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LEO-II---2.3.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:26:17 AM UTC 2026

% Result   : Unsatisfiable 0.44s 0.28s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  272 ( 118 unt;   0 typ;   0 def)
%            Number of atoms       : 1757 ( 716 equ;   0 cnn)
%            Maximal formula atoms :    7 (   6 avg)
%            Number of connectives : 2592 ( 898   ~; 499   |;  60   &;1087   @)
%                                         (   6 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :  568 (   0   ^; 556   !;  12   ?; 568   :)

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

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

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

thf(tp_i2003_11_14_17_19_53168,type,
    i2003_11_14_17_19_53168: $i ).

thf(tp_ispy,type,
    ispy: $i ).

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

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

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

thf(tp_sK1_SY46,type,
    sK1_SY46: $i > $i ).

thf(tp_sK2_SY55,type,
    sK2_SY55: $i > $i ).

thf(tp_sK3_SY72,type,
    sK3_SY72: $i > $i ).

thf(tp_sK4_SY74,type,
    sK4_SY74: $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_19_53168,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

thf(2,axiom,
    cowlThing @ ispy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

thf(3,axiom,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( rinvP @ ispy @ X0 )
        & ( rinvP @ ispy @ X1 )
        & ( rinvP @ ispy @ X2 ) )
     => ( ( X0 = X1 )
        | ( X0 = X2 )
        | ( X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

thf(4,axiom,
    ! [X: $i,Y: $i] :
      ( ( rp @ X @ Y )
    <=> ( rinvP @ Y @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

thf(5,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
     => ? [Y: $i] :
          ( ( rp @ X @ Y )
          & ( Y = ispy ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

thf(6,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
     => ? [Y0: $i,Y1: $i,Y2: $i] :
          ( ( rr @ X @ Y0 )
          & ( rr @ X @ Y1 )
          & ( rr @ X @ Y2 )
          & ( Y0 != Y1 )
          & ( Y0 != Y2 )
          & ( Y1 != Y2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(7,axiom,
    ! [X: $i] :
      ( ( xsd_string @ X )
    <=> ~ ( xsd_integer @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

thf(8,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
      & ~ ( cowlNothing @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A = B )
        & ( xsd_string @ A ) )
     => ( xsd_string @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_string_substitution_1) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A = B )
        & ( xsd_integer @ A ) )
     => ( xsd_integer @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).

thf(11,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A = B )
        & ( rr @ C @ A ) )
     => ( rr @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rr_substitution_2) ).

thf(12,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A = B )
        & ( rr @ A @ C ) )
     => ( rr @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rr_substitution_1) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A = B )
        & ( rp @ C @ A ) )
     => ( rp @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rp_substitution_2) ).

thf(14,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A = B )
        & ( rp @ A @ C ) )
     => ( rp @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rp_substitution_1) ).

thf(15,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A = B )
        & ( rinvP @ C @ A ) )
     => ( rinvP @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvP_substitution_2) ).

thf(16,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A = B )
        & ( rinvP @ A @ C ) )
     => ( rinvP @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvP_substitution_1) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A = B )
        & ( cowlThing @ A ) )
     => ( cowlThing @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A = B )
        & ( cowlNothing @ A ) )
     => ( cowlNothing @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).

thf(19,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A = B )
        & ( cUnsatisfiable @ A ) )
     => ( cUnsatisfiable @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).

thf(20,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(21,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[20]) ).

thf(22,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[21]) ).

thf(23,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_19_53168 )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(24,plain,
    ( ( cowlThing @ ispy )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(25,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( ( rinvP @ ispy @ X0 )
            & ( rinvP @ ispy @ X1 )
            & ( rinvP @ ispy @ X2 ) )
         => ( ( X0 = X1 )
            | ( X0 = X2 )
            | ( X1 = X2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(26,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( rp @ X @ Y )
        <=> ( rinvP @ Y @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(27,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
         => ? [Y: $i] :
              ( ( rp @ X @ Y )
              & ( Y = ispy ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(28,plain,
    ( ( ! [X: $i] :
          ( ( cUnsatisfiable @ X )
         => ? [Y0: $i,Y1: $i,Y2: $i] :
              ( ( rr @ X @ Y0 )
              & ( rr @ X @ Y1 )
              & ( rr @ X @ Y2 )
              & ( Y0 != Y1 )
              & ( Y0 != Y2 )
              & ( Y1 != Y2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(29,plain,
    ( ( ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(30,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(31,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( xsd_string @ A ) )
         => ( xsd_string @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(32,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( xsd_integer @ A ) )
         => ( xsd_integer @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(33,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rr @ C @ A ) )
         => ( rr @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(34,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rr @ A @ C ) )
         => ( rr @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(35,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rp @ C @ A ) )
         => ( rp @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(36,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rp @ A @ C ) )
         => ( rp @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(37,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rinvP @ C @ A ) )
         => ( rinvP @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(38,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rinvP @ A @ C ) )
         => ( rinvP @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(39,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( cowlThing @ A ) )
         => ( cowlThing @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(40,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( cowlNothing @ A ) )
         => ( cowlNothing @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(41,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( cUnsatisfiable @ A ) )
         => ( cUnsatisfiable @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(42,plain,
    ( ( ~ $false ) = $true ),
    inference(polarity_switch,[status(thm)],[22]) ).

thf(43,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( cUnsatisfiable @ A ) )
         => ( cUnsatisfiable @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(44,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( cowlNothing @ A ) )
         => ( cowlNothing @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(45,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( cowlThing @ A ) )
         => ( cowlThing @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(46,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rinvP @ A @ C ) )
         => ( rinvP @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(47,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rinvP @ C @ A ) )
         => ( rinvP @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(48,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rp @ A @ C ) )
         => ( rp @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(49,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rp @ C @ A ) )
         => ( rp @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(50,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rr @ A @ C ) )
         => ( rr @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(51,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( A = B )
            & ( rr @ C @ A ) )
         => ( rr @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(52,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( xsd_integer @ A ) )
         => ( xsd_integer @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(53,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( ( A = B )
            & ( xsd_string @ A ) )
         => ( xsd_string @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(54,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(55,plain,
    ( ( ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(56,plain,
    ( ( ! [X: $i] :
          ( ( cUnsatisfiable @ X )
         => ? [Y0: $i,Y1: $i,Y2: $i] :
              ( ( rr @ X @ Y0 )
              & ( rr @ X @ Y1 )
              & ( rr @ X @ Y2 )
              & ( Y0 != Y1 )
              & ( Y0 != Y2 )
              & ( Y1 != Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(57,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
         => ? [Y: $i] :
              ( ( rp @ X @ Y )
              & ( Y = ispy ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(58,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( rp @ X @ Y )
        <=> ( rinvP @ Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(59,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( ( rinvP @ ispy @ X0 )
            & ( rinvP @ ispy @ X1 )
            & ( rinvP @ ispy @ X2 ) )
         => ( ( X0 = X1 )
            | ( X0 = X2 )
            | ( X1 = X2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(60,plain,
    ( ( cowlThing @ ispy )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(61,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_19_53168 )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(62,plain,
    ( ( ~ $false ) = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(63,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( cUnsatisfiable @ SX0 ) )
          | ( cUnsatisfiable @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(64,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( rr @ SX2 @ SX0 ) )
          | ( rr @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(65,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( rinvP @ SX0 @ SX2 ) )
          | ( rinvP @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(66,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cowlThing @ SX0 )
          | ~ ! [SX1: $i] :
                ~ ~ ( ~ ( rp @ SX0 @ SX1 )
                    | ( SX1 != ispy ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(67,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( cowlNothing @ SX0 ) )
          | ( cowlNothing @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(68,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( rinvP @ SX2 @ SX0 ) )
          | ( rinvP @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(69,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( xsd_string @ SX0 ) )
          | ( xsd_string @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(70,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( cowlThing @ SX0 )
            | ~ ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(71,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( cowlThing @ SX0 ) )
          | ( cowlThing @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(72,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( rp @ SX0 @ SX2 ) )
          | ( rp @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(73,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( rp @ SX0 @ SX1 )
                | ( rinvP @ SX1 @ SX0 ) )
            | ~ ( ~ ( rinvP @ SX1 @ SX0 )
                | ( rp @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(74,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cUnsatisfiable @ SX0 )
          | ~ ! [SX1: $i] :
                ~ ~ ! [SX2: $i] :
                      ~ ~ ! [SX3: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SX0 @ SX1 )
                                                        | ~ ( rr @ SX0 @ SX2 ) )
                                                  | ~ ( rr @ SX0 @ SX3 ) )
                                            | ~ ( ( SX1 != SX2 ) ) )
                                      | ~ ( ( SX1 != SX3 ) ) )
                                | ~ ( ( SX2 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(75,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( rinvP @ ispy @ SX0 )
                      | ~ ( rinvP @ ispy @ SX1 ) )
                | ~ ( rinvP @ ispy @ SX2 ) )
          | ( SX0 = SX1 )
          | ( SX0 = SX2 )
          | ( SX1 = SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(76,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
            | ~ ( ~ ~ ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(77,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( xsd_integer @ SX0 ) )
          | ( xsd_integer @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(78,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( rp @ SX2 @ SX0 ) )
          | ( rp @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(79,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ( SX0 != SX1 )
                | ~ ( rr @ SX0 @ SX2 ) )
          | ( rr @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(80,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(81,plain,
    ! [SV1: $i] :
      ( ( ! [SY41: $i] :
            ( ~ ~ ( ( SV1 != SY41 )
                  | ~ ( cUnsatisfiable @ SV1 ) )
            | ( cUnsatisfiable @ SY41 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(82,plain,
    ! [SV2: $i] :
      ( ( ! [SY42: $i,SY43: $i] :
            ( ~ ~ ( ( SV2 != SY42 )
                  | ~ ( rr @ SY43 @ SV2 ) )
            | ( rr @ SY43 @ SY42 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(83,plain,
    ! [SV3: $i] :
      ( ( ! [SY44: $i,SY45: $i] :
            ( ~ ~ ( ( SV3 != SY44 )
                  | ~ ( rinvP @ SV3 @ SY45 ) )
            | ( rinvP @ SY44 @ SY45 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(84,plain,
    ! [SV4: $i] :
      ( ( ~ ( cowlThing @ SV4 )
        | ~ ! [SY46: $i] :
              ~ ~ ( ~ ( rp @ SV4 @ SY46 )
                  | ( SY46 != ispy ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(85,plain,
    ! [SV5: $i] :
      ( ( ! [SY47: $i] :
            ( ~ ~ ( ( SV5 != SY47 )
                  | ~ ( cowlNothing @ SV5 ) )
            | ( cowlNothing @ SY47 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[67]) ).

thf(86,plain,
    ! [SV6: $i] :
      ( ( ! [SY48: $i,SY49: $i] :
            ( ~ ~ ( ( SV6 != SY48 )
                  | ~ ( rinvP @ SY49 @ SV6 ) )
            | ( rinvP @ SY49 @ SY48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(87,plain,
    ! [SV7: $i] :
      ( ( ! [SY50: $i] :
            ( ~ ~ ( ( SV7 != SY50 )
                  | ~ ( xsd_string @ SV7 ) )
            | ( xsd_string @ SY50 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(88,plain,
    ! [SV8: $i] :
      ( ( ~ ( ~ ( cowlThing @ SV8 )
            | ~ ~ ( cowlNothing @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[70]) ).

thf(89,plain,
    ! [SV9: $i] :
      ( ( ! [SY51: $i] :
            ( ~ ~ ( ( SV9 != SY51 )
                  | ~ ( cowlThing @ SV9 ) )
            | ( cowlThing @ SY51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[71]) ).

thf(90,plain,
    ! [SV10: $i] :
      ( ( ! [SY52: $i,SY53: $i] :
            ( ~ ~ ( ( SV10 != SY52 )
                  | ~ ( rp @ SV10 @ SY53 ) )
            | ( rp @ SY52 @ SY53 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[72]) ).

thf(91,plain,
    ! [SV11: $i] :
      ( ( ! [SY54: $i] :
            ~ ( ~ ( ~ ( rp @ SV11 @ SY54 )
                  | ( rinvP @ SY54 @ SV11 ) )
              | ~ ( ~ ( rinvP @ SY54 @ SV11 )
                  | ( rp @ SV11 @ SY54 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[73]) ).

thf(92,plain,
    ! [SV12: $i] :
      ( ( ~ ( cUnsatisfiable @ SV12 )
        | ~ ! [SY55: $i] :
              ~ ~ ! [SY56: $i] :
                    ~ ~ ! [SY57: $i] :
                          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ SY55 )
                                                      | ~ ( rr @ SV12 @ SY56 ) )
                                                | ~ ( rr @ SV12 @ SY57 ) )
                                          | ~ ( ( SY55 != SY56 ) ) )
                                    | ~ ( ( SY55 != SY57 ) ) )
                              | ~ ( ( SY56 != SY57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[74]) ).

thf(93,plain,
    ! [SV13: $i] :
      ( ( ! [SY58: $i,SY59: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( rinvP @ ispy @ SV13 )
                        | ~ ( rinvP @ ispy @ SY58 ) )
                  | ~ ( rinvP @ ispy @ SY59 ) )
            | ( SV13 = SY58 )
            | ( SV13 = SY59 )
            | ( SY58 = SY59 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[75]) ).

thf(94,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ( ~ ( xsd_string @ SV14 )
                | ~ ( xsd_integer @ SV14 ) )
            | ~ ( ~ ~ ( xsd_integer @ SV14 )
                | ( xsd_string @ SV14 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[76]) ).

thf(95,plain,
    ! [SV15: $i] :
      ( ( ! [SY60: $i] :
            ( ~ ~ ( ( SV15 != SY60 )
                  | ~ ( xsd_integer @ SV15 ) )
            | ( xsd_integer @ SY60 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(96,plain,
    ! [SV16: $i] :
      ( ( ! [SY61: $i,SY62: $i] :
            ( ~ ~ ( ( SV16 != SY61 )
                  | ~ ( rp @ SY62 @ SV16 ) )
            | ( rp @ SY62 @ SY61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[78]) ).

thf(97,plain,
    ! [SV17: $i] :
      ( ( ! [SY63: $i,SY64: $i] :
            ( ~ ~ ( ( SV17 != SY63 )
                  | ~ ( rr @ SV17 @ SY64 ) )
            | ( rr @ SY63 @ SY64 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[79]) ).

thf(98,plain,
    ! [SV18: $i,SV1: $i] :
      ( ( ~ ~ ( ( SV1 != SV18 )
              | ~ ( cUnsatisfiable @ SV1 ) )
        | ( cUnsatisfiable @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[81]) ).

thf(99,plain,
    ! [SV19: $i,SV2: $i] :
      ( ( ! [SY65: $i] :
            ( ~ ~ ( ( SV2 != SV19 )
                  | ~ ( rr @ SY65 @ SV2 ) )
            | ( rr @ SY65 @ SV19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[82]) ).

thf(100,plain,
    ! [SV20: $i,SV3: $i] :
      ( ( ! [SY66: $i] :
            ( ~ ~ ( ( SV3 != SV20 )
                  | ~ ( rinvP @ SV3 @ SY66 ) )
            | ( rinvP @ SV20 @ SY66 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[83]) ).

thf(101,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( cowlThing @ SV4 ) )
        = $true )
      | ( ( ~ ! [SY46: $i] :
                ~ ~ ( ~ ( rp @ SV4 @ SY46 )
                    | ( SY46 != ispy ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[84]) ).

thf(102,plain,
    ! [SV21: $i,SV5: $i] :
      ( ( ~ ~ ( ( SV5 != SV21 )
              | ~ ( cowlNothing @ SV5 ) )
        | ( cowlNothing @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(103,plain,
    ! [SV22: $i,SV6: $i] :
      ( ( ! [SY67: $i] :
            ( ~ ~ ( ( SV6 != SV22 )
                  | ~ ( rinvP @ SY67 @ SV6 ) )
            | ( rinvP @ SY67 @ SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[86]) ).

thf(104,plain,
    ! [SV23: $i,SV7: $i] :
      ( ( ~ ~ ( ( SV7 != SV23 )
              | ~ ( xsd_string @ SV7 ) )
        | ( xsd_string @ SV23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[87]) ).

thf(105,plain,
    ! [SV8: $i] :
      ( ( ~ ( cowlThing @ SV8 )
        | ~ ~ ( cowlNothing @ SV8 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(106,plain,
    ! [SV24: $i,SV9: $i] :
      ( ( ~ ~ ( ( SV9 != SV24 )
              | ~ ( cowlThing @ SV9 ) )
        | ( cowlThing @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[89]) ).

thf(107,plain,
    ! [SV25: $i,SV10: $i] :
      ( ( ! [SY68: $i] :
            ( ~ ~ ( ( SV10 != SV25 )
                  | ~ ( rp @ SV10 @ SY68 ) )
            | ( rp @ SV25 @ SY68 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(108,plain,
    ! [SV26: $i,SV11: $i] :
      ( ( ~ ( ~ ( ~ ( rp @ SV11 @ SV26 )
                | ( rinvP @ SV26 @ SV11 ) )
            | ~ ( ~ ( rinvP @ SV26 @ SV11 )
                | ( rp @ SV11 @ SV26 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(109,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV12 ) )
        = $true )
      | ( ( ~ ! [SY55: $i] :
                ~ ~ ! [SY56: $i] :
                      ~ ~ ! [SY57: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ SY55 )
                                                        | ~ ( rr @ SV12 @ SY56 ) )
                                                  | ~ ( rr @ SV12 @ SY57 ) )
                                            | ~ ( ( SY55 != SY56 ) ) )
                                      | ~ ( ( SY55 != SY57 ) ) )
                                | ~ ( ( SY56 != SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(110,plain,
    ! [SV27: $i,SV13: $i] :
      ( ( ! [SY69: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( rinvP @ ispy @ SV13 )
                        | ~ ( rinvP @ ispy @ SV27 ) )
                  | ~ ( rinvP @ ispy @ SY69 ) )
            | ( SV13 = SV27 )
            | ( SV13 = SY69 )
            | ( SV27 = SY69 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(111,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ( xsd_string @ SV14 )
            | ~ ( xsd_integer @ SV14 ) )
        | ~ ( ~ ~ ( xsd_integer @ SV14 )
            | ( xsd_string @ SV14 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(112,plain,
    ! [SV28: $i,SV15: $i] :
      ( ( ~ ~ ( ( SV15 != SV28 )
              | ~ ( xsd_integer @ SV15 ) )
        | ( xsd_integer @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(113,plain,
    ! [SV29: $i,SV16: $i] :
      ( ( ! [SY70: $i] :
            ( ~ ~ ( ( SV16 != SV29 )
                  | ~ ( rp @ SY70 @ SV16 ) )
            | ( rp @ SY70 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(114,plain,
    ! [SV30: $i,SV17: $i] :
      ( ( ! [SY71: $i] :
            ( ~ ~ ( ( SV17 != SV30 )
                  | ~ ( rr @ SV17 @ SY71 ) )
            | ( rr @ SV30 @ SY71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(115,plain,
    ! [SV18: $i,SV1: $i] :
      ( ( ( ~ ~ ( ( SV1 != SV18 )
                | ~ ( cUnsatisfiable @ SV1 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(116,plain,
    ! [SV31: $i,SV19: $i,SV2: $i] :
      ( ( ~ ~ ( ( SV2 != SV19 )
              | ~ ( rr @ SV31 @ SV2 ) )
        | ( rr @ SV31 @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(117,plain,
    ! [SV32: $i,SV20: $i,SV3: $i] :
      ( ( ~ ~ ( ( SV3 != SV20 )
              | ~ ( rinvP @ SV3 @ SV32 ) )
        | ( rinvP @ SV20 @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(118,plain,
    ! [SV4: $i] :
      ( ( ( cowlThing @ SV4 )
        = $false )
      | ( ( ~ ! [SY46: $i] :
                ~ ~ ( ~ ( rp @ SV4 @ SY46 )
                    | ( SY46 != ispy ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(119,plain,
    ! [SV21: $i,SV5: $i] :
      ( ( ( ~ ~ ( ( SV5 != SV21 )
                | ~ ( cowlNothing @ SV5 ) ) )
        = $true )
      | ( ( cowlNothing @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[102]) ).

thf(120,plain,
    ! [SV33: $i,SV22: $i,SV6: $i] :
      ( ( ~ ~ ( ( SV6 != SV22 )
              | ~ ( rinvP @ SV33 @ SV6 ) )
        | ( rinvP @ SV33 @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[103]) ).

thf(121,plain,
    ! [SV23: $i,SV7: $i] :
      ( ( ( ~ ~ ( ( SV7 != SV23 )
                | ~ ( xsd_string @ SV7 ) ) )
        = $true )
      | ( ( xsd_string @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[104]) ).

thf(122,plain,
    ! [SV8: $i] :
      ( ( ~ ( cowlThing @ SV8 ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[105]) ).

thf(123,plain,
    ! [SV8: $i] :
      ( ( ~ ~ ( cowlNothing @ SV8 ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[105]) ).

thf(124,plain,
    ! [SV24: $i,SV9: $i] :
      ( ( ( ~ ~ ( ( SV9 != SV24 )
                | ~ ( cowlThing @ SV9 ) ) )
        = $true )
      | ( ( cowlThing @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[106]) ).

thf(125,plain,
    ! [SV34: $i,SV25: $i,SV10: $i] :
      ( ( ~ ~ ( ( SV10 != SV25 )
              | ~ ( rp @ SV10 @ SV34 ) )
        | ( rp @ SV25 @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[107]) ).

thf(126,plain,
    ! [SV26: $i,SV11: $i] :
      ( ( ~ ( ~ ( rp @ SV11 @ SV26 )
            | ( rinvP @ SV26 @ SV11 ) )
        | ~ ( ~ ( rinvP @ SV26 @ SV11 )
            | ( rp @ SV11 @ SV26 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(127,plain,
    ! [SV12: $i] :
      ( ( ( cUnsatisfiable @ SV12 )
        = $false )
      | ( ( ~ ! [SY55: $i] :
                ~ ~ ! [SY56: $i] :
                      ~ ~ ! [SY57: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ SY55 )
                                                        | ~ ( rr @ SV12 @ SY56 ) )
                                                  | ~ ( rr @ SV12 @ SY57 ) )
                                            | ~ ( ( SY55 != SY56 ) ) )
                                      | ~ ( ( SY55 != SY57 ) ) )
                                | ~ ( ( SY56 != SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(128,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( rinvP @ ispy @ SV13 )
                    | ~ ( rinvP @ ispy @ SV27 ) )
              | ~ ( rinvP @ ispy @ SV35 ) )
        | ( SV13 = SV27 )
        | ( SV13 = SV35 )
        | ( SV27 = SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[110]) ).

thf(129,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ( xsd_string @ SV14 )
            | ~ ( xsd_integer @ SV14 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(130,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ~ ( xsd_integer @ SV14 )
            | ( xsd_string @ SV14 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(131,plain,
    ! [SV28: $i,SV15: $i] :
      ( ( ( ~ ~ ( ( SV15 != SV28 )
                | ~ ( xsd_integer @ SV15 ) ) )
        = $true )
      | ( ( xsd_integer @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[112]) ).

thf(132,plain,
    ! [SV36: $i,SV29: $i,SV16: $i] :
      ( ( ~ ~ ( ( SV16 != SV29 )
              | ~ ( rp @ SV36 @ SV16 ) )
        | ( rp @ SV36 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[113]) ).

thf(133,plain,
    ! [SV37: $i,SV30: $i,SV17: $i] :
      ( ( ~ ~ ( ( SV17 != SV30 )
              | ~ ( rr @ SV17 @ SV37 ) )
        | ( rr @ SV30 @ SV37 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[114]) ).

thf(134,plain,
    ! [SV18: $i,SV1: $i] :
      ( ( ( ~ ( ( SV1 != SV18 )
              | ~ ( cUnsatisfiable @ SV1 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(135,plain,
    ! [SV31: $i,SV19: $i,SV2: $i] :
      ( ( ( ~ ~ ( ( SV2 != SV19 )
                | ~ ( rr @ SV31 @ SV2 ) ) )
        = $true )
      | ( ( rr @ SV31 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[116]) ).

thf(136,plain,
    ! [SV32: $i,SV20: $i,SV3: $i] :
      ( ( ( ~ ~ ( ( SV3 != SV20 )
                | ~ ( rinvP @ SV3 @ SV32 ) ) )
        = $true )
      | ( ( rinvP @ SV20 @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[117]) ).

thf(137,plain,
    ! [SV4: $i] :
      ( ( ( ! [SY46: $i] :
              ~ ~ ( ~ ( rp @ SV4 @ SY46 )
                  | ( SY46 != ispy ) ) )
        = $false )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(138,plain,
    ! [SV21: $i,SV5: $i] :
      ( ( ( ~ ( ( SV5 != SV21 )
              | ~ ( cowlNothing @ SV5 ) ) )
        = $false )
      | ( ( cowlNothing @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(139,plain,
    ! [SV33: $i,SV22: $i,SV6: $i] :
      ( ( ( ~ ~ ( ( SV6 != SV22 )
                | ~ ( rinvP @ SV33 @ SV6 ) ) )
        = $true )
      | ( ( rinvP @ SV33 @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[120]) ).

thf(140,plain,
    ! [SV23: $i,SV7: $i] :
      ( ( ( ~ ( ( SV7 != SV23 )
              | ~ ( xsd_string @ SV7 ) ) )
        = $false )
      | ( ( xsd_string @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(141,plain,
    ! [SV8: $i] :
      ( ( cowlThing @ SV8 )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(142,plain,
    ! [SV8: $i] :
      ( ( ~ ( cowlNothing @ SV8 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(143,plain,
    ! [SV24: $i,SV9: $i] :
      ( ( ( ~ ( ( SV9 != SV24 )
              | ~ ( cowlThing @ SV9 ) ) )
        = $false )
      | ( ( cowlThing @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(144,plain,
    ! [SV34: $i,SV25: $i,SV10: $i] :
      ( ( ( ~ ~ ( ( SV10 != SV25 )
                | ~ ( rp @ SV10 @ SV34 ) ) )
        = $true )
      | ( ( rp @ SV25 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[125]) ).

thf(145,plain,
    ! [SV26: $i,SV11: $i] :
      ( ( ~ ( ~ ( rp @ SV11 @ SV26 )
            | ( rinvP @ SV26 @ SV11 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(146,plain,
    ! [SV11: $i,SV26: $i] :
      ( ( ~ ( ~ ( rinvP @ SV26 @ SV11 )
            | ( rp @ SV11 @ SV26 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(147,plain,
    ! [SV12: $i] :
      ( ( ( ! [SY55: $i] :
              ~ ~ ! [SY56: $i] :
                    ~ ~ ! [SY57: $i] :
                          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ SY55 )
                                                      | ~ ( rr @ SV12 @ SY56 ) )
                                                | ~ ( rr @ SV12 @ SY57 ) )
                                          | ~ ( ( SY55 != SY56 ) ) )
                                    | ~ ( ( SY55 != SY57 ) ) )
                              | ~ ( ( SY56 != SY57 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(148,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( rinvP @ ispy @ SV13 )
                      | ~ ( rinvP @ ispy @ SV27 ) )
                | ~ ( rinvP @ ispy @ SV35 ) ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[128]) ).

thf(149,plain,
    ! [SV14: $i] :
      ( ( ~ ( xsd_string @ SV14 )
        | ~ ( xsd_integer @ SV14 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(150,plain,
    ! [SV14: $i] :
      ( ( ~ ~ ( xsd_integer @ SV14 )
        | ( xsd_string @ SV14 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[130]) ).

thf(151,plain,
    ! [SV28: $i,SV15: $i] :
      ( ( ( ~ ( ( SV15 != SV28 )
              | ~ ( xsd_integer @ SV15 ) ) )
        = $false )
      | ( ( xsd_integer @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(152,plain,
    ! [SV36: $i,SV29: $i,SV16: $i] :
      ( ( ( ~ ~ ( ( SV16 != SV29 )
                | ~ ( rp @ SV36 @ SV16 ) ) )
        = $true )
      | ( ( rp @ SV36 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[132]) ).

thf(153,plain,
    ! [SV37: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ~ ( ( SV17 != SV30 )
                | ~ ( rr @ SV17 @ SV37 ) ) )
        = $true )
      | ( ( rr @ SV30 @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[133]) ).

thf(154,plain,
    ! [SV18: $i,SV1: $i] :
      ( ( ( ( SV1 != SV18 )
          | ~ ( cUnsatisfiable @ SV1 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV18 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[134]) ).

thf(155,plain,
    ! [SV31: $i,SV19: $i,SV2: $i] :
      ( ( ( ~ ( ( SV2 != SV19 )
              | ~ ( rr @ SV31 @ SV2 ) ) )
        = $false )
      | ( ( rr @ SV31 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(156,plain,
    ! [SV32: $i,SV20: $i,SV3: $i] :
      ( ( ( ~ ( ( SV3 != SV20 )
              | ~ ( rinvP @ SV3 @ SV32 ) ) )
        = $false )
      | ( ( rinvP @ SV20 @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(157,plain,
    ! [SV4: $i] :
      ( ( ( ~ ~ ( ~ ( rp @ SV4 @ ( sK1_SY46 @ SV4 ) )
                | ( ( sK1_SY46 @ SV4 )
                 != ispy ) ) )
        = $false )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[137]) ).

thf(158,plain,
    ! [SV21: $i,SV5: $i] :
      ( ( ( ( SV5 != SV21 )
          | ~ ( cowlNothing @ SV5 ) )
        = $true )
      | ( ( cowlNothing @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[138]) ).

thf(159,plain,
    ! [SV33: $i,SV22: $i,SV6: $i] :
      ( ( ( ~ ( ( SV6 != SV22 )
              | ~ ( rinvP @ SV33 @ SV6 ) ) )
        = $false )
      | ( ( rinvP @ SV33 @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[139]) ).

thf(160,plain,
    ! [SV23: $i,SV7: $i] :
      ( ( ( ( SV7 != SV23 )
          | ~ ( xsd_string @ SV7 ) )
        = $true )
      | ( ( xsd_string @ SV23 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(161,plain,
    ! [SV8: $i] :
      ( ( cowlNothing @ SV8 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[142]) ).

thf(162,plain,
    ! [SV24: $i,SV9: $i] :
      ( ( ( ( SV9 != SV24 )
          | ~ ( cowlThing @ SV9 ) )
        = $true )
      | ( ( cowlThing @ SV24 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[143]) ).

thf(163,plain,
    ! [SV34: $i,SV25: $i,SV10: $i] :
      ( ( ( ~ ( ( SV10 != SV25 )
              | ~ ( rp @ SV10 @ SV34 ) ) )
        = $false )
      | ( ( rp @ SV25 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(164,plain,
    ! [SV26: $i,SV11: $i] :
      ( ( ~ ( rp @ SV11 @ SV26 )
        | ( rinvP @ SV26 @ SV11 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(165,plain,
    ! [SV11: $i,SV26: $i] :
      ( ( ~ ( rinvP @ SV26 @ SV11 )
        | ( rp @ SV11 @ SV26 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[146]) ).

thf(166,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ! [SY72: $i] :
                  ~ ~ ! [SY73: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                                    | ~ ( rr @ SV12 @ SY72 ) )
                                              | ~ ( rr @ SV12 @ SY73 ) )
                                        | ~ ( ( ( sK2_SY55 @ SV12 )
                                             != SY72 ) ) )
                                  | ~ ( ( ( sK2_SY55 @ SV12 )
                                       != SY73 ) ) )
                            | ~ ( ( SY72 != SY73 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[147]) ).

thf(167,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( rinvP @ ispy @ SV13 )
                    | ~ ( rinvP @ ispy @ SV27 ) )
              | ~ ( rinvP @ ispy @ SV35 ) ) )
        = $false )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(168,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( xsd_string @ SV14 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV14 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[149]) ).

thf(169,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( xsd_integer @ SV14 ) )
        = $true )
      | ( ( xsd_string @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[150]) ).

thf(170,plain,
    ! [SV28: $i,SV15: $i] :
      ( ( ( ( SV15 != SV28 )
          | ~ ( xsd_integer @ SV15 ) )
        = $true )
      | ( ( xsd_integer @ SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[151]) ).

thf(171,plain,
    ! [SV36: $i,SV29: $i,SV16: $i] :
      ( ( ( ~ ( ( SV16 != SV29 )
              | ~ ( rp @ SV36 @ SV16 ) ) )
        = $false )
      | ( ( rp @ SV36 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(172,plain,
    ! [SV37: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( ( SV17 != SV30 )
              | ~ ( rr @ SV17 @ SV37 ) ) )
        = $false )
      | ( ( rr @ SV30 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(173,plain,
    ! [SV18: $i,SV1: $i] :
      ( ( ( SV1 != SV18 )
        = $true )
      | ( ( ~ ( cUnsatisfiable @ SV1 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[154]) ).

thf(174,plain,
    ! [SV31: $i,SV19: $i,SV2: $i] :
      ( ( ( ( SV2 != SV19 )
          | ~ ( rr @ SV31 @ SV2 ) )
        = $true )
      | ( ( rr @ SV31 @ SV19 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[155]) ).

thf(175,plain,
    ! [SV32: $i,SV20: $i,SV3: $i] :
      ( ( ( ( SV3 != SV20 )
          | ~ ( rinvP @ SV3 @ SV32 ) )
        = $true )
      | ( ( rinvP @ SV20 @ SV32 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[156]) ).

thf(176,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ~ ( rp @ SV4 @ ( sK1_SY46 @ SV4 ) )
              | ( ( sK1_SY46 @ SV4 )
               != ispy ) ) )
        = $true )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[157]) ).

thf(177,plain,
    ! [SV21: $i,SV5: $i] :
      ( ( ( SV5 != SV21 )
        = $true )
      | ( ( ~ ( cowlNothing @ SV5 ) )
        = $true )
      | ( ( cowlNothing @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[158]) ).

thf(178,plain,
    ! [SV33: $i,SV22: $i,SV6: $i] :
      ( ( ( ( SV6 != SV22 )
          | ~ ( rinvP @ SV33 @ SV6 ) )
        = $true )
      | ( ( rinvP @ SV33 @ SV22 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[159]) ).

thf(179,plain,
    ! [SV23: $i,SV7: $i] :
      ( ( ( SV7 != SV23 )
        = $true )
      | ( ( ~ ( xsd_string @ SV7 ) )
        = $true )
      | ( ( xsd_string @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[160]) ).

thf(180,plain,
    ! [SV24: $i,SV9: $i] :
      ( ( ( SV9 != SV24 )
        = $true )
      | ( ( ~ ( cowlThing @ SV9 ) )
        = $true )
      | ( ( cowlThing @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[162]) ).

thf(181,plain,
    ! [SV34: $i,SV25: $i,SV10: $i] :
      ( ( ( ( SV10 != SV25 )
          | ~ ( rp @ SV10 @ SV34 ) )
        = $true )
      | ( ( rp @ SV25 @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[163]) ).

thf(182,plain,
    ! [SV26: $i,SV11: $i] :
      ( ( ( ~ ( rp @ SV11 @ SV26 ) )
        = $true )
      | ( ( rinvP @ SV26 @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(183,plain,
    ! [SV11: $i,SV26: $i] :
      ( ( ( ~ ( rinvP @ SV26 @ SV11 ) )
        = $true )
      | ( ( rp @ SV11 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[165]) ).

thf(184,plain,
    ! [SV12: $i] :
      ( ( ( ~ ! [SY72: $i] :
                ~ ~ ! [SY73: $i] :
                      ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                                  | ~ ( rr @ SV12 @ SY72 ) )
                                            | ~ ( rr @ SV12 @ SY73 ) )
                                      | ~ ( ( ( sK2_SY55 @ SV12 )
                                           != SY72 ) ) )
                                | ~ ( ( ( sK2_SY55 @ SV12 )
                                     != SY73 ) ) )
                          | ~ ( ( SY72 != SY73 ) ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[166]) ).

thf(185,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ~ ( ~ ( rinvP @ ispy @ SV13 )
                | ~ ( rinvP @ ispy @ SV27 ) )
          | ~ ( rinvP @ ispy @ SV35 ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[167]) ).

thf(186,plain,
    ! [SV14: $i] :
      ( ( ( xsd_string @ SV14 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV14 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[168]) ).

thf(187,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( xsd_integer @ SV14 ) )
        = $false )
      | ( ( xsd_string @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[169]) ).

thf(188,plain,
    ! [SV28: $i,SV15: $i] :
      ( ( ( SV15 != SV28 )
        = $true )
      | ( ( ~ ( xsd_integer @ SV15 ) )
        = $true )
      | ( ( xsd_integer @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(189,plain,
    ! [SV36: $i,SV29: $i,SV16: $i] :
      ( ( ( ( SV16 != SV29 )
          | ~ ( rp @ SV36 @ SV16 ) )
        = $true )
      | ( ( rp @ SV36 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[171]) ).

thf(190,plain,
    ! [SV37: $i,SV30: $i,SV17: $i] :
      ( ( ( ( SV17 != SV30 )
          | ~ ( rr @ SV17 @ SV37 ) )
        = $true )
      | ( ( rr @ SV30 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[172]) ).

thf(191,plain,
    ! [SV18: $i,SV1: $i] :
      ( ( ( SV1 = SV18 )
        = $false )
      | ( ( ~ ( cUnsatisfiable @ SV1 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(192,plain,
    ! [SV31: $i,SV19: $i,SV2: $i] :
      ( ( ( SV2 != SV19 )
        = $true )
      | ( ( ~ ( rr @ SV31 @ SV2 ) )
        = $true )
      | ( ( rr @ SV31 @ SV19 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(193,plain,
    ! [SV32: $i,SV20: $i,SV3: $i] :
      ( ( ( SV3 != SV20 )
        = $true )
      | ( ( ~ ( rinvP @ SV3 @ SV32 ) )
        = $true )
      | ( ( rinvP @ SV20 @ SV32 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(194,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rp @ SV4 @ ( sK1_SY46 @ SV4 ) )
          | ( ( sK1_SY46 @ SV4 )
           != ispy ) )
        = $false )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[176]) ).

thf(195,plain,
    ! [SV21: $i,SV5: $i] :
      ( ( ( SV5 = SV21 )
        = $false )
      | ( ( ~ ( cowlNothing @ SV5 ) )
        = $true )
      | ( ( cowlNothing @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[177]) ).

thf(196,plain,
    ! [SV33: $i,SV22: $i,SV6: $i] :
      ( ( ( SV6 != SV22 )
        = $true )
      | ( ( ~ ( rinvP @ SV33 @ SV6 ) )
        = $true )
      | ( ( rinvP @ SV33 @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[178]) ).

thf(197,plain,
    ! [SV23: $i,SV7: $i] :
      ( ( ( SV7 = SV23 )
        = $false )
      | ( ( ~ ( xsd_string @ SV7 ) )
        = $true )
      | ( ( xsd_string @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[179]) ).

thf(198,plain,
    ! [SV24: $i,SV9: $i] :
      ( ( ( SV9 = SV24 )
        = $false )
      | ( ( ~ ( cowlThing @ SV9 ) )
        = $true )
      | ( ( cowlThing @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(199,plain,
    ! [SV34: $i,SV25: $i,SV10: $i] :
      ( ( ( SV10 != SV25 )
        = $true )
      | ( ( ~ ( rp @ SV10 @ SV34 ) )
        = $true )
      | ( ( rp @ SV25 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(200,plain,
    ! [SV26: $i,SV11: $i] :
      ( ( ( rp @ SV11 @ SV26 )
        = $false )
      | ( ( rinvP @ SV26 @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(201,plain,
    ! [SV11: $i,SV26: $i] :
      ( ( ( rinvP @ SV26 @ SV11 )
        = $false )
      | ( ( rp @ SV11 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(202,plain,
    ! [SV12: $i] :
      ( ( ( ! [SY72: $i] :
              ~ ~ ! [SY73: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                                | ~ ( rr @ SV12 @ SY72 ) )
                                          | ~ ( rr @ SV12 @ SY73 ) )
                                    | ~ ( ( ( sK2_SY55 @ SV12 )
                                         != SY72 ) ) )
                              | ~ ( ( ( sK2_SY55 @ SV12 )
                                   != SY73 ) ) )
                        | ~ ( ( SY72 != SY73 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(203,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ~ ( ~ ( rinvP @ ispy @ SV13 )
                | ~ ( rinvP @ ispy @ SV27 ) ) )
        = $true )
      | ( ( ~ ( rinvP @ ispy @ SV35 ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[185]) ).

thf(204,plain,
    ! [SV14: $i] :
      ( ( ( xsd_integer @ SV14 )
        = $false )
      | ( ( xsd_string @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(205,plain,
    ! [SV14: $i] :
      ( ( ( xsd_integer @ SV14 )
        = $true )
      | ( ( xsd_string @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[187]) ).

thf(206,plain,
    ! [SV28: $i,SV15: $i] :
      ( ( ( SV15 = SV28 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV15 ) )
        = $true )
      | ( ( xsd_integer @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(207,plain,
    ! [SV36: $i,SV29: $i,SV16: $i] :
      ( ( ( SV16 != SV29 )
        = $true )
      | ( ( ~ ( rp @ SV36 @ SV16 ) )
        = $true )
      | ( ( rp @ SV36 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(208,plain,
    ! [SV37: $i,SV30: $i,SV17: $i] :
      ( ( ( SV17 != SV30 )
        = $true )
      | ( ( ~ ( rr @ SV17 @ SV37 ) )
        = $true )
      | ( ( rr @ SV30 @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[190]) ).

thf(209,plain,
    ! [SV18: $i,SV1: $i] :
      ( ( ( cUnsatisfiable @ SV1 )
        = $false )
      | ( ( SV1 = SV18 )
        = $false )
      | ( ( cUnsatisfiable @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(210,plain,
    ! [SV31: $i,SV19: $i,SV2: $i] :
      ( ( ( SV2 = SV19 )
        = $false )
      | ( ( ~ ( rr @ SV31 @ SV2 ) )
        = $true )
      | ( ( rr @ SV31 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[192]) ).

thf(211,plain,
    ! [SV32: $i,SV20: $i,SV3: $i] :
      ( ( ( SV3 = SV20 )
        = $false )
      | ( ( ~ ( rinvP @ SV3 @ SV32 ) )
        = $true )
      | ( ( rinvP @ SV20 @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(212,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( rp @ SV4 @ ( sK1_SY46 @ SV4 ) ) )
        = $false )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(213,plain,
    ! [SV4: $i] :
      ( ( ( ( sK1_SY46 @ SV4 )
         != ispy )
        = $false )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(214,plain,
    ! [SV21: $i,SV5: $i] :
      ( ( ( cowlNothing @ SV5 )
        = $false )
      | ( ( SV5 = SV21 )
        = $false )
      | ( ( cowlNothing @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[195]) ).

thf(215,plain,
    ! [SV33: $i,SV22: $i,SV6: $i] :
      ( ( ( SV6 = SV22 )
        = $false )
      | ( ( ~ ( rinvP @ SV33 @ SV6 ) )
        = $true )
      | ( ( rinvP @ SV33 @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(216,plain,
    ! [SV23: $i,SV7: $i] :
      ( ( ( xsd_string @ SV7 )
        = $false )
      | ( ( SV7 = SV23 )
        = $false )
      | ( ( xsd_string @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(217,plain,
    ! [SV24: $i,SV9: $i] :
      ( ( ( cowlThing @ SV9 )
        = $false )
      | ( ( SV9 = SV24 )
        = $false )
      | ( ( cowlThing @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(218,plain,
    ! [SV34: $i,SV25: $i,SV10: $i] :
      ( ( ( SV10 = SV25 )
        = $false )
      | ( ( ~ ( rp @ SV10 @ SV34 ) )
        = $true )
      | ( ( rp @ SV25 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(219,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ! [SY74: $i] :
                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                              | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                                        | ~ ( rr @ SV12 @ SY74 ) )
                                  | ~ ( ( ( sK2_SY55 @ SV12 )
                                       != ( sK3_SY72 @ SV12 ) ) ) )
                            | ~ ( ( ( sK2_SY55 @ SV12 )
                                 != SY74 ) ) )
                      | ~ ( ( ( sK3_SY72 @ SV12 )
                           != SY74 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[202]) ).

thf(220,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ( ~ ( rinvP @ ispy @ SV13 )
              | ~ ( rinvP @ ispy @ SV27 ) ) )
        = $false )
      | ( ( ~ ( rinvP @ ispy @ SV35 ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[203]) ).

thf(221,plain,
    ! [SV28: $i,SV15: $i] :
      ( ( ( xsd_integer @ SV15 )
        = $false )
      | ( ( SV15 = SV28 )
        = $false )
      | ( ( xsd_integer @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(222,plain,
    ! [SV36: $i,SV29: $i,SV16: $i] :
      ( ( ( SV16 = SV29 )
        = $false )
      | ( ( ~ ( rp @ SV36 @ SV16 ) )
        = $true )
      | ( ( rp @ SV36 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(223,plain,
    ! [SV37: $i,SV30: $i,SV17: $i] :
      ( ( ( SV17 = SV30 )
        = $false )
      | ( ( ~ ( rr @ SV17 @ SV37 ) )
        = $true )
      | ( ( rr @ SV30 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(224,plain,
    ! [SV19: $i,SV2: $i,SV31: $i] :
      ( ( ( rr @ SV31 @ SV2 )
        = $false )
      | ( ( SV2 = SV19 )
        = $false )
      | ( ( rr @ SV31 @ SV19 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(225,plain,
    ! [SV20: $i,SV32: $i,SV3: $i] :
      ( ( ( rinvP @ SV3 @ SV32 )
        = $false )
      | ( ( SV3 = SV20 )
        = $false )
      | ( ( rinvP @ SV20 @ SV32 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(226,plain,
    ! [SV4: $i] :
      ( ( ( rp @ SV4 @ ( sK1_SY46 @ SV4 ) )
        = $true )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[212]) ).

thf(227,plain,
    ! [SV4: $i] :
      ( ( ( ( sK1_SY46 @ SV4 )
          = ispy )
        = $true )
      | ( ( cowlThing @ SV4 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(228,plain,
    ! [SV22: $i,SV6: $i,SV33: $i] :
      ( ( ( rinvP @ SV33 @ SV6 )
        = $false )
      | ( ( SV6 = SV22 )
        = $false )
      | ( ( rinvP @ SV33 @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(229,plain,
    ! [SV25: $i,SV34: $i,SV10: $i] :
      ( ( ( rp @ SV10 @ SV34 )
        = $false )
      | ( ( SV10 = SV25 )
        = $false )
      | ( ( rp @ SV25 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(230,plain,
    ! [SV12: $i] :
      ( ( ( ~ ! [SY74: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                            | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                                      | ~ ( rr @ SV12 @ SY74 ) )
                                | ~ ( ( ( sK2_SY55 @ SV12 )
                                     != ( sK3_SY72 @ SV12 ) ) ) )
                          | ~ ( ( ( sK2_SY55 @ SV12 )
                               != SY74 ) ) )
                    | ~ ( ( ( sK3_SY72 @ SV12 )
                         != SY74 ) ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[219]) ).

thf(231,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ( rinvP @ ispy @ SV13 )
          | ~ ( rinvP @ ispy @ SV27 ) )
        = $true )
      | ( ( ~ ( rinvP @ ispy @ SV35 ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[220]) ).

thf(232,plain,
    ! [SV29: $i,SV16: $i,SV36: $i] :
      ( ( ( rp @ SV36 @ SV16 )
        = $false )
      | ( ( SV16 = SV29 )
        = $false )
      | ( ( rp @ SV36 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(233,plain,
    ! [SV30: $i,SV37: $i,SV17: $i] :
      ( ( ( rr @ SV17 @ SV37 )
        = $false )
      | ( ( SV17 = SV30 )
        = $false )
      | ( ( rr @ SV30 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[223]) ).

thf(234,plain,
    ! [SV12: $i] :
      ( ( ( ! [SY74: $i] :
              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                          | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                                    | ~ ( rr @ SV12 @ SY74 ) )
                              | ~ ( ( ( sK2_SY55 @ SV12 )
                                   != ( sK3_SY72 @ SV12 ) ) ) )
                        | ~ ( ( ( sK2_SY55 @ SV12 )
                             != SY74 ) ) )
                  | ~ ( ( ( sK3_SY72 @ SV12 )
                       != SY74 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(235,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ~ ( rinvP @ ispy @ SV13 ) )
        = $true )
      | ( ( ~ ( rinvP @ ispy @ SV27 ) )
        = $true )
      | ( ( ~ ( rinvP @ ispy @ SV35 ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[231]) ).

thf(236,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                        | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                                  | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
                            | ~ ( ( ( sK2_SY55 @ SV12 )
                                 != ( sK3_SY72 @ SV12 ) ) ) )
                      | ~ ( ( ( sK2_SY55 @ SV12 )
                           != ( sK4_SY74 @ SV12 ) ) ) )
                | ~ ( ( ( sK3_SY72 @ SV12 )
                     != ( sK4_SY74 @ SV12 ) ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[234]) ).

thf(237,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( rinvP @ ispy @ SV13 )
        = $false )
      | ( ( ~ ( rinvP @ ispy @ SV27 ) )
        = $true )
      | ( ( ~ ( rinvP @ ispy @ SV35 ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(238,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                      | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                                | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
                          | ~ ( ( ( sK2_SY55 @ SV12 )
                               != ( sK3_SY72 @ SV12 ) ) ) )
                    | ~ ( ( ( sK2_SY55 @ SV12 )
                         != ( sK4_SY74 @ SV12 ) ) ) )
              | ~ ( ( ( sK3_SY72 @ SV12 )
                   != ( sK4_SY74 @ SV12 ) ) ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[236]) ).

thf(239,plain,
    ! [SV35: $i,SV13: $i,SV27: $i] :
      ( ( ( rinvP @ ispy @ SV27 )
        = $false )
      | ( ( rinvP @ ispy @ SV13 )
        = $false )
      | ( ( ~ ( rinvP @ ispy @ SV35 ) )
        = $true )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(240,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                  | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                            | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
                      | ~ ( ( ( sK2_SY55 @ SV12 )
                           != ( sK3_SY72 @ SV12 ) ) ) )
                | ~ ( ( ( sK2_SY55 @ SV12 )
                     != ( sK4_SY74 @ SV12 ) ) ) )
          | ~ ( ( ( sK3_SY72 @ SV12 )
               != ( sK4_SY74 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(241,plain,
    ! [SV27: $i,SV13: $i,SV35: $i] :
      ( ( ( rinvP @ ispy @ SV35 )
        = $false )
      | ( ( rinvP @ ispy @ SV13 )
        = $false )
      | ( ( rinvP @ ispy @ SV27 )
        = $false )
      | ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 )
          | ( SV27 = SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(242,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                  | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                            | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
                      | ~ ( ( ( sK2_SY55 @ SV12 )
                           != ( sK3_SY72 @ SV12 ) ) ) )
                | ~ ( ( ( sK2_SY55 @ SV12 )
                     != ( sK4_SY74 @ SV12 ) ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[240]) ).

thf(243,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ( ( sK3_SY72 @ SV12 )
               != ( sK4_SY74 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[240]) ).

thf(244,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( ( SV13 = SV27 )
          | ( SV13 = SV35 ) )
        = $true )
      | ( ( SV27 = SV35 )
        = $true )
      | ( ( rinvP @ ispy @ SV27 )
        = $false )
      | ( ( rinvP @ ispy @ SV13 )
        = $false )
      | ( ( rinvP @ ispy @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[241]) ).

thf(245,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                                | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                          | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
                    | ~ ( ( ( sK2_SY55 @ SV12 )
                         != ( sK3_SY72 @ SV12 ) ) ) )
              | ~ ( ( ( sK2_SY55 @ SV12 )
                   != ( sK4_SY74 @ SV12 ) ) ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(246,plain,
    ! [SV12: $i] :
      ( ( ( ( sK3_SY72 @ SV12 )
         != ( sK4_SY74 @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[243]) ).

thf(247,plain,
    ! [SV35: $i,SV27: $i,SV13: $i] :
      ( ( ( SV13 = SV27 )
        = $true )
      | ( ( SV13 = SV35 )
        = $true )
      | ( ( SV27 = SV35 )
        = $true )
      | ( ( rinvP @ ispy @ SV27 )
        = $false )
      | ( ( rinvP @ ispy @ SV13 )
        = $false )
      | ( ( rinvP @ ispy @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[244]) ).

thf(248,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                            | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                      | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
                | ~ ( ( ( sK2_SY55 @ SV12 )
                     != ( sK3_SY72 @ SV12 ) ) ) )
          | ~ ( ( ( sK2_SY55 @ SV12 )
               != ( sK4_SY74 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[245]) ).

thf(249,plain,
    ! [SV12: $i] :
      ( ( ( ( sK3_SY72 @ SV12 )
          = ( sK4_SY74 @ SV12 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(250,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                            | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                      | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
                | ~ ( ( ( sK2_SY55 @ SV12 )
                     != ( sK3_SY72 @ SV12 ) ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[248]) ).

thf(251,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ( ( sK2_SY55 @ SV12 )
               != ( sK4_SY74 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[248]) ).

thf(252,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                          | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                    | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
              | ~ ( ( ( sK2_SY55 @ SV12 )
                   != ( sK3_SY72 @ SV12 ) ) ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[250]) ).

thf(253,plain,
    ! [SV12: $i] :
      ( ( ( ( sK2_SY55 @ SV12 )
         != ( sK4_SY74 @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[251]) ).

thf(254,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                      | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
          | ~ ( ( ( sK2_SY55 @ SV12 )
               != ( sK3_SY72 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[252]) ).

thf(255,plain,
    ! [SV12: $i] :
      ( ( ( ( sK2_SY55 @ SV12 )
          = ( sK4_SY74 @ SV12 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[253]) ).

thf(256,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                      | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
                | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(257,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ( ( sK2_SY55 @ SV12 )
               != ( sK3_SY72 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(258,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                    | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
              | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[256]) ).

thf(259,plain,
    ! [SV12: $i] :
      ( ( ( ( sK2_SY55 @ SV12 )
         != ( sK3_SY72 @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[257]) ).

thf(260,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
          | ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[258]) ).

thf(261,plain,
    ! [SV12: $i] :
      ( ( ( ( sK2_SY55 @ SV12 )
          = ( sK3_SY72 @ SV12 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(262,plain,
    ! [SV12: $i] :
      ( ( ( ~ ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
                | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(263,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(264,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
              | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[262]) ).

thf(265,plain,
    ! [SV12: $i] :
      ( ( ( rr @ SV12 @ ( sK4_SY74 @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[263]) ).

thf(266,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
          | ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(267,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[266]) ).

thf(268,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[266]) ).

thf(269,plain,
    ! [SV12: $i] :
      ( ( ( rr @ SV12 @ ( sK2_SY55 @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[267]) ).

thf(270,plain,
    ! [SV12: $i] :
      ( ( ( rr @ SV12 @ ( sK3_SY72 @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[268]) ).

thf(271,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[60,270,269,265,261,255,249,247,233,232,229,228,227,226,225,224,221,217,216,214,209,205,204,201,200,161,141,80,61]) ).

thf(272,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[271]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17  % Computer : n006.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Oct  6 11:41:07 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.28  
% 0.44/0.28   No.of.Axioms: 19
% 0.44/0.28  
% 0.44/0.28   Length.of.Defs: 0
% 0.44/0.28  
% 0.44/0.28   Contains.Choice.Funs: false
% 0.44/0.28  .......
% 0.44/0.28  
% 0.44/0.28  ********************************
% 0.44/0.28  *   All subproblems solved!    *
% 0.44/0.28  ********************************
% 0.44/0.28  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:271,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.44/0.28  
% 0.44/0.28  %**** Beginning of derivation protocol ****
% 0.44/0.28  % SZS output start CNFRefutation
% See solution above
% 0.44/0.28  
% 0.44/0.28  %**** End of derivation protocol ****
% 0.44/0.28  %**** no. of clauses in derivation: 272 ****
% 0.44/0.28  %**** clause counter: 271 ****
% 0.44/0.28  
% 0.44/0.28  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:271,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------