TSTP Solution File: LCL650+1.005 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL650+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n016.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  : 300s
% DateTime : Thu Aug 31 06:56:45 EDT 2023

% Result   : Theorem 7.77s 8.02s
% Output   : CNFRefutation 7.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   79
% Syntax   : Number of formulae    :  494 (  28 unt;  76 typ;   0 def)
%            Number of atoms       : 4349 (   0 equ)
%            Maximal formula atoms :  289 (  10 avg)
%            Number of connectives : 7798 (3867   ~;3674   |; 253   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  109 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   74 (  42   >;  32   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  28 usr;   1 prp; 0-2 aty)
%            Number of functors    :   48 (  48 usr;  34 con; 0-6 aty)
%            Number of variables   : 2786 (   0 sgn; 660   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    r1: ( $i * $i ) > $o ).

tff(decl_23,type,
    p32: $i > $o ).

tff(decl_24,type,
    p30: $i > $o ).

tff(decl_25,type,
    p28: $i > $o ).

tff(decl_26,type,
    p26: $i > $o ).

tff(decl_27,type,
    p24: $i > $o ).

tff(decl_28,type,
    p22: $i > $o ).

tff(decl_29,type,
    p20: $i > $o ).

tff(decl_30,type,
    p18: $i > $o ).

tff(decl_31,type,
    p16: $i > $o ).

tff(decl_32,type,
    p14: $i > $o ).

tff(decl_33,type,
    p12: $i > $o ).

tff(decl_34,type,
    p10: $i > $o ).

tff(decl_35,type,
    p8: $i > $o ).

tff(decl_36,type,
    p6: $i > $o ).

tff(decl_37,type,
    p4: $i > $o ).

tff(decl_38,type,
    p2: $i > $o ).

tff(decl_39,type,
    p17: $i > $o ).

tff(decl_40,type,
    p15: $i > $o ).

tff(decl_41,type,
    p1: $i > $o ).

tff(decl_42,type,
    p13: $i > $o ).

tff(decl_43,type,
    p11: $i > $o ).

tff(decl_44,type,
    p9: $i > $o ).

tff(decl_45,type,
    p7: $i > $o ).

tff(decl_46,type,
    p5: $i > $o ).

tff(decl_47,type,
    p3: $i > $o ).

tff(decl_48,type,
    epred1_1: $i > $o ).

tff(decl_49,type,
    epred2_1: $i > $o ).

tff(decl_50,type,
    esk1_0: $i ).

tff(decl_51,type,
    esk2_0: $i ).

tff(decl_52,type,
    esk3_0: $i ).

tff(decl_53,type,
    esk4_0: $i ).

tff(decl_54,type,
    esk5_0: $i ).

tff(decl_55,type,
    esk6_0: $i ).

tff(decl_56,type,
    esk7_0: $i ).

tff(decl_57,type,
    esk8_0: $i ).

tff(decl_58,type,
    esk9_0: $i ).

tff(decl_59,type,
    esk10_0: $i ).

tff(decl_60,type,
    esk11_0: $i ).

tff(decl_61,type,
    esk12_0: $i ).

tff(decl_62,type,
    esk13_0: $i ).

tff(decl_63,type,
    esk14_0: $i ).

tff(decl_64,type,
    esk15_0: $i ).

tff(decl_65,type,
    esk16_0: $i ).

tff(decl_66,type,
    esk17_0: $i ).

tff(decl_67,type,
    esk18_0: $i ).

tff(decl_68,type,
    esk19_1: $i > $i ).

tff(decl_69,type,
    esk20_2: ( $i * $i ) > $i ).

tff(decl_70,type,
    esk21_0: $i ).

tff(decl_71,type,
    esk22_0: $i ).

tff(decl_72,type,
    esk23_0: $i ).

tff(decl_73,type,
    esk24_0: $i ).

tff(decl_74,type,
    esk25_0: $i ).

tff(decl_75,type,
    esk26_0: $i ).

tff(decl_76,type,
    esk27_0: $i ).

tff(decl_77,type,
    esk28_0: $i ).

tff(decl_78,type,
    esk29_0: $i ).

tff(decl_79,type,
    esk30_0: $i ).

tff(decl_80,type,
    esk31_0: $i ).

tff(decl_81,type,
    esk32_0: $i ).

tff(decl_82,type,
    esk33_0: $i ).

tff(decl_83,type,
    esk34_0: $i ).

tff(decl_84,type,
    esk35_0: $i ).

tff(decl_85,type,
    esk36_0: $i ).

tff(decl_86,type,
    esk37_1: $i > $i ).

tff(decl_87,type,
    esk38_2: ( $i * $i ) > $i ).

tff(decl_88,type,
    esk39_3: ( $i * $i * $i ) > $i ).

tff(decl_89,type,
    esk40_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk41_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk42_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk43_1: $i > $i ).

tff(decl_93,type,
    esk44_2: ( $i * $i ) > $i ).

tff(decl_94,type,
    esk45_3: ( $i * $i * $i ) > $i ).

tff(decl_95,type,
    esk46_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_96,type,
    esk47_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_97,type,
    esk48_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ( ~ p32(X1)
                                                                            & ~ p30(X1)
                                                                            & ~ p28(X1)
                                                                            & ~ p26(X1)
                                                                            & ~ p24(X1)
                                                                            & ~ p22(X1)
                                                                            & ~ p20(X1)
                                                                            & ~ p18(X1)
                                                                            & ~ p16(X1)
                                                                            & ~ p14(X1)
                                                                            & ~ p12(X1)
                                                                            & ~ p10(X1)
                                                                            & ~ p8(X1)
                                                                            & ~ p6(X1)
                                                                            & ~ p4(X1)
                                                                            & ~ p2(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p17(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ~ ( ( ~ p15(X1)
                                                                                        & ~ p1(X1) )
                                                                                      | ( p1(X1)
                                                                                        & p15(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | p16(X1) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ~ ( ( ~ p14(X1)
                                                                                              & ~ p15(X1) )
                                                                                            | ( p15(X1)
                                                                                              & p14(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p15(X2) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ~ ( ( ~ p13(X1)
                                                                                                    & ~ p14(X1) )
                                                                                                  | ( p14(X1)
                                                                                                    & p13(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p14(X1) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ( ( ~ p12(X1)
                                                                                                          & ~ p13(X1) )
                                                                                                        | ( p13(X1)
                                                                                                          & p12(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p13(X2) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ! [X1] :
                                                                                                  ( ~ r1(X2,X1)
                                                                                                  | ! [X2] :
                                                                                                      ( ~ r1(X1,X2)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ( ~ p11(X1)
                                                                                                                & ~ p12(X1) )
                                                                                                              | ( p12(X1)
                                                                                                                & p11(X1) ) ) ) ) ) ) ) ) ) ) ) ) )
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | p12(X1) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ! [X2] :
                                                                                            ( ~ r1(X1,X2)
                                                                                            | ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ! [X2] :
                                                                                                    ( ~ r1(X1,X2)
                                                                                                    | ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ! [X2] :
                                                                                                            ( ~ r1(X1,X2)
                                                                                                            | ! [X1] :
                                                                                                                ( ~ r1(X2,X1)
                                                                                                                | ~ ( ( ~ p10(X1)
                                                                                                                      & ~ p11(X1) )
                                                                                                                    | ( p11(X1)
                                                                                                                      & p10(X1) ) ) ) ) ) ) ) ) ) ) ) )
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | p11(X2) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ! [X1] :
                                                                                                              ( ~ r1(X2,X1)
                                                                                                              | ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | ! [X1] :
                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                      | ~ ( ( ~ p9(X1)
                                                                                                                            & ~ p10(X1) )
                                                                                                                          | ( p10(X1)
                                                                                                                            & p9(X1) ) ) ) ) ) ) ) ) ) ) )
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | p10(X1) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ! [X2] :
                                                                                                        ( ~ r1(X1,X2)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ r1(X2,X1)
                                                                                                            | ! [X2] :
                                                                                                                ( ~ r1(X1,X2)
                                                                                                                | ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ! [X2] :
                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                        | ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | ~ ( ( ~ p8(X1)
                                                                                                                                  & ~ p9(X1) )
                                                                                                                                | ( p9(X1)
                                                                                                                                  & p8(X1) ) ) ) ) ) ) ) ) ) )
                                                                                          | ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | p9(X2) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ! [X1] :
                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                  | ! [X2] :
                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                      | ! [X1] :
                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                          | ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ! [X1] :
                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                  | ~ ( ( ~ p7(X1)
                                                                                                                                        & ~ p8(X1) )
                                                                                                                                      | ( p8(X1)
                                                                                                                                        & p7(X1) ) ) ) ) ) ) ) ) )
                                                                                                    | ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | p8(X1) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ! [X2] :
                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                            | ! [X1] :
                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                | ! [X2] :
                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                    | ! [X1] :
                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                        | ~ ( ( ~ p6(X1)
                                                                                                                                              & ~ p7(X1) )
                                                                                                                                            | ( p7(X1)
                                                                                                                                              & p6(X1) ) ) ) ) ) ) ) )
                                                                                                              | ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | p7(X2) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ! [X1] :
                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                      | ! [X2] :
                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                          | ! [X1] :
                                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                                              | ~ ( ( ~ p5(X1)
                                                                                                                                                    & ~ p6(X1) )
                                                                                                                                                  | ( p6(X1)
                                                                                                                                                    & p5(X1) ) ) ) ) ) ) )
                                                                                                                        | ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | p6(X1) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ~ ( ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ! [X2] :
                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                | ! [X1] :
                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                    | ~ ( ( ~ p4(X1)
                                                                                                                                                          & ~ p5(X1) )
                                                                                                                                                        | ( p5(X1)
                                                                                                                                                          & p4(X1) ) ) ) ) ) )
                                                                                                                                  | ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | p5(X2) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ! [X1] :
                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                          | ~ ( ( ~ p3(X1)
                                                                                                                                                                & ~ p4(X1) )
                                                                                                                                                              | ( p4(X1)
                                                                                                                                                                & p3(X1) ) ) ) ) )
                                                                                                                                            | ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | p4(X1) )
                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | ~ ( ( ~ p2(X1)
                                                                                                                                                                      & ~ p3(X1) )
                                                                                                                                                                    | ( p3(X1)
                                                                                                                                                                      & p2(X1) ) ) ) )
                                                                                                                                                      | ! [X2] :
                                                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                                                          | p3(X2) )
                                                                                                                                                      | ~ ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ~ ~ ! [X1] :
                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                    | ~ ( ( ~ p1(X1)
                                                                                                                                                                          & ~ p2(X1) )
                                                                                                                                                                        | ( p2(X1)
                                                                                                                                                                          & p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ( p16(X1)
                                                                            & p15(X1)
                                                                            & p14(X1)
                                                                            & p13(X1)
                                                                            & p12(X1)
                                                                            & p11(X1)
                                                                            & p10(X1)
                                                                            & p9(X1)
                                                                            & p8(X1)
                                                                            & p7(X1)
                                                                            & p6(X1)
                                                                            & p5(X1)
                                                                            & p4(X1)
                                                                            & p3(X1)
                                                                            & p2(X1)
                                                                            & p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(c_0_1,plain,
    ! [X2] :
      ( epred2_1(X2)
    <=> ~ ( ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ( ( ~ p13(X1)
                                                                      & ~ p14(X1) )
                                                                    | ( p14(X1)
                                                                      & p13(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X2,X1)
              | p14(X1) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ ( ( ~ p12(X1)
                                                                            & ~ p13(X1) )
                                                                          | ( p13(X1)
                                                                            & p12(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p13(X2) )
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ( ( ~ p11(X1)
                                                                                  & ~ p12(X1) )
                                                                                | ( p12(X1)
                                                                                  & p11(X1) ) ) ) ) ) ) ) ) ) ) ) ) )
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | p12(X1) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ~ ( ( ~ p10(X1)
                                                                                        & ~ p11(X1) )
                                                                                      | ( p11(X1)
                                                                                        & p10(X1) ) ) ) ) ) ) ) ) ) ) ) )
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | p11(X2) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ~ ( ( ~ p9(X1)
                                                                                              & ~ p10(X1) )
                                                                                            | ( p10(X1)
                                                                                              & p9(X1) ) ) ) ) ) ) ) ) ) ) )
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | p10(X1) )
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ ( ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ~ ( ( ~ p8(X1)
                                                                                                    & ~ p9(X1) )
                                                                                                  | ( p9(X1)
                                                                                                    & p8(X1) ) ) ) ) ) ) ) ) ) )
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | p9(X2) )
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ ( ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ( ( ~ p7(X1)
                                                                                                          & ~ p8(X1) )
                                                                                                        | ( p8(X1)
                                                                                                          & p7(X1) ) ) ) ) ) ) ) ) )
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | p8(X1) )
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ( ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ! [X1] :
                                                                                                  ( ~ r1(X2,X1)
                                                                                                  | ! [X2] :
                                                                                                      ( ~ r1(X1,X2)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ( ~ p6(X1)
                                                                                                                & ~ p7(X1) )
                                                                                                              | ( p7(X1)
                                                                                                                & p6(X1) ) ) ) ) ) ) ) )
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | p7(X2) )
                                                                                | ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ ( ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ! [X2] :
                                                                                                    ( ~ r1(X1,X2)
                                                                                                    | ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ! [X2] :
                                                                                                            ( ~ r1(X1,X2)
                                                                                                            | ! [X1] :
                                                                                                                ( ~ r1(X2,X1)
                                                                                                                | ~ ( ( ~ p5(X1)
                                                                                                                      & ~ p6(X1) )
                                                                                                                    | ( p6(X1)
                                                                                                                      & p5(X1) ) ) ) ) ) ) )
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | p6(X1) )
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ~ ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ! [X1] :
                                                                                                              ( ~ r1(X2,X1)
                                                                                                              | ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | ! [X1] :
                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                      | ~ ( ( ~ p4(X1)
                                                                                                                            & ~ p5(X1) )
                                                                                                                          | ( p5(X1)
                                                                                                                            & p4(X1) ) ) ) ) ) )
                                                                                                    | ! [X2] :
                                                                                                        ( ~ r1(X1,X2)
                                                                                                        | p5(X2) )
                                                                                                    | ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ! [X2] :
                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                        | ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | ~ ( ( ~ p3(X1)
                                                                                                                                  & ~ p4(X1) )
                                                                                                                                | ( p4(X1)
                                                                                                                                  & p3(X1) ) ) ) ) )
                                                                                                              | ! [X1] :
                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                  | p4(X1) )
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ~ ( ~ ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ! [X1] :
                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                  | ~ ( ( ~ p2(X1)
                                                                                                                                        & ~ p3(X1) )
                                                                                                                                      | ( p3(X1)
                                                                                                                                        & p2(X1) ) ) ) )
                                                                                                                        | ! [X2] :
                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                            | p3(X2) )
                                                                                                                        | ~ ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ~ ~ ! [X1] :
                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                      | ~ ( ( ~ p1(X1)
                                                                                                                                            & ~ p2(X1) )
                                                                                                                                          | ( p2(X1)
                                                                                                                                            & p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ( ~ p32(X1)
                                                                              & ~ p30(X1)
                                                                              & ~ p28(X1)
                                                                              & ~ p26(X1)
                                                                              & ~ p24(X1)
                                                                              & ~ p22(X1)
                                                                              & ~ p20(X1)
                                                                              & ~ p18(X1)
                                                                              & ~ p16(X1)
                                                                              & ~ p14(X1)
                                                                              & ~ p12(X1)
                                                                              & ~ p10(X1)
                                                                              & ~ p8(X1)
                                                                              & ~ p6(X1)
                                                                              & ~ p4(X1)
                                                                              & ~ p2(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p17(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ( ( ~ p15(X1)
                                                                                          & ~ p1(X1) )
                                                                                        | ( p1(X1)
                                                                                          & p15(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p16(X1) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ~ ( ( ~ p14(X1)
                                                                                                & ~ p15(X1) )
                                                                                              | ( p15(X1)
                                                                                                & p14(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p15(X2) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | epred2_1(X2) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ( p16(X1)
                                                                              & p15(X1)
                                                                              & p14(X1)
                                                                              & p13(X1)
                                                                              & p12(X1)
                                                                              & p11(X1)
                                                                              & p10(X1)
                                                                              & p9(X1)
                                                                              & p8(X1)
                                                                              & p7(X1)
                                                                              & p6(X1)
                                                                              & p5(X1)
                                                                              & p4(X1)
                                                                              & p3(X1)
                                                                              & p2(X1)
                                                                              & p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X54] :
      ( r1(esk1_0,esk2_0)
      & r1(esk2_0,esk3_0)
      & r1(esk3_0,esk4_0)
      & r1(esk4_0,esk5_0)
      & r1(esk5_0,esk6_0)
      & r1(esk6_0,esk7_0)
      & r1(esk7_0,esk8_0)
      & r1(esk8_0,esk9_0)
      & r1(esk9_0,esk10_0)
      & r1(esk10_0,esk11_0)
      & r1(esk11_0,esk12_0)
      & r1(esk12_0,esk13_0)
      & r1(esk13_0,esk14_0)
      & r1(esk14_0,esk15_0)
      & r1(esk15_0,esk16_0)
      & r1(esk16_0,esk17_0)
      & ( p32(esk17_0)
        | p30(esk17_0)
        | p28(esk17_0)
        | p26(esk17_0)
        | p24(esk17_0)
        | p22(esk17_0)
        | p20(esk17_0)
        | p18(esk17_0)
        | p16(esk17_0)
        | p14(esk17_0)
        | p12(esk17_0)
        | p10(esk17_0)
        | p8(esk17_0)
        | p6(esk17_0)
        | p4(esk17_0)
        | p2(esk17_0) )
      & r1(esk1_0,esk18_0)
      & ~ p17(esk18_0)
      & ( p15(X36)
        | p1(X36)
        | ~ r1(X35,X36)
        | ~ r1(X34,X35)
        | ~ r1(X33,X34)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(X27,X28)
        | ~ r1(X26,X27)
        | ~ r1(X25,X26)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(X22,X23)
        | ~ r1(X21,X22)
        | ~ r1(esk1_0,X21) )
      & ( ~ p1(X36)
        | ~ p15(X36)
        | ~ r1(X35,X36)
        | ~ r1(X34,X35)
        | ~ r1(X33,X34)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(X27,X28)
        | ~ r1(X26,X27)
        | ~ r1(X25,X26)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(X22,X23)
        | ~ r1(X21,X22)
        | ~ r1(esk1_0,X21) )
      & ( r1(X21,esk19_1(X21))
        | ~ r1(esk1_0,X21) )
      & ( ~ p16(esk19_1(X21))
        | ~ r1(esk1_0,X21) )
      & ( p14(X52)
        | p15(X52)
        | ~ r1(X51,X52)
        | ~ r1(X50,X51)
        | ~ r1(X49,X50)
        | ~ r1(X48,X49)
        | ~ r1(X47,X48)
        | ~ r1(X46,X47)
        | ~ r1(X45,X46)
        | ~ r1(X44,X45)
        | ~ r1(X43,X44)
        | ~ r1(X42,X43)
        | ~ r1(X41,X42)
        | ~ r1(X40,X41)
        | ~ r1(X39,X40)
        | ~ r1(X38,X39)
        | ~ r1(X21,X38)
        | ~ r1(esk1_0,X21) )
      & ( ~ p15(X52)
        | ~ p14(X52)
        | ~ r1(X51,X52)
        | ~ r1(X50,X51)
        | ~ r1(X49,X50)
        | ~ r1(X48,X49)
        | ~ r1(X47,X48)
        | ~ r1(X46,X47)
        | ~ r1(X45,X46)
        | ~ r1(X44,X45)
        | ~ r1(X43,X44)
        | ~ r1(X42,X43)
        | ~ r1(X41,X42)
        | ~ r1(X40,X41)
        | ~ r1(X39,X40)
        | ~ r1(X38,X39)
        | ~ r1(X21,X38)
        | ~ r1(esk1_0,X21) )
      & ( r1(X38,esk20_2(X21,X38))
        | ~ r1(X21,X38)
        | ~ r1(esk1_0,X21) )
      & ( ~ p15(esk20_2(X21,X38))
        | ~ r1(X21,X38)
        | ~ r1(esk1_0,X21) )
      & ( ~ r1(X38,X54)
        | epred2_1(X54)
        | ~ r1(X21,X38)
        | ~ r1(esk1_0,X21) )
      & r1(esk1_0,esk21_0)
      & r1(esk21_0,esk22_0)
      & r1(esk22_0,esk23_0)
      & r1(esk23_0,esk24_0)
      & r1(esk24_0,esk25_0)
      & r1(esk25_0,esk26_0)
      & r1(esk26_0,esk27_0)
      & r1(esk27_0,esk28_0)
      & r1(esk28_0,esk29_0)
      & r1(esk29_0,esk30_0)
      & r1(esk30_0,esk31_0)
      & r1(esk31_0,esk32_0)
      & r1(esk32_0,esk33_0)
      & r1(esk33_0,esk34_0)
      & r1(esk34_0,esk35_0)
      & r1(esk35_0,esk36_0)
      & ( ~ p16(esk36_0)
        | ~ p15(esk36_0)
        | ~ p14(esk36_0)
        | ~ p13(esk36_0)
        | ~ p12(esk36_0)
        | ~ p11(esk36_0)
        | ~ p10(esk36_0)
        | ~ p9(esk36_0)
        | ~ p8(esk36_0)
        | ~ p7(esk36_0)
        | ~ p6(esk36_0)
        | ~ p5(esk36_0)
        | ~ p4(esk36_0)
        | ~ p3(esk36_0)
        | ~ p2(esk36_0)
        | ~ p1(esk36_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(X16,X15)
    | ~ r1(esk1_0,X16) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    r1(esk1_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_6,plain,
    ! [X2] :
      ( epred1_1(X2)
    <=> ~ ( ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ( ( ~ p7(X1)
                                              & ~ p8(X1) )
                                            | ( p8(X1)
                                              & p7(X1) ) ) ) ) ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X2,X1)
              | p8(X1) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ( ~ p6(X1)
                                                    & ~ p7(X1) )
                                                  | ( p7(X1)
                                                    & p6(X1) ) ) ) ) ) ) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p7(X2) )
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( ~ p5(X1)
                                                          & ~ p6(X1) )
                                                        | ( p6(X1)
                                                          & p5(X1) ) ) ) ) ) ) )
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | p6(X1) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ( ( ~ p4(X1)
                                                                & ~ p5(X1) )
                                                              | ( p5(X1)
                                                                & p4(X1) ) ) ) ) ) )
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | p5(X2) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ( ( ~ p3(X1)
                                                                      & ~ p4(X1) )
                                                                    | ( p4(X1)
                                                                      & p3(X1) ) ) ) ) )
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | p4(X1) )
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ ( ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ ( ( ~ p2(X1)
                                                                            & ~ p3(X1) )
                                                                          | ( p3(X1)
                                                                            & p2(X1) ) ) ) )
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | p3(X2) )
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ ~ ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( ~ p1(X1)
                                                                                & ~ p2(X1) )
                                                                              | ( p2(X1)
                                                                                & p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_7,negated_conjecture,
    ( epred2_1(X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(esk1_0,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk21_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X15)
    | ~ r1(X15,X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    r1(esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_10,plain,
    ! [X2] :
      ( epred2_1(X2)
     => ~ ( ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ( ( ~ p13(X1)
                                                                      & ~ p14(X1) )
                                                                    | ( p14(X1)
                                                                      & p13(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X2,X1)
              | p14(X1) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ ( ( ~ p12(X1)
                                                                            & ~ p13(X1) )
                                                                          | ( p13(X1)
                                                                            & p12(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p13(X2) )
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ( ( ~ p11(X1)
                                                                                  & ~ p12(X1) )
                                                                                | ( p12(X1)
                                                                                  & p11(X1) ) ) ) ) ) ) ) ) ) ) ) ) )
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | p12(X1) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ~ ( ( ~ p10(X1)
                                                                                        & ~ p11(X1) )
                                                                                      | ( p11(X1)
                                                                                        & p10(X1) ) ) ) ) ) ) ) ) ) ) ) )
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | p11(X2) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ~ ( ( ~ p9(X1)
                                                                                              & ~ p10(X1) )
                                                                                            | ( p10(X1)
                                                                                              & p9(X1) ) ) ) ) ) ) ) ) ) ) )
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | p10(X1) )
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ ( ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ~ ( ( ~ p8(X1)
                                                                                                    & ~ p9(X1) )
                                                                                                  | ( p9(X1)
                                                                                                    & p8(X1) ) ) ) ) ) ) ) ) ) )
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | p9(X2) )
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | epred1_1(X2) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_1]),c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk21_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    ( p14(X1)
    | p15(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(X16,X15)
    | ~ r1(esk1_0,X16) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk22_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    r1(esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_15,plain,
    ! [X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X177,X178,X179,X180,X181,X182,X183,X184,X185,X187] :
      ( ( p13(X125)
        | p14(X125)
        | ~ r1(X124,X125)
        | ~ r1(X123,X124)
        | ~ r1(X122,X123)
        | ~ r1(X121,X122)
        | ~ r1(X120,X121)
        | ~ r1(X119,X120)
        | ~ r1(X118,X119)
        | ~ r1(X117,X118)
        | ~ r1(X116,X117)
        | ~ r1(X115,X116)
        | ~ r1(X114,X115)
        | ~ r1(X113,X114)
        | ~ r1(X112,X113)
        | ~ epred2_1(X112) )
      & ( ~ p14(X125)
        | ~ p13(X125)
        | ~ r1(X124,X125)
        | ~ r1(X123,X124)
        | ~ r1(X122,X123)
        | ~ r1(X121,X122)
        | ~ r1(X120,X121)
        | ~ r1(X119,X120)
        | ~ r1(X118,X119)
        | ~ r1(X117,X118)
        | ~ r1(X116,X117)
        | ~ r1(X115,X116)
        | ~ r1(X114,X115)
        | ~ r1(X113,X114)
        | ~ r1(X112,X113)
        | ~ epred2_1(X112) )
      & ( r1(X112,esk43_1(X112))
        | ~ epred2_1(X112) )
      & ( ~ p14(esk43_1(X112))
        | ~ epred2_1(X112) )
      & ( p12(X139)
        | p13(X139)
        | ~ r1(X138,X139)
        | ~ r1(X137,X138)
        | ~ r1(X136,X137)
        | ~ r1(X135,X136)
        | ~ r1(X134,X135)
        | ~ r1(X133,X134)
        | ~ r1(X132,X133)
        | ~ r1(X131,X132)
        | ~ r1(X130,X131)
        | ~ r1(X129,X130)
        | ~ r1(X128,X129)
        | ~ r1(X127,X128)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p13(X139)
        | ~ p12(X139)
        | ~ r1(X138,X139)
        | ~ r1(X137,X138)
        | ~ r1(X136,X137)
        | ~ r1(X135,X136)
        | ~ r1(X134,X135)
        | ~ r1(X133,X134)
        | ~ r1(X132,X133)
        | ~ r1(X131,X132)
        | ~ r1(X130,X131)
        | ~ r1(X129,X130)
        | ~ r1(X128,X129)
        | ~ r1(X127,X128)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( r1(X127,esk44_2(X112,X127))
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p13(esk44_2(X112,X127))
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( p11(X152)
        | p12(X152)
        | ~ r1(X151,X152)
        | ~ r1(X150,X151)
        | ~ r1(X149,X150)
        | ~ r1(X148,X149)
        | ~ r1(X147,X148)
        | ~ r1(X146,X147)
        | ~ r1(X145,X146)
        | ~ r1(X144,X145)
        | ~ r1(X143,X144)
        | ~ r1(X142,X143)
        | ~ r1(X141,X142)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p12(X152)
        | ~ p11(X152)
        | ~ r1(X151,X152)
        | ~ r1(X150,X151)
        | ~ r1(X149,X150)
        | ~ r1(X148,X149)
        | ~ r1(X147,X148)
        | ~ r1(X146,X147)
        | ~ r1(X145,X146)
        | ~ r1(X144,X145)
        | ~ r1(X143,X144)
        | ~ r1(X142,X143)
        | ~ r1(X141,X142)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( r1(X141,esk45_3(X112,X127,X141))
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p12(esk45_3(X112,X127,X141))
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( p10(X164)
        | p11(X164)
        | ~ r1(X163,X164)
        | ~ r1(X162,X163)
        | ~ r1(X161,X162)
        | ~ r1(X160,X161)
        | ~ r1(X159,X160)
        | ~ r1(X158,X159)
        | ~ r1(X157,X158)
        | ~ r1(X156,X157)
        | ~ r1(X155,X156)
        | ~ r1(X154,X155)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p11(X164)
        | ~ p10(X164)
        | ~ r1(X163,X164)
        | ~ r1(X162,X163)
        | ~ r1(X161,X162)
        | ~ r1(X160,X161)
        | ~ r1(X159,X160)
        | ~ r1(X158,X159)
        | ~ r1(X157,X158)
        | ~ r1(X156,X157)
        | ~ r1(X155,X156)
        | ~ r1(X154,X155)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( r1(X154,esk46_4(X112,X127,X141,X154))
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p11(esk46_4(X112,X127,X141,X154))
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( p9(X175)
        | p10(X175)
        | ~ r1(X174,X175)
        | ~ r1(X173,X174)
        | ~ r1(X172,X173)
        | ~ r1(X171,X172)
        | ~ r1(X170,X171)
        | ~ r1(X169,X170)
        | ~ r1(X168,X169)
        | ~ r1(X167,X168)
        | ~ r1(X166,X167)
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p10(X175)
        | ~ p9(X175)
        | ~ r1(X174,X175)
        | ~ r1(X173,X174)
        | ~ r1(X172,X173)
        | ~ r1(X171,X172)
        | ~ r1(X170,X171)
        | ~ r1(X169,X170)
        | ~ r1(X168,X169)
        | ~ r1(X167,X168)
        | ~ r1(X166,X167)
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( r1(X166,esk47_5(X112,X127,X141,X154,X166))
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p10(esk47_5(X112,X127,X141,X154,X166))
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( p8(X185)
        | p9(X185)
        | ~ r1(X184,X185)
        | ~ r1(X183,X184)
        | ~ r1(X182,X183)
        | ~ r1(X181,X182)
        | ~ r1(X180,X181)
        | ~ r1(X179,X180)
        | ~ r1(X178,X179)
        | ~ r1(X177,X178)
        | ~ r1(X166,X177)
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p9(X185)
        | ~ p8(X185)
        | ~ r1(X184,X185)
        | ~ r1(X183,X184)
        | ~ r1(X182,X183)
        | ~ r1(X181,X182)
        | ~ r1(X180,X181)
        | ~ r1(X179,X180)
        | ~ r1(X178,X179)
        | ~ r1(X177,X178)
        | ~ r1(X166,X177)
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( r1(X177,esk48_6(X112,X127,X141,X154,X166,X177))
        | ~ r1(X166,X177)
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ p9(esk48_6(X112,X127,X141,X154,X166,X177))
        | ~ r1(X166,X177)
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) )
      & ( ~ r1(X177,X187)
        | epred1_1(X187)
        | ~ r1(X166,X177)
        | ~ r1(X154,X166)
        | ~ r1(X141,X154)
        | ~ r1(X127,X141)
        | ~ r1(X112,X127)
        | ~ epred2_1(X112) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).

cnf(c_0_16,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk21_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X15)
    | ~ r1(X15,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_5]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk23_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    r1(esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_20,plain,
    ( epred1_1(X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ epred2_1(X7) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    epred2_1(esk23_0),
    inference(spm,[status(thm)],[c_0_16,c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk22_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_9]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    r1(esk24_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_25,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_21])]) ).

cnf(c_0_26,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk23_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_14]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    r1(esk25_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_29,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_19]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    r1(esk26_0,esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_33,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_24]) ).

cnf(c_0_35,plain,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_36,plain,
    ( p9(X1)
    | p10(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_37,plain,
    ! [X2] :
      ( epred1_1(X2)
     => ~ ( ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ( ( ~ p7(X1)
                                              & ~ p8(X1) )
                                            | ( p8(X1)
                                              & p7(X1) ) ) ) ) ) ) ) ) )
          | ! [X1] :
              ( ~ r1(X2,X1)
              | p8(X1) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ( ~ p6(X1)
                                                    & ~ p7(X1) )
                                                  | ( p7(X1)
                                                    & p6(X1) ) ) ) ) ) ) ) )
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | p7(X2) )
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( ~ p5(X1)
                                                          & ~ p6(X1) )
                                                        | ( p6(X1)
                                                          & p5(X1) ) ) ) ) ) ) )
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | p6(X1) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ( ( ~ p4(X1)
                                                                & ~ p5(X1) )
                                                              | ( p5(X1)
                                                                & p4(X1) ) ) ) ) ) )
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | p5(X2) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ( ( ~ p3(X1)
                                                                      & ~ p4(X1) )
                                                                    | ( p4(X1)
                                                                      & p3(X1) ) ) ) ) )
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | p4(X1) )
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ ( ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ ( ( ~ p2(X1)
                                                                            & ~ p3(X1) )
                                                                          | ( p3(X1)
                                                                            & p2(X1) ) ) ) )
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | p3(X2) )
                                                            | ~ ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ~ ~ ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( ~ p1(X1)
                                                                                & ~ p2(X1) )
                                                                              | ( p2(X1)
                                                                                & p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_6]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    r1(esk27_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_28]) ).

cnf(c_0_42,plain,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_43,plain,
    ( p11(X1)
    | p12(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_19]),c_0_21])]) ).

cnf(c_0_45,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_19]),c_0_21])]) ).

fof(c_0_46,plain,
    ! [X71,X72,X73,X74,X75,X76,X77,X78,X80,X81,X82,X83,X84,X85,X86,X88,X89,X90,X91,X92,X93,X95,X96,X97,X98,X99,X101,X102,X103,X104,X106,X107,X108,X110,X111] :
      ( ( p7(X78)
        | p8(X78)
        | ~ r1(X77,X78)
        | ~ r1(X76,X77)
        | ~ r1(X75,X76)
        | ~ r1(X74,X75)
        | ~ r1(X73,X74)
        | ~ r1(X72,X73)
        | ~ r1(X71,X72)
        | ~ epred1_1(X71) )
      & ( ~ p8(X78)
        | ~ p7(X78)
        | ~ r1(X77,X78)
        | ~ r1(X76,X77)
        | ~ r1(X75,X76)
        | ~ r1(X74,X75)
        | ~ r1(X73,X74)
        | ~ r1(X72,X73)
        | ~ r1(X71,X72)
        | ~ epred1_1(X71) )
      & ( r1(X71,esk37_1(X71))
        | ~ epred1_1(X71) )
      & ( ~ p8(esk37_1(X71))
        | ~ epred1_1(X71) )
      & ( p6(X86)
        | p7(X86)
        | ~ r1(X85,X86)
        | ~ r1(X84,X85)
        | ~ r1(X83,X84)
        | ~ r1(X82,X83)
        | ~ r1(X81,X82)
        | ~ r1(X80,X81)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p7(X86)
        | ~ p6(X86)
        | ~ r1(X85,X86)
        | ~ r1(X84,X85)
        | ~ r1(X83,X84)
        | ~ r1(X82,X83)
        | ~ r1(X81,X82)
        | ~ r1(X80,X81)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( r1(X80,esk38_2(X71,X80))
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p7(esk38_2(X71,X80))
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( p5(X93)
        | p6(X93)
        | ~ r1(X92,X93)
        | ~ r1(X91,X92)
        | ~ r1(X90,X91)
        | ~ r1(X89,X90)
        | ~ r1(X88,X89)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p6(X93)
        | ~ p5(X93)
        | ~ r1(X92,X93)
        | ~ r1(X91,X92)
        | ~ r1(X90,X91)
        | ~ r1(X89,X90)
        | ~ r1(X88,X89)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( r1(X88,esk39_3(X71,X80,X88))
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p6(esk39_3(X71,X80,X88))
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( p4(X99)
        | p5(X99)
        | ~ r1(X98,X99)
        | ~ r1(X97,X98)
        | ~ r1(X96,X97)
        | ~ r1(X95,X96)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p5(X99)
        | ~ p4(X99)
        | ~ r1(X98,X99)
        | ~ r1(X97,X98)
        | ~ r1(X96,X97)
        | ~ r1(X95,X96)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( r1(X95,esk40_4(X71,X80,X88,X95))
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p5(esk40_4(X71,X80,X88,X95))
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( p3(X104)
        | p4(X104)
        | ~ r1(X103,X104)
        | ~ r1(X102,X103)
        | ~ r1(X101,X102)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p4(X104)
        | ~ p3(X104)
        | ~ r1(X103,X104)
        | ~ r1(X102,X103)
        | ~ r1(X101,X102)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( r1(X101,esk41_5(X71,X80,X88,X95,X101))
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p4(esk41_5(X71,X80,X88,X95,X101))
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( p2(X108)
        | p3(X108)
        | ~ r1(X107,X108)
        | ~ r1(X106,X107)
        | ~ r1(X101,X106)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p3(X108)
        | ~ p2(X108)
        | ~ r1(X107,X108)
        | ~ r1(X106,X107)
        | ~ r1(X101,X106)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( r1(X106,esk42_6(X71,X80,X88,X95,X101,X106))
        | ~ r1(X101,X106)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p3(esk42_6(X71,X80,X88,X95,X101,X106))
        | ~ r1(X101,X106)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( p1(X111)
        | p2(X111)
        | ~ r1(X110,X111)
        | ~ r1(X106,X110)
        | ~ r1(X101,X106)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) )
      & ( ~ p2(X111)
        | ~ p1(X111)
        | ~ r1(X110,X111)
        | ~ r1(X106,X110)
        | ~ r1(X101,X106)
        | ~ r1(X95,X101)
        | ~ r1(X88,X95)
        | ~ r1(X80,X88)
        | ~ r1(X71,X80)
        | ~ epred1_1(X71) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    r1(esk28_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_49,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_39]) ).

cnf(c_0_50,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_32]) ).

cnf(c_0_51,plain,
    ( ~ p14(X1)
    | ~ p13(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_52,plain,
    ( p12(X1)
    | p13(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_53,plain,
    ( ~ p12(X1)
    | ~ p11(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_54,plain,
    ( p10(X1)
    | p11(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_19]),c_0_21])]) ).

cnf(c_0_56,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_19]),c_0_21])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_24]) ).

cnf(c_0_58,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_24]) ).

cnf(c_0_59,plain,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_60,negated_conjecture,
    r1(esk29_0,esk30_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_62,plain,
    ( p1(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_63,negated_conjecture,
    epred1_1(esk29_0),
    inference(spm,[status(thm)],[c_0_49,c_0_48]) ).

cnf(c_0_64,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_39]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_19]),c_0_21])]) ).

cnf(c_0_66,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_19]),c_0_21])]) ).

cnf(c_0_67,plain,
    ( ~ p10(X1)
    | ~ p9(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_68,plain,
    ( p8(X1)
    | p9(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_19]),c_0_21])]) ).

cnf(c_0_70,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_19]),c_0_21])]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_24]) ).

cnf(c_0_72,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_24]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_28]) ).

cnf(c_0_74,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_28]) ).

cnf(c_0_75,plain,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ epred1_1(esk29_0)
    | ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_77,plain,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_60]) ).

cnf(c_0_79,negated_conjecture,
    r1(esk30_0,esk31_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_80,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_63])]) ).

cnf(c_0_81,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_48]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_24]) ).

cnf(c_0_83,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_24]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_19]),c_0_21])]) ).

cnf(c_0_85,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_19]),c_0_21])]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_24]) ).

cnf(c_0_87,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_24]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_28]) ).

cnf(c_0_89,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_28]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_32]) ).

cnf(c_0_91,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_32]) ).

cnf(c_0_92,plain,
    ( ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ epred1_1(esk29_0)
    | ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_60]) ).

cnf(c_0_94,plain,
    ( p5(X1)
    | p6(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_63])]) ).

cnf(c_0_96,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_60]),c_0_63])]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_98,negated_conjecture,
    r1(esk31_0,esk32_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_99,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_79]) ).

cnf(c_0_100,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_60]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_28]) ).

cnf(c_0_102,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_28]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_24]) ).

cnf(c_0_104,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_24]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_28]) ).

cnf(c_0_106,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_28]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_32]) ).

cnf(c_0_108,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_32]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_39]) ).

cnf(c_0_110,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_39]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ epred1_1(esk29_0)
    | ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_60]) ).

cnf(c_0_112,plain,
    ( p7(X1)
    | p8(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_63])]) ).

cnf(c_0_114,negated_conjecture,
    ( p5(X1)
    | p6(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_60]),c_0_63])]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_79]) ).

cnf(c_0_116,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_79]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_118,negated_conjecture,
    r1(esk32_0,esk33_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_119,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_98]) ).

cnf(c_0_120,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_79]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_32]) ).

cnf(c_0_122,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_32]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(X16,X15)
    | ~ r1(esk1_0,X16) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_28]) ).

cnf(c_0_125,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_28]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_32]) ).

cnf(c_0_127,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_32]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_107,c_0_39]) ).

cnf(c_0_129,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_39]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_48]) ).

cnf(c_0_131,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_48]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_63])]) ).

cnf(c_0_133,negated_conjecture,
    ( p7(X1)
    | p8(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_60]),c_0_63])]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_79]) ).

cnf(c_0_135,negated_conjecture,
    ( p5(X1)
    | p6(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_79]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_98]) ).

cnf(c_0_137,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_98]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_139,negated_conjecture,
    r1(esk33_0,esk34_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_140,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_118]) ).

cnf(c_0_141,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_98]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_39]) ).

cnf(c_0_143,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_39]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk21_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X15)
    | ~ r1(X15,X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_5]) ).

cnf(c_0_145,plain,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_146,plain,
    ( p13(X1)
    | p14(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ epred2_1(X14) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_147,negated_conjecture,
    ( p15(X1)
    | p1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(X16,X15)
    | ~ r1(esk1_0,X16) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_32]) ).

cnf(c_0_149,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_32]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_39]) ).

cnf(c_0_151,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_39]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_48]) ).

cnf(c_0_153,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_129,c_0_48]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_60]) ).

cnf(c_0_155,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_131,c_0_60]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_79]) ).

cnf(c_0_157,negated_conjecture,
    ( p7(X1)
    | p8(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_79]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_98]) ).

cnf(c_0_159,negated_conjecture,
    ( p5(X1)
    | p6(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_98]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_118]) ).

cnf(c_0_161,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_118]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_163,negated_conjecture,
    r1(esk34_0,esk35_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_164,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_139]) ).

cnf(c_0_165,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_118]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_142,c_0_48]) ).

cnf(c_0_167,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_48]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk22_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_9]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_19]),c_0_21])]) ).

cnf(c_0_170,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_19]),c_0_21])]) ).

cnf(c_0_171,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk21_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X15)
    | ~ r1(X15,X1) ),
    inference(spm,[status(thm)],[c_0_147,c_0_5]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_39]) ).

cnf(c_0_173,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_149,c_0_39]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_48]) ).

cnf(c_0_175,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_151,c_0_48]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_60]) ).

cnf(c_0_177,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_153,c_0_60]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_79]) ).

cnf(c_0_179,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_79]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_156,c_0_98]) ).

cnf(c_0_181,negated_conjecture,
    ( p7(X1)
    | p8(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_98]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_118]) ).

cnf(c_0_183,negated_conjecture,
    ( p5(X1)
    | p6(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_118]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_139]) ).

cnf(c_0_185,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_161,c_0_139]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ p1(X1)
    | ~ p15(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_187,negated_conjecture,
    r1(esk35_0,esk36_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_188,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_163]) ).

cnf(c_0_189,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_139]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_60]) ).

cnf(c_0_191,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_167,c_0_60]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk23_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_14]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_169,c_0_24]) ).

cnf(c_0_194,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_170,c_0_24]) ).

cnf(c_0_195,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk22_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_9]) ).

cnf(c_0_196,plain,
    ( ~ p8(X1)
    | ~ p7(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_48]) ).

cnf(c_0_198,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_173,c_0_48]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_174,c_0_60]) ).

cnf(c_0_200,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_175,c_0_60]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_176,c_0_79]) ).

cnf(c_0_202,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_79]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_98]) ).

cnf(c_0_204,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_179,c_0_98]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_118]) ).

cnf(c_0_206,negated_conjecture,
    ( p7(X1)
    | p8(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_181,c_0_118]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_182,c_0_139]) ).

cnf(c_0_208,negated_conjecture,
    ( p5(X1)
    | p6(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_139]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_163]) ).

cnf(c_0_210,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_185,c_0_163]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ p1(esk36_0)
    | ~ p15(esk36_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_212,negated_conjecture,
    ( p1(esk36_0)
    | p2(esk36_0) ),
    inference(spm,[status(thm)],[c_0_188,c_0_187]) ).

cnf(c_0_213,negated_conjecture,
    ( p15(X1)
    | p14(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_163]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_79]) ).

cnf(c_0_215,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_191,c_0_79]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_19]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_28]) ).

cnf(c_0_218,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_194,c_0_28]) ).

cnf(c_0_219,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk23_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X1) ),
    inference(spm,[status(thm)],[c_0_195,c_0_14]) ).

cnf(c_0_220,plain,
    ( ~ p6(X1)
    | ~ p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ epred1_1(esk29_0)
    | ~ p7(X1)
    | ~ p8(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_196,c_0_60]) ).

cnf(c_0_222,plain,
    ( p6(X1)
    | p7(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_197,c_0_60]) ).

cnf(c_0_224,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_60]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_199,c_0_79]) ).

cnf(c_0_226,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_200,c_0_79]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_201,c_0_98]) ).

cnf(c_0_228,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_202,c_0_98]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_203,c_0_118]) ).

cnf(c_0_230,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_204,c_0_118]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_205,c_0_139]) ).

cnf(c_0_232,negated_conjecture,
    ( p7(X1)
    | p8(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_206,c_0_139]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_207,c_0_163]) ).

cnf(c_0_234,negated_conjecture,
    ( p5(X1)
    | p6(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_163]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ p3(esk36_0)
    | ~ p2(esk36_0) ),
    inference(spm,[status(thm)],[c_0_209,c_0_187]) ).

cnf(c_0_236,negated_conjecture,
    ( p3(esk36_0)
    | p4(esk36_0) ),
    inference(spm,[status(thm)],[c_0_210,c_0_187]) ).

cnf(c_0_237,negated_conjecture,
    ( p2(esk36_0)
    | ~ p15(esk36_0) ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_238,negated_conjecture,
    ( p15(esk36_0)
    | p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_187]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_214,c_0_98]) ).

cnf(c_0_240,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_98]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_216,c_0_24]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_217,c_0_32]) ).

cnf(c_0_243,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_218,c_0_32]) ).

cnf(c_0_244,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk24_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_19]) ).

cnf(c_0_245,plain,
    ( ~ p4(X1)
    | ~ p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ epred1_1(esk29_0)
    | ~ p5(X1)
    | ~ p6(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_220,c_0_60]) ).

cnf(c_0_247,plain,
    ( p4(X1)
    | p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ p7(X1)
    | ~ p8(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_63])]) ).

cnf(c_0_249,negated_conjecture,
    ( p7(X1)
    | p6(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_60]),c_0_63])]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_223,c_0_79]) ).

cnf(c_0_251,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_224,c_0_79]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_225,c_0_98]) ).

cnf(c_0_253,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_226,c_0_98]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_227,c_0_118]) ).

cnf(c_0_255,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_228,c_0_118]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_229,c_0_139]) ).

cnf(c_0_257,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_139]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ p7(X1)
    | ~ p6(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_163]) ).

cnf(c_0_259,negated_conjecture,
    ( p7(X1)
    | p8(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_232,c_0_163]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ p5(esk36_0)
    | ~ p4(esk36_0) ),
    inference(spm,[status(thm)],[c_0_233,c_0_187]) ).

cnf(c_0_261,negated_conjecture,
    ( p5(esk36_0)
    | p6(esk36_0) ),
    inference(spm,[status(thm)],[c_0_234,c_0_187]) ).

cnf(c_0_262,negated_conjecture,
    ( p4(esk36_0)
    | ~ p2(esk36_0) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_263,negated_conjecture,
    ( p2(esk36_0)
    | p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_239,c_0_118]) ).

cnf(c_0_265,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_118]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_28]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_39]) ).

cnf(c_0_268,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_243,c_0_39]) ).

cnf(c_0_269,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk25_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_244,c_0_24]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ epred1_1(esk29_0)
    | ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_60]) ).

cnf(c_0_271,plain,
    ( p2(X1)
    | p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ p5(X1)
    | ~ p6(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_63])]) ).

cnf(c_0_273,negated_conjecture,
    ( p5(X1)
    | p4(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_60]),c_0_63])]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ p7(X1)
    | ~ p8(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_79]) ).

cnf(c_0_275,negated_conjecture,
    ( p7(X1)
    | p6(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_79]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_98]) ).

cnf(c_0_277,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_251,c_0_98]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_252,c_0_118]) ).

cnf(c_0_279,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_253,c_0_118]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_254,c_0_139]) ).

cnf(c_0_281,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_255,c_0_139]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ p9(X1)
    | ~ p8(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_256,c_0_163]) ).

cnf(c_0_283,negated_conjecture,
    ( p9(X1)
    | p10(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_163]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ p7(esk36_0)
    | ~ p6(esk36_0) ),
    inference(spm,[status(thm)],[c_0_258,c_0_187]) ).

cnf(c_0_285,negated_conjecture,
    ( p7(esk36_0)
    | p8(esk36_0) ),
    inference(spm,[status(thm)],[c_0_259,c_0_187]) ).

cnf(c_0_286,negated_conjecture,
    ( p6(esk36_0)
    | ~ p4(esk36_0) ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_287,negated_conjecture,
    ( p4(esk36_0)
    | p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_139]) ).

cnf(c_0_289,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_265,c_0_139]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_266,c_0_32]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_267,c_0_48]) ).

cnf(c_0_292,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_268,c_0_48]) ).

cnf(c_0_293,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk26_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_28]) ).

cnf(c_0_294,plain,
    ( ~ p2(X1)
    | ~ p1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ epred1_1(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_63])]) ).

cnf(c_0_296,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_60]),c_0_63])]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ p5(X1)
    | ~ p6(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_272,c_0_79]) ).

cnf(c_0_298,negated_conjecture,
    ( p5(X1)
    | p4(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_273,c_0_79]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ p7(X1)
    | ~ p8(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_274,c_0_98]) ).

cnf(c_0_300,negated_conjecture,
    ( p7(X1)
    | p6(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_275,c_0_98]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_118]) ).

cnf(c_0_302,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_118]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_278,c_0_139]) ).

cnf(c_0_304,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_279,c_0_139]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ p11(X1)
    | ~ p10(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_280,c_0_163]) ).

cnf(c_0_306,negated_conjecture,
    ( p11(X1)
    | p12(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_281,c_0_163]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ p9(esk36_0)
    | ~ p8(esk36_0) ),
    inference(spm,[status(thm)],[c_0_282,c_0_187]) ).

cnf(c_0_308,negated_conjecture,
    ( p9(esk36_0)
    | p10(esk36_0) ),
    inference(spm,[status(thm)],[c_0_283,c_0_187]) ).

cnf(c_0_309,negated_conjecture,
    ( p8(esk36_0)
    | ~ p6(esk36_0) ),
    inference(spm,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_310,negated_conjecture,
    ( p6(esk36_0)
    | p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ p13(X1)
    | ~ p14(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_288,c_0_163]) ).

cnf(c_0_312,negated_conjecture,
    ( p13(X1)
    | p12(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_289,c_0_163]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_290,c_0_39]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_60]) ).

cnf(c_0_315,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_292,c_0_60]) ).

cnf(c_0_316,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk27_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_293,c_0_32]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ epred1_1(esk29_0)
    | ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_294,c_0_60]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_295,c_0_79]) ).

cnf(c_0_319,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_296,c_0_79]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ p5(X1)
    | ~ p6(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_297,c_0_98]) ).

cnf(c_0_321,negated_conjecture,
    ( p5(X1)
    | p4(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_298,c_0_98]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ p7(X1)
    | ~ p8(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_299,c_0_118]) ).

cnf(c_0_323,negated_conjecture,
    ( p7(X1)
    | p6(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_300,c_0_118]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_139]) ).

cnf(c_0_325,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_302,c_0_139]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ p11(X1)
    | ~ p12(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_303,c_0_163]) ).

cnf(c_0_327,negated_conjecture,
    ( p11(X1)
    | p10(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_304,c_0_163]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ p11(esk36_0)
    | ~ p10(esk36_0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_187]) ).

cnf(c_0_329,negated_conjecture,
    ( p11(esk36_0)
    | p12(esk36_0) ),
    inference(spm,[status(thm)],[c_0_306,c_0_187]) ).

cnf(c_0_330,negated_conjecture,
    ( p10(esk36_0)
    | ~ p8(esk36_0) ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_331,negated_conjecture,
    ( p8(esk36_0)
    | p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ p13(esk36_0)
    | ~ p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_311,c_0_187]) ).

cnf(c_0_333,negated_conjecture,
    ( p13(esk36_0)
    | p12(esk36_0) ),
    inference(spm,[status(thm)],[c_0_312,c_0_187]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_48]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_79]) ).

cnf(c_0_336,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_315,c_0_79]) ).

cnf(c_0_337,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk28_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_316,c_0_39]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_63])]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_318,c_0_98]) ).

cnf(c_0_340,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_98]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ p5(X1)
    | ~ p6(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_118]) ).

cnf(c_0_342,negated_conjecture,
    ( p5(X1)
    | p4(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_321,c_0_118]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ p7(X1)
    | ~ p8(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_139]) ).

cnf(c_0_344,negated_conjecture,
    ( p7(X1)
    | p6(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_323,c_0_139]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ p9(X1)
    | ~ p10(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_324,c_0_163]) ).

cnf(c_0_346,negated_conjecture,
    ( p9(X1)
    | p8(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_163]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ p11(esk36_0)
    | ~ p12(esk36_0) ),
    inference(spm,[status(thm)],[c_0_326,c_0_187]) ).

cnf(c_0_348,negated_conjecture,
    ( p11(esk36_0)
    | p10(esk36_0) ),
    inference(spm,[status(thm)],[c_0_327,c_0_187]) ).

cnf(c_0_349,negated_conjecture,
    ( p12(esk36_0)
    | ~ p10(esk36_0) ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_350,negated_conjecture,
    ( p10(esk36_0)
    | p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_351,negated_conjecture,
    ( p12(esk36_0)
    | ~ p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_334,c_0_60]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_335,c_0_98]) ).

cnf(c_0_354,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_336,c_0_98]) ).

cnf(c_0_355,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk29_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_337,c_0_48]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_338,c_0_79]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_339,c_0_118]) ).

cnf(c_0_358,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_118]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ p5(X1)
    | ~ p6(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_341,c_0_139]) ).

cnf(c_0_360,negated_conjecture,
    ( p5(X1)
    | p4(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_342,c_0_139]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ p7(X1)
    | ~ p8(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_343,c_0_163]) ).

cnf(c_0_362,negated_conjecture,
    ( p7(X1)
    | p6(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_344,c_0_163]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ p9(esk36_0)
    | ~ p10(esk36_0) ),
    inference(spm,[status(thm)],[c_0_345,c_0_187]) ).

cnf(c_0_364,negated_conjecture,
    ( p9(esk36_0)
    | p8(esk36_0) ),
    inference(spm,[status(thm)],[c_0_346,c_0_187]) ).

cnf(c_0_365,negated_conjecture,
    ( p10(esk36_0)
    | ~ p12(esk36_0) ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_366,negated_conjecture,
    p12(esk36_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_352,c_0_79]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_353,c_0_118]) ).

cnf(c_0_369,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_354,c_0_118]) ).

cnf(c_0_370,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk30_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_355,c_0_60]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_356,c_0_98]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_357,c_0_139]) ).

cnf(c_0_373,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_358,c_0_139]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ p5(X1)
    | ~ p6(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_359,c_0_163]) ).

cnf(c_0_375,negated_conjecture,
    ( p5(X1)
    | p4(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_360,c_0_163]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ p7(esk36_0)
    | ~ p8(esk36_0) ),
    inference(spm,[status(thm)],[c_0_361,c_0_187]) ).

cnf(c_0_377,negated_conjecture,
    ( p7(esk36_0)
    | p6(esk36_0) ),
    inference(spm,[status(thm)],[c_0_362,c_0_187]) ).

cnf(c_0_378,negated_conjecture,
    ( p8(esk36_0)
    | ~ p10(esk36_0) ),
    inference(spm,[status(thm)],[c_0_363,c_0_364]) ).

cnf(c_0_379,negated_conjecture,
    p10(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_366])]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_367,c_0_98]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_368,c_0_139]) ).

cnf(c_0_382,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_369,c_0_139]) ).

cnf(c_0_383,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk31_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_370,c_0_79]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_371,c_0_118]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_372,c_0_163]) ).

cnf(c_0_386,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_373,c_0_163]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ p5(esk36_0)
    | ~ p6(esk36_0) ),
    inference(spm,[status(thm)],[c_0_374,c_0_187]) ).

cnf(c_0_388,negated_conjecture,
    ( p5(esk36_0)
    | p4(esk36_0) ),
    inference(spm,[status(thm)],[c_0_375,c_0_187]) ).

cnf(c_0_389,negated_conjecture,
    ( p6(esk36_0)
    | ~ p8(esk36_0) ),
    inference(spm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_390,negated_conjecture,
    p8(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_379])]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_380,c_0_118]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ p13(X1)
    | ~ p12(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_381,c_0_163]) ).

cnf(c_0_393,negated_conjecture,
    ( p13(X1)
    | p14(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_382,c_0_163]) ).

cnf(c_0_394,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk32_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_383,c_0_98]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_384,c_0_139]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ p3(esk36_0)
    | ~ p4(esk36_0) ),
    inference(spm,[status(thm)],[c_0_385,c_0_187]) ).

cnf(c_0_397,negated_conjecture,
    ( p3(esk36_0)
    | p2(esk36_0) ),
    inference(spm,[status(thm)],[c_0_386,c_0_187]) ).

cnf(c_0_398,negated_conjecture,
    ( p4(esk36_0)
    | ~ p6(esk36_0) ),
    inference(spm,[status(thm)],[c_0_387,c_0_388]) ).

cnf(c_0_399,negated_conjecture,
    p6(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_390])]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_391,c_0_139]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ p13(esk36_0)
    | ~ p12(esk36_0) ),
    inference(spm,[status(thm)],[c_0_392,c_0_187]) ).

cnf(c_0_402,negated_conjecture,
    ( p13(esk36_0)
    | p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_393,c_0_187]) ).

cnf(c_0_403,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk33_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_394,c_0_118]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_395,c_0_163]) ).

cnf(c_0_405,negated_conjecture,
    ( p2(esk36_0)
    | ~ p4(esk36_0) ),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_406,negated_conjecture,
    p4(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_399])]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ p15(X1)
    | ~ p14(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_400,c_0_163]) ).

cnf(c_0_408,negated_conjecture,
    ( p14(esk36_0)
    | ~ p12(esk36_0) ),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_409,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk34_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_403,c_0_139]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ p1(esk36_0)
    | ~ p2(esk36_0) ),
    inference(spm,[status(thm)],[c_0_404,c_0_187]) ).

cnf(c_0_411,negated_conjecture,
    p2(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_406])]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ p15(esk36_0)
    | ~ p14(esk36_0) ),
    inference(spm,[status(thm)],[c_0_407,c_0_187]) ).

cnf(c_0_413,negated_conjecture,
    p14(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_408,c_0_366])]) ).

cnf(c_0_414,negated_conjecture,
    ( p1(X1)
    | p15(X1)
    | ~ r1(esk35_0,X1) ),
    inference(spm,[status(thm)],[c_0_409,c_0_163]) ).

cnf(c_0_415,negated_conjecture,
    ~ p1(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_411])]) ).

cnf(c_0_416,negated_conjecture,
    ~ p15(esk36_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_412,c_0_413])]) ).

cnf(c_0_417,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_187]),c_0_415]),c_0_416]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL650+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 19:27:24 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 7.77/8.02  % Version  : CSE_E---1.5
% 7.77/8.02  % Problem  : theBenchmark.p
% 7.77/8.02  % Proof found
% 7.77/8.02  % SZS status Theorem for theBenchmark.p
% 7.77/8.02  % SZS output start Proof
% See solution above
% 7.99/8.03  % Total time : 7.435000 s
% 7.99/8.03  % SZS output end Proof
% 7.99/8.03  % Total time : 7.441000 s
%------------------------------------------------------------------------------