TSTP Solution File: LCL636+1.005 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LCL636+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 10:12:12 EDT 2022

% Result   : Theorem 0.26s 1.45s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   87 (  11 unt;   0 def)
%            Number of atoms       : 2306 (   0 equ)
%            Maximal formula atoms :  719 (  26 avg)
%            Number of connectives : 3977 (1758   ~;1450   |; 765   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   99 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  11 con; 0-1 aty)
%            Number of variables   :  417 (   0 sgn 344   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | p3(X2) ) ) ) ) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ( ( ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ 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)
                                              | ~ 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) )
                                    & ( p105(X2)
                                      | ~ p106(X2) )
                                    & ( p104(X2)
                                      | ~ p105(X2) )
                                    & ( p103(X2)
                                      | ~ p104(X2) )
                                    & ( p102(X2)
                                      | ~ p103(X2) )
                                    & ( p101(X2)
                                      | ~ p102(X2) )
                                    & ( p100(X2)
                                      | ~ p101(X2) ) ) ) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ( ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p6(X2)
                                              & ~ p106(X2)
                                              & p105(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p6(X2)
                                              & ~ p106(X2)
                                              & p105(X2) ) ) )
                                  | ~ ( ~ p105(X1)
                                      & p104(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p5(X2)
                                              & ~ p105(X2)
                                              & p104(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p5(X2)
                                              & ~ p105(X2)
                                              & p104(X2) ) ) )
                                  | ~ ( ~ p104(X1)
                                      & p103(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p4(X2)
                                              & ~ p104(X2)
                                              & p103(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p4(X2)
                                              & ~ p104(X2)
                                              & p103(X2) ) ) )
                                  | ~ ( ~ p103(X1)
                                      & p102(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p3(X2)
                                              & ~ p103(X2)
                                              & p102(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p3(X2)
                                              & ~ p103(X2)
                                              & p102(X2) ) ) )
                                  | ~ ( ~ p102(X1)
                                      & p101(X1) ) )
                                & ( ( ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( ~ p2(X2)
                                              & ~ p102(X2)
                                              & p101(X2) ) )
                                    & ~ ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ ( p2(X2)
                                              & ~ p102(X2)
                                              & p101(X2) ) ) )
                                  | ~ ( ~ p101(X1)
                                      & p100(X1) ) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p6(X2)
                                          | ~ p105(X2) )
                                      | p6(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p6(X2)
                                          | ~ p105(X2) )
                                      | ~ p6(X1) ) )
                                  | ~ p105(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p5(X2)
                                          | ~ p104(X2) )
                                      | p5(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p5(X2)
                                          | ~ p104(X2) )
                                      | ~ p5(X1) ) )
                                  | ~ p104(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p4(X2)
                                          | ~ p103(X2) )
                                      | p4(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p4(X2)
                                          | ~ p103(X2) )
                                      | ~ p4(X1) ) )
                                  | ~ p103(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p3(X2)
                                          | ~ p102(X2) )
                                      | p3(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p3(X2)
                                          | ~ p102(X2) )
                                      | ~ p3(X1) ) )
                                  | ~ p102(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p2(X2)
                                          | ~ p101(X2) )
                                      | p2(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p2(X2)
                                          | ~ p101(X2) )
                                      | ~ p2(X1) ) )
                                  | ~ p101(X1) )
                                & ( ( ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ~ p1(X2)
                                          | ~ p100(X2) )
                                      | p1(X1) )
                                    & ( ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | p1(X2)
                                          | ~ p100(X2) )
                                      | ~ p1(X1) ) )
                                  | ~ p100(X1) )
                                & ( p105(X1)
                                  | ~ p106(X1) )
                                & ( p104(X1)
                                  | ~ p105(X1) )
                                & ( p103(X1)
                                  | ~ p104(X1) )
                                & ( p102(X1)
                                  | ~ p103(X1) )
                                & ( p101(X1)
                                  | ~ p102(X1) )
                                & ( p100(X1)
                                  | ~ p101(X1) ) ) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,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)
                                      | ~ 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) )
                            & ( p105(X2)
                              | ~ p106(X2) )
                            & ( p104(X2)
                              | ~ p105(X2) )
                            & ( p103(X2)
                              | ~ p104(X2) )
                            & ( p102(X2)
                              | ~ p103(X2) )
                            & ( p101(X2)
                              | ~ p102(X2) )
                            & ( p100(X2)
                              | ~ p101(X2) ) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ( ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p6(X2)
                                      & ~ p106(X2)
                                      & p105(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p6(X2)
                                      & ~ p106(X2)
                                      & p105(X2) ) ) )
                          | ~ ( ~ p105(X1)
                              & p104(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p5(X2)
                                      & ~ p105(X2)
                                      & p104(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p5(X2)
                                      & ~ p105(X2)
                                      & p104(X2) ) ) )
                          | ~ ( ~ p104(X1)
                              & p103(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p4(X2)
                                      & ~ p104(X2)
                                      & p103(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p4(X2)
                                      & ~ p104(X2)
                                      & p103(X2) ) ) )
                          | ~ ( ~ p103(X1)
                              & p102(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p3(X2)
                                      & ~ p103(X2)
                                      & p102(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p3(X2)
                                      & ~ p103(X2)
                                      & p102(X2) ) ) )
                          | ~ ( ~ p102(X1)
                              & p101(X1) ) )
                        & ( ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( ~ p2(X2)
                                      & ~ p102(X2)
                                      & p101(X2) ) )
                            & ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ ( p2(X2)
                                      & ~ p102(X2)
                                      & p101(X2) ) ) )
                          | ~ ( ~ p101(X1)
                              & p100(X1) ) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p6(X2)
                                  | ~ p105(X2) )
                              | p6(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p6(X2)
                                  | ~ p105(X2) )
                              | ~ p6(X1) ) )
                          | ~ p105(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p5(X2)
                                  | ~ p104(X2) )
                              | p5(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p5(X2)
                                  | ~ p104(X2) )
                              | ~ p5(X1) ) )
                          | ~ p104(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p4(X2)
                                  | ~ p103(X2) )
                              | p4(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p4(X2)
                                  | ~ p103(X2) )
                              | ~ p4(X1) ) )
                          | ~ p103(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p3(X2)
                                  | ~ p102(X2) )
                              | p3(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2)
                                  | ~ p102(X2) )
                              | ~ p3(X1) ) )
                          | ~ p102(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p2(X2)
                                  | ~ p101(X2) )
                              | p2(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p2(X2)
                                  | ~ p101(X2) )
                              | ~ p2(X1) ) )
                          | ~ p101(X1) )
                        & ( ( ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ~ p1(X2)
                                  | ~ p100(X2) )
                              | p1(X1) )
                            & ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2)
                                  | ~ p100(X2) )
                              | ~ p1(X1) ) )
                          | ~ p100(X1) )
                        & ( p105(X1)
                          | ~ p106(X1) )
                        & ( p104(X1)
                          | ~ p105(X1) )
                        & ( p103(X1)
                          | ~ p104(X1) )
                        & ( p102(X1)
                          | ~ p103(X1) )
                        & ( p101(X1)
                          | ~ p102(X1) )
                        & ( p100(X1)
                          | ~ p101(X1) ) ) ) )
              & ! [X2] :
                  ( ~ r1(X1,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)
                              | ~ 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) )
                    & ( p105(X2)
                      | ~ p106(X2) )
                    & ( p104(X2)
                      | ~ p105(X2) )
                    & ( p103(X2)
                      | ~ p104(X2) )
                    & ( p102(X2)
                      | ~ p103(X2) )
                    & ( p101(X2)
                      | ~ p102(X2) )
                    & ( p100(X2)
                      | ~ p101(X2) ) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p6(X2)
                            & ~ p106(X2)
                            & p105(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p6(X2)
                            & ~ p106(X2)
                            & p105(X2) ) ) )
                | ~ ( ~ p105(X1)
                    & p104(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p5(X2)
                            & ~ p105(X2)
                            & p104(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p5(X2)
                            & ~ p105(X2)
                            & p104(X2) ) ) )
                | ~ ( ~ p104(X1)
                    & p103(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p4(X2)
                            & ~ p104(X2)
                            & p103(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p4(X2)
                            & ~ p104(X2)
                            & p103(X2) ) ) )
                | ~ ( ~ p103(X1)
                    & p102(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p3(X2)
                            & ~ p103(X2)
                            & p102(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p3(X2)
                            & ~ p103(X2)
                            & p102(X2) ) ) )
                | ~ ( ~ p102(X1)
                    & p101(X1) ) )
              & ( ( ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ~ p2(X2)
                            & ~ p102(X2)
                            & p101(X2) ) )
                  & ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( p2(X2)
                            & ~ p102(X2)
                            & p101(X2) ) ) )
                | ~ ( ~ p101(X1)
                    & p100(X1) ) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p6(X2)
                        | ~ p105(X2) )
                    | p6(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p6(X2)
                        | ~ p105(X2) )
                    | ~ p6(X1) ) )
                | ~ p105(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p5(X2)
                        | ~ p104(X2) )
                    | p5(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p5(X2)
                        | ~ p104(X2) )
                    | ~ p5(X1) ) )
                | ~ p104(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p4(X2)
                        | ~ p103(X2) )
                    | p4(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p4(X2)
                        | ~ p103(X2) )
                    | ~ p4(X1) ) )
                | ~ p103(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p3(X2)
                        | ~ p102(X2) )
                    | p3(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p3(X2)
                        | ~ p102(X2) )
                    | ~ p3(X1) ) )
                | ~ p102(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p2(X2)
                        | ~ p101(X2) )
                    | p2(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p2(X2)
                        | ~ p101(X2) )
                    | ~ p2(X1) ) )
                | ~ p101(X1) )
              & ( ( ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p1(X2)
                        | ~ p100(X2) )
                    | p1(X1) )
                  & ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2)
                        | ~ p100(X2) )
                    | ~ p1(X1) ) )
                | ~ p100(X1) )
              & ( p105(X1)
                | ~ p106(X1) )
              & ( p104(X1)
                | ~ p105(X1) )
              & ( p103(X1)
                | ~ p104(X1) )
              & ( p102(X1)
                | ~ p103(X1) )
              & ( p101(X1)
                | ~ p102(X1) )
              & ( p100(X1)
                | ~ p101(X1) )
              & ~ p101(X1)
              & p100(X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',main) ).

fof(c_0_1,plain,
    ! [X2] :
      ( epred1_1(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)
                  | ~ 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) )
        & ( 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_2,plain,
    ! [X1] :
      ( epred2_1(X1)
    <=> ( ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) ) )
          | ~ ( ~ p105(X1)
              & p104(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) ) )
          | ~ ( ~ p104(X1)
              & p103(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) ) )
          | ~ ( ~ p103(X1)
              & p102(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) ) )
          | ~ ( ~ p102(X1)
              & p101(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) ) )
          | ~ ( ~ p101(X1)
              & p100(X1) ) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p6(X2)
                  | ~ p105(X2) )
              | p6(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2)
                  | ~ p105(X2) )
              | ~ p6(X1) ) )
          | ~ p105(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p5(X2)
                  | ~ p104(X2) )
              | p5(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p5(X2)
                  | ~ p104(X2) )
              | ~ p5(X1) ) )
          | ~ p104(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2)
                  | ~ p103(X2) )
              | p4(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2)
                  | ~ p103(X2) )
              | ~ p4(X1) ) )
          | ~ p103(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p3(X2)
                  | ~ p102(X2) )
              | p3(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p3(X2)
                  | ~ p102(X2) )
              | ~ p3(X1) ) )
          | ~ p102(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p2(X2)
                  | ~ p101(X2) )
              | p2(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2)
                  | ~ p101(X2) )
              | ~ p2(X1) ) )
          | ~ p101(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p1(X2)
                  | ~ p100(X2) )
              | p1(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2)
                  | ~ p100(X2) )
              | ~ p1(X1) ) )
          | ~ p100(X1) )
        & ( p105(X1)
          | ~ p106(X1) )
        & ( p104(X1)
          | ~ p105(X1) )
        & ( p103(X1)
          | ~ p104(X1) )
        & ( p102(X1)
          | ~ p103(X1) )
        & ( p101(X1)
          | ~ p102(X1) )
        & ( p100(X1)
          | ~ p101(X1) ) ) ),
    introduced(definition) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p3(X2) ) ) ) ) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | epred1_1(X2) ) ) ) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | epred2_1(X1) ) ) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | epred1_1(X2) ) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | epred2_1(X1) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | epred1_1(X2) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p6(X2)
                              & ~ p106(X2)
                              & p105(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p6(X2)
                              & ~ p106(X2)
                              & p105(X2) ) ) )
                  | ~ ( ~ p105(X1)
                      & p104(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p5(X2)
                              & ~ p105(X2)
                              & p104(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p5(X2)
                              & ~ p105(X2)
                              & p104(X2) ) ) )
                  | ~ ( ~ p104(X1)
                      & p103(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p4(X2)
                              & ~ p104(X2)
                              & p103(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p4(X2)
                              & ~ p104(X2)
                              & p103(X2) ) ) )
                  | ~ ( ~ p103(X1)
                      & p102(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p3(X2)
                              & ~ p103(X2)
                              & p102(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p3(X2)
                              & ~ p103(X2)
                              & p102(X2) ) ) )
                  | ~ ( ~ p102(X1)
                      & p101(X1) ) )
                & ( ( ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( ~ p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) )
                    & ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ ( p2(X2)
                              & ~ p102(X2)
                              & p101(X2) ) ) )
                  | ~ ( ~ p101(X1)
                      & p100(X1) ) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p6(X2)
                          | ~ p105(X2) )
                      | p6(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p6(X2)
                          | ~ p105(X2) )
                      | ~ p6(X1) ) )
                  | ~ p105(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p5(X2)
                          | ~ p104(X2) )
                      | p5(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p5(X2)
                          | ~ p104(X2) )
                      | ~ p5(X1) ) )
                  | ~ p104(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p4(X2)
                          | ~ p103(X2) )
                      | p4(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p4(X2)
                          | ~ p103(X2) )
                      | ~ p4(X1) ) )
                  | ~ p103(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p3(X2)
                          | ~ p102(X2) )
                      | p3(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p3(X2)
                          | ~ p102(X2) )
                      | ~ p3(X1) ) )
                  | ~ p102(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p2(X2)
                          | ~ p101(X2) )
                      | p2(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p2(X2)
                          | ~ p101(X2) )
                      | ~ p2(X1) ) )
                  | ~ p101(X1) )
                & ( ( ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2)
                          | ~ p100(X2) )
                      | p1(X1) )
                    & ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2)
                          | ~ p100(X2) )
                      | ~ p1(X1) ) )
                  | ~ p100(X1) )
                & ( p105(X1)
                  | ~ p106(X1) )
                & ( p104(X1)
                  | ~ p105(X1) )
                & ( p103(X1)
                  | ~ p104(X1) )
                & ( p102(X1)
                  | ~ p103(X1) )
                & ( p101(X1)
                  | ~ p102(X1) )
                & ( p100(X1)
                  | ~ p101(X1) )
                & ~ p101(X1)
                & p100(X1) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]),c_0_1]),c_0_2]),c_0_1]),c_0_2]),c_0_1]) ).

fof(c_0_4,negated_conjecture,
    ! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
      ( ( ~ r1(esk1_0,X4)
        | ~ r1(X4,X5)
        | ~ r1(X5,X6)
        | ~ r1(X6,X7)
        | ~ r1(X7,X8)
        | p3(X8) )
      & ( ~ r1(esk1_0,X9)
        | ~ r1(X9,X10)
        | ~ r1(X10,X11)
        | ~ r1(X11,X12)
        | ~ r1(X12,X13)
        | epred1_1(X13) )
      & ( ~ r1(esk1_0,X14)
        | ~ r1(X14,X15)
        | ~ r1(X15,X16)
        | ~ r1(X16,X17)
        | epred2_1(X17) )
      & ( ~ r1(esk1_0,X18)
        | ~ r1(X18,X19)
        | ~ r1(X19,X20)
        | epred1_1(X20) )
      & ( ~ r1(esk1_0,X21)
        | ~ r1(X21,X22)
        | epred2_1(X22) )
      & ( ~ r1(esk1_0,X23)
        | epred1_1(X23) )
      & ( r1(esk1_0,esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ p6(esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ p106(esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( p105(esk2_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( r1(esk1_0,esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( p6(esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ p106(esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( p105(esk3_0)
        | p105(esk1_0)
        | ~ p104(esk1_0) )
      & ( r1(esk1_0,esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ p5(esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ p105(esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( p104(esk4_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( r1(esk1_0,esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( p5(esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ p105(esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( p104(esk5_0)
        | p104(esk1_0)
        | ~ p103(esk1_0) )
      & ( r1(esk1_0,esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ p4(esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ p104(esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( p103(esk6_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( r1(esk1_0,esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( p4(esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ p104(esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( p103(esk7_0)
        | p103(esk1_0)
        | ~ p102(esk1_0) )
      & ( r1(esk1_0,esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ p3(esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ p103(esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( p102(esk8_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( r1(esk1_0,esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( p3(esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ p103(esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( p102(esk9_0)
        | p102(esk1_0)
        | ~ p101(esk1_0) )
      & ( r1(esk1_0,esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p2(esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p102(esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk10_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( r1(esk1_0,esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p2(esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ p102(esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( p101(esk11_0)
        | p101(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ r1(esk1_0,X34)
        | ~ p6(X34)
        | ~ p105(X34)
        | p6(esk1_0)
        | ~ p105(esk1_0) )
      & ( ~ r1(esk1_0,X35)
        | p6(X35)
        | ~ p105(X35)
        | ~ p6(esk1_0)
        | ~ p105(esk1_0) )
      & ( ~ r1(esk1_0,X36)
        | ~ p5(X36)
        | ~ p104(X36)
        | p5(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ r1(esk1_0,X37)
        | p5(X37)
        | ~ p104(X37)
        | ~ p5(esk1_0)
        | ~ p104(esk1_0) )
      & ( ~ r1(esk1_0,X38)
        | ~ p4(X38)
        | ~ p103(X38)
        | p4(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ r1(esk1_0,X39)
        | p4(X39)
        | ~ p103(X39)
        | ~ p4(esk1_0)
        | ~ p103(esk1_0) )
      & ( ~ r1(esk1_0,X40)
        | ~ p3(X40)
        | ~ p102(X40)
        | p3(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ r1(esk1_0,X41)
        | p3(X41)
        | ~ p102(X41)
        | ~ p3(esk1_0)
        | ~ p102(esk1_0) )
      & ( ~ r1(esk1_0,X42)
        | ~ p2(X42)
        | ~ p101(X42)
        | p2(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ r1(esk1_0,X43)
        | p2(X43)
        | ~ p101(X43)
        | ~ p2(esk1_0)
        | ~ p101(esk1_0) )
      & ( ~ r1(esk1_0,X44)
        | ~ p1(X44)
        | ~ p100(X44)
        | p1(esk1_0)
        | ~ p100(esk1_0) )
      & ( ~ r1(esk1_0,X45)
        | p1(X45)
        | ~ p100(X45)
        | ~ p1(esk1_0)
        | ~ p100(esk1_0) )
      & ( p105(esk1_0)
        | ~ p106(esk1_0) )
      & ( p104(esk1_0)
        | ~ p105(esk1_0) )
      & ( p103(esk1_0)
        | ~ p104(esk1_0) )
      & ( p102(esk1_0)
        | ~ p103(esk1_0) )
      & ( p101(esk1_0)
        | ~ p102(esk1_0) )
      & ( p100(esk1_0)
        | ~ p101(esk1_0) )
      & ~ p101(esk1_0)
      & p100(esk1_0) ),
    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_3])])])])])])])]) ).

fof(c_0_5,plain,
    ! [X2] :
      ( epred1_1(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)
                  | ~ 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) )
        & ( 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_1]) ).

cnf(c_0_6,negated_conjecture,
    ( p101(esk1_0)
    | r1(esk1_0,esk11_0)
    | ~ p100(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_9,plain,
    ! [X3,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
      ( ( 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,X14)
        | ~ p6(X14)
        | ~ p105(X14)
        | p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X15)
        | p6(X15)
        | ~ p105(X15)
        | ~ p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X16)
        | ~ p5(X16)
        | ~ p104(X16)
        | p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X17)
        | p5(X17)
        | ~ p104(X17)
        | ~ p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X18)
        | ~ p4(X18)
        | ~ p103(X18)
        | p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X19)
        | p4(X19)
        | ~ p103(X19)
        | ~ p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X20)
        | ~ p3(X20)
        | ~ p102(X20)
        | p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X21)
        | p3(X21)
        | ~ p102(X21)
        | ~ p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X22)
        | ~ p2(X22)
        | ~ p101(X22)
        | p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X23)
        | p2(X23)
        | ~ p101(X23)
        | ~ p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X24)
        | ~ p1(X24)
        | ~ p100(X24)
        | p1(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X25)
        | p1(X25)
        | ~ p100(X25)
        | ~ p1(X3)
        | ~ p100(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_5])])])])])])])]) ).

cnf(c_0_10,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    r1(esk1_0,esk11_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( p101(esk1_0)
    | p101(esk11_0)
    | ~ p100(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,negated_conjecture,
    ( p101(esk1_0)
    | ~ p100(esk1_0)
    | ~ p102(esk11_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_14,plain,
    ! [X1] :
      ( epred2_1(X1)
     => ( ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p6(X2)
                      & ~ p106(X2)
                      & p105(X2) ) ) )
          | ~ ( ~ p105(X1)
              & p104(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p5(X2)
                      & ~ p105(X2)
                      & p104(X2) ) ) )
          | ~ ( ~ p104(X1)
              & p103(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p4(X2)
                      & ~ p104(X2)
                      & p103(X2) ) ) )
          | ~ ( ~ p103(X1)
              & p102(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p3(X2)
                      & ~ p103(X2)
                      & p102(X2) ) ) )
          | ~ ( ~ p102(X1)
              & p101(X1) ) )
        & ( ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) )
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( p2(X2)
                      & ~ p102(X2)
                      & p101(X2) ) ) )
          | ~ ( ~ p101(X1)
              & p100(X1) ) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p6(X2)
                  | ~ p105(X2) )
              | p6(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2)
                  | ~ p105(X2) )
              | ~ p6(X1) ) )
          | ~ p105(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p5(X2)
                  | ~ p104(X2) )
              | p5(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p5(X2)
                  | ~ p104(X2) )
              | ~ p5(X1) ) )
          | ~ p104(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2)
                  | ~ p103(X2) )
              | p4(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2)
                  | ~ p103(X2) )
              | ~ p4(X1) ) )
          | ~ p103(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p3(X2)
                  | ~ p102(X2) )
              | p3(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p3(X2)
                  | ~ p102(X2) )
              | ~ p3(X1) ) )
          | ~ p102(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p2(X2)
                  | ~ p101(X2) )
              | p2(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2)
                  | ~ p101(X2) )
              | ~ p2(X1) ) )
          | ~ p101(X1) )
        & ( ( ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p1(X2)
                  | ~ p100(X2) )
              | p1(X1) )
            & ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2)
                  | ~ p100(X2) )
              | ~ p1(X1) ) )
          | ~ p100(X1) )
        & ( p105(X1)
          | ~ p106(X1) )
        & ( p104(X1)
          | ~ p105(X1) )
        & ( p103(X1)
          | ~ p104(X1) )
        & ( p102(X1)
          | ~ p103(X1) )
        & ( p101(X1)
          | ~ p102(X1) )
        & ( p100(X1)
          | ~ p101(X1) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,plain,
    ( p102(X1)
    | r1(X1,esk18_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    epred1_1(esk11_0),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    p101(esk11_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_7])]),c_0_8]) ).

cnf(c_0_19,negated_conjecture,
    ~ p102(esk11_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_7])]),c_0_8]) ).

cnf(c_0_20,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk1_0,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_21,plain,
    ! [X3,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
      ( ( r1(X3,esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( ~ p6(esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( ~ p106(esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( p105(esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( p6(esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( ~ p106(esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( p105(esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( ~ p5(esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( ~ p105(esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( p104(esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( p5(esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( ~ p105(esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( p104(esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( ~ p4(esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( ~ p104(esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( p103(esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( p4(esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( ~ p104(esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( p103(esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( ~ p3(esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( ~ p103(esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( p102(esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( p3(esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( ~ p103(esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( p102(esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( ~ p2(esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( ~ p102(esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( p101(esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( r1(X3,esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( p2(esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( ~ p102(esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( p101(esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X14)
        | ~ p6(X14)
        | ~ p105(X14)
        | p6(X3)
        | ~ p105(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X15)
        | p6(X15)
        | ~ p105(X15)
        | ~ p6(X3)
        | ~ p105(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X16)
        | ~ p5(X16)
        | ~ p104(X16)
        | p5(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X17)
        | p5(X17)
        | ~ p104(X17)
        | ~ p5(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X18)
        | ~ p4(X18)
        | ~ p103(X18)
        | p4(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X19)
        | p4(X19)
        | ~ p103(X19)
        | ~ p4(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X20)
        | ~ p3(X20)
        | ~ p102(X20)
        | p3(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X21)
        | p3(X21)
        | ~ p102(X21)
        | ~ p3(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X22)
        | ~ p2(X22)
        | ~ p101(X22)
        | p2(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X23)
        | p2(X23)
        | ~ p101(X23)
        | ~ p2(X3)
        | ~ p101(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X24)
        | ~ p1(X24)
        | ~ p100(X24)
        | p1(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( ~ r1(X3,X25)
        | p1(X25)
        | ~ p100(X25)
        | ~ p1(X3)
        | ~ p100(X3)
        | ~ epred2_1(X3) )
      & ( p105(X3)
        | ~ p106(X3)
        | ~ epred2_1(X3) )
      & ( p104(X3)
        | ~ p105(X3)
        | ~ epred2_1(X3) )
      & ( p103(X3)
        | ~ p104(X3)
        | ~ epred2_1(X3) )
      & ( p102(X3)
        | ~ p103(X3)
        | ~ epred2_1(X3) )
      & ( p101(X3)
        | ~ p102(X3)
        | ~ epred2_1(X3) )
      & ( p100(X3)
        | ~ p101(X3)
        | ~ epred2_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_14])])])])])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_11]) ).

cnf(c_0_23,plain,
    r1(esk11_0,esk18_1(esk11_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]) ).

cnf(c_0_24,plain,
    ( p102(X1)
    | p102(esk18_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_25,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk1_0,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_11]) ).

cnf(c_0_27,plain,
    ( p103(X1)
    | r1(X1,esk26_1(X1))
    | ~ epred2_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    epred2_1(esk18_1(esk11_0)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    p102(esk18_1(esk11_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_17]),c_0_18])]),c_0_19]) ).

cnf(c_0_30,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_11]) ).

cnf(c_0_32,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk18_1(esk11_0),X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_33,plain,
    ( p103(esk18_1(esk11_0))
    | r1(esk18_1(esk11_0),esk26_1(esk18_1(esk11_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_34,plain,
    ( p103(X1)
    | p103(esk26_1(X1))
    | ~ epred2_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_35,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_11]) ).

cnf(c_0_36,negated_conjecture,
    ( epred2_1(X1)
    | ~ r1(esk18_1(esk11_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_23]) ).

cnf(c_0_37,plain,
    ( p104(X1)
    | r1(X1,esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_38,negated_conjecture,
    ( epred1_1(esk26_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,plain,
    ( p103(esk26_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_29])]) ).

cnf(c_0_40,plain,
    ( epred1_1(X1)
    | ~ r1(esk18_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_23]) ).

cnf(c_0_41,negated_conjecture,
    ( epred2_1(X1)
    | p103(esk18_1(esk11_0))
    | ~ r1(esk26_1(esk18_1(esk11_0)),X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_33]) ).

cnf(c_0_42,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | r1(esk26_1(esk18_1(esk11_0)),esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_43,plain,
    ( p104(X1)
    | p104(esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_44,negated_conjecture,
    ( p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_45,plain,
    ( epred1_1(X1)
    | p103(esk18_1(esk11_0))
    | ~ r1(esk26_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_33]) ).

cnf(c_0_46,plain,
    ( p105(X1)
    | r1(X1,esk22_1(X1))
    | ~ epred2_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_47,negated_conjecture,
    ( epred2_1(esk14_1(esk26_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk14_1(esk26_1(esk18_1(esk11_0))))
    | p104(esk26_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    ( p3(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_11]) ).

cnf(c_0_50,plain,
    ( epred1_1(X1)
    | p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | ~ r1(esk14_1(esk26_1(esk18_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_51,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0))))
    | r1(esk14_1(esk26_1(esk18_1(esk11_0))),esk22_1(esk14_1(esk26_1(esk18_1(esk11_0))))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_52,plain,
    ( p105(X1)
    | p105(esk22_1(X1))
    | ~ epred2_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_53,plain,
    ( p3(X1)
    | ~ r1(esk18_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_23]) ).

cnf(c_0_54,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_55,plain,
    ( epred1_1(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_48]) ).

cnf(c_0_57,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_58,plain,
    ( p103(X1)
    | ~ epred2_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_59,plain,
    ( p103(esk18_1(esk11_0))
    | p3(X1)
    | ~ r1(esk26_1(esk18_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_33]) ).

cnf(c_0_60,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_61,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_62,plain,
    ( p3(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p102(X2)
    | ~ p3(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_63,plain,
    ( p102(esk26_1(esk18_1(esk11_0)))
    | p103(esk18_1(esk11_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_38]),c_0_39]) ).

cnf(c_0_64,plain,
    ( p102(X1)
    | ~ epred2_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_65,plain,
    ( p103(esk14_1(esk26_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_48]) ).

cnf(c_0_66,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p3(X1)
    | ~ r1(esk14_1(esk26_1(esk18_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_42]) ).

cnf(c_0_67,plain,
    ( p103(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_55]),c_0_61]) ).

cnf(c_0_68,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p3(esk26_1(esk18_1(esk11_0)))
    | ~ p102(esk14_1(esk26_1(esk18_1(esk11_0))))
    | ~ p3(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_42]),c_0_63]),c_0_38]) ).

cnf(c_0_69,plain,
    ( p102(esk14_1(esk26_1(esk18_1(esk11_0))))
    | p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_47]),c_0_65]) ).

cnf(c_0_70,plain,
    ( p3(X1)
    | ~ epred2_1(X1)
    | ~ p102(X1)
    | ~ p102(X2)
    | ~ p3(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_71,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0))))
    | p3(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0))))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_51]) ).

cnf(c_0_72,plain,
    ( p102(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
    | p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_55]),c_0_67]) ).

cnf(c_0_73,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p3(esk26_1(esk18_1(esk11_0)))
    | ~ p3(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_74,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0))))
    | p3(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_51]),c_0_71]),c_0_69]),c_0_72]),c_0_47]) ).

cnf(c_0_75,plain,
    ( p103(esk18_1(esk11_0))
    | p3(esk18_1(esk11_0))
    | ~ p102(esk26_1(esk18_1(esk11_0)))
    | ~ p3(esk26_1(esk18_1(esk11_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_33]),c_0_28]),c_0_29])]) ).

cnf(c_0_76,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p105(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_77,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p105(esk14_1(esk26_1(esk18_1(esk11_0))))
    | p3(esk26_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,plain,
    ( p103(esk18_1(esk11_0))
    | p3(esk18_1(esk11_0))
    | ~ p3(esk26_1(esk18_1(esk11_0))) ),
    inference(spm,[status(thm)],[c_0_75,c_0_63]) ).

cnf(c_0_79,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p3(esk26_1(esk18_1(esk11_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_39]),c_0_38]) ).

cnf(c_0_80,plain,
    ( p103(X1)
    | ~ epred2_1(X1)
    | ~ p102(X1)
    | ~ p104(esk26_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_81,plain,
    ( p103(esk18_1(esk11_0))
    | p104(esk26_1(esk18_1(esk11_0)))
    | p3(esk18_1(esk11_0)) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_82,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p3(esk18_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_83,plain,
    ( p103(esk18_1(esk11_0))
    | p3(esk18_1(esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_28]),c_0_29])]) ).

cnf(c_0_84,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p103(esk18_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_85,plain,
    p103(esk18_1(esk11_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_17]),c_0_18])]),c_0_19]) ).

cnf(c_0_86,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_17]),c_0_18])]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : LCL636+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.14  % Command  : run_ET %s %d
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jul  2 21:29:35 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.26/1.45  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.26/1.45  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.26/1.45  # Preprocessing time       : 0.024 s
% 0.26/1.45  
% 0.26/1.45  # Proof found!
% 0.26/1.45  # SZS status Theorem
% 0.26/1.45  # SZS output start CNFRefutation
% See solution above
% 0.26/1.45  # Proof object total steps             : 87
% 0.26/1.45  # Proof object clause steps            : 78
% 0.26/1.45  # Proof object formula steps           : 9
% 0.26/1.45  # Proof object conjectures             : 29
% 0.26/1.45  # Proof object clause conjectures      : 26
% 0.26/1.45  # Proof object formula conjectures     : 3
% 0.26/1.45  # Proof object initial clauses used    : 30
% 0.26/1.45  # Proof object initial formulas used   : 1
% 0.26/1.45  # Proof object generating inferences   : 45
% 0.26/1.45  # Proof object simplifying inferences  : 51
% 0.26/1.45  # Training examples: 0 positive, 0 negative
% 0.26/1.45  # Parsed axioms                        : 1
% 0.26/1.45  # Removed by relevancy pruning/SinE    : 0
% 0.26/1.45  # Initial clauses                      : 182
% 0.26/1.45  # Removed in clause preprocessing      : 0
% 0.26/1.45  # Initial clauses in saturation        : 182
% 0.26/1.45  # Processed clauses                    : 1899
% 0.26/1.45  # ...of these trivial                  : 23
% 0.26/1.45  # ...subsumed                          : 895
% 0.26/1.45  # ...remaining for further processing  : 981
% 0.26/1.45  # Other redundant clauses eliminated   : 0
% 0.26/1.45  # Clauses deleted for lack of memory   : 0
% 0.26/1.45  # Backward-subsumed                    : 42
% 0.26/1.45  # Backward-rewritten                   : 180
% 0.26/1.45  # Generated clauses                    : 3614
% 0.26/1.45  # ...of the previous two non-trivial   : 3344
% 0.26/1.45  # Contextual simplify-reflections      : 2484
% 0.26/1.45  # Paramodulations                      : 3614
% 0.26/1.45  # Factorizations                       : 0
% 0.26/1.45  # Equation resolutions                 : 0
% 0.26/1.45  # Current number of processed clauses  : 759
% 0.26/1.45  #    Positive orientable unit clauses  : 35
% 0.26/1.45  #    Positive unorientable unit clauses: 0
% 0.26/1.45  #    Negative unit clauses             : 11
% 0.26/1.45  #    Non-unit-clauses                  : 713
% 0.26/1.45  # Current number of unprocessed clauses: 1229
% 0.26/1.45  # ...number of literals in the above   : 8170
% 0.26/1.45  # Current number of archived formulas  : 0
% 0.26/1.45  # Current number of archived clauses   : 222
% 0.26/1.45  # Clause-clause subsumption calls (NU) : 437999
% 0.26/1.45  # Rec. Clause-clause subsumption calls : 83965
% 0.26/1.45  # Non-unit clause-clause subsumptions  : 3293
% 0.26/1.45  # Unit Clause-clause subsumption calls : 1818
% 0.26/1.45  # Rewrite failures with RHS unbound    : 0
% 0.26/1.45  # BW rewrite match attempts            : 9
% 0.26/1.45  # BW rewrite match successes           : 9
% 0.26/1.45  # Condensation attempts                : 0
% 0.26/1.45  # Condensation successes               : 0
% 0.26/1.45  # Termbank termtop insertions          : 106286
% 0.26/1.45  
% 0.26/1.45  # -------------------------------------------------
% 0.26/1.45  # User time                : 0.252 s
% 0.26/1.45  # System time              : 0.002 s
% 0.26/1.45  # Total time               : 0.254 s
% 0.26/1.45  # Maximum resident set size: 6908 pages
% 0.30/23.44  eprover: CPU time limit exceeded, terminating
% 0.30/23.44  eprover: CPU time limit exceeded, terminating
% 0.30/23.45  eprover: CPU time limit exceeded, terminating
% 0.30/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.45  eprover: No such file or directory
% 0.30/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.45  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52  eprover: No such file or directory
%------------------------------------------------------------------------------