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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:16:11 PM UTC 2026

% Result   : Theorem 0.33s 0.46s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       : 2488 (   0 equ)
%            Maximal formula atoms :  696 ( 118 avg)
%            Number of connectives : 4383 (1916   ~;1554   |; 911   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  266 (  43 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   49 (  47 usr;   2 prp; 0-2 aty)
%            Number of functors    :   49 (  49 usr;   4 con; 0-1 aty)
%            Number of variables   :  428 (   1 sgn 413   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ ! [X1] :
                    ( ~ ( ! [X2] :
                            ( ( p1(X2)
                              & p2(X2) )
                            | ( ~ p2(X2)
                              & ~ p1(X2) )
                            | ( p2(X2)
                              & p3(X2) )
                            | ( ~ p3(X2)
                              & ~ p2(X2) )
                            | ( p3(X2)
                              & p4(X2) )
                            | ( ~ p4(X2)
                              & ~ p3(X2) )
                            | ( p4(X2)
                              & p5(X2) )
                            | ( ~ p5(X2)
                              & ~ p4(X2) )
                            | ( p5(X2)
                              & p6(X2) )
                            | ( ~ p6(X2)
                              & ~ p5(X2) )
                            | ( p6(X2)
                              & p7(X2) )
                            | ( ~ p7(X2)
                              & ~ p6(X2) )
                            | ( p7(X2)
                              & p8(X2) )
                            | ( ~ p8(X2)
                              & ~ p7(X2) )
                            | ( p8(X2)
                              & p9(X2) )
                            | ( ~ p9(X2)
                              & ~ p8(X2) )
                            | ( p9(X2)
                              & p10(X2) )
                            | ( ~ p10(X2)
                              & ~ p9(X2) )
                            | ( p10(X2)
                              & p11(X2) )
                            | ( ~ p11(X2)
                              & ~ p10(X2) )
                            | ( p11(X2)
                              & p12(X2) )
                            | ( ~ p12(X2)
                              & ~ p11(X2) )
                            | ( p12(X2)
                              & p13(X2) )
                            | ( ~ p13(X2)
                              & ~ p12(X2) )
                            | ( p13(X2)
                              & p14(X2) )
                            | ( ~ p14(X2)
                              & ~ p13(X2) )
                            | ( p14(X2)
                              & p15(X2) )
                            | ( ~ p15(X2)
                              & ~ p14(X2) )
                            | ( p15(X2)
                              & p16(X2) )
                            | ( ~ p16(X2)
                              & ~ p15(X2) )
                            | ( p16(X2)
                              & p17(X2) )
                            | ( ~ p17(X2)
                              & ~ p16(X2) )
                            | ( p17(X2)
                              & p18(X2) )
                            | ( ~ p18(X2)
                              & ~ p17(X2) )
                            | ( p18(X2)
                              & p19(X2) )
                            | ( ~ p19(X2)
                              & ~ p18(X2) )
                            | ( p19(X2)
                              & p20(X2) )
                            | ( ~ p20(X2)
                              & ~ p19(X2) )
                            | ( p20(X2)
                              & p21(X2) )
                            | ( ~ p21(X2)
                              & ~ p20(X2) )
                            | ( p21(X2)
                              & p22(X2) )
                            | ( ~ p22(X2)
                              & ~ p21(X2) )
                            | ( p22(X2)
                              & p23(X2) )
                            | ( ~ p23(X2)
                              & ~ p22(X2) )
                            | ( p23(X2)
                              & p24(X2) )
                            | ( ~ p24(X2)
                              & ~ p23(X2) )
                            | ( p24(X2)
                              & p25(X2) )
                            | ( ~ p25(X2)
                              & ~ p24(X2) )
                            | ( p25(X2)
                              & p26(X2) )
                            | ( ~ p26(X2)
                              & ~ p25(X2) )
                            | ( p26(X2)
                              & p27(X2) )
                            | ( ~ p27(X2)
                              & ~ p26(X2) )
                            | ( p27(X2)
                              & p28(X2) )
                            | ( ~ p28(X2)
                              & ~ p27(X2) )
                            | ( p28(X2)
                              & p29(X2) )
                            | ( ~ p29(X2)
                              & ~ p28(X2) )
                            | ( p29(X2)
                              & p30(X2) )
                            | ( ~ p30(X2)
                              & ~ p29(X2) )
                            | ( p30(X2)
                              & p31(X2) )
                            | ( ~ p31(X2)
                              & ~ p30(X2) )
                            | ( p31(X2)
                              & p32(X2) )
                            | ( ~ p32(X2)
                              & ~ p31(X2) )
                            | ( p32(X2)
                              & p33(X2) )
                            | ( ~ p33(X2)
                              & ~ p32(X2) )
                            | ( p33(X2)
                              & p34(X2) )
                            | ( ~ p34(X2)
                              & ~ p33(X2) )
                            | ( p34(X2)
                              & p35(X2) )
                            | ( ~ p35(X2)
                              & ~ p34(X2) )
                            | ( p35(X2)
                              & p36(X2) )
                            | ( ~ p36(X2)
                              & ~ p35(X2) )
                            | ( p36(X2)
                              & p37(X2) )
                            | ( ~ p37(X2)
                              & ~ p36(X2) )
                            | ( p37(X2)
                              & p38(X2) )
                            | ( ~ p38(X2)
                              & ~ p37(X2) )
                            | ( p38(X2)
                              & p39(X2) )
                            | ( ~ p39(X2)
                              & ~ p38(X2) )
                            | ( p39(X2)
                              & p40(X2) )
                            | ( ~ p40(X2)
                              & ~ p39(X2) )
                            | ( p40(X2)
                              & p41(X2) )
                            | ( ~ p41(X2)
                              & ~ p40(X2) )
                            | ( p41(X2)
                              & p42(X2) )
                            | ( ~ p42(X2)
                              & ~ p41(X2) )
                            | ( p42(X2)
                              & p43(X2) )
                            | ( ~ p43(X2)
                              & ~ p42(X2) )
                            | ( p43(X2)
                              & p44(X2) )
                            | ( ~ p44(X2)
                              & ~ p43(X2) )
                            | ~ r1(X1,X2) )
                        | ! [X2] :
                            ( p45(X2)
                            | ~ r1(X1,X2) )
                        | ~ ! [X2] :
                              ( ~ ( ( p1(X2)
                                    & ~ p2(X2) )
                                  | ( ~ p1(X2)
                                    & p2(X2) ) )
                              | ~ r1(X1,X2) )
                        | ! [X2] :
                            ( ~ ! [X1] :
                                  ( ~ ( ( p2(X1)
                                        & ~ p3(X1) )
                                      | ( ~ p2(X1)
                                        & p3(X1) ) )
                                  | ~ r1(X2,X1) )
                            | ! [X1] :
                                ( ~ ! [X2] :
                                      ( ~ ( ( p3(X2)
                                            & ~ p4(X2) )
                                          | ( ~ p3(X2)
                                            & p4(X2) ) )
                                      | ~ r1(X1,X2) )
                                | ! [X2] :
                                    ( ~ ! [X1] :
                                          ( ~ ( ( p4(X1)
                                                & ~ p5(X1) )
                                              | ( ~ p4(X1)
                                                & p5(X1) ) )
                                          | ~ r1(X2,X1) )
                                    | ! [X1] :
                                        ( ~ ! [X2] :
                                              ( ~ ( ( p5(X2)
                                                    & ~ p6(X2) )
                                                  | ( ~ p5(X2)
                                                    & p6(X2) ) )
                                              | ~ r1(X1,X2) )
                                        | ! [X2] :
                                            ( ~ ! [X1] :
                                                  ( ~ ( ( p6(X1)
                                                        & ~ p7(X1) )
                                                      | ( ~ p6(X1)
                                                        & p7(X1) ) )
                                                  | ~ r1(X2,X1) )
                                            | ! [X1] :
                                                ( ~ ! [X2] :
                                                      ( ~ ( ( p7(X2)
                                                            & ~ p8(X2) )
                                                          | ( ~ p7(X2)
                                                            & p8(X2) ) )
                                                      | ~ r1(X1,X2) )
                                                | ! [X2] :
                                                    ( ~ ! [X1] :
                                                          ( ~ ( ( p8(X1)
                                                                & ~ p9(X1) )
                                                              | ( ~ p8(X1)
                                                                & p9(X1) ) )
                                                          | ~ r1(X2,X1) )
                                                    | ! [X1] :
                                                        ( ~ ! [X2] :
                                                              ( ~ ( ( p9(X2)
                                                                    & ~ p10(X2) )
                                                                  | ( ~ p9(X2)
                                                                    & p10(X2) ) )
                                                              | ~ r1(X1,X2) )
                                                        | ! [X2] :
                                                            ( ~ ! [X1] :
                                                                  ( ~ ( ( p10(X1)
                                                                        & ~ p11(X1) )
                                                                      | ( ~ p10(X1)
                                                                        & p11(X1) ) )
                                                                  | ~ r1(X2,X1) )
                                                            | ! [X1] :
                                                                ( ~ ! [X2] :
                                                                      ( ~ ( ( p11(X2)
                                                                            & ~ p12(X2) )
                                                                          | ( ~ p11(X2)
                                                                            & p12(X2) ) )
                                                                      | ~ r1(X1,X2) )
                                                                | ! [X2] :
                                                                    ( ~ ! [X1] :
                                                                          ( ~ ( ( p12(X1)
                                                                                & ~ p13(X1) )
                                                                              | ( ~ p12(X1)
                                                                                & p13(X1) ) )
                                                                          | ~ r1(X2,X1) )
                                                                    | ! [X1] :
                                                                        ( ~ ! [X2] :
                                                                              ( ~ ( ( p13(X2)
                                                                                    & ~ p14(X2) )
                                                                                  | ( ~ p13(X2)
                                                                                    & p14(X2) ) )
                                                                              | ~ r1(X1,X2) )
                                                                        | ! [X2] :
                                                                            ( ~ ! [X1] :
                                                                                  ( ~ ( ( p14(X1)
                                                                                        & ~ p15(X1) )
                                                                                      | ( ~ p14(X1)
                                                                                        & p15(X1) ) )
                                                                                  | ~ r1(X2,X1) )
                                                                            | ! [X1] :
                                                                                ( ~ ! [X2] :
                                                                                      ( ~ ( ( p15(X2)
                                                                                            & ~ p16(X2) )
                                                                                          | ( ~ p15(X2)
                                                                                            & p16(X2) ) )
                                                                                      | ~ r1(X1,X2) )
                                                                                | ! [X2] :
                                                                                    ( ~ ! [X1] :
                                                                                          ( ~ ( ( p16(X1)
                                                                                                & ~ p17(X1) )
                                                                                              | ( ~ p16(X1)
                                                                                                & p17(X1) ) )
                                                                                          | ~ r1(X2,X1) )
                                                                                    | ! [X1] :
                                                                                        ( ~ ! [X2] :
                                                                                              ( ~ ( ( p17(X2)
                                                                                                    & ~ p18(X2) )
                                                                                                  | ( ~ p17(X2)
                                                                                                    & p18(X2) ) )
                                                                                              | ~ r1(X1,X2) )
                                                                                        | ! [X2] :
                                                                                            ( ~ ! [X1] :
                                                                                                  ( ~ ( ( p18(X1)
                                                                                                        & ~ p19(X1) )
                                                                                                      | ( ~ p18(X1)
                                                                                                        & p19(X1) ) )
                                                                                                  | ~ r1(X2,X1) )
                                                                                            | ! [X1] :
                                                                                                ( ~ ! [X2] :
                                                                                                      ( ~ ( ( p19(X2)
                                                                                                            & ~ p20(X2) )
                                                                                                          | ( ~ p19(X2)
                                                                                                            & p20(X2) ) )
                                                                                                      | ~ r1(X1,X2) )
                                                                                                | ! [X2] :
                                                                                                    ( ~ ! [X1] :
                                                                                                          ( ~ ( ( p20(X1)
                                                                                                                & ~ p21(X1) )
                                                                                                              | ( ~ p20(X1)
                                                                                                                & p21(X1) ) )
                                                                                                          | ~ r1(X2,X1) )
                                                                                                    | ! [X1] :
                                                                                                        ( ~ ! [X2] :
                                                                                                              ( ~ ( ( p21(X2)
                                                                                                                    & ~ p22(X2) )
                                                                                                                  | ( ~ p21(X2)
                                                                                                                    & p22(X2) ) )
                                                                                                              | ~ r1(X1,X2) )
                                                                                                        | ! [X2] :
                                                                                                            ( ~ ! [X1] :
                                                                                                                  ( ~ ( ( p22(X1)
                                                                                                                        & ~ p23(X1) )
                                                                                                                      | ( ~ p22(X1)
                                                                                                                        & p23(X1) ) )
                                                                                                                  | ~ r1(X2,X1) )
                                                                                                            | ! [X1] :
                                                                                                                ( ~ ! [X2] :
                                                                                                                      ( ~ ( ( p23(X2)
                                                                                                                            & ~ p24(X2) )
                                                                                                                          | ( ~ p23(X2)
                                                                                                                            & p24(X2) ) )
                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                | ! [X2] :
                                                                                                                    ( ~ ! [X1] :
                                                                                                                          ( ~ ( ( p24(X1)
                                                                                                                                & ~ p25(X1) )
                                                                                                                              | ( ~ p24(X1)
                                                                                                                                & p25(X1) ) )
                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ ! [X2] :
                                                                                                                              ( ~ ( ( p25(X2)
                                                                                                                                    & ~ p26(X2) )
                                                                                                                                  | ( ~ p25(X2)
                                                                                                                                    & p26(X2) ) )
                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                        | ! [X2] :
                                                                                                                            ( ~ ! [X1] :
                                                                                                                                  ( ~ ( ( p26(X1)
                                                                                                                                        & ~ p27(X1) )
                                                                                                                                      | ( ~ p26(X1)
                                                                                                                                        & p27(X1) ) )
                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                            | ! [X1] :
                                                                                                                                ( ~ ! [X2] :
                                                                                                                                      ( ~ ( ( p27(X2)
                                                                                                                                            & ~ p28(X2) )
                                                                                                                                          | ( ~ p27(X2)
                                                                                                                                            & p28(X2) ) )
                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                | ! [X2] :
                                                                                                                                    ( ~ ! [X1] :
                                                                                                                                          ( ~ ( ( p28(X1)
                                                                                                                                                & ~ p29(X1) )
                                                                                                                                              | ( ~ p28(X1)
                                                                                                                                                & p29(X1) ) )
                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                    | ! [X1] :
                                                                                                                                        ( ~ ! [X2] :
                                                                                                                                              ( ~ ( ( p29(X2)
                                                                                                                                                    & ~ p30(X2) )
                                                                                                                                                  | ( ~ p29(X2)
                                                                                                                                                    & p30(X2) ) )
                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                        | ! [X2] :
                                                                                                                                            ( ~ ! [X1] :
                                                                                                                                                  ( ~ ( ( p30(X1)
                                                                                                                                                        & ~ p31(X1) )
                                                                                                                                                      | ( ~ p30(X1)
                                                                                                                                                        & p31(X1) ) )
                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                            | ! [X1] :
                                                                                                                                                ( ~ ! [X2] :
                                                                                                                                                      ( ~ ( ( p31(X2)
                                                                                                                                                            & ~ p32(X2) )
                                                                                                                                                          | ( ~ p31(X2)
                                                                                                                                                            & p32(X2) ) )
                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                | ! [X2] :
                                                                                                                                                    ( ~ ! [X1] :
                                                                                                                                                          ( ~ ( ( p32(X1)
                                                                                                                                                                & ~ p33(X1) )
                                                                                                                                                              | ( ~ p32(X1)
                                                                                                                                                                & p33(X1) ) )
                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                    | ! [X1] :
                                                                                                                                                        ( ~ ! [X2] :
                                                                                                                                                              ( ~ ( ( p33(X2)
                                                                                                                                                                    & ~ p34(X2) )
                                                                                                                                                                  | ( ~ p33(X2)
                                                                                                                                                                    & p34(X2) ) )
                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                        | ! [X2] :
                                                                                                                                                            ( ~ ! [X1] :
                                                                                                                                                                  ( ~ ( ( p34(X1)
                                                                                                                                                                        & ~ p35(X1) )
                                                                                                                                                                      | ( ~ p34(X1)
                                                                                                                                                                        & p35(X1) ) )
                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                            | ! [X1] :
                                                                                                                                                                ( ~ ! [X2] :
                                                                                                                                                                      ( ~ ( ( p35(X2)
                                                                                                                                                                            & ~ p36(X2) )
                                                                                                                                                                          | ( ~ p35(X2)
                                                                                                                                                                            & p36(X2) ) )
                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                | ! [X2] :
                                                                                                                                                                    ( ~ ! [X1] :
                                                                                                                                                                          ( ~ ( ( p36(X1)
                                                                                                                                                                                & ~ p37(X1) )
                                                                                                                                                                              | ( ~ p36(X1)
                                                                                                                                                                                & p37(X1) ) )
                                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                        ( ~ ! [X2] :
                                                                                                                                                                              ( ~ ( ( p37(X2)
                                                                                                                                                                                    & ~ p38(X2) )
                                                                                                                                                                                  | ( ~ p37(X2)
                                                                                                                                                                                    & p38(X2) ) )
                                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                            ( ~ ! [X1] :
                                                                                                                                                                                  ( ~ ( ( p38(X1)
                                                                                                                                                                                        & ~ p39(X1) )
                                                                                                                                                                                      | ( ~ p38(X1)
                                                                                                                                                                                        & p39(X1) ) )
                                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                ( ~ ! [X2] :
                                                                                                                                                                                      ( ~ ( ( p39(X2)
                                                                                                                                                                                            & ~ p40(X2) )
                                                                                                                                                                                          | ( ~ p39(X2)
                                                                                                                                                                                            & p40(X2) ) )
                                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                                | ! [X2] :
                                                                                                                                                                                    ( ~ ! [X1] :
                                                                                                                                                                                          ( ~ ( ( p40(X1)
                                                                                                                                                                                                & ~ p41(X1) )
                                                                                                                                                                                              | ( ~ p40(X1)
                                                                                                                                                                                                & p41(X1) ) )
                                                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                                                    | ! [X1] :
                                                                                                                                                                                        ( ~ ! [X2] :
                                                                                                                                                                                              ( ~ ( ( p41(X2)
                                                                                                                                                                                                    & ~ p42(X2) )
                                                                                                                                                                                                  | ( ~ p41(X2)
                                                                                                                                                                                                    & p42(X2) ) )
                                                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                                                        | ! [X2] :
                                                                                                                                                                                            ( ~ ! [X1] :
                                                                                                                                                                                                  ( ~ ( ( p42(X1)
                                                                                                                                                                                                        & ~ p43(X1) )
                                                                                                                                                                                                      | ( ~ p42(X1)
                                                                                                                                                                                                        & p43(X1) ) )
                                                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                                                            | ! [X1] :
                                                                                                                                                                                                ( ~ ! [X2] :
                                                                                                                                                                                                      ( ~ ( ( p43(X2)
                                                                                                                                                                                                            & ~ p44(X2) )
                                                                                                                                                                                                          | ( ~ p43(X2)
                                                                                                                                                                                                            & p44(X2) ) )
                                                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                                                | ! [X2] :
                                                                                                                                                                                                    ( ~ $true
                                                                                                                                                                                                    | ~ r1(X1,X2) )
                                                                                                                                                                                                | ~ r1(X2,X1) )
                                                                                                                                                                                            | ~ r1(X1,X2) )
                                                                                                                                                                                        | ~ r1(X2,X1) )
                                                                                                                                                                                    | ~ r1(X1,X2) )
                                                                                                                                                                                | ~ r1(X2,X1) )
                                                                                                                                                                            | ~ r1(X1,X2) )
                                                                                                                                                                        | ~ r1(X2,X1) )
                                                                                                                                                                    | ~ r1(X1,X2) )
                                                                                                                                                                | ~ r1(X2,X1) )
                                                                                                                                                            | ~ r1(X1,X2) )
                                                                                                                                                        | ~ r1(X2,X1) )
                                                                                                                                                    | ~ r1(X1,X2) )
                                                                                                                                                | ~ r1(X2,X1) )
                                                                                                                                            | ~ r1(X1,X2) )
                                                                                                                                        | ~ r1(X2,X1) )
                                                                                                                                    | ~ r1(X1,X2) )
                                                                                                                                | ~ r1(X2,X1) )
                                                                                                                            | ~ r1(X1,X2) )
                                                                                                                        | ~ r1(X2,X1) )
                                                                                                                    | ~ r1(X1,X2) )
                                                                                                                | ~ r1(X2,X1) )
                                                                                                            | ~ r1(X1,X2) )
                                                                                                        | ~ r1(X2,X1) )
                                                                                                    | ~ r1(X1,X2) )
                                                                                                | ~ r1(X2,X1) )
                                                                                            | ~ r1(X1,X2) )
                                                                                        | ~ r1(X2,X1) )
                                                                                    | ~ r1(X1,X2) )
                                                                                | ~ r1(X2,X1) )
                                                                            | ~ r1(X1,X2) )
                                                                        | ~ r1(X2,X1) )
                                                                    | ~ r1(X1,X2) )
                                                                | ~ r1(X2,X1) )
                                                            | ~ r1(X1,X2) )
                                                        | ~ r1(X2,X1) )
                                                    | ~ r1(X1,X2) )
                                                | ~ r1(X2,X1) )
                                            | ~ r1(X1,X2) )
                                        | ~ r1(X2,X1) )
                                    | ~ r1(X1,X2) )
                                | ~ r1(X2,X1) )
                            | ~ r1(X1,X2) ) )
                    | ~ r1(X2,X1) )
              | ~ r1(X1,X2) )
          | ! [X2] :
              ( ! [X1] :
                  ( ~ p1(X1)
                  | ~ r1(X2,X1) )
              | ~ p45(X2)
              | ~ r1(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(c_0_2,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ~ ( ! [X2] :
              ( ( p1(X2)
                & p2(X2) )
              | ( ~ p2(X2)
                & ~ p1(X2) )
              | ( p2(X2)
                & p3(X2) )
              | ( ~ p3(X2)
                & ~ p2(X2) )
              | ( p3(X2)
                & p4(X2) )
              | ( ~ p4(X2)
                & ~ p3(X2) )
              | ( p4(X2)
                & p5(X2) )
              | ( ~ p5(X2)
                & ~ p4(X2) )
              | ( p5(X2)
                & p6(X2) )
              | ( ~ p6(X2)
                & ~ p5(X2) )
              | ( p6(X2)
                & p7(X2) )
              | ( ~ p7(X2)
                & ~ p6(X2) )
              | ( p7(X2)
                & p8(X2) )
              | ( ~ p8(X2)
                & ~ p7(X2) )
              | ( p8(X2)
                & p9(X2) )
              | ( ~ p9(X2)
                & ~ p8(X2) )
              | ( p9(X2)
                & p10(X2) )
              | ( ~ p10(X2)
                & ~ p9(X2) )
              | ( p10(X2)
                & p11(X2) )
              | ( ~ p11(X2)
                & ~ p10(X2) )
              | ( p11(X2)
                & p12(X2) )
              | ( ~ p12(X2)
                & ~ p11(X2) )
              | ( p12(X2)
                & p13(X2) )
              | ( ~ p13(X2)
                & ~ p12(X2) )
              | ( p13(X2)
                & p14(X2) )
              | ( ~ p14(X2)
                & ~ p13(X2) )
              | ( p14(X2)
                & p15(X2) )
              | ( ~ p15(X2)
                & ~ p14(X2) )
              | ( p15(X2)
                & p16(X2) )
              | ( ~ p16(X2)
                & ~ p15(X2) )
              | ( p16(X2)
                & p17(X2) )
              | ( ~ p17(X2)
                & ~ p16(X2) )
              | ( p17(X2)
                & p18(X2) )
              | ( ~ p18(X2)
                & ~ p17(X2) )
              | ( p18(X2)
                & p19(X2) )
              | ( ~ p19(X2)
                & ~ p18(X2) )
              | ( p19(X2)
                & p20(X2) )
              | ( ~ p20(X2)
                & ~ p19(X2) )
              | ( p20(X2)
                & p21(X2) )
              | ( ~ p21(X2)
                & ~ p20(X2) )
              | ( p21(X2)
                & p22(X2) )
              | ( ~ p22(X2)
                & ~ p21(X2) )
              | ( p22(X2)
                & p23(X2) )
              | ( ~ p23(X2)
                & ~ p22(X2) )
              | ( p23(X2)
                & p24(X2) )
              | ( ~ p24(X2)
                & ~ p23(X2) )
              | ( p24(X2)
                & p25(X2) )
              | ( ~ p25(X2)
                & ~ p24(X2) )
              | ( p25(X2)
                & p26(X2) )
              | ( ~ p26(X2)
                & ~ p25(X2) )
              | ( p26(X2)
                & p27(X2) )
              | ( ~ p27(X2)
                & ~ p26(X2) )
              | ( p27(X2)
                & p28(X2) )
              | ( ~ p28(X2)
                & ~ p27(X2) )
              | ( p28(X2)
                & p29(X2) )
              | ( ~ p29(X2)
                & ~ p28(X2) )
              | ( p29(X2)
                & p30(X2) )
              | ( ~ p30(X2)
                & ~ p29(X2) )
              | ( p30(X2)
                & p31(X2) )
              | ( ~ p31(X2)
                & ~ p30(X2) )
              | ( p31(X2)
                & p32(X2) )
              | ( ~ p32(X2)
                & ~ p31(X2) )
              | ( p32(X2)
                & p33(X2) )
              | ( ~ p33(X2)
                & ~ p32(X2) )
              | ( p33(X2)
                & p34(X2) )
              | ( ~ p34(X2)
                & ~ p33(X2) )
              | ( p34(X2)
                & p35(X2) )
              | ( ~ p35(X2)
                & ~ p34(X2) )
              | ( p35(X2)
                & p36(X2) )
              | ( ~ p36(X2)
                & ~ p35(X2) )
              | ( p36(X2)
                & p37(X2) )
              | ( ~ p37(X2)
                & ~ p36(X2) )
              | ( p37(X2)
                & p38(X2) )
              | ( ~ p38(X2)
                & ~ p37(X2) )
              | ( p38(X2)
                & p39(X2) )
              | ( ~ p39(X2)
                & ~ p38(X2) )
              | ( p39(X2)
                & p40(X2) )
              | ( ~ p40(X2)
                & ~ p39(X2) )
              | ( p40(X2)
                & p41(X2) )
              | ( ~ p41(X2)
                & ~ p40(X2) )
              | ( p41(X2)
                & p42(X2) )
              | ( ~ p42(X2)
                & ~ p41(X2) )
              | ( p42(X2)
                & p43(X2) )
              | ( ~ p43(X2)
                & ~ p42(X2) )
              | ( p43(X2)
                & p44(X2) )
              | ( ~ p44(X2)
                & ~ p43(X2) )
              | ~ r1(X1,X2) )
          | ! [X2] :
              ( p45(X2)
              | ~ r1(X1,X2) )
          | ~ ! [X2] :
                ( ~ ( ( p1(X2)
                      & ~ p2(X2) )
                    | ( ~ p1(X2)
                      & p2(X2) ) )
                | ~ r1(X1,X2) )
          | ! [X2] :
              ( ~ ! [X1] :
                    ( ~ ( ( p2(X1)
                          & ~ p3(X1) )
                        | ( ~ p2(X1)
                          & p3(X1) ) )
                    | ~ r1(X2,X1) )
              | ! [X1] :
                  ( ~ ! [X2] :
                        ( ~ ( ( p3(X2)
                              & ~ p4(X2) )
                            | ( ~ p3(X2)
                              & p4(X2) ) )
                        | ~ r1(X1,X2) )
                  | ! [X2] :
                      ( ~ ! [X1] :
                            ( ~ ( ( p4(X1)
                                  & ~ p5(X1) )
                                | ( ~ p4(X1)
                                  & p5(X1) ) )
                            | ~ r1(X2,X1) )
                      | ! [X1] :
                          ( ~ ! [X2] :
                                ( ~ ( ( p5(X2)
                                      & ~ p6(X2) )
                                    | ( ~ p5(X2)
                                      & p6(X2) ) )
                                | ~ r1(X1,X2) )
                          | ! [X2] :
                              ( ~ ! [X1] :
                                    ( ~ ( ( p6(X1)
                                          & ~ p7(X1) )
                                        | ( ~ p6(X1)
                                          & p7(X1) ) )
                                    | ~ r1(X2,X1) )
                              | ! [X1] :
                                  ( ~ ! [X2] :
                                        ( ~ ( ( p7(X2)
                                              & ~ p8(X2) )
                                            | ( ~ p7(X2)
                                              & p8(X2) ) )
                                        | ~ r1(X1,X2) )
                                  | ! [X2] :
                                      ( ~ ! [X1] :
                                            ( ~ ( ( p8(X1)
                                                  & ~ p9(X1) )
                                                | ( ~ p8(X1)
                                                  & p9(X1) ) )
                                            | ~ r1(X2,X1) )
                                      | ! [X1] :
                                          ( ~ ! [X2] :
                                                ( ~ ( ( p9(X2)
                                                      & ~ p10(X2) )
                                                    | ( ~ p9(X2)
                                                      & p10(X2) ) )
                                                | ~ r1(X1,X2) )
                                          | ! [X2] :
                                              ( ~ ! [X1] :
                                                    ( ~ ( ( p10(X1)
                                                          & ~ p11(X1) )
                                                        | ( ~ p10(X1)
                                                          & p11(X1) ) )
                                                    | ~ r1(X2,X1) )
                                              | ! [X1] :
                                                  ( ~ ! [X2] :
                                                        ( ~ ( ( p11(X2)
                                                              & ~ p12(X2) )
                                                            | ( ~ p11(X2)
                                                              & p12(X2) ) )
                                                        | ~ r1(X1,X2) )
                                                  | ! [X2] :
                                                      ( ~ ! [X1] :
                                                            ( ~ ( ( p12(X1)
                                                                  & ~ p13(X1) )
                                                                | ( ~ p12(X1)
                                                                  & p13(X1) ) )
                                                            | ~ r1(X2,X1) )
                                                      | ! [X1] :
                                                          ( ~ ! [X2] :
                                                                ( ~ ( ( p13(X2)
                                                                      & ~ p14(X2) )
                                                                    | ( ~ p13(X2)
                                                                      & p14(X2) ) )
                                                                | ~ r1(X1,X2) )
                                                          | ! [X2] :
                                                              ( ~ ! [X1] :
                                                                    ( ~ ( ( p14(X1)
                                                                          & ~ p15(X1) )
                                                                        | ( ~ p14(X1)
                                                                          & p15(X1) ) )
                                                                    | ~ r1(X2,X1) )
                                                              | ! [X1] :
                                                                  ( ~ ! [X2] :
                                                                        ( ~ ( ( p15(X2)
                                                                              & ~ p16(X2) )
                                                                            | ( ~ p15(X2)
                                                                              & p16(X2) ) )
                                                                        | ~ r1(X1,X2) )
                                                                  | ! [X2] :
                                                                      ( ~ ! [X1] :
                                                                            ( ~ ( ( p16(X1)
                                                                                  & ~ p17(X1) )
                                                                                | ( ~ p16(X1)
                                                                                  & p17(X1) ) )
                                                                            | ~ r1(X2,X1) )
                                                                      | ! [X1] :
                                                                          ( ~ ! [X2] :
                                                                                ( ~ ( ( p17(X2)
                                                                                      & ~ p18(X2) )
                                                                                    | ( ~ p17(X2)
                                                                                      & p18(X2) ) )
                                                                                | ~ r1(X1,X2) )
                                                                          | ! [X2] :
                                                                              ( ~ ! [X1] :
                                                                                    ( ~ ( ( p18(X1)
                                                                                          & ~ p19(X1) )
                                                                                        | ( ~ p18(X1)
                                                                                          & p19(X1) ) )
                                                                                    | ~ r1(X2,X1) )
                                                                              | ! [X1] :
                                                                                  ( ~ ! [X2] :
                                                                                        ( ~ ( ( p19(X2)
                                                                                              & ~ p20(X2) )
                                                                                            | ( ~ p19(X2)
                                                                                              & p20(X2) ) )
                                                                                        | ~ r1(X1,X2) )
                                                                                  | ! [X2] :
                                                                                      ( ~ ! [X1] :
                                                                                            ( ~ ( ( p20(X1)
                                                                                                  & ~ p21(X1) )
                                                                                                | ( ~ p20(X1)
                                                                                                  & p21(X1) ) )
                                                                                            | ~ r1(X2,X1) )
                                                                                      | ! [X1] :
                                                                                          ( ~ ! [X2] :
                                                                                                ( ~ ( ( p21(X2)
                                                                                                      & ~ p22(X2) )
                                                                                                    | ( ~ p21(X2)
                                                                                                      & p22(X2) ) )
                                                                                                | ~ r1(X1,X2) )
                                                                                          | ! [X2] :
                                                                                              ( ~ ! [X1] :
                                                                                                    ( ~ ( ( p22(X1)
                                                                                                          & ~ p23(X1) )
                                                                                                        | ( ~ p22(X1)
                                                                                                          & p23(X1) ) )
                                                                                                    | ~ r1(X2,X1) )
                                                                                              | ! [X1] :
                                                                                                  ( ~ ! [X2] :
                                                                                                        ( ~ ( ( p23(X2)
                                                                                                              & ~ p24(X2) )
                                                                                                            | ( ~ p23(X2)
                                                                                                              & p24(X2) ) )
                                                                                                        | ~ r1(X1,X2) )
                                                                                                  | ! [X2] :
                                                                                                      ( ~ ! [X1] :
                                                                                                            ( ~ ( ( p24(X1)
                                                                                                                  & ~ p25(X1) )
                                                                                                                | ( ~ p24(X1)
                                                                                                                  & p25(X1) ) )
                                                                                                            | ~ r1(X2,X1) )
                                                                                                      | ! [X1] :
                                                                                                          ( ~ ! [X2] :
                                                                                                                ( ~ ( ( p25(X2)
                                                                                                                      & ~ p26(X2) )
                                                                                                                    | ( ~ p25(X2)
                                                                                                                      & p26(X2) ) )
                                                                                                                | ~ r1(X1,X2) )
                                                                                                          | ! [X2] :
                                                                                                              ( ~ ! [X1] :
                                                                                                                    ( ~ ( ( p26(X1)
                                                                                                                          & ~ p27(X1) )
                                                                                                                        | ( ~ p26(X1)
                                                                                                                          & p27(X1) ) )
                                                                                                                    | ~ r1(X2,X1) )
                                                                                                              | ! [X1] :
                                                                                                                  ( ~ ! [X2] :
                                                                                                                        ( ~ ( ( p27(X2)
                                                                                                                              & ~ p28(X2) )
                                                                                                                            | ( ~ p27(X2)
                                                                                                                              & p28(X2) ) )
                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                  | ! [X2] :
                                                                                                                      ( ~ ! [X1] :
                                                                                                                            ( ~ ( ( p28(X1)
                                                                                                                                  & ~ p29(X1) )
                                                                                                                                | ( ~ p28(X1)
                                                                                                                                  & p29(X1) ) )
                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                      | ! [X1] :
                                                                                                                          ( ~ ! [X2] :
                                                                                                                                ( ~ ( ( p29(X2)
                                                                                                                                      & ~ p30(X2) )
                                                                                                                                    | ( ~ p29(X2)
                                                                                                                                      & p30(X2) ) )
                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                          | ! [X2] :
                                                                                                                              ( ~ ! [X1] :
                                                                                                                                    ( ~ ( ( p30(X1)
                                                                                                                                          & ~ p31(X1) )
                                                                                                                                        | ( ~ p30(X1)
                                                                                                                                          & p31(X1) ) )
                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                              | ! [X1] :
                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                        ( ~ ( ( p31(X2)
                                                                                                                                              & ~ p32(X2) )
                                                                                                                                            | ( ~ p31(X2)
                                                                                                                                              & p32(X2) ) )
                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                  | ! [X2] :
                                                                                                                                      ( ~ ! [X1] :
                                                                                                                                            ( ~ ( ( p32(X1)
                                                                                                                                                  & ~ p33(X1) )
                                                                                                                                                | ( ~ p32(X1)
                                                                                                                                                  & p33(X1) ) )
                                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                                      | ! [X1] :
                                                                                                                                          ( ~ ! [X2] :
                                                                                                                                                ( ~ ( ( p33(X2)
                                                                                                                                                      & ~ p34(X2) )
                                                                                                                                                    | ( ~ p33(X2)
                                                                                                                                                      & p34(X2) ) )
                                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                                          | ! [X2] :
                                                                                                                                              ( ~ ! [X1] :
                                                                                                                                                    ( ~ ( ( p34(X1)
                                                                                                                                                          & ~ p35(X1) )
                                                                                                                                                        | ( ~ p34(X1)
                                                                                                                                                          & p35(X1) ) )
                                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                                              | ! [X1] :
                                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                                        ( ~ ( ( p35(X2)
                                                                                                                                                              & ~ p36(X2) )
                                                                                                                                                            | ( ~ p35(X2)
                                                                                                                                                              & p36(X2) ) )
                                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ ! [X1] :
                                                                                                                                                            ( ~ ( ( p36(X1)
                                                                                                                                                                  & ~ p37(X1) )
                                                                                                                                                                | ( ~ p36(X1)
                                                                                                                                                                  & p37(X1) ) )
                                                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                                                      | ! [X1] :
                                                                                                                                                          ( ~ ! [X2] :
                                                                                                                                                                ( ~ ( ( p37(X2)
                                                                                                                                                                      & ~ p38(X2) )
                                                                                                                                                                    | ( ~ p37(X2)
                                                                                                                                                                      & p38(X2) ) )
                                                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                                                          | ! [X2] :
                                                                                                                                                              ( ~ ! [X1] :
                                                                                                                                                                    ( ~ ( ( p38(X1)
                                                                                                                                                                          & ~ p39(X1) )
                                                                                                                                                                        | ( ~ p38(X1)
                                                                                                                                                                          & p39(X1) ) )
                                                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                                                              | ! [X1] :
                                                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                                                        ( ~ ( ( p39(X2)
                                                                                                                                                                              & ~ p40(X2) )
                                                                                                                                                                            | ( ~ p39(X2)
                                                                                                                                                                              & p40(X2) ) )
                                                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                      ( ~ ! [X1] :
                                                                                                                                                                            ( ~ ( ( p40(X1)
                                                                                                                                                                                  & ~ p41(X1) )
                                                                                                                                                                                | ( ~ p40(X1)
                                                                                                                                                                                  & p41(X1) ) )
                                                                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                          ( ~ ! [X2] :
                                                                                                                                                                                ( ~ ( ( p41(X2)
                                                                                                                                                                                      & ~ p42(X2) )
                                                                                                                                                                                    | ( ~ p41(X2)
                                                                                                                                                                                      & p42(X2) ) )
                                                                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                              ( ~ ! [X1] :
                                                                                                                                                                                    ( ~ ( ( p42(X1)
                                                                                                                                                                                          & ~ p43(X1) )
                                                                                                                                                                                        | ( ~ p42(X1)
                                                                                                                                                                                          & p43(X1) ) )
                                                                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                                                                        ( ~ ( ( p43(X2)
                                                                                                                                                                                              & ~ p44(X2) )
                                                                                                                                                                                            | ( ~ p43(X2)
                                                                                                                                                                                              & p44(X2) ) )
                                                                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                      ( ~ $true
                                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                  | ~ r1(X2,X1) )
                                                                                                              | ~ r1(X1,X2) )
                                                                                                          | ~ r1(X2,X1) )
                                                                                                      | ~ r1(X1,X2) )
                                                                                                  | ~ r1(X2,X1) )
                                                                                              | ~ r1(X1,X2) )
                                                                                          | ~ r1(X2,X1) )
                                                                                      | ~ r1(X1,X2) )
                                                                                  | ~ r1(X2,X1) )
                                                                              | ~ r1(X1,X2) )
                                                                          | ~ r1(X2,X1) )
                                                                      | ~ r1(X1,X2) )
                                                                  | ~ r1(X2,X1) )
                                                              | ~ r1(X1,X2) )
                                                          | ~ r1(X2,X1) )
                                                      | ~ r1(X1,X2) )
                                                  | ~ r1(X2,X1) )
                                              | ~ r1(X1,X2) )
                                          | ~ r1(X2,X1) )
                                      | ~ r1(X1,X2) )
                                  | ~ r1(X2,X1) )
                              | ~ r1(X1,X2) )
                          | ~ r1(X2,X1) )
                      | ~ r1(X1,X2) )
                  | ~ r1(X2,X1) )
              | ~ r1(X1,X2) ) ) ),
    introduced(definition) ).

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

fof(c_0_4,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ ! [X1] :
                      ( ~ ( ! [X2] :
                              ( ( p1(X2)
                                & p2(X2) )
                              | ( ~ p2(X2)
                                & ~ p1(X2) )
                              | ( p2(X2)
                                & p3(X2) )
                              | ( ~ p3(X2)
                                & ~ p2(X2) )
                              | ( p3(X2)
                                & p4(X2) )
                              | ( ~ p4(X2)
                                & ~ p3(X2) )
                              | ( p4(X2)
                                & p5(X2) )
                              | ( ~ p5(X2)
                                & ~ p4(X2) )
                              | ( p5(X2)
                                & p6(X2) )
                              | ( ~ p6(X2)
                                & ~ p5(X2) )
                              | ( p6(X2)
                                & p7(X2) )
                              | ( ~ p7(X2)
                                & ~ p6(X2) )
                              | ( p7(X2)
                                & p8(X2) )
                              | ( ~ p8(X2)
                                & ~ p7(X2) )
                              | ( p8(X2)
                                & p9(X2) )
                              | ( ~ p9(X2)
                                & ~ p8(X2) )
                              | ( p9(X2)
                                & p10(X2) )
                              | ( ~ p10(X2)
                                & ~ p9(X2) )
                              | ( p10(X2)
                                & p11(X2) )
                              | ( ~ p11(X2)
                                & ~ p10(X2) )
                              | ( p11(X2)
                                & p12(X2) )
                              | ( ~ p12(X2)
                                & ~ p11(X2) )
                              | ( p12(X2)
                                & p13(X2) )
                              | ( ~ p13(X2)
                                & ~ p12(X2) )
                              | ( p13(X2)
                                & p14(X2) )
                              | ( ~ p14(X2)
                                & ~ p13(X2) )
                              | ( p14(X2)
                                & p15(X2) )
                              | ( ~ p15(X2)
                                & ~ p14(X2) )
                              | ( p15(X2)
                                & p16(X2) )
                              | ( ~ p16(X2)
                                & ~ p15(X2) )
                              | ( p16(X2)
                                & p17(X2) )
                              | ( ~ p17(X2)
                                & ~ p16(X2) )
                              | ( p17(X2)
                                & p18(X2) )
                              | ( ~ p18(X2)
                                & ~ p17(X2) )
                              | ( p18(X2)
                                & p19(X2) )
                              | ( ~ p19(X2)
                                & ~ p18(X2) )
                              | ( p19(X2)
                                & p20(X2) )
                              | ( ~ p20(X2)
                                & ~ p19(X2) )
                              | ( p20(X2)
                                & p21(X2) )
                              | ( ~ p21(X2)
                                & ~ p20(X2) )
                              | ( p21(X2)
                                & p22(X2) )
                              | ( ~ p22(X2)
                                & ~ p21(X2) )
                              | ( p22(X2)
                                & p23(X2) )
                              | ( ~ p23(X2)
                                & ~ p22(X2) )
                              | ( p23(X2)
                                & p24(X2) )
                              | ( ~ p24(X2)
                                & ~ p23(X2) )
                              | ( p24(X2)
                                & p25(X2) )
                              | ( ~ p25(X2)
                                & ~ p24(X2) )
                              | ( p25(X2)
                                & p26(X2) )
                              | ( ~ p26(X2)
                                & ~ p25(X2) )
                              | ( p26(X2)
                                & p27(X2) )
                              | ( ~ p27(X2)
                                & ~ p26(X2) )
                              | ( p27(X2)
                                & p28(X2) )
                              | ( ~ p28(X2)
                                & ~ p27(X2) )
                              | ( p28(X2)
                                & p29(X2) )
                              | ( ~ p29(X2)
                                & ~ p28(X2) )
                              | ( p29(X2)
                                & p30(X2) )
                              | ( ~ p30(X2)
                                & ~ p29(X2) )
                              | ( p30(X2)
                                & p31(X2) )
                              | ( ~ p31(X2)
                                & ~ p30(X2) )
                              | ( p31(X2)
                                & p32(X2) )
                              | ( ~ p32(X2)
                                & ~ p31(X2) )
                              | ( p32(X2)
                                & p33(X2) )
                              | ( ~ p33(X2)
                                & ~ p32(X2) )
                              | ( p33(X2)
                                & p34(X2) )
                              | ( ~ p34(X2)
                                & ~ p33(X2) )
                              | ( p34(X2)
                                & p35(X2) )
                              | ( ~ p35(X2)
                                & ~ p34(X2) )
                              | ( p35(X2)
                                & p36(X2) )
                              | ( ~ p36(X2)
                                & ~ p35(X2) )
                              | ( p36(X2)
                                & p37(X2) )
                              | ( ~ p37(X2)
                                & ~ p36(X2) )
                              | ( p37(X2)
                                & p38(X2) )
                              | ( ~ p38(X2)
                                & ~ p37(X2) )
                              | ( p38(X2)
                                & p39(X2) )
                              | ( ~ p39(X2)
                                & ~ p38(X2) )
                              | ( p39(X2)
                                & p40(X2) )
                              | ( ~ p40(X2)
                                & ~ p39(X2) )
                              | ( p40(X2)
                                & p41(X2) )
                              | ( ~ p41(X2)
                                & ~ p40(X2) )
                              | ( p41(X2)
                                & p42(X2) )
                              | ( ~ p42(X2)
                                & ~ p41(X2) )
                              | ( p42(X2)
                                & p43(X2) )
                              | ( ~ p43(X2)
                                & ~ p42(X2) )
                              | ( p43(X2)
                                & p44(X2) )
                              | ( ~ p44(X2)
                                & ~ p43(X2) )
                              | ~ r1(X1,X2) )
                          | ! [X2] :
                              ( p45(X2)
                              | ~ r1(X1,X2) )
                          | ~ ! [X2] :
                                ( ~ ( ( p1(X2)
                                      & ~ p2(X2) )
                                    | ( ~ p1(X2)
                                      & p2(X2) ) )
                                | ~ r1(X1,X2) )
                          | ! [X2] :
                              ( ~ ! [X1] :
                                    ( ~ ( ( p2(X1)
                                          & ~ p3(X1) )
                                        | ( ~ p2(X1)
                                          & p3(X1) ) )
                                    | ~ r1(X2,X1) )
                              | ! [X1] :
                                  ( ~ ! [X2] :
                                        ( ~ ( ( p3(X2)
                                              & ~ p4(X2) )
                                            | ( ~ p3(X2)
                                              & p4(X2) ) )
                                        | ~ r1(X1,X2) )
                                  | ! [X2] :
                                      ( ~ ! [X1] :
                                            ( ~ ( ( p4(X1)
                                                  & ~ p5(X1) )
                                                | ( ~ p4(X1)
                                                  & p5(X1) ) )
                                            | ~ r1(X2,X1) )
                                      | ! [X1] :
                                          ( ~ ! [X2] :
                                                ( ~ ( ( p5(X2)
                                                      & ~ p6(X2) )
                                                    | ( ~ p5(X2)
                                                      & p6(X2) ) )
                                                | ~ r1(X1,X2) )
                                          | ! [X2] :
                                              ( ~ ! [X1] :
                                                    ( ~ ( ( p6(X1)
                                                          & ~ p7(X1) )
                                                        | ( ~ p6(X1)
                                                          & p7(X1) ) )
                                                    | ~ r1(X2,X1) )
                                              | ! [X1] :
                                                  ( ~ ! [X2] :
                                                        ( ~ ( ( p7(X2)
                                                              & ~ p8(X2) )
                                                            | ( ~ p7(X2)
                                                              & p8(X2) ) )
                                                        | ~ r1(X1,X2) )
                                                  | ! [X2] :
                                                      ( ~ ! [X1] :
                                                            ( ~ ( ( p8(X1)
                                                                  & ~ p9(X1) )
                                                                | ( ~ p8(X1)
                                                                  & p9(X1) ) )
                                                            | ~ r1(X2,X1) )
                                                      | ! [X1] :
                                                          ( ~ ! [X2] :
                                                                ( ~ ( ( p9(X2)
                                                                      & ~ p10(X2) )
                                                                    | ( ~ p9(X2)
                                                                      & p10(X2) ) )
                                                                | ~ r1(X1,X2) )
                                                          | ! [X2] :
                                                              ( ~ ! [X1] :
                                                                    ( ~ ( ( p10(X1)
                                                                          & ~ p11(X1) )
                                                                        | ( ~ p10(X1)
                                                                          & p11(X1) ) )
                                                                    | ~ r1(X2,X1) )
                                                              | ! [X1] :
                                                                  ( ~ ! [X2] :
                                                                        ( ~ ( ( p11(X2)
                                                                              & ~ p12(X2) )
                                                                            | ( ~ p11(X2)
                                                                              & p12(X2) ) )
                                                                        | ~ r1(X1,X2) )
                                                                  | ! [X2] :
                                                                      ( ~ ! [X1] :
                                                                            ( ~ ( ( p12(X1)
                                                                                  & ~ p13(X1) )
                                                                                | ( ~ p12(X1)
                                                                                  & p13(X1) ) )
                                                                            | ~ r1(X2,X1) )
                                                                      | ! [X1] :
                                                                          ( ~ ! [X2] :
                                                                                ( ~ ( ( p13(X2)
                                                                                      & ~ p14(X2) )
                                                                                    | ( ~ p13(X2)
                                                                                      & p14(X2) ) )
                                                                                | ~ r1(X1,X2) )
                                                                          | ! [X2] :
                                                                              ( ~ ! [X1] :
                                                                                    ( ~ ( ( p14(X1)
                                                                                          & ~ p15(X1) )
                                                                                        | ( ~ p14(X1)
                                                                                          & p15(X1) ) )
                                                                                    | ~ r1(X2,X1) )
                                                                              | ! [X1] :
                                                                                  ( ~ ! [X2] :
                                                                                        ( ~ ( ( p15(X2)
                                                                                              & ~ p16(X2) )
                                                                                            | ( ~ p15(X2)
                                                                                              & p16(X2) ) )
                                                                                        | ~ r1(X1,X2) )
                                                                                  | ! [X2] :
                                                                                      ( ~ ! [X1] :
                                                                                            ( ~ ( ( p16(X1)
                                                                                                  & ~ p17(X1) )
                                                                                                | ( ~ p16(X1)
                                                                                                  & p17(X1) ) )
                                                                                            | ~ r1(X2,X1) )
                                                                                      | ! [X1] :
                                                                                          ( ~ ! [X2] :
                                                                                                ( ~ ( ( p17(X2)
                                                                                                      & ~ p18(X2) )
                                                                                                    | ( ~ p17(X2)
                                                                                                      & p18(X2) ) )
                                                                                                | ~ r1(X1,X2) )
                                                                                          | ! [X2] :
                                                                                              ( ~ ! [X1] :
                                                                                                    ( ~ ( ( p18(X1)
                                                                                                          & ~ p19(X1) )
                                                                                                        | ( ~ p18(X1)
                                                                                                          & p19(X1) ) )
                                                                                                    | ~ r1(X2,X1) )
                                                                                              | ! [X1] :
                                                                                                  ( ~ ! [X2] :
                                                                                                        ( ~ ( ( p19(X2)
                                                                                                              & ~ p20(X2) )
                                                                                                            | ( ~ p19(X2)
                                                                                                              & p20(X2) ) )
                                                                                                        | ~ r1(X1,X2) )
                                                                                                  | ! [X2] :
                                                                                                      ( ~ ! [X1] :
                                                                                                            ( ~ ( ( p20(X1)
                                                                                                                  & ~ p21(X1) )
                                                                                                                | ( ~ p20(X1)
                                                                                                                  & p21(X1) ) )
                                                                                                            | ~ r1(X2,X1) )
                                                                                                      | ! [X1] :
                                                                                                          ( ~ ! [X2] :
                                                                                                                ( ~ ( ( p21(X2)
                                                                                                                      & ~ p22(X2) )
                                                                                                                    | ( ~ p21(X2)
                                                                                                                      & p22(X2) ) )
                                                                                                                | ~ r1(X1,X2) )
                                                                                                          | ! [X2] :
                                                                                                              ( ~ ! [X1] :
                                                                                                                    ( ~ ( ( p22(X1)
                                                                                                                          & ~ p23(X1) )
                                                                                                                        | ( ~ p22(X1)
                                                                                                                          & p23(X1) ) )
                                                                                                                    | ~ r1(X2,X1) )
                                                                                                              | ! [X1] :
                                                                                                                  ( ~ ! [X2] :
                                                                                                                        ( ~ ( ( p23(X2)
                                                                                                                              & ~ p24(X2) )
                                                                                                                            | ( ~ p23(X2)
                                                                                                                              & p24(X2) ) )
                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                  | ! [X2] :
                                                                                                                      ( ~ ! [X1] :
                                                                                                                            ( ~ ( ( p24(X1)
                                                                                                                                  & ~ p25(X1) )
                                                                                                                                | ( ~ p24(X1)
                                                                                                                                  & p25(X1) ) )
                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                      | ! [X1] :
                                                                                                                          ( ~ ! [X2] :
                                                                                                                                ( ~ ( ( p25(X2)
                                                                                                                                      & ~ p26(X2) )
                                                                                                                                    | ( ~ p25(X2)
                                                                                                                                      & p26(X2) ) )
                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                          | ! [X2] :
                                                                                                                              ( ~ ! [X1] :
                                                                                                                                    ( ~ ( ( p26(X1)
                                                                                                                                          & ~ p27(X1) )
                                                                                                                                        | ( ~ p26(X1)
                                                                                                                                          & p27(X1) ) )
                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                              | ! [X1] :
                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                        ( ~ ( ( p27(X2)
                                                                                                                                              & ~ p28(X2) )
                                                                                                                                            | ( ~ p27(X2)
                                                                                                                                              & p28(X2) ) )
                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                  | ! [X2] :
                                                                                                                                      ( ~ ! [X1] :
                                                                                                                                            ( ~ ( ( p28(X1)
                                                                                                                                                  & ~ p29(X1) )
                                                                                                                                                | ( ~ p28(X1)
                                                                                                                                                  & p29(X1) ) )
                                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                                      | ! [X1] :
                                                                                                                                          ( ~ ! [X2] :
                                                                                                                                                ( ~ ( ( p29(X2)
                                                                                                                                                      & ~ p30(X2) )
                                                                                                                                                    | ( ~ p29(X2)
                                                                                                                                                      & p30(X2) ) )
                                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                                          | ! [X2] :
                                                                                                                                              ( ~ ! [X1] :
                                                                                                                                                    ( ~ ( ( p30(X1)
                                                                                                                                                          & ~ p31(X1) )
                                                                                                                                                        | ( ~ p30(X1)
                                                                                                                                                          & p31(X1) ) )
                                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                                              | ! [X1] :
                                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                                        ( ~ ( ( p31(X2)
                                                                                                                                                              & ~ p32(X2) )
                                                                                                                                                            | ( ~ p31(X2)
                                                                                                                                                              & p32(X2) ) )
                                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                                  | ! [X2] :
                                                                                                                                                      ( ~ ! [X1] :
                                                                                                                                                            ( ~ ( ( p32(X1)
                                                                                                                                                                  & ~ p33(X1) )
                                                                                                                                                                | ( ~ p32(X1)
                                                                                                                                                                  & p33(X1) ) )
                                                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                                                      | ! [X1] :
                                                                                                                                                          ( ~ ! [X2] :
                                                                                                                                                                ( ~ ( ( p33(X2)
                                                                                                                                                                      & ~ p34(X2) )
                                                                                                                                                                    | ( ~ p33(X2)
                                                                                                                                                                      & p34(X2) ) )
                                                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                                                          | ! [X2] :
                                                                                                                                                              ( ~ ! [X1] :
                                                                                                                                                                    ( ~ ( ( p34(X1)
                                                                                                                                                                          & ~ p35(X1) )
                                                                                                                                                                        | ( ~ p34(X1)
                                                                                                                                                                          & p35(X1) ) )
                                                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                                                              | ! [X1] :
                                                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                                                        ( ~ ( ( p35(X2)
                                                                                                                                                                              & ~ p36(X2) )
                                                                                                                                                                            | ( ~ p35(X2)
                                                                                                                                                                              & p36(X2) ) )
                                                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                      ( ~ ! [X1] :
                                                                                                                                                                            ( ~ ( ( p36(X1)
                                                                                                                                                                                  & ~ p37(X1) )
                                                                                                                                                                                | ( ~ p36(X1)
                                                                                                                                                                                  & p37(X1) ) )
                                                                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                          ( ~ ! [X2] :
                                                                                                                                                                                ( ~ ( ( p37(X2)
                                                                                                                                                                                      & ~ p38(X2) )
                                                                                                                                                                                    | ( ~ p37(X2)
                                                                                                                                                                                      & p38(X2) ) )
                                                                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                              ( ~ ! [X1] :
                                                                                                                                                                                    ( ~ ( ( p38(X1)
                                                                                                                                                                                          & ~ p39(X1) )
                                                                                                                                                                                        | ( ~ p38(X1)
                                                                                                                                                                                          & p39(X1) ) )
                                                                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                                                                        ( ~ ( ( p39(X2)
                                                                                                                                                                                              & ~ p40(X2) )
                                                                                                                                                                                            | ( ~ p39(X2)
                                                                                                                                                                                              & p40(X2) ) )
                                                                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                      ( ~ ! [X1] :
                                                                                                                                                                                            ( ~ ( ( p40(X1)
                                                                                                                                                                                                  & ~ p41(X1) )
                                                                                                                                                                                                | ( ~ p40(X1)
                                                                                                                                                                                                  & p41(X1) ) )
                                                                                                                                                                                            | ~ r1(X2,X1) )
                                                                                                                                                                                      | ! [X1] :
                                                                                                                                                                                          ( ~ ! [X2] :
                                                                                                                                                                                                ( ~ ( ( p41(X2)
                                                                                                                                                                                                      & ~ p42(X2) )
                                                                                                                                                                                                    | ( ~ p41(X2)
                                                                                                                                                                                                      & p42(X2) ) )
                                                                                                                                                                                                | ~ r1(X1,X2) )
                                                                                                                                                                                          | ! [X2] :
                                                                                                                                                                                              ( ~ ! [X1] :
                                                                                                                                                                                                    ( ~ ( ( p42(X1)
                                                                                                                                                                                                          & ~ p43(X1) )
                                                                                                                                                                                                        | ( ~ p42(X1)
                                                                                                                                                                                                          & p43(X1) ) )
                                                                                                                                                                                                    | ~ r1(X2,X1) )
                                                                                                                                                                                              | ! [X1] :
                                                                                                                                                                                                  ( ~ ! [X2] :
                                                                                                                                                                                                        ( ~ ( ( p43(X2)
                                                                                                                                                                                                              & ~ p44(X2) )
                                                                                                                                                                                                            | ( ~ p43(X2)
                                                                                                                                                                                                              & p44(X2) ) )
                                                                                                                                                                                                        | ~ r1(X1,X2) )
                                                                                                                                                                                                  | ! [X2] :
                                                                                                                                                                                                      ( ~ $true
                                                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                                  | ~ r1(X2,X1) )
                                                                                                                              | ~ r1(X1,X2) )
                                                                                                                          | ~ r1(X2,X1) )
                                                                                                                      | ~ r1(X1,X2) )
                                                                                                                  | ~ r1(X2,X1) )
                                                                                                              | ~ r1(X1,X2) )
                                                                                                          | ~ r1(X2,X1) )
                                                                                                      | ~ r1(X1,X2) )
                                                                                                  | ~ r1(X2,X1) )
                                                                                              | ~ r1(X1,X2) )
                                                                                          | ~ r1(X2,X1) )
                                                                                      | ~ r1(X1,X2) )
                                                                                  | ~ r1(X2,X1) )
                                                                              | ~ r1(X1,X2) )
                                                                          | ~ r1(X2,X1) )
                                                                      | ~ r1(X1,X2) )
                                                                  | ~ r1(X2,X1) )
                                                              | ~ r1(X1,X2) )
                                                          | ~ r1(X2,X1) )
                                                      | ~ r1(X1,X2) )
                                                  | ~ r1(X2,X1) )
                                              | ~ r1(X1,X2) )
                                          | ~ r1(X2,X1) )
                                      | ~ r1(X1,X2) )
                                  | ~ r1(X2,X1) )
                              | ~ r1(X1,X2) ) )
                      | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( ~ p1(X1)
                    | ~ r1(X2,X1) )
                | ~ p45(X2)
                | ~ r1(X1,X2) ) ),
    inference(assume_negation,[status(cth)],[main]) ).

fof(c_0_5,plain,
    ! [X13,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99] :
      ( ( ~ epred1_1(X13)
        | ~ p1(esk49_1(X13))
        | ~ p2(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p2(esk49_1(X13))
        | p1(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p2(esk49_1(X13))
        | ~ p3(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p3(esk49_1(X13))
        | p2(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p3(esk49_1(X13))
        | ~ p4(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p4(esk49_1(X13))
        | p3(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p4(esk49_1(X13))
        | ~ p5(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p5(esk49_1(X13))
        | p4(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p5(esk49_1(X13))
        | ~ p6(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p6(esk49_1(X13))
        | p5(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p6(esk49_1(X13))
        | ~ p7(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p7(esk49_1(X13))
        | p6(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p7(esk49_1(X13))
        | ~ p8(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p8(esk49_1(X13))
        | p7(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p8(esk49_1(X13))
        | ~ p9(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p9(esk49_1(X13))
        | p8(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p9(esk49_1(X13))
        | ~ p10(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p10(esk49_1(X13))
        | p9(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p10(esk49_1(X13))
        | ~ p11(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p11(esk49_1(X13))
        | p10(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p11(esk49_1(X13))
        | ~ p12(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p12(esk49_1(X13))
        | p11(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p12(esk49_1(X13))
        | ~ p13(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p13(esk49_1(X13))
        | p12(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p13(esk49_1(X13))
        | ~ p14(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p14(esk49_1(X13))
        | p13(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p14(esk49_1(X13))
        | ~ p15(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p15(esk49_1(X13))
        | p14(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p15(esk49_1(X13))
        | ~ p16(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p16(esk49_1(X13))
        | p15(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p16(esk49_1(X13))
        | ~ p17(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p17(esk49_1(X13))
        | p16(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p17(esk49_1(X13))
        | ~ p18(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p18(esk49_1(X13))
        | p17(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p18(esk49_1(X13))
        | ~ p19(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p19(esk49_1(X13))
        | p18(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p19(esk49_1(X13))
        | ~ p20(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p20(esk49_1(X13))
        | p19(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p20(esk49_1(X13))
        | ~ p21(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p21(esk49_1(X13))
        | p20(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p21(esk49_1(X13))
        | ~ p22(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p22(esk49_1(X13))
        | p21(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p22(esk49_1(X13))
        | ~ p23(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p23(esk49_1(X13))
        | p22(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p23(esk49_1(X13))
        | ~ p24(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p24(esk49_1(X13))
        | p23(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p24(esk49_1(X13))
        | ~ p25(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p25(esk49_1(X13))
        | p24(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p25(esk49_1(X13))
        | ~ p26(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p26(esk49_1(X13))
        | p25(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p26(esk49_1(X13))
        | ~ p27(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p27(esk49_1(X13))
        | p26(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p27(esk49_1(X13))
        | ~ p28(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p28(esk49_1(X13))
        | p27(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p28(esk49_1(X13))
        | ~ p29(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p29(esk49_1(X13))
        | p28(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p29(esk49_1(X13))
        | ~ p30(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p30(esk49_1(X13))
        | p29(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p30(esk49_1(X13))
        | ~ p31(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p31(esk49_1(X13))
        | p30(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p31(esk49_1(X13))
        | ~ p32(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p32(esk49_1(X13))
        | p31(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p32(esk49_1(X13))
        | ~ p33(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p33(esk49_1(X13))
        | p32(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p33(esk49_1(X13))
        | ~ p34(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p34(esk49_1(X13))
        | p33(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p34(esk49_1(X13))
        | ~ p35(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p35(esk49_1(X13))
        | p34(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p35(esk49_1(X13))
        | ~ p36(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p36(esk49_1(X13))
        | p35(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p36(esk49_1(X13))
        | ~ p37(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p37(esk49_1(X13))
        | p36(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p37(esk49_1(X13))
        | ~ p38(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p38(esk49_1(X13))
        | p37(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p38(esk49_1(X13))
        | ~ p39(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p39(esk49_1(X13))
        | p38(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p39(esk49_1(X13))
        | ~ p40(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p40(esk49_1(X13))
        | p39(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p40(esk49_1(X13))
        | ~ p41(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p41(esk49_1(X13))
        | p40(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p41(esk49_1(X13))
        | ~ p42(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p42(esk49_1(X13))
        | p41(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p42(esk49_1(X13))
        | ~ p43(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p43(esk49_1(X13))
        | p42(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p43(esk49_1(X13))
        | ~ p44(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | p44(esk49_1(X13))
        | p43(esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(X13,esk49_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ p45(esk48_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(X13,esk48_1(X13)) )
      & ( ~ epred1_1(X13)
        | ~ r1(X13,X99)
        | ~ p1(X99)
        | p2(X99) )
      & ( ~ epred1_1(X13)
        | ~ r1(X13,X99)
        | p1(X99)
        | ~ p2(X99) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk5_1(X13),X98)
        | ~ p2(X98)
        | p3(X98) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk5_1(X13),X98)
        | p2(X98)
        | ~ p3(X98) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk6_1(X13),X97)
        | ~ p3(X97)
        | p4(X97) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk6_1(X13),X97)
        | p3(X97)
        | ~ p4(X97) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk7_1(X13),X96)
        | ~ p4(X96)
        | p5(X96) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk7_1(X13),X96)
        | p4(X96)
        | ~ p5(X96) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk8_1(X13),X95)
        | ~ p5(X95)
        | p6(X95) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk8_1(X13),X95)
        | p5(X95)
        | ~ p6(X95) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk9_1(X13),X94)
        | ~ p6(X94)
        | p7(X94) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk9_1(X13),X94)
        | p6(X94)
        | ~ p7(X94) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk10_1(X13),X93)
        | ~ p7(X93)
        | p8(X93) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk10_1(X13),X93)
        | p7(X93)
        | ~ p8(X93) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk11_1(X13),X92)
        | ~ p8(X92)
        | p9(X92) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk11_1(X13),X92)
        | p8(X92)
        | ~ p9(X92) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk12_1(X13),X91)
        | ~ p9(X91)
        | p10(X91) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk12_1(X13),X91)
        | p9(X91)
        | ~ p10(X91) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk13_1(X13),X90)
        | ~ p10(X90)
        | p11(X90) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk13_1(X13),X90)
        | p10(X90)
        | ~ p11(X90) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk14_1(X13),X89)
        | ~ p11(X89)
        | p12(X89) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk14_1(X13),X89)
        | p11(X89)
        | ~ p12(X89) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk15_1(X13),X88)
        | ~ p12(X88)
        | p13(X88) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk15_1(X13),X88)
        | p12(X88)
        | ~ p13(X88) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk16_1(X13),X87)
        | ~ p13(X87)
        | p14(X87) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk16_1(X13),X87)
        | p13(X87)
        | ~ p14(X87) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk17_1(X13),X86)
        | ~ p14(X86)
        | p15(X86) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk17_1(X13),X86)
        | p14(X86)
        | ~ p15(X86) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk18_1(X13),X85)
        | ~ p15(X85)
        | p16(X85) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk18_1(X13),X85)
        | p15(X85)
        | ~ p16(X85) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk19_1(X13),X84)
        | ~ p16(X84)
        | p17(X84) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk19_1(X13),X84)
        | p16(X84)
        | ~ p17(X84) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk20_1(X13),X83)
        | ~ p17(X83)
        | p18(X83) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk20_1(X13),X83)
        | p17(X83)
        | ~ p18(X83) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk21_1(X13),X82)
        | ~ p18(X82)
        | p19(X82) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk21_1(X13),X82)
        | p18(X82)
        | ~ p19(X82) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk22_1(X13),X81)
        | ~ p19(X81)
        | p20(X81) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk22_1(X13),X81)
        | p19(X81)
        | ~ p20(X81) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk23_1(X13),X80)
        | ~ p20(X80)
        | p21(X80) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk23_1(X13),X80)
        | p20(X80)
        | ~ p21(X80) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk24_1(X13),X79)
        | ~ p21(X79)
        | p22(X79) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk24_1(X13),X79)
        | p21(X79)
        | ~ p22(X79) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk25_1(X13),X78)
        | ~ p22(X78)
        | p23(X78) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk25_1(X13),X78)
        | p22(X78)
        | ~ p23(X78) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk26_1(X13),X77)
        | ~ p23(X77)
        | p24(X77) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk26_1(X13),X77)
        | p23(X77)
        | ~ p24(X77) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk27_1(X13),X76)
        | ~ p24(X76)
        | p25(X76) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk27_1(X13),X76)
        | p24(X76)
        | ~ p25(X76) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk28_1(X13),X75)
        | ~ p25(X75)
        | p26(X75) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk28_1(X13),X75)
        | p25(X75)
        | ~ p26(X75) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk29_1(X13),X74)
        | ~ p26(X74)
        | p27(X74) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk29_1(X13),X74)
        | p26(X74)
        | ~ p27(X74) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk30_1(X13),X73)
        | ~ p27(X73)
        | p28(X73) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk30_1(X13),X73)
        | p27(X73)
        | ~ p28(X73) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk31_1(X13),X72)
        | ~ p28(X72)
        | p29(X72) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk31_1(X13),X72)
        | p28(X72)
        | ~ p29(X72) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk32_1(X13),X71)
        | ~ p29(X71)
        | p30(X71) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk32_1(X13),X71)
        | p29(X71)
        | ~ p30(X71) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk33_1(X13),X70)
        | ~ p30(X70)
        | p31(X70) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk33_1(X13),X70)
        | p30(X70)
        | ~ p31(X70) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk34_1(X13),X69)
        | ~ p31(X69)
        | p32(X69) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk34_1(X13),X69)
        | p31(X69)
        | ~ p32(X69) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk35_1(X13),X68)
        | ~ p32(X68)
        | p33(X68) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk35_1(X13),X68)
        | p32(X68)
        | ~ p33(X68) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk36_1(X13),X67)
        | ~ p33(X67)
        | p34(X67) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk36_1(X13),X67)
        | p33(X67)
        | ~ p34(X67) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk37_1(X13),X66)
        | ~ p34(X66)
        | p35(X66) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk37_1(X13),X66)
        | p34(X66)
        | ~ p35(X66) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk38_1(X13),X65)
        | ~ p35(X65)
        | p36(X65) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk38_1(X13),X65)
        | p35(X65)
        | ~ p36(X65) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk39_1(X13),X64)
        | ~ p36(X64)
        | p37(X64) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk39_1(X13),X64)
        | p36(X64)
        | ~ p37(X64) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk40_1(X13),X63)
        | ~ p37(X63)
        | p38(X63) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk40_1(X13),X63)
        | p37(X63)
        | ~ p38(X63) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk41_1(X13),X62)
        | ~ p38(X62)
        | p39(X62) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk41_1(X13),X62)
        | p38(X62)
        | ~ p39(X62) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk42_1(X13),X61)
        | ~ p39(X61)
        | p40(X61) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk42_1(X13),X61)
        | p39(X61)
        | ~ p40(X61) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk43_1(X13),X60)
        | ~ p40(X60)
        | p41(X60) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk43_1(X13),X60)
        | p40(X60)
        | ~ p41(X60) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk44_1(X13),X59)
        | ~ p41(X59)
        | p42(X59) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk44_1(X13),X59)
        | p41(X59)
        | ~ p42(X59) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk45_1(X13),X58)
        | ~ p42(X58)
        | p43(X58) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk45_1(X13),X58)
        | p42(X58)
        | ~ p43(X58) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk46_1(X13),X57)
        | ~ p43(X57)
        | p44(X57) )
      & ( ~ epred1_1(X13)
        | ~ r1(esk46_1(X13),X57)
        | p43(X57)
        | ~ p44(X57) )
      & ( ~ epred1_1(X13)
        | $true )
      & ( ~ epred1_1(X13)
        | r1(esk46_1(X13),esk47_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk45_1(X13),esk46_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk44_1(X13),esk45_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk43_1(X13),esk44_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk42_1(X13),esk43_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk41_1(X13),esk42_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk40_1(X13),esk41_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk39_1(X13),esk40_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk38_1(X13),esk39_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk37_1(X13),esk38_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk36_1(X13),esk37_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk35_1(X13),esk36_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk34_1(X13),esk35_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk33_1(X13),esk34_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk32_1(X13),esk33_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk31_1(X13),esk32_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk30_1(X13),esk31_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk29_1(X13),esk30_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk28_1(X13),esk29_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk27_1(X13),esk28_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk26_1(X13),esk27_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk25_1(X13),esk26_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk24_1(X13),esk25_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk23_1(X13),esk24_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk22_1(X13),esk23_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk21_1(X13),esk22_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk20_1(X13),esk21_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk19_1(X13),esk20_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk18_1(X13),esk19_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk17_1(X13),esk18_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk16_1(X13),esk17_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk15_1(X13),esk16_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk14_1(X13),esk15_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk13_1(X13),esk14_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk12_1(X13),esk13_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk11_1(X13),esk12_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk10_1(X13),esk11_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk9_1(X13),esk10_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk8_1(X13),esk9_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk7_1(X13),esk8_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk6_1(X13),esk7_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(esk5_1(X13),esk6_1(X13)) )
      & ( ~ epred1_1(X13)
        | r1(X13,esk5_1(X13)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ ! [X1] :
                      ( epred1_1(X1)
                      | ~ r1(X2,X1) )
                | ~ r1(X1,X2) )
            | ! [X2] :
                ( ! [X1] :
                    ( ~ p1(X1)
                    | ~ r1(X2,X1) )
                | ~ p45(X2)
                | ~ r1(X1,X2) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4]),c_0_2]) ).

cnf(c_0_7,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | ~ p2(X1)
    | p1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( ~ epred1_1(X1)
    | r1(X1,esk49_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ epred1_1(X1)
    | p2(esk49_1(X1))
    | p1(esk49_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_10,negated_conjecture,
    ! [X12] :
      ( ( epred1_1(X12)
        | ~ r1(esk4_0,X12) )
      & r1(esk1_0,esk4_0)
      & p1(esk3_0)
      & r1(esk2_0,esk3_0)
      & p45(esk2_0)
      & r1(esk1_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).

fof(c_0_11,plain,
    ! [X4] : r1(X4,X4),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_12,plain,
    ( ~ epred1_1(X1)
    | ~ p1(esk49_1(X1))
    | ~ p2(esk49_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,plain,
    ( ~ epred1_1(X1)
    | p1(esk49_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ r1(esk4_0,X1)
    | epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | ~ p1(X1)
    | p2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,plain,
    ( ~ p2(esk49_1(X1))
    | ~ epred1_1(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    epred1_1(esk4_0),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ~ epred1_1(X1),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_8]),c_0_13]),c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_18,c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n007.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 00:56:05 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.46  % Version: 3.5.1
% 0.33/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.33/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.33/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.33/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.33/0.46  % Starting sh5l with 300s (1) cores
% 0.33/0.46  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4008825 completed with status 0
% 0.33/0.46  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.33/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.33/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.33/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.33/0.46  % No SInE strategy applied
% 0.33/0.46  % Search class: FGHNF-FSLS11-SFFFFFNN
% 0.33/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.33/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.33/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.33/0.46  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.33/0.46  % Starting new_bool_3 with 136s (1) cores
% 0.33/0.46  % Starting new_bool_1 with 136s (1) cores
% 0.33/0.46  % SubtermCWHack with pid 4008835 completed with status 0
% 0.33/0.46  % Result found by SubtermCWHack
% 0.33/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.33/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.33/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.33/0.46  % No SInE strategy applied
% 0.33/0.46  % Search class: FGHNF-FSLS11-SFFFFFNN
% 0.33/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.33/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.33/0.46  % Preprocessing time       : 0.002 s
% 0.33/0.46  
% 0.33/0.46  % Proof found!
% 0.33/0.46  % SZS status Theorem
% 0.33/0.46  % SZS output start CNFRefutation
% See solution above
% 0.33/0.46  % Parsed axioms                        : 3
% 0.33/0.46  % Removed by relevancy pruning/SinE    : 0
% 0.33/0.46  % Initial clauses                      : 227
% 0.33/0.46  % Removed in clause preprocessing      : 1
% 0.33/0.46  % Initial clauses in saturation        : 226
% 0.33/0.46  % Processed clauses                    : 207
% 0.33/0.46  % ...of these trivial                  : 0
% 0.33/0.46  % ...subsumed                          : 0
% 0.33/0.46  % ...remaining for further processing  : 207
% 0.33/0.46  % Other redundant clauses eliminated   : 0
% 0.33/0.46  % Clauses deleted for lack of memory   : 0
% 0.33/0.46  % Backward-subsumed                    : 195
% 0.33/0.46  % Backward-rewritten                   : 0
% 0.33/0.46  % Generated clauses                    : 230
% 0.33/0.46  % ...of the previous two non-redundant : 167
% 0.33/0.46  % ...aggressively subsumed             : 0
% 0.33/0.46  % Contextual simplify-reflections      : 4
% 0.33/0.46  % Paramodulations                      : 226
% 0.33/0.46  % Factorizations                       : 0
% 0.33/0.46  % NegExts                              : 0
% 0.33/0.46  % Equation resolutions                 : 0
% 0.33/0.46  % Disequality decompositions           : 0
% 0.33/0.46  % Total rewrite steps                  : 7
% 0.33/0.46  % ...of those cached                   : 5
% 0.33/0.46  % Propositional unsat checks           : 0
% 0.33/0.46  %    Propositional check models        : 0
% 0.33/0.46  %    Propositional check unsatisfiable : 0
% 0.33/0.46  %    Propositional clauses             : 0
% 0.33/0.46  %    Propositional clauses after purity: 0
% 0.33/0.46  %    Propositional unsat core size     : 0
% 0.33/0.46  %    Propositional preprocessing time  : 0.000
% 0.33/0.46  %    Propositional encoding time       : 0.000
% 0.33/0.46  %    Propositional solver time         : 0.000
% 0.33/0.46  %    Success case prop preproc time    : 0.000
% 0.33/0.46  %    Success case prop encoding time   : 0.000
% 0.33/0.46  %    Success case prop solver time     : 0.000
% 0.33/0.46  % Current number of processed clauses  : 8
% 0.33/0.46  %    Positive orientable unit clauses  : 6
% 0.33/0.46  %    Positive unorientable unit clauses: 0
% 0.33/0.46  %    Negative unit clauses             : 1
% 0.33/0.46  %    Non-unit-clauses                  : 1
% 0.33/0.46  % Current number of unprocessed clauses: 184
% 0.33/0.46  % ...number of literals in the above   : 726
% 0.33/0.46  % Current number of archived formulas  : 0
% 0.33/0.46  % Current number of archived clauses   : 199
% 0.33/0.46  % Clause-clause subsumption calls (NU) : 5024
% 0.33/0.46  % Rec. Clause-clause subsumption calls : 3793
% 0.33/0.46  % Non-unit clause-clause subsumptions  : 81
% 0.33/0.46  % Unit Clause-clause subsumption calls : 120
% 0.33/0.46  % Rewrite failures with RHS unbound    : 0
% 0.33/0.46  % BW rewrite match attempts            : 3
% 0.33/0.46  % BW rewrite match successes           : 0
% 0.33/0.46  % Condensation attempts                : 0
% 0.33/0.46  % Condensation successes               : 0
% 0.33/0.46  % Termbank termtop insertions          : 21713
% 0.33/0.46  % Search garbage collected termcells   : 4026
% 0.33/0.46  
% 0.33/0.46  % -------------------------------------------------
% 0.33/0.46  % User time                : 0.018 s
% 0.33/0.46  % System time              : 0.007 s
% 0.33/0.46  % Total time               : 0.025 s
% 0.33/0.46  % Maximum resident set size: 4204 pages
% 0.33/0.46  
% 0.33/0.46  % -------------------------------------------------
% 0.33/0.46  % User time                : 0.044 s
% 0.33/0.46  % System time              : 0.024 s
% 0.33/0.46  % Total time               : 0.067 s
% 0.33/0.46  % Maximum resident set size: 4608 pages
% 0.33/0.46  % E exiting
%------------------------------------------------------------------------------