TSTP Solution File: KRS128+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : KRS128+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 : n017.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 03:14:46 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  280 ( 144 unt;  26 typ;   0 def)
%            Number of atoms       : 1696 ( 425 equ;   0 cnn)
%            Maximal formula atoms :    7 (   6 avg)
%            Number of connectives : 2539 ( 617   ~; 526   |;  42   &;1330   @)
%                                         (  18 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  29   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  26 usr;   3 con; 0-2 aty)
%            Number of variables   :  466 (   0   ^ 452   !;  14   ?; 466   :)

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

thf(tp_ca_Cx4,type,
    ca_Cx4: $i > $o ).

thf(tp_ca_Cx4xcomp,type,
    ca_Cx4xcomp: $i > $o ).

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

thf(tp_cd,type,
    cd: $i > $o ).

thf(tp_cdxcomp,type,
    cdxcomp: $i > $o ).

thf(tp_ce,type,
    ce: $i > $o ).

thf(tp_cexcomp,type,
    cexcomp: $i > $o ).

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

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

thf(tp_i2003_11_14_17_22_31584,type,
    i2003_11_14_17_22_31584: $i ).

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

thf(tp_ra_Px2,type,
    ra_Px2: $i > $i > $o ).

thf(tp_ra_Px4,type,
    ra_Px4: $i > $i > $o ).

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

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

thf(tp_sK2_Y0,type,
    sK2_Y0: $i > $i ).

thf(tp_sK3_Y0,type,
    sK3_Y0: $i > $i ).

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

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

thf(tp_sK6_Y0,type,
    sK6_Y0: $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_22_31584,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

thf(2,axiom,
    ! [X: $i] :
      ( ( ca_Cx4xcomp @ X )
    <=> ( ( cd @ X )
        & ( cexcomp @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

thf(3,axiom,
    ! [X: $i] :
      ( ( ca_Cx4xcomp @ X )
    <=> ~ ? [Y: $i] : ( ra_Px4 @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

thf(4,axiom,
    ! [X: $i] :
      ( ( ca_Cx4 @ X )
    <=> ? [Y0: $i] : ( ra_Px4 @ X @ Y0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

thf(5,axiom,
    ! [X: $i] :
      ( ( cexcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

thf(6,axiom,
    ! [X: $i] :
      ( ( ce @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

thf(7,axiom,
    ! [X: $i] :
      ( ( cdxcomp @ X )
    <=> ~ ? [Y: $i] : ( ra_Px2 @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

thf(8,axiom,
    ! [X: $i] :
      ( ( cd @ X )
    <=> ? [Y0: $i] : ( ra_Px2 @ X @ Y0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

thf(9,axiom,
    ! [X: $i] :
      ( ( cc @ X )
     => ( cdxcomp @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

thf(10,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( rr @ X @ Y )
            & ( cexcomp @ Y ) )
        & ! [Y: $i] :
            ( ( rr @ X @ Y )
           => ( cd @ Y ) )
        & ! [Y: $i] :
            ( ( rr @ X @ Y )
           => ( ca_Cx4 @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(11,axiom,
    ! [X: $i] :
      ( ( xsd_string @ X )
    <=> ~ ( xsd_integer @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

thf(12,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
      & ~ ( cowlNothing @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

thf(13,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(14,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[13]) ).

thf(15,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[14]) ).

thf(16,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_22_31584 )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(17,plain,
    ( ( ! [X: $i] :
          ( ( ca_Cx4xcomp @ X )
        <=> ( ( cd @ X )
            & ( cexcomp @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(18,plain,
    ( ( ! [X: $i] :
          ( ( ca_Cx4xcomp @ X )
        <=> ~ ? [Y: $i] : ( ra_Px4 @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(19,plain,
    ( ( ! [X: $i] :
          ( ( ca_Cx4 @ X )
        <=> ? [Y0: $i] : ( ra_Px4 @ X @ Y0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(20,plain,
    ( ( ! [X: $i] :
          ( ( cexcomp @ X )
        <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(21,plain,
    ( ( ! [X: $i] :
          ( ( ce @ X )
        <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(22,plain,
    ( ( ! [X: $i] :
          ( ( cdxcomp @ X )
        <=> ~ ? [Y: $i] : ( ra_Px2 @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(23,plain,
    ( ( ! [X: $i] :
          ( ( cd @ X )
        <=> ? [Y0: $i] : ( ra_Px2 @ X @ Y0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(24,plain,
    ( ( ! [X: $i] :
          ( ( cc @ X )
         => ( cdxcomp @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(25,plain,
    ( ( ! [X: $i] :
          ( ( cUnsatisfiable @ X )
        <=> ( ? [Y: $i] :
                ( ( rr @ X @ Y )
                & ( cexcomp @ Y ) )
            & ! [Y: $i] :
                ( ( rr @ X @ Y )
               => ( cd @ Y ) )
            & ! [Y: $i] :
                ( ( rr @ X @ Y )
               => ( ca_Cx4 @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(26,plain,
    ( ( ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(27,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(28,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[15]) ).

thf(29,plain,
    ( ( ! [X: $i] :
          ( ~ ( cd @ X )
          | ~ ( cexcomp @ X )
          | ( ca_Cx4xcomp @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Cx4xcomp @ X )
          | ( cd @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Cx4xcomp @ X )
          | ( cexcomp @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[17]) ).

thf(30,plain,
    ( ( ! [X: $i] :
          ( ~ ( ca_Cx4xcomp @ X )
          | ! [Y: $i] :
              ~ ( ra_Px4 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px4 @ X @ ( sK1_Y @ X ) )
          | ( ca_Cx4xcomp @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(31,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px4 @ X @ Y0 )
          | ( ca_Cx4 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Cx4 @ X )
          | ( ra_Px4 @ X @ ( sK2_Y0 @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(32,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px1 @ X @ Y0 )
          | ( cexcomp @ X ) )
      & ! [X: $i] :
          ( ~ ( cexcomp @ X )
          | ( ra_Px1 @ X @ ( sK3_Y0 @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(33,plain,
    ( ( ! [X: $i] :
          ( ~ ( ce @ X )
          | ! [Y: $i] :
              ~ ( ra_Px1 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px1 @ X @ ( sK4_Y @ X ) )
          | ( ce @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(34,plain,
    ( ( ! [X: $i] :
          ( ~ ( cdxcomp @ X )
          | ! [Y: $i] :
              ~ ( ra_Px2 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px2 @ X @ ( sK5_Y @ X ) )
          | ( cdxcomp @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(35,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px2 @ X @ Y0 )
          | ( cd @ X ) )
      & ! [X: $i] :
          ( ~ ( cd @ X )
          | ( ra_Px2 @ X @ ( sK6_Y0 @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[23]) ).

thf(36,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc @ X )
          | ( cdxcomp @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[24]) ).

thf(37,plain,
    ( ( ! [X: $i] :
          ( ( ( rr @ X @ ( sK9_Y @ X ) )
            & ~ ( ca_Cx4 @ ( sK9_Y @ X ) ) )
          | ( ( rr @ X @ ( sK8_Y @ X ) )
            & ~ ( cd @ ( sK8_Y @ X ) ) )
          | ! [Y: $i] :
              ( ~ ( cexcomp @ Y )
              | ~ ( rr @ X @ Y ) )
          | ( cUnsatisfiable @ X ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( ca_Cx4 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( cd @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ( cexcomp @ ( sK7_Y @ X ) )
            & ( rr @ X @ ( sK7_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(38,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[26]) ).

thf(39,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(40,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(41,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(42,plain,
    ( ( ! [X: $i] :
          ( ( ( rr @ X @ ( sK9_Y @ X ) )
            & ~ ( ca_Cx4 @ ( sK9_Y @ X ) ) )
          | ( ( rr @ X @ ( sK8_Y @ X ) )
            & ~ ( cd @ ( sK8_Y @ X ) ) )
          | ! [Y: $i] :
              ( ~ ( cexcomp @ Y )
              | ~ ( rr @ X @ Y ) )
          | ( cUnsatisfiable @ X ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( ca_Cx4 @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ! [Y: $i] :
              ( ~ ( rr @ X @ Y )
              | ( cd @ Y ) ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ( cexcomp @ ( sK7_Y @ X ) )
            & ( rr @ X @ ( sK7_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(43,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc @ X )
          | ( cdxcomp @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(44,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px2 @ X @ Y0 )
          | ( cd @ X ) )
      & ! [X: $i] :
          ( ~ ( cd @ X )
          | ( ra_Px2 @ X @ ( sK6_Y0 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(45,plain,
    ( ( ! [X: $i] :
          ( ~ ( cdxcomp @ X )
          | ! [Y: $i] :
              ~ ( ra_Px2 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px2 @ X @ ( sK5_Y @ X ) )
          | ( cdxcomp @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(46,plain,
    ( ( ! [X: $i] :
          ( ~ ( ce @ X )
          | ! [Y: $i] :
              ~ ( ra_Px1 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px1 @ X @ ( sK4_Y @ X ) )
          | ( ce @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(47,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px1 @ X @ Y0 )
          | ( cexcomp @ X ) )
      & ! [X: $i] :
          ( ~ ( cexcomp @ X )
          | ( ra_Px1 @ X @ ( sK3_Y0 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(48,plain,
    ( ( ! [X: $i] :
          ( ! [Y0: $i] :
              ~ ( ra_Px4 @ X @ Y0 )
          | ( ca_Cx4 @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Cx4 @ X )
          | ( ra_Px4 @ X @ ( sK2_Y0 @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(49,plain,
    ( ( ! [X: $i] :
          ( ~ ( ca_Cx4xcomp @ X )
          | ! [Y: $i] :
              ~ ( ra_Px4 @ X @ Y ) )
      & ! [X: $i] :
          ( ( ra_Px4 @ X @ ( sK1_Y @ X ) )
          | ( ca_Cx4xcomp @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(50,plain,
    ( ( ! [X: $i] :
          ( ~ ( cd @ X )
          | ~ ( cexcomp @ X )
          | ( ca_Cx4xcomp @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Cx4xcomp @ X )
          | ( cd @ X ) )
      & ! [X: $i] :
          ( ~ ( ca_Cx4xcomp @ X )
          | ( cexcomp @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(51,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_22_31584 )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(52,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(53,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ce @ SX0 )
                | ! [SX1: $i] :
                    ~ ( ra_Px1 @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i] :
                ( ( ra_Px1 @ SX0 @ ( sK4_Y @ SX0 ) )
                | ( ce @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(54,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( rr @ SX0 @ ( sK9_Y @ SX0 ) )
                    | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SX0 ) ) )
                | ~ ( ~ ( rr @ SX0 @ ( sK8_Y @ SX0 ) )
                    | ~ ~ ( cd @ ( sK8_Y @ SX0 ) ) )
                | ! [SX1: $i] :
                    ( ~ ( cexcomp @ SX1 )
                    | ~ ( rr @ SX0 @ SX1 ) )
                | ( cUnsatisfiable @ SX0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( cUnsatisfiable @ SX0 )
                      | ! [SX1: $i] :
                          ( ~ ( rr @ SX0 @ SX1 )
                          | ( ca_Cx4 @ SX1 ) ) )
                | ~ ~ ( ~ ! [SX0: $i] :
                            ( ~ ( cUnsatisfiable @ SX0 )
                            | ! [SX1: $i] :
                                ( ~ ( rr @ SX0 @ SX1 )
                                | ( cd @ SX1 ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( cUnsatisfiable @ SX0 )
                            | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                                | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(55,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(56,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( ra_Px2 @ SX0 @ SX1 )
                | ( cd @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( cd @ SX0 )
                | ( ra_Px2 @ SX0 @ ( sK6_Y0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(57,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( ra_Px1 @ SX0 @ SX1 )
                | ( cexcomp @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( cexcomp @ SX0 )
                | ( ra_Px1 @ SX0 @ ( sK3_Y0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(58,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( cdxcomp @ SX0 )
                | ! [SX1: $i] :
                    ~ ( ra_Px2 @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i] :
                ( ( ra_Px2 @ SX0 @ ( sK5_Y @ SX0 ) )
                | ( cdxcomp @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(59,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( ra_Px4 @ SX0 @ SX1 )
                | ( ca_Cx4 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Cx4 @ SX0 )
                | ( ra_Px4 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(60,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ca_Cx4xcomp @ SX0 )
                | ! [SX1: $i] :
                    ~ ( ra_Px4 @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i] :
                ( ( ra_Px4 @ SX0 @ ( sK1_Y @ SX0 ) )
                | ( ca_Cx4xcomp @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(61,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(62,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( cd @ SX0 )
                | ~ ( cexcomp @ SX0 )
                | ( ca_Cx4xcomp @ SX0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( ca_Cx4xcomp @ SX0 )
                      | ( cd @ SX0 ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( ca_Cx4xcomp @ SX0 )
                      | ( cexcomp @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(63,plain,
    ! [SV1: $i] :
      ( ( ~ ( cc @ SV1 )
        | ( cdxcomp @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(64,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(65,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ce @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i] :
            ( ( ra_Px1 @ SX0 @ ( sK4_Y @ SX0 ) )
            | ( ce @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(66,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rr @ SX0 @ ( sK9_Y @ SX0 ) )
                | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SX0 ) ) )
            | ~ ( ~ ( rr @ SX0 @ ( sK8_Y @ SX0 ) )
                | ~ ~ ( cd @ ( sK8_Y @ SX0 ) ) )
            | ! [SX1: $i] :
                ( ~ ( cexcomp @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ( cUnsatisfiable @ SX0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( ca_Cx4 @ SX1 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( cUnsatisfiable @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cd @ SX1 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( cUnsatisfiable @ SX0 )
                        | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                            | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(67,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(68,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px2 @ SX0 @ SX1 )
            | ( cd @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( cd @ SX0 )
            | ( ra_Px2 @ SX0 @ ( sK6_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(69,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 )
            | ( cexcomp @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( cexcomp @ SX0 )
            | ( ra_Px1 @ SX0 @ ( sK3_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(70,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cdxcomp @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px2 @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i] :
            ( ( ra_Px2 @ SX0 @ ( sK5_Y @ SX0 ) )
            | ( cdxcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(71,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px4 @ SX0 @ SX1 )
            | ( ca_Cx4 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4 @ SX0 )
            | ( ra_Px4 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(72,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4xcomp @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px4 @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i] :
            ( ( ra_Px4 @ SX0 @ ( sK1_Y @ SX0 ) )
            | ( ca_Cx4xcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(73,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(74,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cd @ SX0 )
            | ~ ( cexcomp @ SX0 )
            | ( ca_Cx4xcomp @ SX0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Cx4xcomp @ SX0 )
                  | ( cd @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Cx4xcomp @ SX0 )
                  | ( cexcomp @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(75,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( cc @ SV1 ) )
        = $true )
      | ( ( cdxcomp @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[63]) ).

thf(76,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ce @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(77,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ra_Px1 @ SX0 @ ( sK4_Y @ SX0 ) )
            | ( ce @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(78,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rr @ SX0 @ ( sK9_Y @ SX0 ) )
                | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SX0 ) ) )
            | ~ ( ~ ( rr @ SX0 @ ( sK8_Y @ SX0 ) )
                | ~ ~ ( cd @ ( sK8_Y @ SX0 ) ) )
            | ! [SX1: $i] :
                ( ~ ( cexcomp @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ( cUnsatisfiable @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(79,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( ca_Cx4 @ SX1 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( cUnsatisfiable @ SX0 )
                        | ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cd @ SX1 ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( cUnsatisfiable @ SX0 )
                        | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                            | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(80,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(81,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(82,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px2 @ SX0 @ SX1 )
            | ( cd @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[68]) ).

thf(83,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cd @ SX0 )
            | ( ra_Px2 @ SX0 @ ( sK6_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[68]) ).

thf(84,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px1 @ SX0 @ SX1 )
            | ( cexcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[69]) ).

thf(85,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cexcomp @ SX0 )
            | ( ra_Px1 @ SX0 @ ( sK3_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[69]) ).

thf(86,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cdxcomp @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px2 @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[70]) ).

thf(87,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ra_Px2 @ SX0 @ ( sK5_Y @ SX0 ) )
            | ( cdxcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[70]) ).

thf(88,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( ra_Px4 @ SX0 @ SX1 )
            | ( ca_Cx4 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[71]) ).

thf(89,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4 @ SX0 )
            | ( ra_Px4 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[71]) ).

thf(90,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4xcomp @ SX0 )
            | ! [SX1: $i] :
                ~ ( ra_Px4 @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(91,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( ra_Px4 @ SX0 @ ( sK1_Y @ SX0 ) )
            | ( ca_Cx4xcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(92,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(93,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(94,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cd @ SX0 )
            | ~ ( cexcomp @ SX0 )
            | ( ca_Cx4xcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(95,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( ca_Cx4xcomp @ SX0 )
                  | ( cd @ SX0 ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( ca_Cx4xcomp @ SX0 )
                  | ( cexcomp @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(96,plain,
    ! [SV1: $i] :
      ( ( ( cc @ SV1 )
        = $false )
      | ( ( cdxcomp @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(97,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ce @ SX0 )
          | ! [SX1: $i] :
              ~ ( ra_Px1 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[76]) ).

thf(98,plain,
    ( ( ! [SX0: $i] :
          ( ( ra_Px1 @ SX0 @ ( sK4_Y @ SX0 ) )
          | ( ce @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[77]) ).

thf(99,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( rr @ SX0 @ ( sK9_Y @ SX0 ) )
              | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SX0 ) ) )
          | ~ ( ~ ( rr @ SX0 @ ( sK8_Y @ SX0 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SX0 ) ) )
          | ! [SX1: $i] :
              ( ~ ( cexcomp @ SX1 )
              | ~ ( rr @ SX0 @ SX1 ) )
          | ( cUnsatisfiable @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[78]) ).

thf(100,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( cUnsatisfiable @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rr @ SX0 @ SX1 )
                    | ( ca_Cx4 @ SX1 ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( cUnsatisfiable @ SX0 )
                      | ! [SX1: $i] :
                          ( ~ ( rr @ SX0 @ SX1 )
                          | ( cd @ SX1 ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( cUnsatisfiable @ SX0 )
                      | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                          | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[79]) ).

thf(101,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[80]) ).

thf(102,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[81]) ).

thf(103,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( ra_Px2 @ SX0 @ SX1 )
          | ( cd @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(104,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cd @ SX0 )
          | ( ra_Px2 @ SX0 @ ( sK6_Y0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[83]) ).

thf(105,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( ra_Px1 @ SX0 @ SX1 )
          | ( cexcomp @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(106,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cexcomp @ SX0 )
          | ( ra_Px1 @ SX0 @ ( sK3_Y0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(107,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cdxcomp @ SX0 )
          | ! [SX1: $i] :
              ~ ( ra_Px2 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[86]) ).

thf(108,plain,
    ( ( ! [SX0: $i] :
          ( ( ra_Px2 @ SX0 @ ( sK5_Y @ SX0 ) )
          | ( cdxcomp @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[87]) ).

thf(109,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( ra_Px4 @ SX0 @ SX1 )
          | ( ca_Cx4 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[88]) ).

thf(110,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Cx4 @ SX0 )
          | ( ra_Px4 @ SX0 @ ( sK2_Y0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[89]) ).

thf(111,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Cx4xcomp @ SX0 )
          | ! [SX1: $i] :
              ~ ( ra_Px4 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[90]) ).

thf(112,plain,
    ( ( ! [SX0: $i] :
          ( ( ra_Px4 @ SX0 @ ( sK1_Y @ SX0 ) )
          | ( ca_Cx4xcomp @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[91]) ).

thf(113,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[92]) ).

thf(114,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[93]) ).

thf(115,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cd @ SX0 )
          | ~ ( cexcomp @ SX0 )
          | ( ca_Cx4xcomp @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[94]) ).

thf(116,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ca_Cx4xcomp @ SX0 )
                | ( cd @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ca_Cx4xcomp @ SX0 )
                | ( cexcomp @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(117,plain,
    ! [SV2: $i] :
      ( ( ~ ( ce @ SV2 )
        | ! [SY20: $i] :
            ~ ( ra_Px1 @ SV2 @ SY20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(118,plain,
    ! [SV3: $i] :
      ( ( ( ra_Px1 @ SV3 @ ( sK4_Y @ SV3 ) )
        | ( ce @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(119,plain,
    ! [SV4: $i] :
      ( ( ~ ( ~ ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
            | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SV4 ) ) )
        | ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
            | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
        | ! [SY21: $i] :
            ( ~ ( cexcomp @ SY21 )
            | ~ ( rr @ SV4 @ SY21 ) )
        | ( cUnsatisfiable @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(120,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( ca_Cx4 @ SX1 ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cd @ SX1 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                      | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(121,plain,
    ! [SV5: $i] :
      ( ( ~ ( xsd_string @ SV5 )
        | ~ ( xsd_integer @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[101]) ).

thf(122,plain,
    ! [SV6: $i] :
      ( ( ( xsd_integer @ SV6 )
        | ( xsd_string @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[102]) ).

thf(123,plain,
    ! [SV7: $i] :
      ( ( ! [SY22: $i] :
            ~ ( ra_Px2 @ SV7 @ SY22 )
        | ( cd @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[103]) ).

thf(124,plain,
    ! [SV8: $i] :
      ( ( ~ ( cd @ SV8 )
        | ( ra_Px2 @ SV8 @ ( sK6_Y0 @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[104]) ).

thf(125,plain,
    ! [SV9: $i] :
      ( ( ! [SY23: $i] :
            ~ ( ra_Px1 @ SV9 @ SY23 )
        | ( cexcomp @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[105]) ).

thf(126,plain,
    ! [SV10: $i] :
      ( ( ~ ( cexcomp @ SV10 )
        | ( ra_Px1 @ SV10 @ ( sK3_Y0 @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(127,plain,
    ! [SV11: $i] :
      ( ( ~ ( cdxcomp @ SV11 )
        | ! [SY24: $i] :
            ~ ( ra_Px2 @ SV11 @ SY24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[107]) ).

thf(128,plain,
    ! [SV12: $i] :
      ( ( ( ra_Px2 @ SV12 @ ( sK5_Y @ SV12 ) )
        | ( cdxcomp @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(129,plain,
    ! [SV13: $i] :
      ( ( ! [SY25: $i] :
            ~ ( ra_Px4 @ SV13 @ SY25 )
        | ( ca_Cx4 @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[109]) ).

thf(130,plain,
    ! [SV14: $i] :
      ( ( ~ ( ca_Cx4 @ SV14 )
        | ( ra_Px4 @ SV14 @ ( sK2_Y0 @ SV14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[110]) ).

thf(131,plain,
    ! [SV15: $i] :
      ( ( ~ ( ca_Cx4xcomp @ SV15 )
        | ! [SY26: $i] :
            ~ ( ra_Px4 @ SV15 @ SY26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[111]) ).

thf(132,plain,
    ! [SV16: $i] :
      ( ( ( ra_Px4 @ SV16 @ ( sK1_Y @ SV16 ) )
        | ( ca_Cx4xcomp @ SV16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[112]) ).

thf(133,plain,
    ! [SV17: $i] :
      ( ( cowlThing @ SV17 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[113]) ).

thf(134,plain,
    ! [SV18: $i] :
      ( ( ~ ( cowlNothing @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[114]) ).

thf(135,plain,
    ! [SV19: $i] :
      ( ( ~ ( cd @ SV19 )
        | ~ ( cexcomp @ SV19 )
        | ( ca_Cx4xcomp @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[115]) ).

thf(136,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4xcomp @ SX0 )
            | ( cd @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4xcomp @ SX0 )
            | ( cexcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[116]) ).

thf(137,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( ce @ SV2 ) )
        = $true )
      | ( ( ! [SY20: $i] :
              ~ ( ra_Px1 @ SV2 @ SY20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[117]) ).

thf(138,plain,
    ! [SV3: $i] :
      ( ( ( ra_Px1 @ SV3 @ ( sK4_Y @ SV3 ) )
        = $true )
      | ( ( ce @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[118]) ).

thf(139,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
              | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SV4 ) ) )
          | ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[119]) ).

thf(140,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( ca_Cx4 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[120]) ).

thf(141,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cd @ SX1 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                      | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[120]) ).

thf(142,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( xsd_string @ SV5 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[121]) ).

thf(143,plain,
    ! [SV6: $i] :
      ( ( ( xsd_integer @ SV6 )
        = $true )
      | ( ( xsd_string @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[122]) ).

thf(144,plain,
    ! [SV7: $i] :
      ( ( ( ! [SY22: $i] :
              ~ ( ra_Px2 @ SV7 @ SY22 ) )
        = $true )
      | ( ( cd @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[123]) ).

thf(145,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( cd @ SV8 ) )
        = $true )
      | ( ( ra_Px2 @ SV8 @ ( sK6_Y0 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(146,plain,
    ! [SV9: $i] :
      ( ( ( ! [SY23: $i] :
              ~ ( ra_Px1 @ SV9 @ SY23 ) )
        = $true )
      | ( ( cexcomp @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[125]) ).

thf(147,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( cexcomp @ SV10 ) )
        = $true )
      | ( ( ra_Px1 @ SV10 @ ( sK3_Y0 @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[126]) ).

thf(148,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( cdxcomp @ SV11 ) )
        = $true )
      | ( ( ! [SY24: $i] :
              ~ ( ra_Px2 @ SV11 @ SY24 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[127]) ).

thf(149,plain,
    ! [SV12: $i] :
      ( ( ( ra_Px2 @ SV12 @ ( sK5_Y @ SV12 ) )
        = $true )
      | ( ( cdxcomp @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[128]) ).

thf(150,plain,
    ! [SV13: $i] :
      ( ( ( ! [SY25: $i] :
              ~ ( ra_Px4 @ SV13 @ SY25 ) )
        = $true )
      | ( ( ca_Cx4 @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[129]) ).

thf(151,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ca_Cx4 @ SV14 ) )
        = $true )
      | ( ( ra_Px4 @ SV14 @ ( sK2_Y0 @ SV14 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[130]) ).

thf(152,plain,
    ! [SV15: $i] :
      ( ( ( ~ ( ca_Cx4xcomp @ SV15 ) )
        = $true )
      | ( ( ! [SY26: $i] :
              ~ ( ra_Px4 @ SV15 @ SY26 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[131]) ).

thf(153,plain,
    ! [SV16: $i] :
      ( ( ( ra_Px4 @ SV16 @ ( sK1_Y @ SV16 ) )
        = $true )
      | ( ( ca_Cx4xcomp @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[132]) ).

thf(154,plain,
    ! [SV18: $i] :
      ( ( cowlNothing @ SV18 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(155,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( cd @ SV19 )
          | ~ ( cexcomp @ SV19 ) )
        = $true )
      | ( ( ca_Cx4xcomp @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[135]) ).

thf(156,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4xcomp @ SX0 )
            | ( cd @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[136]) ).

thf(157,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ca_Cx4xcomp @ SX0 )
            | ( cexcomp @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[136]) ).

thf(158,plain,
    ! [SV2: $i] :
      ( ( ( ce @ SV2 )
        = $false )
      | ( ( ! [SY20: $i] :
              ~ ( ra_Px1 @ SV2 @ SY20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(159,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
              | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SV4 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[139]) ).

thf(160,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cUnsatisfiable @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rr @ SX0 @ SX1 )
              | ( ca_Cx4 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(161,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( cUnsatisfiable @ SX0 )
                | ! [SX1: $i] :
                    ( ~ ( rr @ SX0 @ SX1 )
                    | ( cd @ SX1 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( cUnsatisfiable @ SX0 )
                | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                    | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[141]) ).

thf(162,plain,
    ! [SV5: $i] :
      ( ( ( xsd_string @ SV5 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[142]) ).

thf(163,plain,
    ! [SV20: $i,SV7: $i] :
      ( ( ( ~ ( ra_Px2 @ SV7 @ SV20 ) )
        = $true )
      | ( ( cd @ SV7 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(164,plain,
    ! [SV8: $i] :
      ( ( ( cd @ SV8 )
        = $false )
      | ( ( ra_Px2 @ SV8 @ ( sK6_Y0 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[145]) ).

thf(165,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( ~ ( ra_Px1 @ SV9 @ SV21 ) )
        = $true )
      | ( ( cexcomp @ SV9 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(166,plain,
    ! [SV10: $i] :
      ( ( ( cexcomp @ SV10 )
        = $false )
      | ( ( ra_Px1 @ SV10 @ ( sK3_Y0 @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[147]) ).

thf(167,plain,
    ! [SV11: $i] :
      ( ( ( cdxcomp @ SV11 )
        = $false )
      | ( ( ! [SY24: $i] :
              ~ ( ra_Px2 @ SV11 @ SY24 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(168,plain,
    ! [SV22: $i,SV13: $i] :
      ( ( ( ~ ( ra_Px4 @ SV13 @ SV22 ) )
        = $true )
      | ( ( ca_Cx4 @ SV13 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(169,plain,
    ! [SV14: $i] :
      ( ( ( ca_Cx4 @ SV14 )
        = $false )
      | ( ( ra_Px4 @ SV14 @ ( sK2_Y0 @ SV14 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[151]) ).

thf(170,plain,
    ! [SV15: $i] :
      ( ( ( ca_Cx4xcomp @ SV15 )
        = $false )
      | ( ( ! [SY26: $i] :
              ~ ( ra_Px4 @ SV15 @ SY26 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(171,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( cd @ SV19 ) )
        = $true )
      | ( ( ~ ( cexcomp @ SV19 ) )
        = $true )
      | ( ( ca_Cx4xcomp @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[155]) ).

thf(172,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Cx4xcomp @ SX0 )
          | ( cd @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[156]) ).

thf(173,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ca_Cx4xcomp @ SX0 )
          | ( cexcomp @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[157]) ).

thf(174,plain,
    ! [SV23: $i,SV2: $i] :
      ( ( ( ~ ( ra_Px1 @ SV2 @ SV23 ) )
        = $true )
      | ( ( ce @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[158]) ).

thf(175,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
          | ~ ~ ( ca_Cx4 @ ( sK9_Y @ SV4 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(176,plain,
    ! [SV24: $i] :
      ( ( ~ ( cUnsatisfiable @ SV24 )
        | ! [SY27: $i] :
            ( ~ ( rr @ SV24 @ SY27 )
            | ( ca_Cx4 @ SY27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(177,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( cd @ SX1 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[161]) ).

thf(178,plain,
    ! [SV5: $i] :
      ( ( ( xsd_integer @ SV5 )
        = $false )
      | ( ( xsd_string @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(179,plain,
    ! [SV20: $i,SV7: $i] :
      ( ( ( ra_Px2 @ SV7 @ SV20 )
        = $false )
      | ( ( cd @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[163]) ).

thf(180,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( ra_Px1 @ SV9 @ SV21 )
        = $false )
      | ( ( cexcomp @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(181,plain,
    ! [SV25: $i,SV11: $i] :
      ( ( ( ~ ( ra_Px2 @ SV11 @ SV25 ) )
        = $true )
      | ( ( cdxcomp @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[167]) ).

thf(182,plain,
    ! [SV22: $i,SV13: $i] :
      ( ( ( ra_Px4 @ SV13 @ SV22 )
        = $false )
      | ( ( ca_Cx4 @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[168]) ).

thf(183,plain,
    ! [SV26: $i,SV15: $i] :
      ( ( ( ~ ( ra_Px4 @ SV15 @ SV26 ) )
        = $true )
      | ( ( ca_Cx4xcomp @ SV15 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(184,plain,
    ! [SV19: $i] :
      ( ( ( cd @ SV19 )
        = $false )
      | ( ( ~ ( cexcomp @ SV19 ) )
        = $true )
      | ( ( ca_Cx4xcomp @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[171]) ).

thf(185,plain,
    ! [SV27: $i] :
      ( ( ~ ( ca_Cx4xcomp @ SV27 )
        | ( cd @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[172]) ).

thf(186,plain,
    ! [SV28: $i] :
      ( ( ~ ( ca_Cx4xcomp @ SV28 )
        | ( cexcomp @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(187,plain,
    ! [SV23: $i,SV2: $i] :
      ( ( ( ra_Px1 @ SV2 @ SV23 )
        = $false )
      | ( ( ce @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[174]) ).

thf(188,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rr @ SV4 @ ( sK9_Y @ SV4 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[175]) ).

thf(189,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( ca_Cx4 @ ( sK9_Y @ SV4 ) ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[175]) ).

thf(190,plain,
    ! [SV24: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV24 ) )
        = $true )
      | ( ( ! [SY27: $i] :
              ( ~ ( rr @ SV24 @ SY27 )
              | ( ca_Cx4 @ SY27 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[176]) ).

thf(191,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ! [SX1: $i] :
                ( ~ ( rr @ SX0 @ SX1 )
                | ( cd @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[177]) ).

thf(192,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[177]) ).

thf(193,plain,
    ! [SV25: $i,SV11: $i] :
      ( ( ( ra_Px2 @ SV11 @ SV25 )
        = $false )
      | ( ( cdxcomp @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(194,plain,
    ! [SV26: $i,SV15: $i] :
      ( ( ( ra_Px4 @ SV15 @ SV26 )
        = $false )
      | ( ( ca_Cx4xcomp @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(195,plain,
    ! [SV19: $i] :
      ( ( ( cexcomp @ SV19 )
        = $false )
      | ( ( cd @ SV19 )
        = $false )
      | ( ( ca_Cx4xcomp @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(196,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( ca_Cx4xcomp @ SV27 ) )
        = $true )
      | ( ( cd @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[185]) ).

thf(197,plain,
    ! [SV28: $i] :
      ( ( ( ~ ( ca_Cx4xcomp @ SV28 ) )
        = $true )
      | ( ( cexcomp @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[186]) ).

thf(198,plain,
    ! [SV4: $i] :
      ( ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[188]) ).

thf(199,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ca_Cx4 @ ( sK9_Y @ SV4 ) ) )
        = $true )
      | ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[189]) ).

thf(200,plain,
    ! [SV24: $i] :
      ( ( ( cUnsatisfiable @ SV24 )
        = $false )
      | ( ( ! [SY27: $i] :
              ( ~ ( rr @ SV24 @ SY27 )
              | ( ca_Cx4 @ SY27 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(201,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cUnsatisfiable @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( rr @ SX0 @ SX1 )
              | ( cd @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[191]) ).

thf(202,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cUnsatisfiable @ SX0 )
          | ~ ( ~ ( cexcomp @ ( sK7_Y @ SX0 ) )
              | ~ ( rr @ SX0 @ ( sK7_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[192]) ).

thf(203,plain,
    ! [SV27: $i] :
      ( ( ( ca_Cx4xcomp @ SV27 )
        = $false )
      | ( ( cd @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(204,plain,
    ! [SV28: $i] :
      ( ( ( ca_Cx4xcomp @ SV28 )
        = $false )
      | ( ( cexcomp @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(205,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) ) )
        = $true )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[198]) ).

thf(206,plain,
    ! [SV4: $i] :
      ( ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
          | ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(207,plain,
    ! [SV29: $i,SV24: $i] :
      ( ( ( ~ ( rr @ SV24 @ SV29 )
          | ( ca_Cx4 @ SV29 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV24 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[200]) ).

thf(208,plain,
    ! [SV30: $i] :
      ( ( ~ ( cUnsatisfiable @ SV30 )
        | ! [SY28: $i] :
            ( ~ ( rr @ SV30 @ SY28 )
            | ( cd @ SY28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[201]) ).

thf(209,plain,
    ! [SV31: $i] :
      ( ( ~ ( cUnsatisfiable @ SV31 )
        | ~ ( ~ ( cexcomp @ ( sK7_Y @ SV31 ) )
            | ~ ( rr @ SV31 @ ( sK7_Y @ SV31 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[202]) ).

thf(210,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
          | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(211,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
              | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) ) )
        = $true )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[206]) ).

thf(212,plain,
    ! [SV29: $i,SV24: $i] :
      ( ( ( ~ ( rr @ SV24 @ SV29 ) )
        = $true )
      | ( ( ca_Cx4 @ SV29 )
        = $true )
      | ( ( cUnsatisfiable @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[207]) ).

thf(213,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV30 ) )
        = $true )
      | ( ( ! [SY28: $i] :
              ( ~ ( rr @ SV30 @ SY28 )
              | ( cd @ SY28 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[208]) ).

thf(214,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV31 ) )
        = $true )
      | ( ( ~ ( ~ ( cexcomp @ ( sK7_Y @ SV31 ) )
              | ~ ( rr @ SV31 @ ( sK7_Y @ SV31 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[209]) ).

thf(215,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[210]) ).

thf(216,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[210]) ).

thf(217,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
          | ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(218,plain,
    ! [SV29: $i,SV24: $i] :
      ( ( ( rr @ SV24 @ SV29 )
        = $false )
      | ( ( ca_Cx4 @ SV29 )
        = $true )
      | ( ( cUnsatisfiable @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[212]) ).

thf(219,plain,
    ! [SV30: $i] :
      ( ( ( cUnsatisfiable @ SV30 )
        = $false )
      | ( ( ! [SY28: $i] :
              ( ~ ( rr @ SV30 @ SY28 )
              | ( cd @ SY28 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[213]) ).

thf(220,plain,
    ! [SV31: $i] :
      ( ( ( cUnsatisfiable @ SV31 )
        = $false )
      | ( ( ~ ( ~ ( cexcomp @ ( sK7_Y @ SV31 ) )
              | ~ ( rr @ SV31 @ ( sK7_Y @ SV31 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(221,plain,
    ! [SV4: $i] :
      ( ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[215]) ).

thf(222,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cd @ ( sK8_Y @ SV4 ) ) )
        = $true )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[216]) ).

thf(223,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rr @ SV4 @ ( sK8_Y @ SV4 ) ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(224,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( cd @ ( sK8_Y @ SV4 ) ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(225,plain,
    ! [SV32: $i,SV30: $i] :
      ( ( ( ~ ( rr @ SV30 @ SV32 )
          | ( cd @ SV32 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV30 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(226,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( cexcomp @ ( sK7_Y @ SV31 ) )
          | ~ ( rr @ SV31 @ ( sK7_Y @ SV31 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV31 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(227,plain,
    ! [SV4: $i,SV33: $i] :
      ( ( ( ~ ( cexcomp @ SV33 )
          | ~ ( rr @ SV4 @ SV33 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[221]) ).

thf(228,plain,
    ! [SV4: $i] :
      ( ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(229,plain,
    ! [SV4: $i] :
      ( ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[223]) ).

thf(230,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cd @ ( sK8_Y @ SV4 ) ) )
        = $true )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[224]) ).

thf(231,plain,
    ! [SV32: $i,SV30: $i] :
      ( ( ( ~ ( rr @ SV30 @ SV32 ) )
        = $true )
      | ( ( cd @ SV32 )
        = $true )
      | ( ( cUnsatisfiable @ SV30 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[225]) ).

thf(232,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( cexcomp @ ( sK7_Y @ SV31 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV31 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(233,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( rr @ SV31 @ ( sK7_Y @ SV31 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV31 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(234,plain,
    ! [SV4: $i,SV33: $i] :
      ( ( ( ~ ( cexcomp @ SV33 ) )
        = $true )
      | ( ( ~ ( rr @ SV4 @ SV33 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[227]) ).

thf(235,plain,
    ! [SV4: $i,SV34: $i] :
      ( ( ( ~ ( cexcomp @ SV34 )
          | ~ ( rr @ SV4 @ SV34 ) )
        = $true )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[228]) ).

thf(236,plain,
    ! [SV4: $i,SV35: $i] :
      ( ( ( ~ ( cexcomp @ SV35 )
          | ~ ( rr @ SV4 @ SV35 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(237,plain,
    ! [SV4: $i] :
      ( ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( cexcomp @ SY21 )
              | ~ ( rr @ SV4 @ SY21 ) ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(238,plain,
    ! [SV32: $i,SV30: $i] :
      ( ( ( rr @ SV30 @ SV32 )
        = $false )
      | ( ( cd @ SV32 )
        = $true )
      | ( ( cUnsatisfiable @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[231]) ).

thf(239,plain,
    ! [SV31: $i] :
      ( ( ( cexcomp @ ( sK7_Y @ SV31 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV31 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(240,plain,
    ! [SV31: $i] :
      ( ( ( rr @ SV31 @ ( sK7_Y @ SV31 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV31 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[233]) ).

thf(241,plain,
    ! [SV4: $i,SV33: $i] :
      ( ( ( cexcomp @ SV33 )
        = $false )
      | ( ( ~ ( rr @ SV4 @ SV33 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(242,plain,
    ! [SV4: $i,SV34: $i] :
      ( ( ( ~ ( cexcomp @ SV34 ) )
        = $true )
      | ( ( ~ ( rr @ SV4 @ SV34 ) )
        = $true )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[235]) ).

thf(243,plain,
    ! [SV4: $i,SV35: $i] :
      ( ( ( ~ ( cexcomp @ SV35 ) )
        = $true )
      | ( ( ~ ( rr @ SV4 @ SV35 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[236]) ).

thf(244,plain,
    ! [SV4: $i,SV36: $i] :
      ( ( ( ~ ( cexcomp @ SV36 )
          | ~ ( rr @ SV4 @ SV36 ) )
        = $true )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(245,plain,
    ! [SV33: $i,SV4: $i] :
      ( ( ( rr @ SV4 @ SV33 )
        = $false )
      | ( ( cexcomp @ SV33 )
        = $false )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(246,plain,
    ! [SV4: $i,SV34: $i] :
      ( ( ( cexcomp @ SV34 )
        = $false )
      | ( ( ~ ( rr @ SV4 @ SV34 ) )
        = $true )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[242]) ).

thf(247,plain,
    ! [SV4: $i,SV35: $i] :
      ( ( ( cexcomp @ SV35 )
        = $false )
      | ( ( ~ ( rr @ SV4 @ SV35 ) )
        = $true )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[243]) ).

thf(248,plain,
    ! [SV4: $i,SV36: $i] :
      ( ( ( ~ ( cexcomp @ SV36 ) )
        = $true )
      | ( ( ~ ( rr @ SV4 @ SV36 ) )
        = $true )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[244]) ).

thf(249,plain,
    ! [SV34: $i,SV4: $i] :
      ( ( ( rr @ SV4 @ SV34 )
        = $false )
      | ( ( cexcomp @ SV34 )
        = $false )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( rr @ SV4 @ ( sK9_Y @ SV4 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(250,plain,
    ! [SV35: $i,SV4: $i] :
      ( ( ( rr @ SV4 @ SV35 )
        = $false )
      | ( ( cexcomp @ SV35 )
        = $false )
      | ( ( rr @ SV4 @ ( sK8_Y @ SV4 ) )
        = $true )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[247]) ).

thf(251,plain,
    ! [SV4: $i,SV36: $i] :
      ( ( ( cexcomp @ SV36 )
        = $false )
      | ( ( ~ ( rr @ SV4 @ SV36 ) )
        = $true )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(252,plain,
    ! [SV36: $i,SV4: $i] :
      ( ( ( rr @ SV4 @ SV36 )
        = $false )
      | ( ( cexcomp @ SV36 )
        = $false )
      | ( ( cd @ ( sK8_Y @ SV4 ) )
        = $false )
      | ( ( ca_Cx4 @ ( sK9_Y @ SV4 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(253,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[51,252,250,249,245,240,239,238,218,204,203,195,194,193,187,182,180,179,178,169,166,164,154,153,149,143,138,133,96,64]) ).

thf(254,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS128+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 12:57:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 12
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.35  (rf:0,axioms:12,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:14,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.19/0.44  
% 0.19/0.44  ********************************
% 0.19/0.44  *   All subproblems solved!    *
% 0.19/0.44  ********************************
% 0.19/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:253,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.46  
% 0.19/0.46  %**** Beginning of derivation protocol ****
% 0.19/0.46  % SZS output start CNFRefutation
% See solution above
% 0.19/0.46  
% 0.19/0.46  %**** End of derivation protocol ****
% 0.19/0.46  %**** no. of clauses in derivation: 254 ****
% 0.19/0.46  %**** clause counter: 253 ****
% 0.19/0.46  
% 0.19/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:253,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------