↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : LCL686+1.020 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:44:51 PM UTC 2026

% Result   : Theorem 1.34s 1.73s
% Output   : CNFRefutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       : 2737 (   0 equ)
%            Maximal formula atoms :  934 ( 130 avg)
%            Number of connectives : 4797 (2081   ~;1721   |; 993   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  355 (  46 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   64 (  62 usr;   2 prp; 0-2 aty)
%            Number of functors    :   64 (  64 usr;   4 con; 0-1 aty)
%            Number of variables   :  440 (   0 sgn 426   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ~ p60(X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ! [X2] :
                                                                                            ( ~ r1(X1,X2)
                                                                                            | ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ! [X2] :
                                                                                                    ( ~ r1(X1,X2)
                                                                                                    | ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ! [X2] :
                                                                                                            ( ~ r1(X1,X2)
                                                                                                            | ! [X1] :
                                                                                                                ( ~ r1(X2,X1)
                                                                                                                | ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ! [X2] :
                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                            | ! [X1] :
                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                | ! [X2] :
                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                    | ! [X1] :
                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                        | ! [X2] :
                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                            | ! [X1] :
                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                | ! [X2] :
                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                    | ! [X1] :
                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                        | ! [X2] :
                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                            | ! [X1] :
                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                | ! [X2] :
                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                | ! [X2] :
                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                | ! [X2] :
                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                                | ! [X2] :
                                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                                                | ! [X2] :
                                                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                | ! [X2] :
                                                                                                                                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                                | ~ $true )
                                                                                                                                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                                  | ~ ( ( p59(X1)
                                                                                                                                                                                                                                                                        & ~ p58(X1) )
                                                                                                                                                                                                                                                                      | ( ~ p59(X1)
                                                                                                                                                                                                                                                                        & p58(X1) ) ) ) )
                                                                                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                                                                              | ~ ( ( p58(X2)
                                                                                                                                                                                                                                                                    & ~ p57(X2) )
                                                                                                                                                                                                                                                                  | ( ~ p58(X2)
                                                                                                                                                                                                                                                                    & p57(X2) ) ) ) )
                                                                                                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                          | ~ ( ( p57(X1)
                                                                                                                                                                                                                                                                & ~ p56(X1) )
                                                                                                                                                                                                                                                              | ( ~ p57(X1)
                                                                                                                                                                                                                                                                & p56(X1) ) ) ) )
                                                                                                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                                                      | ~ ( ( p56(X2)
                                                                                                                                                                                                                                                            & ~ p55(X2) )
                                                                                                                                                                                                                                                          | ( ~ p56(X2)
                                                                                                                                                                                                                                                            & p55(X2) ) ) ) )
                                                                                                                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                  | ~ ( ( p55(X1)
                                                                                                                                                                                                                                                        & ~ p54(X1) )
                                                                                                                                                                                                                                                      | ( ~ p55(X1)
                                                                                                                                                                                                                                                        & p54(X1) ) ) ) )
                                                                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                                                              | ~ ( ( p54(X2)
                                                                                                                                                                                                                                                    & ~ p53(X2) )
                                                                                                                                                                                                                                                  | ( ~ p54(X2)
                                                                                                                                                                                                                                                    & p53(X2) ) ) ) )
                                                                                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                                                          | ~ ( ( p53(X1)
                                                                                                                                                                                                                                                & ~ p52(X1) )
                                                                                                                                                                                                                                              | ( ~ p53(X1)
                                                                                                                                                                                                                                                & p52(X1) ) ) ) )
                                                                                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                                      | ~ ( ( p52(X2)
                                                                                                                                                                                                                                            & ~ p51(X2) )
                                                                                                                                                                                                                                          | ( ~ p52(X2)
                                                                                                                                                                                                                                            & p51(X2) ) ) ) )
                                                                                                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                                  | ~ ( ( p51(X1)
                                                                                                                                                                                                                                        & ~ p50(X1) )
                                                                                                                                                                                                                                      | ( ~ p51(X1)
                                                                                                                                                                                                                                        & p50(X1) ) ) ) )
                                                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                                              | ~ ( ( p50(X2)
                                                                                                                                                                                                                                    & ~ p49(X2) )
                                                                                                                                                                                                                                  | ( ~ p50(X2)
                                                                                                                                                                                                                                    & p49(X2) ) ) ) )
                                                                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                                          | ~ ( ( p49(X1)
                                                                                                                                                                                                                                & ~ p48(X1) )
                                                                                                                                                                                                                              | ( ~ p49(X1)
                                                                                                                                                                                                                                & p48(X1) ) ) ) )
                                                                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                      | ~ ( ( p48(X2)
                                                                                                                                                                                                                            & ~ p47(X2) )
                                                                                                                                                                                                                          | ( ~ p48(X2)
                                                                                                                                                                                                                            & p47(X2) ) ) ) )
                                                                                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                  | ~ ( ( p47(X1)
                                                                                                                                                                                                                        & ~ p46(X1) )
                                                                                                                                                                                                                      | ( ~ p47(X1)
                                                                                                                                                                                                                        & p46(X1) ) ) ) )
                                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                              | ~ ( ( p46(X2)
                                                                                                                                                                                                                    & ~ p45(X2) )
                                                                                                                                                                                                                  | ( ~ p46(X2)
                                                                                                                                                                                                                    & p45(X2) ) ) ) )
                                                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                          | ~ ( ( p45(X1)
                                                                                                                                                                                                                & ~ p44(X1) )
                                                                                                                                                                                                              | ( ~ p45(X1)
                                                                                                                                                                                                                & p44(X1) ) ) ) )
                                                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                      | ~ ( ( p44(X2)
                                                                                                                                                                                                            & ~ p43(X2) )
                                                                                                                                                                                                          | ( ~ p44(X2)
                                                                                                                                                                                                            & p43(X2) ) ) ) )
                                                                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                  | ~ ( ( p43(X1)
                                                                                                                                                                                                        & ~ p42(X1) )
                                                                                                                                                                                                      | ( ~ p43(X1)
                                                                                                                                                                                                        & p42(X1) ) ) ) )
                                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | ~ ( ( p42(X2)
                                                                                                                                                                                                    & ~ p41(X2) )
                                                                                                                                                                                                  | ( ~ p42(X2)
                                                                                                                                                                                                    & p41(X2) ) ) ) )
                                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ~ ( ( p41(X1)
                                                                                                                                                                                                & ~ p40(X1) )
                                                                                                                                                                                              | ( ~ p41(X1)
                                                                                                                                                                                                & p40(X1) ) ) ) )
                                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                      | ~ ( ( p40(X2)
                                                                                                                                                                                            & ~ p39(X2) )
                                                                                                                                                                                          | ( ~ p40(X2)
                                                                                                                                                                                            & p39(X2) ) ) ) )
                                                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                  | ~ ( ( p39(X1)
                                                                                                                                                                                        & ~ p38(X1) )
                                                                                                                                                                                      | ( ~ p39(X1)
                                                                                                                                                                                        & p38(X1) ) ) ) )
                                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                              | ~ ( ( p38(X2)
                                                                                                                                                                                    & ~ p37(X2) )
                                                                                                                                                                                  | ( ~ p38(X2)
                                                                                                                                                                                    & p37(X2) ) ) ) )
                                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                          | ~ ( ( p37(X1)
                                                                                                                                                                                & ~ p36(X1) )
                                                                                                                                                                              | ( ~ p37(X1)
                                                                                                                                                                                & p36(X1) ) ) ) )
                                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                      | ~ ( ( p36(X2)
                                                                                                                                                                            & ~ p35(X2) )
                                                                                                                                                                          | ( ~ p36(X2)
                                                                                                                                                                            & p35(X2) ) ) ) )
                                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                  | ~ ( ( p35(X1)
                                                                                                                                                                        & ~ p34(X1) )
                                                                                                                                                                      | ( ~ p35(X1)
                                                                                                                                                                        & p34(X1) ) ) ) )
                                                                                                                                                        | ~ ! [X2] :
                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                              | ~ ( ( p34(X2)
                                                                                                                                                                    & ~ p33(X2) )
                                                                                                                                                                  | ( ~ p34(X2)
                                                                                                                                                                    & p33(X2) ) ) ) )
                                                                                                                                                    | ~ ! [X1] :
                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                          | ~ ( ( p33(X1)
                                                                                                                                                                & ~ p32(X1) )
                                                                                                                                                              | ( ~ p33(X1)
                                                                                                                                                                & p32(X1) ) ) ) )
                                                                                                                                                | ~ ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ~ ( ( p32(X2)
                                                                                                                                                            & ~ p31(X2) )
                                                                                                                                                          | ( ~ p32(X2)
                                                                                                                                                            & p31(X2) ) ) ) )
                                                                                                                                            | ~ ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ~ ( ( p31(X1)
                                                                                                                                                        & ~ p30(X1) )
                                                                                                                                                      | ( ~ p31(X1)
                                                                                                                                                        & p30(X1) ) ) ) )
                                                                                                                                        | ~ ! [X2] :
                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                              | ~ ( ( p30(X2)
                                                                                                                                                    & ~ p29(X2) )
                                                                                                                                                  | ( ~ p30(X2)
                                                                                                                                                    & p29(X2) ) ) ) )
                                                                                                                                    | ~ ! [X1] :
                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                          | ~ ( ( p29(X1)
                                                                                                                                                & ~ p28(X1) )
                                                                                                                                              | ( ~ p29(X1)
                                                                                                                                                & p28(X1) ) ) ) )
                                                                                                                                | ~ ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | ~ ( ( p28(X2)
                                                                                                                                            & ~ p27(X2) )
                                                                                                                                          | ( ~ p28(X2)
                                                                                                                                            & p27(X2) ) ) ) )
                                                                                                                            | ~ ! [X1] :
                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                  | ~ ( ( p27(X1)
                                                                                                                                        & ~ p26(X1) )
                                                                                                                                      | ( ~ p27(X1)
                                                                                                                                        & p26(X1) ) ) ) )
                                                                                                                        | ~ ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ~ ( ( p26(X2)
                                                                                                                                    & ~ p25(X2) )
                                                                                                                                  | ( ~ p26(X2)
                                                                                                                                    & p25(X2) ) ) ) )
                                                                                                                    | ~ ! [X1] :
                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                          | ~ ( ( p25(X1)
                                                                                                                                & ~ p24(X1) )
                                                                                                                              | ( ~ p25(X1)
                                                                                                                                & p24(X1) ) ) ) )
                                                                                                                | ~ ! [X2] :
                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                      | ~ ( ( p24(X2)
                                                                                                                            & ~ p23(X2) )
                                                                                                                          | ( ~ p24(X2)
                                                                                                                            & p23(X2) ) ) ) )
                                                                                                            | ~ ! [X1] :
                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                  | ~ ( ( p23(X1)
                                                                                                                        & ~ p22(X1) )
                                                                                                                      | ( ~ p23(X1)
                                                                                                                        & p22(X1) ) ) ) )
                                                                                                        | ~ ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ ( ( p22(X2)
                                                                                                                    & ~ p21(X2) )
                                                                                                                  | ( ~ p22(X2)
                                                                                                                    & p21(X2) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ( p21(X1)
                                                                                                                & ~ p20(X1) )
                                                                                                              | ( ~ p21(X1)
                                                                                                                & p20(X1) ) ) ) )
                                                                                                | ~ ! [X2] :
                                                                                                      ( ~ r1(X1,X2)
                                                                                                      | ~ ( ( p20(X2)
                                                                                                            & ~ p19(X2) )
                                                                                                          | ( ~ p20(X2)
                                                                                                            & p19(X2) ) ) ) )
                                                                                            | ~ ! [X1] :
                                                                                                  ( ~ r1(X2,X1)
                                                                                                  | ~ ( ( p19(X1)
                                                                                                        & ~ p18(X1) )
                                                                                                      | ( ~ p19(X1)
                                                                                                        & p18(X1) ) ) ) )
                                                                                        | ~ ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ~ ( ( p18(X2)
                                                                                                    & ~ p17(X2) )
                                                                                                  | ( ~ p18(X2)
                                                                                                    & p17(X2) ) ) ) )
                                                                                    | ~ ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ~ ( ( p17(X1)
                                                                                                & ~ p16(X1) )
                                                                                              | ( ~ p17(X1)
                                                                                                & p16(X1) ) ) ) )
                                                                                | ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ ( ( p16(X2)
                                                                                            & ~ p15(X2) )
                                                                                          | ( ~ p16(X2)
                                                                                            & p15(X2) ) ) ) )
                                                                            | ~ ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ~ ( ( p15(X1)
                                                                                        & ~ p14(X1) )
                                                                                      | ( ~ p15(X1)
                                                                                        & p14(X1) ) ) ) )
                                                                        | ~ ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ ( ( p14(X2)
                                                                                    & ~ p13(X2) )
                                                                                  | ( ~ p14(X2)
                                                                                    & p13(X2) ) ) ) )
                                                                    | ~ ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( p13(X1)
                                                                                & ~ p12(X1) )
                                                                              | ( ~ p13(X1)
                                                                                & p12(X1) ) ) ) )
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ( ( p12(X2)
                                                                            & ~ p11(X2) )
                                                                          | ( ~ p12(X2)
                                                                            & p11(X2) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ( p11(X1)
                                                                        & ~ p10(X1) )
                                                                      | ( ~ p11(X1)
                                                                        & p10(X1) ) ) ) )
                                                        | ~ ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ~ ( ( p10(X2)
                                                                    & ~ p9(X2) )
                                                                  | ( ~ p10(X2)
                                                                    & p9(X2) ) ) ) )
                                                    | ~ ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ( ( p9(X1)
                                                                & ~ p8(X1) )
                                                              | ( ~ p9(X1)
                                                                & p8(X1) ) ) ) )
                                                | ~ ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ( ( p8(X2)
                                                            & ~ p7(X2) )
                                                          | ( ~ p8(X2)
                                                            & p7(X2) ) ) ) )
                                            | ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ( p7(X1)
                                                        & ~ p6(X1) )
                                                      | ( ~ p7(X1)
                                                        & p6(X1) ) ) ) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ( p6(X2)
                                                    & ~ p5(X2) )
                                                  | ( ~ p6(X2)
                                                    & p5(X2) ) ) ) )
                                    | ~ ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( p5(X1)
                                                & ~ p4(X1) )
                                              | ( ~ p5(X1)
                                                & p4(X1) ) ) ) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ( p4(X2)
                                            & ~ p3(X2) )
                                          | ( ~ p4(X2)
                                            & p3(X2) ) ) ) )
                            | ~ ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ( ( p3(X1)
                                        & ~ p2(X1) )
                                      | ( ~ p3(X1)
                                        & p2(X1) ) ) ) )
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ( ( p2(X2)
                                    & ~ p1(X2) )
                                  | ( ~ p2(X2)
                                    & p1(X2) ) ) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | p60(X2) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ( ~ p58(X2)
                              & ~ p59(X2) )
                            | ( p59(X2)
                              & p58(X2) )
                            | ( ~ p57(X2)
                              & ~ p58(X2) )
                            | ( p58(X2)
                              & p57(X2) )
                            | ( ~ p56(X2)
                              & ~ p57(X2) )
                            | ( p57(X2)
                              & p56(X2) )
                            | ( ~ p55(X2)
                              & ~ p56(X2) )
                            | ( p56(X2)
                              & p55(X2) )
                            | ( ~ p54(X2)
                              & ~ p55(X2) )
                            | ( p55(X2)
                              & p54(X2) )
                            | ( ~ p53(X2)
                              & ~ p54(X2) )
                            | ( p54(X2)
                              & p53(X2) )
                            | ( ~ p52(X2)
                              & ~ p53(X2) )
                            | ( p53(X2)
                              & p52(X2) )
                            | ( ~ p51(X2)
                              & ~ p52(X2) )
                            | ( p52(X2)
                              & p51(X2) )
                            | ( ~ p50(X2)
                              & ~ p51(X2) )
                            | ( p51(X2)
                              & p50(X2) )
                            | ( ~ p49(X2)
                              & ~ p50(X2) )
                            | ( p50(X2)
                              & p49(X2) )
                            | ( ~ p48(X2)
                              & ~ p49(X2) )
                            | ( p49(X2)
                              & p48(X2) )
                            | ( ~ p47(X2)
                              & ~ p48(X2) )
                            | ( p48(X2)
                              & p47(X2) )
                            | ( ~ p46(X2)
                              & ~ p47(X2) )
                            | ( p47(X2)
                              & p46(X2) )
                            | ( ~ p45(X2)
                              & ~ p46(X2) )
                            | ( p46(X2)
                              & p45(X2) )
                            | ( ~ p44(X2)
                              & ~ p45(X2) )
                            | ( p45(X2)
                              & p44(X2) )
                            | ( ~ p43(X2)
                              & ~ p44(X2) )
                            | ( p44(X2)
                              & p43(X2) )
                            | ( ~ p42(X2)
                              & ~ p43(X2) )
                            | ( p43(X2)
                              & p42(X2) )
                            | ( ~ p41(X2)
                              & ~ p42(X2) )
                            | ( p42(X2)
                              & p41(X2) )
                            | ( ~ p40(X2)
                              & ~ p41(X2) )
                            | ( p41(X2)
                              & p40(X2) )
                            | ( ~ p39(X2)
                              & ~ p40(X2) )
                            | ( p40(X2)
                              & p39(X2) )
                            | ( ~ p38(X2)
                              & ~ p39(X2) )
                            | ( p39(X2)
                              & p38(X2) )
                            | ( ~ p37(X2)
                              & ~ p38(X2) )
                            | ( p38(X2)
                              & p37(X2) )
                            | ( ~ p36(X2)
                              & ~ p37(X2) )
                            | ( p37(X2)
                              & p36(X2) )
                            | ( ~ p35(X2)
                              & ~ p36(X2) )
                            | ( p36(X2)
                              & p35(X2) )
                            | ( ~ p34(X2)
                              & ~ p35(X2) )
                            | ( p35(X2)
                              & p34(X2) )
                            | ( ~ p33(X2)
                              & ~ p34(X2) )
                            | ( p34(X2)
                              & p33(X2) )
                            | ( ~ p32(X2)
                              & ~ p33(X2) )
                            | ( p33(X2)
                              & p32(X2) )
                            | ( ~ p31(X2)
                              & ~ p32(X2) )
                            | ( p32(X2)
                              & p31(X2) )
                            | ( ~ p30(X2)
                              & ~ p31(X2) )
                            | ( p31(X2)
                              & p30(X2) )
                            | ( ~ p29(X2)
                              & ~ p30(X2) )
                            | ( p30(X2)
                              & p29(X2) )
                            | ( ~ p28(X2)
                              & ~ p29(X2) )
                            | ( p29(X2)
                              & p28(X2) )
                            | ( ~ p27(X2)
                              & ~ p28(X2) )
                            | ( p28(X2)
                              & p27(X2) )
                            | ( ~ p26(X2)
                              & ~ p27(X2) )
                            | ( p27(X2)
                              & p26(X2) )
                            | ( ~ p25(X2)
                              & ~ p26(X2) )
                            | ( p26(X2)
                              & p25(X2) )
                            | ( ~ p24(X2)
                              & ~ p25(X2) )
                            | ( p25(X2)
                              & p24(X2) )
                            | ( ~ p23(X2)
                              & ~ p24(X2) )
                            | ( p24(X2)
                              & p23(X2) )
                            | ( ~ p22(X2)
                              & ~ p23(X2) )
                            | ( p23(X2)
                              & p22(X2) )
                            | ( ~ p21(X2)
                              & ~ p22(X2) )
                            | ( p22(X2)
                              & p21(X2) )
                            | ( ~ p20(X2)
                              & ~ p21(X2) )
                            | ( p21(X2)
                              & p20(X2) )
                            | ( ~ p19(X2)
                              & ~ p20(X2) )
                            | ( p20(X2)
                              & p19(X2) )
                            | ( ~ p18(X2)
                              & ~ p19(X2) )
                            | ( p19(X2)
                              & p18(X2) )
                            | ( ~ p17(X2)
                              & ~ p18(X2) )
                            | ( p18(X2)
                              & p17(X2) )
                            | ( ~ p16(X2)
                              & ~ p17(X2) )
                            | ( p17(X2)
                              & p16(X2) )
                            | ( ~ p15(X2)
                              & ~ p16(X2) )
                            | ( p16(X2)
                              & p15(X2) )
                            | ( ~ p14(X2)
                              & ~ p15(X2) )
                            | ( p15(X2)
                              & p14(X2) )
                            | ( ~ p13(X2)
                              & ~ p14(X2) )
                            | ( p14(X2)
                              & p13(X2) )
                            | ( ~ p12(X2)
                              & ~ p13(X2) )
                            | ( p13(X2)
                              & p12(X2) )
                            | ( ~ p11(X2)
                              & ~ p12(X2) )
                            | ( p12(X2)
                              & p11(X2) )
                            | ( ~ p10(X2)
                              & ~ p11(X2) )
                            | ( p11(X2)
                              & p10(X2) )
                            | ( ~ p9(X2)
                              & ~ p10(X2) )
                            | ( p10(X2)
                              & p9(X2) )
                            | ( ~ p8(X2)
                              & ~ p9(X2) )
                            | ( p9(X2)
                              & p8(X2) )
                            | ( ~ p7(X2)
                              & ~ p8(X2) )
                            | ( p8(X2)
                              & p7(X2) )
                            | ( ~ p6(X2)
                              & ~ p7(X2) )
                            | ( p7(X2)
                              & p6(X2) )
                            | ( ~ p5(X2)
                              & ~ p6(X2) )
                            | ( p6(X2)
                              & p5(X2) )
                            | ( ~ p4(X2)
                              & ~ p5(X2) )
                            | ( p5(X2)
                              & p4(X2) )
                            | ( ~ p3(X2)
                              & ~ p4(X2) )
                            | ( p4(X2)
                              & p3(X2) )
                            | ( ~ p2(X2)
                              & ~ p3(X2) )
                            | ( p3(X2)
                              & p2(X2) )
                            | ( ~ p1(X2)
                              & ~ p2(X2) )
                            | ( p2(X2)
                              & p1(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(c_0_2,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ! [X1] :
                                                                                                  ( ~ r1(X2,X1)
                                                                                                  | ! [X2] :
                                                                                                      ( ~ r1(X1,X2)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ! [X1] :
                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                  | ! [X2] :
                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                      | ! [X1] :
                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                          | ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ! [X1] :
                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                  | ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | ! [X1] :
                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                          | ! [X2] :
                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                              | ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ! [X1] :
                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                          | ! [X2] :
                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                              | ! [X1] :
                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                                                              | ! [X1] : ~ r1(X2,X1)
                                                                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                    | ~ ( ( p59(X1)
                                                                                                                                                                                                                                                          & ~ p58(X1) )
                                                                                                                                                                                                                                                        | ( ~ p59(X1)
                                                                                                                                                                                                                                                          & p58(X1) ) ) ) )
                                                                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                                                                | ~ ( ( p58(X2)
                                                                                                                                                                                                                                                      & ~ p57(X2) )
                                                                                                                                                                                                                                                    | ( ~ p58(X2)
                                                                                                                                                                                                                                                      & p57(X2) ) ) ) )
                                                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                                            | ~ ( ( p57(X1)
                                                                                                                                                                                                                                                  & ~ p56(X1) )
                                                                                                                                                                                                                                                | ( ~ p57(X1)
                                                                                                                                                                                                                                                  & p56(X1) ) ) ) )
                                                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                                        | ~ ( ( p56(X2)
                                                                                                                                                                                                                                              & ~ p55(X2) )
                                                                                                                                                                                                                                            | ( ~ p56(X2)
                                                                                                                                                                                                                                              & p55(X2) ) ) ) )
                                                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                                                    | ~ ( ( p55(X1)
                                                                                                                                                                                                                                          & ~ p54(X1) )
                                                                                                                                                                                                                                        | ( ~ p55(X1)
                                                                                                                                                                                                                                          & p54(X1) ) ) ) )
                                                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                                                | ~ ( ( p54(X2)
                                                                                                                                                                                                                                      & ~ p53(X2) )
                                                                                                                                                                                                                                    | ( ~ p54(X2)
                                                                                                                                                                                                                                      & p53(X2) ) ) ) )
                                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                            | ~ ( ( p53(X1)
                                                                                                                                                                                                                                  & ~ p52(X1) )
                                                                                                                                                                                                                                | ( ~ p53(X1)
                                                                                                                                                                                                                                  & p52(X1) ) ) ) )
                                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ~ ( ( p52(X2)
                                                                                                                                                                                                                              & ~ p51(X2) )
                                                                                                                                                                                                                            | ( ~ p52(X2)
                                                                                                                                                                                                                              & p51(X2) ) ) ) )
                                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                                    | ~ ( ( p51(X1)
                                                                                                                                                                                                                          & ~ p50(X1) )
                                                                                                                                                                                                                        | ( ~ p51(X1)
                                                                                                                                                                                                                          & p50(X1) ) ) ) )
                                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                                | ~ ( ( p50(X2)
                                                                                                                                                                                                                      & ~ p49(X2) )
                                                                                                                                                                                                                    | ( ~ p50(X2)
                                                                                                                                                                                                                      & p49(X2) ) ) ) )
                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                            | ~ ( ( p49(X1)
                                                                                                                                                                                                                  & ~ p48(X1) )
                                                                                                                                                                                                                | ( ~ p49(X1)
                                                                                                                                                                                                                  & p48(X1) ) ) ) )
                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                        | ~ ( ( p48(X2)
                                                                                                                                                                                                              & ~ p47(X2) )
                                                                                                                                                                                                            | ( ~ p48(X2)
                                                                                                                                                                                                              & p47(X2) ) ) ) )
                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                    | ~ ( ( p47(X1)
                                                                                                                                                                                                          & ~ p46(X1) )
                                                                                                                                                                                                        | ( ~ p47(X1)
                                                                                                                                                                                                          & p46(X1) ) ) ) )
                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                | ~ ( ( p46(X2)
                                                                                                                                                                                                      & ~ p45(X2) )
                                                                                                                                                                                                    | ( ~ p46(X2)
                                                                                                                                                                                                      & p45(X2) ) ) ) )
                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                            | ~ ( ( p45(X1)
                                                                                                                                                                                                  & ~ p44(X1) )
                                                                                                                                                                                                | ( ~ p45(X1)
                                                                                                                                                                                                  & p44(X1) ) ) ) )
                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                        | ~ ( ( p44(X2)
                                                                                                                                                                                              & ~ p43(X2) )
                                                                                                                                                                                            | ( ~ p44(X2)
                                                                                                                                                                                              & p43(X2) ) ) ) )
                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | ~ ( ( p43(X1)
                                                                                                                                                                                          & ~ p42(X1) )
                                                                                                                                                                                        | ( ~ p43(X1)
                                                                                                                                                                                          & p42(X1) ) ) ) )
                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ( ( p42(X2)
                                                                                                                                                                                      & ~ p41(X2) )
                                                                                                                                                                                    | ( ~ p42(X2)
                                                                                                                                                                                      & p41(X2) ) ) ) )
                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                            | ~ ( ( p41(X1)
                                                                                                                                                                                  & ~ p40(X1) )
                                                                                                                                                                                | ( ~ p41(X1)
                                                                                                                                                                                  & p40(X1) ) ) ) )
                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                        | ~ ( ( p40(X2)
                                                                                                                                                                              & ~ p39(X2) )
                                                                                                                                                                            | ( ~ p40(X2)
                                                                                                                                                                              & p39(X2) ) ) ) )
                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                    | ~ ( ( p39(X1)
                                                                                                                                                                          & ~ p38(X1) )
                                                                                                                                                                        | ( ~ p39(X1)
                                                                                                                                                                          & p38(X1) ) ) ) )
                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                | ~ ( ( p38(X2)
                                                                                                                                                                      & ~ p37(X2) )
                                                                                                                                                                    | ( ~ p38(X2)
                                                                                                                                                                      & p37(X2) ) ) ) )
                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                            | ~ ( ( p37(X1)
                                                                                                                                                                  & ~ p36(X1) )
                                                                                                                                                                | ( ~ p37(X1)
                                                                                                                                                                  & p36(X1) ) ) ) )
                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                        | ~ ( ( p36(X2)
                                                                                                                                                              & ~ p35(X2) )
                                                                                                                                                            | ( ~ p36(X2)
                                                                                                                                                              & p35(X2) ) ) ) )
                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                    | ~ ( ( p35(X1)
                                                                                                                                                          & ~ p34(X1) )
                                                                                                                                                        | ( ~ p35(X1)
                                                                                                                                                          & p34(X1) ) ) ) )
                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                | ~ ( ( p34(X2)
                                                                                                                                                      & ~ p33(X2) )
                                                                                                                                                    | ( ~ p34(X2)
                                                                                                                                                      & p33(X2) ) ) ) )
                                                                                                                                      | ~ ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ ( ( p33(X1)
                                                                                                                                                  & ~ p32(X1) )
                                                                                                                                                | ( ~ p33(X1)
                                                                                                                                                  & p32(X1) ) ) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ( p32(X2)
                                                                                                                                              & ~ p31(X2) )
                                                                                                                                            | ( ~ p32(X2)
                                                                                                                                              & p31(X2) ) ) ) )
                                                                                                                              | ~ ! [X1] :
                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                    | ~ ( ( p31(X1)
                                                                                                                                          & ~ p30(X1) )
                                                                                                                                        | ( ~ p31(X1)
                                                                                                                                          & p30(X1) ) ) ) )
                                                                                                                          | ~ ! [X2] :
                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                | ~ ( ( p30(X2)
                                                                                                                                      & ~ p29(X2) )
                                                                                                                                    | ( ~ p30(X2)
                                                                                                                                      & p29(X2) ) ) ) )
                                                                                                                      | ~ ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | ~ ( ( p29(X1)
                                                                                                                                  & ~ p28(X1) )
                                                                                                                                | ( ~ p29(X1)
                                                                                                                                  & p28(X1) ) ) ) )
                                                                                                                  | ~ ! [X2] :
                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                        | ~ ( ( p28(X2)
                                                                                                                              & ~ p27(X2) )
                                                                                                                            | ( ~ p28(X2)
                                                                                                                              & p27(X2) ) ) ) )
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ~ ( ( p27(X1)
                                                                                                                          & ~ p26(X1) )
                                                                                                                        | ( ~ p27(X1)
                                                                                                                          & p26(X1) ) ) ) )
                                                                                                          | ~ ! [X2] :
                                                                                                                ( ~ r1(X1,X2)
                                                                                                                | ~ ( ( p26(X2)
                                                                                                                      & ~ p25(X2) )
                                                                                                                    | ( ~ p26(X2)
                                                                                                                      & p25(X2) ) ) ) )
                                                                                                      | ~ ! [X1] :
                                                                                                            ( ~ r1(X2,X1)
                                                                                                            | ~ ( ( p25(X1)
                                                                                                                  & ~ p24(X1) )
                                                                                                                | ( ~ p25(X1)
                                                                                                                  & p24(X1) ) ) ) )
                                                                                                  | ~ ! [X2] :
                                                                                                        ( ~ r1(X1,X2)
                                                                                                        | ~ ( ( p24(X2)
                                                                                                              & ~ p23(X2) )
                                                                                                            | ( ~ p24(X2)
                                                                                                              & p23(X2) ) ) ) )
                                                                                              | ~ ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ( ( p23(X1)
                                                                                                          & ~ p22(X1) )
                                                                                                        | ( ~ p23(X1)
                                                                                                          & p22(X1) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ( p22(X2)
                                                                                                      & ~ p21(X2) )
                                                                                                    | ( ~ p22(X2)
                                                                                                      & p21(X2) ) ) ) )
                                                                                      | ~ ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ~ ( ( p21(X1)
                                                                                                  & ~ p20(X1) )
                                                                                                | ( ~ p21(X1)
                                                                                                  & p20(X1) ) ) ) )
                                                                                  | ~ ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ~ ( ( p20(X2)
                                                                                              & ~ p19(X2) )
                                                                                            | ( ~ p20(X2)
                                                                                              & p19(X2) ) ) ) )
                                                                              | ~ ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ( ( p19(X1)
                                                                                          & ~ p18(X1) )
                                                                                        | ( ~ p19(X1)
                                                                                          & p18(X1) ) ) ) )
                                                                          | ~ ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ~ ( ( p18(X2)
                                                                                      & ~ p17(X2) )
                                                                                    | ( ~ p18(X2)
                                                                                      & p17(X2) ) ) ) )
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ( ( p17(X1)
                                                                                  & ~ p16(X1) )
                                                                                | ( ~ p17(X1)
                                                                                  & p16(X1) ) ) ) )
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ~ ( ( p16(X2)
                                                                              & ~ p15(X2) )
                                                                            | ( ~ p16(X2)
                                                                              & p15(X2) ) ) ) )
                                                              | ~ ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ~ ( ( p15(X1)
                                                                          & ~ p14(X1) )
                                                                        | ( ~ p15(X1)
                                                                          & p14(X1) ) ) ) )
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p14(X2)
                                                                      & ~ p13(X2) )
                                                                    | ( ~ p14(X2)
                                                                      & p13(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p13(X1)
                                                                  & ~ p12(X1) )
                                                                | ( ~ p13(X1)
                                                                  & p12(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p12(X2)
                                                              & ~ p11(X2) )
                                                            | ( ~ p12(X2)
                                                              & p11(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p11(X1)
                                                          & ~ p10(X1) )
                                                        | ( ~ p11(X1)
                                                          & p10(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p10(X2)
                                                      & ~ p9(X2) )
                                                    | ( ~ p10(X2)
                                                      & p9(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p9(X1)
                                                  & ~ p8(X1) )
                                                | ( ~ p9(X1)
                                                  & p8(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p8(X2)
                                              & ~ p7(X2) )
                                            | ( ~ p8(X2)
                                              & p7(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p7(X1)
                                          & ~ p6(X1) )
                                        | ( ~ p7(X1)
                                          & p6(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p6(X2)
                                      & ~ p5(X2) )
                                    | ( ~ p6(X2)
                                      & p5(X2) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ( p5(X1)
                                  & ~ p4(X1) )
                                | ( ~ p5(X1)
                                  & p4(X1) ) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ( p4(X2)
                              & ~ p3(X2) )
                            | ( ~ p4(X2)
                              & p3(X2) ) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ( p3(X1)
                          & ~ p2(X1) )
                        | ( ~ p3(X1)
                          & p2(X1) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ( p2(X2)
                      & ~ p1(X2) )
                    | ( ~ p2(X2)
                      & p1(X2) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p60(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( ~ p58(X2)
                & ~ p59(X2) )
              | ( p59(X2)
                & p58(X2) )
              | ( ~ p57(X2)
                & ~ p58(X2) )
              | ( p58(X2)
                & p57(X2) )
              | ( ~ p56(X2)
                & ~ p57(X2) )
              | ( p57(X2)
                & p56(X2) )
              | ( ~ p55(X2)
                & ~ p56(X2) )
              | ( p56(X2)
                & p55(X2) )
              | ( ~ p54(X2)
                & ~ p55(X2) )
              | ( p55(X2)
                & p54(X2) )
              | ( ~ p53(X2)
                & ~ p54(X2) )
              | ( p54(X2)
                & p53(X2) )
              | ( ~ p52(X2)
                & ~ p53(X2) )
              | ( p53(X2)
                & p52(X2) )
              | ( ~ p51(X2)
                & ~ p52(X2) )
              | ( p52(X2)
                & p51(X2) )
              | ( ~ p50(X2)
                & ~ p51(X2) )
              | ( p51(X2)
                & p50(X2) )
              | ( ~ p49(X2)
                & ~ p50(X2) )
              | ( p50(X2)
                & p49(X2) )
              | ( ~ p48(X2)
                & ~ p49(X2) )
              | ( p49(X2)
                & p48(X2) )
              | ( ~ p47(X2)
                & ~ p48(X2) )
              | ( p48(X2)
                & p47(X2) )
              | ( ~ p46(X2)
                & ~ p47(X2) )
              | ( p47(X2)
                & p46(X2) )
              | ( ~ p45(X2)
                & ~ p46(X2) )
              | ( p46(X2)
                & p45(X2) )
              | ( ~ p44(X2)
                & ~ p45(X2) )
              | ( p45(X2)
                & p44(X2) )
              | ( ~ p43(X2)
                & ~ p44(X2) )
              | ( p44(X2)
                & p43(X2) )
              | ( ~ p42(X2)
                & ~ p43(X2) )
              | ( p43(X2)
                & p42(X2) )
              | ( ~ p41(X2)
                & ~ p42(X2) )
              | ( p42(X2)
                & p41(X2) )
              | ( ~ p40(X2)
                & ~ p41(X2) )
              | ( p41(X2)
                & p40(X2) )
              | ( ~ p39(X2)
                & ~ p40(X2) )
              | ( p40(X2)
                & p39(X2) )
              | ( ~ p38(X2)
                & ~ p39(X2) )
              | ( p39(X2)
                & p38(X2) )
              | ( ~ p37(X2)
                & ~ p38(X2) )
              | ( p38(X2)
                & p37(X2) )
              | ( ~ p36(X2)
                & ~ p37(X2) )
              | ( p37(X2)
                & p36(X2) )
              | ( ~ p35(X2)
                & ~ p36(X2) )
              | ( p36(X2)
                & p35(X2) )
              | ( ~ p34(X2)
                & ~ p35(X2) )
              | ( p35(X2)
                & p34(X2) )
              | ( ~ p33(X2)
                & ~ p34(X2) )
              | ( p34(X2)
                & p33(X2) )
              | ( ~ p32(X2)
                & ~ p33(X2) )
              | ( p33(X2)
                & p32(X2) )
              | ( ~ p31(X2)
                & ~ p32(X2) )
              | ( p32(X2)
                & p31(X2) )
              | ( ~ p30(X2)
                & ~ p31(X2) )
              | ( p31(X2)
                & p30(X2) )
              | ( ~ p29(X2)
                & ~ p30(X2) )
              | ( p30(X2)
                & p29(X2) )
              | ( ~ p28(X2)
                & ~ p29(X2) )
              | ( p29(X2)
                & p28(X2) )
              | ( ~ p27(X2)
                & ~ p28(X2) )
              | ( p28(X2)
                & p27(X2) )
              | ( ~ p26(X2)
                & ~ p27(X2) )
              | ( p27(X2)
                & p26(X2) )
              | ( ~ p25(X2)
                & ~ p26(X2) )
              | ( p26(X2)
                & p25(X2) )
              | ( ~ p24(X2)
                & ~ p25(X2) )
              | ( p25(X2)
                & p24(X2) )
              | ( ~ p23(X2)
                & ~ p24(X2) )
              | ( p24(X2)
                & p23(X2) )
              | ( ~ p22(X2)
                & ~ p23(X2) )
              | ( p23(X2)
                & p22(X2) )
              | ( ~ p21(X2)
                & ~ p22(X2) )
              | ( p22(X2)
                & p21(X2) )
              | ( ~ p20(X2)
                & ~ p21(X2) )
              | ( p21(X2)
                & p20(X2) )
              | ( ~ p19(X2)
                & ~ p20(X2) )
              | ( p20(X2)
                & p19(X2) )
              | ( ~ p18(X2)
                & ~ p19(X2) )
              | ( p19(X2)
                & p18(X2) )
              | ( ~ p17(X2)
                & ~ p18(X2) )
              | ( p18(X2)
                & p17(X2) )
              | ( ~ p16(X2)
                & ~ p17(X2) )
              | ( p17(X2)
                & p16(X2) )
              | ( ~ p15(X2)
                & ~ p16(X2) )
              | ( p16(X2)
                & p15(X2) )
              | ( ~ p14(X2)
                & ~ p15(X2) )
              | ( p15(X2)
                & p14(X2) )
              | ( ~ p13(X2)
                & ~ p14(X2) )
              | ( p14(X2)
                & p13(X2) )
              | ( ~ p12(X2)
                & ~ p13(X2) )
              | ( p13(X2)
                & p12(X2) )
              | ( ~ p11(X2)
                & ~ p12(X2) )
              | ( p12(X2)
                & p11(X2) )
              | ( ~ p10(X2)
                & ~ p11(X2) )
              | ( p11(X2)
                & p10(X2) )
              | ( ~ p9(X2)
                & ~ p10(X2) )
              | ( p10(X2)
                & p9(X2) )
              | ( ~ p8(X2)
                & ~ p9(X2) )
              | ( p9(X2)
                & p8(X2) )
              | ( ~ p7(X2)
                & ~ p8(X2) )
              | ( p8(X2)
                & p7(X2) )
              | ( ~ p6(X2)
                & ~ p7(X2) )
              | ( p7(X2)
                & p6(X2) )
              | ( ~ p5(X2)
                & ~ p6(X2) )
              | ( p6(X2)
                & p5(X2) )
              | ( ~ p4(X2)
                & ~ p5(X2) )
              | ( p5(X2)
                & p4(X2) )
              | ( ~ p3(X2)
                & ~ p4(X2) )
              | ( p4(X2)
                & p3(X2) )
              | ( ~ p2(X2)
                & ~ p3(X2) )
              | ( p3(X2)
                & p2(X2) )
              | ( ~ p1(X2)
                & ~ p2(X2) )
              | ( p2(X2)
                & p1(X2) ) ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ! [X1] :
                                                                                                  ( ~ r1(X2,X1)
                                                                                                  | ! [X2] :
                                                                                                      ( ~ r1(X1,X2)
                                                                                                      | ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ! [X1] :
                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                  | ! [X2] :
                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                      | ! [X1] :
                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                          | ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ! [X1] :
                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                  | ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | ! [X1] :
                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                          | ! [X2] :
                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                              | ! [X1] :
                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                      | ! [X1] :
                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                          | ! [X2] :
                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                              | ! [X1] :
                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                                                                                                                                              | ! [X1] : ~ r1(X2,X1)
                                                                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                                                                    | ~ ( ( p59(X1)
                                                                                                                                                                                                                                                          & ~ p58(X1) )
                                                                                                                                                                                                                                                        | ( ~ p59(X1)
                                                                                                                                                                                                                                                          & p58(X1) ) ) ) )
                                                                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                                                                | ~ ( ( p58(X2)
                                                                                                                                                                                                                                                      & ~ p57(X2) )
                                                                                                                                                                                                                                                    | ( ~ p58(X2)
                                                                                                                                                                                                                                                      & p57(X2) ) ) ) )
                                                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                                            | ~ ( ( p57(X1)
                                                                                                                                                                                                                                                  & ~ p56(X1) )
                                                                                                                                                                                                                                                | ( ~ p57(X1)
                                                                                                                                                                                                                                                  & p56(X1) ) ) ) )
                                                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                                        | ~ ( ( p56(X2)
                                                                                                                                                                                                                                              & ~ p55(X2) )
                                                                                                                                                                                                                                            | ( ~ p56(X2)
                                                                                                                                                                                                                                              & p55(X2) ) ) ) )
                                                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                                                    | ~ ( ( p55(X1)
                                                                                                                                                                                                                                          & ~ p54(X1) )
                                                                                                                                                                                                                                        | ( ~ p55(X1)
                                                                                                                                                                                                                                          & p54(X1) ) ) ) )
                                                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                                                | ~ ( ( p54(X2)
                                                                                                                                                                                                                                      & ~ p53(X2) )
                                                                                                                                                                                                                                    | ( ~ p54(X2)
                                                                                                                                                                                                                                      & p53(X2) ) ) ) )
                                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                                            | ~ ( ( p53(X1)
                                                                                                                                                                                                                                  & ~ p52(X1) )
                                                                                                                                                                                                                                | ( ~ p53(X1)
                                                                                                                                                                                                                                  & p52(X1) ) ) ) )
                                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                                        | ~ ( ( p52(X2)
                                                                                                                                                                                                                              & ~ p51(X2) )
                                                                                                                                                                                                                            | ( ~ p52(X2)
                                                                                                                                                                                                                              & p51(X2) ) ) ) )
                                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                                    | ~ ( ( p51(X1)
                                                                                                                                                                                                                          & ~ p50(X1) )
                                                                                                                                                                                                                        | ( ~ p51(X1)
                                                                                                                                                                                                                          & p50(X1) ) ) ) )
                                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                                | ~ ( ( p50(X2)
                                                                                                                                                                                                                      & ~ p49(X2) )
                                                                                                                                                                                                                    | ( ~ p50(X2)
                                                                                                                                                                                                                      & p49(X2) ) ) ) )
                                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                                            | ~ ( ( p49(X1)
                                                                                                                                                                                                                  & ~ p48(X1) )
                                                                                                                                                                                                                | ( ~ p49(X1)
                                                                                                                                                                                                                  & p48(X1) ) ) ) )
                                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                                        | ~ ( ( p48(X2)
                                                                                                                                                                                                              & ~ p47(X2) )
                                                                                                                                                                                                            | ( ~ p48(X2)
                                                                                                                                                                                                              & p47(X2) ) ) ) )
                                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                                    | ~ ( ( p47(X1)
                                                                                                                                                                                                          & ~ p46(X1) )
                                                                                                                                                                                                        | ( ~ p47(X1)
                                                                                                                                                                                                          & p46(X1) ) ) ) )
                                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                                | ~ ( ( p46(X2)
                                                                                                                                                                                                      & ~ p45(X2) )
                                                                                                                                                                                                    | ( ~ p46(X2)
                                                                                                                                                                                                      & p45(X2) ) ) ) )
                                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                                            | ~ ( ( p45(X1)
                                                                                                                                                                                                  & ~ p44(X1) )
                                                                                                                                                                                                | ( ~ p45(X1)
                                                                                                                                                                                                  & p44(X1) ) ) ) )
                                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                                        | ~ ( ( p44(X2)
                                                                                                                                                                                              & ~ p43(X2) )
                                                                                                                                                                                            | ( ~ p44(X2)
                                                                                                                                                                                              & p43(X2) ) ) ) )
                                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                                    | ~ ( ( p43(X1)
                                                                                                                                                                                          & ~ p42(X1) )
                                                                                                                                                                                        | ( ~ p43(X1)
                                                                                                                                                                                          & p42(X1) ) ) ) )
                                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                                | ~ ( ( p42(X2)
                                                                                                                                                                                      & ~ p41(X2) )
                                                                                                                                                                                    | ( ~ p42(X2)
                                                                                                                                                                                      & p41(X2) ) ) ) )
                                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                                            | ~ ( ( p41(X1)
                                                                                                                                                                                  & ~ p40(X1) )
                                                                                                                                                                                | ( ~ p41(X1)
                                                                                                                                                                                  & p40(X1) ) ) ) )
                                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                                        | ~ ( ( p40(X2)
                                                                                                                                                                              & ~ p39(X2) )
                                                                                                                                                                            | ( ~ p40(X2)
                                                                                                                                                                              & p39(X2) ) ) ) )
                                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                                    | ~ ( ( p39(X1)
                                                                                                                                                                          & ~ p38(X1) )
                                                                                                                                                                        | ( ~ p39(X1)
                                                                                                                                                                          & p38(X1) ) ) ) )
                                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                                | ~ ( ( p38(X2)
                                                                                                                                                                      & ~ p37(X2) )
                                                                                                                                                                    | ( ~ p38(X2)
                                                                                                                                                                      & p37(X2) ) ) ) )
                                                                                                                                                      | ~ ! [X1] :
                                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                                            | ~ ( ( p37(X1)
                                                                                                                                                                  & ~ p36(X1) )
                                                                                                                                                                | ( ~ p37(X1)
                                                                                                                                                                  & p36(X1) ) ) ) )
                                                                                                                                                  | ~ ! [X2] :
                                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                                        | ~ ( ( p36(X2)
                                                                                                                                                              & ~ p35(X2) )
                                                                                                                                                            | ( ~ p36(X2)
                                                                                                                                                              & p35(X2) ) ) ) )
                                                                                                                                              | ~ ! [X1] :
                                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                                    | ~ ( ( p35(X1)
                                                                                                                                                          & ~ p34(X1) )
                                                                                                                                                        | ( ~ p35(X1)
                                                                                                                                                          & p34(X1) ) ) ) )
                                                                                                                                          | ~ ! [X2] :
                                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                                | ~ ( ( p34(X2)
                                                                                                                                                      & ~ p33(X2) )
                                                                                                                                                    | ( ~ p34(X2)
                                                                                                                                                      & p33(X2) ) ) ) )
                                                                                                                                      | ~ ! [X1] :
                                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                                            | ~ ( ( p33(X1)
                                                                                                                                                  & ~ p32(X1) )
                                                                                                                                                | ( ~ p33(X1)
                                                                                                                                                  & p32(X1) ) ) ) )
                                                                                                                                  | ~ ! [X2] :
                                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                                        | ~ ( ( p32(X2)
                                                                                                                                              & ~ p31(X2) )
                                                                                                                                            | ( ~ p32(X2)
                                                                                                                                              & p31(X2) ) ) ) )
                                                                                                                              | ~ ! [X1] :
                                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                                    | ~ ( ( p31(X1)
                                                                                                                                          & ~ p30(X1) )
                                                                                                                                        | ( ~ p31(X1)
                                                                                                                                          & p30(X1) ) ) ) )
                                                                                                                          | ~ ! [X2] :
                                                                                                                                ( ~ r1(X1,X2)
                                                                                                                                | ~ ( ( p30(X2)
                                                                                                                                      & ~ p29(X2) )
                                                                                                                                    | ( ~ p30(X2)
                                                                                                                                      & p29(X2) ) ) ) )
                                                                                                                      | ~ ! [X1] :
                                                                                                                            ( ~ r1(X2,X1)
                                                                                                                            | ~ ( ( p29(X1)
                                                                                                                                  & ~ p28(X1) )
                                                                                                                                | ( ~ p29(X1)
                                                                                                                                  & p28(X1) ) ) ) )
                                                                                                                  | ~ ! [X2] :
                                                                                                                        ( ~ r1(X1,X2)
                                                                                                                        | ~ ( ( p28(X2)
                                                                                                                              & ~ p27(X2) )
                                                                                                                            | ( ~ p28(X2)
                                                                                                                              & p27(X2) ) ) ) )
                                                                                                              | ~ ! [X1] :
                                                                                                                    ( ~ r1(X2,X1)
                                                                                                                    | ~ ( ( p27(X1)
                                                                                                                          & ~ p26(X1) )
                                                                                                                        | ( ~ p27(X1)
                                                                                                                          & p26(X1) ) ) ) )
                                                                                                          | ~ ! [X2] :
                                                                                                                ( ~ r1(X1,X2)
                                                                                                                | ~ ( ( p26(X2)
                                                                                                                      & ~ p25(X2) )
                                                                                                                    | ( ~ p26(X2)
                                                                                                                      & p25(X2) ) ) ) )
                                                                                                      | ~ ! [X1] :
                                                                                                            ( ~ r1(X2,X1)
                                                                                                            | ~ ( ( p25(X1)
                                                                                                                  & ~ p24(X1) )
                                                                                                                | ( ~ p25(X1)
                                                                                                                  & p24(X1) ) ) ) )
                                                                                                  | ~ ! [X2] :
                                                                                                        ( ~ r1(X1,X2)
                                                                                                        | ~ ( ( p24(X2)
                                                                                                              & ~ p23(X2) )
                                                                                                            | ( ~ p24(X2)
                                                                                                              & p23(X2) ) ) ) )
                                                                                              | ~ ! [X1] :
                                                                                                    ( ~ r1(X2,X1)
                                                                                                    | ~ ( ( p23(X1)
                                                                                                          & ~ p22(X1) )
                                                                                                        | ( ~ p23(X1)
                                                                                                          & p22(X1) ) ) ) )
                                                                                          | ~ ! [X2] :
                                                                                                ( ~ r1(X1,X2)
                                                                                                | ~ ( ( p22(X2)
                                                                                                      & ~ p21(X2) )
                                                                                                    | ( ~ p22(X2)
                                                                                                      & p21(X2) ) ) ) )
                                                                                      | ~ ! [X1] :
                                                                                            ( ~ r1(X2,X1)
                                                                                            | ~ ( ( p21(X1)
                                                                                                  & ~ p20(X1) )
                                                                                                | ( ~ p21(X1)
                                                                                                  & p20(X1) ) ) ) )
                                                                                  | ~ ! [X2] :
                                                                                        ( ~ r1(X1,X2)
                                                                                        | ~ ( ( p20(X2)
                                                                                              & ~ p19(X2) )
                                                                                            | ( ~ p20(X2)
                                                                                              & p19(X2) ) ) ) )
                                                                              | ~ ! [X1] :
                                                                                    ( ~ r1(X2,X1)
                                                                                    | ~ ( ( p19(X1)
                                                                                          & ~ p18(X1) )
                                                                                        | ( ~ p19(X1)
                                                                                          & p18(X1) ) ) ) )
                                                                          | ~ ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ~ ( ( p18(X2)
                                                                                      & ~ p17(X2) )
                                                                                    | ( ~ p18(X2)
                                                                                      & p17(X2) ) ) ) )
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ( ( p17(X1)
                                                                                  & ~ p16(X1) )
                                                                                | ( ~ p17(X1)
                                                                                  & p16(X1) ) ) ) )
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ~ ( ( p16(X2)
                                                                              & ~ p15(X2) )
                                                                            | ( ~ p16(X2)
                                                                              & p15(X2) ) ) ) )
                                                              | ~ ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ~ ( ( p15(X1)
                                                                          & ~ p14(X1) )
                                                                        | ( ~ p15(X1)
                                                                          & p14(X1) ) ) ) )
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p14(X2)
                                                                      & ~ p13(X2) )
                                                                    | ( ~ p14(X2)
                                                                      & p13(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p13(X1)
                                                                  & ~ p12(X1) )
                                                                | ( ~ p13(X1)
                                                                  & p12(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p12(X2)
                                                              & ~ p11(X2) )
                                                            | ( ~ p12(X2)
                                                              & p11(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p11(X1)
                                                          & ~ p10(X1) )
                                                        | ( ~ p11(X1)
                                                          & p10(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p10(X2)
                                                      & ~ p9(X2) )
                                                    | ( ~ p10(X2)
                                                      & p9(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p9(X1)
                                                  & ~ p8(X1) )
                                                | ( ~ p9(X1)
                                                  & p8(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p8(X2)
                                              & ~ p7(X2) )
                                            | ( ~ p8(X2)
                                              & p7(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p7(X1)
                                          & ~ p6(X1) )
                                        | ( ~ p7(X1)
                                          & p6(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p6(X2)
                                      & ~ p5(X2) )
                                    | ( ~ p6(X2)
                                      & p5(X2) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ( p5(X1)
                                  & ~ p4(X1) )
                                | ( ~ p5(X1)
                                  & p4(X1) ) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ( p4(X2)
                              & ~ p3(X2) )
                            | ( ~ p4(X2)
                              & p3(X2) ) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ( p3(X1)
                          & ~ p2(X1) )
                        | ( ~ p3(X1)
                          & p2(X1) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ( p2(X2)
                      & ~ p1(X2) )
                    | ( ~ p2(X2)
                      & p1(X2) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p60(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( ~ p58(X2)
                & ~ p59(X2) )
              | ( p59(X2)
                & p58(X2) )
              | ( ~ p57(X2)
                & ~ p58(X2) )
              | ( p58(X2)
                & p57(X2) )
              | ( ~ p56(X2)
                & ~ p57(X2) )
              | ( p57(X2)
                & p56(X2) )
              | ( ~ p55(X2)
                & ~ p56(X2) )
              | ( p56(X2)
                & p55(X2) )
              | ( ~ p54(X2)
                & ~ p55(X2) )
              | ( p55(X2)
                & p54(X2) )
              | ( ~ p53(X2)
                & ~ p54(X2) )
              | ( p54(X2)
                & p53(X2) )
              | ( ~ p52(X2)
                & ~ p53(X2) )
              | ( p53(X2)
                & p52(X2) )
              | ( ~ p51(X2)
                & ~ p52(X2) )
              | ( p52(X2)
                & p51(X2) )
              | ( ~ p50(X2)
                & ~ p51(X2) )
              | ( p51(X2)
                & p50(X2) )
              | ( ~ p49(X2)
                & ~ p50(X2) )
              | ( p50(X2)
                & p49(X2) )
              | ( ~ p48(X2)
                & ~ p49(X2) )
              | ( p49(X2)
                & p48(X2) )
              | ( ~ p47(X2)
                & ~ p48(X2) )
              | ( p48(X2)
                & p47(X2) )
              | ( ~ p46(X2)
                & ~ p47(X2) )
              | ( p47(X2)
                & p46(X2) )
              | ( ~ p45(X2)
                & ~ p46(X2) )
              | ( p46(X2)
                & p45(X2) )
              | ( ~ p44(X2)
                & ~ p45(X2) )
              | ( p45(X2)
                & p44(X2) )
              | ( ~ p43(X2)
                & ~ p44(X2) )
              | ( p44(X2)
                & p43(X2) )
              | ( ~ p42(X2)
                & ~ p43(X2) )
              | ( p43(X2)
                & p42(X2) )
              | ( ~ p41(X2)
                & ~ p42(X2) )
              | ( p42(X2)
                & p41(X2) )
              | ( ~ p40(X2)
                & ~ p41(X2) )
              | ( p41(X2)
                & p40(X2) )
              | ( ~ p39(X2)
                & ~ p40(X2) )
              | ( p40(X2)
                & p39(X2) )
              | ( ~ p38(X2)
                & ~ p39(X2) )
              | ( p39(X2)
                & p38(X2) )
              | ( ~ p37(X2)
                & ~ p38(X2) )
              | ( p38(X2)
                & p37(X2) )
              | ( ~ p36(X2)
                & ~ p37(X2) )
              | ( p37(X2)
                & p36(X2) )
              | ( ~ p35(X2)
                & ~ p36(X2) )
              | ( p36(X2)
                & p35(X2) )
              | ( ~ p34(X2)
                & ~ p35(X2) )
              | ( p35(X2)
                & p34(X2) )
              | ( ~ p33(X2)
                & ~ p34(X2) )
              | ( p34(X2)
                & p33(X2) )
              | ( ~ p32(X2)
                & ~ p33(X2) )
              | ( p33(X2)
                & p32(X2) )
              | ( ~ p31(X2)
                & ~ p32(X2) )
              | ( p32(X2)
                & p31(X2) )
              | ( ~ p30(X2)
                & ~ p31(X2) )
              | ( p31(X2)
                & p30(X2) )
              | ( ~ p29(X2)
                & ~ p30(X2) )
              | ( p30(X2)
                & p29(X2) )
              | ( ~ p28(X2)
                & ~ p29(X2) )
              | ( p29(X2)
                & p28(X2) )
              | ( ~ p27(X2)
                & ~ p28(X2) )
              | ( p28(X2)
                & p27(X2) )
              | ( ~ p26(X2)
                & ~ p27(X2) )
              | ( p27(X2)
                & p26(X2) )
              | ( ~ p25(X2)
                & ~ p26(X2) )
              | ( p26(X2)
                & p25(X2) )
              | ( ~ p24(X2)
                & ~ p25(X2) )
              | ( p25(X2)
                & p24(X2) )
              | ( ~ p23(X2)
                & ~ p24(X2) )
              | ( p24(X2)
                & p23(X2) )
              | ( ~ p22(X2)
                & ~ p23(X2) )
              | ( p23(X2)
                & p22(X2) )
              | ( ~ p21(X2)
                & ~ p22(X2) )
              | ( p22(X2)
                & p21(X2) )
              | ( ~ p20(X2)
                & ~ p21(X2) )
              | ( p21(X2)
                & p20(X2) )
              | ( ~ p19(X2)
                & ~ p20(X2) )
              | ( p20(X2)
                & p19(X2) )
              | ( ~ p18(X2)
                & ~ p19(X2) )
              | ( p19(X2)
                & p18(X2) )
              | ( ~ p17(X2)
                & ~ p18(X2) )
              | ( p18(X2)
                & p17(X2) )
              | ( ~ p16(X2)
                & ~ p17(X2) )
              | ( p17(X2)
                & p16(X2) )
              | ( ~ p15(X2)
                & ~ p16(X2) )
              | ( p16(X2)
                & p15(X2) )
              | ( ~ p14(X2)
                & ~ p15(X2) )
              | ( p15(X2)
                & p14(X2) )
              | ( ~ p13(X2)
                & ~ p14(X2) )
              | ( p14(X2)
                & p13(X2) )
              | ( ~ p12(X2)
                & ~ p13(X2) )
              | ( p13(X2)
                & p12(X2) )
              | ( ~ p11(X2)
                & ~ p12(X2) )
              | ( p12(X2)
                & p11(X2) )
              | ( ~ p10(X2)
                & ~ p11(X2) )
              | ( p11(X2)
                & p10(X2) )
              | ( ~ p9(X2)
                & ~ p10(X2) )
              | ( p10(X2)
                & p9(X2) )
              | ( ~ p8(X2)
                & ~ p9(X2) )
              | ( p9(X2)
                & p8(X2) )
              | ( ~ p7(X2)
                & ~ p8(X2) )
              | ( p8(X2)
                & p7(X2) )
              | ( ~ p6(X2)
                & ~ p7(X2) )
              | ( p7(X2)
                & p6(X2) )
              | ( ~ p5(X2)
                & ~ p6(X2) )
              | ( p6(X2)
                & p5(X2) )
              | ( ~ p4(X2)
                & ~ p5(X2) )
              | ( p5(X2)
                & p4(X2) )
              | ( ~ p3(X2)
                & ~ p4(X2) )
              | ( p4(X2)
                & p3(X2) )
              | ( ~ p2(X2)
                & ~ p3(X2) )
              | ( p3(X2)
                & p2(X2) )
              | ( ~ p1(X2)
                & ~ p2(X2) )
              | ( p2(X2)
                & p1(X2) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p60(X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | epred1_1(X1) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).

fof(c_0_5,plain,
    ! [X140,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255,X256] :
      ( ( r1(X140,esk5_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk5_1(X140),esk6_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk6_1(X140),esk7_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk7_1(X140),esk8_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk8_1(X140),esk9_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk9_1(X140),esk10_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk10_1(X140),esk11_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk11_1(X140),esk12_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk12_1(X140),esk13_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk13_1(X140),esk14_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk14_1(X140),esk15_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk15_1(X140),esk16_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk16_1(X140),esk17_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk17_1(X140),esk18_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk18_1(X140),esk19_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk19_1(X140),esk20_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk20_1(X140),esk21_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk21_1(X140),esk22_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk22_1(X140),esk23_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk23_1(X140),esk24_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk24_1(X140),esk25_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk25_1(X140),esk26_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk26_1(X140),esk27_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk27_1(X140),esk28_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk28_1(X140),esk29_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk29_1(X140),esk30_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk30_1(X140),esk31_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk31_1(X140),esk32_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk32_1(X140),esk33_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk33_1(X140),esk34_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk34_1(X140),esk35_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk35_1(X140),esk36_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk36_1(X140),esk37_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk37_1(X140),esk38_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk38_1(X140),esk39_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk39_1(X140),esk40_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk40_1(X140),esk41_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk41_1(X140),esk42_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk42_1(X140),esk43_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk43_1(X140),esk44_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk44_1(X140),esk45_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk45_1(X140),esk46_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk46_1(X140),esk47_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk47_1(X140),esk48_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk48_1(X140),esk49_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk49_1(X140),esk50_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk50_1(X140),esk51_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk51_1(X140),esk52_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk52_1(X140),esk53_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk53_1(X140),esk54_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk54_1(X140),esk55_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk55_1(X140),esk56_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk56_1(X140),esk57_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk57_1(X140),esk58_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk58_1(X140),esk59_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk59_1(X140),esk60_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk60_1(X140),esk61_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(esk61_1(X140),esk62_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p59(X199)
        | p58(X199)
        | ~ r1(esk61_1(X140),X199)
        | ~ epred1_1(X140) )
      & ( p59(X199)
        | ~ p58(X199)
        | ~ r1(esk61_1(X140),X199)
        | ~ epred1_1(X140) )
      & ( ~ p58(X200)
        | p57(X200)
        | ~ r1(esk60_1(X140),X200)
        | ~ epred1_1(X140) )
      & ( p58(X200)
        | ~ p57(X200)
        | ~ r1(esk60_1(X140),X200)
        | ~ epred1_1(X140) )
      & ( ~ p57(X201)
        | p56(X201)
        | ~ r1(esk59_1(X140),X201)
        | ~ epred1_1(X140) )
      & ( p57(X201)
        | ~ p56(X201)
        | ~ r1(esk59_1(X140),X201)
        | ~ epred1_1(X140) )
      & ( ~ p56(X202)
        | p55(X202)
        | ~ r1(esk58_1(X140),X202)
        | ~ epred1_1(X140) )
      & ( p56(X202)
        | ~ p55(X202)
        | ~ r1(esk58_1(X140),X202)
        | ~ epred1_1(X140) )
      & ( ~ p55(X203)
        | p54(X203)
        | ~ r1(esk57_1(X140),X203)
        | ~ epred1_1(X140) )
      & ( p55(X203)
        | ~ p54(X203)
        | ~ r1(esk57_1(X140),X203)
        | ~ epred1_1(X140) )
      & ( ~ p54(X204)
        | p53(X204)
        | ~ r1(esk56_1(X140),X204)
        | ~ epred1_1(X140) )
      & ( p54(X204)
        | ~ p53(X204)
        | ~ r1(esk56_1(X140),X204)
        | ~ epred1_1(X140) )
      & ( ~ p53(X205)
        | p52(X205)
        | ~ r1(esk55_1(X140),X205)
        | ~ epred1_1(X140) )
      & ( p53(X205)
        | ~ p52(X205)
        | ~ r1(esk55_1(X140),X205)
        | ~ epred1_1(X140) )
      & ( ~ p52(X206)
        | p51(X206)
        | ~ r1(esk54_1(X140),X206)
        | ~ epred1_1(X140) )
      & ( p52(X206)
        | ~ p51(X206)
        | ~ r1(esk54_1(X140),X206)
        | ~ epred1_1(X140) )
      & ( ~ p51(X207)
        | p50(X207)
        | ~ r1(esk53_1(X140),X207)
        | ~ epred1_1(X140) )
      & ( p51(X207)
        | ~ p50(X207)
        | ~ r1(esk53_1(X140),X207)
        | ~ epred1_1(X140) )
      & ( ~ p50(X208)
        | p49(X208)
        | ~ r1(esk52_1(X140),X208)
        | ~ epred1_1(X140) )
      & ( p50(X208)
        | ~ p49(X208)
        | ~ r1(esk52_1(X140),X208)
        | ~ epred1_1(X140) )
      & ( ~ p49(X209)
        | p48(X209)
        | ~ r1(esk51_1(X140),X209)
        | ~ epred1_1(X140) )
      & ( p49(X209)
        | ~ p48(X209)
        | ~ r1(esk51_1(X140),X209)
        | ~ epred1_1(X140) )
      & ( ~ p48(X210)
        | p47(X210)
        | ~ r1(esk50_1(X140),X210)
        | ~ epred1_1(X140) )
      & ( p48(X210)
        | ~ p47(X210)
        | ~ r1(esk50_1(X140),X210)
        | ~ epred1_1(X140) )
      & ( ~ p47(X211)
        | p46(X211)
        | ~ r1(esk49_1(X140),X211)
        | ~ epred1_1(X140) )
      & ( p47(X211)
        | ~ p46(X211)
        | ~ r1(esk49_1(X140),X211)
        | ~ epred1_1(X140) )
      & ( ~ p46(X212)
        | p45(X212)
        | ~ r1(esk48_1(X140),X212)
        | ~ epred1_1(X140) )
      & ( p46(X212)
        | ~ p45(X212)
        | ~ r1(esk48_1(X140),X212)
        | ~ epred1_1(X140) )
      & ( ~ p45(X213)
        | p44(X213)
        | ~ r1(esk47_1(X140),X213)
        | ~ epred1_1(X140) )
      & ( p45(X213)
        | ~ p44(X213)
        | ~ r1(esk47_1(X140),X213)
        | ~ epred1_1(X140) )
      & ( ~ p44(X214)
        | p43(X214)
        | ~ r1(esk46_1(X140),X214)
        | ~ epred1_1(X140) )
      & ( p44(X214)
        | ~ p43(X214)
        | ~ r1(esk46_1(X140),X214)
        | ~ epred1_1(X140) )
      & ( ~ p43(X215)
        | p42(X215)
        | ~ r1(esk45_1(X140),X215)
        | ~ epred1_1(X140) )
      & ( p43(X215)
        | ~ p42(X215)
        | ~ r1(esk45_1(X140),X215)
        | ~ epred1_1(X140) )
      & ( ~ p42(X216)
        | p41(X216)
        | ~ r1(esk44_1(X140),X216)
        | ~ epred1_1(X140) )
      & ( p42(X216)
        | ~ p41(X216)
        | ~ r1(esk44_1(X140),X216)
        | ~ epred1_1(X140) )
      & ( ~ p41(X217)
        | p40(X217)
        | ~ r1(esk43_1(X140),X217)
        | ~ epred1_1(X140) )
      & ( p41(X217)
        | ~ p40(X217)
        | ~ r1(esk43_1(X140),X217)
        | ~ epred1_1(X140) )
      & ( ~ p40(X218)
        | p39(X218)
        | ~ r1(esk42_1(X140),X218)
        | ~ epred1_1(X140) )
      & ( p40(X218)
        | ~ p39(X218)
        | ~ r1(esk42_1(X140),X218)
        | ~ epred1_1(X140) )
      & ( ~ p39(X219)
        | p38(X219)
        | ~ r1(esk41_1(X140),X219)
        | ~ epred1_1(X140) )
      & ( p39(X219)
        | ~ p38(X219)
        | ~ r1(esk41_1(X140),X219)
        | ~ epred1_1(X140) )
      & ( ~ p38(X220)
        | p37(X220)
        | ~ r1(esk40_1(X140),X220)
        | ~ epred1_1(X140) )
      & ( p38(X220)
        | ~ p37(X220)
        | ~ r1(esk40_1(X140),X220)
        | ~ epred1_1(X140) )
      & ( ~ p37(X221)
        | p36(X221)
        | ~ r1(esk39_1(X140),X221)
        | ~ epred1_1(X140) )
      & ( p37(X221)
        | ~ p36(X221)
        | ~ r1(esk39_1(X140),X221)
        | ~ epred1_1(X140) )
      & ( ~ p36(X222)
        | p35(X222)
        | ~ r1(esk38_1(X140),X222)
        | ~ epred1_1(X140) )
      & ( p36(X222)
        | ~ p35(X222)
        | ~ r1(esk38_1(X140),X222)
        | ~ epred1_1(X140) )
      & ( ~ p35(X223)
        | p34(X223)
        | ~ r1(esk37_1(X140),X223)
        | ~ epred1_1(X140) )
      & ( p35(X223)
        | ~ p34(X223)
        | ~ r1(esk37_1(X140),X223)
        | ~ epred1_1(X140) )
      & ( ~ p34(X224)
        | p33(X224)
        | ~ r1(esk36_1(X140),X224)
        | ~ epred1_1(X140) )
      & ( p34(X224)
        | ~ p33(X224)
        | ~ r1(esk36_1(X140),X224)
        | ~ epred1_1(X140) )
      & ( ~ p33(X225)
        | p32(X225)
        | ~ r1(esk35_1(X140),X225)
        | ~ epred1_1(X140) )
      & ( p33(X225)
        | ~ p32(X225)
        | ~ r1(esk35_1(X140),X225)
        | ~ epred1_1(X140) )
      & ( ~ p32(X226)
        | p31(X226)
        | ~ r1(esk34_1(X140),X226)
        | ~ epred1_1(X140) )
      & ( p32(X226)
        | ~ p31(X226)
        | ~ r1(esk34_1(X140),X226)
        | ~ epred1_1(X140) )
      & ( ~ p31(X227)
        | p30(X227)
        | ~ r1(esk33_1(X140),X227)
        | ~ epred1_1(X140) )
      & ( p31(X227)
        | ~ p30(X227)
        | ~ r1(esk33_1(X140),X227)
        | ~ epred1_1(X140) )
      & ( ~ p30(X228)
        | p29(X228)
        | ~ r1(esk32_1(X140),X228)
        | ~ epred1_1(X140) )
      & ( p30(X228)
        | ~ p29(X228)
        | ~ r1(esk32_1(X140),X228)
        | ~ epred1_1(X140) )
      & ( ~ p29(X229)
        | p28(X229)
        | ~ r1(esk31_1(X140),X229)
        | ~ epred1_1(X140) )
      & ( p29(X229)
        | ~ p28(X229)
        | ~ r1(esk31_1(X140),X229)
        | ~ epred1_1(X140) )
      & ( ~ p28(X230)
        | p27(X230)
        | ~ r1(esk30_1(X140),X230)
        | ~ epred1_1(X140) )
      & ( p28(X230)
        | ~ p27(X230)
        | ~ r1(esk30_1(X140),X230)
        | ~ epred1_1(X140) )
      & ( ~ p27(X231)
        | p26(X231)
        | ~ r1(esk29_1(X140),X231)
        | ~ epred1_1(X140) )
      & ( p27(X231)
        | ~ p26(X231)
        | ~ r1(esk29_1(X140),X231)
        | ~ epred1_1(X140) )
      & ( ~ p26(X232)
        | p25(X232)
        | ~ r1(esk28_1(X140),X232)
        | ~ epred1_1(X140) )
      & ( p26(X232)
        | ~ p25(X232)
        | ~ r1(esk28_1(X140),X232)
        | ~ epred1_1(X140) )
      & ( ~ p25(X233)
        | p24(X233)
        | ~ r1(esk27_1(X140),X233)
        | ~ epred1_1(X140) )
      & ( p25(X233)
        | ~ p24(X233)
        | ~ r1(esk27_1(X140),X233)
        | ~ epred1_1(X140) )
      & ( ~ p24(X234)
        | p23(X234)
        | ~ r1(esk26_1(X140),X234)
        | ~ epred1_1(X140) )
      & ( p24(X234)
        | ~ p23(X234)
        | ~ r1(esk26_1(X140),X234)
        | ~ epred1_1(X140) )
      & ( ~ p23(X235)
        | p22(X235)
        | ~ r1(esk25_1(X140),X235)
        | ~ epred1_1(X140) )
      & ( p23(X235)
        | ~ p22(X235)
        | ~ r1(esk25_1(X140),X235)
        | ~ epred1_1(X140) )
      & ( ~ p22(X236)
        | p21(X236)
        | ~ r1(esk24_1(X140),X236)
        | ~ epred1_1(X140) )
      & ( p22(X236)
        | ~ p21(X236)
        | ~ r1(esk24_1(X140),X236)
        | ~ epred1_1(X140) )
      & ( ~ p21(X237)
        | p20(X237)
        | ~ r1(esk23_1(X140),X237)
        | ~ epred1_1(X140) )
      & ( p21(X237)
        | ~ p20(X237)
        | ~ r1(esk23_1(X140),X237)
        | ~ epred1_1(X140) )
      & ( ~ p20(X238)
        | p19(X238)
        | ~ r1(esk22_1(X140),X238)
        | ~ epred1_1(X140) )
      & ( p20(X238)
        | ~ p19(X238)
        | ~ r1(esk22_1(X140),X238)
        | ~ epred1_1(X140) )
      & ( ~ p19(X239)
        | p18(X239)
        | ~ r1(esk21_1(X140),X239)
        | ~ epred1_1(X140) )
      & ( p19(X239)
        | ~ p18(X239)
        | ~ r1(esk21_1(X140),X239)
        | ~ epred1_1(X140) )
      & ( ~ p18(X240)
        | p17(X240)
        | ~ r1(esk20_1(X140),X240)
        | ~ epred1_1(X140) )
      & ( p18(X240)
        | ~ p17(X240)
        | ~ r1(esk20_1(X140),X240)
        | ~ epred1_1(X140) )
      & ( ~ p17(X241)
        | p16(X241)
        | ~ r1(esk19_1(X140),X241)
        | ~ epred1_1(X140) )
      & ( p17(X241)
        | ~ p16(X241)
        | ~ r1(esk19_1(X140),X241)
        | ~ epred1_1(X140) )
      & ( ~ p16(X242)
        | p15(X242)
        | ~ r1(esk18_1(X140),X242)
        | ~ epred1_1(X140) )
      & ( p16(X242)
        | ~ p15(X242)
        | ~ r1(esk18_1(X140),X242)
        | ~ epred1_1(X140) )
      & ( ~ p15(X243)
        | p14(X243)
        | ~ r1(esk17_1(X140),X243)
        | ~ epred1_1(X140) )
      & ( p15(X243)
        | ~ p14(X243)
        | ~ r1(esk17_1(X140),X243)
        | ~ epred1_1(X140) )
      & ( ~ p14(X244)
        | p13(X244)
        | ~ r1(esk16_1(X140),X244)
        | ~ epred1_1(X140) )
      & ( p14(X244)
        | ~ p13(X244)
        | ~ r1(esk16_1(X140),X244)
        | ~ epred1_1(X140) )
      & ( ~ p13(X245)
        | p12(X245)
        | ~ r1(esk15_1(X140),X245)
        | ~ epred1_1(X140) )
      & ( p13(X245)
        | ~ p12(X245)
        | ~ r1(esk15_1(X140),X245)
        | ~ epred1_1(X140) )
      & ( ~ p12(X246)
        | p11(X246)
        | ~ r1(esk14_1(X140),X246)
        | ~ epred1_1(X140) )
      & ( p12(X246)
        | ~ p11(X246)
        | ~ r1(esk14_1(X140),X246)
        | ~ epred1_1(X140) )
      & ( ~ p11(X247)
        | p10(X247)
        | ~ r1(esk13_1(X140),X247)
        | ~ epred1_1(X140) )
      & ( p11(X247)
        | ~ p10(X247)
        | ~ r1(esk13_1(X140),X247)
        | ~ epred1_1(X140) )
      & ( ~ p10(X248)
        | p9(X248)
        | ~ r1(esk12_1(X140),X248)
        | ~ epred1_1(X140) )
      & ( p10(X248)
        | ~ p9(X248)
        | ~ r1(esk12_1(X140),X248)
        | ~ epred1_1(X140) )
      & ( ~ p9(X249)
        | p8(X249)
        | ~ r1(esk11_1(X140),X249)
        | ~ epred1_1(X140) )
      & ( p9(X249)
        | ~ p8(X249)
        | ~ r1(esk11_1(X140),X249)
        | ~ epred1_1(X140) )
      & ( ~ p8(X250)
        | p7(X250)
        | ~ r1(esk10_1(X140),X250)
        | ~ epred1_1(X140) )
      & ( p8(X250)
        | ~ p7(X250)
        | ~ r1(esk10_1(X140),X250)
        | ~ epred1_1(X140) )
      & ( ~ p7(X251)
        | p6(X251)
        | ~ r1(esk9_1(X140),X251)
        | ~ epred1_1(X140) )
      & ( p7(X251)
        | ~ p6(X251)
        | ~ r1(esk9_1(X140),X251)
        | ~ epred1_1(X140) )
      & ( ~ p6(X252)
        | p5(X252)
        | ~ r1(esk8_1(X140),X252)
        | ~ epred1_1(X140) )
      & ( p6(X252)
        | ~ p5(X252)
        | ~ r1(esk8_1(X140),X252)
        | ~ epred1_1(X140) )
      & ( ~ p5(X253)
        | p4(X253)
        | ~ r1(esk7_1(X140),X253)
        | ~ epred1_1(X140) )
      & ( p5(X253)
        | ~ p4(X253)
        | ~ r1(esk7_1(X140),X253)
        | ~ epred1_1(X140) )
      & ( ~ p4(X254)
        | p3(X254)
        | ~ r1(esk6_1(X140),X254)
        | ~ epred1_1(X140) )
      & ( p4(X254)
        | ~ p3(X254)
        | ~ r1(esk6_1(X140),X254)
        | ~ epred1_1(X140) )
      & ( ~ p3(X255)
        | p2(X255)
        | ~ r1(esk5_1(X140),X255)
        | ~ epred1_1(X140) )
      & ( p3(X255)
        | ~ p2(X255)
        | ~ r1(esk5_1(X140),X255)
        | ~ epred1_1(X140) )
      & ( ~ p2(X256)
        | p1(X256)
        | ~ r1(X140,X256)
        | ~ epred1_1(X140) )
      & ( p2(X256)
        | ~ p1(X256)
        | ~ r1(X140,X256)
        | ~ epred1_1(X140) )
      & ( r1(X140,esk63_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p60(esk63_1(X140))
        | ~ epred1_1(X140) )
      & ( r1(X140,esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p58(esk64_1(X140))
        | p59(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p59(esk64_1(X140))
        | ~ p58(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p57(esk64_1(X140))
        | p58(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p58(esk64_1(X140))
        | ~ p57(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p56(esk64_1(X140))
        | p57(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p57(esk64_1(X140))
        | ~ p56(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p55(esk64_1(X140))
        | p56(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p56(esk64_1(X140))
        | ~ p55(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p54(esk64_1(X140))
        | p55(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p55(esk64_1(X140))
        | ~ p54(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p53(esk64_1(X140))
        | p54(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p54(esk64_1(X140))
        | ~ p53(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p52(esk64_1(X140))
        | p53(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p53(esk64_1(X140))
        | ~ p52(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p51(esk64_1(X140))
        | p52(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p52(esk64_1(X140))
        | ~ p51(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p50(esk64_1(X140))
        | p51(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p51(esk64_1(X140))
        | ~ p50(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p49(esk64_1(X140))
        | p50(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p50(esk64_1(X140))
        | ~ p49(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p48(esk64_1(X140))
        | p49(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p49(esk64_1(X140))
        | ~ p48(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p47(esk64_1(X140))
        | p48(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p48(esk64_1(X140))
        | ~ p47(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p46(esk64_1(X140))
        | p47(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p47(esk64_1(X140))
        | ~ p46(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p45(esk64_1(X140))
        | p46(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p46(esk64_1(X140))
        | ~ p45(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p44(esk64_1(X140))
        | p45(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p45(esk64_1(X140))
        | ~ p44(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p43(esk64_1(X140))
        | p44(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p44(esk64_1(X140))
        | ~ p43(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p42(esk64_1(X140))
        | p43(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p43(esk64_1(X140))
        | ~ p42(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p41(esk64_1(X140))
        | p42(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p42(esk64_1(X140))
        | ~ p41(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p40(esk64_1(X140))
        | p41(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p41(esk64_1(X140))
        | ~ p40(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p39(esk64_1(X140))
        | p40(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p40(esk64_1(X140))
        | ~ p39(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p38(esk64_1(X140))
        | p39(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p39(esk64_1(X140))
        | ~ p38(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p37(esk64_1(X140))
        | p38(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p38(esk64_1(X140))
        | ~ p37(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p36(esk64_1(X140))
        | p37(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p37(esk64_1(X140))
        | ~ p36(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p35(esk64_1(X140))
        | p36(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p36(esk64_1(X140))
        | ~ p35(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p34(esk64_1(X140))
        | p35(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p35(esk64_1(X140))
        | ~ p34(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p33(esk64_1(X140))
        | p34(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p34(esk64_1(X140))
        | ~ p33(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p32(esk64_1(X140))
        | p33(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p33(esk64_1(X140))
        | ~ p32(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p31(esk64_1(X140))
        | p32(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p32(esk64_1(X140))
        | ~ p31(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p30(esk64_1(X140))
        | p31(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p31(esk64_1(X140))
        | ~ p30(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p29(esk64_1(X140))
        | p30(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p30(esk64_1(X140))
        | ~ p29(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p28(esk64_1(X140))
        | p29(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p29(esk64_1(X140))
        | ~ p28(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p27(esk64_1(X140))
        | p28(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p28(esk64_1(X140))
        | ~ p27(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p26(esk64_1(X140))
        | p27(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p27(esk64_1(X140))
        | ~ p26(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p25(esk64_1(X140))
        | p26(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p26(esk64_1(X140))
        | ~ p25(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p24(esk64_1(X140))
        | p25(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p25(esk64_1(X140))
        | ~ p24(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p23(esk64_1(X140))
        | p24(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p24(esk64_1(X140))
        | ~ p23(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p22(esk64_1(X140))
        | p23(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p23(esk64_1(X140))
        | ~ p22(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p21(esk64_1(X140))
        | p22(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p22(esk64_1(X140))
        | ~ p21(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p20(esk64_1(X140))
        | p21(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p21(esk64_1(X140))
        | ~ p20(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p19(esk64_1(X140))
        | p20(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p20(esk64_1(X140))
        | ~ p19(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p18(esk64_1(X140))
        | p19(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p19(esk64_1(X140))
        | ~ p18(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p17(esk64_1(X140))
        | p18(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p18(esk64_1(X140))
        | ~ p17(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p16(esk64_1(X140))
        | p17(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p17(esk64_1(X140))
        | ~ p16(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p15(esk64_1(X140))
        | p16(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p16(esk64_1(X140))
        | ~ p15(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p14(esk64_1(X140))
        | p15(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p15(esk64_1(X140))
        | ~ p14(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p13(esk64_1(X140))
        | p14(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p14(esk64_1(X140))
        | ~ p13(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p12(esk64_1(X140))
        | p13(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p13(esk64_1(X140))
        | ~ p12(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p11(esk64_1(X140))
        | p12(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p12(esk64_1(X140))
        | ~ p11(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p10(esk64_1(X140))
        | p11(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p11(esk64_1(X140))
        | ~ p10(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p9(esk64_1(X140))
        | p10(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p10(esk64_1(X140))
        | ~ p9(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p8(esk64_1(X140))
        | p9(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p9(esk64_1(X140))
        | ~ p8(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p7(esk64_1(X140))
        | p8(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p8(esk64_1(X140))
        | ~ p7(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p6(esk64_1(X140))
        | p7(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p7(esk64_1(X140))
        | ~ p6(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p5(esk64_1(X140))
        | p6(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p6(esk64_1(X140))
        | ~ p5(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p4(esk64_1(X140))
        | p5(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p5(esk64_1(X140))
        | ~ p4(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p3(esk64_1(X140))
        | p4(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p4(esk64_1(X140))
        | ~ p3(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p2(esk64_1(X140))
        | p3(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p3(esk64_1(X140))
        | ~ p2(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( p1(esk64_1(X140))
        | p2(esk64_1(X140))
        | ~ epred1_1(X140) )
      & ( ~ p2(esk64_1(X140))
        | ~ p1(esk64_1(X140))
        | ~ epred1_1(X140) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

fof(c_0_6,plain,
    ! [X131] : r1(X131,X131),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

fof(c_0_7,negated_conjecture,
    ! [X139] :
      ( r1(esk1_0,esk2_0)
      & p60(esk2_0)
      & r1(esk2_0,esk3_0)
      & p1(esk3_0)
      & r1(esk1_0,esk4_0)
      & ( ~ r1(esk4_0,X139)
        | epred1_1(X139) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

cnf(c_0_8,plain,
    ( p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( p2(X1)
    | ~ p1(X1)
    | ~ r1(X2,X1)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ( r1(X1,esk64_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,plain,
    ( p1(esk64_1(X1))
    | p2(esk64_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk4_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    ( ~ p2(esk64_1(X1))
    | ~ p1(esk64_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,plain,
    ( p1(X1)
    | ~ epred1_1(X1)
    | ~ p2(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_16,plain,
    ( p2(esk64_1(X1))
    | ~ epred1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    epred1_1(esk4_0),
    inference(spm,[status(thm)],[c_0_13,c_0_9]) ).

cnf(c_0_18,plain,
    ( ~ epred1_1(esk64_1(X1))
    | ~ epred1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    epred1_1(esk64_1(esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_17])]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL686+1.020 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n028.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Mon May  4 23:00:15 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 1.34/1.73  % Version  : CSE_E---1.7
% 1.34/1.73  % Problem  : theBenchmark.p
% 1.34/1.73  % SZS status Theorem for theBenchmark.p
% 1.34/1.73  % SZS output start CNFRefutation
% See solution above
% 1.34/1.73  % Total time : 1.372s
%------------------------------------------------------------------------------