TSTP Solution File: KRS134+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : KRS134+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 03:14:48 EDT 2022

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  217 ( 171 unt;  12 typ;   0 def)
%            Number of atoms       :  856 ( 230 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :  903 ( 280   ~; 139   |;  31   &; 432   @)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  233 (   0   ^ 233   !;   0   ?; 233   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_cA,type,
    cA: $i > $o ).

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

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

thf(tp_rprop,type,
    rprop: $i > $i > $o ).

thf(tp_sK1_X,type,
    sK1_X: $i ).

thf(tp_sK2_X,type,
    sK2_X: $i ).

thf(tp_sK3_X,type,
    sK3_X: $i ).

thf(tp_sK4_X,type,
    sK4_X: $i ).

thf(tp_sK5_X,type,
    sK5_X: $i ).

thf(tp_sK6_SY8,type,
    sK6_SY8: $i ).

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

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

thf(1,axiom,
    ! [X: $i,Y: $i] :
      ( ( rprop @ X @ Y )
     => ( cA @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(2,axiom,
    ! [X: $i] :
      ( ( xsd_string @ X )
    <=> ~ ( xsd_integer @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

thf(3,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
      & ~ ( cowlNothing @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

thf(4,conjecture,
    ( ! [X: $i] :
        ( ( cowlThing @ X )
        & ~ ( cowlNothing @ X ) )
    & ! [X: $i] :
        ( ( xsd_string @ X )
      <=> ~ ( xsd_integer @ X ) )
    & ! [X: $i] :
        ( ( cowlThing @ X )
       => ! [Y: $i] :
            ( ( rprop @ X @ Y )
           => ( cA @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

thf(5,negated_conjecture,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) )
      & ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( cowlThing @ X )
         => ! [Y: $i] :
              ( ( rprop @ X @ Y )
             => ( cA @ Y ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[4]) ).

thf(6,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) )
      & ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( cowlThing @ X )
         => ! [Y: $i] :
              ( ( rprop @ X @ Y )
             => ( cA @ Y ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( rprop @ X @ Y )
         => ( cA @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(8,plain,
    ( ( ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(9,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(10,plain,
    ( ( ! [X: $i] : ( cowlThing @ X ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(11,plain,
    ( ( ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(12,plain,
    ( ( ! [X: $i] :
          ( ( xsd_string @ X )
         => ~ ( xsd_integer @ X ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(13,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_integer @ X )
         => ( xsd_string @ X ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(14,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
         => ! [Y: $i] :
              ( ( rprop @ X @ Y )
             => ( cA @ Y ) ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(15,plain,
    ( ( ~ ! [X: $i] : ( cowlThing @ X ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[10]) ).

thf(16,plain,
    ( ( ~ ! [X: $i] :
            ~ ( cowlNothing @ X ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[11]) ).

thf(17,plain,
    ( ( ~ ! [X: $i] :
            ( ( xsd_string @ X )
           => ~ ( xsd_integer @ X ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[12]) ).

thf(18,plain,
    ( ( ~ ! [X: $i] :
            ( ~ ( xsd_integer @ X )
           => ( xsd_string @ X ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[13]) ).

thf(19,plain,
    ( ( ~ ! [X: $i] :
            ( ( cowlThing @ X )
           => ! [Y: $i] :
                ( ( rprop @ X @ Y )
               => ( cA @ Y ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[14]) ).

thf(20,plain,
    ( ( ~ ( cowlThing @ sK1_X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[15]) ).

thf(21,plain,
    ( ( cowlNothing @ sK2_X )
    = $true ),
    inference(extcnf_combined,[status(esa)],[16]) ).

thf(22,plain,
    ( ( ( xsd_string @ sK3_X )
      & ( xsd_integer @ sK3_X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[17]) ).

thf(23,plain,
    ( ( ~ ( xsd_integer @ sK4_X )
      & ~ ( xsd_string @ sK4_X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(24,plain,
    ( ( ( cowlThing @ sK5_X )
      & ( rprop @ sK5_X @ sK6_SY8 )
      & ~ ( cA @ sK6_SY8 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(25,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rprop @ X @ Y )
          | ( cA @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[7]) ).

thf(26,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(27,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(28,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(29,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(30,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rprop @ X @ Y )
          | ( cA @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(31,plain,
    ( ( ~ ( cowlThing @ sK1_X ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(32,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(33,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(34,plain,
    ! [SV1: $i] :
      ( ( ! [SY9: $i] :
            ( ~ ( rprop @ SV1 @ SY9 )
            | ( cA @ SY9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(35,plain,
    ( ( cowlThing @ sK1_X )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(36,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(37,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[33]) ).

thf(38,plain,
    ! [SV2: $i,SV1: $i] :
      ( ( ~ ( rprop @ SV1 @ SV2 )
        | ( cA @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[34]) ).

thf(39,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(40,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(41,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(42,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(43,plain,
    ! [SV2: $i,SV1: $i] :
      ( ( ( ~ ( rprop @ SV1 @ SV2 ) )
        = $true )
      | ( ( cA @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[38]) ).

thf(44,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(45,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[40]) ).

thf(46,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[41]) ).

thf(47,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV2: $i,SV1: $i] :
      ( ( ( rprop @ SV1 @ SV2 )
        = $false )
      | ( ( cA @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV3: $i] :
      ( ( ~ ( xsd_string @ SV3 )
        | ~ ( xsd_integer @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(50,plain,
    ! [SV4: $i] :
      ( ( ( xsd_integer @ SV4 )
        | ( xsd_string @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(51,plain,
    ! [SV5: $i] :
      ( ( cowlThing @ SV5 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(52,plain,
    ! [SV6: $i] :
      ( ( ~ ( cowlNothing @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(53,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( xsd_string @ SV3 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[49]) ).

thf(54,plain,
    ! [SV4: $i] :
      ( ( ( xsd_integer @ SV4 )
        = $true )
      | ( ( xsd_string @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[50]) ).

thf(55,plain,
    ! [SV6: $i] :
      ( ( cowlNothing @ SV6 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(56,plain,
    ! [SV3: $i] :
      ( ( ( xsd_string @ SV3 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(57,plain,
    ! [SV3: $i] :
      ( ( ( xsd_integer @ SV3 )
        = $false )
      | ( ( xsd_string @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(58,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[35,57,55,54,51,48]) ).

thf(59,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(60,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(61,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rprop @ X @ Y )
          | ( cA @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(62,plain,
    ( ( cowlNothing @ sK2_X )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(63,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(64,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(65,plain,
    ! [SV7: $i] :
      ( ( ! [SY10: $i] :
            ( ~ ( rprop @ SV7 @ SY10 )
            | ( cA @ SY10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(66,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

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)],[64]) ).

thf(68,plain,
    ! [SV8: $i,SV7: $i] :
      ( ( ~ ( rprop @ SV7 @ SV8 )
        | ( cA @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(69,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(70,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(71,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(72,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(73,plain,
    ! [SV8: $i,SV7: $i] :
      ( ( ( ~ ( rprop @ SV7 @ SV8 ) )
        = $true )
      | ( ( cA @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[68]) ).

thf(74,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[69]) ).

thf(75,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[70]) ).

thf(76,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[71]) ).

thf(77,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[72]) ).

thf(78,plain,
    ! [SV8: $i,SV7: $i] :
      ( ( ( rprop @ SV7 @ SV8 )
        = $false )
      | ( ( cA @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(79,plain,
    ! [SV9: $i] :
      ( ( cowlThing @ SV9 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[74]) ).

thf(80,plain,
    ! [SV10: $i] :
      ( ( ~ ( cowlNothing @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[75]) ).

thf(81,plain,
    ! [SV11: $i] :
      ( ( ~ ( xsd_string @ SV11 )
        | ~ ( xsd_integer @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[76]) ).

thf(82,plain,
    ! [SV12: $i] :
      ( ( ( xsd_integer @ SV12 )
        | ( xsd_string @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(83,plain,
    ! [SV10: $i] :
      ( ( cowlNothing @ SV10 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(84,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( xsd_string @ SV11 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(85,plain,
    ! [SV12: $i] :
      ( ( ( xsd_integer @ SV12 )
        = $true )
      | ( ( xsd_string @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV11: $i] :
      ( ( ( xsd_string @ SV11 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(87,plain,
    ! [SV11: $i] :
      ( ( ( xsd_integer @ SV11 )
        = $false )
      | ( ( xsd_string @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(88,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[62,87,85,83,79,78]) ).

thf(89,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(90,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(91,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rprop @ X @ Y )
          | ( cA @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(92,plain,
    ( ( ( xsd_string @ sK3_X )
      & ( xsd_integer @ sK3_X ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(93,plain,
    ( ( ~ ( ~ ( xsd_string @ sK3_X )
          | ~ ( xsd_integer @ sK3_X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(94,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(95,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(96,plain,
    ! [SV13: $i] :
      ( ( ! [SY11: $i] :
            ( ~ ( rprop @ SV13 @ SY11 )
            | ( cA @ SY11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(97,plain,
    ( ( ~ ( xsd_string @ sK3_X )
      | ~ ( xsd_integer @ sK3_X ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(98,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(99,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[95]) ).

thf(100,plain,
    ! [SV14: $i,SV13: $i] :
      ( ( ~ ( rprop @ SV13 @ SV14 )
        | ( cA @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(101,plain,
    ( ( ~ ( xsd_string @ sK3_X ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[97]) ).

thf(102,plain,
    ( ( ~ ( xsd_integer @ sK3_X ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[97]) ).

thf(103,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[98]) ).

thf(104,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[98]) ).

thf(105,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[99]) ).

thf(106,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[99]) ).

thf(107,plain,
    ! [SV14: $i,SV13: $i] :
      ( ( ( ~ ( rprop @ SV13 @ SV14 ) )
        = $true )
      | ( ( cA @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(108,plain,
    ( ( xsd_string @ sK3_X )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[101]) ).

thf(109,plain,
    ( ( xsd_integer @ sK3_X )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[102]) ).

thf(110,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[103]) ).

thf(111,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[104]) ).

thf(112,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[105]) ).

thf(113,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[106]) ).

thf(114,plain,
    ! [SV14: $i,SV13: $i] :
      ( ( ( rprop @ SV13 @ SV14 )
        = $false )
      | ( ( cA @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(115,plain,
    ! [SV15: $i] :
      ( ( ~ ( xsd_string @ SV15 )
        | ~ ( xsd_integer @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[110]) ).

thf(116,plain,
    ! [SV16: $i] :
      ( ( ( xsd_integer @ SV16 )
        | ( xsd_string @ SV16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[111]) ).

thf(117,plain,
    ! [SV17: $i] :
      ( ( cowlThing @ SV17 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[112]) ).

thf(118,plain,
    ! [SV18: $i] :
      ( ( ~ ( cowlNothing @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[113]) ).

thf(119,plain,
    ! [SV15: $i] :
      ( ( ( ~ ( xsd_string @ SV15 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[115]) ).

thf(120,plain,
    ! [SV16: $i] :
      ( ( ( xsd_integer @ SV16 )
        = $true )
      | ( ( xsd_string @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[116]) ).

thf(121,plain,
    ! [SV18: $i] :
      ( ( cowlNothing @ SV18 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(122,plain,
    ! [SV15: $i] :
      ( ( ( xsd_string @ SV15 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(123,plain,
    ! [SV15: $i] :
      ( ( ( xsd_integer @ SV15 )
        = $false )
      | ( ( xsd_string @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[122]) ).

thf(124,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[108,123,121,120,117,114,109]) ).

thf(125,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(126,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(127,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rprop @ X @ Y )
          | ( cA @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(128,plain,
    ( ( ~ ( xsd_integer @ sK4_X )
      & ~ ( xsd_string @ sK4_X ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(129,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(130,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(131,plain,
    ( ( ~ ( ~ ~ ( xsd_integer @ sK4_X )
          | ~ ~ ( xsd_string @ sK4_X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(132,plain,
    ! [SV19: $i] :
      ( ( ! [SY12: $i] :
            ( ~ ( rprop @ SV19 @ SY12 )
            | ( cA @ SY12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[127]) ).

thf(133,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(134,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(135,plain,
    ( ( ~ ~ ( xsd_integer @ sK4_X )
      | ~ ~ ( xsd_string @ sK4_X ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(136,plain,
    ! [SV20: $i,SV19: $i] :
      ( ( ~ ( rprop @ SV19 @ SV20 )
        | ( cA @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[132]) ).

thf(137,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[133]) ).

thf(138,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[133]) ).

thf(139,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(140,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(141,plain,
    ( ( ~ ~ ( xsd_integer @ sK4_X ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(142,plain,
    ( ( ~ ~ ( xsd_string @ sK4_X ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(143,plain,
    ! [SV20: $i,SV19: $i] :
      ( ( ( ~ ( rprop @ SV19 @ SV20 ) )
        = $true )
      | ( ( cA @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[136]) ).

thf(144,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[137]) ).

thf(145,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[138]) ).

thf(146,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[139]) ).

thf(147,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(148,plain,
    ( ( ~ ( xsd_integer @ sK4_X ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[141]) ).

thf(149,plain,
    ( ( ~ ( xsd_string @ sK4_X ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(150,plain,
    ! [SV20: $i,SV19: $i] :
      ( ( ( rprop @ SV19 @ SV20 )
        = $false )
      | ( ( cA @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(151,plain,
    ! [SV21: $i] :
      ( ( ~ ( xsd_string @ SV21 )
        | ~ ( xsd_integer @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(152,plain,
    ! [SV22: $i] :
      ( ( ( xsd_integer @ SV22 )
        | ( xsd_string @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[145]) ).

thf(153,plain,
    ! [SV23: $i] :
      ( ( cowlThing @ SV23 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(154,plain,
    ! [SV24: $i] :
      ( ( ~ ( cowlNothing @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(155,plain,
    ( ( xsd_integer @ sK4_X )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(156,plain,
    ( ( xsd_string @ sK4_X )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(157,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( xsd_string @ SV21 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV21 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[151]) ).

thf(158,plain,
    ! [SV22: $i] :
      ( ( ( xsd_integer @ SV22 )
        = $true )
      | ( ( xsd_string @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[152]) ).

thf(159,plain,
    ! [SV24: $i] :
      ( ( cowlNothing @ SV24 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[154]) ).

thf(160,plain,
    ! [SV21: $i] :
      ( ( ( xsd_string @ SV21 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV21 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(161,plain,
    ! [SV21: $i] :
      ( ( ( xsd_integer @ SV21 )
        = $false )
      | ( ( xsd_string @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[160]) ).

thf(162,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[150,161,159,158,156,155,153]) ).

thf(163,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(164,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(165,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( rprop @ X @ Y )
          | ( cA @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(166,plain,
    ( ( ( cowlThing @ sK5_X )
      & ( rprop @ sK5_X @ sK6_SY8 )
      & ~ ( cA @ sK6_SY8 ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(167,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(168,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(169,plain,
    ( ( ~ ( ~ ( cowlThing @ sK5_X )
          | ~ ~ ( ~ ( rprop @ sK5_X @ sK6_SY8 )
                | ~ ~ ( cA @ sK6_SY8 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(170,plain,
    ! [SV25: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ( rprop @ SV25 @ SY13 )
            | ( cA @ SY13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(171,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[167]) ).

thf(172,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[168]) ).

thf(173,plain,
    ( ( ~ ( cowlThing @ sK5_X )
      | ~ ~ ( ~ ( rprop @ sK5_X @ sK6_SY8 )
            | ~ ~ ( cA @ sK6_SY8 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[169]) ).

thf(174,plain,
    ! [SV26: $i,SV25: $i] :
      ( ( ~ ( rprop @ SV25 @ SV26 )
        | ( cA @ SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(175,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[171]) ).

thf(176,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[171]) ).

thf(177,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(178,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(179,plain,
    ( ( ~ ( cowlThing @ sK5_X ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[173]) ).

thf(180,plain,
    ( ( ~ ~ ( ~ ( rprop @ sK5_X @ sK6_SY8 )
            | ~ ~ ( cA @ sK6_SY8 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[173]) ).

thf(181,plain,
    ! [SV26: $i,SV25: $i] :
      ( ( ( ~ ( rprop @ SV25 @ SV26 ) )
        = $true )
      | ( ( cA @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(182,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[175]) ).

thf(183,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[176]) ).

thf(184,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[177]) ).

thf(185,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[178]) ).

thf(186,plain,
    ( ( cowlThing @ sK5_X )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[179]) ).

thf(187,plain,
    ( ( ~ ( ~ ( rprop @ sK5_X @ sK6_SY8 )
          | ~ ~ ( cA @ sK6_SY8 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[180]) ).

thf(188,plain,
    ! [SV26: $i,SV25: $i] :
      ( ( ( rprop @ SV25 @ SV26 )
        = $false )
      | ( ( cA @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(189,plain,
    ! [SV27: $i] :
      ( ( cowlThing @ SV27 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(190,plain,
    ! [SV28: $i] :
      ( ( ~ ( cowlNothing @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(191,plain,
    ! [SV29: $i] :
      ( ( ~ ( xsd_string @ SV29 )
        | ~ ( xsd_integer @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[184]) ).

thf(192,plain,
    ! [SV30: $i] :
      ( ( ( xsd_integer @ SV30 )
        | ( xsd_string @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[185]) ).

thf(193,plain,
    ( ( ~ ( rprop @ sK5_X @ sK6_SY8 )
      | ~ ~ ( cA @ sK6_SY8 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(194,plain,
    ! [SV28: $i] :
      ( ( cowlNothing @ SV28 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(195,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( xsd_string @ SV29 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV29 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[191]) ).

thf(196,plain,
    ! [SV30: $i] :
      ( ( ( xsd_integer @ SV30 )
        = $true )
      | ( ( xsd_string @ SV30 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(197,plain,
    ( ( ~ ( rprop @ sK5_X @ sK6_SY8 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[193]) ).

thf(198,plain,
    ( ( ~ ~ ( cA @ sK6_SY8 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[193]) ).

thf(199,plain,
    ! [SV29: $i] :
      ( ( ( xsd_string @ SV29 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV29 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[195]) ).

thf(200,plain,
    ( ( rprop @ sK5_X @ sK6_SY8 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[197]) ).

thf(201,plain,
    ( ( ~ ( cA @ sK6_SY8 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[198]) ).

thf(202,plain,
    ! [SV29: $i] :
      ( ( ( xsd_integer @ SV29 )
        = $false )
      | ( ( xsd_string @ SV29 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(203,plain,
    ( ( cA @ sK6_SY8 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(204,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[186,203,202,200,196,194,189,188]) ).

thf(205,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[204,58,88,124,162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS134+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
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun  7 11:39:02 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  
% 0.14/0.35   No.of.Axioms: 3
% 0.14/0.35  
% 0.14/0.35   Length.of.Defs: 0
% 0.14/0.35  
% 0.14/0.35   Contains.Choice.Funs: false
% 0.14/0.35  (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.48  
% 0.20/0.48  ********************************
% 0.20/0.48  *   All subproblems solved!    *
% 0.20/0.48  ********************************
% 0.20/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:204,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.49  
% 0.20/0.49  %**** Beginning of derivation protocol ****
% 0.20/0.49  % SZS output start CNFRefutation
% See solution above
% 0.20/0.49  
% 0.20/0.49  %**** End of derivation protocol ****
% 0.20/0.49  %**** no. of clauses in derivation: 205 ****
% 0.20/0.49  %**** clause counter: 204 ****
% 0.20/0.49  
% 0.20/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:204,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------