↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL682+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:16:09 PM UTC 2026

% Result   : Theorem 121.85s 18.58s
% Output   : CNFRefutation 121.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   45 (   8 unt;   0 def)
%            Number of atoms       : 1886 (   0 equ)
%            Maximal formula atoms :  612 (  41 avg)
%            Number of connectives : 3668 (1827   ~;1504   |; 336   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  316 (  16 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   32 (  31 usr;   1 prp; 0-2 aty)
%            Number of functors    :   73 (  73 usr;   9 con; 0-4 aty)
%            Number of variables   :  984 (   0 sgn 908   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ! [X1] :
                  ( p11(X1)
                  | ~ r1(X2,X1) )
              | ~ r1(X1,X2) )
          | ! [X2] :
              ( ! [X1] :
                  ( p12(X1)
                  | ~ r1(X2,X1) )
              | ~ r1(X1,X2) )
          | ! [X2] :
              ( ! [X1] :
                  ( p13(X1)
                  | ~ r1(X2,X1) )
              | ~ r1(X1,X2) )
          | ! [X2] :
              ( ! [X1] :
                  ( p15(X1)
                  | ~ r1(X2,X1) )
              | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p11(X2)
                    & ! [X1] :
                        ( p23(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p11(X2)
                    & ! [X1] :
                        ( p25(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p12(X2)
                    & ! [X1] :
                        ( p21(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p13(X2)
                    & ! [X1] :
                        ( p23(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p13(X2)
                    & ! [X1] :
                        ( p25(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p15(X2)
                    & ! [X1] :
                        ( p23(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p15(X2)
                    & ! [X1] :
                        ( p25(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p21(X1)
                        & ! [X2] :
                            ( p31(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p21(X1)
                        & ! [X2] :
                            ( p33(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p21(X1)
                        & ! [X2] :
                            ( p34(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p21(X1)
                        & ! [X2] :
                            ( p35(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p14(X2)
                    & ! [X1] :
                        ( p22(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p16(X2)
                    & ! [X1] :
                        ( p22(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p23(X1)
                        & ! [X2] :
                            ( p31(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p23(X1)
                        & ! [X2] :
                            ( p33(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p23(X1)
                        & ! [X2] :
                            ( p35(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p14(X2)
                    & ! [X1] :
                        ( p24(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p16(X2)
                    & ! [X1] :
                        ( p24(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p25(X1)
                        & ! [X2] :
                            ( p31(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p25(X1)
                        & ! [X2] :
                            ( p33(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p25(X1)
                        & ! [X2] :
                            ( p35(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p14(X2)
                    & ! [X1] :
                        ( p26(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ p16(X2)
                    & ! [X1] :
                        ( p26(X1)
                        | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p31(X2)
                            & ! [X1] :
                                ( p43(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p31(X2)
                            & ! [X1] :
                                ( p45(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p22(X1)
                        & ! [X2] :
                            ( p32(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p24(X1)
                        & ! [X2] :
                            ( p32(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p26(X1)
                        & ! [X2] :
                            ( p32(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p33(X2)
                            & ! [X1] :
                                ( p43(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p33(X2)
                            & ! [X1] :
                                ( p45(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p34(X2)
                            & ! [X1] :
                                ( p41(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p22(X1)
                        & ! [X2] :
                            ( p34(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p24(X1)
                        & ! [X2] :
                            ( p34(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p26(X1)
                        & ! [X2] :
                            ( p34(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p35(X2)
                            & ! [X1] :
                                ( p43(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p35(X2)
                            & ! [X1] :
                                ( p45(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p22(X1)
                        & ! [X2] :
                            ( p36(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p24(X1)
                        & ! [X2] :
                            ( p36(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ~ ( ~ p26(X1)
                        & ! [X2] :
                            ( p36(X2)
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p41(X1)
                                & ! [X2] :
                                    ( p51(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p41(X1)
                                & ! [X2] :
                                    ( p53(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p41(X1)
                                & ! [X2] :
                                    ( p54(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p41(X1)
                                & ! [X2] :
                                    ( p55(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p32(X2)
                            & ! [X1] :
                                ( p42(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p36(X2)
                            & ! [X1] :
                                ( p42(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p43(X1)
                                & ! [X2] :
                                    ( p51(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p43(X1)
                                & ! [X2] :
                                    ( p53(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p43(X1)
                                & ! [X2] :
                                    ( p55(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p32(X2)
                            & ! [X1] :
                                ( p44(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p36(X2)
                            & ! [X1] :
                                ( p44(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p45(X1)
                                & ! [X2] :
                                    ( p51(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p45(X1)
                                & ! [X2] :
                                    ( p53(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p45(X1)
                                & ! [X2] :
                                    ( p55(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p32(X2)
                            & ! [X1] :
                                ( p46(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ~ ( ~ p36(X2)
                            & ! [X1] :
                                ( p46(X1)
                                | ~ r1(X2,X1) ) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p42(X1)
                                & ! [X2] :
                                    ( p52(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p44(X1)
                                & ! [X2] :
                                    ( p52(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p46(X1)
                                & ! [X2] :
                                    ( p52(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p42(X1)
                                & ! [X2] :
                                    ( p54(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p44(X1)
                                & ! [X2] :
                                    ( p54(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p46(X1)
                                & ! [X2] :
                                    ( p54(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p42(X1)
                                & ! [X2] :
                                    ( p56(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p44(X1)
                                & ! [X2] :
                                    ( p56(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ! [X1] :
                    ( ! [X2] :
                        ( ! [X1] :
                            ( ~ ( ~ p46(X1)
                                & ! [X2] :
                                    ( p56(X2)
                                    | ~ r1(X1,X2) ) )
                            | ~ r1(X2,X1) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ~ ! [X1] :
                          ( p52(X1)
                          | ~ r1(X2,X1) )
                    | ~ ! [X1] :
                          ( p54(X1)
                          | ~ r1(X2,X1) )
                    | ~ ! [X1] :
                          ( p54(X1)
                          | ~ r1(X2,X1) )
                    | ~ ! [X1] :
                          ( p56(X1)
                          | ~ r1(X2,X1) ) )
                | ~ r1(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

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

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

fof(c_0_3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ! [X1] :
                    ( p11(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p12(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p13(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p15(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p11(X2)
                      & ! [X1] :
                          ( p23(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p11(X2)
                      & ! [X1] :
                          ( p25(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p12(X2)
                      & ! [X1] :
                          ( p21(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p13(X2)
                      & ! [X1] :
                          ( p23(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p13(X2)
                      & ! [X1] :
                          ( p25(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p15(X2)
                      & ! [X1] :
                          ( p23(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p15(X2)
                      & ! [X1] :
                          ( p25(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p31(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p33(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p35(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p14(X2)
                      & ! [X1] :
                          ( p22(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p16(X2)
                      & ! [X1] :
                          ( p22(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p23(X1)
                          & ! [X2] :
                              ( p31(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p23(X1)
                          & ! [X2] :
                              ( p33(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p23(X1)
                          & ! [X2] :
                              ( p35(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p14(X2)
                      & ! [X1] :
                          ( p24(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p16(X2)
                      & ! [X1] :
                          ( p24(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p25(X1)
                          & ! [X2] :
                              ( p31(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p25(X1)
                          & ! [X2] :
                              ( p33(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p25(X1)
                          & ! [X2] :
                              ( p35(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p14(X2)
                      & ! [X1] :
                          ( p26(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p16(X2)
                      & ! [X1] :
                          ( p26(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p31(X2)
                              & ! [X1] :
                                  ( p43(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p31(X2)
                              & ! [X1] :
                                  ( p45(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p22(X1)
                          & ! [X2] :
                              ( p32(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p24(X1)
                          & ! [X2] :
                              ( p32(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p26(X1)
                          & ! [X2] :
                              ( p32(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p33(X2)
                              & ! [X1] :
                                  ( p43(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p33(X2)
                              & ! [X1] :
                                  ( p45(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p34(X2)
                              & ! [X1] :
                                  ( p41(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p22(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p24(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p26(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p35(X2)
                              & ! [X1] :
                                  ( p43(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p35(X2)
                              & ! [X1] :
                                  ( p45(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p22(X1)
                          & ! [X2] :
                              ( p36(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p24(X1)
                          & ! [X2] :
                              ( p36(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p26(X1)
                          & ! [X2] :
                              ( p36(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p51(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p53(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p55(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p32(X2)
                              & ! [X1] :
                                  ( p42(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p36(X2)
                              & ! [X1] :
                                  ( p42(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p43(X1)
                                  & ! [X2] :
                                      ( p51(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p43(X1)
                                  & ! [X2] :
                                      ( p53(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p43(X1)
                                  & ! [X2] :
                                      ( p55(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p32(X2)
                              & ! [X1] :
                                  ( p44(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p36(X2)
                              & ! [X1] :
                                  ( p44(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p45(X1)
                                  & ! [X2] :
                                      ( p51(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p45(X1)
                                  & ! [X2] :
                                      ( p53(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p45(X1)
                                  & ! [X2] :
                                      ( p55(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p32(X2)
                              & ! [X1] :
                                  ( p46(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p36(X2)
                              & ! [X1] :
                                  ( p46(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p42(X1)
                                  & ! [X2] :
                                      ( p52(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p44(X1)
                                  & ! [X2] :
                                      ( p52(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p46(X1)
                                  & ! [X2] :
                                      ( p52(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p42(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p44(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p46(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p42(X1)
                                  & ! [X2] :
                                      ( p56(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p44(X1)
                                  & ! [X2] :
                                      ( p56(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p46(X1)
                                  & ! [X2] :
                                      ( p56(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ ! [X1] :
                            ( p52(X1)
                            | ~ r1(X2,X1) )
                      | ~ ! [X1] :
                            ( p54(X1)
                            | ~ r1(X2,X1) )
                      | ~ ! [X1] :
                            ( p54(X1)
                            | ~ r1(X2,X1) )
                      | ~ ! [X1] :
                            ( p56(X1)
                            | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) ) ),
    inference(assume_negation,[status(cth)],[main]) ).

fof(c_0_4,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ! [X1] :
                    ( p11(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p12(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p13(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( p15(X1)
                    | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p11(X2)
                      & ! [X1] :
                          ( p23(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p11(X2)
                      & ! [X1] :
                          ( p25(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p12(X2)
                      & ! [X1] :
                          ( p21(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p13(X2)
                      & ! [X1] :
                          ( p23(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p13(X2)
                      & ! [X1] :
                          ( p25(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p15(X2)
                      & ! [X1] :
                          ( p23(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p15(X2)
                      & ! [X1] :
                          ( p25(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p31(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p33(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p21(X1)
                          & ! [X2] :
                              ( p35(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p14(X2)
                      & ! [X1] :
                          ( p22(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p16(X2)
                      & ! [X1] :
                          ( p22(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p23(X1)
                          & ! [X2] :
                              ( p31(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p23(X1)
                          & ! [X2] :
                              ( p33(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p23(X1)
                          & ! [X2] :
                              ( p35(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p14(X2)
                      & ! [X1] :
                          ( p24(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p16(X2)
                      & ! [X1] :
                          ( p24(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p25(X1)
                          & ! [X2] :
                              ( p31(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p25(X1)
                          & ! [X2] :
                              ( p33(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p25(X1)
                          & ! [X2] :
                              ( p35(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p14(X2)
                      & ! [X1] :
                          ( p26(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ p16(X2)
                      & ! [X1] :
                          ( p26(X1)
                          | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p31(X2)
                              & ! [X1] :
                                  ( p43(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p31(X2)
                              & ! [X1] :
                                  ( p45(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p22(X1)
                          & ! [X2] :
                              ( p32(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p24(X1)
                          & ! [X2] :
                              ( p32(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p26(X1)
                          & ! [X2] :
                              ( p32(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p33(X2)
                              & ! [X1] :
                                  ( p43(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p33(X2)
                              & ! [X1] :
                                  ( p45(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p34(X2)
                              & ! [X1] :
                                  ( p41(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p22(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p24(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p26(X1)
                          & ! [X2] :
                              ( p34(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p35(X2)
                              & ! [X1] :
                                  ( p43(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p35(X2)
                              & ! [X1] :
                                  ( p45(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p22(X1)
                          & ! [X2] :
                              ( p36(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p24(X1)
                          & ! [X2] :
                              ( p36(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ~ ( ~ p26(X1)
                          & ! [X2] :
                              ( p36(X2)
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p51(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p53(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p41(X1)
                                  & ! [X2] :
                                      ( p55(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p32(X2)
                              & ! [X1] :
                                  ( p42(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p36(X2)
                              & ! [X1] :
                                  ( p42(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p43(X1)
                                  & ! [X2] :
                                      ( p51(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p43(X1)
                                  & ! [X2] :
                                      ( p53(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p43(X1)
                                  & ! [X2] :
                                      ( p55(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p32(X2)
                              & ! [X1] :
                                  ( p44(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p36(X2)
                              & ! [X1] :
                                  ( p44(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p45(X1)
                                  & ! [X2] :
                                      ( p51(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p45(X1)
                                  & ! [X2] :
                                      ( p53(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p45(X1)
                                  & ! [X2] :
                                      ( p55(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p32(X2)
                              & ! [X1] :
                                  ( p46(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ~ ( ~ p36(X2)
                              & ! [X1] :
                                  ( p46(X1)
                                  | ~ r1(X2,X1) ) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p42(X1)
                                  & ! [X2] :
                                      ( p52(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p44(X1)
                                  & ! [X2] :
                                      ( p52(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p46(X1)
                                  & ! [X2] :
                                      ( p52(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p42(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p44(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p46(X1)
                                  & ! [X2] :
                                      ( p54(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p42(X1)
                                  & ! [X2] :
                                      ( p56(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p44(X1)
                                  & ! [X2] :
                                      ( p56(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ! [X1] :
                      ( ! [X2] :
                          ( ! [X1] :
                              ( ~ ( ~ p46(X1)
                                  & ! [X2] :
                                      ( p56(X2)
                                      | ~ r1(X1,X2) ) )
                              | ~ r1(X2,X1) )
                          | ~ r1(X1,X2) )
                      | ~ r1(X2,X1) )
                  | ~ r1(X1,X2) )
            | ~ ! [X2] :
                  ( ~ ( ~ ! [X1] :
                            ( p52(X1)
                            | ~ r1(X2,X1) )
                      | ~ ! [X1] :
                            ( p54(X1)
                            | ~ r1(X2,X1) )
                      | ~ ! [X1] :
                            ( p54(X1)
                            | ~ r1(X2,X1) )
                      | ~ ! [X1] :
                            ( p56(X1)
                            | ~ r1(X2,X1) ) )
                  | ~ r1(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_5,negated_conjecture,
    ! [X9,X10,X11,X12,X13,X14,X15,X16,X17,X19,X20,X21,X22,X24,X25,X26,X27,X29,X30,X31,X32,X34,X35,X36,X37,X39,X40,X41,X42,X44,X45,X46,X47,X49,X50,X51,X52,X54,X55,X56,X57,X59,X60,X61,X63,X64,X65,X67,X68,X69,X70,X72,X73,X74,X75,X77,X78,X79,X80,X82,X83,X84,X86,X87,X88,X90,X91,X92,X93,X95,X96,X97,X98,X100,X101,X102,X103,X105,X106,X107,X109,X110,X111,X113,X114,X115,X116,X118,X119,X120,X121,X123,X124,X125,X126,X128,X129,X130,X131,X133,X134,X136,X137,X139,X140,X142,X143,X144,X146,X147,X148,X150,X151,X153,X154,X156,X157,X159,X160,X161,X163,X164,X165,X167,X168,X169,X171,X172,X174,X175,X177,X178,X180,X181,X182,X184,X185,X186,X188,X190,X192,X193,X195,X196,X198,X199,X201,X203,X205,X206,X208,X209,X211,X212,X214,X216,X218,X219,X221,X222,X224,X225,X227,X228,X230,X232,X234,X236,X238,X240,X242] :
      ( ~ p11(esk73_0)
      & r1(esk72_0,esk73_0)
      & r1(esk1_0,esk72_0)
      & ~ p12(esk71_0)
      & r1(esk70_0,esk71_0)
      & r1(esk1_0,esk70_0)
      & ~ p13(esk69_0)
      & r1(esk68_0,esk69_0)
      & r1(esk1_0,esk68_0)
      & ~ p15(esk67_0)
      & r1(esk66_0,esk67_0)
      & r1(esk1_0,esk66_0)
      & ( ~ r1(esk1_0,X242)
        | p11(X242)
        | ~ p23(esk65_1(X242)) )
      & ( ~ r1(esk1_0,X242)
        | p11(X242)
        | r1(X242,esk65_1(X242)) )
      & ( ~ r1(esk1_0,X240)
        | p11(X240)
        | ~ p25(esk64_1(X240)) )
      & ( ~ r1(esk1_0,X240)
        | p11(X240)
        | r1(X240,esk64_1(X240)) )
      & ( ~ r1(esk1_0,X238)
        | p12(X238)
        | ~ p21(esk63_1(X238)) )
      & ( ~ r1(esk1_0,X238)
        | p12(X238)
        | r1(X238,esk63_1(X238)) )
      & ( ~ r1(esk1_0,X236)
        | p13(X236)
        | ~ p23(esk62_1(X236)) )
      & ( ~ r1(esk1_0,X236)
        | p13(X236)
        | r1(X236,esk62_1(X236)) )
      & ( ~ r1(esk1_0,X234)
        | p13(X234)
        | ~ p25(esk61_1(X234)) )
      & ( ~ r1(esk1_0,X234)
        | p13(X234)
        | r1(X234,esk61_1(X234)) )
      & ( ~ r1(esk1_0,X232)
        | p15(X232)
        | ~ p23(esk60_1(X232)) )
      & ( ~ r1(esk1_0,X232)
        | p15(X232)
        | r1(X232,esk60_1(X232)) )
      & ( ~ r1(esk1_0,X230)
        | p15(X230)
        | ~ p25(esk59_1(X230)) )
      & ( ~ r1(esk1_0,X230)
        | p15(X230)
        | r1(X230,esk59_1(X230)) )
      & ( ~ r1(esk1_0,X227)
        | ~ r1(X227,X228)
        | p21(X228)
        | ~ p31(esk58_2(X227,X228)) )
      & ( ~ r1(esk1_0,X227)
        | ~ r1(X227,X228)
        | p21(X228)
        | r1(X228,esk58_2(X227,X228)) )
      & ( ~ r1(esk1_0,X224)
        | ~ r1(X224,X225)
        | p21(X225)
        | ~ p33(esk57_2(X224,X225)) )
      & ( ~ r1(esk1_0,X224)
        | ~ r1(X224,X225)
        | p21(X225)
        | r1(X225,esk57_2(X224,X225)) )
      & ( ~ r1(esk1_0,X221)
        | ~ r1(X221,X222)
        | p21(X222)
        | ~ p34(esk56_2(X221,X222)) )
      & ( ~ r1(esk1_0,X221)
        | ~ r1(X221,X222)
        | p21(X222)
        | r1(X222,esk56_2(X221,X222)) )
      & ( ~ r1(esk1_0,X218)
        | ~ r1(X218,X219)
        | p21(X219)
        | ~ p35(esk55_2(X218,X219)) )
      & ( ~ r1(esk1_0,X218)
        | ~ r1(X218,X219)
        | p21(X219)
        | r1(X219,esk55_2(X218,X219)) )
      & ( ~ r1(esk1_0,X216)
        | p14(X216)
        | ~ p22(esk54_1(X216)) )
      & ( ~ r1(esk1_0,X216)
        | p14(X216)
        | r1(X216,esk54_1(X216)) )
      & ( ~ r1(esk1_0,X214)
        | p16(X214)
        | ~ p22(esk53_1(X214)) )
      & ( ~ r1(esk1_0,X214)
        | p16(X214)
        | r1(X214,esk53_1(X214)) )
      & ( ~ r1(esk1_0,X211)
        | ~ r1(X211,X212)
        | p23(X212)
        | ~ p31(esk52_2(X211,X212)) )
      & ( ~ r1(esk1_0,X211)
        | ~ r1(X211,X212)
        | p23(X212)
        | r1(X212,esk52_2(X211,X212)) )
      & ( ~ r1(esk1_0,X208)
        | ~ r1(X208,X209)
        | p23(X209)
        | ~ p33(esk51_2(X208,X209)) )
      & ( ~ r1(esk1_0,X208)
        | ~ r1(X208,X209)
        | p23(X209)
        | r1(X209,esk51_2(X208,X209)) )
      & ( ~ r1(esk1_0,X205)
        | ~ r1(X205,X206)
        | p23(X206)
        | ~ p35(esk50_2(X205,X206)) )
      & ( ~ r1(esk1_0,X205)
        | ~ r1(X205,X206)
        | p23(X206)
        | r1(X206,esk50_2(X205,X206)) )
      & ( ~ r1(esk1_0,X203)
        | p14(X203)
        | ~ p24(esk49_1(X203)) )
      & ( ~ r1(esk1_0,X203)
        | p14(X203)
        | r1(X203,esk49_1(X203)) )
      & ( ~ r1(esk1_0,X201)
        | p16(X201)
        | ~ p24(esk48_1(X201)) )
      & ( ~ r1(esk1_0,X201)
        | p16(X201)
        | r1(X201,esk48_1(X201)) )
      & ( ~ r1(esk1_0,X198)
        | ~ r1(X198,X199)
        | p25(X199)
        | ~ p31(esk47_2(X198,X199)) )
      & ( ~ r1(esk1_0,X198)
        | ~ r1(X198,X199)
        | p25(X199)
        | r1(X199,esk47_2(X198,X199)) )
      & ( ~ r1(esk1_0,X195)
        | ~ r1(X195,X196)
        | p25(X196)
        | ~ p33(esk46_2(X195,X196)) )
      & ( ~ r1(esk1_0,X195)
        | ~ r1(X195,X196)
        | p25(X196)
        | r1(X196,esk46_2(X195,X196)) )
      & ( ~ r1(esk1_0,X192)
        | ~ r1(X192,X193)
        | p25(X193)
        | ~ p35(esk45_2(X192,X193)) )
      & ( ~ r1(esk1_0,X192)
        | ~ r1(X192,X193)
        | p25(X193)
        | r1(X193,esk45_2(X192,X193)) )
      & ( ~ r1(esk1_0,X190)
        | p14(X190)
        | ~ p26(esk44_1(X190)) )
      & ( ~ r1(esk1_0,X190)
        | p14(X190)
        | r1(X190,esk44_1(X190)) )
      & ( ~ r1(esk1_0,X188)
        | p16(X188)
        | ~ p26(esk43_1(X188)) )
      & ( ~ r1(esk1_0,X188)
        | p16(X188)
        | r1(X188,esk43_1(X188)) )
      & ( ~ r1(esk1_0,X184)
        | ~ r1(X184,X185)
        | ~ r1(X185,X186)
        | p31(X186)
        | ~ p43(esk42_3(X184,X185,X186)) )
      & ( ~ r1(esk1_0,X184)
        | ~ r1(X184,X185)
        | ~ r1(X185,X186)
        | p31(X186)
        | r1(X186,esk42_3(X184,X185,X186)) )
      & ( ~ r1(esk1_0,X180)
        | ~ r1(X180,X181)
        | ~ r1(X181,X182)
        | p31(X182)
        | ~ p45(esk41_3(X180,X181,X182)) )
      & ( ~ r1(esk1_0,X180)
        | ~ r1(X180,X181)
        | ~ r1(X181,X182)
        | p31(X182)
        | r1(X182,esk41_3(X180,X181,X182)) )
      & ( ~ r1(esk1_0,X177)
        | ~ r1(X177,X178)
        | p22(X178)
        | ~ p32(esk40_2(X177,X178)) )
      & ( ~ r1(esk1_0,X177)
        | ~ r1(X177,X178)
        | p22(X178)
        | r1(X178,esk40_2(X177,X178)) )
      & ( ~ r1(esk1_0,X174)
        | ~ r1(X174,X175)
        | p24(X175)
        | ~ p32(esk39_2(X174,X175)) )
      & ( ~ r1(esk1_0,X174)
        | ~ r1(X174,X175)
        | p24(X175)
        | r1(X175,esk39_2(X174,X175)) )
      & ( ~ r1(esk1_0,X171)
        | ~ r1(X171,X172)
        | p26(X172)
        | ~ p32(esk38_2(X171,X172)) )
      & ( ~ r1(esk1_0,X171)
        | ~ r1(X171,X172)
        | p26(X172)
        | r1(X172,esk38_2(X171,X172)) )
      & ( ~ r1(esk1_0,X167)
        | ~ r1(X167,X168)
        | ~ r1(X168,X169)
        | p33(X169)
        | ~ p43(esk37_3(X167,X168,X169)) )
      & ( ~ r1(esk1_0,X167)
        | ~ r1(X167,X168)
        | ~ r1(X168,X169)
        | p33(X169)
        | r1(X169,esk37_3(X167,X168,X169)) )
      & ( ~ r1(esk1_0,X163)
        | ~ r1(X163,X164)
        | ~ r1(X164,X165)
        | p33(X165)
        | ~ p45(esk36_3(X163,X164,X165)) )
      & ( ~ r1(esk1_0,X163)
        | ~ r1(X163,X164)
        | ~ r1(X164,X165)
        | p33(X165)
        | r1(X165,esk36_3(X163,X164,X165)) )
      & ( ~ r1(esk1_0,X159)
        | ~ r1(X159,X160)
        | ~ r1(X160,X161)
        | p34(X161)
        | ~ p41(esk35_3(X159,X160,X161)) )
      & ( ~ r1(esk1_0,X159)
        | ~ r1(X159,X160)
        | ~ r1(X160,X161)
        | p34(X161)
        | r1(X161,esk35_3(X159,X160,X161)) )
      & ( ~ r1(esk1_0,X156)
        | ~ r1(X156,X157)
        | p22(X157)
        | ~ p34(esk34_2(X156,X157)) )
      & ( ~ r1(esk1_0,X156)
        | ~ r1(X156,X157)
        | p22(X157)
        | r1(X157,esk34_2(X156,X157)) )
      & ( ~ r1(esk1_0,X153)
        | ~ r1(X153,X154)
        | p24(X154)
        | ~ p34(esk33_2(X153,X154)) )
      & ( ~ r1(esk1_0,X153)
        | ~ r1(X153,X154)
        | p24(X154)
        | r1(X154,esk33_2(X153,X154)) )
      & ( ~ r1(esk1_0,X150)
        | ~ r1(X150,X151)
        | p26(X151)
        | ~ p34(esk32_2(X150,X151)) )
      & ( ~ r1(esk1_0,X150)
        | ~ r1(X150,X151)
        | p26(X151)
        | r1(X151,esk32_2(X150,X151)) )
      & ( ~ r1(esk1_0,X146)
        | ~ r1(X146,X147)
        | ~ r1(X147,X148)
        | p35(X148)
        | ~ p43(esk31_3(X146,X147,X148)) )
      & ( ~ r1(esk1_0,X146)
        | ~ r1(X146,X147)
        | ~ r1(X147,X148)
        | p35(X148)
        | r1(X148,esk31_3(X146,X147,X148)) )
      & ( ~ r1(esk1_0,X142)
        | ~ r1(X142,X143)
        | ~ r1(X143,X144)
        | p35(X144)
        | ~ p45(esk30_3(X142,X143,X144)) )
      & ( ~ r1(esk1_0,X142)
        | ~ r1(X142,X143)
        | ~ r1(X143,X144)
        | p35(X144)
        | r1(X144,esk30_3(X142,X143,X144)) )
      & ( ~ r1(esk1_0,X139)
        | ~ r1(X139,X140)
        | p22(X140)
        | ~ p36(esk29_2(X139,X140)) )
      & ( ~ r1(esk1_0,X139)
        | ~ r1(X139,X140)
        | p22(X140)
        | r1(X140,esk29_2(X139,X140)) )
      & ( ~ r1(esk1_0,X136)
        | ~ r1(X136,X137)
        | p24(X137)
        | ~ p36(esk28_2(X136,X137)) )
      & ( ~ r1(esk1_0,X136)
        | ~ r1(X136,X137)
        | p24(X137)
        | r1(X137,esk28_2(X136,X137)) )
      & ( ~ r1(esk1_0,X133)
        | ~ r1(X133,X134)
        | p26(X134)
        | ~ p36(esk27_2(X133,X134)) )
      & ( ~ r1(esk1_0,X133)
        | ~ r1(X133,X134)
        | p26(X134)
        | r1(X134,esk27_2(X133,X134)) )
      & ( ~ r1(esk1_0,X128)
        | ~ r1(X128,X129)
        | ~ r1(X129,X130)
        | ~ r1(X130,X131)
        | p41(X131)
        | ~ p51(esk26_4(X128,X129,X130,X131)) )
      & ( ~ r1(esk1_0,X128)
        | ~ r1(X128,X129)
        | ~ r1(X129,X130)
        | ~ r1(X130,X131)
        | p41(X131)
        | r1(X131,esk26_4(X128,X129,X130,X131)) )
      & ( ~ r1(esk1_0,X123)
        | ~ r1(X123,X124)
        | ~ r1(X124,X125)
        | ~ r1(X125,X126)
        | p41(X126)
        | ~ p53(esk25_4(X123,X124,X125,X126)) )
      & ( ~ r1(esk1_0,X123)
        | ~ r1(X123,X124)
        | ~ r1(X124,X125)
        | ~ r1(X125,X126)
        | p41(X126)
        | r1(X126,esk25_4(X123,X124,X125,X126)) )
      & ( ~ r1(esk1_0,X118)
        | ~ r1(X118,X119)
        | ~ r1(X119,X120)
        | ~ r1(X120,X121)
        | p41(X121)
        | ~ p54(esk24_4(X118,X119,X120,X121)) )
      & ( ~ r1(esk1_0,X118)
        | ~ r1(X118,X119)
        | ~ r1(X119,X120)
        | ~ r1(X120,X121)
        | p41(X121)
        | r1(X121,esk24_4(X118,X119,X120,X121)) )
      & ( ~ r1(esk1_0,X113)
        | ~ r1(X113,X114)
        | ~ r1(X114,X115)
        | ~ r1(X115,X116)
        | p41(X116)
        | ~ p55(esk23_4(X113,X114,X115,X116)) )
      & ( ~ r1(esk1_0,X113)
        | ~ r1(X113,X114)
        | ~ r1(X114,X115)
        | ~ r1(X115,X116)
        | p41(X116)
        | r1(X116,esk23_4(X113,X114,X115,X116)) )
      & ( ~ r1(esk1_0,X109)
        | ~ r1(X109,X110)
        | ~ r1(X110,X111)
        | p32(X111)
        | ~ p42(esk22_3(X109,X110,X111)) )
      & ( ~ r1(esk1_0,X109)
        | ~ r1(X109,X110)
        | ~ r1(X110,X111)
        | p32(X111)
        | r1(X111,esk22_3(X109,X110,X111)) )
      & ( ~ r1(esk1_0,X105)
        | ~ r1(X105,X106)
        | ~ r1(X106,X107)
        | p36(X107)
        | ~ p42(esk21_3(X105,X106,X107)) )
      & ( ~ r1(esk1_0,X105)
        | ~ r1(X105,X106)
        | ~ r1(X106,X107)
        | p36(X107)
        | r1(X107,esk21_3(X105,X106,X107)) )
      & ( ~ r1(esk1_0,X100)
        | ~ r1(X100,X101)
        | ~ r1(X101,X102)
        | ~ r1(X102,X103)
        | p43(X103)
        | ~ p51(esk20_4(X100,X101,X102,X103)) )
      & ( ~ r1(esk1_0,X100)
        | ~ r1(X100,X101)
        | ~ r1(X101,X102)
        | ~ r1(X102,X103)
        | p43(X103)
        | r1(X103,esk20_4(X100,X101,X102,X103)) )
      & ( ~ r1(esk1_0,X95)
        | ~ r1(X95,X96)
        | ~ r1(X96,X97)
        | ~ r1(X97,X98)
        | p43(X98)
        | ~ p53(esk19_4(X95,X96,X97,X98)) )
      & ( ~ r1(esk1_0,X95)
        | ~ r1(X95,X96)
        | ~ r1(X96,X97)
        | ~ r1(X97,X98)
        | p43(X98)
        | r1(X98,esk19_4(X95,X96,X97,X98)) )
      & ( ~ r1(esk1_0,X90)
        | ~ r1(X90,X91)
        | ~ r1(X91,X92)
        | ~ r1(X92,X93)
        | p43(X93)
        | ~ p55(esk18_4(X90,X91,X92,X93)) )
      & ( ~ r1(esk1_0,X90)
        | ~ r1(X90,X91)
        | ~ r1(X91,X92)
        | ~ r1(X92,X93)
        | p43(X93)
        | r1(X93,esk18_4(X90,X91,X92,X93)) )
      & ( ~ r1(esk1_0,X86)
        | ~ r1(X86,X87)
        | ~ r1(X87,X88)
        | p32(X88)
        | ~ p44(esk17_3(X86,X87,X88)) )
      & ( ~ r1(esk1_0,X86)
        | ~ r1(X86,X87)
        | ~ r1(X87,X88)
        | p32(X88)
        | r1(X88,esk17_3(X86,X87,X88)) )
      & ( ~ r1(esk1_0,X82)
        | ~ r1(X82,X83)
        | ~ r1(X83,X84)
        | p36(X84)
        | ~ p44(esk16_3(X82,X83,X84)) )
      & ( ~ r1(esk1_0,X82)
        | ~ r1(X82,X83)
        | ~ r1(X83,X84)
        | p36(X84)
        | r1(X84,esk16_3(X82,X83,X84)) )
      & ( ~ r1(esk1_0,X77)
        | ~ r1(X77,X78)
        | ~ r1(X78,X79)
        | ~ r1(X79,X80)
        | p45(X80)
        | ~ p51(esk15_4(X77,X78,X79,X80)) )
      & ( ~ r1(esk1_0,X77)
        | ~ r1(X77,X78)
        | ~ r1(X78,X79)
        | ~ r1(X79,X80)
        | p45(X80)
        | r1(X80,esk15_4(X77,X78,X79,X80)) )
      & ( ~ r1(esk1_0,X72)
        | ~ r1(X72,X73)
        | ~ r1(X73,X74)
        | ~ r1(X74,X75)
        | p45(X75)
        | ~ p53(esk14_4(X72,X73,X74,X75)) )
      & ( ~ r1(esk1_0,X72)
        | ~ r1(X72,X73)
        | ~ r1(X73,X74)
        | ~ r1(X74,X75)
        | p45(X75)
        | r1(X75,esk14_4(X72,X73,X74,X75)) )
      & ( ~ r1(esk1_0,X67)
        | ~ r1(X67,X68)
        | ~ r1(X68,X69)
        | ~ r1(X69,X70)
        | p45(X70)
        | ~ p55(esk13_4(X67,X68,X69,X70)) )
      & ( ~ r1(esk1_0,X67)
        | ~ r1(X67,X68)
        | ~ r1(X68,X69)
        | ~ r1(X69,X70)
        | p45(X70)
        | r1(X70,esk13_4(X67,X68,X69,X70)) )
      & ( ~ r1(esk1_0,X63)
        | ~ r1(X63,X64)
        | ~ r1(X64,X65)
        | p32(X65)
        | ~ p46(esk12_3(X63,X64,X65)) )
      & ( ~ r1(esk1_0,X63)
        | ~ r1(X63,X64)
        | ~ r1(X64,X65)
        | p32(X65)
        | r1(X65,esk12_3(X63,X64,X65)) )
      & ( ~ r1(esk1_0,X59)
        | ~ r1(X59,X60)
        | ~ r1(X60,X61)
        | p36(X61)
        | ~ p46(esk11_3(X59,X60,X61)) )
      & ( ~ r1(esk1_0,X59)
        | ~ r1(X59,X60)
        | ~ r1(X60,X61)
        | p36(X61)
        | r1(X61,esk11_3(X59,X60,X61)) )
      & ( ~ r1(esk1_0,X54)
        | ~ r1(X54,X55)
        | ~ r1(X55,X56)
        | ~ r1(X56,X57)
        | p42(X57)
        | ~ p52(esk10_4(X54,X55,X56,X57)) )
      & ( ~ r1(esk1_0,X54)
        | ~ r1(X54,X55)
        | ~ r1(X55,X56)
        | ~ r1(X56,X57)
        | p42(X57)
        | r1(X57,esk10_4(X54,X55,X56,X57)) )
      & ( ~ r1(esk1_0,X49)
        | ~ r1(X49,X50)
        | ~ r1(X50,X51)
        | ~ r1(X51,X52)
        | p44(X52)
        | ~ p52(esk9_4(X49,X50,X51,X52)) )
      & ( ~ r1(esk1_0,X49)
        | ~ r1(X49,X50)
        | ~ r1(X50,X51)
        | ~ r1(X51,X52)
        | p44(X52)
        | r1(X52,esk9_4(X49,X50,X51,X52)) )
      & ( ~ r1(esk1_0,X44)
        | ~ r1(X44,X45)
        | ~ r1(X45,X46)
        | ~ r1(X46,X47)
        | p46(X47)
        | ~ p52(esk8_4(X44,X45,X46,X47)) )
      & ( ~ r1(esk1_0,X44)
        | ~ r1(X44,X45)
        | ~ r1(X45,X46)
        | ~ r1(X46,X47)
        | p46(X47)
        | r1(X47,esk8_4(X44,X45,X46,X47)) )
      & ( ~ r1(esk1_0,X39)
        | ~ r1(X39,X40)
        | ~ r1(X40,X41)
        | ~ r1(X41,X42)
        | p42(X42)
        | ~ p54(esk7_4(X39,X40,X41,X42)) )
      & ( ~ r1(esk1_0,X39)
        | ~ r1(X39,X40)
        | ~ r1(X40,X41)
        | ~ r1(X41,X42)
        | p42(X42)
        | r1(X42,esk7_4(X39,X40,X41,X42)) )
      & ( ~ r1(esk1_0,X34)
        | ~ r1(X34,X35)
        | ~ r1(X35,X36)
        | ~ r1(X36,X37)
        | p44(X37)
        | ~ p54(esk6_4(X34,X35,X36,X37)) )
      & ( ~ r1(esk1_0,X34)
        | ~ r1(X34,X35)
        | ~ r1(X35,X36)
        | ~ r1(X36,X37)
        | p44(X37)
        | r1(X37,esk6_4(X34,X35,X36,X37)) )
      & ( ~ r1(esk1_0,X29)
        | ~ r1(X29,X30)
        | ~ r1(X30,X31)
        | ~ r1(X31,X32)
        | p46(X32)
        | ~ p54(esk5_4(X29,X30,X31,X32)) )
      & ( ~ r1(esk1_0,X29)
        | ~ r1(X29,X30)
        | ~ r1(X30,X31)
        | ~ r1(X31,X32)
        | p46(X32)
        | r1(X32,esk5_4(X29,X30,X31,X32)) )
      & ( ~ r1(esk1_0,X24)
        | ~ r1(X24,X25)
        | ~ r1(X25,X26)
        | ~ r1(X26,X27)
        | p42(X27)
        | ~ p56(esk4_4(X24,X25,X26,X27)) )
      & ( ~ r1(esk1_0,X24)
        | ~ r1(X24,X25)
        | ~ r1(X25,X26)
        | ~ r1(X26,X27)
        | p42(X27)
        | r1(X27,esk4_4(X24,X25,X26,X27)) )
      & ( ~ r1(esk1_0,X19)
        | ~ r1(X19,X20)
        | ~ r1(X20,X21)
        | ~ r1(X21,X22)
        | p44(X22)
        | ~ p56(esk3_4(X19,X20,X21,X22)) )
      & ( ~ r1(esk1_0,X19)
        | ~ r1(X19,X20)
        | ~ r1(X20,X21)
        | ~ r1(X21,X22)
        | p44(X22)
        | r1(X22,esk3_4(X19,X20,X21,X22)) )
      & ( ~ r1(esk1_0,X14)
        | ~ r1(X14,X15)
        | ~ r1(X15,X16)
        | ~ r1(X16,X17)
        | p46(X17)
        | ~ p56(esk2_4(X14,X15,X16,X17)) )
      & ( ~ r1(esk1_0,X14)
        | ~ r1(X14,X15)
        | ~ r1(X15,X16)
        | ~ r1(X16,X17)
        | p46(X17)
        | r1(X17,esk2_4(X14,X15,X16,X17)) )
      & ( ~ r1(esk1_0,X9)
        | p52(X13)
        | ~ r1(X9,X13) )
      & ( ~ r1(esk1_0,X9)
        | p54(X12)
        | ~ r1(X9,X12) )
      & ( ~ r1(esk1_0,X9)
        | p54(X11)
        | ~ r1(X9,X11) )
      & ( ~ r1(esk1_0,X9)
        | p56(X10)
        | ~ r1(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).

fof(c_0_6,plain,
    ! [X4] : r1(X4,X4),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | p54(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X5,X6,X7] :
      ( r1(X5,X7)
      | ~ r1(X6,X7)
      | ~ r1(X5,X6) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])])]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p54(esk24_4(X1,X2,X3,X4))
    | p41(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | p54(X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | r1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | p41(X1)
    | r1(X1,esk24_4(X2,X3,X4,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,esk24_4(X2,X3,X4,X1))
    | p41(X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1)
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X3)
    | r1(X2,esk24_4(X3,X4,X5,X1))
    | p41(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ r1(X2,X4)
    | ~ r1(X4,X3)
    | ~ r1(X3,X1)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2)
    | p41(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ r1(X2,X3)
    | ~ r1(X3,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1)
    | p41(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    r1(esk1_0,esk70_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ r1(X2,X1)
    | ~ r1(esk1_0,X2)
    | p41(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ r1(X1,esk1_0)
    | r1(X1,esk70_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p41(esk35_3(X1,X2,X3))
    | p34(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ r1(esk70_0,X1)
    | p41(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_8])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1)
    | p34(X1)
    | r1(X1,esk35_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ r1(X2,X3)
    | ~ r1(X3,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk70_0,esk35_3(X2,X3,X1))
    | p34(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X3)
    | r1(X2,esk35_3(X3,X4,X1))
    | p34(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ r1(X2,X3)
    | ~ r1(X3,X1)
    | ~ r1(esk70_0,X1)
    | ~ r1(esk1_0,X2)
    | p34(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ r1(X2,X1)
    | ~ r1(esk70_0,X2)
    | p34(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_8])]),c_0_12]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p34(esk56_2(X1,X2))
    | p21(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ r1(esk70_0,X1)
    | p34(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_8]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ r1(esk1_0,X2)
    | ~ r1(X2,X1)
    | p21(X1)
    | r1(X1,esk56_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ r1(X2,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk70_0,esk56_2(X2,X1))
    | p21(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ r1(X3,X1)
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X3)
    | r1(X2,esk56_2(X3,X1))
    | p21(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ r1(X2,X1)
    | ~ r1(esk70_0,X1)
    | ~ r1(esk1_0,X2)
    | p21(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ p21(esk63_1(X1))
    | p12(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ r1(esk70_0,X1)
    | p21(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_8])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | p12(X1)
    | r1(X1,esk63_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(esk70_0,esk63_1(X1))
    | p12(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ r1(X2,X1)
    | ~ r1(esk1_0,X1)
    | r1(X2,esk63_1(X1))
    | p12(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ~ p12(esk71_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ r1(esk70_0,X1)
    | ~ r1(esk1_0,X1)
    | p12(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    r1(esk70_0,esk71_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_42,negated_conjecture,
    ~ r1(esk1_0,esk71_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ r1(X1,esk70_0)
    | r1(X1,esk71_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL682+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  % Computer : n005.cluster.edu
% 0.10/0.41  % Model    : x86_64 x86_64
% 0.10/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41  % Memory   : 8046.5625MB
% 0.10/0.41  % OS       : Linux 6.8.0-71-generic
% 0.10/0.41  % CPULimit : 300
% 0.10/0.41  % WCLimit  : 300
% 0.10/0.41  % DateTime : Mon Sep 21 00:56:18 UTC 2026
% 0.10/0.41  % CPUTime  : 
% 0.10/0.41  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.46  Running first-order theorem proving
% 0.16/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 121.85/18.58  % Version: 3.5.1
% 121.85/18.58  % Preprocessing class: FSLSSMSSSSSNFFN.
% 121.85/18.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 121.85/18.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 121.85/18.58  % Starting new_bool_3 with 300s (1) cores
% 121.85/18.58  % Starting new_bool_1 with 300s (1) cores
% 121.85/18.58  % Starting sh5l with 300s (1) cores
% 121.85/18.58  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2197284 completed with status 0
% 121.85/18.58  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 121.85/18.58  % Preprocessing class: FSLSSMSSSSSNFFN.
% 121.85/18.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 121.85/18.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 121.85/18.58  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 121.85/18.58  % No SInE strategy applied
% 121.85/18.58  % Search class: FGUNF-FSLM32-SFFFFFNN
% 121.85/18.58  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 121.85/18.58  % Starting SubtermCWHack with 136s (1) cores
% 121.85/18.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 121.85/18.58  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 450s (1) cores
% 121.85/18.58  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 150s (1) cores
% 121.85/18.58  % Starting new_bool_3 with 150s (1) cores
% 121.85/18.58  % G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 2197293 completed with status 0
% 121.85/18.58  % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 121.85/18.58  % Preprocessing class: FSLSSMSSSSSNFFN.
% 121.85/18.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 121.85/18.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 121.85/18.58  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 121.85/18.58  % No SInE strategy applied
% 121.85/18.58  % Search class: FGUNF-FSLM32-SFFFFFNN
% 121.85/18.58  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 121.85/18.58  % Starting SubtermCWHack with 136s (1) cores
% 121.85/18.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 121.85/18.58  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 450s (1) cores
% 121.85/18.58  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 150s (1) cores
% 121.85/18.58  % Preprocessing time       : 0.009 s
% 121.85/18.58  
% 121.85/18.58  % Proof found!
% 121.85/18.58  % SZS status Theorem
% 121.85/18.58  % SZS output start CNFRefutation
% See solution above
% 121.85/18.58  % Parsed axioms                        : 3
% 121.85/18.58  % Removed by relevancy pruning/SinE    : 0
% 121.85/18.58  % Initial clauses                      : 146
% 121.85/18.58  % Removed in clause preprocessing      : 0
% 121.85/18.58  % Initial clauses in saturation        : 146
% 121.85/18.58  % Processed clauses                    : 20631
% 121.85/18.58  % ...of these trivial                  : 40
% 121.85/18.58  % ...subsumed                          : 6813
% 121.85/18.58  % ...remaining for further processing  : 13778
% 121.85/18.58  % Other redundant clauses eliminated   : 0
% 121.85/18.58  % Clauses deleted for lack of memory   : 0
% 121.85/18.58  % Backward-subsumed                    : 8543
% 121.85/18.58  % Backward-rewritten                   : 2206
% 121.85/18.58  % Generated clauses                    : 284174
% 121.85/18.58  % ...of the previous two non-redundant : 265555
% 121.85/18.58  % ...aggressively subsumed             : 0
% 121.85/18.58  % Contextual simplify-reflections      : 128
% 121.85/18.58  % Paramodulations                      : 284174
% 121.85/18.58  % Factorizations                       : 0
% 121.85/18.58  % NegExts                              : 0
% 121.85/18.58  % Equation resolutions                 : 0
% 121.85/18.58  % Disequality decompositions           : 0
% 121.85/18.58  % Total rewrite steps                  : 34295
% 121.85/18.58  % ...of those cached                   : 34180
% 121.85/18.58  % Propositional unsat checks           : 2
% 121.85/18.58  %    Propositional check models        : 2
% 121.85/18.58  %    Propositional check unsatisfiable : 0
% 121.85/18.58  %    Propositional clauses             : 0
% 121.85/18.58  %    Propositional clauses after purity: 0
% 121.85/18.58  %    Propositional unsat core size     : 0
% 121.85/18.58  %    Propositional preprocessing time  : 0.000
% 121.85/18.58  %    Propositional encoding time       : 0.264
% 121.85/18.58  %    Propositional solver time         : 0.012
% 121.85/18.58  %    Success case prop preproc time    : 0.000
% 121.85/18.58  %    Success case prop encoding time   : 0.000
% 121.85/18.58  %    Success case prop solver time     : 0.000
% 121.85/18.58  % Current number of processed clauses  : 3029
% 121.85/18.58  %    Positive orientable unit clauses  : 107
% 121.85/18.58  %    Positive unorientable unit clauses: 0
% 121.85/18.58  %    Negative unit clauses             : 5
% 121.85/18.58  %    Non-unit-clauses                  : 2917
% 121.85/18.58  % Current number of unprocessed clauses: 154186
% 121.85/18.58  % ...number of literals in the above   : 1122028
% 121.85/18.58  % Current number of archived formulas  : 0
% 121.85/18.58  % Current number of archived clauses   : 10749
% 121.85/18.58  % Clause-clause subsumption calls (NU) : 17633108
% 121.85/18.58  % Rec. Clause-clause subsumption calls : 1751627
% 121.85/18.58  % Non-unit clause-clause subsumptions  : 14920
% 121.85/18.58  % Unit Clause-clause subsumption calls : 122833
% 121.85/18.58  % Rewrite failures with RHS unbound    : 0
% 121.85/18.58  % BW rewrite match attempts            : 107
% 121.85/18.58  % BW rewrite match successes           : 96
% 121.85/18.58  % Condensation attempts                : 0
% 121.85/18.58  % Condensation successes               : 0
% 121.85/18.58  % Termbank termtop insertions          : 6996191
% 121.85/18.58  % Search garbage collected termcells   : 4265
% 121.85/18.58  
% 121.85/18.58  % -------------------------------------------------
% 121.85/18.58  % User time                : 16.889 s
% 121.85/18.58  % System time              : 0.220 s
% 121.85/18.58  % Total time               : 17.109 s
% 121.85/18.58  % Maximum resident set size: 4752 pages
% 121.85/18.58  
% 121.85/18.58  % -------------------------------------------------
% 121.85/18.58  % User time                : 84.988 s
% 121.85/18.58  % System time              : 2.157 s
% 121.85/18.58  % Total time               : 87.145 s
% 121.85/18.58  % Maximum resident set size: 4864 pages
% 121.85/18.58  % E exiting
%------------------------------------------------------------------------------