TSTP Solution File: KRS116+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n032.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 : Sun Jul 17 03:14:42 EDT 2022

% Result   : Unsatisfiable 0.15s 0.49s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  646 ( 217 unt;  37 typ;   0 def)
%            Number of atoms       : 8030 (2242 equ;   0 cnn)
%            Maximal formula atoms :   13 (  13 avg)
%            Number of connectives : 11699 (2354   ~;2801   |;  88   &;6408   @)
%                                         (  26 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   40 (  37 usr;   3 con; 0-2 aty)
%            Number of variables   : 1497 (   0   ^1483   !;  14   ?;1497   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
    cUnsatisfiable: $i > $o ).

thf(tp_ca,type,
    ca: $i > $o ).

thf(tp_ca_Ax2,type,
    ca_Ax2: $i > $o ).

thf(tp_ca_Vx3,type,
    ca_Vx3: $i > $o ).

thf(tp_ca_Vx4,type,
    ca_Vx4: $i > $o ).

thf(tp_ca_Vx5,type,
    ca_Vx5: $i > $o ).

thf(tp_ca_Vx6,type,
    ca_Vx6: $i > $o ).

thf(tp_ca_Vx7,type,
    ca_Vx7: $i > $o ).

thf(tp_caxcomp,type,
    caxcomp: $i > $o ).

thf(tp_cc,type,
    cc: $i > $o ).

thf(tp_cowlNothing,type,
    cowlNothing: $i > $o ).

thf(tp_cowlThing,type,
    cowlThing: $i > $o ).

thf(tp_i2003_11_14_17_21_33997,type,
    i2003_11_14_17_21_33997: $i ).

thf(tp_ra_Px1,type,
    ra_Px1: $i > $i > $o ).

thf(tp_rinvP,type,
    rinvP: $i > $i > $o ).

thf(tp_rinvR,type,
    rinvR: $i > $i > $o ).

thf(tp_rinvS,type,
    rinvS: $i > $i > $o ).

thf(tp_rp,type,
    rp: $i > $i > $o ).

thf(tp_rr,type,
    rr: $i > $i > $o ).

thf(tp_rs,type,
    rs: $i > $i > $o ).

thf(tp_sK10_Y,type,
    sK10_Y: $i > $i ).

thf(tp_sK11_Y,type,
    sK11_Y: $i > $i ).

thf(tp_sK12_Y,type,
    sK12_Y: $i > $i ).

thf(tp_sK13_Y0,type,
    sK13_Y0: $i > $i ).

thf(tp_sK14_Y,type,
    sK14_Y: $i > $i ).

thf(tp_sK15_Y,type,
    sK15_Y: $i > $i ).

thf(tp_sK1_Y,type,
    sK1_Y: $i > $i ).

thf(tp_sK2_Y,type,
    sK2_Y: $i > $i ).

thf(tp_sK3_Y,type,
    sK3_Y: $i > $i ).

thf(tp_sK4_Y,type,
    sK4_Y: $i > $i ).

thf(tp_sK5_Y,type,
    sK5_Y: $i > $i ).

thf(tp_sK6_Y,type,
    sK6_Y: $i > $i ).

thf(tp_sK7_Y,type,
    sK7_Y: $i > $i ).

thf(tp_sK8_Y,type,
    sK8_Y: $i > $i ).

thf(tp_sK9_Y,type,
    sK9_Y: $i > $i ).

thf(tp_xsd_integer,type,
    xsd_integer: $i > $o ).

thf(tp_xsd_string,type,
    xsd_string: $i > $o ).

thf(1,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_33997,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

thf(2,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rp @ X @ Y )
        & ( rp @ Y @ Z ) )
     => ( rp @ X @ Z ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

thf(3,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvS @ X @ Y )
    <=> ( rs @ Y @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

thf(4,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvR @ X @ Y )
    <=> ( rr @ Y @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

thf(5,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvP @ X @ Y )
    <=> ( rp @ Y @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

thf(6,axiom,
    ! [X: $i] :
      ( ( ca_Vx7 @ X )
    <=> ! [Y: $i] :
          ( ( rinvP @ X @ Y )
         => ( ca_Vx6 @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

thf(7,axiom,
    ! [X: $i] :
      ( ( ca_Vx6 @ X )
    <=> ! [Y: $i] :
          ( ( rinvS @ X @ Y )
         => ( caxcomp @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

thf(8,axiom,
    ! [X: $i] :
      ( ( ca_Vx5 @ X )
    <=> ! [Y: $i] :
          ( ( rr @ X @ Y )
         => ( cc @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

thf(9,axiom,
    ! [X: $i] :
      ( ( ca_Vx4 @ X )
    <=> ? [Y: $i] :
          ( ( rp @ X @ Y )
          & ( cowlThing @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

thf(10,axiom,
    ! [X: $i] :
      ( ( ca_Vx3 @ X )
    <=> ? [Y: $i] :
          ( ( rr @ X @ Y )
          & ( cowlThing @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

thf(11,axiom,
    ! [X: $i] :
      ( ( ca_Ax2 @ X )
    <=> ( ! [Y: $i] :
            ( ( rp @ X @ Y )
           => ( ca_Vx3 @ Y ) )
        & ! [Y: $i] :
            ( ( rp @ X @ Y )
           => ( ca_Vx5 @ Y ) )
        & ! [Y: $i] :
            ( ( rr @ X @ Y )
           => ( cc @ Y ) )
        & ? [Y: $i] :
            ( ( rr @ X @ Y )
            & ( cowlThing @ Y ) )
        & ? [Y: $i] :
            ( ( rp @ X @ Y )
            & ( cowlThing @ Y ) )
        & ! [Y: $i] :
            ( ( rp @ X @ Y )
           => ( ca_Vx4 @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

thf(12,axiom,
    ! [X: $i] :
      ( ( cc @ X )
    <=> ! [Y: $i] :
          ( ( rinvR @ X @ Y )
         => ( ca_Vx7 @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

thf(13,axiom,
    ! [X: $i] :
      ( ( caxcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

thf(14,axiom,
    ! [X: $i] :
      ( ( ca @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

thf(15,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
     => ? [Y: $i] :
          ( ( rs @ X @ Y )
          & ( ca_Ax2 @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

thf(16,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
     => ( ca @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(17,axiom,
    ! [X: $i] :
      ( ( xsd_string @ X )
    <=> ~ ( xsd_integer @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

thf(18,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
      & ~ ( cowlNothing @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

thf(19,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(20,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[19]) ).

thf(21,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[20]) ).

thf(22,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_21_33997 )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(23,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( rp @ X @ Y )
            & ( rp @ Y @ Z ) )
         => ( rp @ X @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(24,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( rinvS @ X @ Y )
        <=> ( rs @ Y @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(25,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( rinvR @ X @ Y )
        <=> ( rr @ Y @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(26,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( rinvP @ X @ Y )
        <=> ( rp @ Y @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(27,plain,
    ( ( ! [X: $i] :
          ( ( ca_Vx7 @ X )
        <=> ! [Y: $i] :
              ( ( rinvP @ X @ Y )
             => ( ca_Vx6 @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(28,plain,
    ( ( ! [X: $i] :
          ( ( ca_Vx6 @ X )
        <=> ! [Y: $i] :
              ( ( rinvS @ X @ Y )
             => ( caxcomp @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(29,plain,
    ( ( ! [X: $i] :
          ( ( ca_Vx5 @ X )
        <=> ! [Y: $i] :
              ( ( rr @ X @ Y )
             => ( cc @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(30,plain,
    ( ( ! [X: $i] :
          ( ( ca_Vx4 @ X )
        <=> ? [Y: $i] :
              ( ( rp @ X @ Y )
              & ( cowlThing @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(31,plain,
    ( ( ! [X: $i] :
          ( ( ca_Vx3 @ X )
        <=> ? [Y: $i] :
              ( ( rr @ X @ Y )
              & ( cowlThing @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(32,plain,
    ( ( ! [X: $i] :
          ( ( ca_Ax2 @ X )
        <=> ( ! [Y: $i] :
                ( ( rp @ X @ Y )
               => ( ca_Vx3 @ Y ) )
            & ! [Y: $i] :
                ( ( rp @ X @ Y )
               => ( ca_Vx5 @ Y ) )
            & ! [Y: $i] :
                ( ( rr @ X @ Y )
               => ( cc @ Y ) )
            & ? [Y: $i] :
                ( ( rr @ X @ Y )
                & ( cowlThing @ Y ) )
            & ? [Y: $i] :
                ( ( rp @ X @ Y )
                & ( cowlThing @ Y ) )
            & ! [Y: $i] :
                ( ( rp @ X @ Y )
               => ( ca_Vx4 @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(33,plain,
    ( ( ! [X: $i] :
          ( ( cc @ X )
        <=> ! [Y: $i] :
              ( ( rinvR @ X @ Y )
             => ( ca_Vx7 @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(34,plain,
    ( ( ! [X: $i] :
          ( ( caxcomp @ X )
        <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(35,plain,
    ( ( ! [X: $i] :
          ( ( ca @ X )
        <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(36,plain,
    ( ( ! [X: $i] :
          ( ( cUnsatisfiable @ X )
         => ? [Y: $i] :
              ( ( rs @ X @ Y )
              & ( ca_Ax2 @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(37,plain,
    ( ( ! [X: $i] :
          ( ( cUnsatisfiable @ X )
         => ( ca @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(38,plain,
    ( ( ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(39,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(40,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[21]) ).

thf(41,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( rp @ X @ Y )
          | ~ ( rp @ Y @ Z )
          | ( rp @ X @ Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[23]) ).

thf(42,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rinvS @ X @ Y )
          | ( rs @ Y @ X ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( rs @ Y @ X )
          | ( rinvS @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[24]) ).

thf(43,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rinvR @ X @ Y )
          | ( rr @ Y @ X ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( rr @ Y @ X )
          | ( rinvR @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(44,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rinvP @ X @ Y )
          | ( rp @ Y @ X ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( rp @ Y @ X )
          | ( rinvP @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[26]) ).

thf(45,plain,
    ( ( ! [X: $i] :
          ( ( ( rinvP @ X @ ( sK1_Y @ X ) )
            & ~ ( ca_Vx6 @ ( sK1_Y @ X ) ) )
          | ( ca_Vx7 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx7 @ X )
          | ! [Y: $i] :
              ( ~ ( rinvP @ X @ Y )
              | ( ca_Vx6 @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(46,plain,
    ( ( ! [X: $i] :
          ( ( ( rinvS @ X @ ( sK2_Y @ X ) )
            & ~ ( caxcomp @ ( sK2_Y @ X ) ) )
          | ( ca_Vx6 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx6 @ X )
          | ! [Y: $i] :
              ( ~ ( rinvS @ X @ Y )
              | ( caxcomp @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

thf(47,plain,
    ( ( ! [X: $i] :
          ( ( ( rr @ X @ ( sK3_Y @ X ) )
            & ~ ( cc @ ( sK3_Y @ X ) ) )
          | ( ca_Vx5 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx5 @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( cc @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[29]) ).

thf(48,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rp @ X @ Y ) )
          | ( ca_Vx4 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx4 @ X )
          | ( ( cowlThing @ ( sK4_Y @ X ) )
            & ( rp @ X @ ( sK4_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[30]) ).

thf(49,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rr @ X @ Y ) )
          | ( ca_Vx3 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx3 @ X )
          | ( ( cowlThing @ ( sK5_Y @ X ) )
            & ( rr @ X @ ( sK5_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[31]) ).

thf(50,plain,
    ( ( ! [X: $i] :
          ( ( ( rp @ X @ ( sK11_Y @ X ) )
            & ~ ( ca_Vx4 @ ( sK11_Y @ X ) ) )
          | ( ( rr @ X @ ( sK10_Y @ X ) )
            & ~ ( cc @ ( sK10_Y @ X ) ) )
          | ( ( rp @ X @ ( sK9_Y @ X ) )
            & ~ ( ca_Vx3 @ ( sK9_Y @ X ) ) )
          | ( ( rp @ X @ ( sK8_Y @ X ) )
            & ~ ( ca_Vx5 @ ( sK8_Y @ X ) ) )
          | ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rr @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rp @ X @ Y ) )
          | ( ca_Ax2 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rp @ X @ Y )
              | ( ca_Vx4 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( cc @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rp @ X @ Y )
              | ( ca_Vx3 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rp @ X @ Y )
              | ( ca_Vx5 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ( ( cowlThing @ ( sK7_Y @ X ) )
            & ( rr @ X @ ( sK7_Y @ X ) ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ( ( cowlThing @ ( sK6_Y @ X ) )
            & ( rp @ X @ ( sK6_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[32]) ).

thf(51,plain,
    ( ( ! [X: $i] :
          ( ( ( rinvR @ X @ ( sK12_Y @ X ) )
            & ~ ( ca_Vx7 @ ( sK12_Y @ X ) ) )
          | ( cc @ X ) )
      & ! [X: $i] :
          ( ~ ( cc @ X )
          | ! [Y: $i] :
              ( ~ ( rinvR @ X @ Y )
              | ( ca_Vx7 @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[33]) ).

thf(52,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px1 @ X @ Y0 )
          | ( caxcomp @ X ) )
      & ! [X: $i] :
          ( ~ ( caxcomp @ X )
          | ( ra_Px1 @ X @ ( sK13_Y0 @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[34]) ).

thf(53,plain,
    ( ( ! [X: $i] :
          ( ~ ( ca @ X )
          | ! [Y: $i] :
              ~ ( ra_Px1 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px1 @ X @ ( sK14_Y @ X ) )
          | ( ca @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[35]) ).

thf(54,plain,
    ( ( ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ( ca_Ax2 @ ( sK15_Y @ X ) )
            & ( rs @ X @ ( sK15_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[36]) ).

thf(55,plain,
    ( ( ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ca @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[37]) ).

thf(56,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[38]) ).

thf(57,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[39]) ).

thf(58,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(59,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(60,plain,
    ( ( ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ca @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(61,plain,
    ( ( ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ( ca_Ax2 @ ( sK15_Y @ X ) )
            & ( rs @ X @ ( sK15_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(62,plain,
    ( ( ! [X: $i] :
          ( ~ ( ca @ X )
          | ! [Y: $i] :
              ~ ( ra_Px1 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px1 @ X @ ( sK14_Y @ X ) )
          | ( ca @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(63,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px1 @ X @ Y0 )
          | ( caxcomp @ X ) )
      & ! [X: $i] :
          ( ~ ( caxcomp @ X )
          | ( ra_Px1 @ X @ ( sK13_Y0 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(64,plain,
    ( ( ! [X: $i] :
          ( ( ( rinvR @ X @ ( sK12_Y @ X ) )
            & ~ ( ca_Vx7 @ ( sK12_Y @ X ) ) )
          | ( cc @ X ) )
      & ! [X: $i] :
          ( ~ ( cc @ X )
          | ! [Y: $i] :
              ( ~ ( rinvR @ X @ Y )
              | ( ca_Vx7 @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(65,plain,
    ( ( ! [X: $i] :
          ( ( ( rp @ X @ ( sK11_Y @ X ) )
            & ~ ( ca_Vx4 @ ( sK11_Y @ X ) ) )
          | ( ( rr @ X @ ( sK10_Y @ X ) )
            & ~ ( cc @ ( sK10_Y @ X ) ) )
          | ( ( rp @ X @ ( sK9_Y @ X ) )
            & ~ ( ca_Vx3 @ ( sK9_Y @ X ) ) )
          | ( ( rp @ X @ ( sK8_Y @ X ) )
            & ~ ( ca_Vx5 @ ( sK8_Y @ X ) ) )
          | ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rr @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rp @ X @ Y ) )
          | ( ca_Ax2 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rp @ X @ Y )
              | ( ca_Vx4 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( cc @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rp @ X @ Y )
              | ( ca_Vx3 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ! [Y: $i] :
              ( ~ ( rp @ X @ Y )
              | ( ca_Vx5 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ( ( cowlThing @ ( sK7_Y @ X ) )
            & ( rr @ X @ ( sK7_Y @ X ) ) ) )
      & ! [X: $i] :
          ( ~ ( ca_Ax2 @ X )
          | ( ( cowlThing @ ( sK6_Y @ X ) )
            & ( rp @ X @ ( sK6_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(66,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rr @ X @ Y ) )
          | ( ca_Vx3 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx3 @ X )
          | ( ( cowlThing @ ( sK5_Y @ X ) )
            & ( rr @ X @ ( sK5_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(67,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rp @ X @ Y ) )
          | ( ca_Vx4 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx4 @ X )
          | ( ( cowlThing @ ( sK4_Y @ X ) )
            & ( rp @ X @ ( sK4_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(68,plain,
    ( ( ! [X: $i] :
          ( ( ( rr @ X @ ( sK3_Y @ X ) )
            & ~ ( cc @ ( sK3_Y @ X ) ) )
          | ( ca_Vx5 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx5 @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( cc @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(69,plain,
    ( ( ! [X: $i] :
          ( ( ( rinvS @ X @ ( sK2_Y @ X ) )
            & ~ ( caxcomp @ ( sK2_Y @ X ) ) )
          | ( ca_Vx6 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx6 @ X )
          | ! [Y: $i] :
              ( ~ ( rinvS @ X @ Y )
              | ( caxcomp @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(70,plain,
    ( ( ! [X: $i] :
          ( ( ( rinvP @ X @ ( sK1_Y @ X ) )
            & ~ ( ca_Vx6 @ ( sK1_Y @ X ) ) )
          | ( ca_Vx7 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Vx7 @ X )
          | ! [Y: $i] :
              ( ~ ( rinvP @ X @ Y )
              | ( ca_Vx6 @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(71,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rinvP @ X @ Y )
          | ( rp @ Y @ X ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( rp @ Y @ X )
          | ( rinvP @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(72,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rinvR @ X @ Y )
          | ( rr @ Y @ X ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( rr @ Y @ X )
          | ( rinvR @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(73,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rinvS @ X @ Y )
          | ( rs @ Y @ X ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( rs @ Y @ X )
          | ( rinvS @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(74,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( rp @ X @ Y )
          | ~ ( rp @ Y @ Z )
          | ( rp @ X @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(75,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_21_33997 )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(76,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(77,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ( ~ ( cowlThing @ SX1 )
                    | ~ ( rr @ SX0 @ SX1 ) )
                | ( ca_Vx3 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Vx3 @ SX0 )
                | ~ ( ~ ( cowlThing @ ( sK5_Y @ SX0 ) )
                    | ~ ( rr @ SX0 @ ( sK5_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(78,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( rinvR @ SX0 @ ( sK12_Y @ SX0 ) )
                    | ~ ~ ( ca_Vx7 @ ( sK12_Y @ SX0 ) ) )
                | ( cc @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( cc @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rinvR @ SX0 @ SX1 )
                    | ( ca_Vx7 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(79,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( rinvR @ SX0 @ SX1 )
                | ( rr @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( rr @ SX1 @ SX0 )
                | ( rinvR @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(80,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( rinvS @ SX0 @ SX1 )
                | ( rs @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( rs @ SX1 @ SX0 )
                | ( rinvS @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(81,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( rp @ SX0 @ ( sK11_Y @ SX0 ) )
                    | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SX0 ) ) )
                | ~ ( ~ ( rr @ SX0 @ ( sK10_Y @ SX0 ) )
                    | ~ ~ ( cc @ ( sK10_Y @ SX0 ) ) )
                | ~ ( ~ ( rp @ SX0 @ ( sK9_Y @ SX0 ) )
                    | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SX0 ) ) )
                | ~ ( ~ ( rp @ SX0 @ ( sK8_Y @ SX0 ) )
                    | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SX0 ) ) )
                | ! [SX1: $i] :
                    ( ~ ( cowlThing @ SX1 )
                    | ~ ( rr @ SX0 @ SX1 ) )
                | ! [SX1: $i] :
                    ( ~ ( cowlThing @ SX1 )
                    | ~ ( rp @ SX0 @ SX1 ) )
                | ( ca_Ax2 @ SX0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( ca_Ax2 @ SX0 )
                      | ! [SX1: $i] :
                          ( ~ ( rp @ SX0 @ SX1 )
                          | ( ca_Vx4 @ SX1 ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                        ( ~ ( ca_Ax2 @ SX0 )
                                        | ! [SX1: $i] :
                                            ( ~ ( rr @ SX0 @ SX1 )
                                            | ( cc @ SX1 ) ) )
                                  | ~ ~ ( ~ ! [SX0: $i] :
                                              ( ~ ( ca_Ax2 @ SX0 )
                                              | ! [SX1: $i] :
                                                  ( ~ ( rp @ SX0 @ SX1 )
                                                  | ( ca_Vx3 @ SX1 ) ) )
                                        | ~ ! [SX0: $i] :
                                              ( ~ ( ca_Ax2 @ SX0 )
                                              | ! [SX1: $i] :
                                                  ( ~ ( rp @ SX0 @ SX1 )
                                                  | ( ca_Vx5 @ SX1 ) ) ) ) )
                            | ~ ! [SX0: $i] :
                                  ( ~ ( ca_Ax2 @ SX0 )
                                  | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                                      | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( ca_Ax2 @ SX0 )
                            | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                                | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(82,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( rinvP @ SX0 @ SX1 )
                | ( rp @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( rp @ SX1 @ SX0 )
                | ( rinvP @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(83,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(84,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cUnsatisfiable @ SX0 )
          | ~ ( ~ ( ca_Ax2 @ ( sK15_Y @ SX0 ) )
              | ~ ( rs @ SX0 @ ( sK15_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(85,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(86,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ( ~ ( cowlThing @ SX1 )
                    | ~ ( rp @ SX0 @ SX1 ) )
                | ( ca_Vx4 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Vx4 @ SX0 )
                | ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
                    | ~ ( rp @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(87,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( ra_Px1 @ SX0 @ SX1 )
                | ( caxcomp @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( caxcomp @ SX0 )
                | ( ra_Px1 @ SX0 @ ( sK13_Y0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(88,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) )
                    | ~ ~ ( cc @ ( sK3_Y @ SX0 ) ) )
                | ( ca_Vx5 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Vx5 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rr @ SX0 @ SX1 )
                    | ( cc @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(89,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( rinvP @ SX0 @ ( sK1_Y @ SX0 ) )
                    | ~ ~ ( ca_Vx6 @ ( sK1_Y @ SX0 ) ) )
                | ( ca_Vx7 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Vx7 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rinvP @ SX0 @ SX1 )
                    | ( ca_Vx6 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(90,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( rinvS @ SX0 @ ( sK2_Y @ SX0 ) )
                    | ~ ~ ( caxcomp @ ( sK2_Y @ SX0 ) ) )
                | ( ca_Vx6 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Vx6 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rinvS @ SX0 @ SX1 )
                    | ( caxcomp @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(91,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ca @ SX0 )
                | ! [SX1: $i] :
                    ~ ( ra_Px1 @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i] :
                ( ( ra_Px1 @ SX0 @ ( sK14_Y @ SX0 ) )
                | ( ca @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(92,plain,
    ! [SV1: $i] :
      ( ( ~ ( cUnsatisfiable @ SV1 )
        | ( ca @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(93,plain,
    ! [SV2: $i] :
      ( ( ! [SY37: $i,SY38: $i] :
            ( ~ ( rp @ SV2 @ SY37 )
            | ~ ( rp @ SY37 @ SY38 )
            | ( rp @ SV2 @ SY38 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[74]) ).

thf(94,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(95,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ( ca_Vx3 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Vx3 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK5_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK5_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[77]) ).

thf(96,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rinvR @ SX0 @ ( sK12_Y @ SX0 ) )
                | ~ ~ ( ca_Vx7 @ ( sK12_Y @ SX0 ) ) )
            | ( cc @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( cc @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rinvR @ SX0 @ SX1 )
                | ( ca_Vx7 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[78]) ).

thf(97,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rinvR @ SX0 @ SX1 )
            | ( rr @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rr @ SX1 @ SX0 )
            | ( rinvR @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(98,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rinvS @ SX0 @ SX1 )
            | ( rs @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rs @ SX1 @ SX0 )
            | ( rinvS @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(99,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rp @ SX0 @ ( sK11_Y @ SX0 ) )
                | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SX0 ) ) )
            | ~ ( ~ ( rr @ SX0 @ ( sK10_Y @ SX0 ) )
                | ~ ~ ( cc @ ( sK10_Y @ SX0 ) ) )
            | ~ ( ~ ( rp @ SX0 @ ( sK9_Y @ SX0 ) )
                | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SX0 ) ) )
            | ~ ( ~ ( rp @ SX0 @ ( sK8_Y @ SX0 ) )
                | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SX0 ) ) )
            | ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rp @ SX0 @ SX1 ) )
            | ( ca_Ax2 @ SX0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rp @ SX0 @ SX1 )
                      | ( ca_Vx4 @ SX1 ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( ca_Ax2 @ SX0 )
                                    | ! [SX1: $i] :
                                        ( ~ ( rr @ SX0 @ SX1 )
                                        | ( cc @ SX1 ) ) )
                              | ~ ~ ( ~ ! [SX0: $i] :
                                          ( ~ ( ca_Ax2 @ SX0 )
                                          | ! [SX1: $i] :
                                              ( ~ ( rp @ SX0 @ SX1 )
                                              | ( ca_Vx3 @ SX1 ) ) )
                                    | ~ ! [SX0: $i] :
                                          ( ~ ( ca_Ax2 @ SX0 )
                                          | ! [SX1: $i] :
                                              ( ~ ( rp @ SX0 @ SX1 )
                                              | ( ca_Vx5 @ SX1 ) ) ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                                  | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                            | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[81]) ).

thf(100,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rinvP @ SX0 @ SX1 )
            | ( rp @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rp @ SX1 @ SX0 )
            | ( rinvP @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[82]) ).

thf(101,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(102,plain,
    ! [SV3: $i] :
      ( ( ~ ( cUnsatisfiable @ SV3 )
        | ~ ( ~ ( ca_Ax2 @ ( sK15_Y @ SV3 ) )
            | ~ ( rs @ SV3 @ ( sK15_Y @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(103,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[85]) ).

thf(104,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rp @ SX0 @ SX1 ) )
            | ( ca_Vx4 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Vx4 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
                | ~ ( rp @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(105,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 )
            | ( caxcomp @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( caxcomp @ SX0 )
            | ( ra_Px1 @ SX0 @ ( sK13_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(106,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) )
                | ~ ~ ( cc @ ( sK3_Y @ SX0 ) ) )
            | ( ca_Vx5 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Vx5 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( cc @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(107,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rinvP @ SX0 @ ( sK1_Y @ SX0 ) )
                | ~ ~ ( ca_Vx6 @ ( sK1_Y @ SX0 ) ) )
            | ( ca_Vx7 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Vx7 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rinvP @ SX0 @ SX1 )
                | ( ca_Vx6 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(108,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rinvS @ SX0 @ ( sK2_Y @ SX0 ) )
                | ~ ~ ( caxcomp @ ( sK2_Y @ SX0 ) ) )
            | ( ca_Vx6 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Vx6 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rinvS @ SX0 @ SX1 )
                | ( caxcomp @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(109,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i] :
            ( ( ra_Px1 @ SX0 @ ( sK14_Y @ SX0 ) )
            | ( ca @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[91]) ).

thf(110,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV1 ) )
        = $true )
      | ( ( ca @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(111,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ! [SY39: $i] :
            ( ~ ( rp @ SV2 @ SV4 )
            | ~ ( rp @ SV4 @ SY39 )
            | ( rp @ SV2 @ SY39 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(112,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ( ca_Vx3 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[95]) ).

thf(113,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Vx3 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK5_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK5_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[95]) ).

thf(114,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rinvR @ SX0 @ ( sK12_Y @ SX0 ) )
                | ~ ~ ( ca_Vx7 @ ( sK12_Y @ SX0 ) ) )
            | ( cc @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[96]) ).

thf(115,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cc @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rinvR @ SX0 @ SX1 )
                | ( ca_Vx7 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[96]) ).

thf(116,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rinvR @ SX0 @ SX1 )
            | ( rr @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[97]) ).

thf(117,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rr @ SX1 @ SX0 )
            | ( rinvR @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[97]) ).

thf(118,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rinvS @ SX0 @ SX1 )
            | ( rs @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[98]) ).

thf(119,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rs @ SX1 @ SX0 )
            | ( rinvS @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[98]) ).

thf(120,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rp @ SX0 @ ( sK11_Y @ SX0 ) )
                | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SX0 ) ) )
            | ~ ( ~ ( rr @ SX0 @ ( sK10_Y @ SX0 ) )
                | ~ ~ ( cc @ ( sK10_Y @ SX0 ) ) )
            | ~ ( ~ ( rp @ SX0 @ ( sK9_Y @ SX0 ) )
                | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SX0 ) ) )
            | ~ ( ~ ( rp @ SX0 @ ( sK8_Y @ SX0 ) )
                | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SX0 ) ) )
            | ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rp @ SX0 @ SX1 ) )
            | ( ca_Ax2 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[99]) ).

thf(121,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rp @ SX0 @ SX1 )
                      | ( ca_Vx4 @ SX1 ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( ca_Ax2 @ SX0 )
                                    | ! [SX1: $i] :
                                        ( ~ ( rr @ SX0 @ SX1 )
                                        | ( cc @ SX1 ) ) )
                              | ~ ~ ( ~ ! [SX0: $i] :
                                          ( ~ ( ca_Ax2 @ SX0 )
                                          | ! [SX1: $i] :
                                              ( ~ ( rp @ SX0 @ SX1 )
                                              | ( ca_Vx3 @ SX1 ) ) )
                                    | ~ ! [SX0: $i] :
                                          ( ~ ( ca_Ax2 @ SX0 )
                                          | ! [SX1: $i] :
                                              ( ~ ( rp @ SX0 @ SX1 )
                                              | ( ca_Vx5 @ SX1 ) ) ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                                  | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                            | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[99]) ).

thf(122,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rinvP @ SX0 @ SX1 )
            | ( rp @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[100]) ).

thf(123,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( rp @ SX1 @ SX0 )
            | ( rinvP @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[100]) ).

thf(124,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[101]) ).

thf(125,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[101]) ).

thf(126,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV3 ) )
        = $true )
      | ( ( ~ ( ~ ( ca_Ax2 @ ( sK15_Y @ SV3 ) )
              | ~ ( rs @ SV3 @ ( sK15_Y @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[102]) ).

thf(127,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(128,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(129,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rp @ SX0 @ SX1 ) )
            | ( ca_Vx4 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[104]) ).

thf(130,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Vx4 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
                | ~ ( rp @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[104]) ).

thf(131,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 )
            | ( caxcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[105]) ).

thf(132,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( caxcomp @ SX0 )
            | ( ra_Px1 @ SX0 @ ( sK13_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[105]) ).

thf(133,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) )
                | ~ ~ ( cc @ ( sK3_Y @ SX0 ) ) )
            | ( ca_Vx5 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[106]) ).

thf(134,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Vx5 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( cc @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[106]) ).

thf(135,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rinvP @ SX0 @ ( sK1_Y @ SX0 ) )
                | ~ ~ ( ca_Vx6 @ ( sK1_Y @ SX0 ) ) )
            | ( ca_Vx7 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[107]) ).

thf(136,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Vx7 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rinvP @ SX0 @ SX1 )
                | ( ca_Vx6 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[107]) ).

thf(137,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rinvS @ SX0 @ ( sK2_Y @ SX0 ) )
                | ~ ~ ( caxcomp @ ( sK2_Y @ SX0 ) ) )
            | ( ca_Vx6 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(138,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Vx6 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rinvS @ SX0 @ SX1 )
                | ( caxcomp @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(139,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[109]) ).

thf(140,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ra_Px1 @ SX0 @ ( sK14_Y @ SX0 ) )
            | ( ca @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[109]) ).

thf(141,plain,
    ! [SV1: $i] :
      ( ( ( cUnsatisfiable @ SV1 )
        = $false )
      | ( ( ca @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(142,plain,
    ! [SV5: $i,SV4: $i,SV2: $i] :
      ( ( ~ ( rp @ SV2 @ SV4 )
        | ~ ( rp @ SV4 @ SV5 )
        | ( rp @ SV2 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[111]) ).

thf(143,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ( ~ ( cowlThing @ SX1 )
              | ~ ( rr @ SX0 @ SX1 ) )
          | ( ca_Vx3 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[112]) ).

thf(144,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Vx3 @ SX0 )
          | ~ ( ~ ( cowlThing @ ( sK5_Y @ SX0 ) )
              | ~ ( rr @ SX0 @ ( sK5_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(145,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( rinvR @ SX0 @ ( sK12_Y @ SX0 ) )
              | ~ ~ ( ca_Vx7 @ ( sK12_Y @ SX0 ) ) )
          | ( cc @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(146,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cc @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rinvR @ SX0 @ SX1 )
              | ( ca_Vx7 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[115]) ).

thf(147,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( rinvR @ SX0 @ SX1 )
          | ( rr @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[116]) ).

thf(148,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( rr @ SX1 @ SX0 )
          | ( rinvR @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[117]) ).

thf(149,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( rinvS @ SX0 @ SX1 )
          | ( rs @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[118]) ).

thf(150,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( rs @ SX1 @ SX0 )
          | ( rinvS @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[119]) ).

thf(151,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( rp @ SX0 @ ( sK11_Y @ SX0 ) )
              | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SX0 ) ) )
          | ~ ( ~ ( rr @ SX0 @ ( sK10_Y @ SX0 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SX0 ) ) )
          | ~ ( ~ ( rp @ SX0 @ ( sK9_Y @ SX0 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SX0 ) ) )
          | ~ ( ~ ( rp @ SX0 @ ( sK8_Y @ SX0 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SX0 ) ) )
          | ! [SX1: $i] :
              ( ~ ( cowlThing @ SX1 )
              | ~ ( rr @ SX0 @ SX1 ) )
          | ! [SX1: $i] :
              ( ~ ( cowlThing @ SX1 )
              | ~ ( rp @ SX0 @ SX1 ) )
          | ( ca_Ax2 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[120]) ).

thf(152,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ca_Ax2 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rp @ SX0 @ SX1 )
                    | ( ca_Vx4 @ SX1 ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                  ( ~ ( ca_Ax2 @ SX0 )
                                  | ! [SX1: $i] :
                                      ( ~ ( rr @ SX0 @ SX1 )
                                      | ( cc @ SX1 ) ) )
                            | ~ ~ ( ~ ! [SX0: $i] :
                                        ( ~ ( ca_Ax2 @ SX0 )
                                        | ! [SX1: $i] :
                                            ( ~ ( rp @ SX0 @ SX1 )
                                            | ( ca_Vx3 @ SX1 ) ) )
                                  | ~ ! [SX0: $i] :
                                        ( ~ ( ca_Ax2 @ SX0 )
                                        | ! [SX1: $i] :
                                            ( ~ ( rp @ SX0 @ SX1 )
                                            | ( ca_Vx5 @ SX1 ) ) ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( ca_Ax2 @ SX0 )
                            | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                                | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( ca_Ax2 @ SX0 )
                      | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                          | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[121]) ).

thf(153,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( rinvP @ SX0 @ SX1 )
          | ( rp @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(154,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( rp @ SX1 @ SX0 )
          | ( rinvP @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(155,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[124]) ).

thf(156,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[125]) ).

thf(157,plain,
    ! [SV3: $i] :
      ( ( ( cUnsatisfiable @ SV3 )
        = $false )
      | ( ( ~ ( ~ ( ca_Ax2 @ ( sK15_Y @ SV3 ) )
              | ~ ( rs @ SV3 @ ( sK15_Y @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(158,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[127]) ).

thf(159,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[128]) ).

thf(160,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ( ~ ( cowlThing @ SX1 )
              | ~ ( rp @ SX0 @ SX1 ) )
          | ( ca_Vx4 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(161,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Vx4 @ SX0 )
          | ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
              | ~ ( rp @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[130]) ).

thf(162,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( ra_Px1 @ SX0 @ SX1 )
          | ( caxcomp @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[131]) ).

thf(163,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( caxcomp @ SX0 )
          | ( ra_Px1 @ SX0 @ ( sK13_Y0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[132]) ).

thf(164,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) )
              | ~ ~ ( cc @ ( sK3_Y @ SX0 ) ) )
          | ( ca_Vx5 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[133]) ).

thf(165,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Vx5 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rr @ SX0 @ SX1 )
              | ( cc @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[134]) ).

thf(166,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( rinvP @ SX0 @ ( sK1_Y @ SX0 ) )
              | ~ ~ ( ca_Vx6 @ ( sK1_Y @ SX0 ) ) )
          | ( ca_Vx7 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[135]) ).

thf(167,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Vx7 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rinvP @ SX0 @ SX1 )
              | ( ca_Vx6 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[136]) ).

thf(168,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( rinvS @ SX0 @ ( sK2_Y @ SX0 ) )
              | ~ ~ ( caxcomp @ ( sK2_Y @ SX0 ) ) )
          | ( ca_Vx6 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[137]) ).

thf(169,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Vx6 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rinvS @ SX0 @ SX1 )
              | ( caxcomp @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[138]) ).

thf(170,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca @ SX0 )
          | ! [SX1: $i] :
              ~ ( ra_Px1 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[139]) ).

thf(171,plain,
    ( ( ! [SX0: $i] :
          ( ( ra_Px1 @ SX0 @ ( sK14_Y @ SX0 ) )
          | ( ca @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(172,plain,
    ! [SV5: $i,SV4: $i,SV2: $i] :
      ( ( ( ~ ( rp @ SV2 @ SV4 )
          | ~ ( rp @ SV4 @ SV5 ) )
        = $true )
      | ( ( rp @ SV2 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[142]) ).

thf(173,plain,
    ! [SV6: $i] :
      ( ( ! [SY40: $i] :
            ( ~ ( cowlThing @ SY40 )
            | ~ ( rr @ SV6 @ SY40 ) )
        | ( ca_Vx3 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[143]) ).

thf(174,plain,
    ! [SV7: $i] :
      ( ( ~ ( ca_Vx3 @ SV7 )
        | ~ ( ~ ( cowlThing @ ( sK5_Y @ SV7 ) )
            | ~ ( rr @ SV7 @ ( sK5_Y @ SV7 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(175,plain,
    ! [SV8: $i] :
      ( ( ~ ( ~ ( rinvR @ SV8 @ ( sK12_Y @ SV8 ) )
            | ~ ~ ( ca_Vx7 @ ( sK12_Y @ SV8 ) ) )
        | ( cc @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[145]) ).

thf(176,plain,
    ! [SV9: $i] :
      ( ( ~ ( cc @ SV9 )
        | ! [SY41: $i] :
            ( ~ ( rinvR @ SV9 @ SY41 )
            | ( ca_Vx7 @ SY41 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(177,plain,
    ! [SV10: $i] :
      ( ( ! [SY42: $i] :
            ( ~ ( rinvR @ SV10 @ SY42 )
            | ( rr @ SY42 @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(178,plain,
    ! [SV11: $i] :
      ( ( ! [SY43: $i] :
            ( ~ ( rr @ SY43 @ SV11 )
            | ( rinvR @ SV11 @ SY43 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[148]) ).

thf(179,plain,
    ! [SV12: $i] :
      ( ( ! [SY44: $i] :
            ( ~ ( rinvS @ SV12 @ SY44 )
            | ( rs @ SY44 @ SV12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(180,plain,
    ! [SV13: $i] :
      ( ( ! [SY45: $i] :
            ( ~ ( rs @ SY45 @ SV13 )
            | ( rinvS @ SV13 @ SY45 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(181,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
            | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SV14 ) ) )
        | ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
            | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
        | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
            | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
            | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        | ! [SY46: $i] :
            ( ~ ( cowlThing @ SY46 )
            | ~ ( rr @ SV14 @ SY46 ) )
        | ! [SY47: $i] :
            ( ~ ( cowlThing @ SY47 )
            | ~ ( rp @ SV14 @ SY47 ) )
        | ( ca_Ax2 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[151]) ).

thf(182,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rp @ SX0 @ SX1 )
                | ( ca_Vx4 @ SX1 ) ) )
      | ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ! [SX1: $i] :
                                  ( ~ ( rr @ SX0 @ SX1 )
                                  | ( cc @ SX1 ) ) )
                        | ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( ca_Ax2 @ SX0 )
                                    | ! [SX1: $i] :
                                        ( ~ ( rp @ SX0 @ SX1 )
                                        | ( ca_Vx3 @ SX1 ) ) )
                              | ~ ! [SX0: $i] :
                                    ( ~ ( ca_Ax2 @ SX0 )
                                    | ! [SX1: $i] :
                                        ( ~ ( rp @ SX0 @ SX1 )
                                        | ( ca_Vx5 @ SX1 ) ) ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                            | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                      | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(183,plain,
    ! [SV15: $i] :
      ( ( ! [SY48: $i] :
            ( ~ ( rinvP @ SV15 @ SY48 )
            | ( rp @ SY48 @ SV15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[153]) ).

thf(184,plain,
    ! [SV16: $i] :
      ( ( ! [SY49: $i] :
            ( ~ ( rp @ SY49 @ SV16 )
            | ( rinvP @ SV16 @ SY49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(185,plain,
    ! [SV17: $i] :
      ( ( cowlThing @ SV17 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(186,plain,
    ! [SV18: $i] :
      ( ( ~ ( cowlNothing @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(187,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ca_Ax2 @ ( sK15_Y @ SV3 ) )
          | ~ ( rs @ SV3 @ ( sK15_Y @ SV3 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(188,plain,
    ! [SV19: $i] :
      ( ( ~ ( xsd_string @ SV19 )
        | ~ ( xsd_integer @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[158]) ).

thf(189,plain,
    ! [SV20: $i] :
      ( ( ( xsd_integer @ SV20 )
        | ( xsd_string @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[159]) ).

thf(190,plain,
    ! [SV21: $i] :
      ( ( ! [SY50: $i] :
            ( ~ ( cowlThing @ SY50 )
            | ~ ( rp @ SV21 @ SY50 ) )
        | ( ca_Vx4 @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(191,plain,
    ! [SV22: $i] :
      ( ( ~ ( ca_Vx4 @ SV22 )
        | ~ ( ~ ( cowlThing @ ( sK4_Y @ SV22 ) )
            | ~ ( rp @ SV22 @ ( sK4_Y @ SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[161]) ).

thf(192,plain,
    ! [SV23: $i] :
      ( ( ! [SY51: $i] :
            ~ ( ra_Px1 @ SV23 @ SY51 )
        | ( caxcomp @ SV23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[162]) ).

thf(193,plain,
    ! [SV24: $i] :
      ( ( ~ ( caxcomp @ SV24 )
        | ( ra_Px1 @ SV24 @ ( sK13_Y0 @ SV24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[163]) ).

thf(194,plain,
    ! [SV25: $i] :
      ( ( ~ ( ~ ( rr @ SV25 @ ( sK3_Y @ SV25 ) )
            | ~ ~ ( cc @ ( sK3_Y @ SV25 ) ) )
        | ( ca_Vx5 @ SV25 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[164]) ).

thf(195,plain,
    ! [SV26: $i] :
      ( ( ~ ( ca_Vx5 @ SV26 )
        | ! [SY52: $i] :
            ( ~ ( rr @ SV26 @ SY52 )
            | ( cc @ SY52 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(196,plain,
    ! [SV27: $i] :
      ( ( ~ ( ~ ( rinvP @ SV27 @ ( sK1_Y @ SV27 ) )
            | ~ ~ ( ca_Vx6 @ ( sK1_Y @ SV27 ) ) )
        | ( ca_Vx7 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[166]) ).

thf(197,plain,
    ! [SV28: $i] :
      ( ( ~ ( ca_Vx7 @ SV28 )
        | ! [SY53: $i] :
            ( ~ ( rinvP @ SV28 @ SY53 )
            | ( ca_Vx6 @ SY53 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[167]) ).

thf(198,plain,
    ! [SV29: $i] :
      ( ( ~ ( ~ ( rinvS @ SV29 @ ( sK2_Y @ SV29 ) )
            | ~ ~ ( caxcomp @ ( sK2_Y @ SV29 ) ) )
        | ( ca_Vx6 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(199,plain,
    ! [SV30: $i] :
      ( ( ~ ( ca_Vx6 @ SV30 )
        | ! [SY54: $i] :
            ( ~ ( rinvS @ SV30 @ SY54 )
            | ( caxcomp @ SY54 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[169]) ).

thf(200,plain,
    ! [SV31: $i] :
      ( ( ~ ( ca @ SV31 )
        | ! [SY55: $i] :
            ~ ( ra_Px1 @ SV31 @ SY55 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(201,plain,
    ! [SV32: $i] :
      ( ( ( ra_Px1 @ SV32 @ ( sK14_Y @ SV32 ) )
        | ( ca @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[171]) ).

thf(202,plain,
    ! [SV5: $i,SV4: $i,SV2: $i] :
      ( ( ( ~ ( rp @ SV2 @ SV4 ) )
        = $true )
      | ( ( ~ ( rp @ SV4 @ SV5 ) )
        = $true )
      | ( ( rp @ SV2 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[172]) ).

thf(203,plain,
    ! [SV6: $i] :
      ( ( ( ! [SY40: $i] :
              ( ~ ( cowlThing @ SY40 )
              | ~ ( rr @ SV6 @ SY40 ) ) )
        = $true )
      | ( ( ca_Vx3 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[173]) ).

thf(204,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( ca_Vx3 @ SV7 ) )
        = $true )
      | ( ( ~ ( ~ ( cowlThing @ ( sK5_Y @ SV7 ) )
              | ~ ( rr @ SV7 @ ( sK5_Y @ SV7 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(205,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( ~ ( rinvR @ SV8 @ ( sK12_Y @ SV8 ) )
              | ~ ~ ( ca_Vx7 @ ( sK12_Y @ SV8 ) ) ) )
        = $true )
      | ( ( cc @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(206,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( cc @ SV9 ) )
        = $true )
      | ( ( ! [SY41: $i] :
              ( ~ ( rinvR @ SV9 @ SY41 )
              | ( ca_Vx7 @ SY41 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[176]) ).

thf(207,plain,
    ! [SV33: $i,SV10: $i] :
      ( ( ~ ( rinvR @ SV10 @ SV33 )
        | ( rr @ SV33 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[177]) ).

thf(208,plain,
    ! [SV11: $i,SV34: $i] :
      ( ( ~ ( rr @ SV34 @ SV11 )
        | ( rinvR @ SV11 @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(209,plain,
    ! [SV35: $i,SV12: $i] :
      ( ( ~ ( rinvS @ SV12 @ SV35 )
        | ( rs @ SV35 @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(210,plain,
    ! [SV13: $i,SV36: $i] :
      ( ( ~ ( rs @ SV36 @ SV13 )
        | ( rinvS @ SV13 @ SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(211,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
              | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SV14 ) ) )
          | ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(212,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rp @ SX0 @ SX1 )
                | ( ca_Vx4 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(213,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ! [SX1: $i] :
                                  ( ~ ( rr @ SX0 @ SX1 )
                                  | ( cc @ SX1 ) ) )
                        | ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( ca_Ax2 @ SX0 )
                                    | ! [SX1: $i] :
                                        ( ~ ( rp @ SX0 @ SX1 )
                                        | ( ca_Vx3 @ SX1 ) ) )
                              | ~ ! [SX0: $i] :
                                    ( ~ ( ca_Ax2 @ SX0 )
                                    | ! [SX1: $i] :
                                        ( ~ ( rp @ SX0 @ SX1 )
                                        | ( ca_Vx5 @ SX1 ) ) ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                            | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                      | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(214,plain,
    ! [SV37: $i,SV15: $i] :
      ( ( ~ ( rinvP @ SV15 @ SV37 )
        | ( rp @ SV37 @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(215,plain,
    ! [SV16: $i,SV38: $i] :
      ( ( ~ ( rp @ SV38 @ SV16 )
        | ( rinvP @ SV16 @ SV38 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[184]) ).

thf(216,plain,
    ! [SV18: $i] :
      ( ( cowlNothing @ SV18 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(217,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ca_Ax2 @ ( sK15_Y @ SV3 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(218,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( rs @ SV3 @ ( sK15_Y @ SV3 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(219,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( xsd_string @ SV19 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[188]) ).

thf(220,plain,
    ! [SV20: $i] :
      ( ( ( xsd_integer @ SV20 )
        = $true )
      | ( ( xsd_string @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(221,plain,
    ! [SV21: $i] :
      ( ( ( ! [SY50: $i] :
              ( ~ ( cowlThing @ SY50 )
              | ~ ( rp @ SV21 @ SY50 ) ) )
        = $true )
      | ( ( ca_Vx4 @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[190]) ).

thf(222,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( ca_Vx4 @ SV22 ) )
        = $true )
      | ( ( ~ ( ~ ( cowlThing @ ( sK4_Y @ SV22 ) )
              | ~ ( rp @ SV22 @ ( sK4_Y @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[191]) ).

thf(223,plain,
    ! [SV23: $i] :
      ( ( ( ! [SY51: $i] :
              ~ ( ra_Px1 @ SV23 @ SY51 ) )
        = $true )
      | ( ( caxcomp @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(224,plain,
    ! [SV24: $i] :
      ( ( ( ~ ( caxcomp @ SV24 ) )
        = $true )
      | ( ( ra_Px1 @ SV24 @ ( sK13_Y0 @ SV24 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[193]) ).

thf(225,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( ~ ( rr @ SV25 @ ( sK3_Y @ SV25 ) )
              | ~ ~ ( cc @ ( sK3_Y @ SV25 ) ) ) )
        = $true )
      | ( ( ca_Vx5 @ SV25 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(226,plain,
    ! [SV26: $i] :
      ( ( ( ~ ( ca_Vx5 @ SV26 ) )
        = $true )
      | ( ( ! [SY52: $i] :
              ( ~ ( rr @ SV26 @ SY52 )
              | ( cc @ SY52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(227,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( ~ ( rinvP @ SV27 @ ( sK1_Y @ SV27 ) )
              | ~ ~ ( ca_Vx6 @ ( sK1_Y @ SV27 ) ) ) )
        = $true )
      | ( ( ca_Vx7 @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[196]) ).

thf(228,plain,
    ! [SV28: $i] :
      ( ( ( ~ ( ca_Vx7 @ SV28 ) )
        = $true )
      | ( ( ! [SY53: $i] :
              ( ~ ( rinvP @ SV28 @ SY53 )
              | ( ca_Vx6 @ SY53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[197]) ).

thf(229,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( ~ ( rinvS @ SV29 @ ( sK2_Y @ SV29 ) )
              | ~ ~ ( caxcomp @ ( sK2_Y @ SV29 ) ) ) )
        = $true )
      | ( ( ca_Vx6 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[198]) ).

thf(230,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( ca_Vx6 @ SV30 ) )
        = $true )
      | ( ( ! [SY54: $i] :
              ( ~ ( rinvS @ SV30 @ SY54 )
              | ( caxcomp @ SY54 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[199]) ).

thf(231,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( ca @ SV31 ) )
        = $true )
      | ( ( ! [SY55: $i] :
              ~ ( ra_Px1 @ SV31 @ SY55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[200]) ).

thf(232,plain,
    ! [SV32: $i] :
      ( ( ( ra_Px1 @ SV32 @ ( sK14_Y @ SV32 ) )
        = $true )
      | ( ( ca @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[201]) ).

thf(233,plain,
    ! [SV5: $i,SV4: $i,SV2: $i] :
      ( ( ( rp @ SV2 @ SV4 )
        = $false )
      | ( ( ~ ( rp @ SV4 @ SV5 ) )
        = $true )
      | ( ( rp @ SV2 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[202]) ).

thf(234,plain,
    ! [SV6: $i,SV39: $i] :
      ( ( ( ~ ( cowlThing @ SV39 )
          | ~ ( rr @ SV6 @ SV39 ) )
        = $true )
      | ( ( ca_Vx3 @ SV6 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[203]) ).

thf(235,plain,
    ! [SV7: $i] :
      ( ( ( ca_Vx3 @ SV7 )
        = $false )
      | ( ( ~ ( ~ ( cowlThing @ ( sK5_Y @ SV7 ) )
              | ~ ( rr @ SV7 @ ( sK5_Y @ SV7 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[204]) ).

thf(236,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( rinvR @ SV8 @ ( sK12_Y @ SV8 ) )
          | ~ ~ ( ca_Vx7 @ ( sK12_Y @ SV8 ) ) )
        = $false )
      | ( ( cc @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(237,plain,
    ! [SV9: $i] :
      ( ( ( cc @ SV9 )
        = $false )
      | ( ( ! [SY41: $i] :
              ( ~ ( rinvR @ SV9 @ SY41 )
              | ( ca_Vx7 @ SY41 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(238,plain,
    ! [SV33: $i,SV10: $i] :
      ( ( ( ~ ( rinvR @ SV10 @ SV33 ) )
        = $true )
      | ( ( rr @ SV33 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[207]) ).

thf(239,plain,
    ! [SV11: $i,SV34: $i] :
      ( ( ( ~ ( rr @ SV34 @ SV11 ) )
        = $true )
      | ( ( rinvR @ SV11 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[208]) ).

thf(240,plain,
    ! [SV35: $i,SV12: $i] :
      ( ( ( ~ ( rinvS @ SV12 @ SV35 ) )
        = $true )
      | ( ( rs @ SV35 @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[209]) ).

thf(241,plain,
    ! [SV13: $i,SV36: $i] :
      ( ( ( ~ ( rs @ SV36 @ SV13 ) )
        = $true )
      | ( ( rinvS @ SV13 @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[210]) ).

thf(242,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
              | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[211]) ).

thf(243,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Ax2 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rp @ SX0 @ SX1 )
              | ( ca_Vx4 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[212]) ).

thf(244,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                            ( ~ ( ca_Ax2 @ SX0 )
                            | ! [SX1: $i] :
                                ( ~ ( rr @ SX0 @ SX1 )
                                | ( cc @ SX1 ) ) )
                      | ~ ~ ( ~ ! [SX0: $i] :
                                  ( ~ ( ca_Ax2 @ SX0 )
                                  | ! [SX1: $i] :
                                      ( ~ ( rp @ SX0 @ SX1 )
                                      | ( ca_Vx3 @ SX1 ) ) )
                            | ~ ! [SX0: $i] :
                                  ( ~ ( ca_Ax2 @ SX0 )
                                  | ! [SX1: $i] :
                                      ( ~ ( rp @ SX0 @ SX1 )
                                      | ( ca_Vx5 @ SX1 ) ) ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( ca_Ax2 @ SX0 )
                      | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                          | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Ax2 @ SX0 )
                | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                    | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(245,plain,
    ! [SV37: $i,SV15: $i] :
      ( ( ( ~ ( rinvP @ SV15 @ SV37 ) )
        = $true )
      | ( ( rp @ SV37 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[214]) ).

thf(246,plain,
    ! [SV16: $i,SV38: $i] :
      ( ( ( ~ ( rp @ SV38 @ SV16 ) )
        = $true )
      | ( ( rinvP @ SV16 @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[215]) ).

thf(247,plain,
    ! [SV3: $i] :
      ( ( ( ca_Ax2 @ ( sK15_Y @ SV3 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[217]) ).

thf(248,plain,
    ! [SV3: $i] :
      ( ( ( rs @ SV3 @ ( sK15_Y @ SV3 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[218]) ).

thf(249,plain,
    ! [SV19: $i] :
      ( ( ( xsd_string @ SV19 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[219]) ).

thf(250,plain,
    ! [SV21: $i,SV40: $i] :
      ( ( ( ~ ( cowlThing @ SV40 )
          | ~ ( rp @ SV21 @ SV40 ) )
        = $true )
      | ( ( ca_Vx4 @ SV21 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[221]) ).

thf(251,plain,
    ! [SV22: $i] :
      ( ( ( ca_Vx4 @ SV22 )
        = $false )
      | ( ( ~ ( ~ ( cowlThing @ ( sK4_Y @ SV22 ) )
              | ~ ( rp @ SV22 @ ( sK4_Y @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(252,plain,
    ! [SV41: $i,SV23: $i] :
      ( ( ( ~ ( ra_Px1 @ SV23 @ SV41 ) )
        = $true )
      | ( ( caxcomp @ SV23 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(253,plain,
    ! [SV24: $i] :
      ( ( ( caxcomp @ SV24 )
        = $false )
      | ( ( ra_Px1 @ SV24 @ ( sK13_Y0 @ SV24 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(254,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( rr @ SV25 @ ( sK3_Y @ SV25 ) )
          | ~ ~ ( cc @ ( sK3_Y @ SV25 ) ) )
        = $false )
      | ( ( ca_Vx5 @ SV25 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[225]) ).

thf(255,plain,
    ! [SV26: $i] :
      ( ( ( ca_Vx5 @ SV26 )
        = $false )
      | ( ( ! [SY52: $i] :
              ( ~ ( rr @ SV26 @ SY52 )
              | ( cc @ SY52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(256,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( rinvP @ SV27 @ ( sK1_Y @ SV27 ) )
          | ~ ~ ( ca_Vx6 @ ( sK1_Y @ SV27 ) ) )
        = $false )
      | ( ( ca_Vx7 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(257,plain,
    ! [SV28: $i] :
      ( ( ( ca_Vx7 @ SV28 )
        = $false )
      | ( ( ! [SY53: $i] :
              ( ~ ( rinvP @ SV28 @ SY53 )
              | ( ca_Vx6 @ SY53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(258,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( rinvS @ SV29 @ ( sK2_Y @ SV29 ) )
          | ~ ~ ( caxcomp @ ( sK2_Y @ SV29 ) ) )
        = $false )
      | ( ( ca_Vx6 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[229]) ).

thf(259,plain,
    ! [SV30: $i] :
      ( ( ( ca_Vx6 @ SV30 )
        = $false )
      | ( ( ! [SY54: $i] :
              ( ~ ( rinvS @ SV30 @ SY54 )
              | ( caxcomp @ SY54 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(260,plain,
    ! [SV31: $i] :
      ( ( ( ca @ SV31 )
        = $false )
      | ( ( ! [SY55: $i] :
              ~ ( ra_Px1 @ SV31 @ SY55 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[231]) ).

thf(261,plain,
    ! [SV2: $i,SV5: $i,SV4: $i] :
      ( ( ( rp @ SV4 @ SV5 )
        = $false )
      | ( ( rp @ SV2 @ SV4 )
        = $false )
      | ( ( rp @ SV2 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(262,plain,
    ! [SV6: $i,SV39: $i] :
      ( ( ( ~ ( cowlThing @ SV39 ) )
        = $true )
      | ( ( ~ ( rr @ SV6 @ SV39 ) )
        = $true )
      | ( ( ca_Vx3 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[234]) ).

thf(263,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( cowlThing @ ( sK5_Y @ SV7 ) )
          | ~ ( rr @ SV7 @ ( sK5_Y @ SV7 ) ) )
        = $false )
      | ( ( ca_Vx3 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(264,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( rinvR @ SV8 @ ( sK12_Y @ SV8 ) ) )
        = $false )
      | ( ( cc @ SV8 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[236]) ).

thf(265,plain,
    ! [SV8: $i] :
      ( ( ( ~ ~ ( ca_Vx7 @ ( sK12_Y @ SV8 ) ) )
        = $false )
      | ( ( cc @ SV8 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[236]) ).

thf(266,plain,
    ! [SV42: $i,SV9: $i] :
      ( ( ( ~ ( rinvR @ SV9 @ SV42 )
          | ( ca_Vx7 @ SV42 ) )
        = $true )
      | ( ( cc @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(267,plain,
    ! [SV33: $i,SV10: $i] :
      ( ( ( rinvR @ SV10 @ SV33 )
        = $false )
      | ( ( rr @ SV33 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(268,plain,
    ! [SV11: $i,SV34: $i] :
      ( ( ( rr @ SV34 @ SV11 )
        = $false )
      | ( ( rinvR @ SV11 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(269,plain,
    ! [SV35: $i,SV12: $i] :
      ( ( ( rinvS @ SV12 @ SV35 )
        = $false )
      | ( ( rs @ SV35 @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(270,plain,
    ! [SV13: $i,SV36: $i] :
      ( ( ( rs @ SV36 @ SV13 )
        = $false )
      | ( ( rinvS @ SV13 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(271,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
          | ~ ~ ( ca_Vx4 @ ( sK11_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[242]) ).

thf(272,plain,
    ! [SV43: $i] :
      ( ( ~ ( ca_Ax2 @ SV43 )
        | ! [SY56: $i] :
            ( ~ ( rp @ SV43 @ SY56 )
            | ( ca_Vx4 @ SY56 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(273,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cc @ SX1 ) ) )
                  | ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ! [SX1: $i] :
                                  ( ~ ( rp @ SX0 @ SX1 )
                                  | ( ca_Vx3 @ SX1 ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ! [SX1: $i] :
                                  ( ~ ( rp @ SX0 @ SX1 )
                                  | ( ca_Vx5 @ SX1 ) ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                      | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[244]) ).

thf(274,plain,
    ! [SV37: $i,SV15: $i] :
      ( ( ( rinvP @ SV15 @ SV37 )
        = $false )
      | ( ( rp @ SV37 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[245]) ).

thf(275,plain,
    ! [SV16: $i,SV38: $i] :
      ( ( ( rp @ SV38 @ SV16 )
        = $false )
      | ( ( rinvP @ SV16 @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(276,plain,
    ! [SV19: $i] :
      ( ( ( xsd_integer @ SV19 )
        = $false )
      | ( ( xsd_string @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(277,plain,
    ! [SV21: $i,SV40: $i] :
      ( ( ( ~ ( cowlThing @ SV40 ) )
        = $true )
      | ( ( ~ ( rp @ SV21 @ SV40 ) )
        = $true )
      | ( ( ca_Vx4 @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[250]) ).

thf(278,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( cowlThing @ ( sK4_Y @ SV22 ) )
          | ~ ( rp @ SV22 @ ( sK4_Y @ SV22 ) ) )
        = $false )
      | ( ( ca_Vx4 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(279,plain,
    ! [SV41: $i,SV23: $i] :
      ( ( ( ra_Px1 @ SV23 @ SV41 )
        = $false )
      | ( ( caxcomp @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[252]) ).

thf(280,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( rr @ SV25 @ ( sK3_Y @ SV25 ) ) )
        = $false )
      | ( ( ca_Vx5 @ SV25 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(281,plain,
    ! [SV25: $i] :
      ( ( ( ~ ~ ( cc @ ( sK3_Y @ SV25 ) ) )
        = $false )
      | ( ( ca_Vx5 @ SV25 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(282,plain,
    ! [SV44: $i,SV26: $i] :
      ( ( ( ~ ( rr @ SV26 @ SV44 )
          | ( cc @ SV44 ) )
        = $true )
      | ( ( ca_Vx5 @ SV26 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(283,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( rinvP @ SV27 @ ( sK1_Y @ SV27 ) ) )
        = $false )
      | ( ( ca_Vx7 @ SV27 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(284,plain,
    ! [SV27: $i] :
      ( ( ( ~ ~ ( ca_Vx6 @ ( sK1_Y @ SV27 ) ) )
        = $false )
      | ( ( ca_Vx7 @ SV27 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(285,plain,
    ! [SV45: $i,SV28: $i] :
      ( ( ( ~ ( rinvP @ SV28 @ SV45 )
          | ( ca_Vx6 @ SV45 ) )
        = $true )
      | ( ( ca_Vx7 @ SV28 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(286,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( rinvS @ SV29 @ ( sK2_Y @ SV29 ) ) )
        = $false )
      | ( ( ca_Vx6 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(287,plain,
    ! [SV29: $i] :
      ( ( ( ~ ~ ( caxcomp @ ( sK2_Y @ SV29 ) ) )
        = $false )
      | ( ( ca_Vx6 @ SV29 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(288,plain,
    ! [SV46: $i,SV30: $i] :
      ( ( ( ~ ( rinvS @ SV30 @ SV46 )
          | ( caxcomp @ SV46 ) )
        = $true )
      | ( ( ca_Vx6 @ SV30 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(289,plain,
    ! [SV47: $i,SV31: $i] :
      ( ( ( ~ ( ra_Px1 @ SV31 @ SV47 ) )
        = $true )
      | ( ( ca @ SV31 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(290,plain,
    ! [SV6: $i,SV39: $i] :
      ( ( ( cowlThing @ SV39 )
        = $false )
      | ( ( ~ ( rr @ SV6 @ SV39 ) )
        = $true )
      | ( ( ca_Vx3 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[262]) ).

thf(291,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( cowlThing @ ( sK5_Y @ SV7 ) ) )
        = $false )
      | ( ( ca_Vx3 @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(292,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( rr @ SV7 @ ( sK5_Y @ SV7 ) ) )
        = $false )
      | ( ( ca_Vx3 @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(293,plain,
    ! [SV8: $i] :
      ( ( ( rinvR @ SV8 @ ( sK12_Y @ SV8 ) )
        = $true )
      | ( ( cc @ SV8 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[264]) ).

thf(294,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( ca_Vx7 @ ( sK12_Y @ SV8 ) ) )
        = $true )
      | ( ( cc @ SV8 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[265]) ).

thf(295,plain,
    ! [SV42: $i,SV9: $i] :
      ( ( ( ~ ( rinvR @ SV9 @ SV42 ) )
        = $true )
      | ( ( ca_Vx7 @ SV42 )
        = $true )
      | ( ( cc @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(296,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK11_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[271]) ).

thf(297,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx4 @ ( sK11_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[271]) ).

thf(298,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( ca_Ax2 @ SV43 ) )
        = $true )
      | ( ( ! [SY56: $i] :
              ( ~ ( rp @ SV43 @ SY56 )
              | ( ca_Vx4 @ SY56 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(299,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cc @ SX1 ) ) )
                  | ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ! [SX1: $i] :
                                  ( ~ ( rp @ SX0 @ SX1 )
                                  | ( ca_Vx3 @ SX1 ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( ca_Ax2 @ SX0 )
                              | ! [SX1: $i] :
                                  ( ~ ( rp @ SX0 @ SX1 )
                                  | ( ca_Vx5 @ SX1 ) ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                      | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[273]) ).

thf(300,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
                | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[273]) ).

thf(301,plain,
    ! [SV21: $i,SV40: $i] :
      ( ( ( cowlThing @ SV40 )
        = $false )
      | ( ( ~ ( rp @ SV21 @ SV40 ) )
        = $true )
      | ( ( ca_Vx4 @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(302,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( cowlThing @ ( sK4_Y @ SV22 ) ) )
        = $false )
      | ( ( ca_Vx4 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[278]) ).

thf(303,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( rp @ SV22 @ ( sK4_Y @ SV22 ) ) )
        = $false )
      | ( ( ca_Vx4 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[278]) ).

thf(304,plain,
    ! [SV25: $i] :
      ( ( ( rr @ SV25 @ ( sK3_Y @ SV25 ) )
        = $true )
      | ( ( ca_Vx5 @ SV25 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[280]) ).

thf(305,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( cc @ ( sK3_Y @ SV25 ) ) )
        = $true )
      | ( ( ca_Vx5 @ SV25 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[281]) ).

thf(306,plain,
    ! [SV44: $i,SV26: $i] :
      ( ( ( ~ ( rr @ SV26 @ SV44 ) )
        = $true )
      | ( ( cc @ SV44 )
        = $true )
      | ( ( ca_Vx5 @ SV26 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[282]) ).

thf(307,plain,
    ! [SV27: $i] :
      ( ( ( rinvP @ SV27 @ ( sK1_Y @ SV27 ) )
        = $true )
      | ( ( ca_Vx7 @ SV27 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(308,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( ca_Vx6 @ ( sK1_Y @ SV27 ) ) )
        = $true )
      | ( ( ca_Vx7 @ SV27 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[284]) ).

thf(309,plain,
    ! [SV45: $i,SV28: $i] :
      ( ( ( ~ ( rinvP @ SV28 @ SV45 ) )
        = $true )
      | ( ( ca_Vx6 @ SV45 )
        = $true )
      | ( ( ca_Vx7 @ SV28 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[285]) ).

thf(310,plain,
    ! [SV29: $i] :
      ( ( ( rinvS @ SV29 @ ( sK2_Y @ SV29 ) )
        = $true )
      | ( ( ca_Vx6 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[286]) ).

thf(311,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( caxcomp @ ( sK2_Y @ SV29 ) ) )
        = $true )
      | ( ( ca_Vx6 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[287]) ).

thf(312,plain,
    ! [SV46: $i,SV30: $i] :
      ( ( ( ~ ( rinvS @ SV30 @ SV46 ) )
        = $true )
      | ( ( caxcomp @ SV46 )
        = $true )
      | ( ( ca_Vx6 @ SV30 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(313,plain,
    ! [SV47: $i,SV31: $i] :
      ( ( ( ra_Px1 @ SV31 @ SV47 )
        = $false )
      | ( ( ca @ SV31 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[289]) ).

thf(314,plain,
    ! [SV39: $i,SV6: $i] :
      ( ( ( rr @ SV6 @ SV39 )
        = $false )
      | ( ( cowlThing @ SV39 )
        = $false )
      | ( ( ca_Vx3 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[290]) ).

thf(315,plain,
    ! [SV7: $i] :
      ( ( ( cowlThing @ ( sK5_Y @ SV7 ) )
        = $true )
      | ( ( ca_Vx3 @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[291]) ).

thf(316,plain,
    ! [SV7: $i] :
      ( ( ( rr @ SV7 @ ( sK5_Y @ SV7 ) )
        = $true )
      | ( ( ca_Vx3 @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[292]) ).

thf(317,plain,
    ! [SV8: $i] :
      ( ( ( ca_Vx7 @ ( sK12_Y @ SV8 ) )
        = $false )
      | ( ( cc @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[294]) ).

thf(318,plain,
    ! [SV42: $i,SV9: $i] :
      ( ( ( rinvR @ SV9 @ SV42 )
        = $false )
      | ( ( ca_Vx7 @ SV42 )
        = $true )
      | ( ( cc @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[295]) ).

thf(319,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[296]) ).

thf(320,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx4 @ ( sK11_Y @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[297]) ).

thf(321,plain,
    ! [SV43: $i] :
      ( ( ( ca_Ax2 @ SV43 )
        = $false )
      | ( ( ! [SY56: $i] :
              ( ~ ( rp @ SV43 @ SY56 )
              | ( ca_Vx4 @ SY56 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[298]) ).

thf(322,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( ca_Ax2 @ SX0 )
                      | ! [SX1: $i] :
                          ( ~ ( rr @ SX0 @ SX1 )
                          | ( cc @ SX1 ) ) )
                | ~ ~ ( ~ ! [SX0: $i] :
                            ( ~ ( ca_Ax2 @ SX0 )
                            | ! [SX1: $i] :
                                ( ~ ( rp @ SX0 @ SX1 )
                                | ( ca_Vx3 @ SX1 ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( ca_Ax2 @ SX0 )
                            | ! [SX1: $i] :
                                ( ~ ( rp @ SX0 @ SX1 )
                                | ( ca_Vx5 @ SX1 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Ax2 @ SX0 )
                | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                    | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[299]) ).

thf(323,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Ax2 @ SX0 )
          | ~ ( ~ ( cowlThing @ ( sK6_Y @ SX0 ) )
              | ~ ( rp @ SX0 @ ( sK6_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[300]) ).

thf(324,plain,
    ! [SV40: $i,SV21: $i] :
      ( ( ( rp @ SV21 @ SV40 )
        = $false )
      | ( ( cowlThing @ SV40 )
        = $false )
      | ( ( ca_Vx4 @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(325,plain,
    ! [SV22: $i] :
      ( ( ( cowlThing @ ( sK4_Y @ SV22 ) )
        = $true )
      | ( ( ca_Vx4 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[302]) ).

thf(326,plain,
    ! [SV22: $i] :
      ( ( ( rp @ SV22 @ ( sK4_Y @ SV22 ) )
        = $true )
      | ( ( ca_Vx4 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[303]) ).

thf(327,plain,
    ! [SV25: $i] :
      ( ( ( cc @ ( sK3_Y @ SV25 ) )
        = $false )
      | ( ( ca_Vx5 @ SV25 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[305]) ).

thf(328,plain,
    ! [SV44: $i,SV26: $i] :
      ( ( ( rr @ SV26 @ SV44 )
        = $false )
      | ( ( cc @ SV44 )
        = $true )
      | ( ( ca_Vx5 @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(329,plain,
    ! [SV27: $i] :
      ( ( ( ca_Vx6 @ ( sK1_Y @ SV27 ) )
        = $false )
      | ( ( ca_Vx7 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[308]) ).

thf(330,plain,
    ! [SV45: $i,SV28: $i] :
      ( ( ( rinvP @ SV28 @ SV45 )
        = $false )
      | ( ( ca_Vx6 @ SV45 )
        = $true )
      | ( ( ca_Vx7 @ SV28 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(331,plain,
    ! [SV29: $i] :
      ( ( ( caxcomp @ ( sK2_Y @ SV29 ) )
        = $false )
      | ( ( ca_Vx6 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[311]) ).

thf(332,plain,
    ! [SV46: $i,SV30: $i] :
      ( ( ( rinvS @ SV30 @ SV46 )
        = $false )
      | ( ( caxcomp @ SV46 )
        = $true )
      | ( ( ca_Vx6 @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[312]) ).

thf(333,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[319]) ).

thf(334,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) )
          | ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[320]) ).

thf(335,plain,
    ! [SV48: $i,SV43: $i] :
      ( ( ( ~ ( rp @ SV43 @ SV48 )
          | ( ca_Vx4 @ SV48 ) )
        = $true )
      | ( ( ca_Ax2 @ SV43 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(336,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cc @ SX1 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rp @ SX0 @ SX1 )
                            | ( ca_Vx3 @ SX1 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rp @ SX0 @ SX1 )
                            | ( ca_Vx5 @ SX1 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[322]) ).

thf(337,plain,
    ! [SV49: $i] :
      ( ( ~ ( ca_Ax2 @ SV49 )
        | ~ ( ~ ( cowlThing @ ( sK6_Y @ SV49 ) )
            | ~ ( rp @ SV49 @ ( sK6_Y @ SV49 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(338,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(339,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
          | ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[334]) ).

thf(340,plain,
    ! [SV48: $i,SV43: $i] :
      ( ( ( ~ ( rp @ SV43 @ SV48 ) )
        = $true )
      | ( ( ca_Vx4 @ SV48 )
        = $true )
      | ( ( ca_Ax2 @ SV43 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(341,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cc @ SX1 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rp @ SX0 @ SX1 )
                            | ( ca_Vx3 @ SX1 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( ca_Ax2 @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rp @ SX0 @ SX1 )
                            | ( ca_Vx5 @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(342,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(343,plain,
    ! [SV49: $i] :
      ( ( ( ~ ( ca_Ax2 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ( cowlThing @ ( sK6_Y @ SV49 ) )
              | ~ ( rp @ SV49 @ ( sK6_Y @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[337]) ).

thf(344,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[338]) ).

thf(345,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[339]) ).

thf(346,plain,
    ! [SV48: $i,SV43: $i] :
      ( ( ( rp @ SV43 @ SV48 )
        = $false )
      | ( ( ca_Vx4 @ SV48 )
        = $true )
      | ( ( ca_Ax2 @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(347,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ca_Ax2 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rr @ SX0 @ SX1 )
                    | ( cc @ SX1 ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( ca_Ax2 @ SX0 )
                      | ! [SX1: $i] :
                          ( ~ ( rp @ SX0 @ SX1 )
                          | ( ca_Vx3 @ SX1 ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( ca_Ax2 @ SX0 )
                      | ! [SX1: $i] :
                          ( ~ ( rp @ SX0 @ SX1 )
                          | ( ca_Vx5 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[341]) ).

thf(348,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Ax2 @ SX0 )
          | ~ ( ~ ( cowlThing @ ( sK7_Y @ SX0 ) )
              | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[342]) ).

thf(349,plain,
    ! [SV49: $i] :
      ( ( ( ca_Ax2 @ SV49 )
        = $false )
      | ( ( ~ ( ~ ( cowlThing @ ( sK6_Y @ SV49 ) )
              | ~ ( rp @ SV49 @ ( sK6_Y @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(350,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
          | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[344]) ).

thf(351,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
              | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(352,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( cc @ SX1 ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rp @ SX0 @ SX1 )
                      | ( ca_Vx3 @ SX1 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rp @ SX0 @ SX1 )
                      | ( ca_Vx5 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(353,plain,
    ! [SV50: $i] :
      ( ( ~ ( ca_Ax2 @ SV50 )
        | ~ ( ~ ( cowlThing @ ( sK7_Y @ SV50 ) )
            | ~ ( rr @ SV50 @ ( sK7_Y @ SV50 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(354,plain,
    ! [SV49: $i] :
      ( ( ( ~ ( cowlThing @ ( sK6_Y @ SV49 ) )
          | ~ ( rp @ SV49 @ ( sK6_Y @ SV49 ) ) )
        = $false )
      | ( ( ca_Ax2 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[349]) ).

thf(355,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(356,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(357,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
          | ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(358,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( cc @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(359,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rp @ SX0 @ SX1 )
                      | ( ca_Vx3 @ SX1 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Ax2 @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rp @ SX0 @ SX1 )
                      | ( ca_Vx5 @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(360,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( ca_Ax2 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ( cowlThing @ ( sK7_Y @ SV50 ) )
              | ~ ( rr @ SV50 @ ( sK7_Y @ SV50 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[353]) ).

thf(361,plain,
    ! [SV49: $i] :
      ( ( ( ~ ( cowlThing @ ( sK6_Y @ SV49 ) ) )
        = $false )
      | ( ( ca_Ax2 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[354]) ).

thf(362,plain,
    ! [SV49: $i] :
      ( ( ( ~ ( rp @ SV49 @ ( sK6_Y @ SV49 ) ) )
        = $false )
      | ( ( ca_Ax2 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[354]) ).

thf(363,plain,
    ! [SV14: $i] :
      ( ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(364,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( cc @ ( sK10_Y @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(365,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rr @ SV14 @ ( sK10_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(366,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( cc @ ( sK10_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(367,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Ax2 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rr @ SX0 @ SX1 )
              | ( cc @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[358]) ).

thf(368,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ca_Ax2 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rp @ SX0 @ SX1 )
                    | ( ca_Vx3 @ SX1 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Ax2 @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rp @ SX0 @ SX1 )
                    | ( ca_Vx5 @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(369,plain,
    ! [SV50: $i] :
      ( ( ( ca_Ax2 @ SV50 )
        = $false )
      | ( ( ~ ( ~ ( cowlThing @ ( sK7_Y @ SV50 ) )
              | ~ ( rr @ SV50 @ ( sK7_Y @ SV50 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(370,plain,
    ! [SV49: $i] :
      ( ( ( cowlThing @ ( sK6_Y @ SV49 ) )
        = $true )
      | ( ( ca_Ax2 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[361]) ).

thf(371,plain,
    ! [SV49: $i] :
      ( ( ( rp @ SV49 @ ( sK6_Y @ SV49 ) )
        = $true )
      | ( ( ca_Ax2 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[362]) ).

thf(372,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[363]) ).

thf(373,plain,
    ! [SV14: $i] :
      ( ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[364]) ).

thf(374,plain,
    ! [SV14: $i] :
      ( ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[365]) ).

thf(375,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( cc @ ( sK10_Y @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[366]) ).

thf(376,plain,
    ! [SV51: $i] :
      ( ( ~ ( ca_Ax2 @ SV51 )
        | ! [SY57: $i] :
            ( ~ ( rr @ SV51 @ SY57 )
            | ( cc @ SY57 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(377,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rp @ SX0 @ SX1 )
                | ( ca_Vx3 @ SX1 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rp @ SX0 @ SX1 )
                | ( ca_Vx5 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(378,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( cowlThing @ ( sK7_Y @ SV50 ) )
          | ~ ( rr @ SV50 @ ( sK7_Y @ SV50 ) ) )
        = $false )
      | ( ( ca_Ax2 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[369]) ).

thf(379,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
          | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[372]) ).

thf(380,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[373]) ).

thf(381,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[374]) ).

thf(382,plain,
    ! [SV14: $i] :
      ( ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
          | ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[375]) ).

thf(383,plain,
    ! [SV51: $i] :
      ( ( ( ~ ( ca_Ax2 @ SV51 ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ( ~ ( rr @ SV51 @ SY57 )
              | ( cc @ SY57 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(384,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rp @ SX0 @ SX1 )
                | ( ca_Vx3 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[377]) ).

thf(385,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Ax2 @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rp @ SX0 @ SX1 )
                | ( ca_Vx5 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[377]) ).

thf(386,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( cowlThing @ ( sK7_Y @ SV50 ) ) )
        = $false )
      | ( ( ca_Ax2 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[378]) ).

thf(387,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( rr @ SV50 @ ( sK7_Y @ SV50 ) ) )
        = $false )
      | ( ( ca_Ax2 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[378]) ).

thf(388,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[379]) ).

thf(389,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[379]) ).

thf(390,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
          | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(391,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
          | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[381]) ).

thf(392,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
              | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(393,plain,
    ! [SV51: $i] :
      ( ( ( ca_Ax2 @ SV51 )
        = $false )
      | ( ( ! [SY57: $i] :
              ( ~ ( rr @ SV51 @ SY57 )
              | ( cc @ SY57 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(394,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Ax2 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rp @ SX0 @ SX1 )
              | ( ca_Vx3 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[384]) ).

thf(395,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Ax2 @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rp @ SX0 @ SX1 )
              | ( ca_Vx5 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[385]) ).

thf(396,plain,
    ! [SV50: $i] :
      ( ( ( cowlThing @ ( sK7_Y @ SV50 ) )
        = $true )
      | ( ( ca_Ax2 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[386]) ).

thf(397,plain,
    ! [SV50: $i] :
      ( ( ( rr @ SV50 @ ( sK7_Y @ SV50 ) )
        = $true )
      | ( ( ca_Ax2 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[387]) ).

thf(398,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[388]) ).

thf(399,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[389]) ).

thf(400,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[390]) ).

thf(401,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[390]) ).

thf(402,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[391]) ).

thf(403,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[391]) ).

thf(404,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
          | ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(405,plain,
    ! [SV52: $i,SV51: $i] :
      ( ( ( ~ ( rr @ SV51 @ SV52 )
          | ( cc @ SV52 ) )
        = $true )
      | ( ( ca_Ax2 @ SV51 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(406,plain,
    ! [SV53: $i] :
      ( ( ~ ( ca_Ax2 @ SV53 )
        | ! [SY58: $i] :
            ( ~ ( rp @ SV53 @ SY58 )
            | ( ca_Vx3 @ SY58 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(407,plain,
    ! [SV54: $i] :
      ( ( ~ ( ca_Ax2 @ SV54 )
        | ! [SY59: $i] :
            ( ~ ( rp @ SV54 @ SY59 )
            | ( ca_Vx5 @ SY59 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(408,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(409,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(410,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(411,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[401]) ).

thf(412,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[402]) ).

thf(413,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[403]) ).

thf(414,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[404]) ).

thf(415,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[404]) ).

thf(416,plain,
    ! [SV52: $i,SV51: $i] :
      ( ( ( ~ ( rr @ SV51 @ SV52 ) )
        = $true )
      | ( ( cc @ SV52 )
        = $true )
      | ( ( ca_Ax2 @ SV51 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[405]) ).

thf(417,plain,
    ! [SV53: $i] :
      ( ( ( ~ ( ca_Ax2 @ SV53 ) )
        = $true )
      | ( ( ! [SY58: $i] :
              ( ~ ( rp @ SV53 @ SY58 )
              | ( ca_Vx3 @ SY58 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[406]) ).

thf(418,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( ca_Ax2 @ SV54 ) )
        = $true )
      | ( ( ! [SY59: $i] :
              ( ~ ( rp @ SV54 @ SY59 )
              | ( ca_Vx5 @ SY59 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[407]) ).

thf(419,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[408]) ).

thf(420,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[408]) ).

thf(421,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(422,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(423,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(424,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(425,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(426,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(427,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx3 @ ( sK9_Y @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[415]) ).

thf(428,plain,
    ! [SV52: $i,SV51: $i] :
      ( ( ( rr @ SV51 @ SV52 )
        = $false )
      | ( ( cc @ SV52 )
        = $true )
      | ( ( ca_Ax2 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(429,plain,
    ! [SV53: $i] :
      ( ( ( ca_Ax2 @ SV53 )
        = $false )
      | ( ( ! [SY58: $i] :
              ( ~ ( rp @ SV53 @ SY58 )
              | ( ca_Vx3 @ SY58 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(430,plain,
    ! [SV54: $i] :
      ( ( ( ca_Ax2 @ SV54 )
        = $false )
      | ( ( ! [SY59: $i] :
              ( ~ ( rp @ SV54 @ SY59 )
              | ( ca_Vx5 @ SY59 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[418]) ).

thf(431,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[419]) ).

thf(432,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[420]) ).

thf(433,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(434,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(435,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(436,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(437,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(438,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[424]) ).

thf(439,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[424]) ).

thf(440,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(441,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(442,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
              | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(443,plain,
    ! [SV55: $i,SV53: $i] :
      ( ( ( ~ ( rp @ SV53 @ SV55 )
          | ( ca_Vx3 @ SV55 ) )
        = $true )
      | ( ( ca_Ax2 @ SV53 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(444,plain,
    ! [SV56: $i,SV54: $i] :
      ( ( ( ~ ( rp @ SV54 @ SV56 )
          | ( ca_Vx5 @ SV56 ) )
        = $true )
      | ( ( ca_Ax2 @ SV54 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(445,plain,
    ! [SV14: $i,SV57: $i] :
      ( ( ( ~ ( cowlThing @ SV57 )
          | ~ ( rr @ SV14 @ SV57 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(446,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(447,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[433]) ).

thf(448,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[434]) ).

thf(449,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[435]) ).

thf(450,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[436]) ).

thf(451,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(452,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(453,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[438]) ).

thf(454,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[439]) ).

thf(455,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[440]) ).

thf(456,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[440]) ).

thf(457,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[441]) ).

thf(458,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[441]) ).

thf(459,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
          | ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(460,plain,
    ! [SV55: $i,SV53: $i] :
      ( ( ( ~ ( rp @ SV53 @ SV55 ) )
        = $true )
      | ( ( ca_Vx3 @ SV55 )
        = $true )
      | ( ( ca_Ax2 @ SV53 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[443]) ).

thf(461,plain,
    ! [SV56: $i,SV54: $i] :
      ( ( ( ~ ( rp @ SV54 @ SV56 ) )
        = $true )
      | ( ( ca_Vx5 @ SV56 )
        = $true )
      | ( ( ca_Ax2 @ SV54 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[444]) ).

thf(462,plain,
    ! [SV14: $i,SV57: $i] :
      ( ( ( ~ ( cowlThing @ SV57 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV57 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[445]) ).

thf(463,plain,
    ! [SV14: $i,SV58: $i] :
      ( ( ( ~ ( cowlThing @ SV58 )
          | ~ ( rr @ SV14 @ SV58 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(464,plain,
    ! [SV14: $i,SV59: $i] :
      ( ( ( ~ ( cowlThing @ SV59 )
          | ~ ( rr @ SV14 @ SV59 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(465,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(466,plain,
    ! [SV14: $i,SV60: $i] :
      ( ( ( ~ ( cowlThing @ SV60 )
          | ~ ( rr @ SV14 @ SV60 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[449]) ).

thf(467,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(468,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[451]) ).

thf(469,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[452]) ).

thf(470,plain,
    ! [SV14: $i,SV61: $i] :
      ( ( ( ~ ( cowlThing @ SV61 )
          | ~ ( rr @ SV14 @ SV61 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(471,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(472,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[455]) ).

thf(473,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(474,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[457]) ).

thf(475,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[458]) ).

thf(476,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( rp @ SV14 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[459]) ).

thf(477,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[459]) ).

thf(478,plain,
    ! [SV55: $i,SV53: $i] :
      ( ( ( rp @ SV53 @ SV55 )
        = $false )
      | ( ( ca_Vx3 @ SV55 )
        = $true )
      | ( ( ca_Ax2 @ SV53 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(479,plain,
    ! [SV56: $i,SV54: $i] :
      ( ( ( rp @ SV54 @ SV56 )
        = $false )
      | ( ( ca_Vx5 @ SV56 )
        = $true )
      | ( ( ca_Ax2 @ SV54 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[461]) ).

thf(480,plain,
    ! [SV14: $i,SV57: $i] :
      ( ( ( cowlThing @ SV57 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV57 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(481,plain,
    ! [SV14: $i,SV58: $i] :
      ( ( ( ~ ( cowlThing @ SV58 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV58 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[463]) ).

thf(482,plain,
    ! [SV14: $i,SV59: $i] :
      ( ( ( ~ ( cowlThing @ SV59 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV59 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[464]) ).

thf(483,plain,
    ! [SV14: $i,SV62: $i] :
      ( ( ( ~ ( cowlThing @ SV62 )
          | ~ ( rr @ SV14 @ SV62 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(484,plain,
    ! [SV14: $i,SV60: $i] :
      ( ( ( ~ ( cowlThing @ SV60 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV60 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[466]) ).

thf(485,plain,
    ! [SV14: $i,SV63: $i] :
      ( ( ( ~ ( cowlThing @ SV63 )
          | ~ ( rr @ SV14 @ SV63 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(486,plain,
    ! [SV14: $i,SV64: $i] :
      ( ( ( ~ ( cowlThing @ SV64 )
          | ~ ( rr @ SV14 @ SV64 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(487,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(488,plain,
    ! [SV14: $i,SV61: $i] :
      ( ( ( ~ ( cowlThing @ SV61 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV61 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[470]) ).

thf(489,plain,
    ! [SV14: $i,SV65: $i] :
      ( ( ( ~ ( cowlThing @ SV65 )
          | ~ ( rr @ SV14 @ SV65 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(490,plain,
    ! [SV14: $i,SV66: $i] :
      ( ( ( ~ ( cowlThing @ SV66 )
          | ~ ( rr @ SV14 @ SV66 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(491,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(492,plain,
    ! [SV14: $i,SV67: $i] :
      ( ( ( ~ ( cowlThing @ SV67 )
          | ~ ( rr @ SV14 @ SV67 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(493,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(494,plain,
    ! [SV14: $i] :
      ( ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(495,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Vx5 @ ( sK8_Y @ SV14 ) ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[477]) ).

thf(496,plain,
    ! [SV57: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV57 )
        = $false )
      | ( ( cowlThing @ SV57 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(497,plain,
    ! [SV14: $i,SV58: $i] :
      ( ( ( cowlThing @ SV58 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV58 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(498,plain,
    ! [SV14: $i,SV59: $i] :
      ( ( ( cowlThing @ SV59 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV59 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(499,plain,
    ! [SV14: $i,SV62: $i] :
      ( ( ( ~ ( cowlThing @ SV62 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV62 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[483]) ).

thf(500,plain,
    ! [SV14: $i,SV60: $i] :
      ( ( ( cowlThing @ SV60 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV60 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(501,plain,
    ! [SV14: $i,SV63: $i] :
      ( ( ( ~ ( cowlThing @ SV63 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV63 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[485]) ).

thf(502,plain,
    ! [SV14: $i,SV64: $i] :
      ( ( ( ~ ( cowlThing @ SV64 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV64 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(503,plain,
    ! [SV14: $i,SV68: $i] :
      ( ( ( ~ ( cowlThing @ SV68 )
          | ~ ( rr @ SV14 @ SV68 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(504,plain,
    ! [SV14: $i,SV61: $i] :
      ( ( ( cowlThing @ SV61 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV61 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(505,plain,
    ! [SV14: $i,SV65: $i] :
      ( ( ( ~ ( cowlThing @ SV65 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV65 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[489]) ).

thf(506,plain,
    ! [SV14: $i,SV66: $i] :
      ( ( ( ~ ( cowlThing @ SV66 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV66 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(507,plain,
    ! [SV14: $i,SV69: $i] :
      ( ( ( ~ ( cowlThing @ SV69 )
          | ~ ( rr @ SV14 @ SV69 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[491]) ).

thf(508,plain,
    ! [SV14: $i,SV67: $i] :
      ( ( ( ~ ( cowlThing @ SV67 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV67 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[492]) ).

thf(509,plain,
    ! [SV14: $i,SV70: $i] :
      ( ( ( ~ ( cowlThing @ SV70 )
          | ~ ( rr @ SV14 @ SV70 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[493]) ).

thf(510,plain,
    ! [SV14: $i,SV71: $i] :
      ( ( ( ~ ( cowlThing @ SV71 )
          | ~ ( rr @ SV14 @ SV71 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(511,plain,
    ! [SV14: $i] :
      ( ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY46: $i] :
              ( ~ ( cowlThing @ SY46 )
              | ~ ( rr @ SV14 @ SY46 ) ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(512,plain,
    ! [SV57: $i,SV14: $i,SV72: $i] :
      ( ( ( ~ ( cowlThing @ SV72 )
          | ~ ( rp @ SV14 @ SV72 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV57 )
        = $false )
      | ( ( rr @ SV14 @ SV57 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(513,plain,
    ! [SV58: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV58 )
        = $false )
      | ( ( cowlThing @ SV58 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[497]) ).

thf(514,plain,
    ! [SV59: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV59 )
        = $false )
      | ( ( cowlThing @ SV59 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[498]) ).

thf(515,plain,
    ! [SV14: $i,SV62: $i] :
      ( ( ( cowlThing @ SV62 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV62 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[499]) ).

thf(516,plain,
    ! [SV60: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV60 )
        = $false )
      | ( ( cowlThing @ SV60 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[500]) ).

thf(517,plain,
    ! [SV14: $i,SV63: $i] :
      ( ( ( cowlThing @ SV63 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV63 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(518,plain,
    ! [SV14: $i,SV64: $i] :
      ( ( ( cowlThing @ SV64 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV64 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[502]) ).

thf(519,plain,
    ! [SV14: $i,SV68: $i] :
      ( ( ( ~ ( cowlThing @ SV68 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV68 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[503]) ).

thf(520,plain,
    ! [SV61: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV61 )
        = $false )
      | ( ( cowlThing @ SV61 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(521,plain,
    ! [SV14: $i,SV65: $i] :
      ( ( ( cowlThing @ SV65 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV65 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(522,plain,
    ! [SV14: $i,SV66: $i] :
      ( ( ( cowlThing @ SV66 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV66 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(523,plain,
    ! [SV14: $i,SV69: $i] :
      ( ( ( ~ ( cowlThing @ SV69 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV69 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[507]) ).

thf(524,plain,
    ! [SV14: $i,SV67: $i] :
      ( ( ( cowlThing @ SV67 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV67 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(525,plain,
    ! [SV14: $i,SV70: $i] :
      ( ( ( ~ ( cowlThing @ SV70 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV70 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[509]) ).

thf(526,plain,
    ! [SV14: $i,SV71: $i] :
      ( ( ( ~ ( cowlThing @ SV71 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV71 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[510]) ).

thf(527,plain,
    ! [SV14: $i,SV73: $i] :
      ( ( ( ~ ( cowlThing @ SV73 )
          | ~ ( rr @ SV14 @ SV73 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(528,plain,
    ! [SV57: $i,SV14: $i,SV72: $i] :
      ( ( ( ~ ( cowlThing @ SV72 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV72 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV57 )
        = $false )
      | ( ( rr @ SV14 @ SV57 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[512]) ).

thf(529,plain,
    ! [SV58: $i,SV14: $i,SV74: $i] :
      ( ( ( ~ ( cowlThing @ SV74 )
          | ~ ( rp @ SV14 @ SV74 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV58 )
        = $false )
      | ( ( rr @ SV14 @ SV58 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(530,plain,
    ! [SV59: $i,SV14: $i,SV75: $i] :
      ( ( ( ~ ( cowlThing @ SV75 )
          | ~ ( rp @ SV14 @ SV75 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV59 )
        = $false )
      | ( ( rr @ SV14 @ SV59 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[514]) ).

thf(531,plain,
    ! [SV62: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV62 )
        = $false )
      | ( ( cowlThing @ SV62 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(532,plain,
    ! [SV60: $i,SV14: $i,SV76: $i] :
      ( ( ( ~ ( cowlThing @ SV76 )
          | ~ ( rp @ SV14 @ SV76 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV60 )
        = $false )
      | ( ( rr @ SV14 @ SV60 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[516]) ).

thf(533,plain,
    ! [SV63: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV63 )
        = $false )
      | ( ( cowlThing @ SV63 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[517]) ).

thf(534,plain,
    ! [SV64: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV64 )
        = $false )
      | ( ( cowlThing @ SV64 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(535,plain,
    ! [SV14: $i,SV68: $i] :
      ( ( ( cowlThing @ SV68 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV68 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(536,plain,
    ! [SV61: $i,SV14: $i,SV77: $i] :
      ( ( ( ~ ( cowlThing @ SV77 )
          | ~ ( rp @ SV14 @ SV77 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV61 )
        = $false )
      | ( ( rr @ SV14 @ SV61 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(537,plain,
    ! [SV65: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV65 )
        = $false )
      | ( ( cowlThing @ SV65 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(538,plain,
    ! [SV66: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV66 )
        = $false )
      | ( ( cowlThing @ SV66 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(539,plain,
    ! [SV14: $i,SV69: $i] :
      ( ( ( cowlThing @ SV69 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV69 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(540,plain,
    ! [SV67: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV67 )
        = $false )
      | ( ( cowlThing @ SV67 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[524]) ).

thf(541,plain,
    ! [SV14: $i,SV70: $i] :
      ( ( ( cowlThing @ SV70 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV70 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(542,plain,
    ! [SV14: $i,SV71: $i] :
      ( ( ( cowlThing @ SV71 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV71 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(543,plain,
    ! [SV14: $i,SV73: $i] :
      ( ( ( ~ ( cowlThing @ SV73 ) )
        = $true )
      | ( ( ~ ( rr @ SV14 @ SV73 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[527]) ).

thf(544,plain,
    ! [SV57: $i,SV14: $i,SV72: $i] :
      ( ( ( cowlThing @ SV72 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV72 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV57 )
        = $false )
      | ( ( rr @ SV14 @ SV57 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[528]) ).

thf(545,plain,
    ! [SV58: $i,SV14: $i,SV74: $i] :
      ( ( ( ~ ( cowlThing @ SV74 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV74 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV58 )
        = $false )
      | ( ( rr @ SV14 @ SV58 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[529]) ).

thf(546,plain,
    ! [SV59: $i,SV14: $i,SV75: $i] :
      ( ( ( ~ ( cowlThing @ SV75 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV75 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV59 )
        = $false )
      | ( ( rr @ SV14 @ SV59 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[530]) ).

thf(547,plain,
    ! [SV62: $i,SV14: $i,SV78: $i] :
      ( ( ( ~ ( cowlThing @ SV78 )
          | ~ ( rp @ SV14 @ SV78 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV62 )
        = $false )
      | ( ( rr @ SV14 @ SV62 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(548,plain,
    ! [SV60: $i,SV14: $i,SV76: $i] :
      ( ( ( ~ ( cowlThing @ SV76 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV76 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV60 )
        = $false )
      | ( ( rr @ SV14 @ SV60 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(549,plain,
    ! [SV63: $i,SV14: $i,SV79: $i] :
      ( ( ( ~ ( cowlThing @ SV79 )
          | ~ ( rp @ SV14 @ SV79 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV63 )
        = $false )
      | ( ( rr @ SV14 @ SV63 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(550,plain,
    ! [SV64: $i,SV14: $i,SV80: $i] :
      ( ( ( ~ ( cowlThing @ SV80 )
          | ~ ( rp @ SV14 @ SV80 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV64 )
        = $false )
      | ( ( rr @ SV14 @ SV64 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[534]) ).

thf(551,plain,
    ! [SV68: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV68 )
        = $false )
      | ( ( cowlThing @ SV68 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(552,plain,
    ! [SV61: $i,SV14: $i,SV77: $i] :
      ( ( ( ~ ( cowlThing @ SV77 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV77 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV61 )
        = $false )
      | ( ( rr @ SV14 @ SV61 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[536]) ).

thf(553,plain,
    ! [SV65: $i,SV14: $i,SV81: $i] :
      ( ( ( ~ ( cowlThing @ SV81 )
          | ~ ( rp @ SV14 @ SV81 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV65 )
        = $false )
      | ( ( rr @ SV14 @ SV65 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[537]) ).

thf(554,plain,
    ! [SV66: $i,SV14: $i,SV82: $i] :
      ( ( ( ~ ( cowlThing @ SV82 )
          | ~ ( rp @ SV14 @ SV82 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV66 )
        = $false )
      | ( ( rr @ SV14 @ SV66 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[538]) ).

thf(555,plain,
    ! [SV69: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV69 )
        = $false )
      | ( ( cowlThing @ SV69 )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(556,plain,
    ! [SV67: $i,SV14: $i,SV83: $i] :
      ( ( ( ~ ( cowlThing @ SV83 )
          | ~ ( rp @ SV14 @ SV83 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV67 )
        = $false )
      | ( ( rr @ SV14 @ SV67 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[540]) ).

thf(557,plain,
    ! [SV70: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV70 )
        = $false )
      | ( ( cowlThing @ SV70 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(558,plain,
    ! [SV71: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV71 )
        = $false )
      | ( ( cowlThing @ SV71 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[542]) ).

thf(559,plain,
    ! [SV14: $i,SV73: $i] :
      ( ( ( cowlThing @ SV73 )
        = $false )
      | ( ( ~ ( rr @ SV14 @ SV73 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[543]) ).

thf(560,plain,
    ! [SV57: $i,SV72: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV72 )
        = $false )
      | ( ( cowlThing @ SV72 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV57 )
        = $false )
      | ( ( rr @ SV14 @ SV57 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[544]) ).

thf(561,plain,
    ! [SV58: $i,SV14: $i,SV74: $i] :
      ( ( ( cowlThing @ SV74 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV74 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV58 )
        = $false )
      | ( ( rr @ SV14 @ SV58 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(562,plain,
    ! [SV59: $i,SV14: $i,SV75: $i] :
      ( ( ( cowlThing @ SV75 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV75 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV59 )
        = $false )
      | ( ( rr @ SV14 @ SV59 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(563,plain,
    ! [SV62: $i,SV14: $i,SV78: $i] :
      ( ( ( ~ ( cowlThing @ SV78 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV78 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV62 )
        = $false )
      | ( ( rr @ SV14 @ SV62 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(564,plain,
    ! [SV60: $i,SV14: $i,SV76: $i] :
      ( ( ( cowlThing @ SV76 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV76 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV60 )
        = $false )
      | ( ( rr @ SV14 @ SV60 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[548]) ).

thf(565,plain,
    ! [SV63: $i,SV14: $i,SV79: $i] :
      ( ( ( ~ ( cowlThing @ SV79 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV79 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV63 )
        = $false )
      | ( ( rr @ SV14 @ SV63 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[549]) ).

thf(566,plain,
    ! [SV64: $i,SV14: $i,SV80: $i] :
      ( ( ( ~ ( cowlThing @ SV80 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV80 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV64 )
        = $false )
      | ( ( rr @ SV14 @ SV64 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[550]) ).

thf(567,plain,
    ! [SV68: $i,SV14: $i,SV84: $i] :
      ( ( ( ~ ( cowlThing @ SV84 )
          | ~ ( rp @ SV14 @ SV84 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV68 )
        = $false )
      | ( ( rr @ SV14 @ SV68 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[551]) ).

thf(568,plain,
    ! [SV61: $i,SV14: $i,SV77: $i] :
      ( ( ( cowlThing @ SV77 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV77 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV61 )
        = $false )
      | ( ( rr @ SV14 @ SV61 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(569,plain,
    ! [SV65: $i,SV14: $i,SV81: $i] :
      ( ( ( ~ ( cowlThing @ SV81 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV81 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV65 )
        = $false )
      | ( ( rr @ SV14 @ SV65 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[553]) ).

thf(570,plain,
    ! [SV66: $i,SV14: $i,SV82: $i] :
      ( ( ( ~ ( cowlThing @ SV82 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV82 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV66 )
        = $false )
      | ( ( rr @ SV14 @ SV66 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[554]) ).

thf(571,plain,
    ! [SV69: $i,SV14: $i,SV85: $i] :
      ( ( ( ~ ( cowlThing @ SV85 )
          | ~ ( rp @ SV14 @ SV85 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV69 )
        = $false )
      | ( ( rr @ SV14 @ SV69 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(572,plain,
    ! [SV67: $i,SV14: $i,SV83: $i] :
      ( ( ( ~ ( cowlThing @ SV83 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV83 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV67 )
        = $false )
      | ( ( rr @ SV14 @ SV67 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[556]) ).

thf(573,plain,
    ! [SV70: $i,SV14: $i,SV86: $i] :
      ( ( ( ~ ( cowlThing @ SV86 )
          | ~ ( rp @ SV14 @ SV86 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV70 )
        = $false )
      | ( ( rr @ SV14 @ SV70 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(574,plain,
    ! [SV71: $i,SV14: $i,SV87: $i] :
      ( ( ( ~ ( cowlThing @ SV87 )
          | ~ ( rp @ SV14 @ SV87 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV71 )
        = $false )
      | ( ( rr @ SV14 @ SV71 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[558]) ).

thf(575,plain,
    ! [SV73: $i,SV14: $i] :
      ( ( ( rr @ SV14 @ SV73 )
        = $false )
      | ( ( cowlThing @ SV73 )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( cowlThing @ SY47 )
              | ~ ( rp @ SV14 @ SY47 ) ) )
        = $true )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(576,plain,
    ! [SV58: $i,SV74: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV74 )
        = $false )
      | ( ( cowlThing @ SV74 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV58 )
        = $false )
      | ( ( rr @ SV14 @ SV58 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(577,plain,
    ! [SV59: $i,SV75: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV75 )
        = $false )
      | ( ( cowlThing @ SV75 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV59 )
        = $false )
      | ( ( rr @ SV14 @ SV59 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[562]) ).

thf(578,plain,
    ! [SV62: $i,SV14: $i,SV78: $i] :
      ( ( ( cowlThing @ SV78 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV78 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV62 )
        = $false )
      | ( ( rr @ SV14 @ SV62 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(579,plain,
    ! [SV60: $i,SV76: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV76 )
        = $false )
      | ( ( cowlThing @ SV76 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV60 )
        = $false )
      | ( ( rr @ SV14 @ SV60 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[564]) ).

thf(580,plain,
    ! [SV63: $i,SV14: $i,SV79: $i] :
      ( ( ( cowlThing @ SV79 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV79 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV63 )
        = $false )
      | ( ( rr @ SV14 @ SV63 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(581,plain,
    ! [SV64: $i,SV14: $i,SV80: $i] :
      ( ( ( cowlThing @ SV80 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV80 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV64 )
        = $false )
      | ( ( rr @ SV14 @ SV64 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[566]) ).

thf(582,plain,
    ! [SV68: $i,SV14: $i,SV84: $i] :
      ( ( ( ~ ( cowlThing @ SV84 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV84 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV68 )
        = $false )
      | ( ( rr @ SV14 @ SV68 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[567]) ).

thf(583,plain,
    ! [SV61: $i,SV77: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV77 )
        = $false )
      | ( ( cowlThing @ SV77 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV61 )
        = $false )
      | ( ( rr @ SV14 @ SV61 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[568]) ).

thf(584,plain,
    ! [SV65: $i,SV14: $i,SV81: $i] :
      ( ( ( cowlThing @ SV81 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV81 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV65 )
        = $false )
      | ( ( rr @ SV14 @ SV65 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(585,plain,
    ! [SV66: $i,SV14: $i,SV82: $i] :
      ( ( ( cowlThing @ SV82 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV82 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV66 )
        = $false )
      | ( ( rr @ SV14 @ SV66 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(586,plain,
    ! [SV69: $i,SV14: $i,SV85: $i] :
      ( ( ( ~ ( cowlThing @ SV85 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV85 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV69 )
        = $false )
      | ( ( rr @ SV14 @ SV69 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[571]) ).

thf(587,plain,
    ! [SV67: $i,SV14: $i,SV83: $i] :
      ( ( ( cowlThing @ SV83 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV83 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV67 )
        = $false )
      | ( ( rr @ SV14 @ SV67 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[572]) ).

thf(588,plain,
    ! [SV70: $i,SV14: $i,SV86: $i] :
      ( ( ( ~ ( cowlThing @ SV86 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV86 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV70 )
        = $false )
      | ( ( rr @ SV14 @ SV70 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[573]) ).

thf(589,plain,
    ! [SV71: $i,SV14: $i,SV87: $i] :
      ( ( ( ~ ( cowlThing @ SV87 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV87 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV71 )
        = $false )
      | ( ( rr @ SV14 @ SV71 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[574]) ).

thf(590,plain,
    ! [SV73: $i,SV14: $i,SV88: $i] :
      ( ( ( ~ ( cowlThing @ SV88 )
          | ~ ( rp @ SV14 @ SV88 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV73 )
        = $false )
      | ( ( rr @ SV14 @ SV73 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[575]) ).

thf(591,plain,
    ! [SV62: $i,SV78: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV78 )
        = $false )
      | ( ( cowlThing @ SV78 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV62 )
        = $false )
      | ( ( rr @ SV14 @ SV62 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[578]) ).

thf(592,plain,
    ! [SV63: $i,SV79: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV79 )
        = $false )
      | ( ( cowlThing @ SV79 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV63 )
        = $false )
      | ( ( rr @ SV14 @ SV63 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(593,plain,
    ! [SV64: $i,SV80: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV80 )
        = $false )
      | ( ( cowlThing @ SV80 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV64 )
        = $false )
      | ( ( rr @ SV14 @ SV64 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(594,plain,
    ! [SV68: $i,SV14: $i,SV84: $i] :
      ( ( ( cowlThing @ SV84 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV84 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV68 )
        = $false )
      | ( ( rr @ SV14 @ SV68 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(595,plain,
    ! [SV65: $i,SV81: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV81 )
        = $false )
      | ( ( cowlThing @ SV81 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV65 )
        = $false )
      | ( ( rr @ SV14 @ SV65 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(596,plain,
    ! [SV66: $i,SV82: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV82 )
        = $false )
      | ( ( cowlThing @ SV82 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV66 )
        = $false )
      | ( ( rr @ SV14 @ SV66 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(597,plain,
    ! [SV69: $i,SV14: $i,SV85: $i] :
      ( ( ( cowlThing @ SV85 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV85 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV69 )
        = $false )
      | ( ( rr @ SV14 @ SV69 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(598,plain,
    ! [SV67: $i,SV83: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV83 )
        = $false )
      | ( ( cowlThing @ SV83 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV67 )
        = $false )
      | ( ( rr @ SV14 @ SV67 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[587]) ).

thf(599,plain,
    ! [SV70: $i,SV14: $i,SV86: $i] :
      ( ( ( cowlThing @ SV86 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV86 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV70 )
        = $false )
      | ( ( rr @ SV14 @ SV70 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[588]) ).

thf(600,plain,
    ! [SV71: $i,SV14: $i,SV87: $i] :
      ( ( ( cowlThing @ SV87 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV87 ) )
        = $true )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV71 )
        = $false )
      | ( ( rr @ SV14 @ SV71 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(601,plain,
    ! [SV73: $i,SV14: $i,SV88: $i] :
      ( ( ( ~ ( cowlThing @ SV88 ) )
        = $true )
      | ( ( ~ ( rp @ SV14 @ SV88 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV73 )
        = $false )
      | ( ( rr @ SV14 @ SV73 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[590]) ).

thf(602,plain,
    ! [SV68: $i,SV84: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV84 )
        = $false )
      | ( ( cowlThing @ SV84 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV68 )
        = $false )
      | ( ( rr @ SV14 @ SV68 )
        = $false )
      | ( ( rp @ SV14 @ ( sK11_Y @ SV14 ) )
        = $true )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(603,plain,
    ! [SV69: $i,SV85: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV85 )
        = $false )
      | ( ( cowlThing @ SV85 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( rr @ SV14 @ ( sK10_Y @ SV14 ) )
        = $true )
      | ( ( cowlThing @ SV69 )
        = $false )
      | ( ( rr @ SV14 @ SV69 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(604,plain,
    ! [SV70: $i,SV86: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV86 )
        = $false )
      | ( ( cowlThing @ SV86 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( rp @ SV14 @ ( sK9_Y @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV70 )
        = $false )
      | ( ( rr @ SV14 @ SV70 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(605,plain,
    ! [SV71: $i,SV87: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV87 )
        = $false )
      | ( ( cowlThing @ SV87 )
        = $false )
      | ( ( rp @ SV14 @ ( sK8_Y @ SV14 ) )
        = $true )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV71 )
        = $false )
      | ( ( rr @ SV14 @ SV71 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(606,plain,
    ! [SV73: $i,SV14: $i,SV88: $i] :
      ( ( ( cowlThing @ SV88 )
        = $false )
      | ( ( ~ ( rp @ SV14 @ SV88 ) )
        = $true )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV73 )
        = $false )
      | ( ( rr @ SV14 @ SV73 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[601]) ).

thf(607,plain,
    ! [SV73: $i,SV88: $i,SV14: $i] :
      ( ( ( rp @ SV14 @ SV88 )
        = $false )
      | ( ( cowlThing @ SV88 )
        = $false )
      | ( ( ca_Vx5 @ ( sK8_Y @ SV14 ) )
        = $false )
      | ( ( ca_Vx3 @ ( sK9_Y @ SV14 ) )
        = $false )
      | ( ( cc @ ( sK10_Y @ SV14 ) )
        = $false )
      | ( ( cowlThing @ SV73 )
        = $false )
      | ( ( rr @ SV14 @ SV73 )
        = $false )
      | ( ( ca_Vx4 @ ( sK11_Y @ SV14 ) )
        = $false )
      | ( ( ca_Ax2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(608,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[75,607,605,604,603,602,598,596,595,593,592,591,583,579,577,576,560,479,478,428,397,396,371,370,346,332,331,330,329,328,327,326,325,324,318,317,316,315,314,313,310,307,304,293,279,276,275,274,270,269,268,267,261,253,248,247,232,220,216,185,141,94]) ).

thf(609,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[608]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.10  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Tue Jun  7 17:36:05 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.31  
% 0.15/0.31   No.of.Axioms: 18
% 0.15/0.31  
% 0.15/0.31   Length.of.Defs: 0
% 0.15/0.31  
% 0.15/0.31   Contains.Choice.Funs: false
% 0.15/0.32  .
% 0.15/0.32  (rf:0,axioms:18,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:20,loop_count:0,foatp_calls:0,translation:fof_full)..................................
% 0.15/0.49  
% 0.15/0.49  ********************************
% 0.15/0.49  *   All subproblems solved!    *
% 0.15/0.49  ********************************
% 0.15/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:608,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.45/0.66  
% 0.45/0.66  %**** Beginning of derivation protocol ****
% 0.45/0.66  % SZS output start CNFRefutation
% See solution above
% 0.45/0.66  
% 0.45/0.66  %**** End of derivation protocol ****
% 0.45/0.66  %**** no. of clauses in derivation: 609 ****
% 0.45/0.66  %**** clause counter: 608 ****
% 0.45/0.66  
% 0.45/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:608,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------