TSTP Solution File: LCL674+1.020 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LCL674+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 10:16:32 EDT 2022

% Result   : Theorem 0.27s 1.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   57 (   7 unt;   0 def)
%            Number of atoms       : 2443 (   0 equ)
%            Maximal formula atoms :  955 (  42 avg)
%            Number of connectives : 4305 (1919   ~;1547   |; 836   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  269 (  13 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   46 (  45 usr;   1 prp; 0-2 aty)
%            Number of functors    :   41 (  41 usr;   1 con; 0-1 aty)
%            Number of variables   :  358 (   0 sgn 305   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p8(X2) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ( ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p21(X1)
                                  & ~ p121(X1)
                                  & p120(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p21(X1)
                                  & ~ p121(X1)
                                  & p120(X1) ) ) )
                      | ~ ( ~ p120(X2)
                          & p119(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p20(X1)
                                  & ~ p120(X1)
                                  & p119(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p20(X1)
                                  & ~ p120(X1)
                                  & p119(X1) ) ) )
                      | ~ ( ~ p119(X2)
                          & p118(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p19(X1)
                                  & ~ p119(X1)
                                  & p118(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p19(X1)
                                  & ~ p119(X1)
                                  & p118(X1) ) ) )
                      | ~ ( ~ p118(X2)
                          & p117(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p18(X1)
                                  & ~ p118(X1)
                                  & p117(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p18(X1)
                                  & ~ p118(X1)
                                  & p117(X1) ) ) )
                      | ~ ( ~ p117(X2)
                          & p116(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p17(X1)
                                  & ~ p117(X1)
                                  & p116(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p17(X1)
                                  & ~ p117(X1)
                                  & p116(X1) ) ) )
                      | ~ ( ~ p116(X2)
                          & p115(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)
                              | ~ p21(X1)
                              | ~ p120(X1) )
                          | p21(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p21(X1)
                              | ~ p120(X1) )
                          | ~ p21(X2) ) )
                      | ~ p120(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p20(X1)
                              | ~ p119(X1) )
                          | p20(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p20(X1)
                              | ~ p119(X1) )
                          | ~ p20(X2) ) )
                      | ~ p119(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p19(X1)
                              | ~ p118(X1) )
                          | p19(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p19(X1)
                              | ~ p118(X1) )
                          | ~ p19(X2) ) )
                      | ~ p118(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p18(X1)
                              | ~ p117(X1) )
                          | p18(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p18(X1)
                              | ~ p117(X1) )
                          | ~ p18(X2) ) )
                      | ~ p117(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p17(X1)
                              | ~ p116(X1) )
                          | p17(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p17(X1)
                              | ~ p116(X1) )
                          | ~ p17(X2) ) )
                      | ~ p116(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) )
                    & ( p120(X2)
                      | ~ p121(X2) )
                    & ( p119(X2)
                      | ~ p120(X2) )
                    & ( p118(X2)
                      | ~ p119(X2) )
                    & ( p117(X2)
                      | ~ p118(X2) )
                    & ( p116(X2)
                      | ~ p117(X2) )
                    & ( p115(X2)
                      | ~ p116(X2) )
                    & ( p114(X2)
                      | ~ p115(X2) )
                    & ( p113(X2)
                      | ~ p114(X2) )
                    & ( p112(X2)
                      | ~ p113(X2) )
                    & ( p111(X2)
                      | ~ p112(X2) )
                    & ( p110(X2)
                      | ~ p111(X2) )
                    & ( p109(X2)
                      | ~ p110(X2) )
                    & ( p108(X2)
                      | ~ p109(X2) )
                    & ( p107(X2)
                      | ~ p108(X2) )
                    & ( p106(X2)
                      | ~ p107(X2) )
                    & ( p105(X2)
                      | ~ p106(X2) )
                    & ( p104(X2)
                      | ~ p105(X2) )
                    & ( p103(X2)
                      | ~ p104(X2) )
                    & ( p102(X2)
                      | ~ p103(X2) )
                    & ( p101(X2)
                      | ~ p102(X2) )
                    & ( p100(X2)
                      | ~ p101(X2) ) ) )
              & ~ p101(X1)
              & p100(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).

fof(transitivity,axiom,
    ! [X1,X2,X3] :
      ( ( r1(X1,X2)
        & r1(X2,X3) )
     => r1(X1,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',transitivity) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity) ).

fof(c_0_3,plain,
    ! [X2] :
      ( epred1_1(X2)
    <=> ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p21(X1)
                      & ~ p121(X1)
                      & p120(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p21(X1)
                      & ~ p121(X1)
                      & p120(X1) ) ) )
          | ~ ( ~ p120(X2)
              & p119(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p20(X1)
                      & ~ p120(X1)
                      & p119(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p20(X1)
                      & ~ p120(X1)
                      & p119(X1) ) ) )
          | ~ ( ~ p119(X2)
              & p118(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p19(X1)
                      & ~ p119(X1)
                      & p118(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p19(X1)
                      & ~ p119(X1)
                      & p118(X1) ) ) )
          | ~ ( ~ p118(X2)
              & p117(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p18(X1)
                      & ~ p118(X1)
                      & p117(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p18(X1)
                      & ~ p118(X1)
                      & p117(X1) ) ) )
          | ~ ( ~ p117(X2)
              & p116(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p17(X1)
                      & ~ p117(X1)
                      & p116(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p17(X1)
                      & ~ p117(X1)
                      & p116(X1) ) ) )
          | ~ ( ~ p116(X2)
              & p115(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)
                  | ~ p21(X1)
                  | ~ p120(X1) )
              | p21(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p21(X1)
                  | ~ p120(X1) )
              | ~ p21(X2) ) )
          | ~ p120(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p20(X1)
                  | ~ p119(X1) )
              | p20(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p20(X1)
                  | ~ p119(X1) )
              | ~ p20(X2) ) )
          | ~ p119(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p19(X1)
                  | ~ p118(X1) )
              | p19(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p19(X1)
                  | ~ p118(X1) )
              | ~ p19(X2) ) )
          | ~ p118(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p18(X1)
                  | ~ p117(X1) )
              | p18(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p18(X1)
                  | ~ p117(X1) )
              | ~ p18(X2) ) )
          | ~ p117(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p17(X1)
                  | ~ p116(X1) )
              | p17(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p17(X1)
                  | ~ p116(X1) )
              | ~ p17(X2) ) )
          | ~ p116(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) )
        & ( p120(X2)
          | ~ p121(X2) )
        & ( p119(X2)
          | ~ p120(X2) )
        & ( p118(X2)
          | ~ p119(X2) )
        & ( p117(X2)
          | ~ p118(X2) )
        & ( p116(X2)
          | ~ p117(X2) )
        & ( p115(X2)
          | ~ p116(X2) )
        & ( p114(X2)
          | ~ p115(X2) )
        & ( p113(X2)
          | ~ p114(X2) )
        & ( p112(X2)
          | ~ p113(X2) )
        & ( p111(X2)
          | ~ p112(X2) )
        & ( p110(X2)
          | ~ p111(X2) )
        & ( p109(X2)
          | ~ p110(X2) )
        & ( p108(X2)
          | ~ p109(X2) )
        & ( p107(X2)
          | ~ p108(X2) )
        & ( p106(X2)
          | ~ p107(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    introduced(definition) ).

fof(c_0_4,plain,
    ! [X2] :
      ( epred1_1(X2)
     => ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p21(X1)
                      & ~ p121(X1)
                      & p120(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p21(X1)
                      & ~ p121(X1)
                      & p120(X1) ) ) )
          | ~ ( ~ p120(X2)
              & p119(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p20(X1)
                      & ~ p120(X1)
                      & p119(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p20(X1)
                      & ~ p120(X1)
                      & p119(X1) ) ) )
          | ~ ( ~ p119(X2)
              & p118(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p19(X1)
                      & ~ p119(X1)
                      & p118(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p19(X1)
                      & ~ p119(X1)
                      & p118(X1) ) ) )
          | ~ ( ~ p118(X2)
              & p117(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p18(X1)
                      & ~ p118(X1)
                      & p117(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p18(X1)
                      & ~ p118(X1)
                      & p117(X1) ) ) )
          | ~ ( ~ p117(X2)
              & p116(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p17(X1)
                      & ~ p117(X1)
                      & p116(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p17(X1)
                      & ~ p117(X1)
                      & p116(X1) ) ) )
          | ~ ( ~ p116(X2)
              & p115(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)
                  | ~ p21(X1)
                  | ~ p120(X1) )
              | p21(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p21(X1)
                  | ~ p120(X1) )
              | ~ p21(X2) ) )
          | ~ p120(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p20(X1)
                  | ~ p119(X1) )
              | p20(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p20(X1)
                  | ~ p119(X1) )
              | ~ p20(X2) ) )
          | ~ p119(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p19(X1)
                  | ~ p118(X1) )
              | p19(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p19(X1)
                  | ~ p118(X1) )
              | ~ p19(X2) ) )
          | ~ p118(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p18(X1)
                  | ~ p117(X1) )
              | p18(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p18(X1)
                  | ~ p117(X1) )
              | ~ p18(X2) ) )
          | ~ p117(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p17(X1)
                  | ~ p116(X1) )
              | p17(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p17(X1)
                  | ~ p116(X1) )
              | ~ p17(X2) ) )
          | ~ p116(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) )
        & ( p120(X2)
          | ~ p121(X2) )
        & ( p119(X2)
          | ~ p120(X2) )
        & ( p118(X2)
          | ~ p119(X2) )
        & ( p117(X2)
          | ~ p118(X2) )
        & ( p116(X2)
          | ~ p117(X2) )
        & ( p115(X2)
          | ~ p116(X2) )
        & ( p114(X2)
          | ~ p115(X2) )
        & ( p113(X2)
          | ~ p114(X2) )
        & ( p112(X2)
          | ~ p113(X2) )
        & ( p111(X2)
          | ~ p112(X2) )
        & ( p110(X2)
          | ~ p111(X2) )
        & ( p109(X2)
          | ~ p110(X2) )
        & ( p108(X2)
          | ~ p109(X2) )
        & ( p107(X2)
          | ~ p108(X2) )
        & ( p106(X2)
          | ~ p107(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_3]) ).

fof(c_0_5,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p8(X2) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | epred1_1(X2) )
                & ~ p101(X1)
                & p100(X1) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]),c_0_3]) ).

fof(c_0_6,plain,
    ! [X3,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85] :
      ( ( r1(X3,esk2_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( ~ p21(esk2_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( ~ p121(esk2_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( p120(esk2_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk3_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( p21(esk3_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( ~ p121(esk3_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( p120(esk3_1(X3))
        | p120(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk4_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( ~ p20(esk4_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( ~ p120(esk4_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( p119(esk4_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk5_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( p20(esk5_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( ~ p120(esk5_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( p119(esk5_1(X3))
        | p119(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk6_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( ~ p19(esk6_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( ~ p119(esk6_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( p118(esk6_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk7_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( p19(esk7_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( ~ p119(esk7_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( p118(esk7_1(X3))
        | p118(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk8_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( ~ p18(esk8_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( ~ p118(esk8_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( p117(esk8_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk9_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( p18(esk9_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( ~ p118(esk9_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( p117(esk9_1(X3))
        | p117(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk10_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( ~ p17(esk10_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( ~ p117(esk10_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( p116(esk10_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk11_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( p17(esk11_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( ~ p117(esk11_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( p116(esk11_1(X3))
        | p116(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk12_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ p16(esk12_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ p116(esk12_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p115(esk12_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk13_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p16(esk13_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ p116(esk13_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p115(esk13_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk14_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ p15(esk14_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ p115(esk14_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p114(esk14_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk15_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p15(esk15_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ p115(esk15_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p114(esk15_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk16_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ p14(esk16_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ p114(esk16_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p113(esk16_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk17_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p14(esk17_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ p114(esk17_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p113(esk17_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk18_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ p13(esk18_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ p113(esk18_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p112(esk18_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk19_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p13(esk19_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ p113(esk19_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p112(esk19_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk20_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ p12(esk20_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ p112(esk20_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p111(esk20_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk21_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p12(esk21_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ p112(esk21_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p111(esk21_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk22_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p11(esk22_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p111(esk22_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p110(esk22_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk23_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p11(esk23_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p111(esk23_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p110(esk23_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk24_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p10(esk24_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p110(esk24_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p109(esk24_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk25_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p10(esk25_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p110(esk25_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p109(esk25_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk26_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p9(esk26_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p109(esk26_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p108(esk26_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk27_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p9(esk27_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p109(esk27_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p108(esk27_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk28_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p8(esk28_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p108(esk28_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p107(esk28_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk29_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p8(esk29_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p108(esk29_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p107(esk29_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk30_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p7(esk30_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p107(esk30_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p106(esk30_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk31_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p7(esk31_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p107(esk31_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p106(esk31_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk32_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p6(esk32_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p106(esk32_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p105(esk32_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk33_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p6(esk33_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p106(esk33_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p105(esk33_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk34_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p5(esk34_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk34_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p104(esk34_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk35_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p5(esk35_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk35_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p104(esk35_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk36_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p4(esk36_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk36_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p103(esk36_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk37_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p4(esk37_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk37_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p103(esk37_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk38_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p3(esk38_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk38_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p102(esk38_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk39_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p3(esk39_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk39_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p102(esk39_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk40_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p2(esk40_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk40_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p101(esk40_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk41_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p2(esk41_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk41_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p101(esk41_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X44)
        | ~ p21(X44)
        | ~ p120(X44)
        | p21(X3)
        | ~ p120(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X45)
        | p21(X45)
        | ~ p120(X45)
        | ~ p21(X3)
        | ~ p120(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X46)
        | ~ p20(X46)
        | ~ p119(X46)
        | p20(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X47)
        | p20(X47)
        | ~ p119(X47)
        | ~ p20(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X48)
        | ~ p19(X48)
        | ~ p118(X48)
        | p19(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X49)
        | p19(X49)
        | ~ p118(X49)
        | ~ p19(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X50)
        | ~ p18(X50)
        | ~ p117(X50)
        | p18(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X51)
        | p18(X51)
        | ~ p117(X51)
        | ~ p18(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X52)
        | ~ p17(X52)
        | ~ p116(X52)
        | p17(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X53)
        | p17(X53)
        | ~ p116(X53)
        | ~ p17(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X54)
        | ~ p16(X54)
        | ~ p115(X54)
        | p16(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X55)
        | p16(X55)
        | ~ p115(X55)
        | ~ p16(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X56)
        | ~ p15(X56)
        | ~ p114(X56)
        | p15(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X57)
        | p15(X57)
        | ~ p114(X57)
        | ~ p15(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X58)
        | ~ p14(X58)
        | ~ p113(X58)
        | p14(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X59)
        | p14(X59)
        | ~ p113(X59)
        | ~ p14(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X60)
        | ~ p13(X60)
        | ~ p112(X60)
        | p13(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X61)
        | p13(X61)
        | ~ p112(X61)
        | ~ p13(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X62)
        | ~ p12(X62)
        | ~ p111(X62)
        | p12(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X63)
        | p12(X63)
        | ~ p111(X63)
        | ~ p12(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X64)
        | ~ p11(X64)
        | ~ p110(X64)
        | p11(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X65)
        | p11(X65)
        | ~ p110(X65)
        | ~ p11(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X66)
        | ~ p10(X66)
        | ~ p109(X66)
        | p10(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X67)
        | p10(X67)
        | ~ p109(X67)
        | ~ p10(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X68)
        | ~ p9(X68)
        | ~ p108(X68)
        | p9(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X69)
        | p9(X69)
        | ~ p108(X69)
        | ~ p9(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X70)
        | ~ p8(X70)
        | ~ p107(X70)
        | p8(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X71)
        | p8(X71)
        | ~ p107(X71)
        | ~ p8(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X72)
        | ~ p7(X72)
        | ~ p106(X72)
        | p7(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X73)
        | p7(X73)
        | ~ p106(X73)
        | ~ p7(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X74)
        | ~ p6(X74)
        | ~ p105(X74)
        | p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X75)
        | p6(X75)
        | ~ p105(X75)
        | ~ p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X76)
        | ~ p5(X76)
        | ~ p104(X76)
        | p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X77)
        | p5(X77)
        | ~ p104(X77)
        | ~ p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X78)
        | ~ p4(X78)
        | ~ p103(X78)
        | p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X79)
        | p4(X79)
        | ~ p103(X79)
        | ~ p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X80)
        | ~ p3(X80)
        | ~ p102(X80)
        | p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X81)
        | p3(X81)
        | ~ p102(X81)
        | ~ p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X82)
        | ~ p2(X82)
        | ~ p101(X82)
        | p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X83)
        | p2(X83)
        | ~ p101(X83)
        | ~ p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X84)
        | ~ p1(X84)
        | ~ p100(X84)
        | p1(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X85)
        | p1(X85)
        | ~ p100(X85)
        | ~ p1(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p120(X3)
        | ~ p121(X3)
        | ~ epred1_1(X3) )
      & ( p119(X3)
        | ~ p120(X3)
        | ~ epred1_1(X3) )
      & ( p118(X3)
        | ~ p119(X3)
        | ~ epred1_1(X3) )
      & ( p117(X3)
        | ~ p118(X3)
        | ~ epred1_1(X3) )
      & ( p116(X3)
        | ~ p117(X3)
        | ~ epred1_1(X3) )
      & ( p115(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( p114(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( p113(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p112(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p111(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p110(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p109(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p108(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p107(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p106(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p105(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p104(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p103(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p102(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p101(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p100(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ! [X4,X5] :
      ( ( ~ r1(esk1_0,X4)
        | p8(X4) )
      & ( ~ r1(esk1_0,X5)
        | epred1_1(X5) )
      & ~ p101(esk1_0)
      & p100(esk1_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])]) ).

fof(c_0_8,plain,
    ! [X4,X5,X6] :
      ( ~ r1(X4,X5)
      | ~ r1(X5,X6)
      | r1(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).

cnf(c_0_9,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p8(esk28_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( p8(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( p107(X1)
    | r1(X1,esk28_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ r1(esk1_0,esk28_1(X1)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( p107(X1)
    | r1(X2,esk28_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    ( p107(X1)
    | ~ p106(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_17,plain,
    ( p106(X1)
    | p106(esk30_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p107(esk30_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,plain,
    ( p106(X1)
    | r1(X1,esk30_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ r1(esk1_0,esk30_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_21,plain,
    ( p106(X1)
    | r1(X2,esk30_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_19]) ).

cnf(c_0_22,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).

cnf(c_0_23,plain,
    ( p105(X1)
    | p105(esk32_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p106(esk32_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,plain,
    ( p105(X1)
    | r1(X1,esk32_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_26,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ r1(esk1_0,esk32_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_27,plain,
    ( p105(X1)
    | r1(X2,esk32_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_25]) ).

cnf(c_0_28,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_15]) ).

cnf(c_0_29,plain,
    ( p104(X1)
    | p104(esk34_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_30,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p105(esk34_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_31,plain,
    ( p104(X1)
    | r1(X1,esk34_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ r1(esk1_0,esk34_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_33,plain,
    ( p104(X1)
    | r1(X2,esk34_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_31]) ).

cnf(c_0_34,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_15]) ).

cnf(c_0_35,plain,
    ( p103(X1)
    | p103(esk36_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_36,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p104(esk36_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_37,plain,
    ( p103(X1)
    | r1(X1,esk36_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_38,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ r1(esk1_0,esk36_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_39,plain,
    ( p103(X1)
    | r1(X2,esk36_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_37]) ).

cnf(c_0_40,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_15]) ).

cnf(c_0_41,plain,
    ( p102(X1)
    | p102(esk39_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_42,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p103(esk39_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_43,plain,
    ( p102(X1)
    | r1(X1,esk39_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_44,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ r1(esk1_0,esk39_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_45,plain,
    ( p102(X1)
    | r1(X2,esk39_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_43]) ).

fof(c_0_46,plain,
    ! [X2] : r1(X2,X2),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_47,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_15]) ).

cnf(c_0_48,plain,
    ( p101(X1)
    | p101(esk41_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_49,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p102(esk41_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_50,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ r1(esk1_0,esk41_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_52,plain,
    ( p101(X1)
    | r1(X1,esk41_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_53,negated_conjecture,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_15,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_55,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_56,plain,
    $false,
    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_52]),c_0_53]),c_0_54])]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL674+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : run_ET %s %d
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul  4 08:51:06 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.27/1.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45  # Preprocessing time       : 0.031 s
% 0.27/1.45  
% 0.27/1.45  # Proof found!
% 0.27/1.45  # SZS status Theorem
% 0.27/1.45  # SZS output start CNFRefutation
% See solution above
% 0.27/1.45  # Proof object total steps             : 57
% 0.27/1.45  # Proof object clause steps            : 47
% 0.27/1.45  # Proof object formula steps           : 10
% 0.27/1.45  # Proof object conjectures             : 10
% 0.27/1.45  # Proof object clause conjectures      : 7
% 0.27/1.45  # Proof object formula conjectures     : 3
% 0.27/1.45  # Proof object initial clauses used    : 26
% 0.27/1.45  # Proof object initial formulas used   : 3
% 0.27/1.45  # Proof object generating inferences   : 21
% 0.27/1.45  # Proof object simplifying inferences  : 16
% 0.27/1.45  # Training examples: 0 positive, 0 negative
% 0.27/1.45  # Parsed axioms                        : 3
% 0.27/1.45  # Removed by relevancy pruning/SinE    : 0
% 0.27/1.45  # Initial clauses                      : 229
% 0.27/1.45  # Removed in clause preprocessing      : 0
% 0.27/1.45  # Initial clauses in saturation        : 229
% 0.27/1.45  # Processed clauses                    : 847
% 0.27/1.45  # ...of these trivial                  : 0
% 0.27/1.45  # ...subsumed                          : 60
% 0.27/1.45  # ...remaining for further processing  : 787
% 0.27/1.45  # Other redundant clauses eliminated   : 0
% 0.27/1.45  # Clauses deleted for lack of memory   : 0
% 0.27/1.45  # Backward-subsumed                    : 2
% 0.27/1.45  # Backward-rewritten                   : 0
% 0.27/1.45  # Generated clauses                    : 4129
% 0.27/1.45  # ...of the previous two non-trivial   : 3948
% 0.27/1.45  # Contextual simplify-reflections      : 101
% 0.27/1.45  # Paramodulations                      : 4129
% 0.27/1.45  # Factorizations                       : 0
% 0.27/1.45  # Equation resolutions                 : 0
% 0.27/1.45  # Current number of processed clauses  : 785
% 0.27/1.45  #    Positive orientable unit clauses  : 5
% 0.27/1.45  #    Positive unorientable unit clauses: 0
% 0.27/1.45  #    Negative unit clauses             : 19
% 0.27/1.45  #    Non-unit-clauses                  : 761
% 0.27/1.45  # Current number of unprocessed clauses: 3330
% 0.27/1.45  # ...number of literals in the above   : 26702
% 0.27/1.45  # Current number of archived formulas  : 0
% 0.27/1.45  # Current number of archived clauses   : 2
% 0.27/1.45  # Clause-clause subsumption calls (NU) : 90771
% 0.27/1.45  # Rec. Clause-clause subsumption calls : 4715
% 0.27/1.45  # Non-unit clause-clause subsumptions  : 123
% 0.27/1.45  # Unit Clause-clause subsumption calls : 2445
% 0.27/1.45  # Rewrite failures with RHS unbound    : 0
% 0.27/1.45  # BW rewrite match attempts            : 0
% 0.27/1.45  # BW rewrite match successes           : 0
% 0.27/1.45  # Condensation attempts                : 0
% 0.27/1.45  # Condensation successes               : 0
% 0.27/1.45  # Termbank termtop insertions          : 101154
% 0.27/1.45  
% 0.27/1.45  # -------------------------------------------------
% 0.27/1.45  # User time                : 0.167 s
% 0.27/1.45  # System time              : 0.005 s
% 0.27/1.45  # Total time               : 0.172 s
% 0.27/1.45  # Maximum resident set size: 9380 pages
% 0.27/23.44  eprover: CPU time limit exceeded, terminating
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: CPU time limit exceeded, terminating
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.49  eprover: No such file or directory
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49  eprover: No such file or directory
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.49  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.50  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50  eprover: No such file or directory
% 0.27/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.51  eprover: No such file or directory
% 0.27/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51  eprover: No such file or directory
% 0.27/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.51  eprover: No such file or directory
% 0.27/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51  eprover: No such file or directory
% 0.27/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.52  eprover: No such file or directory
% 0.27/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.52  eprover: No such file or directory
% 0.27/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.52  eprover: No such file or directory
% 0.27/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.53  eprover: No such file or directory
% 0.27/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.53  eprover: No such file or directory
%------------------------------------------------------------------------------