TSTP Solution File: LCL674+1.010 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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 10:16:31 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   39 (   7 unt;   0 def)
%            Number of atoms       : 1271 (   0 equ)
%            Maximal formula atoms :  485 (  32 avg)
%            Number of connectives : 2226 ( 994   ~; 803   |; 426   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  139 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   1 con; 0-1 aty)
%            Number of variables   :  197 (   0 sgn 165   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p5(X2) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,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)
                              | ~ 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) )
                    & ( 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)
                  | ~ ( ~ 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)
                  | ~ 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) )
        & ( 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)
                  | ~ ( ~ 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)
                  | ~ 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) )
        & ( 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)
                  | p5(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,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
      ( ( r1(X3,esk2_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p11(esk2_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p111(esk2_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p110(esk2_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk3_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p11(esk3_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p111(esk3_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p110(esk3_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk4_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p10(esk4_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p110(esk4_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p109(esk4_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk5_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p10(esk5_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p110(esk5_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p109(esk5_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk6_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p9(esk6_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p109(esk6_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p108(esk6_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk7_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p9(esk7_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p109(esk7_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p108(esk7_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk8_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p8(esk8_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p108(esk8_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p107(esk8_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk9_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p8(esk9_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p108(esk9_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p107(esk9_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk10_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p7(esk10_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p107(esk10_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p106(esk10_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk11_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p7(esk11_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p107(esk11_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p106(esk11_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk12_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p6(esk12_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p106(esk12_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p105(esk12_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk13_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p6(esk13_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p106(esk13_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p105(esk13_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk14_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p5(esk14_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk14_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p104(esk14_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk15_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p5(esk15_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk15_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p104(esk15_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk16_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p4(esk16_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk16_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p103(esk16_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk17_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p4(esk17_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk17_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p103(esk17_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk18_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p3(esk18_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk18_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p102(esk18_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk19_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p3(esk19_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk19_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p102(esk19_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk20_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p2(esk20_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk20_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p101(esk20_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk21_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p2(esk21_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk21_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p101(esk21_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X24)
        | ~ p11(X24)
        | ~ p110(X24)
        | p11(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X25)
        | p11(X25)
        | ~ p110(X25)
        | ~ p11(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X26)
        | ~ p10(X26)
        | ~ p109(X26)
        | p10(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X27)
        | p10(X27)
        | ~ p109(X27)
        | ~ p10(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X28)
        | ~ p9(X28)
        | ~ p108(X28)
        | p9(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X29)
        | p9(X29)
        | ~ p108(X29)
        | ~ p9(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X30)
        | ~ p8(X30)
        | ~ p107(X30)
        | p8(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X31)
        | p8(X31)
        | ~ p107(X31)
        | ~ p8(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X32)
        | ~ p7(X32)
        | ~ p106(X32)
        | p7(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X33)
        | p7(X33)
        | ~ p106(X33)
        | ~ p7(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X34)
        | ~ p6(X34)
        | ~ p105(X34)
        | p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X35)
        | p6(X35)
        | ~ p105(X35)
        | ~ p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X36)
        | ~ p5(X36)
        | ~ p104(X36)
        | p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X37)
        | p5(X37)
        | ~ p104(X37)
        | ~ p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X38)
        | ~ p4(X38)
        | ~ p103(X38)
        | p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X39)
        | p4(X39)
        | ~ p103(X39)
        | ~ p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X40)
        | ~ p3(X40)
        | ~ p102(X40)
        | p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X41)
        | p3(X41)
        | ~ p102(X41)
        | ~ p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X42)
        | ~ p2(X42)
        | ~ p101(X42)
        | p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X43)
        | p2(X43)
        | ~ p101(X43)
        | ~ p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X44)
        | ~ p1(X44)
        | ~ p100(X44)
        | p1(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X45)
        | p1(X45)
        | ~ p100(X45)
        | ~ p1(X3)
        | ~ p100(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)
        | p5(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,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p5(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( p5(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,
    ( p104(X1)
    | r1(X1,esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ r1(esk1_0,esk14_1(X1)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( p104(X1)
    | r1(X2,esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(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,
    ( p104(X1)
    | ~ p103(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,
    ( p103(X1)
    | p103(esk16_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p104(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,plain,
    ( p103(X1)
    | r1(X1,esk16_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ r1(esk1_0,esk16_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_21,plain,
    ( p103(X1)
    | r1(X2,esk16_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_19]) ).

cnf(c_0_22,plain,
    ( p103(X1)
    | ~ p102(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,
    ( p102(X1)
    | p102(esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p103(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,plain,
    ( p102(X1)
    | r1(X1,esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_26,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ r1(esk1_0,esk19_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_27,plain,
    ( p102(X1)
    | r1(X2,esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_25]) ).

fof(c_0_28,plain,
    ! [X2] : r1(X2,X2),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_29,plain,
    ( p102(X1)
    | ~ p101(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_30,plain,
    ( p101(X1)
    | p101(esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_31,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p102(esk21_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ r1(esk1_0,esk21_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_34,plain,
    ( p101(X1)
    | r1(X1,esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_35,negated_conjecture,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_15,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]),c_0_37]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 02:26:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.020 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 39
% 0.22/1.40  # Proof object clause steps            : 29
% 0.22/1.40  # Proof object formula steps           : 10
% 0.22/1.40  # Proof object conjectures             : 10
% 0.22/1.40  # Proof object clause conjectures      : 7
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 17
% 0.22/1.40  # Proof object initial formulas used   : 3
% 0.22/1.40  # Proof object generating inferences   : 12
% 0.22/1.40  # Proof object simplifying inferences  : 10
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 3
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 119
% 0.22/1.40  # Removed in clause preprocessing      : 0
% 0.22/1.40  # Initial clauses in saturation        : 119
% 0.22/1.40  # Processed clauses                    : 300
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 25
% 0.22/1.40  # ...remaining for further processing  : 275
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 2
% 0.22/1.40  # Backward-rewritten                   : 0
% 0.22/1.40  # Generated clauses                    : 1154
% 0.22/1.40  # ...of the previous two non-trivial   : 1074
% 0.22/1.40  # Contextual simplify-reflections      : 31
% 0.22/1.40  # Paramodulations                      : 1154
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 273
% 0.22/1.40  #    Positive orientable unit clauses  : 5
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 9
% 0.22/1.40  #    Non-unit-clauses                  : 259
% 0.22/1.40  # Current number of unprocessed clauses: 893
% 0.22/1.40  # ...number of literals in the above   : 7129
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 2
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 10479
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 645
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 38
% 0.22/1.40  # Unit Clause-clause subsumption calls : 679
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 0
% 0.22/1.40  # BW rewrite match successes           : 0
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 31933
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.065 s
% 0.22/1.40  # System time              : 0.002 s
% 0.22/1.40  # Total time               : 0.067 s
% 0.22/1.40  # Maximum resident set size: 4992 pages
% 0.22/23.43  eprover: CPU time limit exceeded, terminating
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.49  eprover: No such file or directory
% 0.22/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------