TSTP Solution File: KRS092+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : KRS092+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 : n028.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 03:14:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  148 (  71 unt;  15 typ;   0 def)
%            Number of atoms       :  847 ( 210 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives : 1214 ( 321   ~; 256   |;  22   &; 599   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;   3 con; 0-2 aty)
%            Number of variables   :  206 (   0   ^ 204   !;   2   ?; 206   :)

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

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

thf(tp_cc1,type,
    cc1: $i > $o ).

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

thf(tp_cd1,type,
    cd1: $i > $o ).

thf(tp_ce3,type,
    ce3: $i > $o ).

thf(tp_cf,type,
    cf: $i > $o ).

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

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

thf(tp_i2003_11_14_17_20_04172,type,
    i2003_11_14_17_20_04172: $i ).

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

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

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

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

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

thf(1,axiom,
    cUnsatisfiable @ i2003_11_14_17_20_04172,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

thf(2,axiom,
    ! [X: $i] :
      ( ( cf @ X )
     => ( cd @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

thf(3,axiom,
    ! [X: $i] :
      ( ( ce3 @ X )
     => ( cc @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

thf(4,axiom,
    ! [X: $i] :
      ( ( cc1 @ X )
     => ~ ( cd1 @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

thf(5,axiom,
    ! [X: $i] :
      ( ( cc1 @ X )
     => ( cd1 @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

thf(6,axiom,
    ! [X: $i] :
      ( ( cc @ X )
     => ~ ( cd @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

thf(7,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( rr @ X @ Y )
            & ( cowlThing @ Y ) )
        & ! [Y: $i] :
            ( ( rr @ X @ Y )
           => ( ( cd @ Y )
              & ( cc @ Y ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

thf(8,axiom,
    ! [X: $i] :
      ( ( xsd_string @ X )
    <=> ~ ( xsd_integer @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

thf(9,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
      & ~ ( cowlNothing @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

thf(10,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(11,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[10]) ).

thf(12,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[11]) ).

thf(13,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_20_04172 )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(14,plain,
    ( ( ! [X: $i] :
          ( ( cf @ X )
         => ( cd @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(15,plain,
    ( ( ! [X: $i] :
          ( ( ce3 @ X )
         => ( cc @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(16,plain,
    ( ( ! [X: $i] :
          ( ( cc1 @ X )
         => ~ ( cd1 @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(17,plain,
    ( ( ! [X: $i] :
          ( ( cc1 @ X )
         => ( cd1 @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(18,plain,
    ( ( ! [X: $i] :
          ( ( cc @ X )
         => ~ ( cd @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(19,plain,
    ( ( ! [X: $i] :
          ( ( cUnsatisfiable @ X )
        <=> ( ? [Y: $i] :
                ( ( rr @ X @ Y )
                & ( cowlThing @ Y ) )
            & ! [Y: $i] :
                ( ( rr @ X @ Y )
               => ( ( cd @ Y )
                  & ( cc @ Y ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(20,plain,
    ( ( ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(21,plain,
    ( ( ! [X: $i] :
          ( ( cowlThing @ X )
          & ~ ( cowlNothing @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(22,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[12]) ).

thf(23,plain,
    ( ( ! [X: $i] :
          ( ~ ( cf @ X )
          | ( cd @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[14]) ).

thf(24,plain,
    ( ( ! [X: $i] :
          ( ~ ( ce3 @ X )
          | ( cc @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[15]) ).

thf(25,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc1 @ X )
          | ~ ( cd1 @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[16]) ).

thf(26,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc1 @ X )
          | ( cd1 @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[17]) ).

thf(27,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc @ X )
          | ~ ( cd @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(28,plain,
    ( ( ! [X: $i] :
          ( ( ( rr @ X @ ( sK2_Y @ X ) )
            & ( ~ ( cc @ ( sK2_Y @ X ) )
              | ~ ( cd @ ( sK2_Y @ X ) ) ) )
          | ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rr @ X @ Y ) )
          | ( cUnsatisfiable @ X ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ! [Y: $i] :
                ( ~ ( rr @ X @ Y )
                | ( cc @ Y ) )
            & ! [Y: $i] :
                ( ~ ( rr @ X @ Y )
                | ( cd @ Y ) ) ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ( cowlThing @ ( sK1_Y @ X ) )
            & ( rr @ X @ ( sK1_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(29,plain,
    ( ( ! [X: $i] :
          ( ~ ( xsd_string @ X )
          | ~ ( xsd_integer @ X ) )
      & ! [X: $i] :
          ( ( xsd_integer @ X )
          | ( xsd_string @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(30,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(31,plain,
    ( ( ! [X: $i] : ( cowlThing @ X )
      & ! [X: $i] :
          ~ ( cowlNothing @ X ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

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

thf(33,plain,
    ( ( ! [X: $i] :
          ( ( ( rr @ X @ ( sK2_Y @ X ) )
            & ( ~ ( cc @ ( sK2_Y @ X ) )
              | ~ ( cd @ ( sK2_Y @ X ) ) ) )
          | ! [Y: $i] :
              ( ~ ( cowlThing @ Y )
              | ~ ( rr @ X @ Y ) )
          | ( cUnsatisfiable @ X ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ! [Y: $i] :
                ( ~ ( rr @ X @ Y )
                | ( cc @ Y ) )
            & ! [Y: $i] :
                ( ~ ( rr @ X @ Y )
                | ( cd @ Y ) ) ) )
      & ! [X: $i] :
          ( ~ ( cUnsatisfiable @ X )
          | ( ( cowlThing @ ( sK1_Y @ X ) )
            & ( rr @ X @ ( sK1_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(34,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc @ X )
          | ~ ( cd @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(35,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc1 @ X )
          | ( cd1 @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(36,plain,
    ( ( ! [X: $i] :
          ( ~ ( cc1 @ X )
          | ~ ( cd1 @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(37,plain,
    ( ( ! [X: $i] :
          ( ~ ( ce3 @ X )
          | ( cc @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(38,plain,
    ( ( ! [X: $i] :
          ( ~ ( cf @ X )
          | ( cd @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(39,plain,
    ( ( cUnsatisfiable @ i2003_11_14_17_20_04172 )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(40,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(41,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) )
                    | ~ ( ~ ( cc @ ( sK2_Y @ SX0 ) )
                        | ~ ( cd @ ( sK2_Y @ SX0 ) ) ) )
                | ! [SX1: $i] :
                    ( ~ ( cowlThing @ SX1 )
                    | ~ ( rr @ SX0 @ SX1 ) )
                | ( cUnsatisfiable @ SX0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( cUnsatisfiable @ SX0 )
                      | ~ ( ~ ! [SX1: $i] :
                                ( ~ ( rr @ SX0 @ SX1 )
                                | ( cc @ SX1 ) )
                          | ~ ! [SX1: $i] :
                                ( ~ ( rr @ SX0 @ SX1 )
                                | ( cd @ SX1 ) ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( cUnsatisfiable @ SX0 )
                      | ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
                          | ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(42,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
          | ~ ! [SX0: $i] :
                ~ ( cowlNothing @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(43,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( xsd_string @ SX0 )
                | ~ ( xsd_integer @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( xsd_integer @ SX0 )
                | ( xsd_string @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(44,plain,
    ! [SV1: $i] :
      ( ( ~ ( cc @ SV1 )
        | ~ ( cd @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[34]) ).

thf(45,plain,
    ! [SV2: $i] :
      ( ( ~ ( cc1 @ SV2 )
        | ( cd1 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

thf(46,plain,
    ! [SV3: $i] :
      ( ( ~ ( cc1 @ SV3 )
        | ~ ( cd1 @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[36]) ).

thf(47,plain,
    ! [SV4: $i] :
      ( ( ~ ( ce3 @ SV4 )
        | ( cc @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(48,plain,
    ! [SV5: $i] :
      ( ( ~ ( cf @ SV5 )
        | ( cd @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(49,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[40]) ).

thf(50,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) )
                | ~ ( ~ ( cc @ ( sK2_Y @ SX0 ) )
                    | ~ ( cd @ ( sK2_Y @ SX0 ) ) ) )
            | ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ( cUnsatisfiable @ SX0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ~ ( ~ ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cc @ SX1 ) )
                      | ~ ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cd @ SX1 ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
                      | ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(51,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
      | ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(52,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(53,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( cc @ SV1 ) )
        = $true )
      | ( ( ~ ( cd @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[44]) ).

thf(54,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( cc1 @ SV2 ) )
        = $true )
      | ( ( cd1 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[45]) ).

thf(55,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( cc1 @ SV3 ) )
        = $true )
      | ( ( ~ ( cd1 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(56,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( ce3 @ SV4 ) )
        = $true )
      | ( ( cc @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[47]) ).

thf(57,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( cf @ SV5 ) )
        = $true )
      | ( ( cd @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(58,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) )
                | ~ ( ~ ( cc @ ( sK2_Y @ SX0 ) )
                    | ~ ( cd @ ( sK2_Y @ SX0 ) ) ) )
            | ! [SX1: $i] :
                ( ~ ( cowlThing @ SX1 )
                | ~ ( rr @ SX0 @ SX1 ) )
            | ( cUnsatisfiable @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[50]) ).

thf(59,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ~ ( ~ ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cc @ SX1 ) )
                      | ~ ! [SX1: $i] :
                            ( ~ ( rr @ SX0 @ SX1 )
                            | ( cd @ SX1 ) ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( cUnsatisfiable @ SX0 )
                  | ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
                      | ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[50]) ).

thf(60,plain,
    ( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[51]) ).

thf(61,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ( cowlNothing @ SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[51]) ).

thf(62,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( xsd_string @ SX0 )
            | ~ ( xsd_integer @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(63,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( xsd_integer @ SX0 )
            | ( xsd_string @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(64,plain,
    ! [SV1: $i] :
      ( ( ( cc @ SV1 )
        = $false )
      | ( ( ~ ( cd @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(65,plain,
    ! [SV2: $i] :
      ( ( ( cc1 @ SV2 )
        = $false )
      | ( ( cd1 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(66,plain,
    ! [SV3: $i] :
      ( ( ( cc1 @ SV3 )
        = $false )
      | ( ( ~ ( cd1 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(67,plain,
    ! [SV4: $i] :
      ( ( ( ce3 @ SV4 )
        = $false )
      | ( ( cc @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(68,plain,
    ! [SV5: $i] :
      ( ( ( cf @ SV5 )
        = $false )
      | ( ( cd @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(69,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) )
              | ~ ( ~ ( cc @ ( sK2_Y @ SX0 ) )
                  | ~ ( cd @ ( sK2_Y @ SX0 ) ) ) )
          | ! [SX1: $i] :
              ( ~ ( cowlThing @ SX1 )
              | ~ ( rr @ SX0 @ SX1 ) )
          | ( cUnsatisfiable @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(70,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( cUnsatisfiable @ SX0 )
                | ~ ( ~ ! [SX1: $i] :
                          ( ~ ( rr @ SX0 @ SX1 )
                          | ( cc @ SX1 ) )
                    | ~ ! [SX1: $i] :
                          ( ~ ( rr @ SX0 @ SX1 )
                          | ( cd @ SX1 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( cUnsatisfiable @ SX0 )
                | ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
                    | ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[59]) ).

thf(71,plain,
    ( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[60]) ).

thf(72,plain,
    ( ( ! [SX0: $i] :
          ~ ( cowlNothing @ SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[61]) ).

thf(73,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( xsd_string @ SX0 )
          | ~ ( xsd_integer @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[62]) ).

thf(74,plain,
    ( ( ! [SX0: $i] :
          ( ( xsd_integer @ SX0 )
          | ( xsd_string @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[63]) ).

thf(75,plain,
    ! [SV1: $i] :
      ( ( ( cd @ SV1 )
        = $false )
      | ( ( cc @ SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(76,plain,
    ! [SV3: $i] :
      ( ( ( cd1 @ SV3 )
        = $false )
      | ( ( cc1 @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(77,plain,
    ! [SV6: $i] :
      ( ( ~ ( ~ ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
            | ~ ( ~ ( cc @ ( sK2_Y @ SV6 ) )
                | ~ ( cd @ ( sK2_Y @ SV6 ) ) ) )
        | ! [SY10: $i] :
            ( ~ ( cowlThing @ SY10 )
            | ~ ( rr @ SV6 @ SY10 ) )
        | ( cUnsatisfiable @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(78,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ~ ( ~ ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cc @ SX1 ) )
                | ~ ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cd @ SX1 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(79,plain,
    ! [SV7: $i] :
      ( ( cowlThing @ SV7 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[71]) ).

thf(80,plain,
    ! [SV8: $i] :
      ( ( ~ ( cowlNothing @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[72]) ).

thf(81,plain,
    ! [SV9: $i] :
      ( ( ~ ( xsd_string @ SV9 )
        | ~ ( xsd_integer @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[73]) ).

thf(82,plain,
    ! [SV10: $i] :
      ( ( ( xsd_integer @ SV10 )
        | ( xsd_string @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[74]) ).

thf(83,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ~ ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
              | ~ ( ~ ( cc @ ( sK2_Y @ SV6 ) )
                  | ~ ( cd @ ( sK2_Y @ SV6 ) ) ) )
          | ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(84,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ~ ( ~ ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cc @ SX1 ) )
                | ~ ! [SX1: $i] :
                      ( ~ ( rr @ SX0 @ SX1 )
                      | ( cd @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(85,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( cUnsatisfiable @ SX0 )
            | ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
                | ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(86,plain,
    ! [SV8: $i] :
      ( ( cowlNothing @ SV8 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(87,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( xsd_string @ SV9 ) )
        = $true )
      | ( ( ~ ( xsd_integer @ SV9 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(88,plain,
    ! [SV10: $i] :
      ( ( ( xsd_integer @ SV10 )
        = $true )
      | ( ( xsd_string @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(89,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ~ ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
              | ~ ( ~ ( cc @ ( sK2_Y @ SV6 ) )
                  | ~ ( cd @ ( sK2_Y @ SV6 ) ) ) ) )
        = $true )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[83]) ).

thf(90,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cUnsatisfiable @ SX0 )
          | ~ ( ~ ! [SX1: $i] :
                    ( ~ ( rr @ SX0 @ SX1 )
                    | ( cc @ SX1 ) )
              | ~ ! [SX1: $i] :
                    ( ~ ( rr @ SX0 @ SX1 )
                    | ( cd @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(91,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( cUnsatisfiable @ SX0 )
          | ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
              | ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(92,plain,
    ! [SV9: $i] :
      ( ( ( xsd_string @ SV9 )
        = $false )
      | ( ( ~ ( xsd_integer @ SV9 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(93,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
          | ~ ( ~ ( cc @ ( sK2_Y @ SV6 ) )
              | ~ ( cd @ ( sK2_Y @ SV6 ) ) ) )
        = $false )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(94,plain,
    ! [SV11: $i] :
      ( ( ~ ( cUnsatisfiable @ SV11 )
        | ~ ( ~ ! [SY11: $i] :
                  ( ~ ( rr @ SV11 @ SY11 )
                  | ( cc @ SY11 ) )
            | ~ ! [SY12: $i] :
                  ( ~ ( rr @ SV11 @ SY12 )
                  | ( cd @ SY12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(95,plain,
    ! [SV12: $i] :
      ( ( ~ ( cUnsatisfiable @ SV12 )
        | ~ ( ~ ( cowlThing @ ( sK1_Y @ SV12 ) )
            | ~ ( rr @ SV12 @ ( sK1_Y @ SV12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(96,plain,
    ! [SV9: $i] :
      ( ( ( xsd_integer @ SV9 )
        = $false )
      | ( ( xsd_string @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(97,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( rr @ SV6 @ ( sK2_Y @ SV6 ) ) )
        = $false )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[93]) ).

thf(98,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ~ ( cc @ ( sK2_Y @ SV6 ) )
              | ~ ( cd @ ( sK2_Y @ SV6 ) ) ) )
        = $false )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[93]) ).

thf(99,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV11 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY11: $i] :
                    ( ~ ( rr @ SV11 @ SY11 )
                    | ( cc @ SY11 ) )
              | ~ ! [SY12: $i] :
                    ( ~ ( rr @ SV11 @ SY12 )
                    | ( cd @ SY12 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(100,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( cUnsatisfiable @ SV12 ) )
        = $true )
      | ( ( ~ ( ~ ( cowlThing @ ( sK1_Y @ SV12 ) )
              | ~ ( rr @ SV12 @ ( sK1_Y @ SV12 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(101,plain,
    ! [SV6: $i] :
      ( ( ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
        = $true )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[97]) ).

thf(102,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( cc @ ( sK2_Y @ SV6 ) )
          | ~ ( cd @ ( sK2_Y @ SV6 ) ) )
        = $true )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[98]) ).

thf(103,plain,
    ! [SV11: $i] :
      ( ( ( cUnsatisfiable @ SV11 )
        = $false )
      | ( ( ~ ( ~ ! [SY11: $i] :
                    ( ~ ( rr @ SV11 @ SY11 )
                    | ( cc @ SY11 ) )
              | ~ ! [SY12: $i] :
                    ( ~ ( rr @ SV11 @ SY12 )
                    | ( cd @ SY12 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[99]) ).

thf(104,plain,
    ! [SV12: $i] :
      ( ( ( cUnsatisfiable @ SV12 )
        = $false )
      | ( ( ~ ( ~ ( cowlThing @ ( sK1_Y @ SV12 ) )
              | ~ ( rr @ SV12 @ ( sK1_Y @ SV12 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(105,plain,
    ! [SV6: $i,SV13: $i] :
      ( ( ( ~ ( cowlThing @ SV13 )
          | ~ ( rr @ SV6 @ SV13 ) )
        = $true )
      | ( ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[101]) ).

thf(106,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( cc @ ( sK2_Y @ SV6 ) ) )
        = $true )
      | ( ( ~ ( cd @ ( sK2_Y @ SV6 ) ) )
        = $true )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[102]) ).

thf(107,plain,
    ! [SV11: $i] :
      ( ( ( ~ ! [SY11: $i] :
                ( ~ ( rr @ SV11 @ SY11 )
                | ( cc @ SY11 ) )
          | ~ ! [SY12: $i] :
                ( ~ ( rr @ SV11 @ SY12 )
                | ( cd @ SY12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(108,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( cowlThing @ ( sK1_Y @ SV12 ) )
          | ~ ( rr @ SV12 @ ( sK1_Y @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(109,plain,
    ! [SV6: $i,SV13: $i] :
      ( ( ( ~ ( cowlThing @ SV13 ) )
        = $true )
      | ( ( ~ ( rr @ SV6 @ SV13 ) )
        = $true )
      | ( ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[105]) ).

thf(110,plain,
    ! [SV6: $i] :
      ( ( ( cc @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( ~ ( cd @ ( sK2_Y @ SV6 ) ) )
        = $true )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(111,plain,
    ! [SV11: $i] :
      ( ( ( ~ ! [SY11: $i] :
                ( ~ ( rr @ SV11 @ SY11 )
                | ( cc @ SY11 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[107]) ).

thf(112,plain,
    ! [SV11: $i] :
      ( ( ( ~ ! [SY12: $i] :
                ( ~ ( rr @ SV11 @ SY12 )
                | ( cd @ SY12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[107]) ).

thf(113,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( cowlThing @ ( sK1_Y @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(114,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( rr @ SV12 @ ( sK1_Y @ SV12 ) ) )
        = $false )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(115,plain,
    ! [SV6: $i,SV13: $i] :
      ( ( ( cowlThing @ SV13 )
        = $false )
      | ( ( ~ ( rr @ SV6 @ SV13 ) )
        = $true )
      | ( ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(116,plain,
    ! [SV6: $i] :
      ( ( ( cd @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cc @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( ! [SY10: $i] :
              ( ~ ( cowlThing @ SY10 )
              | ~ ( rr @ SV6 @ SY10 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(117,plain,
    ! [SV11: $i] :
      ( ( ( ! [SY11: $i] :
              ( ~ ( rr @ SV11 @ SY11 )
              | ( cc @ SY11 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[111]) ).

thf(118,plain,
    ! [SV11: $i] :
      ( ( ( ! [SY12: $i] :
              ( ~ ( rr @ SV11 @ SY12 )
              | ( cd @ SY12 ) ) )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[112]) ).

thf(119,plain,
    ! [SV12: $i] :
      ( ( ( cowlThing @ ( sK1_Y @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(120,plain,
    ! [SV12: $i] :
      ( ( ( rr @ SV12 @ ( sK1_Y @ SV12 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(121,plain,
    ! [SV13: $i,SV6: $i] :
      ( ( ( rr @ SV6 @ SV13 )
        = $false )
      | ( ( cowlThing @ SV13 )
        = $false )
      | ( ( rr @ SV6 @ ( sK2_Y @ SV6 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(122,plain,
    ! [SV6: $i,SV14: $i] :
      ( ( ( ~ ( cowlThing @ SV14 )
          | ~ ( rr @ SV6 @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cd @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[116]) ).

thf(123,plain,
    ! [SV15: $i,SV11: $i] :
      ( ( ( ~ ( rr @ SV11 @ SV15 )
          | ( cc @ SV15 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[117]) ).

thf(124,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( ~ ( rr @ SV11 @ SV16 )
          | ( cd @ SV16 ) )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[118]) ).

thf(125,plain,
    ! [SV6: $i,SV14: $i] :
      ( ( ( ~ ( cowlThing @ SV14 ) )
        = $true )
      | ( ( ~ ( rr @ SV6 @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cd @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[122]) ).

thf(126,plain,
    ! [SV15: $i,SV11: $i] :
      ( ( ( ~ ( rr @ SV11 @ SV15 ) )
        = $true )
      | ( ( cc @ SV15 )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[123]) ).

thf(127,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( ~ ( rr @ SV11 @ SV16 ) )
        = $true )
      | ( ( cd @ SV16 )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(128,plain,
    ! [SV6: $i,SV14: $i] :
      ( ( ( cowlThing @ SV14 )
        = $false )
      | ( ( ~ ( rr @ SV6 @ SV14 ) )
        = $true )
      | ( ( cc @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cd @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[125]) ).

thf(129,plain,
    ! [SV15: $i,SV11: $i] :
      ( ( ( rr @ SV11 @ SV15 )
        = $false )
      | ( ( cc @ SV15 )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(130,plain,
    ! [SV16: $i,SV11: $i] :
      ( ( ( rr @ SV11 @ SV16 )
        = $false )
      | ( ( cd @ SV16 )
        = $true )
      | ( ( cUnsatisfiable @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(131,plain,
    ! [SV14: $i,SV6: $i] :
      ( ( ( rr @ SV6 @ SV14 )
        = $false )
      | ( ( cowlThing @ SV14 )
        = $false )
      | ( ( cc @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cd @ ( sK2_Y @ SV6 ) )
        = $false )
      | ( ( cUnsatisfiable @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(132,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[39,131,130,129,121,120,119,96,88,86,79,76,75,68,67,65,49]) ).

thf(133,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.34  % Computer : n028.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 600
% 0.11/0.34  % DateTime : Tue Jun  7 12:27:30 EDT 2022
% 0.11/0.34  % CPUTime  : 
% 0.20/0.34  
% 0.20/0.34   No.of.Axioms: 9
% 0.20/0.34  
% 0.20/0.34   Length.of.Defs: 0
% 0.20/0.34  
% 0.20/0.34   Contains.Choice.Funs: false
% 0.20/0.35  (rf:0,axioms:9,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:11,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.40  
% 0.20/0.40  ********************************
% 0.20/0.40  *   All subproblems solved!    *
% 0.20/0.40  ********************************
% 0.20/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,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:132,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.40  
% 0.20/0.40  %**** Beginning of derivation protocol ****
% 0.20/0.40  % SZS output start CNFRefutation
% See solution above
% 0.20/0.41  
% 0.20/0.41  %**** End of derivation protocol ****
% 0.20/0.41  %**** no. of clauses in derivation: 133 ****
% 0.20/0.41  %**** clause counter: 132 ****
% 0.20/0.41  
% 0.20/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,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:132,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------