TSTP Solution File: LCL656+1.015 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL656+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : Sat May  4 08:22:03 EDT 2024

% Result   : Theorem 222.26s 28.38s
% Output   : CNFRefutation 222.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   69
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  134 (   9 unt;   0 def)
%            Number of atoms       : 2537 (   0 equ)
%            Maximal formula atoms :  720 (  18 avg)
%            Number of connectives : 4269 (1866   ~;1771   |; 630   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  204 (  10 avg)
%            Maximal term depth    :    7 (   1 avg)
%            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   :  647 (   0 sgn 313   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
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)
                                                                        | p7(X2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ( ( ( ~ ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ~ ( ~ p16(X1)
                                                                                          & ~ 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/sandbox2/tmp/tmp.xebgxvESUP/E---3.1_23294.p',main) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.xebgxvESUP/E---3.1_23294.p',reflexivity) ).

fof(c_0_2,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_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)
                                                                          | p7(X2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [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)
                                                                            | 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_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] :
      ( ( ~ 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)
        | p7(X19) )
      & ( ~ r1(esk1_0,X20)
        | ~ r1(X20,X21)
        | ~ r1(X21,X22)
        | ~ r1(X22,X23)
        | ~ r1(X23,X24)
        | ~ r1(X24,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)
        | epred1_1(X34) )
      & ~ p101(esk1_0)
      & p100(esk1_0) ),
    inference(fof_nnf,[status(thm)],[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(X15)
    | ~ 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) ),
    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(X2,X14) ),
    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(X2,X13) ),
    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(X2,X12) ),
    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(X2,X11) ),
    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(X2,X10) ),
    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(X2,X9) ),
    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(X2,X8) ),
    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(X2,X7) ),
    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(X2,X6) ),
    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(X2,X5) ),
    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(X2,X4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_7]) ).

fof(c_0_19,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_2]) ).

cnf(c_0_20,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_7]) ).

fof(c_0_21,plain,
    ! [X35,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97] :
      ( ( r1(X35,esk2_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( ~ p16(esk2_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( ~ p116(esk2_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( p115(esk2_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk3_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( p16(esk3_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( ~ p116(esk3_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( p115(esk3_1(X35))
        | p115(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk4_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( ~ p15(esk4_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( ~ p115(esk4_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( p114(esk4_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk5_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( p15(esk5_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( ~ p115(esk5_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( p114(esk5_1(X35))
        | p114(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk6_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( ~ p14(esk6_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( ~ p114(esk6_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( p113(esk6_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk7_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( p14(esk7_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( ~ p114(esk7_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( p113(esk7_1(X35))
        | p113(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk8_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( ~ p13(esk8_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( ~ p113(esk8_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( p112(esk8_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk9_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( p13(esk9_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( ~ p113(esk9_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( p112(esk9_1(X35))
        | p112(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk10_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( ~ p12(esk10_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( ~ p112(esk10_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( p111(esk10_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk11_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( p12(esk11_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( ~ p112(esk11_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( p111(esk11_1(X35))
        | p111(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk12_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( ~ p11(esk12_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( ~ p111(esk12_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( p110(esk12_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk13_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( p11(esk13_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( ~ p111(esk13_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( p110(esk13_1(X35))
        | p110(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk14_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( ~ p10(esk14_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( ~ p110(esk14_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( p109(esk14_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk15_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( p10(esk15_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( ~ p110(esk15_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( p109(esk15_1(X35))
        | p109(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk16_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( ~ p9(esk16_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( ~ p109(esk16_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( p108(esk16_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk17_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( p9(esk17_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( ~ p109(esk17_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( p108(esk17_1(X35))
        | p108(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk18_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( ~ p8(esk18_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( ~ p108(esk18_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( p107(esk18_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk19_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( p8(esk19_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( ~ p108(esk19_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( p107(esk19_1(X35))
        | p107(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk20_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( ~ p7(esk20_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( ~ p107(esk20_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( p106(esk20_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk21_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( p7(esk21_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( ~ p107(esk21_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( p106(esk21_1(X35))
        | p106(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk22_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( ~ p6(esk22_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( ~ p106(esk22_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( p105(esk22_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk23_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( p6(esk23_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( ~ p106(esk23_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( p105(esk23_1(X35))
        | p105(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk24_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( ~ p5(esk24_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( ~ p105(esk24_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( p104(esk24_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk25_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( p5(esk25_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( ~ p105(esk25_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( p104(esk25_1(X35))
        | p104(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk26_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( ~ p4(esk26_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( ~ p104(esk26_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( p103(esk26_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk27_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( p4(esk27_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( ~ p104(esk27_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( p103(esk27_1(X35))
        | p103(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk28_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( ~ p3(esk28_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( ~ p103(esk28_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( p102(esk28_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk29_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( p3(esk29_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( ~ p103(esk29_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( p102(esk29_1(X35))
        | p102(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk30_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( ~ p2(esk30_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( ~ p102(esk30_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( p101(esk30_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( r1(X35,esk31_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( p2(esk31_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( ~ p102(esk31_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( p101(esk31_1(X35))
        | p101(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X66)
        | ~ p16(X66)
        | ~ p115(X66)
        | p16(X35)
        | ~ p115(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X67)
        | p16(X67)
        | ~ p115(X67)
        | ~ p16(X35)
        | ~ p115(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X68)
        | ~ p15(X68)
        | ~ p114(X68)
        | p15(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X69)
        | p15(X69)
        | ~ p114(X69)
        | ~ p15(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X70)
        | ~ p14(X70)
        | ~ p113(X70)
        | p14(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X71)
        | p14(X71)
        | ~ p113(X71)
        | ~ p14(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X72)
        | ~ p13(X72)
        | ~ p112(X72)
        | p13(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X73)
        | p13(X73)
        | ~ p112(X73)
        | ~ p13(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X74)
        | ~ p12(X74)
        | ~ p111(X74)
        | p12(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X75)
        | p12(X75)
        | ~ p111(X75)
        | ~ p12(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X76)
        | ~ p11(X76)
        | ~ p110(X76)
        | p11(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X77)
        | p11(X77)
        | ~ p110(X77)
        | ~ p11(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X78)
        | ~ p10(X78)
        | ~ p109(X78)
        | p10(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X79)
        | p10(X79)
        | ~ p109(X79)
        | ~ p10(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X80)
        | ~ p9(X80)
        | ~ p108(X80)
        | p9(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X81)
        | p9(X81)
        | ~ p108(X81)
        | ~ p9(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X82)
        | ~ p8(X82)
        | ~ p107(X82)
        | p8(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X83)
        | p8(X83)
        | ~ p107(X83)
        | ~ p8(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X84)
        | ~ p7(X84)
        | ~ p106(X84)
        | p7(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X85)
        | p7(X85)
        | ~ p106(X85)
        | ~ p7(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X86)
        | ~ p6(X86)
        | ~ p105(X86)
        | p6(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X87)
        | p6(X87)
        | ~ p105(X87)
        | ~ p6(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X88)
        | ~ p5(X88)
        | ~ p104(X88)
        | p5(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X89)
        | p5(X89)
        | ~ p104(X89)
        | ~ p5(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X90)
        | ~ p4(X90)
        | ~ p103(X90)
        | p4(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X91)
        | p4(X91)
        | ~ p103(X91)
        | ~ p4(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X92)
        | ~ p3(X92)
        | ~ p102(X92)
        | p3(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X93)
        | p3(X93)
        | ~ p102(X93)
        | ~ p3(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X94)
        | ~ p2(X94)
        | ~ p101(X94)
        | p2(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X95)
        | p2(X95)
        | ~ p101(X95)
        | ~ p2(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X96)
        | ~ p1(X96)
        | ~ p100(X96)
        | p1(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( ~ r1(X35,X97)
        | p1(X97)
        | ~ p100(X97)
        | ~ p1(X35)
        | ~ p100(X35)
        | ~ epred1_1(X35) )
      & ( p115(X35)
        | ~ p116(X35)
        | ~ epred1_1(X35) )
      & ( p114(X35)
        | ~ p115(X35)
        | ~ epred1_1(X35) )
      & ( p113(X35)
        | ~ p114(X35)
        | ~ epred1_1(X35) )
      & ( p112(X35)
        | ~ p113(X35)
        | ~ epred1_1(X35) )
      & ( p111(X35)
        | ~ p112(X35)
        | ~ epred1_1(X35) )
      & ( p110(X35)
        | ~ p111(X35)
        | ~ epred1_1(X35) )
      & ( p109(X35)
        | ~ p110(X35)
        | ~ epred1_1(X35) )
      & ( p108(X35)
        | ~ p109(X35)
        | ~ epred1_1(X35) )
      & ( p107(X35)
        | ~ p108(X35)
        | ~ epred1_1(X35) )
      & ( p106(X35)
        | ~ p107(X35)
        | ~ epred1_1(X35) )
      & ( p105(X35)
        | ~ p106(X35)
        | ~ epred1_1(X35) )
      & ( p104(X35)
        | ~ p105(X35)
        | ~ epred1_1(X35) )
      & ( p103(X35)
        | ~ p104(X35)
        | ~ epred1_1(X35) )
      & ( p102(X35)
        | ~ p103(X35)
        | ~ epred1_1(X35) )
      & ( p101(X35)
        | ~ p102(X35)
        | ~ epred1_1(X35) )
      & ( p100(X35)
        | ~ p101(X35)
        | ~ epred1_1(X35) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_7]) ).

cnf(c_0_23,negated_conjecture,
    ( p7(X15)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24,plain,
    ( r1(X1,esk30_1(X1))
    | p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_7]) ).

cnf(c_0_28,plain,
    ( p7(X1)
    | ~ epred1_1(esk1_0)
    | ~ r1(esk30_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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_27,c_0_7]) ).

cnf(c_0_30,plain,
    ( p7(X1)
    | ~ r1(esk30_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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).

cnf(c_0_31,plain,
    ( p7(X1)
    | ~ r1(esk30_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_30,c_0_7]) ).

cnf(c_0_32,plain,
    ( p7(X1)
    | ~ r1(esk30_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_31,c_0_7]) ).

cnf(c_0_33,plain,
    ( p7(X1)
    | ~ r1(esk30_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_32,c_0_7]) ).

cnf(c_0_34,plain,
    ( p7(X1)
    | ~ r1(esk30_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_33,c_0_7]) ).

cnf(c_0_35,plain,
    ( p7(X1)
    | ~ r1(esk30_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_34,c_0_7]) ).

cnf(c_0_36,plain,
    ( p7(X1)
    | ~ r1(esk30_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_35,c_0_7]) ).

cnf(c_0_37,plain,
    ( p7(X1)
    | ~ r1(esk30_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_36,c_0_7]) ).

cnf(c_0_38,plain,
    ( epred1_1(X1)
    | ~ epred1_1(esk1_0)
    | ~ r1(esk30_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_20,c_0_24]),c_0_25])]),c_0_26]) ).

cnf(c_0_39,plain,
    ( p7(X1)
    | ~ r1(esk30_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_37,c_0_7]) ).

cnf(c_0_40,plain,
    ( epred1_1(X1)
    | ~ r1(esk30_1(esk1_0),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_29])]) ).

cnf(c_0_41,plain,
    ( epred1_1(X1)
    | ~ epred1_1(esk1_0)
    | ~ r1(esk30_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_18,c_0_24]),c_0_25])]),c_0_26]) ).

cnf(c_0_42,plain,
    ( p7(X1)
    | ~ r1(esk30_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X2,X5) ),
    inference(spm,[status(thm)],[c_0_39,c_0_7]) ).

cnf(c_0_43,plain,
    ( r1(X1,esk29_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_44,plain,
    epred1_1(esk30_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_27,c_0_24]),c_0_25])]),c_0_26]),c_0_29])]) ).

cnf(c_0_45,plain,
    ( epred1_1(X1)
    | ~ r1(esk30_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_7]) ).

cnf(c_0_46,plain,
    ( epred1_1(X1)
    | ~ r1(esk30_1(esk1_0),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_29])]) ).

cnf(c_0_47,plain,
    ( epred1_1(X1)
    | ~ r1(esk30_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_17,c_0_24]),c_0_25])]),c_0_26]),c_0_29])]) ).

cnf(c_0_48,plain,
    ( p102(esk30_1(esk1_0))
    | p7(X1)
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk29_1(esk30_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_42,c_0_43]),c_0_44])]) ).

cnf(c_0_49,plain,
    ( p101(esk30_1(X1))
    | p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_50,plain,
    ( epred1_1(esk29_1(esk30_1(esk1_0)))
    | p102(esk30_1(esk1_0))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_44])]) ).

cnf(c_0_51,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk29_1(esk30_1(esk1_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_44])]) ).

cnf(c_0_52,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk29_1(esk30_1(esk1_0)),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_43]),c_0_44])]) ).

cnf(c_0_53,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk29_1(esk30_1(esk1_0)),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_44])]) ).

cnf(c_0_54,plain,
    ( p102(esk30_1(esk1_0))
    | p7(X1)
    | ~ r1(esk29_1(esk30_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_48,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_55,plain,
    ( r1(X1,esk27_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_56,plain,
    ( epred1_1(esk29_1(esk30_1(esk1_0)))
    | p102(esk30_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_50,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_57,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | ~ r1(esk29_1(esk30_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_51,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_58,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | ~ r1(esk29_1(esk30_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_52,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_59,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | ~ r1(esk29_1(esk30_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_53,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_60,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p7(X1)
    | ~ p102(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk27_1(esk29_1(esk30_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_61,plain,
    ( p102(esk29_1(X1))
    | p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_62,plain,
    ( epred1_1(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_55]),c_0_56]) ).

cnf(c_0_63,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p102(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk27_1(esk29_1(esk30_1(esk1_0))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_56]) ).

cnf(c_0_64,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p102(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk27_1(esk29_1(esk30_1(esk1_0))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_55]),c_0_56]) ).

cnf(c_0_65,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p7(X1)
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk27_1(esk29_1(esk30_1(esk1_0))),X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_44])]) ).

cnf(c_0_66,plain,
    ( epred1_1(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_44])]) ).

cnf(c_0_67,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk27_1(esk29_1(esk30_1(esk1_0))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_44])]) ).

cnf(c_0_68,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk27_1(esk29_1(esk30_1(esk1_0))),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_61]),c_0_44])]) ).

cnf(c_0_69,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p7(X1)
    | ~ r1(esk27_1(esk29_1(esk30_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_65,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_70,plain,
    ( r1(X1,esk25_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_71,plain,
    ( epred1_1(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_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_66,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_72,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk27_1(esk29_1(esk30_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_67,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_73,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk27_1(esk29_1(esk30_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_68,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_74,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p7(X1)
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).

cnf(c_0_75,plain,
    ( p103(esk27_1(X1))
    | p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_76,plain,
    ( epred1_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_70]),c_0_71]) ).

cnf(c_0_77,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_71]) ).

cnf(c_0_78,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p7(X1)
    | ~ p102(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))),X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_56]) ).

cnf(c_0_79,plain,
    ( epred1_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_75]),c_0_56]) ).

cnf(c_0_80,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p102(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_75]),c_0_56]) ).

cnf(c_0_81,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p7(X1)
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_61]),c_0_44])]) ).

cnf(c_0_82,plain,
    ( epred1_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_61]),c_0_44])]) ).

cnf(c_0_83,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_61]),c_0_44])]) ).

cnf(c_0_84,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p7(X1)
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_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_81,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_85,plain,
    ( r1(X1,esk23_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_86,plain,
    ( epred1_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_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_82,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_87,plain,
    ( epred1_1(X1)
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ r1(esk25_1(esk27_1(esk29_1(esk30_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_83,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_88,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p7(X1)
    | ~ p104(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ r1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).

cnf(c_0_89,plain,
    ( p104(esk25_1(X1))
    | p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_90,plain,
    ( epred1_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p104(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_85]),c_0_86]) ).

cnf(c_0_91,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p7(X1)
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ r1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_71]) ).

cnf(c_0_92,plain,
    ( epred1_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_89]),c_0_71]) ).

cnf(c_0_93,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p7(X1)
    | ~ p102(esk29_1(esk30_1(esk1_0)))
    | ~ r1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_75]),c_0_56]) ).

cnf(c_0_94,plain,
    ( epred1_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_75]),c_0_56]) ).

cnf(c_0_95,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p7(X1)
    | ~ p101(esk30_1(esk1_0))
    | ~ r1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_61]),c_0_44])]) ).

cnf(c_0_96,plain,
    ( epred1_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_61]),c_0_44])]) ).

cnf(c_0_97,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p7(X1)
    | ~ r1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_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_95,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_98,plain,
    ( r1(X1,esk20_1(X1))
    | p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_99,plain,
    ( epred1_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_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_96,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_100,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p7(esk20_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))))
    | ~ p105(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).

cnf(c_0_101,plain,
    ( p105(esk23_1(X1))
    | p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_102,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p7(esk20_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))))
    | ~ p104(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_86]) ).

cnf(c_0_103,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p7(esk20_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))))
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_89]),c_0_71]) ).

cnf(c_0_104,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p7(esk20_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_75]),c_0_56]) ).

cnf(c_0_105,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p7(esk20_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_61]),c_0_44])]) ).

cnf(c_0_106,plain,
    ( p106(X1)
    | ~ p7(esk20_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_107,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | p7(esk20_1(esk23_1(esk25_1(esk27_1(esk29_1(esk30_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_105,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_108,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | ~ p105(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_99]) ).

cnf(c_0_109,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | ~ p104(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_101]),c_0_86]) ).

cnf(c_0_110,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_89]),c_0_71]) ).

cnf(c_0_111,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_75]),c_0_56]) ).

cnf(c_0_112,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_61]),c_0_44])]) ).

cnf(c_0_113,plain,
    ( p105(X1)
    | ~ p106(esk23_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_114,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | p106(esk23_1(esk25_1(esk27_1(esk29_1(esk30_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_112,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_115,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p104(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_86]) ).

cnf(c_0_116,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_89]),c_0_71]) ).

cnf(c_0_117,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_75]),c_0_56]) ).

cnf(c_0_118,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_1(esk1_0)))))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_61]),c_0_44])]) ).

cnf(c_0_119,plain,
    ( p104(X1)
    | ~ p105(esk25_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_120,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | p105(esk25_1(esk27_1(esk29_1(esk30_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_118,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_121,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p103(esk27_1(esk29_1(esk30_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_71]) ).

cnf(c_0_122,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_75]),c_0_56]) ).

cnf(c_0_123,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_1(esk1_0))))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_61]),c_0_44])]) ).

cnf(c_0_124,plain,
    ( p103(X1)
    | ~ p104(esk27_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_125,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | p104(esk27_1(esk29_1(esk30_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_123,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_126,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p102(esk29_1(esk30_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_56]) ).

cnf(c_0_127,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_1(esk1_0)))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_61]),c_0_44])]) ).

cnf(c_0_128,plain,
    ( p102(X1)
    | ~ p103(esk29_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_129,plain,
    ( p102(esk30_1(esk1_0))
    | p103(esk29_1(esk30_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_127,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_130,plain,
    ( p102(esk30_1(esk1_0))
    | ~ p101(esk30_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_44])]) ).

cnf(c_0_131,plain,
    ( p101(X1)
    | ~ p102(esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_132,plain,
    p102(esk30_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_130,c_0_49]),c_0_29]),c_0_25])]),c_0_26]) ).

cnf(c_0_133,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_29]),c_0_25])]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : LCL656+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 09:16:39 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xebgxvESUP/E---3.1_23294.p
% 222.26/28.38  # Version: 3.1.0
% 222.26/28.38  # Preprocessing class: FSLSSMSSSSSNFFN.
% 222.26/28.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 222.26/28.38  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 222.26/28.38  # Starting new_bool_3 with 300s (1) cores
% 222.26/28.38  # Starting new_bool_1 with 300s (1) cores
% 222.26/28.38  # Starting sh5l with 300s (1) cores
% 222.26/28.38  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 23373 completed with status 0
% 222.26/28.38  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 222.26/28.38  # Preprocessing class: FSLSSMSSSSSNFFN.
% 222.26/28.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 222.26/28.38  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 222.26/28.38  # No SInE strategy applied
% 222.26/28.38  # Search class: FGUNF-FSLF11-SFFFFFNN
% 222.26/28.38  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 222.26/28.38  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 563s (1) cores
% 222.26/28.38  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2S with 235s (1) cores
% 222.26/28.38  # Starting new_bool_3 with 235s (1) cores
% 222.26/28.38  # Starting new_bool_1 with 235s (1) cores
% 222.26/28.38  # Starting sh5l with 232s (1) cores
% 222.26/28.38  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 23379 completed with status 0
% 222.26/28.38  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 222.26/28.38  # Preprocessing class: FSLSSMSSSSSNFFN.
% 222.26/28.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 222.26/28.38  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 222.26/28.38  # No SInE strategy applied
% 222.26/28.38  # Search class: FGUNF-FSLF11-SFFFFFNN
% 222.26/28.38  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 222.26/28.38  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 563s (1) cores
% 222.26/28.38  # Preprocessing time       : 0.002 s
% 222.26/28.38  # Presaturation interreduction done
% 222.26/28.38  
% 222.26/28.38  # Proof found!
% 222.26/28.38  # SZS status Theorem
% 222.26/28.38  # SZS output start CNFRefutation
% See solution above
% 222.26/28.38  # Parsed axioms                        : 2
% 222.26/28.38  # Removed by relevancy pruning/SinE    : 0
% 222.26/28.38  # Initial clauses                      : 173
% 222.26/28.38  # Removed in clause preprocessing      : 0
% 222.26/28.38  # Initial clauses in saturation        : 173
% 222.26/28.38  # Processed clauses                    : 26825
% 222.26/28.38  # ...of these trivial                  : 72
% 222.26/28.38  # ...subsumed                          : 13875
% 222.26/28.38  # ...remaining for further processing  : 12878
% 222.26/28.38  # Other redundant clauses eliminated   : 0
% 222.26/28.38  # Clauses deleted for lack of memory   : 0
% 222.26/28.38  # Backward-subsumed                    : 5590
% 222.26/28.38  # Backward-rewritten                   : 1862
% 222.26/28.38  # Generated clauses                    : 48414
% 222.26/28.38  # ...of the previous two non-redundant : 41016
% 222.26/28.38  # ...aggressively subsumed             : 0
% 222.26/28.38  # Contextual simplify-reflections      : 9008
% 222.26/28.38  # Paramodulations                      : 48414
% 222.26/28.38  # Factorizations                       : 0
% 222.26/28.38  # NegExts                              : 0
% 222.26/28.38  # Equation resolutions                 : 0
% 222.26/28.38  # Disequality decompositions           : 0
% 222.26/28.38  # Total rewrite steps                  : 10063
% 222.26/28.38  # ...of those cached                   : 10056
% 222.26/28.38  # Propositional unsat checks           : 2
% 222.26/28.38  #    Propositional check models        : 2
% 222.26/28.38  #    Propositional check unsatisfiable : 0
% 222.26/28.38  #    Propositional clauses             : 0
% 222.26/28.38  #    Propositional clauses after purity: 0
% 222.26/28.38  #    Propositional unsat core size     : 0
% 222.26/28.38  #    Propositional preprocessing time  : 0.000
% 222.26/28.38  #    Propositional encoding time       : 0.030
% 222.26/28.38  #    Propositional solver time         : 0.013
% 222.26/28.38  #    Success case prop preproc time    : 0.000
% 222.26/28.38  #    Success case prop encoding time   : 0.000
% 222.26/28.38  #    Success case prop solver time     : 0.000
% 222.26/28.38  # Current number of processed clauses  : 5253
% 222.26/28.38  #    Positive orientable unit clauses  : 9
% 222.26/28.38  #    Positive unorientable unit clauses: 0
% 222.26/28.38  #    Negative unit clauses             : 38
% 222.26/28.38  #    Non-unit-clauses                  : 5206
% 222.26/28.38  # Current number of unprocessed clauses: 14355
% 222.26/28.38  # ...number of literals in the above   : 163550
% 222.26/28.38  # Current number of archived formulas  : 0
% 222.26/28.38  # Current number of archived clauses   : 7625
% 222.26/28.38  # Clause-clause subsumption calls (NU) : 60942268
% 222.26/28.38  # Rec. Clause-clause subsumption calls : 299254
% 222.26/28.38  # Non-unit clause-clause subsumptions  : 26057
% 222.26/28.38  # Unit Clause-clause subsumption calls : 51741
% 222.26/28.38  # Rewrite failures with RHS unbound    : 0
% 222.26/28.38  # BW rewrite match attempts            : 2
% 222.26/28.38  # BW rewrite match successes           : 2
% 222.26/28.38  # Condensation attempts                : 0
% 222.26/28.38  # Condensation successes               : 0
% 222.26/28.38  # Termbank termtop insertions          : 2188445
% 222.26/28.38  # Search garbage collected termcells   : 2617
% 222.26/28.38  
% 222.26/28.38  # -------------------------------------------------
% 222.26/28.38  # User time                : 27.856 s
% 222.26/28.38  # System time              : 0.066 s
% 222.26/28.38  # Total time               : 27.922 s
% 222.26/28.38  # Maximum resident set size: 2612 pages
% 222.26/28.38  
% 222.26/28.38  # -------------------------------------------------
% 222.26/28.38  # User time                : 138.322 s
% 222.26/28.38  # System time              : 0.117 s
% 222.26/28.38  # Total time               : 138.439 s
% 222.26/28.38  # Maximum resident set size: 1776 pages
% 222.26/28.38  % E---3.1 exiting
% 222.26/28.38  % E exiting
%------------------------------------------------------------------------------