TSTP Solution File: LCL674+1.015 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL674+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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 06:59:00 EDT 2023

% Result   : Theorem 8.32s 8.63s
% Output   : CNFRefutation 8.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  161 (  11 unt;  66 typ;   0 def)
%            Number of atoms       : 2055 (   0 equ)
%            Maximal formula atoms :  720 (  21 avg)
%            Number of connectives : 3441 (1481   ~;1326   |; 631   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  204 (   8 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   66 (  65   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   36 (  35 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;   1 con; 0-1 aty)
%            Number of variables   :  279 (   0 sgn; 235   !;   2   ?;   0   :)

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

tff(decl_23,type,
    p7: $i > $o ).

tff(decl_24,type,
    p16: $i > $o ).

tff(decl_25,type,
    p116: $i > $o ).

tff(decl_26,type,
    p115: $i > $o ).

tff(decl_27,type,
    p114: $i > $o ).

tff(decl_28,type,
    p15: $i > $o ).

tff(decl_29,type,
    p113: $i > $o ).

tff(decl_30,type,
    p14: $i > $o ).

tff(decl_31,type,
    p112: $i > $o ).

tff(decl_32,type,
    p13: $i > $o ).

tff(decl_33,type,
    p111: $i > $o ).

tff(decl_34,type,
    p12: $i > $o ).

tff(decl_35,type,
    p110: $i > $o ).

tff(decl_36,type,
    p11: $i > $o ).

tff(decl_37,type,
    p109: $i > $o ).

tff(decl_38,type,
    p10: $i > $o ).

tff(decl_39,type,
    p108: $i > $o ).

tff(decl_40,type,
    p9: $i > $o ).

tff(decl_41,type,
    p107: $i > $o ).

tff(decl_42,type,
    p8: $i > $o ).

tff(decl_43,type,
    p106: $i > $o ).

tff(decl_44,type,
    p105: $i > $o ).

tff(decl_45,type,
    p6: $i > $o ).

tff(decl_46,type,
    p104: $i > $o ).

tff(decl_47,type,
    p5: $i > $o ).

tff(decl_48,type,
    p103: $i > $o ).

tff(decl_49,type,
    p4: $i > $o ).

tff(decl_50,type,
    p102: $i > $o ).

tff(decl_51,type,
    p3: $i > $o ).

tff(decl_52,type,
    p101: $i > $o ).

tff(decl_53,type,
    p2: $i > $o ).

tff(decl_54,type,
    p100: $i > $o ).

tff(decl_55,type,
    p1: $i > $o ).

tff(decl_56,type,
    epred1_1: $i > $o ).

tff(decl_57,type,
    esk1_0: $i ).

tff(decl_58,type,
    esk2_1: $i > $i ).

tff(decl_59,type,
    esk3_1: $i > $i ).

tff(decl_60,type,
    esk4_1: $i > $i ).

tff(decl_61,type,
    esk5_1: $i > $i ).

tff(decl_62,type,
    esk6_1: $i > $i ).

tff(decl_63,type,
    esk7_1: $i > $i ).

tff(decl_64,type,
    esk8_1: $i > $i ).

tff(decl_65,type,
    esk9_1: $i > $i ).

tff(decl_66,type,
    esk10_1: $i > $i ).

tff(decl_67,type,
    esk11_1: $i > $i ).

tff(decl_68,type,
    esk12_1: $i > $i ).

tff(decl_69,type,
    esk13_1: $i > $i ).

tff(decl_70,type,
    esk14_1: $i > $i ).

tff(decl_71,type,
    esk15_1: $i > $i ).

tff(decl_72,type,
    esk16_1: $i > $i ).

tff(decl_73,type,
    esk17_1: $i > $i ).

tff(decl_74,type,
    esk18_1: $i > $i ).

tff(decl_75,type,
    esk19_1: $i > $i ).

tff(decl_76,type,
    esk20_1: $i > $i ).

tff(decl_77,type,
    esk21_1: $i > $i ).

tff(decl_78,type,
    esk22_1: $i > $i ).

tff(decl_79,type,
    esk23_1: $i > $i ).

tff(decl_80,type,
    esk24_1: $i > $i ).

tff(decl_81,type,
    esk25_1: $i > $i ).

tff(decl_82,type,
    esk26_1: $i > $i ).

tff(decl_83,type,
    esk27_1: $i > $i ).

tff(decl_84,type,
    esk28_1: $i > $i ).

tff(decl_85,type,
    esk29_1: $i > $i ).

tff(decl_86,type,
    esk30_1: $i > $i ).

tff(decl_87,type,
    esk31_1: $i > $i ).

fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p7(X2) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ( ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p16(X1)
                                  & ~ p116(X1)
                                  & p115(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p16(X1)
                                  & ~ p116(X1)
                                  & p115(X1) ) ) )
                      | ~ ( ~ p115(X2)
                          & p114(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p15(X1)
                                  & ~ p115(X1)
                                  & p114(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p15(X1)
                                  & ~ p115(X1)
                                  & p114(X1) ) ) )
                      | ~ ( ~ p114(X2)
                          & p113(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p14(X1)
                                  & ~ p114(X1)
                                  & p113(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p14(X1)
                                  & ~ p114(X1)
                                  & p113(X1) ) ) )
                      | ~ ( ~ p113(X2)
                          & p112(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p13(X1)
                                  & ~ p113(X1)
                                  & p112(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p13(X1)
                                  & ~ p113(X1)
                                  & p112(X1) ) ) )
                      | ~ ( ~ p112(X2)
                          & p111(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p12(X1)
                                  & ~ p112(X1)
                                  & p111(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p12(X1)
                                  & ~ p112(X1)
                                  & p111(X1) ) ) )
                      | ~ ( ~ p111(X2)
                          & p110(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p11(X1)
                                  & ~ p111(X1)
                                  & p110(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p11(X1)
                                  & ~ p111(X1)
                                  & p110(X1) ) ) )
                      | ~ ( ~ p110(X2)
                          & p109(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p10(X1)
                                  & ~ p110(X1)
                                  & p109(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p10(X1)
                                  & ~ p110(X1)
                                  & p109(X1) ) ) )
                      | ~ ( ~ p109(X2)
                          & p108(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p9(X1)
                                  & ~ p109(X1)
                                  & p108(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p9(X1)
                                  & ~ p109(X1)
                                  & p108(X1) ) ) )
                      | ~ ( ~ p108(X2)
                          & p107(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p8(X1)
                                  & ~ p108(X1)
                                  & p107(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p8(X1)
                                  & ~ p108(X1)
                                  & p107(X1) ) ) )
                      | ~ ( ~ p107(X2)
                          & p106(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p7(X1)
                                  & ~ p107(X1)
                                  & p106(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p7(X1)
                                  & ~ p107(X1)
                                  & p106(X1) ) ) )
                      | ~ ( ~ p106(X2)
                          & p105(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p6(X1)
                                  & ~ p106(X1)
                                  & p105(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p6(X1)
                                  & ~ p106(X1)
                                  & p105(X1) ) ) )
                      | ~ ( ~ p105(X2)
                          & p104(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p5(X1)
                                  & ~ p105(X1)
                                  & p104(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p5(X1)
                                  & ~ p105(X1)
                                  & p104(X1) ) ) )
                      | ~ ( ~ p104(X2)
                          & p103(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p4(X1)
                                  & ~ p104(X1)
                                  & p103(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p4(X1)
                                  & ~ p104(X1)
                                  & p103(X1) ) ) )
                      | ~ ( ~ p103(X2)
                          & p102(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p3(X1)
                                  & ~ p103(X1)
                                  & p102(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p3(X1)
                                  & ~ p103(X1)
                                  & p102(X1) ) ) )
                      | ~ ( ~ p102(X2)
                          & p101(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) ) )
                      | ~ ( ~ p101(X2)
                          & p100(X2) ) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p16(X1)
                              | ~ p115(X1) )
                          | p16(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p16(X1)
                              | ~ p115(X1) )
                          | ~ p16(X2) ) )
                      | ~ p115(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p15(X1)
                              | ~ p114(X1) )
                          | p15(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p15(X1)
                              | ~ p114(X1) )
                          | ~ p15(X2) ) )
                      | ~ p114(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p14(X1)
                              | ~ p113(X1) )
                          | p14(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p14(X1)
                              | ~ p113(X1) )
                          | ~ p14(X2) ) )
                      | ~ p113(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p13(X1)
                              | ~ p112(X1) )
                          | p13(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p13(X1)
                              | ~ p112(X1) )
                          | ~ p13(X2) ) )
                      | ~ p112(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p12(X1)
                              | ~ p111(X1) )
                          | p12(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p12(X1)
                              | ~ p111(X1) )
                          | ~ p12(X2) ) )
                      | ~ p111(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p11(X1)
                              | ~ p110(X1) )
                          | p11(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p11(X1)
                              | ~ p110(X1) )
                          | ~ p11(X2) ) )
                      | ~ p110(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p10(X1)
                              | ~ p109(X1) )
                          | p10(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p10(X1)
                              | ~ p109(X1) )
                          | ~ p10(X2) ) )
                      | ~ p109(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p9(X1)
                              | ~ p108(X1) )
                          | p9(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p9(X1)
                              | ~ p108(X1) )
                          | ~ p9(X2) ) )
                      | ~ p108(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p8(X1)
                              | ~ p107(X1) )
                          | p8(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p8(X1)
                              | ~ p107(X1) )
                          | ~ p8(X2) ) )
                      | ~ p107(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p7(X1)
                              | ~ p106(X1) )
                          | p7(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p7(X1)
                              | ~ p106(X1) )
                          | ~ p7(X2) ) )
                      | ~ p106(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p6(X1)
                              | ~ p105(X1) )
                          | p6(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p6(X1)
                              | ~ p105(X1) )
                          | ~ p6(X2) ) )
                      | ~ p105(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p5(X1)
                              | ~ p104(X1) )
                          | p5(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p5(X1)
                              | ~ p104(X1) )
                          | ~ p5(X2) ) )
                      | ~ p104(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p4(X1)
                              | ~ p103(X1) )
                          | p4(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p4(X1)
                              | ~ p103(X1) )
                          | ~ p4(X2) ) )
                      | ~ p103(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p3(X1)
                              | ~ p102(X1) )
                          | p3(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p3(X1)
                              | ~ p102(X1) )
                          | ~ p3(X2) ) )
                      | ~ p102(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p2(X1)
                              | ~ p101(X1) )
                          | p2(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1)
                              | ~ p101(X1) )
                          | ~ p2(X2) ) )
                      | ~ p101(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p1(X1)
                              | ~ p100(X1) )
                          | p1(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1)
                              | ~ p100(X1) )
                          | ~ p1(X2) ) )
                      | ~ p100(X2) )
                    & ( p115(X2)
                      | ~ p116(X2) )
                    & ( p114(X2)
                      | ~ p115(X2) )
                    & ( p113(X2)
                      | ~ p114(X2) )
                    & ( p112(X2)
                      | ~ p113(X2) )
                    & ( p111(X2)
                      | ~ p112(X2) )
                    & ( p110(X2)
                      | ~ p111(X2) )
                    & ( p109(X2)
                      | ~ p110(X2) )
                    & ( p108(X2)
                      | ~ p109(X2) )
                    & ( p107(X2)
                      | ~ p108(X2) )
                    & ( p106(X2)
                      | ~ p107(X2) )
                    & ( p105(X2)
                      | ~ p106(X2) )
                    & ( p104(X2)
                      | ~ p105(X2) )
                    & ( p103(X2)
                      | ~ p104(X2) )
                    & ( p102(X2)
                      | ~ p103(X2) )
                    & ( p101(X2)
                      | ~ p102(X2) )
                    & ( p100(X2)
                      | ~ p101(X2) ) ) )
              & ~ p101(X1)
              & p100(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(transitivity,axiom,
    ! [X1,X2,X3] :
      ( ( r1(X1,X2)
        & r1(X2,X3) )
     => r1(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

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

fof(c_0_3,plain,
    ! [X2] :
      ( epred1_1(X2)
    <=> ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) ) )
          | ~ ( ~ p115(X2)
              & p114(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) ) )
          | ~ ( ~ p114(X2)
              & p113(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) ) )
          | ~ ( ~ p113(X2)
              & p112(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) ) )
          | ~ ( ~ p112(X2)
              & p111(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) ) )
          | ~ ( ~ p111(X2)
              & p110(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) ) )
          | ~ ( ~ p110(X2)
              & p109(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) ) )
          | ~ ( ~ p109(X2)
              & p108(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) ) )
          | ~ ( ~ p108(X2)
              & p107(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) ) )
          | ~ ( ~ p107(X2)
              & p106(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) ) )
          | ~ ( ~ p106(X2)
              & p105(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) ) )
          | ~ ( ~ p105(X2)
              & p104(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) ) )
          | ~ ( ~ p104(X2)
              & p103(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) ) )
          | ~ ( ~ p103(X2)
              & p102(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) ) )
          | ~ ( ~ p102(X2)
              & p101(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) ) )
          | ~ ( ~ p101(X2)
              & p100(X2) ) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p16(X1)
                  | ~ p115(X1) )
              | p16(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p16(X1)
                  | ~ p115(X1) )
              | ~ p16(X2) ) )
          | ~ p115(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p15(X1)
                  | ~ p114(X1) )
              | p15(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p15(X1)
                  | ~ p114(X1) )
              | ~ p15(X2) ) )
          | ~ p114(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p14(X1)
                  | ~ p113(X1) )
              | p14(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p14(X1)
                  | ~ p113(X1) )
              | ~ p14(X2) ) )
          | ~ p113(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p13(X1)
                  | ~ p112(X1) )
              | p13(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p13(X1)
                  | ~ p112(X1) )
              | ~ p13(X2) ) )
          | ~ p112(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p12(X1)
                  | ~ p111(X1) )
              | p12(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p12(X1)
                  | ~ p111(X1) )
              | ~ p12(X2) ) )
          | ~ p111(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p11(X1)
                  | ~ p110(X1) )
              | p11(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p11(X1)
                  | ~ p110(X1) )
              | ~ p11(X2) ) )
          | ~ p110(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p10(X1)
                  | ~ p109(X1) )
              | p10(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p10(X1)
                  | ~ p109(X1) )
              | ~ p10(X2) ) )
          | ~ p109(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p9(X1)
                  | ~ p108(X1) )
              | p9(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p9(X1)
                  | ~ p108(X1) )
              | ~ p9(X2) ) )
          | ~ p108(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p8(X1)
                  | ~ p107(X1) )
              | p8(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p8(X1)
                  | ~ p107(X1) )
              | ~ p8(X2) ) )
          | ~ p107(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p7(X1)
                  | ~ p106(X1) )
              | p7(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p7(X1)
                  | ~ p106(X1) )
              | ~ p7(X2) ) )
          | ~ p106(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p6(X1)
                  | ~ p105(X1) )
              | p6(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p6(X1)
                  | ~ p105(X1) )
              | ~ p6(X2) ) )
          | ~ p105(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p5(X1)
                  | ~ p104(X1) )
              | p5(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p5(X1)
                  | ~ p104(X1) )
              | ~ p5(X2) ) )
          | ~ p104(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p4(X1)
                  | ~ p103(X1) )
              | p4(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p4(X1)
                  | ~ p103(X1) )
              | ~ p4(X2) ) )
          | ~ p103(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p3(X1)
                  | ~ p102(X1) )
              | p3(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p3(X1)
                  | ~ p102(X1) )
              | ~ p3(X2) ) )
          | ~ p102(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p2(X1)
                  | ~ p101(X1) )
              | p2(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p2(X1)
                  | ~ p101(X1) )
              | ~ p2(X2) ) )
          | ~ p101(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1)
                  | ~ p100(X1) )
              | p1(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1)
                  | ~ p100(X1) )
              | ~ p1(X2) ) )
          | ~ p100(X2) )
        & ( p115(X2)
          | ~ p116(X2) )
        & ( p114(X2)
          | ~ p115(X2) )
        & ( p113(X2)
          | ~ p114(X2) )
        & ( p112(X2)
          | ~ p113(X2) )
        & ( p111(X2)
          | ~ p112(X2) )
        & ( p110(X2)
          | ~ p111(X2) )
        & ( p109(X2)
          | ~ p110(X2) )
        & ( p108(X2)
          | ~ p109(X2) )
        & ( p107(X2)
          | ~ p108(X2) )
        & ( p106(X2)
          | ~ p107(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    introduced(definition) ).

fof(c_0_4,plain,
    ! [X2] :
      ( epred1_1(X2)
     => ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) ) )
          | ~ ( ~ p115(X2)
              & p114(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) ) )
          | ~ ( ~ p114(X2)
              & p113(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) ) )
          | ~ ( ~ p113(X2)
              & p112(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) ) )
          | ~ ( ~ p112(X2)
              & p111(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) ) )
          | ~ ( ~ p111(X2)
              & p110(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) ) )
          | ~ ( ~ p110(X2)
              & p109(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) ) )
          | ~ ( ~ p109(X2)
              & p108(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) ) )
          | ~ ( ~ p108(X2)
              & p107(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) ) )
          | ~ ( ~ p107(X2)
              & p106(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) ) )
          | ~ ( ~ p106(X2)
              & p105(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) ) )
          | ~ ( ~ p105(X2)
              & p104(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) ) )
          | ~ ( ~ p104(X2)
              & p103(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) ) )
          | ~ ( ~ p103(X2)
              & p102(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) ) )
          | ~ ( ~ p102(X2)
              & p101(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) ) )
          | ~ ( ~ p101(X2)
              & p100(X2) ) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p16(X1)
                  | ~ p115(X1) )
              | p16(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p16(X1)
                  | ~ p115(X1) )
              | ~ p16(X2) ) )
          | ~ p115(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p15(X1)
                  | ~ p114(X1) )
              | p15(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p15(X1)
                  | ~ p114(X1) )
              | ~ p15(X2) ) )
          | ~ p114(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p14(X1)
                  | ~ p113(X1) )
              | p14(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p14(X1)
                  | ~ p113(X1) )
              | ~ p14(X2) ) )
          | ~ p113(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p13(X1)
                  | ~ p112(X1) )
              | p13(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p13(X1)
                  | ~ p112(X1) )
              | ~ p13(X2) ) )
          | ~ p112(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p12(X1)
                  | ~ p111(X1) )
              | p12(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p12(X1)
                  | ~ p111(X1) )
              | ~ p12(X2) ) )
          | ~ p111(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p11(X1)
                  | ~ p110(X1) )
              | p11(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p11(X1)
                  | ~ p110(X1) )
              | ~ p11(X2) ) )
          | ~ p110(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p10(X1)
                  | ~ p109(X1) )
              | p10(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p10(X1)
                  | ~ p109(X1) )
              | ~ p10(X2) ) )
          | ~ p109(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p9(X1)
                  | ~ p108(X1) )
              | p9(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p9(X1)
                  | ~ p108(X1) )
              | ~ p9(X2) ) )
          | ~ p108(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p8(X1)
                  | ~ p107(X1) )
              | p8(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p8(X1)
                  | ~ p107(X1) )
              | ~ p8(X2) ) )
          | ~ p107(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p7(X1)
                  | ~ p106(X1) )
              | p7(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p7(X1)
                  | ~ p106(X1) )
              | ~ p7(X2) ) )
          | ~ p106(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p6(X1)
                  | ~ p105(X1) )
              | p6(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p6(X1)
                  | ~ p105(X1) )
              | ~ p6(X2) ) )
          | ~ p105(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p5(X1)
                  | ~ p104(X1) )
              | p5(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p5(X1)
                  | ~ p104(X1) )
              | ~ p5(X2) ) )
          | ~ p104(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p4(X1)
                  | ~ p103(X1) )
              | p4(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p4(X1)
                  | ~ p103(X1) )
              | ~ p4(X2) ) )
          | ~ p103(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p3(X1)
                  | ~ p102(X1) )
              | p3(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p3(X1)
                  | ~ p102(X1) )
              | ~ p3(X2) ) )
          | ~ p102(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p2(X1)
                  | ~ p101(X1) )
              | p2(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p2(X1)
                  | ~ p101(X1) )
              | ~ p2(X2) ) )
          | ~ p101(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1)
                  | ~ p100(X1) )
              | p1(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1)
                  | ~ p100(X1) )
              | ~ p1(X2) ) )
          | ~ p100(X2) )
        & ( p115(X2)
          | ~ p116(X2) )
        & ( p114(X2)
          | ~ p115(X2) )
        & ( p113(X2)
          | ~ p114(X2) )
        & ( p112(X2)
          | ~ p113(X2) )
        & ( p111(X2)
          | ~ p112(X2) )
        & ( p110(X2)
          | ~ p111(X2) )
        & ( p109(X2)
          | ~ p110(X2) )
        & ( p108(X2)
          | ~ p109(X2) )
        & ( p107(X2)
          | ~ p108(X2) )
        & ( p106(X2)
          | ~ p107(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_3]) ).

fof(c_0_5,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p7(X2) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | epred1_1(X2) )
                & ~ p101(X1)
                & p100(X1) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_3]) ).

fof(c_0_6,plain,
    ! [X5,X6,X7] :
      ( ~ r1(X5,X6)
      | ~ r1(X6,X7)
      | r1(X5,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).

fof(c_0_7,plain,
    ! [X11,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73] :
      ( ( r1(X11,esk2_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( ~ p16(esk2_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( ~ p116(esk2_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( p115(esk2_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk3_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( p16(esk3_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( ~ p116(esk3_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( p115(esk3_1(X11))
        | p115(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk4_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( ~ p15(esk4_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( ~ p115(esk4_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( p114(esk4_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk5_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( p15(esk5_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( ~ p115(esk5_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( p114(esk5_1(X11))
        | p114(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk6_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( ~ p14(esk6_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( ~ p114(esk6_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( p113(esk6_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk7_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( p14(esk7_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( ~ p114(esk7_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( p113(esk7_1(X11))
        | p113(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk8_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( ~ p13(esk8_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( ~ p113(esk8_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( p112(esk8_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk9_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( p13(esk9_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( ~ p113(esk9_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( p112(esk9_1(X11))
        | p112(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk10_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( ~ p12(esk10_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( ~ p112(esk10_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( p111(esk10_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk11_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( p12(esk11_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( ~ p112(esk11_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( p111(esk11_1(X11))
        | p111(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk12_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( ~ p11(esk12_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( ~ p111(esk12_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( p110(esk12_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk13_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( p11(esk13_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( ~ p111(esk13_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( p110(esk13_1(X11))
        | p110(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk14_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( ~ p10(esk14_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( ~ p110(esk14_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( p109(esk14_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk15_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( p10(esk15_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( ~ p110(esk15_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( p109(esk15_1(X11))
        | p109(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk16_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( ~ p9(esk16_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( ~ p109(esk16_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( p108(esk16_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk17_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( p9(esk17_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( ~ p109(esk17_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( p108(esk17_1(X11))
        | p108(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk18_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( ~ p8(esk18_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( ~ p108(esk18_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( p107(esk18_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk19_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( p8(esk19_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( ~ p108(esk19_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( p107(esk19_1(X11))
        | p107(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk20_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( ~ p7(esk20_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( ~ p107(esk20_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( p106(esk20_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk21_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( p7(esk21_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( ~ p107(esk21_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( p106(esk21_1(X11))
        | p106(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk22_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( ~ p6(esk22_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( ~ p106(esk22_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( p105(esk22_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk23_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( p6(esk23_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( ~ p106(esk23_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( p105(esk23_1(X11))
        | p105(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk24_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( ~ p5(esk24_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( ~ p105(esk24_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( p104(esk24_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk25_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( p5(esk25_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( ~ p105(esk25_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( p104(esk25_1(X11))
        | p104(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk26_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( ~ p4(esk26_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( ~ p104(esk26_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( p103(esk26_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk27_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( p4(esk27_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( ~ p104(esk27_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( p103(esk27_1(X11))
        | p103(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk28_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( ~ p3(esk28_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( ~ p103(esk28_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( p102(esk28_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk29_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( p3(esk29_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( ~ p103(esk29_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( p102(esk29_1(X11))
        | p102(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk30_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( ~ p2(esk30_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( ~ p102(esk30_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( p101(esk30_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( r1(X11,esk31_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( p2(esk31_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( ~ p102(esk31_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( p101(esk31_1(X11))
        | p101(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X42)
        | ~ p16(X42)
        | ~ p115(X42)
        | p16(X11)
        | ~ p115(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X43)
        | p16(X43)
        | ~ p115(X43)
        | ~ p16(X11)
        | ~ p115(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X44)
        | ~ p15(X44)
        | ~ p114(X44)
        | p15(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X45)
        | p15(X45)
        | ~ p114(X45)
        | ~ p15(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X46)
        | ~ p14(X46)
        | ~ p113(X46)
        | p14(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X47)
        | p14(X47)
        | ~ p113(X47)
        | ~ p14(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X48)
        | ~ p13(X48)
        | ~ p112(X48)
        | p13(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X49)
        | p13(X49)
        | ~ p112(X49)
        | ~ p13(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X50)
        | ~ p12(X50)
        | ~ p111(X50)
        | p12(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X51)
        | p12(X51)
        | ~ p111(X51)
        | ~ p12(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X52)
        | ~ p11(X52)
        | ~ p110(X52)
        | p11(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X53)
        | p11(X53)
        | ~ p110(X53)
        | ~ p11(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X54)
        | ~ p10(X54)
        | ~ p109(X54)
        | p10(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X55)
        | p10(X55)
        | ~ p109(X55)
        | ~ p10(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X56)
        | ~ p9(X56)
        | ~ p108(X56)
        | p9(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X57)
        | p9(X57)
        | ~ p108(X57)
        | ~ p9(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X58)
        | ~ p8(X58)
        | ~ p107(X58)
        | p8(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X59)
        | p8(X59)
        | ~ p107(X59)
        | ~ p8(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X60)
        | ~ p7(X60)
        | ~ p106(X60)
        | p7(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X61)
        | p7(X61)
        | ~ p106(X61)
        | ~ p7(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X62)
        | ~ p6(X62)
        | ~ p105(X62)
        | p6(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X63)
        | p6(X63)
        | ~ p105(X63)
        | ~ p6(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X64)
        | ~ p5(X64)
        | ~ p104(X64)
        | p5(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X65)
        | p5(X65)
        | ~ p104(X65)
        | ~ p5(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X66)
        | ~ p4(X66)
        | ~ p103(X66)
        | p4(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X67)
        | p4(X67)
        | ~ p103(X67)
        | ~ p4(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X68)
        | ~ p3(X68)
        | ~ p102(X68)
        | p3(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X69)
        | p3(X69)
        | ~ p102(X69)
        | ~ p3(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X70)
        | ~ p2(X70)
        | ~ p101(X70)
        | p2(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X71)
        | p2(X71)
        | ~ p101(X71)
        | ~ p2(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X72)
        | ~ p1(X72)
        | ~ p100(X72)
        | p1(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( ~ r1(X11,X73)
        | p1(X73)
        | ~ p100(X73)
        | ~ p1(X11)
        | ~ p100(X11)
        | ~ epred1_1(X11) )
      & ( p115(X11)
        | ~ p116(X11)
        | ~ epred1_1(X11) )
      & ( p114(X11)
        | ~ p115(X11)
        | ~ epred1_1(X11) )
      & ( p113(X11)
        | ~ p114(X11)
        | ~ epred1_1(X11) )
      & ( p112(X11)
        | ~ p113(X11)
        | ~ epred1_1(X11) )
      & ( p111(X11)
        | ~ p112(X11)
        | ~ epred1_1(X11) )
      & ( p110(X11)
        | ~ p111(X11)
        | ~ epred1_1(X11) )
      & ( p109(X11)
        | ~ p110(X11)
        | ~ epred1_1(X11) )
      & ( p108(X11)
        | ~ p109(X11)
        | ~ epred1_1(X11) )
      & ( p107(X11)
        | ~ p108(X11)
        | ~ epred1_1(X11) )
      & ( p106(X11)
        | ~ p107(X11)
        | ~ epred1_1(X11) )
      & ( p105(X11)
        | ~ p106(X11)
        | ~ epred1_1(X11) )
      & ( p104(X11)
        | ~ p105(X11)
        | ~ epred1_1(X11) )
      & ( p103(X11)
        | ~ p104(X11)
        | ~ epred1_1(X11) )
      & ( p102(X11)
        | ~ p103(X11)
        | ~ epred1_1(X11) )
      & ( p101(X11)
        | ~ p102(X11)
        | ~ epred1_1(X11) )
      & ( p100(X11)
        | ~ p101(X11)
        | ~ epred1_1(X11) ) ),
    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_4])])])])]) ).

fof(c_0_8,negated_conjecture,
    ! [X9,X10] :
      ( ( ~ r1(esk1_0,X9)
        | p7(X9) )
      & ( ~ r1(esk1_0,X10)
        | epred1_1(X10) )
      & ~ 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_5])])])]) ).

fof(c_0_9,plain,
    ! [X4] : r1(X4,X4),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_10,plain,
    ( r1(X1,X3)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( r1(X1,esk29_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( r1(X1,esk31_1(X1))
    | p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,plain,
    ( p102(X1)
    | r1(X2,esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,plain,
    ( p101(esk31_1(X1))
    | p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_19,plain,
    ( p101(X1)
    | ~ p102(esk31_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_20,negated_conjecture,
    ( epred1_1(esk31_1(esk1_0))
    | ~ epred1_1(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_12,c_0_16]) ).

cnf(c_0_22,plain,
    ( r1(X1,esk27_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_23,plain,
    ( p101(X1)
    | r1(X1,esk29_1(esk31_1(X1)))
    | ~ epred1_1(esk31_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_18]),c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    epred1_1(esk31_1(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).

cnf(c_0_25,plain,
    ( p103(X1)
    | r1(X2,esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_22]) ).

cnf(c_0_26,plain,
    ( p102(esk29_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,plain,
    ( p102(X1)
    | ~ p103(esk29_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28,negated_conjecture,
    r1(esk1_0,esk29_1(esk31_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_23,c_0_24]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_29,plain,
    ( p102(X1)
    | r1(X1,esk27_1(esk29_1(X1)))
    | ~ epred1_1(esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_11]),c_0_26]),c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    epred1_1(esk29_1(esk31_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_12,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( p102(esk31_1(esk1_0))
    | r1(esk31_1(esk1_0),esk27_1(esk29_1(esk31_1(esk1_0))))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_24])]) ).

cnf(c_0_32,plain,
    ( p102(esk31_1(esk1_0))
    | r1(esk31_1(esk1_0),esk27_1(esk29_1(esk31_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_31,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_33,plain,
    ( r1(X1,esk24_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_34,plain,
    ( p102(esk31_1(esk1_0))
    | r1(X1,esk27_1(esk29_1(esk31_1(esk1_0))))
    | ~ r1(X1,esk31_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_32]) ).

cnf(c_0_35,plain,
    ( p104(X1)
    | r1(X2,esk24_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_33]) ).

cnf(c_0_36,plain,
    ( p103(esk27_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37,plain,
    ( p103(X1)
    | ~ p104(esk27_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,plain,
    ( p102(esk31_1(esk1_0))
    | r1(esk1_0,esk27_1(esk29_1(esk31_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_34,c_0_13]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_39,plain,
    ( p103(X1)
    | r1(X1,esk24_1(esk27_1(X1)))
    | ~ epred1_1(esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_36]),c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    ( epred1_1(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p102(esk31_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | r1(esk29_1(esk31_1(esk1_0)),esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | ~ p102(esk29_1(esk31_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30])]) ).

cnf(c_0_42,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | r1(esk29_1(esk31_1(esk1_0)),esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_26]),c_0_24])]) ).

cnf(c_0_43,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | r1(esk29_1(esk31_1(esk1_0)),esk24_1(esk27_1(esk29_1(esk31_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_42,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_44,plain,
    ( r1(X1,esk22_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_45,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | r1(X1,esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | ~ r1(X1,esk29_1(esk31_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_43]) ).

cnf(c_0_46,plain,
    ( p105(X1)
    | r1(X2,esk22_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_44]) ).

cnf(c_0_47,plain,
    ( p104(esk24_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_48,plain,
    ( p104(X1)
    | ~ p105(esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_49,negated_conjecture,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | r1(esk1_0,esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))) ),
    inference(spm,[status(thm)],[c_0_45,c_0_28]) ).

cnf(c_0_50,plain,
    ( p104(X1)
    | r1(X1,esk22_1(esk24_1(X1)))
    | ~ epred1_1(esk24_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_47]),c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( epred1_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_49]) ).

cnf(c_0_52,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | r1(esk27_1(esk29_1(esk31_1(esk1_0))),esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p103(esk27_1(esk29_1(esk31_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_40]) ).

cnf(c_0_53,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | r1(esk27_1(esk29_1(esk31_1(esk1_0))),esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p102(esk29_1(esk31_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_36]),c_0_30])]) ).

cnf(c_0_54,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | r1(esk27_1(esk29_1(esk31_1(esk1_0))),esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_26]),c_0_24])]) ).

cnf(c_0_55,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | r1(esk27_1(esk29_1(esk31_1(esk1_0))),esk22_1(esk24_1(esk27_1(esk29_1(esk31_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_54,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_56,plain,
    ( r1(X1,esk20_1(X1))
    | p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_57,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | r1(X1,esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ r1(X1,esk27_1(esk29_1(esk31_1(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_55]) ).

cnf(c_0_58,plain,
    ( p106(X1)
    | r1(X2,esk20_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_56]) ).

cnf(c_0_59,plain,
    ( p105(esk22_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_60,plain,
    ( p105(X1)
    | ~ p106(esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_61,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | r1(esk1_0,esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))) ),
    inference(spm,[status(thm)],[c_0_57,c_0_38]) ).

cnf(c_0_62,plain,
    ( p105(X1)
    | r1(X1,esk20_1(esk22_1(X1)))
    | ~ epred1_1(esk22_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_44]),c_0_59]),c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    ( epred1_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_61]) ).

cnf(c_0_64,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | r1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))),esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))))
    | ~ p104(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_51]) ).

cnf(c_0_65,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | r1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))),esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))))
    | ~ p103(esk27_1(esk29_1(esk31_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_47]),c_0_40]) ).

cnf(c_0_66,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | r1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))),esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))))
    | ~ p102(esk29_1(esk31_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_36]),c_0_30])]) ).

cnf(c_0_67,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | r1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))),esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_26]),c_0_24])]) ).

cnf(c_0_68,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | r1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))),esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_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_67,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_69,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | r1(X1,esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))))
    | ~ r1(X1,esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_68]) ).

cnf(c_0_70,negated_conjecture,
    ( p7(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_71,negated_conjecture,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | r1(esk1_0,esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_49]) ).

cnf(c_0_72,plain,
    ( p106(X1)
    | ~ p7(esk20_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_73,negated_conjecture,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p7(esk20_1(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_74,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p106(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p105(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_63]) ).

cnf(c_0_75,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p106(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p104(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_59]),c_0_51]) ).

cnf(c_0_76,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p106(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p103(esk27_1(esk29_1(esk31_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_47]),c_0_40]) ).

cnf(c_0_77,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p106(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p102(esk29_1(esk31_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_36]),c_0_30])]) ).

cnf(c_0_78,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p106(esk22_1(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_26]),c_0_24])]) ).

cnf(c_0_79,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | p106(esk22_1(esk24_1(esk27_1(esk29_1(esk31_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_78,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_80,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | ~ p104(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_79]),c_0_51]) ).

cnf(c_0_81,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | ~ p103(esk27_1(esk29_1(esk31_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_47]),c_0_40]) ).

cnf(c_0_82,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | ~ p102(esk29_1(esk31_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_36]),c_0_30])]) ).

cnf(c_0_83,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_1(esk1_0)))))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_26]),c_0_24])]) ).

cnf(c_0_84,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | p105(esk24_1(esk27_1(esk29_1(esk31_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_83,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_85,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | ~ p103(esk27_1(esk29_1(esk31_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_84]),c_0_40]) ).

cnf(c_0_86,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | ~ p102(esk29_1(esk31_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_36]),c_0_30])]) ).

cnf(c_0_87,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_1(esk1_0))))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_26]),c_0_24])]) ).

cnf(c_0_88,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk31_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_87,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_89,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | ~ p102(esk29_1(esk31_1(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_88]),c_0_30])]) ).

cnf(c_0_90,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_1(esk1_0)))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_26]),c_0_24])]) ).

cnf(c_0_91,plain,
    ( p102(esk31_1(esk1_0))
    | p103(esk29_1(esk31_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_90,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_92,plain,
    ( p102(esk31_1(esk1_0))
    | ~ p101(esk31_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_91]),c_0_24])]) ).

cnf(c_0_93,plain,
    p102(esk31_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_92,c_0_18]),c_0_21]),c_0_14])]),c_0_15]) ).

cnf(c_0_94,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_93]),c_0_21]),c_0_14])]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL674+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Thu Aug 24 17:06:42 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.45  start to proof: theBenchmark
% 8.32/8.63  % Version  : CSE_E---1.5
% 8.32/8.63  % Problem  : theBenchmark.p
% 8.32/8.63  % Proof found
% 8.32/8.63  % SZS status Theorem for theBenchmark.p
% 8.32/8.63  % SZS output start Proof
% See solution above
% 8.32/8.64  % Total time : 8.166000 s
% 8.32/8.64  % SZS output end Proof
% 8.32/8.64  % Total time : 8.170000 s
%------------------------------------------------------------------------------