2298   ~;1565   |;  15   &;4763   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 2089 (2089   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  63 usr;   9 con; 0-2 aty)
%            Number of variables   : 2894 (  80   ^2805   !;   9   ?;2894   :)

% 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_SX0,type,
    sK10_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK11_SY672,type,
    sK11_SY672: ( $i > $i > $o ) > $i ).

thf(tp_sK12_SX0,type,
    sK12_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK13_SX0,type,
    sK13_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK14_SX0,type,
    sK14_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK15_SX0,type,
    sK15_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK16_SY673,type,
    sK16_SY673: ( $i > $i > $o ) > $i ).

thf(tp_sK17_SY674,type,
    sK17_SY674: ( $i > $i > $o ) > $i ).

thf(tp_sK18_SY675,type,
    sK18_SY675: ( $i > $i > $o ) > $i ).

thf(tp_sK19_SY676,type,
    sK19_SY676: ( $i > $i > $o ) > $i ).

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

thf(tp_sK20_SY677,type,
    sK20_SY677: ( $i > $i > $o ) > $i ).

thf(tp_sK21_SY678,type,
    sK21_SY678: ( $i > $i > $o ) > $i ).

thf(tp_sK22_SY679,type,
    sK22_SY679: ( $i > $i > $o ) > $i ).

thf(tp_sK23_SY680,type,
    sK23_SY680: ( $i > $i > $o ) > $i ).

thf(tp_sK24_SY681,type,
    sK24_SY681: ( $i > $i > $o ) > $i ).

thf(tp_sK25_SY682,type,
    sK25_SY682: ( $i > $i > $o ) > $i ).

thf(tp_sK26_SY683,type,
    sK26_SY683: ( $i > $i > $o ) > $i ).

thf(tp_sK27_SX0,type,
    sK27_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK28_SX0,type,
    sK28_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK29_SX0,type,
    sK29_SX0: ( $i > $i > $o ) > $i ).

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

thf(tp_sK30_SX0,type,
    sK30_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK31_SX0,type,
    sK31_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK32_SX0,type,
    sK32_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK33_SY684,type,
    sK33_SY684: ( $i > $i > $o ) > $i ).

thf(tp_sK34_SX0,type,
    sK34_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK35_SX0,type,
    sK35_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK36_SX0,type,
    sK36_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK37_SY685,type,
    sK37_SY685: ( $i > $i > $o ) > $i ).

thf(tp_sK38_SX0,type,
    sK38_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK39_SX0,type,
    sK39_SX0: ( $i > $i > $o ) > $i ).

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

thf(tp_sK40_SX0,type,
    sK40_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK41_SX0,type,
    sK41_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK42_SY686,type,
    sK42_SY686: ( $i > $i > $o ) > $i ).

thf(tp_sK43_SY687,type,
    sK43_SY687: ( $i > $i > $o ) > $i ).

thf(tp_sK44_SY688,type,
    sK44_SY688: ( $i > $i > $o ) > $i ).

thf(tp_sK45_SY689,type,
    sK45_SY689: ( $i > $i > $o ) > $i ).

thf(tp_sK46_SY690,type,
    sK46_SY690: ( $i > $i > $o ) > $i ).

thf(tp_sK47_SY691,type,
    sK47_SY691: ( $i > $i > $o ) > $i ).

thf(tp_sK48_SY692,type,
    sK48_SY692: ( $i > $i > $o ) > $i ).

thf(tp_sK49_SY693,type,
    sK49_SY693: ( $i > $i > $o ) > $i ).

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

thf(tp_sK50_SY694,type,
    sK50_SY694: ( $i > $i > $o ) > $i ).

thf(tp_sK51_SY695,type,
    sK51_SY695: ( $i > $i > $o ) > $i ).

thf(tp_sK52_SY696,type,
    sK52_SY696: ( $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_SY671,type,
    sK7_SY671: ( $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_009) ).

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_008) ).

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_007) ).

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_006) ).

thf(5,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(6,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_004) ).

thf(7,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_003) ).

thf(8,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(9,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(10,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(11,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( R @ Y @ lBill_THFTYPE_i )
        & ( Q @ Y @ lAnna_THFTYPE_i )
        & ~ ! [A: $i,B: $i] : ( R @ A @ B )
        & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(12,negated_conjecture,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ Y @ lBill_THFTYPE_i )
            & ( Q @ Y @ lAnna_THFTYPE_i )
            & ~ ! [A: $i,B: $i] : ( R @ A @ B )
            & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[11]) ).

thf(13,plain,
    ( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B )
              & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[12]) ).

thf(14,plain,
    ( ( ! [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B )
              & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[13]) ).

thf(15,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(16,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(17,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(18,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(19,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[6]) ).

thf(20,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(21,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[4]) ).

thf(22,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[3]) ).

thf(23,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[2]) ).

thf(24,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[1]) ).

thf(25,plain,
    ( ( ! [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B )
              & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(26,plain,
    ( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o,SX2: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
                            | ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
                      | ~ ~ ! [SX3: $i,SX4: $i] : ( SX1 @ SX3 @ SX4 ) )
                | ~ ~ ! [SX3: $i,SX4: $i] : ( SX0 @ SX3 @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(27,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ! [SY656: $i > $i > $o,SY657: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ~ ( ~ ( SY656 @ SY657 @ lBill_THFTYPE_i )
                              | ~ ( SV1 @ SY657 @ lAnna_THFTYPE_i ) )
                        | ~ ~ ! [SX3: $i,SX4: $i] : ( SY656 @ SX3 @ SX4 ) )
                  | ~ ~ ! [SY660: $i,SY661: $i] : ( SV1 @ SY660 @ SY661 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(28,plain,
    ! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
      ( ( ! [SY662: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SY662 @ lBill_THFTYPE_i )
                              | ~ ( SV1 @ SY662 @ lAnna_THFTYPE_i ) )
                        | ~ ~ ! [SY663: $i,SY664: $i] : ( SV2 @ SY663 @ SY664 ) )
                  | ~ ~ ! [SY660: $i,SY661: $i] : ( SV1 @ SY660 @ SY661 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(29,plain,
    ! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i )
                            | ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
                      | ~ ~ ! [SY663: $i,SY664: $i] : ( SV2 @ SY663 @ SY664 ) )
                | ~ ~ ! [SY660: $i,SY661: $i] : ( SV1 @ SY660 @ SY661 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[28]) ).

thf(30,plain,
    ! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i )
                        | ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
                  | ~ ~ ! [SY663: $i,SY664: $i] : ( SV2 @ SY663 @ SY664 ) )
            | ~ ~ ! [SY660: $i,SY661: $i] : ( SV1 @ SY660 @ SY661 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[29]) ).

thf(31,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                        | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                  | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
            | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
      = $false ),
    inference(rename,[status(thm)],[30]) ).

thf(32,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,24]) ).

thf(33,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,23]) ).

thf(34,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,22]) ).

thf(35,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,21]) ).

thf(36,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[31,20]) ).

thf(37,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,19]) ).

thf(38,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,18]) ).

thf(39,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[31,17]) ).

thf(40,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,16]) ).

thf(41,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ 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)],[31,15]) ).

thf(42,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[41]) ).

thf(43,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[41]) ).

thf(44,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[40]) ).

thf(45,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[40]) ).

thf(46,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[39]) ).

thf(47,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[39]) ).

thf(48,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[39]) ).

thf(49,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[39]) ).

thf(50,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[38]) ).

thf(51,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[38]) ).

thf(52,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[37]) ).

thf(53,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[37]) ).

thf(54,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[36]) ).

thf(55,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[36]) ).

thf(56,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[36]) ).

thf(57,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[36]) ).

thf(58,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[35]) ).

thf(59,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[35]) ).

thf(60,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[34]) ).

thf(61,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[34]) ).

thf(62,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[33]) ).

thf(63,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[33]) ).

thf(64,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[32]) ).

thf(65,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[32]) ).

thf(66,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[32]) ).

thf(67,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[32]) ).

thf(68,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[43]) ).

thf(69,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(70,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[45]) ).

thf(71,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[44]) ).

thf(72,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(73,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[48]) ).

thf(74,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[47]) ).

thf(75,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[47]) ).

thf(76,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(77,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[51]) ).

thf(78,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[50]) ).

thf(79,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[53]) ).

thf(80,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(81,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[57]) ).

thf(82,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(83,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[55]) ).

thf(84,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[55]) ).

thf(85,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(86,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[59]) ).

thf(87,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(88,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[61]) ).

thf(89,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(90,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[63]) ).

thf(91,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(92,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[67]) ).

thf(93,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(94,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(95,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(96,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(97,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[68]) ).

thf(98,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[69]) ).

thf(99,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[69]) ).

thf(100,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(101,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[71]) ).

thf(102,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[71]) ).

thf(103,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[72]) ).

thf(104,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(105,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(106,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[74]) ).

thf(107,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[75]) ).

thf(108,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(109,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(110,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(111,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(112,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[79]) ).

thf(113,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[80]) ).

thf(114,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[80]) ).

thf(115,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(116,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(117,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(118,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[83]) ).

thf(119,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(120,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[85]) ).

thf(121,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(122,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[87]) ).

thf(123,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[87]) ).

thf(124,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(125,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[89]) ).

thf(126,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[89]) ).

thf(127,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[90]) ).

thf(128,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[91]) ).

thf(129,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[91]) ).

thf(130,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(131,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[93]) ).

thf(132,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[93]) ).

thf(133,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[94]) ).

thf(134,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(135,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(136,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(137,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[98]) ).

thf(138,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[99]) ).

thf(139,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(140,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[101]) ).

thf(141,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[102]) ).

thf(142,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(143,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[104]) ).

thf(144,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[105]) ).

thf(145,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(146,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(147,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[108]) ).

thf(148,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(149,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[110]) ).

thf(150,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[111]) ).

thf(151,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(152,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(153,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(154,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(155,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[116]) ).

thf(156,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[117]) ).

thf(157,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(158,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(159,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[120]) ).

thf(160,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(161,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(162,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(163,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(164,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[125]) ).

thf(165,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[126]) ).

thf(166,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(167,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[128]) ).

thf(168,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(169,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(170,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[131]) ).

thf(171,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[132]) ).

thf(172,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[133]) ).

thf(173,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(174,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[135]) ).

thf(175,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[136]) ).

thf(176,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(177,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[138]) ).

thf(178,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[139]) ).

thf(179,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[140]) ).

thf(180,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[141]) ).

thf(181,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(182,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(183,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(184,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[145]) ).

thf(185,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[145]) ).

thf(186,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY671: $i] : ( SV4 @ ( sK1_SX0 @ SV4 ) @ SY671 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[146]) ).

thf(187,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[147]) ).

thf(188,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[148]) ).

thf(189,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(190,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[150]) ).

thf(191,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[151]) ).

thf(192,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(193,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(194,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[154]) ).

thf(195,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[155]) ).

thf(196,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[156]) ).

thf(197,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[157]) ).

thf(198,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[157]) ).

thf(199,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY672: $i] : ( SV4 @ ( sK2_SX0 @ SV4 ) @ SY672 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[158]) ).

thf(200,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[159]) ).

thf(201,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[160]) ).

thf(202,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[161]) ).

thf(203,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(204,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[163]) ).

thf(205,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[164]) ).

thf(206,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(207,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[166]) ).

thf(208,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[167]) ).

thf(209,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[168]) ).

thf(210,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[169]) ).

thf(211,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[170]) ).

thf(212,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[171]) ).

thf(213,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(214,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(215,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY673: $i] : ( SV4 @ ( sK3_SX0 @ SV4 ) @ SY673 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[173]) ).

thf(216,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(217,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(218,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(219,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(220,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY674: $i] : ( SV4 @ ( sK4_SX0 @ SV4 ) @ SY674 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[177]) ).

thf(221,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[178]) ).

thf(222,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[179]) ).

thf(223,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[179]) ).

thf(224,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY675: $i] : ( SV4 @ ( sK5_SX0 @ SV4 ) @ SY675 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[180]) ).

thf(225,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(226,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(227,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(228,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY676: $i] : ( SV4 @ ( sK6_SX0 @ SV4 ) @ SY676 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[183]) ).

thf(229,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[184]) ).

thf(230,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[185]) ).

thf(231,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK1_SX0 @ SV4 ) @ ( sK7_SY671 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[186]) ).

thf(232,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(233,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[188]) ).

thf(234,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[189]) ).

thf(235,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[189]) ).

thf(236,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY677: $i] : ( SV4 @ ( sK8_SX0 @ SV4 ) @ SY677 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[190]) ).

thf(237,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[191]) ).

thf(238,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[192]) ).

thf(239,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[192]) ).

thf(240,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY678: $i] : ( SV4 @ ( sK9_SX0 @ SV4 ) @ SY678 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[193]) ).

thf(241,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(242,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[195]) ).

thf(243,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[195]) ).

thf(244,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY679: $i] : ( SV4 @ ( sK10_SX0 @ SV4 ) @ SY679 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[196]) ).

thf(245,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[197]) ).

thf(246,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[198]) ).

thf(247,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK2_SX0 @ SV4 ) @ ( sK11_SY672 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[199]) ).

thf(248,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(249,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[201]) ).

thf(250,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[202]) ).

thf(251,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[202]) ).

thf(252,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY680: $i] : ( SV4 @ ( sK12_SX0 @ SV4 ) @ SY680 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[203]) ).

thf(253,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(254,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(255,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(256,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY681: $i] : ( SV4 @ ( sK13_SX0 @ SV4 ) @ SY681 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[206]) ).

thf(257,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[207]) ).

thf(258,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[208]) ).

thf(259,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[208]) ).

thf(260,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY682: $i] : ( SV4 @ ( sK14_SX0 @ SV4 ) @ SY682 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[209]) ).

thf(261,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[210]) ).

thf(262,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[211]) ).

thf(263,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[211]) ).

thf(264,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY683: $i] : ( SV4 @ ( sK15_SX0 @ SV4 ) @ SY683 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[212]) ).

thf(265,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(266,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[214]) ).

thf(267,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK3_SX0 @ SV4 ) @ ( sK16_SY673 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[215]) ).

thf(268,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(269,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(270,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[218]) ).

thf(271,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[219]) ).

thf(272,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK4_SX0 @ SV4 ) @ ( sK17_SY674 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[220]) ).

thf(273,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[221]) ).

thf(274,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[222]) ).

thf(275,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[223]) ).

thf(276,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK5_SX0 @ SV4 ) @ ( sK18_SY675 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[224]) ).

thf(277,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[225]) ).

thf(278,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[226]) ).

thf(279,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[227]) ).

thf(280,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK6_SX0 @ SV4 ) @ ( sK19_SY676 @ SV4 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[228]) ).

thf(281,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[229]) ).

thf(282,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(283,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(284,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(285,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[234]) ).

thf(286,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[235]) ).

thf(287,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK8_SX0 @ SV4 ) @ ( sK20_SY677 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[236]) ).

thf(288,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(289,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[238]) ).

thf(290,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[239]) ).

thf(291,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK9_SX0 @ SV4 ) @ ( sK21_SY678 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[240]) ).

thf(292,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(293,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(294,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[243]) ).

thf(295,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK10_SX0 @ SV4 ) @ ( sK22_SY679 @ SV4 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[244]) ).

thf(296,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[245]) ).

thf(297,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(298,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[248]) ).

thf(299,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(300,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[250]) ).

thf(301,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[251]) ).

thf(302,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK12_SX0 @ SV4 ) @ ( sK23_SY680 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[252]) ).

thf(303,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[253]) ).

thf(304,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[254]) ).

thf(305,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[255]) ).

thf(306,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK13_SX0 @ SV4 ) @ ( sK24_SY681 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[256]) ).

thf(307,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[257]) ).

thf(308,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[258]) ).

thf(309,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[259]) ).

thf(310,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK14_SX0 @ SV4 ) @ ( sK25_SY682 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[260]) ).

thf(311,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(312,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[262]) ).

thf(313,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[263]) ).

thf(314,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK15_SX0 @ SV4 ) @ ( sK26_SY683 @ SV4 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[264]) ).

thf(315,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[265]) ).

thf(316,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[266]) ).

thf(317,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[268]) ).

thf(318,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[269]) ).

thf(319,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[270]) ).

thf(320,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[271]) ).

thf(321,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(322,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[274]) ).

thf(323,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[275]) ).

thf(324,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[277]) ).

thf(325,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[278]) ).

thf(326,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[279]) ).

thf(327,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ ( sK6_SX0 @ SV4 ) @ ( sK19_SY676 @ SV4 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(328,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(329,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(330,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY684: $i] : ( SV6 @ ( sK27_SX0 @ SV6 ) @ SY684 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[282]) ).

thf(331,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[283]) ).

thf(332,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[284]) ).

thf(333,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[285]) ).

thf(334,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[286]) ).

thf(335,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[288]) ).

thf(336,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[289]) ).

thf(337,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[290]) ).

thf(338,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[292]) ).

thf(339,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[293]) ).

thf(340,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[294]) ).

thf(341,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV4 @ ( sK10_SX0 @ SV4 ) @ ( sK22_SY679 @ SV4 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[295]) ).

thf(342,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[296]) ).

thf(343,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[296]) ).

thf(344,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY685: $i] : ( SV6 @ ( sK28_SX0 @ SV6 ) @ SY685 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[297]) ).

thf(345,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[298]) ).

thf(346,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[299]) ).

thf(347,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[300]) ).

thf(348,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(349,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[303]) ).

thf(350,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[304]) ).

thf(351,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[305]) ).

thf(352,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[307]) ).

thf(353,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[308]) ).

thf(354,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(355,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[311]) ).

thf(356,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[312]) ).

thf(357,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[313]) ).

thf(358,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV4 @ ( sK15_SX0 @ SV4 ) @ ( sK26_SY683 @ SV4 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[314]) ).

thf(359,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[315]) ).

thf(360,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[315]) ).

thf(361,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY686: $i] : ( SV6 @ ( sK29_SX0 @ SV6 ) @ SY686 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[316]) ).

thf(362,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[317]) ).

thf(363,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(364,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(365,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(366,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY687: $i] : ( SV6 @ ( sK30_SX0 @ SV6 ) @ SY687 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[320]) ).

thf(367,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(368,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[322]) ).

thf(369,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[322]) ).

thf(370,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY688: $i] : ( SV6 @ ( sK31_SX0 @ SV6 ) @ SY688 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[323]) ).

thf(371,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(372,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[325]) ).

thf(373,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[325]) ).

thf(374,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY689: $i] : ( SV6 @ ( sK32_SX0 @ SV6 ) @ SY689 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[326]) ).

thf(375,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[328]) ).

thf(376,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[329]) ).

thf(377,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK27_SX0 @ SV6 ) @ ( sK33_SY684 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[330]) ).

thf(378,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(379,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[332]) ).

thf(380,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[333]) ).

thf(381,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[333]) ).

thf(382,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY690: $i] : ( SV6 @ ( sK34_SX0 @ SV6 ) @ SY690 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[334]) ).

thf(383,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(384,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(385,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(386,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY691: $i] : ( SV6 @ ( sK35_SX0 @ SV6 ) @ SY691 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[337]) ).

thf(387,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[338]) ).

thf(388,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[339]) ).

thf(389,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[339]) ).

thf(390,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY692: $i] : ( SV6 @ ( sK36_SX0 @ SV6 ) @ SY692 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[340]) ).

thf(391,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[342]) ).

thf(392,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(393,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK28_SX0 @ SV6 ) @ ( sK37_SY685 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[344]) ).

thf(394,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[345]) ).

thf(395,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(396,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[347]) ).

thf(397,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[347]) ).

thf(398,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY693: $i] : ( SV6 @ ( sK38_SX0 @ SV6 ) @ SY693 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[348]) ).

thf(399,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[349]) ).

thf(400,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(401,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(402,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY694: $i] : ( SV6 @ ( sK39_SX0 @ SV6 ) @ SY694 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[351]) ).

thf(403,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[352]) ).

thf(404,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[353]) ).

thf(405,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[353]) ).

thf(406,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY695: $i] : ( SV6 @ ( sK40_SX0 @ SV6 ) @ SY695 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[354]) ).

thf(407,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[355]) ).

thf(408,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[356]) ).

thf(409,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[356]) ).

thf(410,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY696: $i] : ( SV6 @ ( sK41_SX0 @ SV6 ) @ SY696 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[357]) ).

thf(411,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(412,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(413,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK29_SX0 @ SV6 ) @ ( sK42_SY686 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[361]) ).

thf(414,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(415,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(416,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(417,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[365]) ).

thf(418,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK30_SX0 @ SV6 ) @ ( sK43_SY687 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[366]) ).

thf(419,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(420,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[368]) ).

thf(421,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[369]) ).

thf(422,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK31_SX0 @ SV6 ) @ ( sK44_SY688 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[370]) ).

thf(423,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[371]) ).

thf(424,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[372]) ).

thf(425,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[373]) ).

thf(426,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK32_SX0 @ SV6 ) @ ( sK45_SY689 @ SV6 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[374]) ).

thf(427,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[378]) ).

thf(428,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[379]) ).

thf(429,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[380]) ).

thf(430,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[381]) ).

thf(431,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK34_SX0 @ SV6 ) @ ( sK46_SY690 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[382]) ).

thf(432,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(433,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[384]) ).

thf(434,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[385]) ).

thf(435,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK35_SX0 @ SV6 ) @ ( sK47_SY691 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[386]) ).

thf(436,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[387]) ).

thf(437,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[388]) ).

thf(438,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[389]) ).

thf(439,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK36_SX0 @ SV6 ) @ ( sK48_SY692 @ SV6 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[390]) ).

thf(440,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(441,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[395]) ).

thf(442,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[396]) ).

thf(443,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[397]) ).

thf(444,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK38_SX0 @ SV6 ) @ ( sK49_SY693 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[398]) ).

thf(445,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(446,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(447,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[401]) ).

thf(448,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK39_SX0 @ SV6 ) @ ( sK50_SY694 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[402]) ).

thf(449,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(450,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[404]) ).

thf(451,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[405]) ).

thf(452,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK40_SX0 @ SV6 ) @ ( sK51_SY695 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[406]) ).

thf(453,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(454,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[408]) ).

thf(455,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[409]) ).

thf(456,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK41_SX0 @ SV6 ) @ ( sK52_SY696 @ SV6 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[410]) ).

thf(457,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[414]) ).

thf(458,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(459,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(460,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(461,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[424]) ).

thf(462,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(463,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ ( sK32_SX0 @ SV6 ) @ ( sK45_SY689 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(464,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(465,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(466,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(467,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[436]) ).

thf(468,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(469,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(470,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV6 @ ( sK36_SX0 @ SV6 ) @ ( sK48_SY692 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(471,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(472,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(473,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(474,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(475,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[453]) ).

thf(476,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(477,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(478,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV6 @ ( sK41_SX0 @ SV6 ) @ ( sK52_SY696 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(479,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(480,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(481,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(482,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(483,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[464]) ).

thf(484,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(485,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(486,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(487,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[471]) ).

thf(488,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[472]) ).

thf(489,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(490,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[474]) ).

thf(491,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(492,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(493,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(494,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(495,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[482]) ).

thf(496,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV7: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY697: $i] : ( SV6 @ SV7 @ SY697 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(497,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[484]) ).

thf(498,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[485]) ).

thf(499,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[486]) ).

thf(500,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV8: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY698: $i] : ( SV6 @ SV8 @ SY698 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(501,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[488]) ).

thf(502,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[489]) ).

thf(503,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(504,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV6 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[491]) ).

thf(505,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV9: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY699: $i] : ( SV6 @ SV9 @ SY699 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(506,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV10: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY700: $i] : ( SV6 @ SV10 @ SY700 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[493]) ).

thf(507,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV11: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY701: $i] : ( SV6 @ SV11 @ SY701 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(508,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV12: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY702: $i] : ( SV6 @ SV12 @ SY702 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[495]) ).

thf(509,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV13: $i,SV7: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV7 @ SV13 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(510,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV14: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY703: $i] : ( SV6 @ SV14 @ SY703 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(511,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV15: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY704: $i] : ( SV6 @ SV15 @ SY704 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[498]) ).

thf(512,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV16: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY705: $i] : ( SV6 @ SV16 @ SY705 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(513,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV17: $i,SV8: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV8 @ SV17 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(514,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV18: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY706: $i] : ( SV6 @ SV18 @ SY706 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(515,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV19: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY707: $i] : ( SV6 @ SV19 @ SY707 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[502]) ).

thf(516,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV20: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY708: $i] : ( SV6 @ SV20 @ SY708 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[503]) ).

thf(517,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV21: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SY709: $i] : ( SV6 @ SV21 @ SY709 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(518,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV22: $i,SV9: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV9 @ SV22 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[505]) ).

thf(519,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV23: $i,SV10: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV10 @ SV23 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(520,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV24: $i,SV11: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV11 @ SV24 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(521,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV25: $i,SV12: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV12 @ SV25 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[508]) ).

thf(522,plain,
    ! [SV13: $i,SV7: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV7 @ SV13 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(523,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV26: $i,SV14: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV14 @ SV26 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[510]) ).

thf(524,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV27: $i,SV15: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV15 @ SV27 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(525,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV28: $i,SV16: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV16 @ SV28 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[512]) ).

thf(526,plain,
    ! [SV17: $i,SV8: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV8 @ SV17 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(527,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV29: $i,SV18: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV18 @ SV29 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[514]) ).

thf(528,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV30: $i,SV19: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV19 @ SV30 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[515]) ).

thf(529,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV31: $i,SV20: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV20 @ SV31 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[516]) ).

thf(530,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV32: $i,SV21: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV21 @ SV32 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[517]) ).

thf(531,plain,
    ! [SV22: $i,SV9: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV9 @ SV22 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(532,plain,
    ! [SV23: $i,SV10: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV10 @ SV23 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(533,plain,
    ! [SV24: $i,SV11: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV11 @ SV24 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(534,plain,
    ! [SV25: $i,SV12: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV12 @ SV25 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(535,plain,
    ! [SV13: $i,SV7: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV7 @ SV13 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[522]) ).

thf(536,plain,
    ! [SV26: $i,SV14: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV14 @ SV26 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(537,plain,
    ! [SV27: $i,SV15: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV15 @ SV27 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[524]) ).

thf(538,plain,
    ! [SV28: $i,SV16: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV16 @ SV28 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(539,plain,
    ! [SV17: $i,SV8: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV8 @ SV17 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[526]) ).

thf(540,plain,
    ! [SV29: $i,SV18: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV18 @ SV29 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[527]) ).

thf(541,plain,
    ! [SV30: $i,SV19: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV19 @ SV30 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[528]) ).

thf(542,plain,
    ! [SV31: $i,SV20: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV20 @ SV31 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(543,plain,
    ! [SV32: $i,SV21: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV21 @ SV32 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[530]) ).

thf(544,plain,
    ! [SV22: $i,SV9: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV9 @ SV22 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[531]) ).

thf(545,plain,
    ! [SV23: $i,SV10: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV10 @ SV23 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[532]) ).

thf(546,plain,
    ! [SV24: $i,SV11: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV11 @ SV24 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[533]) ).

thf(547,plain,
    ! [SV25: $i,SV12: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV12 @ SV25 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(548,plain,
    ! [SV13: $i,SV7: $i,SV6: $i > $i > $o,SV5: $i,SV33: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY710: $i] : ( SV4 @ SV33 @ SY710 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV7 @ SV13 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(549,plain,
    ! [SV26: $i,SV14: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV14 @ SV26 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[536]) ).

thf(550,plain,
    ! [SV27: $i,SV15: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV15 @ SV27 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[537]) ).

thf(551,plain,
    ! [SV28: $i,SV16: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV16 @ SV28 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[538]) ).

thf(552,plain,
    ! [SV17: $i,SV8: $i,SV6: $i > $i > $o,SV5: $i,SV34: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY711: $i] : ( SV4 @ SV34 @ SY711 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV8 @ SV17 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(553,plain,
    ! [SV29: $i,SV18: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV18 @ SV29 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(554,plain,
    ! [SV30: $i,SV19: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV19 @ SV30 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[541]) ).

thf(555,plain,
    ! [SV31: $i,SV20: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV20 @ SV31 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[542]) ).

thf(556,plain,
    ! [SV32: $i,SV21: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV4 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV21 @ SV32 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[543]) ).

thf(557,plain,
    ! [SV22: $i,SV9: $i,SV6: $i > $i > $o,SV5: $i,SV35: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY712: $i] : ( SV4 @ SV35 @ SY712 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV9 @ SV22 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(558,plain,
    ! [SV23: $i,SV10: $i,SV6: $i > $i > $o,SV5: $i,SV36: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY713: $i] : ( SV4 @ SV36 @ SY713 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV10 @ SV23 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[545]) ).

thf(559,plain,
    ! [SV24: $i,SV11: $i,SV6: $i > $i > $o,SV5: $i,SV37: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY714: $i] : ( SV4 @ SV37 @ SY714 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV11 @ SV24 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(560,plain,
    ! [SV25: $i,SV12: $i,SV6: $i > $i > $o,SV5: $i,SV38: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY715: $i] : ( SV4 @ SV38 @ SY715 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV12 @ SV25 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[547]) ).

thf(561,plain,
    ! [SV13: $i,SV7: $i,SV6: $i > $i > $o,SV5: $i,SV39: $i,SV33: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV33 @ SV39 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV7 @ SV13 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(562,plain,
    ! [SV26: $i,SV14: $i,SV6: $i > $i > $o,SV5: $i,SV40: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY716: $i] : ( SV4 @ SV40 @ SY716 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV14 @ SV26 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(563,plain,
    ! [SV27: $i,SV15: $i,SV6: $i > $i > $o,SV5: $i,SV41: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY717: $i] : ( SV4 @ SV41 @ SY717 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV15 @ SV27 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[550]) ).

thf(564,plain,
    ! [SV28: $i,SV16: $i,SV6: $i > $i > $o,SV5: $i,SV42: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY718: $i] : ( SV4 @ SV42 @ SY718 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV16 @ SV28 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[551]) ).

thf(565,plain,
    ! [SV17: $i,SV8: $i,SV6: $i > $i > $o,SV5: $i,SV43: $i,SV34: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV34 @ SV43 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV8 @ SV17 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[552]) ).

thf(566,plain,
    ! [SV29: $i,SV18: $i,SV6: $i > $i > $o,SV5: $i,SV44: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY719: $i] : ( SV4 @ SV44 @ SY719 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV18 @ SV29 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(567,plain,
    ! [SV30: $i,SV19: $i,SV6: $i > $i > $o,SV5: $i,SV45: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY720: $i] : ( SV4 @ SV45 @ SY720 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV19 @ SV30 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(568,plain,
    ! [SV31: $i,SV20: $i,SV6: $i > $i > $o,SV5: $i,SV46: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY721: $i] : ( SV4 @ SV46 @ SY721 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV20 @ SV31 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(569,plain,
    ! [SV32: $i,SV21: $i,SV6: $i > $i > $o,SV5: $i,SV47: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SY722: $i] : ( SV4 @ SV47 @ SY722 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV21 @ SV32 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[556]) ).

thf(570,plain,
    ! [SV22: $i,SV9: $i,SV6: $i > $i > $o,SV5: $i,SV48: $i,SV35: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV35 @ SV48 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV9 @ SV22 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(571,plain,
    ! [SV23: $i,SV10: $i,SV6: $i > $i > $o,SV5: $i,SV49: $i,SV36: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV36 @ SV49 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV10 @ SV23 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[558]) ).

thf(572,plain,
    ! [SV24: $i,SV11: $i,SV6: $i > $i > $o,SV5: $i,SV50: $i,SV37: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV37 @ SV50 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV11 @ SV24 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(573,plain,
    ! [SV25: $i,SV12: $i,SV6: $i > $i > $o,SV5: $i,SV51: $i,SV38: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV38 @ SV51 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV12 @ SV25 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(574,plain,
    ! [SV26: $i,SV14: $i,SV6: $i > $i > $o,SV5: $i,SV52: $i,SV40: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV40 @ SV52 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV14 @ SV26 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[562]) ).

thf(575,plain,
    ! [SV27: $i,SV15: $i,SV6: $i > $i > $o,SV5: $i,SV53: $i,SV41: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV41 @ SV53 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV15 @ SV27 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[563]) ).

thf(576,plain,
    ! [SV28: $i,SV16: $i,SV6: $i > $i > $o,SV5: $i,SV54: $i,SV42: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV42 @ SV54 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV16 @ SV28 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(577,plain,
    ! [SV29: $i,SV18: $i,SV6: $i > $i > $o,SV5: $i,SV55: $i,SV44: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV44 @ SV55 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV18 @ SV29 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[566]) ).

thf(578,plain,
    ! [SV30: $i,SV19: $i,SV6: $i > $i > $o,SV5: $i,SV56: $i,SV45: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV45 @ SV56 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV19 @ SV30 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[567]) ).

thf(579,plain,
    ! [SV31: $i,SV20: $i,SV6: $i > $i > $o,SV5: $i,SV57: $i,SV46: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV46 @ SV57 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV20 @ SV31 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(580,plain,
    ! [SV32: $i,SV21: $i,SV6: $i > $i > $o,SV5: $i,SV58: $i,SV47: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV47 @ SV58 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV21 @ SV32 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(581,plain,
    ! [SV51: $i,SV38: $i,SV4: $i > $i > $o,SV5: $i,SV25: $i,SV12: $i,SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV6 @ SV12 @ SV25 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV38 @ SV51 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[573]) ).

thf(582,plain,
    ! [SV54: $i,SV42: $i,SV4: $i > $i > $o,SV5: $i,SV28: $i,SV16: $i,SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV6 @ SV16 @ SV28 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV42 @ SV54 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[576]) ).

thf(583,plain,
    ! [SV58: $i,SV47: $i,SV4: $i > $i > $o,SV5: $i,SV32: $i,SV21: $i,SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV6 @ SV21 @ SV32 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV47 @ SV58 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[580]) ).

thf(584,plain,
    ! [SV59: $i > $i > $o] :
      ( ( ( SV59 @ ( sK1_SX0 @ SV59 ) @ ( sK7_SY671 @ SV59 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(rename,[status(thm)],[231]) ).

thf(605,plain,
    ( ( $true = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(prim_subst,[status(thm)],[584:[bind(SV59,$thf( ^ [SV65: $i] : ^ [SV66: $i] : $true ))]]) ).

thf(606,plain,
    ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
    = $false ),
    inference(sim,[status(thm)],[605]) ).

thf(608,plain,
    ! [SV62: $i > $i > $o] :
      ( ( ( ~ ( SV62
              @ ( sK1_SX0
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV62 @ SX0 @ SX1 ) )
              @ ( sK7_SY671
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV62 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[584:[bind(SV59,$thf( ^ [SV60: $i] : ^ [SV61: $i] : ~ ( SV62 @ SV60 @ SV61 ) ))]]) ).

thf(609,plain,
    ( ( ( ( ( sK1_SX0
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
         != ( sK7_SY671
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(prim_subst,[status(thm)],[584:[bind(SV59,$thf( ^ [SY729: $i] : ^ [SY730: $i] : ( SY729 != SY730 ) ))]]) ).

thf(612,plain,
    ! [SV62: $i > $i > $o] :
      ( ( ( SV62
          @ ( sK1_SX0
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV62 @ SX0 @ SX1 ) )
          @ ( sK7_SY671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV62 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[608]) ).

thf(613,plain,
    ( ( ( ( sK1_SX0
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK7_SY671
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[609]) ).

thf(614,plain,
    ! [SV171: $i > $i > $o] :
      ( ( ( SV171 @ ( sK2_SX0 @ SV171 ) @ ( sK11_SY672 @ SV171 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(rename,[status(thm)],[247]) ).

thf(635,plain,
    ( ( $true = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(prim_subst,[status(thm)],[614:[bind(SV171,$thf( ^ [SV177: $i] : ^ [SV178: $i] : $true ))]]) ).

thf(636,plain,
    ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
    = $false ),
    inference(sim,[status(thm)],[635]) ).

thf(638,plain,
    ! [SV174: $i > $i > $o] :
      ( ( ( ~ ( SV174
              @ ( sK2_SX0
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV174 @ SX0 @ SX1 ) )
              @ ( sK11_SY672
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV174 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[614:[bind(SV171,$thf( ^ [SV172: $i] : ^ [SV173: $i] : ~ ( SV174 @ SV172 @ SV173 ) ))]]) ).

thf(639,plain,
    ( ( ( ( ( sK2_SX0
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
         != ( sK11_SY672
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(prim_subst,[status(thm)],[614:[bind(SV171,$thf( ^ [SY783: $i] : ^ [SY784: $i] : ( SY783 != SY784 ) ))]]) ).

thf(642,plain,
    ! [SV174: $i > $i > $o] :
      ( ( ( SV174
          @ ( sK2_SX0
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV174 @ SX0 @ SX1 ) )
          @ ( sK11_SY672
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV174 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[638]) ).

thf(643,plain,
    ( ( ( ( sK2_SX0
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK11_SY672
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[639]) ).

thf(644,plain,
    ! [SV283: $i > $i > $o] :
      ( ( ( SV283 @ ( sK3_SX0 @ SV283 ) @ ( sK16_SY673 @ SV283 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(rename,[status(thm)],[267]) ).

thf(665,plain,
    ( ( $true = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(prim_subst,[status(thm)],[644:[bind(SV283,$thf( ^ [SV289: $i] : ^ [SV290: $i] : $true ))]]) ).

thf(666,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
    = $false ),
    inference(sim,[status(thm)],[665]) ).

thf(668,plain,
    ! [SV286: $i > $i > $o] :
      ( ( ( ~ ( SV286
              @ ( sK3_SX0
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV286 @ SX0 @ SX1 ) )
              @ ( sK16_SY673
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV286 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(prim_subst,[status(thm)],[644:[bind(SV283,$thf( ^ [SV284: $i] : ^ [SV285: $i] : ~ ( SV286 @ SV284 @ SV285 ) ))]]) ).

thf(669,plain,
    ( ( ( ( ( sK3_SX0
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
         != ( sK16_SY673
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(prim_subst,[status(thm)],[644:[bind(SV283,$thf( ^ [SY837: $i] : ^ [SY838: $i] : ( SY837 != SY838 ) ))]]) ).

thf(672,plain,
    ! [SV286: $i > $i > $o] :
      ( ( ( SV286
          @ ( sK3_SX0
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV286 @ SX0 @ SX1 ) )
          @ ( sK16_SY673
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV286 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[668]) ).

thf(673,plain,
    ( ( ( ( sK3_SX0
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK16_SY673
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[669]) ).

thf(674,plain,
    ! [SV395: $i > $i > $o] :
      ( ( ( SV395 @ ( sK4_SX0 @ SV395 ) @ ( sK17_SY674 @ SV395 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[272]) ).

thf(679,plain,
    ! [SV395: $i > $i > $o,SV171: $i > $i > $o] :
      ( ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
          = ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( SV395 @ ( sK4_SX0 @ SV395 ) @ ( sK17_SY674 @ SV395 ) )
        = $false )
      | ( ( SV171 @ ( sK2_SX0 @ SV171 ) @ ( sK11_SY672 @ SV171 ) )
        = $false ) ),
    inference(res,[status(thm)],[674,614]) ).

thf(681,plain,
    ! [SV395: $i > $i > $o,SV59: $i > $i > $o] :
      ( ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
          = ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( SV395 @ ( sK4_SX0 @ SV395 ) @ ( sK17_SY674 @ SV395 ) )
        = $false )
      | ( ( SV59 @ ( sK1_SX0 @ SV59 ) @ ( sK7_SY671 @ SV59 ) )
        = $false ) ),
    inference(res,[status(thm)],[674,584]) ).

thf(694,plain,
    ( ( $true = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[674:[bind(SV395,$thf( ^ [SV401: $i] : ^ [SV402: $i] : $true ))]]) ).

thf(695,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[694]) ).

thf(697,plain,
    ! [SV398: $i > $i > $o] :
      ( ( ( ~ ( SV398
              @ ( sK4_SX0
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV398 @ SX0 @ SX1 ) )
              @ ( sK17_SY674
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV398 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[674:[bind(SV395,$thf( ^ [SV396: $i] : ^ [SV397: $i] : ~ ( SV398 @ SV396 @ SV397 ) ))]]) ).

thf(698,plain,
    ( ( ( ( ( sK4_SX0
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
         != ( sK17_SY674
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[674:[bind(SV395,$thf( ^ [SY891: $i] : ^ [SY892: $i] : ( SY891 != SY892 ) ))]]) ).

thf(701,plain,
    ! [SV395: $i > $i > $o,SV59: $i > $i > $o] :
      ( ( ( SV59 @ ( sK1_SX0 @ SV59 ) @ ( sK7_SY671 @ SV59 ) )
        = $false )
      | ( ( SV395 @ ( sK4_SX0 @ SV395 ) @ ( sK17_SY674 @ SV395 ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[681]) ).

thf(702,plain,
    ! [SV395: $i > $i > $o,SV171: $i > $i > $o] :
      ( ( ( SV171 @ ( sK2_SX0 @ SV171 ) @ ( sK11_SY672 @ SV171 ) )
        = $false )
      | ( ( SV395 @ ( sK4_SX0 @ SV395 ) @ ( sK17_SY674 @ SV395 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
        = $false )
      | ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[679]) ).

thf(703,plain,
    ! [SV398: $i > $i > $o] :
      ( ( ( SV398
          @ ( sK4_SX0
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV398 @ SX0 @ SX1 ) )
          @ ( sK17_SY674
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV398 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[697]) ).

thf(704,plain,
    ( ( ( ( sK4_SX0
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK17_SY674
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(705,plain,
    ! [SV512: $i > $i > $o] :
      ( ( ( SV512 @ ( sK5_SX0 @ SV512 ) @ ( sK18_SY675 @ SV512 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[276]) ).

thf(712,plain,
    ! [SV512: $i > $i > $o,SV171: $i > $i > $o] :
      ( ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
          = ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( SV512 @ ( sK5_SX0 @ SV512 ) @ ( sK18_SY675 @ SV512 ) )
        = $false )
      | ( ( SV171 @ ( sK2_SX0 @ SV171 ) @ ( sK11_SY672 @ SV171 ) )
        = $false ) ),
    inference(res,[status(thm)],[705,614]) ).

thf(714,plain,
    ! [SV512: $i > $i > $o,SV59: $i > $i > $o] :
      ( ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
          = ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( SV512 @ ( sK5_SX0 @ SV512 ) @ ( sK18_SY675 @ SV512 ) )
        = $false )
      | ( ( SV59 @ ( sK1_SX0 @ SV59 ) @ ( sK7_SY671 @ SV59 ) )
        = $false ) ),
    inference(res,[status(thm)],[705,584]) ).

thf(727,plain,
    ( ( $true = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[705:[bind(SV512,$thf( ^ [SV518: $i] : ^ [SV519: $i] : $true ))]]) ).

thf(728,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[727]) ).

thf(730,plain,
    ! [SV515: $i > $i > $o] :
      ( ( ( ~ ( SV515
              @ ( sK5_SX0
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV515 @ SX0 @ SX1 ) )
              @ ( sK18_SY675
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV515 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[705:[bind(SV512,$thf( ^ [SV513: $i] : ^ [SV514: $i] : ~ ( SV515 @ SV513 @ SV514 ) ))]]) ).

thf(731,plain,
    ( ( ( ( ( sK5_SX0
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
         != ( sK18_SY675
            @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(prim_subst,[status(thm)],[705:[bind(SV512,$thf( ^ [SY947: $i] : ^ [SY948: $i] : ( SY947 != SY948 ) ))]]) ).

thf(734,plain,
    ! [SV512: $i > $i > $o,SV59: $i > $i > $o] :
      ( ( ( SV59 @ ( sK1_SX0 @ SV59 ) @ ( sK7_SY671 @ SV59 ) )
        = $false )
      | ( ( SV512 @ ( sK5_SX0 @ SV512 ) @ ( sK18_SY675 @ SV512 ) )
        = $false )
      | ( ( lBen_THFTYPE_i = lAnna_THFTYPE_i )
        = $false )
      | ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[714]) ).

thf(735,plain,
    ! [SV512: $i > $i > $o,SV171: $i > $i > $o] :
      ( ( ( SV171 @ ( sK2_SX0 @ SV171 ) @ ( sK11_SY672 @ SV171 ) )
        = $false )
      | ( ( SV512 @ ( sK5_SX0 @ SV512 ) @ ( sK18_SY675 @ SV512 ) )
        = $false )
      | ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[712]) ).

thf(736,plain,
    ! [SV515: $i > $i > $o] :
      ( ( ( SV515
          @ ( sK5_SX0
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV515 @ SX0 @ SX1 ) )
          @ ( sK18_SY675
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV515 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(737,plain,
    ( ( ( ( sK5_SX0
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
        = ( sK18_SY675
          @ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(738,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[15,737,736,735,734,728,705,704,703,702,701,695,674,673,672,666,644,643,642,636,614,613,612,606,584,583,582,581,579,578,577,575,574,572,571,570,565,561,478,477,476,470,469,468,463,462,461,452,451,450,448,447,446,444,443,442,435,434,433,431,430,429,422,421,420,418,417,416,413,412,411,393,392,391,377,376,375,358,341,327,310,306,302,291,287,31,24,23,22,21,20,19,18,17,16]) ).

thf(739,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[738]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR131^1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 11 13:55:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 10
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.36  (rf:0,axioms:10,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:12,loop_count:0,foatp_calls:0,translation:fof_full)..........................
% 0.19/0.50  
% 0.19/0.50   Prim_subst applied to clause 
% 0.19/0.50   
% 0.19/0.50  595:[ 0:<(SV59@(sK1_SX0@SV59))@(sK7_SY22@SV59) = $false>-w(1)-i() 1:<(parent_THFTYPE_IiioI@lBob_THFTYPE_i)@lAnna_THFTYPE_i = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 242)-o(DERIVED)-fv([ SV59 ])
% 1.76/1.94  .........
% 75.14/75.35  (rf:0,axioms:10,ps:2,u:1,ude:false,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:12,loop_count:0,foatp_calls:0,translation:fof_full).........................
% 75.19/75.44  
% 75.19/75.44   Prim_subst applied to clause 
% 75.19/75.44   
% 75.19/75.44  584:[ 0:<(SV59@(sK1_SX0@SV59))@(sK7_SY671@SV59) = $false>-w(1)-i() 1:<(parent_THFTYPE_IiioI@lBob_THFTYPE_i)@lAnna_THFTYPE_i = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 231)-o(DERIVED)-fv([ SV59 ])
% 75.19/75.47  .
% 75.34/75.53  
% 75.34/75.53   Prim_subst applied to clause 
% 75.34/75.53   
% 75.34/75.53  614:[ 0:<(SV171@(sK2_SX0@SV171))@(sK11_SY672@SV171) = $false>-w(1)-i() 1:<(parent_THFTYPE_IiioI@lBob_THFTYPE_i)@lBen_THFTYPE_i = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 247)-o(DERIVED)-fv([ SV171 ])
% 75.34/75.58  .
% 75.49/75.73  
% 75.49/75.73   Prim_subst applied to clause 
% 75.49/75.73   
% 75.49/75.73  644:[ 0:<(SV283@(sK3_SX0@SV283))@(sK16_SY673@SV283) = $false>-w(1)-i() 1:<(likes_THFTYPE_IiioI@lSue_THFTYPE_i)@lMary_THFTYPE_i = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 267)-o(DERIVED)-fv([ SV283 ])
% 75.59/75.78  .
% 75.80/76.03  
% 75.80/76.03   Prim_subst applied to clause 
% 75.80/76.03   
% 75.80/76.03  674:[ 0:<(SV395@(sK4_SX0@SV395))@(sK17_SY674@SV395) = $false>-w(1)-i() 1:<(parent_THFTYPE_IiioI@lMary_THFTYPE_i)@lAnna_THFTYPE_i = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 272)-o(DERIVED)-fv([ SV395 ])
% 75.91/76.11  ..
% 76.32/76.53  
% 76.32/76.53   Prim_subst applied to clause 
% 76.32/76.53   
% 76.32/76.53  705:[ 0:<(SV512@(sK5_SX0@SV512))@(sK18_SY675@SV512) = $false>-w(1)-i() 1:<(parent_THFTYPE_IiioI@lSue_THFTYPE_i)@lBen_THFTYPE_i = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 276)-o(DERIVED)-fv([ SV512 ])
% 76.88/77.15  
% 76.88/77.15  ********************************
% 76.88/77.15  *   All subproblems solved!    *
% 76.88/77.15  ********************************
% 76.88/77.15  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:2,u:1,ude:false,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:738,loop_count:16,foatp_calls:2,translation:fof_full)
% 77.11/77.32  
% 77.11/77.32  %**** Beginning of derivation protocol ****
% 77.11/77.32  % SZS output start CNFRefutation
% See solution above
% 77.11/77.32  
% 77.11/77.32  %**** End of derivation protocol ****
% 77.11/77.32  %**** no. of clauses in derivation: 628 ****
% 77.11/77.32  %**** clause counter: 738 ****
% 77.11/77.32  
% 77.11/77.32  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:2,u:1,ude:false,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:738,loop_count:16,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------