TSTP Solution File: LCL656+1.020 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL656+1.020 : 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 : n021.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 06:57:26 EDT 2023

% Result   : Theorem 81.24s 81.30s
% Output   : CNFRefutation 81.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   91
%            Number of leaves      :   89
% Syntax   : Number of formulae    :  268 (   9 unt;  86 typ;   0 def)
%            Number of atoms       : 3584 (   0 equ)
%            Maximal formula atoms :  955 (  19 avg)
%            Number of connectives : 6008 (2606   ~;2565   |; 835   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  269 (  11 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   86 (  85   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   46 (  45 usr;   1 prp; 0-2 aty)
%            Number of functors    :   41 (  41 usr;   1 con; 0-1 aty)
%            Number of variables   :  985 (   0 sgn; 413   !;   2   ?;   0   :)

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

tff(decl_23,type,
    p8: $i > $o ).

tff(decl_24,type,
    p21: $i > $o ).

tff(decl_25,type,
    p121: $i > $o ).

tff(decl_26,type,
    p120: $i > $o ).

tff(decl_27,type,
    p119: $i > $o ).

tff(decl_28,type,
    p20: $i > $o ).

tff(decl_29,type,
    p118: $i > $o ).

tff(decl_30,type,
    p19: $i > $o ).

tff(decl_31,type,
    p117: $i > $o ).

tff(decl_32,type,
    p18: $i > $o ).

tff(decl_33,type,
    p116: $i > $o ).

tff(decl_34,type,
    p17: $i > $o ).

tff(decl_35,type,
    p115: $i > $o ).

tff(decl_36,type,
    p16: $i > $o ).

tff(decl_37,type,
    p114: $i > $o ).

tff(decl_38,type,
    p15: $i > $o ).

tff(decl_39,type,
    p113: $i > $o ).

tff(decl_40,type,
    p14: $i > $o ).

tff(decl_41,type,
    p112: $i > $o ).

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

tff(decl_43,type,
    p111: $i > $o ).

tff(decl_44,type,
    p12: $i > $o ).

tff(decl_45,type,
    p110: $i > $o ).

tff(decl_46,type,
    p11: $i > $o ).

tff(decl_47,type,
    p109: $i > $o ).

tff(decl_48,type,
    p10: $i > $o ).

tff(decl_49,type,
    p108: $i > $o ).

tff(decl_50,type,
    p9: $i > $o ).

tff(decl_51,type,
    p107: $i > $o ).

tff(decl_52,type,
    p106: $i > $o ).

tff(decl_53,type,
    p7: $i > $o ).

tff(decl_54,type,
    p105: $i > $o ).

tff(decl_55,type,
    p6: $i > $o ).

tff(decl_56,type,
    p104: $i > $o ).

tff(decl_57,type,
    p5: $i > $o ).

tff(decl_58,type,
    p103: $i > $o ).

tff(decl_59,type,
    p4: $i > $o ).

tff(decl_60,type,
    p102: $i > $o ).

tff(decl_61,type,
    p3: $i > $o ).

tff(decl_62,type,
    p101: $i > $o ).

tff(decl_63,type,
    p2: $i > $o ).

tff(decl_64,type,
    p100: $i > $o ).

tff(decl_65,type,
    p1: $i > $o ).

tff(decl_66,type,
    epred1_1: $i > $o ).

tff(decl_67,type,
    esk1_0: $i ).

tff(decl_68,type,
    esk2_1: $i > $i ).

tff(decl_69,type,
    esk3_1: $i > $i ).

tff(decl_70,type,
    esk4_1: $i > $i ).

tff(decl_71,type,
    esk5_1: $i > $i ).

tff(decl_72,type,
    esk6_1: $i > $i ).

tff(decl_73,type,
    esk7_1: $i > $i ).

tff(decl_74,type,
    esk8_1: $i > $i ).

tff(decl_75,type,
    esk9_1: $i > $i ).

tff(decl_76,type,
    esk10_1: $i > $i ).

tff(decl_77,type,
    esk11_1: $i > $i ).

tff(decl_78,type,
    esk12_1: $i > $i ).

tff(decl_79,type,
    esk13_1: $i > $i ).

tff(decl_80,type,
    esk14_1: $i > $i ).

tff(decl_81,type,
    esk15_1: $i > $i ).

tff(decl_82,type,
    esk16_1: $i > $i ).

tff(decl_83,type,
    esk17_1: $i > $i ).

tff(decl_84,type,
    esk18_1: $i > $i ).

tff(decl_85,type,
    esk19_1: $i > $i ).

tff(decl_86,type,
    esk20_1: $i > $i ).

tff(decl_87,type,
    esk21_1: $i > $i ).

tff(decl_88,type,
    esk22_1: $i > $i ).

tff(decl_89,type,
    esk23_1: $i > $i ).

tff(decl_90,type,
    esk24_1: $i > $i ).

tff(decl_91,type,
    esk25_1: $i > $i ).

tff(decl_92,type,
    esk26_1: $i > $i ).

tff(decl_93,type,
    esk27_1: $i > $i ).

tff(decl_94,type,
    esk28_1: $i > $i ).

tff(decl_95,type,
    esk29_1: $i > $i ).

tff(decl_96,type,
    esk30_1: $i > $i ).

tff(decl_97,type,
    esk31_1: $i > $i ).

tff(decl_98,type,
    esk32_1: $i > $i ).

tff(decl_99,type,
    esk33_1: $i > $i ).

tff(decl_100,type,
    esk34_1: $i > $i ).

tff(decl_101,type,
    esk35_1: $i > $i ).

tff(decl_102,type,
    esk36_1: $i > $i ).

tff(decl_103,type,
    esk37_1: $i > $i ).

tff(decl_104,type,
    esk38_1: $i > $i ).

tff(decl_105,type,
    esk39_1: $i > $i ).

tff(decl_106,type,
    esk40_1: $i > $i ).

tff(decl_107,type,
    esk41_1: $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)
                                                                            | ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | p8(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)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ( ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p21(X2)
                                                                                                              & ~ p121(X2)
                                                                                                              & p120(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p21(X2)
                                                                                                              & ~ p121(X2)
                                                                                                              & p120(X2) ) ) )
                                                                                                  | ~ ( ~ p120(X1)
                                                                                                      & p119(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p20(X2)
                                                                                                              & ~ p120(X2)
                                                                                                              & p119(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p20(X2)
                                                                                                              & ~ p120(X2)
                                                                                                              & p119(X2) ) ) )
                                                                                                  | ~ ( ~ p119(X1)
                                                                                                      & p118(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p19(X2)
                                                                                                              & ~ p119(X2)
                                                                                                              & p118(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p19(X2)
                                                                                                              & ~ p119(X2)
                                                                                                              & p118(X2) ) ) )
                                                                                                  | ~ ( ~ p118(X1)
                                                                                                      & p117(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p18(X2)
                                                                                                              & ~ p118(X2)
                                                                                                              & p117(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p18(X2)
                                                                                                              & ~ p118(X2)
                                                                                                              & p117(X2) ) ) )
                                                                                                  | ~ ( ~ p117(X1)
                                                                                                      & p116(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p17(X2)
                                                                                                              & ~ p117(X2)
                                                                                                              & p116(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p17(X2)
                                                                                                              & ~ p117(X2)
                                                                                                              & p116(X2) ) ) )
                                                                                                  | ~ ( ~ p116(X1)
                                                                                                      & p115(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p16(X2)
                                                                                                              & ~ p116(X2)
                                                                                                              & p115(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p16(X2)
                                                                                                              & ~ p116(X2)
                                                                                                              & p115(X2) ) ) )
                                                                                                  | ~ ( ~ p115(X1)
                                                                                                      & p114(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p15(X2)
                                                                                                              & ~ p115(X2)
                                                                                                              & p114(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p15(X2)
                                                                                                              & ~ p115(X2)
                                                                                                              & p114(X2) ) ) )
                                                                                                  | ~ ( ~ p114(X1)
                                                                                                      & p113(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p14(X2)
                                                                                                              & ~ p114(X2)
                                                                                                              & p113(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p14(X2)
                                                                                                              & ~ p114(X2)
                                                                                                              & p113(X2) ) ) )
                                                                                                  | ~ ( ~ p113(X1)
                                                                                                      & p112(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p13(X2)
                                                                                                              & ~ p113(X2)
                                                                                                              & p112(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p13(X2)
                                                                                                              & ~ p113(X2)
                                                                                                              & p112(X2) ) ) )
                                                                                                  | ~ ( ~ p112(X1)
                                                                                                      & p111(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p12(X2)
                                                                                                              & ~ p112(X2)
                                                                                                              & p111(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p12(X2)
                                                                                                              & ~ p112(X2)
                                                                                                              & p111(X2) ) ) )
                                                                                                  | ~ ( ~ p111(X1)
                                                                                                      & p110(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p11(X2)
                                                                                                              & ~ p111(X2)
                                                                                                              & p110(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p11(X2)
                                                                                                              & ~ p111(X2)
                                                                                                              & p110(X2) ) ) )
                                                                                                  | ~ ( ~ p110(X1)
                                                                                                      & p109(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p10(X2)
                                                                                                              & ~ p110(X2)
                                                                                                              & p109(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p10(X2)
                                                                                                              & ~ p110(X2)
                                                                                                              & p109(X2) ) ) )
                                                                                                  | ~ ( ~ p109(X1)
                                                                                                      & p108(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p9(X2)
                                                                                                              & ~ p109(X2)
                                                                                                              & p108(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p9(X2)
                                                                                                              & ~ p109(X2)
                                                                                                              & p108(X2) ) ) )
                                                                                                  | ~ ( ~ p108(X1)
                                                                                                      & p107(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p8(X2)
                                                                                                              & ~ p108(X2)
                                                                                                              & p107(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p8(X2)
                                                                                                              & ~ p108(X2)
                                                                                                              & p107(X2) ) ) )
                                                                                                  | ~ ( ~ p107(X1)
                                                                                                      & p106(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p7(X2)
                                                                                                              & ~ p107(X2)
                                                                                                              & p106(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p7(X2)
                                                                                                              & ~ p107(X2)
                                                                                                              & p106(X2) ) ) )
                                                                                                  | ~ ( ~ p106(X1)
                                                                                                      & p105(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p6(X2)
                                                                                                              & ~ p106(X2)
                                                                                                              & p105(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p6(X2)
                                                                                                              & ~ p106(X2)
                                                                                                              & p105(X2) ) ) )
                                                                                                  | ~ ( ~ p105(X1)
                                                                                                      & p104(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p5(X2)
                                                                                                              & ~ p105(X2)
                                                                                                              & p104(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p5(X2)
                                                                                                              & ~ p105(X2)
                                                                                                              & p104(X2) ) ) )
                                                                                                  | ~ ( ~ p104(X1)
                                                                                                      & p103(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p4(X2)
                                                                                                              & ~ p104(X2)
                                                                                                              & p103(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p4(X2)
                                                                                                              & ~ p104(X2)
                                                                                                              & p103(X2) ) ) )
                                                                                                  | ~ ( ~ p103(X1)
                                                                                                      & p102(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p3(X2)
                                                                                                              & ~ p103(X2)
                                                                                                              & p102(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p3(X2)
                                                                                                              & ~ p103(X2)
                                                                                                              & p102(X2) ) ) )
                                                                                                  | ~ ( ~ p102(X1)
                                                                                                      & p101(X1) ) )
                                                                                                & ( ( ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( ~ p2(X2)
                                                                                                              & ~ p102(X2)
                                                                                                              & p101(X2) ) )
                                                                                                    & ~ ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ ( p2(X2)
                                                                                                              & ~ p102(X2)
                                                                                                              & p101(X2) ) ) )
                                                                                                  | ~ ( ~ p101(X1)
                                                                                                      & p100(X1) ) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p21(X2)
                                                                                                          | ~ p120(X2) )
                                                                                                      | p21(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p21(X2)
                                                                                                          | ~ p120(X2) )
                                                                                                      | ~ p21(X1) ) )
                                                                                                  | ~ p120(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p20(X2)
                                                                                                          | ~ p119(X2) )
                                                                                                      | p20(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p20(X2)
                                                                                                          | ~ p119(X2) )
                                                                                                      | ~ p20(X1) ) )
                                                                                                  | ~ p119(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p19(X2)
                                                                                                          | ~ p118(X2) )
                                                                                                      | p19(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p19(X2)
                                                                                                          | ~ p118(X2) )
                                                                                                      | ~ p19(X1) ) )
                                                                                                  | ~ p118(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p18(X2)
                                                                                                          | ~ p117(X2) )
                                                                                                      | p18(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p18(X2)
                                                                                                          | ~ p117(X2) )
                                                                                                      | ~ p18(X1) ) )
                                                                                                  | ~ p117(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p17(X2)
                                                                                                          | ~ p116(X2) )
                                                                                                      | p17(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p17(X2)
                                                                                                          | ~ p116(X2) )
                                                                                                      | ~ p17(X1) ) )
                                                                                                  | ~ p116(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p16(X2)
                                                                                                          | ~ p115(X2) )
                                                                                                      | p16(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p16(X2)
                                                                                                          | ~ p115(X2) )
                                                                                                      | ~ p16(X1) ) )
                                                                                                  | ~ p115(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p15(X2)
                                                                                                          | ~ p114(X2) )
                                                                                                      | p15(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p15(X2)
                                                                                                          | ~ p114(X2) )
                                                                                                      | ~ p15(X1) ) )
                                                                                                  | ~ p114(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p14(X2)
                                                                                                          | ~ p113(X2) )
                                                                                                      | p14(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p14(X2)
                                                                                                          | ~ p113(X2) )
                                                                                                      | ~ p14(X1) ) )
                                                                                                  | ~ p113(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p13(X2)
                                                                                                          | ~ p112(X2) )
                                                                                                      | p13(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p13(X2)
                                                                                                          | ~ p112(X2) )
                                                                                                      | ~ p13(X1) ) )
                                                                                                  | ~ p112(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p12(X2)
                                                                                                          | ~ p111(X2) )
                                                                                                      | p12(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p12(X2)
                                                                                                          | ~ p111(X2) )
                                                                                                      | ~ p12(X1) ) )
                                                                                                  | ~ p111(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p11(X2)
                                                                                                          | ~ p110(X2) )
                                                                                                      | p11(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p11(X2)
                                                                                                          | ~ p110(X2) )
                                                                                                      | ~ p11(X1) ) )
                                                                                                  | ~ p110(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p10(X2)
                                                                                                          | ~ p109(X2) )
                                                                                                      | p10(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p10(X2)
                                                                                                          | ~ p109(X2) )
                                                                                                      | ~ p10(X1) ) )
                                                                                                  | ~ p109(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p9(X2)
                                                                                                          | ~ p108(X2) )
                                                                                                      | p9(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p9(X2)
                                                                                                          | ~ p108(X2) )
                                                                                                      | ~ p9(X1) ) )
                                                                                                  | ~ p108(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p8(X2)
                                                                                                          | ~ p107(X2) )
                                                                                                      | p8(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p8(X2)
                                                                                                          | ~ p107(X2) )
                                                                                                      | ~ p8(X1) ) )
                                                                                                  | ~ p107(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p7(X2)
                                                                                                          | ~ p106(X2) )
                                                                                                      | p7(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p7(X2)
                                                                                                          | ~ p106(X2) )
                                                                                                      | ~ p7(X1) ) )
                                                                                                  | ~ p106(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p6(X2)
                                                                                                          | ~ p105(X2) )
                                                                                                      | p6(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p6(X2)
                                                                                                          | ~ p105(X2) )
                                                                                                      | ~ p6(X1) ) )
                                                                                                  | ~ p105(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p5(X2)
                                                                                                          | ~ p104(X2) )
                                                                                                      | p5(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p5(X2)
                                                                                                          | ~ p104(X2) )
                                                                                                      | ~ p5(X1) ) )
                                                                                                  | ~ p104(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p4(X2)
                                                                                                          | ~ p103(X2) )
                                                                                                      | p4(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p4(X2)
                                                                                                          | ~ p103(X2) )
                                                                                                      | ~ p4(X1) ) )
                                                                                                  | ~ p103(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p3(X2)
                                                                                                          | ~ p102(X2) )
                                                                                                      | p3(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p3(X2)
                                                                                                          | ~ p102(X2) )
                                                                                                      | ~ p3(X1) ) )
                                                                                                  | ~ p102(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p2(X2)
                                                                                                          | ~ p101(X2) )
                                                                                                      | p2(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p2(X2)
                                                                                                          | ~ p101(X2) )
                                                                                                      | ~ p2(X1) ) )
                                                                                                  | ~ p101(X1) )
                                                                                                & ( ( ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ~ p1(X2)
                                                                                                          | ~ p100(X2) )
                                                                                                      | p1(X1) )
                                                                                                    & ( ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | p1(X2)
                                                                                                          | ~ p100(X2) )
                                                                                                      | ~ p1(X1) ) )
                                                                                                  | ~ p100(X1) )
                                                                                                & ( p120(X1)
                                                                                                  | ~ p121(X1) )
                                                                                                & ( p119(X1)
                                                                                                  | ~ p120(X1) )
                                                                                                & ( p118(X1)
                                                                                                  | ~ p119(X1) )
                                                                                                & ( p117(X1)
                                                                                                  | ~ p118(X1) )
                                                                                                & ( p116(X1)
                                                                                                  | ~ p117(X1) )
                                                                                                & ( p115(X1)
                                                                                                  | ~ p116(X1) )
                                                                                                & ( p114(X1)
                                                                                                  | ~ p115(X1) )
                                                                                                & ( p113(X1)
                                                                                                  | ~ p114(X1) )
                                                                                                & ( p112(X1)
                                                                                                  | ~ p113(X1) )
                                                                                                & ( p111(X1)
                                                                                                  | ~ p112(X1) )
                                                                                                & ( p110(X1)
                                                                                                  | ~ p111(X1) )
                                                                                                & ( p109(X1)
                                                                                                  | ~ p110(X1) )
                                                                                                & ( p108(X1)
                                                                                                  | ~ p109(X1) )
                                                                                                & ( p107(X1)
                                                                                                  | ~ p108(X1) )
                                                                                                & ( p106(X1)
                                                                                                  | ~ p107(X1) )
                                                                                                & ( p105(X1)
                                                                                                  | ~ p106(X1) )
                                                                                                & ( p104(X1)
                                                                                                  | ~ p105(X1) )
                                                                                                & ( p103(X1)
                                                                                                  | ~ p104(X1) )
                                                                                                & ( p102(X1)
                                                                                                  | ~ p103(X1) )
                                                                                                & ( p101(X1)
                                                                                                  | ~ p102(X1) )
                                                                                                & ( p100(X1)
                                                                                                  | ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ~ p101(X1)
              & p100(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(c_0_2,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ( ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p21(X2)
                      & ~ p121(X2)
                      & p120(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p21(X2)
                      & ~ p121(X2)
                      & p120(X2) ) ) )
          | ~ ( ~ p120(X1)
              & p119(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p20(X2)
                      & ~ p120(X2)
                      & p119(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p20(X2)
                      & ~ p120(X2)
                      & p119(X2) ) ) )
          | ~ ( ~ p119(X1)
              & p118(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p19(X2)
                      & ~ p119(X2)
                      & p118(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p19(X2)
                      & ~ p119(X2)
                      & p118(X2) ) ) )
          | ~ ( ~ p118(X1)
              & p117(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p18(X2)
                      & ~ p118(X2)
                      & p117(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p18(X2)
                      & ~ p118(X2)
                      & p117(X2) ) ) )
          | ~ ( ~ p117(X1)
              & p116(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p17(X2)
                      & ~ p117(X2)
                      & p116(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p17(X2)
                      & ~ p117(X2)
                      & p116(X2) ) ) )
          | ~ ( ~ p116(X1)
              & p115(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p16(X2)
                      & ~ p116(X2)
                      & p115(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p16(X2)
                      & ~ p116(X2)
                      & p115(X2) ) ) )
          | ~ ( ~ p115(X1)
              & p114(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p15(X2)
                      & ~ p115(X2)
                      & p114(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p15(X2)
                      & ~ p115(X2)
                      & p114(X2) ) ) )
          | ~ ( ~ p114(X1)
              & p113(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p14(X2)
                      & ~ p114(X2)
                      & p113(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p14(X2)
                      & ~ p114(X2)
                      & p113(X2) ) ) )
          | ~ ( ~ p113(X1)
              & p112(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p13(X2)
                      & ~ p113(X2)
                      & p112(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p13(X2)
                      & ~ p113(X2)
                      & p112(X2) ) ) )
          | ~ ( ~ p112(X1)
              & p111(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p12(X2)
                      & ~ p112(X2)
                      & p111(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p12(X2)
                      & ~ p112(X2)
                      & p111(X2) ) ) )
          | ~ ( ~ p111(X1)
              & p110(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p11(X2)
                      & ~ p111(X2)
                      & p110(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p11(X2)
                      & ~ p111(X2)
                      & p110(X2) ) ) )
          | ~ ( ~ p110(X1)
              & p109(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p10(X2)
                      & ~ p110(X2)
                      & p109(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p10(X2)
                      & ~ p110(X2)
                      & p109(X2) ) ) )
          | ~ ( ~ p109(X1)
              & p108(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p9(X2)
                      & ~ p109(X2)
                      & p108(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p9(X2)
                      & ~ p109(X2)
                      & p108(X2) ) ) )
          | ~ ( ~ p108(X1)
              & p107(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p8(X2)
                      & ~ p108(X2)
                      & p107(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p8(X2)
                      & ~ p108(X2)
                      & p107(X2) ) ) )
          | ~ ( ~ p107(X1)
              & p106(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p7(X2)
                      & ~ p107(X2)
                      & p106(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p7(X2)
                      & ~ p107(X2)
                      & p106(X2) ) ) )
          | ~ ( ~ p106(X1)
              & p105(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) ) )
          | ~ ( ~ p105(X1)
              & p104(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) ) )
          | ~ ( ~ p104(X1)
              & p103(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) ) )
          | ~ ( ~ p103(X1)
              & p102(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) ) )
          | ~ ( ~ p102(X1)
              & p101(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) ) )
          | ~ ( ~ p101(X1)
              & p100(X1) ) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p21(X2)
                  | ~ p120(X2) )
              | p21(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p21(X2)
                  | ~ p120(X2) )
              | ~ p21(X1) ) )
          | ~ p120(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p20(X2)
                  | ~ p119(X2) )
              | p20(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p20(X2)
                  | ~ p119(X2) )
              | ~ p20(X1) ) )
          | ~ p119(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p19(X2)
                  | ~ p118(X2) )
              | p19(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p19(X2)
                  | ~ p118(X2) )
              | ~ p19(X1) ) )
          | ~ p118(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p18(X2)
                  | ~ p117(X2) )
              | p18(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p18(X2)
                  | ~ p117(X2) )
              | ~ p18(X1) ) )
          | ~ p117(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p17(X2)
                  | ~ p116(X2) )
              | p17(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p17(X2)
                  | ~ p116(X2) )
              | ~ p17(X1) ) )
          | ~ p116(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p16(X2)
                  | ~ p115(X2) )
              | p16(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p16(X2)
                  | ~ p115(X2) )
              | ~ p16(X1) ) )
          | ~ p115(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p15(X2)
                  | ~ p114(X2) )
              | p15(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p15(X2)
                  | ~ p114(X2) )
              | ~ p15(X1) ) )
          | ~ p114(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p14(X2)
                  | ~ p113(X2) )
              | p14(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p14(X2)
                  | ~ p113(X2) )
              | ~ p14(X1) ) )
          | ~ p113(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p13(X2)
                  | ~ p112(X2) )
              | p13(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p13(X2)
                  | ~ p112(X2) )
              | ~ p13(X1) ) )
          | ~ p112(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p12(X2)
                  | ~ p111(X2) )
              | p12(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p12(X2)
                  | ~ p111(X2) )
              | ~ p12(X1) ) )
          | ~ p111(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p11(X2)
                  | ~ p110(X2) )
              | p11(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p11(X2)
                  | ~ p110(X2) )
              | ~ p11(X1) ) )
          | ~ p110(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p10(X2)
                  | ~ p109(X2) )
              | p10(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p10(X2)
                  | ~ p109(X2) )
              | ~ p10(X1) ) )
          | ~ p109(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p9(X2)
                  | ~ p108(X2) )
              | p9(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p9(X2)
                  | ~ p108(X2) )
              | ~ p9(X1) ) )
          | ~ p108(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p8(X2)
                  | ~ p107(X2) )
              | p8(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p8(X2)
                  | ~ p107(X2) )
              | ~ p8(X1) ) )
          | ~ p107(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p7(X2)
                  | ~ p106(X2) )
              | p7(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p7(X2)
                  | ~ p106(X2) )
              | ~ p7(X1) ) )
          | ~ p106(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p6(X2)
                  | ~ p105(X2) )
              | p6(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2)
                  | ~ p105(X2) )
              | ~ p6(X1) ) )
          | ~ p105(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p5(X2)
                  | ~ p104(X2) )
              | p5(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p5(X2)
                  | ~ p104(X2) )
              | ~ p5(X1) ) )
          | ~ p104(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2)
                  | ~ p103(X2) )
              | p4(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2)
                  | ~ p103(X2) )
              | ~ p4(X1) ) )
          | ~ p103(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p3(X2)
                  | ~ p102(X2) )
              | p3(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p3(X2)
                  | ~ p102(X2) )
              | ~ p3(X1) ) )
          | ~ p102(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p2(X2)
                  | ~ p101(X2) )
              | p2(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2)
                  | ~ p101(X2) )
              | ~ p2(X1) ) )
          | ~ p101(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p1(X2)
                  | ~ p100(X2) )
              | p1(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2)
                  | ~ p100(X2) )
              | ~ p1(X1) ) )
          | ~ p100(X1) )
        & ( p120(X1)
          | ~ p121(X1) )
        & ( p119(X1)
          | ~ p120(X1) )
        & ( p118(X1)
          | ~ p119(X1) )
        & ( p117(X1)
          | ~ p118(X1) )
        & ( p116(X1)
          | ~ p117(X1) )
        & ( p115(X1)
          | ~ p116(X1) )
        & ( p114(X1)
          | ~ p115(X1) )
        & ( p113(X1)
          | ~ p114(X1) )
        & ( p112(X1)
          | ~ p113(X1) )
        & ( p111(X1)
          | ~ p112(X1) )
        & ( p110(X1)
          | ~ p111(X1) )
        & ( p109(X1)
          | ~ p110(X1) )
        & ( p108(X1)
          | ~ p109(X1) )
        & ( p107(X1)
          | ~ p108(X1) )
        & ( p106(X1)
          | ~ p107(X1) )
        & ( p105(X1)
          | ~ p106(X1) )
        & ( p104(X1)
          | ~ p105(X1) )
        & ( p103(X1)
          | ~ p104(X1) )
        & ( p102(X1)
          | ~ p103(X1) )
        & ( p101(X1)
          | ~ p102(X1) )
        & ( p100(X1)
          | ~ p101(X1) ) ) ),
    introduced(definition) ).

fof(c_0_3,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)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | p8(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)
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ! [X2] :
                                                                                            ( ~ r1(X1,X2)
                                                                                            | ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | epred1_1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                & ~ p101(X1)
                & p100(X1) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ! [X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44] :
      ( ( ~ r1(esk1_0,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,X16)
        | ~ r1(X16,X17)
        | ~ r1(X17,X18)
        | ~ r1(X18,X19)
        | ~ r1(X19,X20)
        | ~ r1(X20,X21)
        | ~ r1(X21,X22)
        | ~ r1(X22,X23)
        | ~ r1(X23,X24)
        | p8(X24) )
      & ( ~ r1(esk1_0,X25)
        | ~ r1(X25,X26)
        | ~ r1(X26,X27)
        | ~ r1(X27,X28)
        | ~ r1(X28,X29)
        | ~ r1(X29,X30)
        | ~ r1(X30,X31)
        | ~ r1(X31,X32)
        | ~ r1(X32,X33)
        | ~ r1(X33,X34)
        | ~ r1(X34,X35)
        | ~ r1(X35,X36)
        | ~ r1(X36,X37)
        | ~ r1(X37,X38)
        | ~ r1(X38,X39)
        | ~ r1(X39,X40)
        | ~ r1(X40,X41)
        | ~ r1(X41,X42)
        | ~ r1(X42,X43)
        | ~ r1(X43,X44)
        | epred1_1(X44) )
      & ~ p101(esk1_0)
      & p100(esk1_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

fof(c_0_5,plain,
    ! [X3] : r1(X3,X3),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_6,negated_conjecture,
    ( epred1_1(X20)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,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,X16)
    | ~ r1(X16,X17)
    | ~ r1(X17,X18)
    | ~ r1(X18,X19)
    | ~ r1(X19,X20) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X17,X16)
    | ~ r1(X18,X17)
    | ~ r1(X19,X18)
    | ~ r1(X2,X19) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X17,X16)
    | ~ r1(X18,X17)
    | ~ r1(X2,X18) ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X17,X16)
    | ~ r1(X2,X17) ),
    inference(spm,[status(thm)],[c_0_9,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X16) ),
    inference(spm,[status(thm)],[c_0_10,c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X15) ),
    inference(spm,[status(thm)],[c_0_11,c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X14) ),
    inference(spm,[status(thm)],[c_0_12,c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X13) ),
    inference(spm,[status(thm)],[c_0_13,c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X12) ),
    inference(spm,[status(thm)],[c_0_14,c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X11) ),
    inference(spm,[status(thm)],[c_0_15,c_0_7]) ).

cnf(c_0_17,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X2,X10) ),
    inference(spm,[status(thm)],[c_0_16,c_0_7]) ).

cnf(c_0_18,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X2,X9) ),
    inference(spm,[status(thm)],[c_0_17,c_0_7]) ).

cnf(c_0_19,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X2,X8) ),
    inference(spm,[status(thm)],[c_0_18,c_0_7]) ).

cnf(c_0_20,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X2,X7) ),
    inference(spm,[status(thm)],[c_0_19,c_0_7]) ).

cnf(c_0_21,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X2,X6) ),
    inference(spm,[status(thm)],[c_0_20,c_0_7]) ).

cnf(c_0_22,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X2,X5) ),
    inference(spm,[status(thm)],[c_0_21,c_0_7]) ).

cnf(c_0_23,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(spm,[status(thm)],[c_0_22,c_0_7]) ).

fof(c_0_24,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ( ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p21(X2)
                      & ~ p121(X2)
                      & p120(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p21(X2)
                      & ~ p121(X2)
                      & p120(X2) ) ) )
          | ~ ( ~ p120(X1)
              & p119(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p20(X2)
                      & ~ p120(X2)
                      & p119(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p20(X2)
                      & ~ p120(X2)
                      & p119(X2) ) ) )
          | ~ ( ~ p119(X1)
              & p118(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p19(X2)
                      & ~ p119(X2)
                      & p118(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p19(X2)
                      & ~ p119(X2)
                      & p118(X2) ) ) )
          | ~ ( ~ p118(X1)
              & p117(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p18(X2)
                      & ~ p118(X2)
                      & p117(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p18(X2)
                      & ~ p118(X2)
                      & p117(X2) ) ) )
          | ~ ( ~ p117(X1)
              & p116(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p17(X2)
                      & ~ p117(X2)
                      & p116(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p17(X2)
                      & ~ p117(X2)
                      & p116(X2) ) ) )
          | ~ ( ~ p116(X1)
              & p115(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p16(X2)
                      & ~ p116(X2)
                      & p115(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p16(X2)
                      & ~ p116(X2)
                      & p115(X2) ) ) )
          | ~ ( ~ p115(X1)
              & p114(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p15(X2)
                      & ~ p115(X2)
                      & p114(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p15(X2)
                      & ~ p115(X2)
                      & p114(X2) ) ) )
          | ~ ( ~ p114(X1)
              & p113(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p14(X2)
                      & ~ p114(X2)
                      & p113(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p14(X2)
                      & ~ p114(X2)
                      & p113(X2) ) ) )
          | ~ ( ~ p113(X1)
              & p112(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p13(X2)
                      & ~ p113(X2)
                      & p112(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p13(X2)
                      & ~ p113(X2)
                      & p112(X2) ) ) )
          | ~ ( ~ p112(X1)
              & p111(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p12(X2)
                      & ~ p112(X2)
                      & p111(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p12(X2)
                      & ~ p112(X2)
                      & p111(X2) ) ) )
          | ~ ( ~ p111(X1)
              & p110(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p11(X2)
                      & ~ p111(X2)
                      & p110(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p11(X2)
                      & ~ p111(X2)
                      & p110(X2) ) ) )
          | ~ ( ~ p110(X1)
              & p109(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p10(X2)
                      & ~ p110(X2)
                      & p109(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p10(X2)
                      & ~ p110(X2)
                      & p109(X2) ) ) )
          | ~ ( ~ p109(X1)
              & p108(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p9(X2)
                      & ~ p109(X2)
                      & p108(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p9(X2)
                      & ~ p109(X2)
                      & p108(X2) ) ) )
          | ~ ( ~ p108(X1)
              & p107(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p8(X2)
                      & ~ p108(X2)
                      & p107(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p8(X2)
                      & ~ p108(X2)
                      & p107(X2) ) ) )
          | ~ ( ~ p107(X1)
              & p106(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p7(X2)
                      & ~ p107(X2)
                      & p106(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p7(X2)
                      & ~ p107(X2)
                      & p106(X2) ) ) )
          | ~ ( ~ p106(X1)
              & p105(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) ) )
          | ~ ( ~ p105(X1)
              & p104(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) ) )
          | ~ ( ~ p104(X1)
              & p103(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) ) )
          | ~ ( ~ p103(X1)
              & p102(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) ) )
          | ~ ( ~ p102(X1)
              & p101(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) ) )
          | ~ ( ~ p101(X1)
              & p100(X1) ) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p21(X2)
                  | ~ p120(X2) )
              | p21(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p21(X2)
                  | ~ p120(X2) )
              | ~ p21(X1) ) )
          | ~ p120(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p20(X2)
                  | ~ p119(X2) )
              | p20(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p20(X2)
                  | ~ p119(X2) )
              | ~ p20(X1) ) )
          | ~ p119(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p19(X2)
                  | ~ p118(X2) )
              | p19(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p19(X2)
                  | ~ p118(X2) )
              | ~ p19(X1) ) )
          | ~ p118(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p18(X2)
                  | ~ p117(X2) )
              | p18(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p18(X2)
                  | ~ p117(X2) )
              | ~ p18(X1) ) )
          | ~ p117(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p17(X2)
                  | ~ p116(X2) )
              | p17(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p17(X2)
                  | ~ p116(X2) )
              | ~ p17(X1) ) )
          | ~ p116(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p16(X2)
                  | ~ p115(X2) )
              | p16(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p16(X2)
                  | ~ p115(X2) )
              | ~ p16(X1) ) )
          | ~ p115(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p15(X2)
                  | ~ p114(X2) )
              | p15(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p15(X2)
                  | ~ p114(X2) )
              | ~ p15(X1) ) )
          | ~ p114(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p14(X2)
                  | ~ p113(X2) )
              | p14(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p14(X2)
                  | ~ p113(X2) )
              | ~ p14(X1) ) )
          | ~ p113(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p13(X2)
                  | ~ p112(X2) )
              | p13(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p13(X2)
                  | ~ p112(X2) )
              | ~ p13(X1) ) )
          | ~ p112(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p12(X2)
                  | ~ p111(X2) )
              | p12(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p12(X2)
                  | ~ p111(X2) )
              | ~ p12(X1) ) )
          | ~ p111(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p11(X2)
                  | ~ p110(X2) )
              | p11(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p11(X2)
                  | ~ p110(X2) )
              | ~ p11(X1) ) )
          | ~ p110(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p10(X2)
                  | ~ p109(X2) )
              | p10(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p10(X2)
                  | ~ p109(X2) )
              | ~ p10(X1) ) )
          | ~ p109(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p9(X2)
                  | ~ p108(X2) )
              | p9(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p9(X2)
                  | ~ p108(X2) )
              | ~ p9(X1) ) )
          | ~ p108(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p8(X2)
                  | ~ p107(X2) )
              | p8(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p8(X2)
                  | ~ p107(X2) )
              | ~ p8(X1) ) )
          | ~ p107(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p7(X2)
                  | ~ p106(X2) )
              | p7(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p7(X2)
                  | ~ p106(X2) )
              | ~ p7(X1) ) )
          | ~ p106(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p6(X2)
                  | ~ p105(X2) )
              | p6(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2)
                  | ~ p105(X2) )
              | ~ p6(X1) ) )
          | ~ p105(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p5(X2)
                  | ~ p104(X2) )
              | p5(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p5(X2)
                  | ~ p104(X2) )
              | ~ p5(X1) ) )
          | ~ p104(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2)
                  | ~ p103(X2) )
              | p4(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2)
                  | ~ p103(X2) )
              | ~ p4(X1) ) )
          | ~ p103(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p3(X2)
                  | ~ p102(X2) )
              | p3(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p3(X2)
                  | ~ p102(X2) )
              | ~ p3(X1) ) )
          | ~ p102(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p2(X2)
                  | ~ p101(X2) )
              | p2(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2)
                  | ~ p101(X2) )
              | ~ p2(X1) ) )
          | ~ p101(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p1(X2)
                  | ~ p100(X2) )
              | p1(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2)
                  | ~ p100(X2) )
              | ~ p1(X1) ) )
          | ~ p100(X1) )
        & ( p120(X1)
          | ~ p121(X1) )
        & ( p119(X1)
          | ~ p120(X1) )
        & ( p118(X1)
          | ~ p119(X1) )
        & ( p117(X1)
          | ~ p118(X1) )
        & ( p116(X1)
          | ~ p117(X1) )
        & ( p115(X1)
          | ~ p116(X1) )
        & ( p114(X1)
          | ~ p115(X1) )
        & ( p113(X1)
          | ~ p114(X1) )
        & ( p112(X1)
          | ~ p113(X1) )
        & ( p111(X1)
          | ~ p112(X1) )
        & ( p110(X1)
          | ~ p111(X1) )
        & ( p109(X1)
          | ~ p110(X1) )
        & ( p108(X1)
          | ~ p109(X1) )
        & ( p107(X1)
          | ~ p108(X1) )
        & ( p106(X1)
          | ~ p107(X1) )
        & ( p105(X1)
          | ~ p106(X1) )
        & ( p104(X1)
          | ~ p105(X1) )
        & ( p103(X1)
          | ~ p104(X1) )
        & ( p102(X1)
          | ~ p103(X1) )
        & ( p101(X1)
          | ~ p102(X1) )
        & ( p100(X1)
          | ~ p101(X1) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

cnf(c_0_25,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_7]) ).

cnf(c_0_26,negated_conjecture,
    ( p8(X20)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,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,X16)
    | ~ r1(X16,X17)
    | ~ r1(X17,X18)
    | ~ r1(X18,X19)
    | ~ r1(X19,X20) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_27,plain,
    ! [X45,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127] :
      ( ( r1(X45,esk2_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( ~ p21(esk2_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( ~ p121(esk2_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( p120(esk2_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk3_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( p21(esk3_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( ~ p121(esk3_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( p120(esk3_1(X45))
        | p120(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk4_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( ~ p20(esk4_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( ~ p120(esk4_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( p119(esk4_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk5_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( p20(esk5_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( ~ p120(esk5_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( p119(esk5_1(X45))
        | p119(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk6_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( ~ p19(esk6_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( ~ p119(esk6_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( p118(esk6_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk7_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( p19(esk7_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( ~ p119(esk7_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( p118(esk7_1(X45))
        | p118(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk8_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( ~ p18(esk8_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( ~ p118(esk8_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( p117(esk8_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk9_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( p18(esk9_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( ~ p118(esk9_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( p117(esk9_1(X45))
        | p117(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk10_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( ~ p17(esk10_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( ~ p117(esk10_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( p116(esk10_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk11_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( p17(esk11_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( ~ p117(esk11_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( p116(esk11_1(X45))
        | p116(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk12_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( ~ p16(esk12_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( ~ p116(esk12_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( p115(esk12_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk13_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( p16(esk13_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( ~ p116(esk13_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( p115(esk13_1(X45))
        | p115(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk14_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( ~ p15(esk14_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( ~ p115(esk14_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( p114(esk14_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk15_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( p15(esk15_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( ~ p115(esk15_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( p114(esk15_1(X45))
        | p114(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk16_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( ~ p14(esk16_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( ~ p114(esk16_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( p113(esk16_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk17_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( p14(esk17_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( ~ p114(esk17_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( p113(esk17_1(X45))
        | p113(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk18_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( ~ p13(esk18_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( ~ p113(esk18_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( p112(esk18_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk19_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( p13(esk19_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( ~ p113(esk19_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( p112(esk19_1(X45))
        | p112(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk20_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( ~ p12(esk20_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( ~ p112(esk20_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( p111(esk20_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk21_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( p12(esk21_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( ~ p112(esk21_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( p111(esk21_1(X45))
        | p111(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk22_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( ~ p11(esk22_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( ~ p111(esk22_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( p110(esk22_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk23_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( p11(esk23_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( ~ p111(esk23_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( p110(esk23_1(X45))
        | p110(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk24_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( ~ p10(esk24_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( ~ p110(esk24_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( p109(esk24_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk25_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( p10(esk25_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( ~ p110(esk25_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( p109(esk25_1(X45))
        | p109(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk26_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( ~ p9(esk26_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( ~ p109(esk26_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( p108(esk26_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk27_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( p9(esk27_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( ~ p109(esk27_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( p108(esk27_1(X45))
        | p108(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk28_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( ~ p8(esk28_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( ~ p108(esk28_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( p107(esk28_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk29_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( p8(esk29_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( ~ p108(esk29_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( p107(esk29_1(X45))
        | p107(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk30_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( ~ p7(esk30_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( ~ p107(esk30_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( p106(esk30_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk31_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( p7(esk31_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( ~ p107(esk31_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( p106(esk31_1(X45))
        | p106(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk32_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( ~ p6(esk32_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( ~ p106(esk32_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( p105(esk32_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk33_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( p6(esk33_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( ~ p106(esk33_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( p105(esk33_1(X45))
        | p105(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk34_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( ~ p5(esk34_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( ~ p105(esk34_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( p104(esk34_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk35_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( p5(esk35_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( ~ p105(esk35_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( p104(esk35_1(X45))
        | p104(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk36_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( ~ p4(esk36_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( ~ p104(esk36_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( p103(esk36_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk37_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( p4(esk37_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( ~ p104(esk37_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( p103(esk37_1(X45))
        | p103(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk38_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( ~ p3(esk38_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( ~ p103(esk38_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( p102(esk38_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk39_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( p3(esk39_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( ~ p103(esk39_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( p102(esk39_1(X45))
        | p102(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk40_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( ~ p2(esk40_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( ~ p102(esk40_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( p101(esk40_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( r1(X45,esk41_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( p2(esk41_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( ~ p102(esk41_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( p101(esk41_1(X45))
        | p101(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X86)
        | ~ p21(X86)
        | ~ p120(X86)
        | p21(X45)
        | ~ p120(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X87)
        | p21(X87)
        | ~ p120(X87)
        | ~ p21(X45)
        | ~ p120(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X88)
        | ~ p20(X88)
        | ~ p119(X88)
        | p20(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X89)
        | p20(X89)
        | ~ p119(X89)
        | ~ p20(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X90)
        | ~ p19(X90)
        | ~ p118(X90)
        | p19(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X91)
        | p19(X91)
        | ~ p118(X91)
        | ~ p19(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X92)
        | ~ p18(X92)
        | ~ p117(X92)
        | p18(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X93)
        | p18(X93)
        | ~ p117(X93)
        | ~ p18(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X94)
        | ~ p17(X94)
        | ~ p116(X94)
        | p17(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X95)
        | p17(X95)
        | ~ p116(X95)
        | ~ p17(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X96)
        | ~ p16(X96)
        | ~ p115(X96)
        | p16(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X97)
        | p16(X97)
        | ~ p115(X97)
        | ~ p16(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X98)
        | ~ p15(X98)
        | ~ p114(X98)
        | p15(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X99)
        | p15(X99)
        | ~ p114(X99)
        | ~ p15(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X100)
        | ~ p14(X100)
        | ~ p113(X100)
        | p14(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X101)
        | p14(X101)
        | ~ p113(X101)
        | ~ p14(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X102)
        | ~ p13(X102)
        | ~ p112(X102)
        | p13(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X103)
        | p13(X103)
        | ~ p112(X103)
        | ~ p13(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X104)
        | ~ p12(X104)
        | ~ p111(X104)
        | p12(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X105)
        | p12(X105)
        | ~ p111(X105)
        | ~ p12(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X106)
        | ~ p11(X106)
        | ~ p110(X106)
        | p11(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X107)
        | p11(X107)
        | ~ p110(X107)
        | ~ p11(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X108)
        | ~ p10(X108)
        | ~ p109(X108)
        | p10(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X109)
        | p10(X109)
        | ~ p109(X109)
        | ~ p10(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X110)
        | ~ p9(X110)
        | ~ p108(X110)
        | p9(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X111)
        | p9(X111)
        | ~ p108(X111)
        | ~ p9(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X112)
        | ~ p8(X112)
        | ~ p107(X112)
        | p8(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X113)
        | p8(X113)
        | ~ p107(X113)
        | ~ p8(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X114)
        | ~ p7(X114)
        | ~ p106(X114)
        | p7(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X115)
        | p7(X115)
        | ~ p106(X115)
        | ~ p7(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X116)
        | ~ p6(X116)
        | ~ p105(X116)
        | p6(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X117)
        | p6(X117)
        | ~ p105(X117)
        | ~ p6(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X118)
        | ~ p5(X118)
        | ~ p104(X118)
        | p5(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X119)
        | p5(X119)
        | ~ p104(X119)
        | ~ p5(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X120)
        | ~ p4(X120)
        | ~ p103(X120)
        | p4(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X121)
        | p4(X121)
        | ~ p103(X121)
        | ~ p4(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X122)
        | ~ p3(X122)
        | ~ p102(X122)
        | p3(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X123)
        | p3(X123)
        | ~ p102(X123)
        | ~ p3(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X124)
        | ~ p2(X124)
        | ~ p101(X124)
        | p2(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X125)
        | p2(X125)
        | ~ p101(X125)
        | ~ p2(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X126)
        | ~ p1(X126)
        | ~ p100(X126)
        | p1(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( ~ r1(X45,X127)
        | p1(X127)
        | ~ p100(X127)
        | ~ p1(X45)
        | ~ p100(X45)
        | ~ epred1_1(X45) )
      & ( p120(X45)
        | ~ p121(X45)
        | ~ epred1_1(X45) )
      & ( p119(X45)
        | ~ p120(X45)
        | ~ epred1_1(X45) )
      & ( p118(X45)
        | ~ p119(X45)
        | ~ epred1_1(X45) )
      & ( p117(X45)
        | ~ p118(X45)
        | ~ epred1_1(X45) )
      & ( p116(X45)
        | ~ p117(X45)
        | ~ epred1_1(X45) )
      & ( p115(X45)
        | ~ p116(X45)
        | ~ epred1_1(X45) )
      & ( p114(X45)
        | ~ p115(X45)
        | ~ epred1_1(X45) )
      & ( p113(X45)
        | ~ p114(X45)
        | ~ epred1_1(X45) )
      & ( p112(X45)
        | ~ p113(X45)
        | ~ epred1_1(X45) )
      & ( p111(X45)
        | ~ p112(X45)
        | ~ epred1_1(X45) )
      & ( p110(X45)
        | ~ p111(X45)
        | ~ epred1_1(X45) )
      & ( p109(X45)
        | ~ p110(X45)
        | ~ epred1_1(X45) )
      & ( p108(X45)
        | ~ p109(X45)
        | ~ epred1_1(X45) )
      & ( p107(X45)
        | ~ p108(X45)
        | ~ epred1_1(X45) )
      & ( p106(X45)
        | ~ p107(X45)
        | ~ epred1_1(X45) )
      & ( p105(X45)
        | ~ p106(X45)
        | ~ epred1_1(X45) )
      & ( p104(X45)
        | ~ p105(X45)
        | ~ epred1_1(X45) )
      & ( p103(X45)
        | ~ p104(X45)
        | ~ epred1_1(X45) )
      & ( p102(X45)
        | ~ p103(X45)
        | ~ epred1_1(X45) )
      & ( p101(X45)
        | ~ p102(X45)
        | ~ epred1_1(X45) )
      & ( p100(X45)
        | ~ p101(X45)
        | ~ epred1_1(X45) ) ),
    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_24])])])])]) ).

cnf(c_0_28,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_7]) ).

cnf(c_0_29,negated_conjecture,
    ( p8(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ 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(X17,X16)
    | ~ r1(X18,X17)
    | ~ r1(X19,X18)
    | ~ r1(X2,X19) ),
    inference(spm,[status(thm)],[c_0_26,c_0_7]) ).

cnf(c_0_30,plain,
    ( r1(X1,esk41_1(X1))
    | p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_32,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_33,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_7]) ).

cnf(c_0_34,plain,
    ( p8(X1)
    | ~ epred1_1(esk1_0)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X17,X16)
    | ~ r1(X18,X17)
    | ~ r1(X2,X18) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_33,c_0_7]) ).

cnf(c_0_36,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X17,X16)
    | ~ r1(X18,X17)
    | ~ r1(X2,X18) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_37,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X17,X16)
    | ~ r1(X2,X17) ),
    inference(spm,[status(thm)],[c_0_36,c_0_7]) ).

cnf(c_0_38,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X16) ),
    inference(spm,[status(thm)],[c_0_37,c_0_7]) ).

cnf(c_0_39,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X15) ),
    inference(spm,[status(thm)],[c_0_38,c_0_7]) ).

cnf(c_0_40,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X14) ),
    inference(spm,[status(thm)],[c_0_39,c_0_7]) ).

cnf(c_0_41,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X13) ),
    inference(spm,[status(thm)],[c_0_40,c_0_7]) ).

cnf(c_0_42,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X12) ),
    inference(spm,[status(thm)],[c_0_41,c_0_7]) ).

cnf(c_0_43,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ 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(X2,X11) ),
    inference(spm,[status(thm)],[c_0_42,c_0_7]) ).

cnf(c_0_44,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X2,X10) ),
    inference(spm,[status(thm)],[c_0_43,c_0_7]) ).

cnf(c_0_45,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X2,X9) ),
    inference(spm,[status(thm)],[c_0_44,c_0_7]) ).

cnf(c_0_46,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X2,X8) ),
    inference(spm,[status(thm)],[c_0_45,c_0_7]) ).

cnf(c_0_47,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X2,X7) ),
    inference(spm,[status(thm)],[c_0_46,c_0_7]) ).

cnf(c_0_48,plain,
    ( epred1_1(X1)
    | ~ epred1_1(esk1_0)
    | ~ r1(esk41_1(esk1_0),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_49,plain,
    ( epred1_1(X1)
    | ~ epred1_1(esk1_0)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_50,plain,
    ( epred1_1(X1)
    | ~ epred1_1(esk1_0)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_51,plain,
    ( p8(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X2,X6) ),
    inference(spm,[status(thm)],[c_0_47,c_0_7]) ).

cnf(c_0_52,plain,
    ( r1(X1,esk39_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_53,plain,
    epred1_1(esk41_1(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_31])]),c_0_32]),c_0_35])]) ).

cnf(c_0_54,plain,
    ( epred1_1(X1)
    | ~ r1(esk41_1(esk1_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_35])]) ).

cnf(c_0_55,plain,
    ( epred1_1(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_35])]) ).

cnf(c_0_56,plain,
    ( epred1_1(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_35])]) ).

cnf(c_0_57,plain,
    ( epred1_1(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_30]),c_0_31])]),c_0_32]),c_0_35])]) ).

cnf(c_0_58,plain,
    ( epred1_1(X1)
    | ~ r1(esk41_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X2,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_31])]),c_0_32]),c_0_35])]) ).

cnf(c_0_59,plain,
    ( p102(esk41_1(esk1_0))
    | p8(X1)
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X2,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).

cnf(c_0_60,plain,
    ( p101(esk41_1(X1))
    | p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_61,plain,
    ( epred1_1(esk39_1(esk41_1(esk1_0)))
    | p102(esk41_1(esk1_0))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_53])]) ).

cnf(c_0_62,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_53])]) ).

cnf(c_0_63,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_52]),c_0_53])]) ).

cnf(c_0_64,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_53])]) ).

cnf(c_0_65,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_52]),c_0_53])]) ).

cnf(c_0_66,plain,
    ( p102(esk41_1(esk1_0))
    | p8(X1)
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X2,X5) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_67,plain,
    ( r1(X1,esk37_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_68,plain,
    ( epred1_1(esk39_1(esk41_1(esk1_0)))
    | p102(esk41_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_69,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_70,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_71,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_72,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | ~ r1(esk39_1(esk41_1(esk1_0)),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_73,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p8(X1)
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_74,plain,
    ( p102(esk39_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_75,plain,
    ( epred1_1(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_68]) ).

cnf(c_0_76,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_67]),c_0_68]) ).

cnf(c_0_77,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_67]),c_0_68]) ).

cnf(c_0_78,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_68]) ).

cnf(c_0_79,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p8(X1)
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_53])]) ).

cnf(c_0_80,plain,
    ( epred1_1(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_74]),c_0_53])]) ).

cnf(c_0_81,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_74]),c_0_53])]) ).

cnf(c_0_82,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_74]),c_0_53])]) ).

cnf(c_0_83,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_74]),c_0_53])]) ).

cnf(c_0_84,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p8(X1)
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X2,X4) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_85,plain,
    ( r1(X1,esk35_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_86,plain,
    ( epred1_1(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_87,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_88,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_89,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk37_1(esk39_1(esk41_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_90,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p8(X1)
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).

cnf(c_0_91,plain,
    ( p103(esk37_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_92,plain,
    ( epred1_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_85]),c_0_86]) ).

cnf(c_0_93,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_85]),c_0_86]) ).

cnf(c_0_94,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_85]),c_0_86]) ).

cnf(c_0_95,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p8(X1)
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_68]) ).

cnf(c_0_96,plain,
    ( epred1_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_91]),c_0_68]) ).

cnf(c_0_97,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_91]),c_0_68]) ).

cnf(c_0_98,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_91]),c_0_68]) ).

cnf(c_0_99,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p8(X1)
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_74]),c_0_53])]) ).

cnf(c_0_100,plain,
    ( epred1_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_74]),c_0_53])]) ).

cnf(c_0_101,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_74]),c_0_53])]) ).

cnf(c_0_102,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_74]),c_0_53])]) ).

cnf(c_0_103,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p8(X1)
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_104,plain,
    ( r1(X1,esk33_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_105,plain,
    ( epred1_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_106,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_107,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_108,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p8(X1)
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).

cnf(c_0_109,plain,
    ( p104(esk35_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_110,plain,
    ( epred1_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_104]),c_0_105]) ).

cnf(c_0_111,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_104]),c_0_105]) ).

cnf(c_0_112,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p8(X1)
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_86]) ).

cnf(c_0_113,plain,
    ( epred1_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_86]) ).

cnf(c_0_114,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_109]),c_0_86]) ).

cnf(c_0_115,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p8(X1)
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_91]),c_0_68]) ).

cnf(c_0_116,plain,
    ( epred1_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_91]),c_0_68]) ).

cnf(c_0_117,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_91]),c_0_68]) ).

cnf(c_0_118,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p8(X1)
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_74]),c_0_53])]) ).

cnf(c_0_119,plain,
    ( epred1_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_74]),c_0_53])]) ).

cnf(c_0_120,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_74]),c_0_53])]) ).

cnf(c_0_121,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p8(X1)
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X2)
    | ~ r1(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_122,plain,
    ( r1(X1,esk31_1(X1))
    | p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_123,plain,
    ( epred1_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_124,plain,
    ( epred1_1(X1)
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ r1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_125,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p8(X1)
    | ~ p105(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ r1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).

cnf(c_0_126,plain,
    ( p105(esk33_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_127,plain,
    ( epred1_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p105(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_122]),c_0_123]) ).

cnf(c_0_128,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p8(X1)
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ r1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_105]) ).

cnf(c_0_129,plain,
    ( epred1_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_126]),c_0_105]) ).

cnf(c_0_130,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p8(X1)
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ r1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_109]),c_0_86]) ).

cnf(c_0_131,plain,
    ( epred1_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_109]),c_0_86]) ).

cnf(c_0_132,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p8(X1)
    | ~ p102(esk39_1(esk41_1(esk1_0)))
    | ~ r1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_91]),c_0_68]) ).

cnf(c_0_133,plain,
    ( epred1_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_91]),c_0_68]) ).

cnf(c_0_134,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p8(X1)
    | ~ p101(esk41_1(esk1_0))
    | ~ r1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_74]),c_0_53])]) ).

cnf(c_0_135,plain,
    ( epred1_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_74]),c_0_53])]) ).

cnf(c_0_136,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p8(X1)
    | ~ r1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_137,plain,
    ( r1(X1,esk28_1(X1))
    | p107(X1)
    | ~ p106(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_138,plain,
    ( epred1_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_139,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p8(esk28_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))))
    | ~ p106(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).

cnf(c_0_140,plain,
    ( p106(esk31_1(X1))
    | p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_141,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p8(esk28_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))))
    | ~ p105(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_123]) ).

cnf(c_0_142,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p8(esk28_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))))
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_126]),c_0_105]) ).

cnf(c_0_143,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p8(esk28_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_109]),c_0_86]) ).

cnf(c_0_144,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p8(esk28_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_91]),c_0_68]) ).

cnf(c_0_145,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p8(esk28_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_74]),c_0_53])]) ).

cnf(c_0_146,plain,
    ( p107(X1)
    | ~ p8(esk28_1(X1))
    | ~ p106(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_147,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | p8(esk28_1(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_148,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | ~ p106(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_138]) ).

cnf(c_0_149,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | ~ p105(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_140]),c_0_123]) ).

cnf(c_0_150,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_126]),c_0_105]) ).

cnf(c_0_151,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_109]),c_0_86]) ).

cnf(c_0_152,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_91]),c_0_68]) ).

cnf(c_0_153,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_74]),c_0_53])]) ).

cnf(c_0_154,plain,
    ( p106(X1)
    | ~ p107(esk31_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_155,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | p107(esk31_1(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_156,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p105(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_123]) ).

cnf(c_0_157,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_126]),c_0_105]) ).

cnf(c_0_158,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_109]),c_0_86]) ).

cnf(c_0_159,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_91]),c_0_68]) ).

cnf(c_0_160,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_74]),c_0_53])]) ).

cnf(c_0_161,plain,
    ( p105(X1)
    | ~ p106(esk33_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_162,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | p106(esk33_1(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_163,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p104(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_105]) ).

cnf(c_0_164,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_109]),c_0_86]) ).

cnf(c_0_165,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_91]),c_0_68]) ).

cnf(c_0_166,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0)))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_74]),c_0_53])]) ).

cnf(c_0_167,plain,
    ( p104(X1)
    | ~ p105(esk35_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_168,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | p105(esk35_1(esk37_1(esk39_1(esk41_1(esk1_0))))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_169,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p103(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_86]) ).

cnf(c_0_170,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_91]),c_0_68]) ).

cnf(c_0_171,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0))))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_74]),c_0_53])]) ).

cnf(c_0_172,plain,
    ( p103(X1)
    | ~ p104(esk37_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_173,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | p104(esk37_1(esk39_1(esk41_1(esk1_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_174,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p102(esk39_1(esk41_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_68]) ).

cnf(c_0_175,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0)))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_74]),c_0_53])]) ).

cnf(c_0_176,plain,
    ( p102(X1)
    | ~ p103(esk39_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_177,plain,
    ( p102(esk41_1(esk1_0))
    | p103(esk39_1(esk41_1(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_178,plain,
    ( p102(esk41_1(esk1_0))
    | ~ p101(esk41_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_53])]) ).

cnf(c_0_179,plain,
    ( p101(X1)
    | ~ p102(esk41_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_180,plain,
    p102(esk41_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_60]),c_0_35]),c_0_31])]),c_0_32]) ).

cnf(c_0_181,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_35]),c_0_31])]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL656+1.020 : 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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Aug 24 17:13:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 81.24/81.30  % Version  : CSE_E---1.5
% 81.24/81.30  % Problem  : theBenchmark.p
% 81.24/81.30  % Proof found
% 81.24/81.30  % SZS status Theorem for theBenchmark.p
% 81.24/81.30  % SZS output start Proof
% See solution above
% 81.24/81.32  % Total time : 80.736000 s
% 81.24/81.32  % SZS output end Proof
% 81.24/81.32  % Total time : 80.747000 s
%------------------------------------------------------------------------------