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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 : Tue Sep 29 11:56:15 AM UTC 2026

% Result   : Theorem 0.80s 1.32s
% Output   : Refutation 2.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   53 (   9 unt;  16 def)
%            Number of atoms       : 2481 (   0 equ)
%            Maximal formula atoms :  290 (  46 avg)
%            Number of connectives : 4120 (1692   ~;1385   |;1042   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  102 (  22 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   48 (  47 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :  482 (   0 sgn 402   !;  80   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f3,conjecture,
    ~ ? [X0] :
        ~ ( ! [X1] :
              ( ~ r1(X0,X1)
              | ~ p30(X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ~ p1(X0) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ~ ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ( ! [X1] :
                            ( ~ r1(X0,X1)
                            | ! [X0] :
                                ( ~ r1(X1,X0)
                                | ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | ! [X0] :
                                        ( ~ r1(X1,X0)
                                        | ! [X1] :
                                            ( ~ r1(X0,X1)
                                            | ! [X0] :
                                                ( ~ r1(X1,X0)
                                                | ! [X1] :
                                                    ( ~ r1(X0,X1)
                                                    | ! [X0] :
                                                        ( ~ r1(X1,X0)
                                                        | ! [X1] :
                                                            ( ~ r1(X0,X1)
                                                            | ! [X0] :
                                                                ( ~ r1(X1,X0)
                                                                | ! [X1] :
                                                                    ( ~ r1(X0,X1)
                                                                    | ! [X0] :
                                                                        ( ~ r1(X1,X0)
                                                                        | ! [X1] :
                                                                            ( ~ r1(X0,X1)
                                                                            | ! [X0] :
                                                                                ( ~ r1(X1,X0)
                                                                                | ! [X1] :
                                                                                    ( ~ r1(X0,X1)
                                                                                    | ! [X0] :
                                                                                        ( ~ r1(X1,X0)
                                                                                        | ! [X1] :
                                                                                            ( ~ r1(X0,X1)
                                                                                            | ! [X0] :
                                                                                                ( ~ r1(X1,X0)
                                                                                                | ! [X1] :
                                                                                                    ( ~ r1(X0,X1)
                                                                                                    | ! [X0] :
                                                                                                        ( ~ r1(X1,X0)
                                                                                                        | ! [X1] :
                                                                                                            ( ~ r1(X0,X1)
                                                                                                            | ! [X0] :
                                                                                                                ( ~ r1(X1,X0)
                                                                                                                | ! [X1] :
                                                                                                                    ( ~ r1(X0,X1)
                                                                                                                    | ! [X0] :
                                                                                                                        ( ~ r1(X1,X0)
                                                                                                                        | ! [X1] :
                                                                                                                            ( ~ r1(X0,X1)
                                                                                                                            | ! [X0] :
                                                                                                                                ( ~ r1(X1,X0)
                                                                                                                                | ! [X1] :
                                                                                                                                    ( ~ r1(X0,X1)
                                                                                                                                    | ! [X0] :
                                                                                                                                        ( ~ r1(X1,X0)
                                                                                                                                        | $false )
                                                                                                                                    | ~ ! [X0] :
                                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                                          | ~ ( ( p29(X0)
                                                                                                                                                & ~ p28(X0) )
                                                                                                                                              | ( ~ p29(X0)
                                                                                                                                                & p28(X0) ) ) ) )
                                                                                                                                | ~ ! [X1] :
                                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                                      | ~ ( ( p28(X1)
                                                                                                                                            & ~ p27(X1) )
                                                                                                                                          | ( ~ p28(X1)
                                                                                                                                            & p27(X1) ) ) ) )
                                                                                                                            | ~ ! [X0] :
                                                                                                                                  ( ~ r1(X1,X0)
                                                                                                                                  | ~ ( ( p27(X0)
                                                                                                                                        & ~ p26(X0) )
                                                                                                                                      | ( ~ p27(X0)
                                                                                                                                        & p26(X0) ) ) ) )
                                                                                                                        | ~ ! [X1] :
                                                                                                                              ( ~ r1(X0,X1)
                                                                                                                              | ~ ( ( p26(X1)
                                                                                                                                    & ~ p25(X1) )
                                                                                                                                  | ( ~ p26(X1)
                                                                                                                                    & p25(X1) ) ) ) )
                                                                                                                    | ~ ! [X0] :
                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                          | ~ ( ( p25(X0)
                                                                                                                                & ~ p24(X0) )
                                                                                                                              | ( ~ p25(X0)
                                                                                                                                & p24(X0) ) ) ) )
                                                                                                                | ~ ! [X1] :
                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                      | ~ ( ( p24(X1)
                                                                                                                            & ~ p23(X1) )
                                                                                                                          | ( ~ p24(X1)
                                                                                                                            & p23(X1) ) ) ) )
                                                                                                            | ~ ! [X0] :
                                                                                                                  ( ~ r1(X1,X0)
                                                                                                                  | ~ ( ( p23(X0)
                                                                                                                        & ~ p22(X0) )
                                                                                                                      | ( ~ p23(X0)
                                                                                                                        & p22(X0) ) ) ) )
                                                                                                        | ~ ! [X1] :
                                                                                                              ( ~ r1(X0,X1)
                                                                                                              | ~ ( ( p22(X1)
                                                                                                                    & ~ p21(X1) )
                                                                                                                  | ( ~ p22(X1)
                                                                                                                    & p21(X1) ) ) ) )
                                                                                                    | ~ ! [X0] :
                                                                                                          ( ~ r1(X1,X0)
                                                                                                          | ~ ( ( p21(X0)
                                                                                                                & ~ p20(X0) )
                                                                                                              | ( ~ p21(X0)
                                                                                                                & p20(X0) ) ) ) )
                                                                                                | ~ ! [X1] :
                                                                                                      ( ~ r1(X0,X1)
                                                                                                      | ~ ( ( p20(X1)
                                                                                                            & ~ p19(X1) )
                                                                                                          | ( ~ p20(X1)
                                                                                                            & p19(X1) ) ) ) )
                                                                                            | ~ ! [X0] :
                                                                                                  ( ~ r1(X1,X0)
                                                                                                  | ~ ( ( p19(X0)
                                                                                                        & ~ p18(X0) )
                                                                                                      | ( ~ p19(X0)
                                                                                                        & p18(X0) ) ) ) )
                                                                                        | ~ ! [X1] :
                                                                                              ( ~ r1(X0,X1)
                                                                                              | ~ ( ( p18(X1)
                                                                                                    & ~ p17(X1) )
                                                                                                  | ( ~ p18(X1)
                                                                                                    & p17(X1) ) ) ) )
                                                                                    | ~ ! [X0] :
                                                                                          ( ~ r1(X1,X0)
                                                                                          | ~ ( ( p17(X0)
                                                                                                & ~ p16(X0) )
                                                                                              | ( ~ p17(X0)
                                                                                                & p16(X0) ) ) ) )
                                                                                | ~ ! [X1] :
                                                                                      ( ~ r1(X0,X1)
                                                                                      | ~ ( ( p16(X1)
                                                                                            & ~ p15(X1) )
                                                                                          | ( ~ p16(X1)
                                                                                            & p15(X1) ) ) ) )
                                                                            | ~ ! [X0] :
                                                                                  ( ~ r1(X1,X0)
                                                                                  | ~ ( ( p15(X0)
                                                                                        & ~ p14(X0) )
                                                                                      | ( ~ p15(X0)
                                                                                        & p14(X0) ) ) ) )
                                                                        | ~ ! [X1] :
                                                                              ( ~ r1(X0,X1)
                                                                              | ~ ( ( p14(X1)
                                                                                    & ~ p13(X1) )
                                                                                  | ( ~ p14(X1)
                                                                                    & p13(X1) ) ) ) )
                                                                    | ~ ! [X0] :
                                                                          ( ~ r1(X1,X0)
                                                                          | ~ ( ( p13(X0)
                                                                                & ~ p12(X0) )
                                                                              | ( ~ p13(X0)
                                                                                & p12(X0) ) ) ) )
                                                                | ~ ! [X1] :
                                                                      ( ~ r1(X0,X1)
                                                                      | ~ ( ( p12(X1)
                                                                            & ~ p11(X1) )
                                                                          | ( ~ p12(X1)
                                                                            & p11(X1) ) ) ) )
                                                            | ~ ! [X0] :
                                                                  ( ~ r1(X1,X0)
                                                                  | ~ ( ( p11(X0)
                                                                        & ~ p10(X0) )
                                                                      | ( ~ p11(X0)
                                                                        & p10(X0) ) ) ) )
                                                        | ~ ! [X1] :
                                                              ( ~ r1(X0,X1)
                                                              | ~ ( ( p10(X1)
                                                                    & ~ p9(X1) )
                                                                  | ( ~ p10(X1)
                                                                    & p9(X1) ) ) ) )
                                                    | ~ ! [X0] :
                                                          ( ~ r1(X1,X0)
                                                          | ~ ( ( p9(X0)
                                                                & ~ p8(X0) )
                                                              | ( ~ p9(X0)
                                                                & p8(X0) ) ) ) )
                                                | ~ ! [X1] :
                                                      ( ~ r1(X0,X1)
                                                      | ~ ( ( p8(X1)
                                                            & ~ p7(X1) )
                                                          | ( ~ p8(X1)
                                                            & p7(X1) ) ) ) )
                                            | ~ ! [X0] :
                                                  ( ~ r1(X1,X0)
                                                  | ~ ( ( p7(X0)
                                                        & ~ p6(X0) )
                                                      | ( ~ p7(X0)
                                                        & p6(X0) ) ) ) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | ~ ( ( p6(X1)
                                                    & ~ p5(X1) )
                                                  | ( ~ p6(X1)
                                                    & p5(X1) ) ) ) )
                                    | ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ( ( p5(X0)
                                                & ~ p4(X0) )
                                              | ( ~ p5(X0)
                                                & p4(X0) ) ) ) )
                                | ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ( ( p4(X1)
                                            & ~ p3(X1) )
                                          | ( ~ p4(X1)
                                            & p3(X1) ) ) ) )
                            | ~ ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ~ ( ( p3(X0)
                                        & ~ p2(X0) )
                                      | ( ~ p3(X0)
                                        & p2(X0) ) ) ) )
                        | ~ ! [X1] :
                              ( ~ r1(X0,X1)
                              | ~ ( ( p2(X1)
                                    & ~ p1(X1) )
                                  | ( ~ p2(X1)
                                    & p1(X1) ) ) )
                        | ! [X1] :
                            ( ~ r1(X0,X1)
                            | p30(X1) )
                        | ! [X1] :
                            ( ~ r1(X0,X1)
                            | ( ~ p28(X1)
                              & ~ p29(X1) )
                            | ( p29(X1)
                              & p28(X1) )
                            | ( ~ p27(X1)
                              & ~ p28(X1) )
                            | ( p28(X1)
                              & p27(X1) )
                            | ( ~ p26(X1)
                              & ~ p27(X1) )
                            | ( p27(X1)
                              & p26(X1) )
                            | ( ~ p25(X1)
                              & ~ p26(X1) )
                            | ( p26(X1)
                              & p25(X1) )
                            | ( ~ p24(X1)
                              & ~ p25(X1) )
                            | ( p25(X1)
                              & p24(X1) )
                            | ( ~ p23(X1)
                              & ~ p24(X1) )
                            | ( p24(X1)
                              & p23(X1) )
                            | ( ~ p22(X1)
                              & ~ p23(X1) )
                            | ( p23(X1)
                              & p22(X1) )
                            | ( ~ p21(X1)
                              & ~ p22(X1) )
                            | ( p22(X1)
                              & p21(X1) )
                            | ( ~ p20(X1)
                              & ~ p21(X1) )
                            | ( p21(X1)
                              & p20(X1) )
                            | ( ~ p19(X1)
                              & ~ p20(X1) )
                            | ( p20(X1)
                              & p19(X1) )
                            | ( ~ p18(X1)
                              & ~ p19(X1) )
                            | ( p19(X1)
                              & p18(X1) )
                            | ( ~ p17(X1)
                              & ~ p18(X1) )
                            | ( p18(X1)
                              & p17(X1) )
                            | ( ~ p16(X1)
                              & ~ p17(X1) )
                            | ( p17(X1)
                              & p16(X1) )
                            | ( ~ p15(X1)
                              & ~ p16(X1) )
                            | ( p16(X1)
                              & p15(X1) )
                            | ( ~ p14(X1)
                              & ~ p15(X1) )
                            | ( p15(X1)
                              & p14(X1) )
                            | ( ~ p13(X1)
                              & ~ p14(X1) )
                            | ( p14(X1)
                              & p13(X1) )
                            | ( ~ p12(X1)
                              & ~ p13(X1) )
                            | ( p13(X1)
                              & p12(X1) )
                            | ( ~ p11(X1)
                              & ~ p12(X1) )
                            | ( p12(X1)
                              & p11(X1) )
                            | ( ~ p10(X1)
                              & ~ p11(X1) )
                            | ( p11(X1)
                              & p10(X1) )
                            | ( ~ p9(X1)
                              & ~ p10(X1) )
                            | ( p10(X1)
                              & p9(X1) )
                            | ( ~ p8(X1)
                              & ~ p9(X1) )
                            | ( p9(X1)
                              & p8(X1) )
                            | ( ~ p7(X1)
                              & ~ p8(X1) )
                            | ( p8(X1)
                              & p7(X1) )
                            | ( ~ p6(X1)
                              & ~ p7(X1) )
                            | ( p7(X1)
                              & p6(X1) )
                            | ( ~ p5(X1)
                              & ~ p6(X1) )
                            | ( p6(X1)
                              & p5(X1) )
                            | ( ~ p4(X1)
                              & ~ p5(X1) )
                            | ( p5(X1)
                              & p4(X1) )
                            | ( ~ p3(X1)
                              & ~ p4(X1) )
                            | ( p4(X1)
                              & p3(X1) )
                            | ( ~ p2(X1)
                              & ~ p3(X1) )
                            | ( p3(X1)
                              & p2(X1) )
                            | ( ~ p1(X1)
                              & ~ p2(X1) )
                            | ( p2(X1)
                              & p1(X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f4,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ r1(X0,X1)
                | ~ p30(X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ p1(X0) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ( ! [X1] :
                              ( ~ r1(X0,X1)
                              | ! [X0] :
                                  ( ~ r1(X1,X0)
                                  | ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ! [X1] :
                                              ( ~ r1(X0,X1)
                                              | ! [X0] :
                                                  ( ~ r1(X1,X0)
                                                  | ! [X1] :
                                                      ( ~ r1(X0,X1)
                                                      | ! [X0] :
                                                          ( ~ r1(X1,X0)
                                                          | ! [X1] :
                                                              ( ~ r1(X0,X1)
                                                              | ! [X0] :
                                                                  ( ~ r1(X1,X0)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X0,X1)
                                                                      | ! [X0] :
                                                                          ( ~ r1(X1,X0)
                                                                          | ! [X1] :
                                                                              ( ~ r1(X0,X1)
                                                                              | ! [X0] :
                                                                                  ( ~ r1(X1,X0)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X0,X1)
                                                                                      | ! [X0] :
                                                                                          ( ~ r1(X1,X0)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X0,X1)
                                                                                              | ! [X0] :
                                                                                                  ( ~ r1(X1,X0)
                                                                                                  | ! [X1] :
                                                                                                      ( ~ r1(X0,X1)
                                                                                                      | ! [X0] :
                                                                                                          ( ~ r1(X1,X0)
                                                                                                          | ! [X1] :
                                                                                                              ( ~ r1(X0,X1)
                                                                                                              | ! [X0] :
                                                                                                                  ( ~ r1(X1,X0)
                                                                                                                  | ! [X1] :
                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                      | ! [X0] :
                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                          | ! [X1] :
                                                                                                                              ( ~ r1(X0,X1)
                                                                                                                              | ! [X0] :
                                                                                                                                  ( ~ r1(X1,X0)
                                                                                                                                  | ! [X1] :
                                                                                                                                      ( ~ r1(X0,X1)
                                                                                                                                      | ! [X0] :
                                                                                                                                          ( ~ r1(X1,X0)
                                                                                                                                          | $false )
                                                                                                                                      | ~ ! [X0] :
                                                                                                                                            ( ~ r1(X1,X0)
                                                                                                                                            | ~ ( ( p29(X0)
                                                                                                                                                  & ~ p28(X0) )
                                                                                                                                                | ( ~ p29(X0)
                                                                                                                                                  & p28(X0) ) ) ) )
                                                                                                                                  | ~ ! [X1] :
                                                                                                                                        ( ~ r1(X0,X1)
                                                                                                                                        | ~ ( ( p28(X1)
                                                                                                                                              & ~ p27(X1) )
                                                                                                                                            | ( ~ p28(X1)
                                                                                                                                              & p27(X1) ) ) ) )
                                                                                                                              | ~ ! [X0] :
                                                                                                                                    ( ~ r1(X1,X0)
                                                                                                                                    | ~ ( ( p27(X0)
                                                                                                                                          & ~ p26(X0) )
                                                                                                                                        | ( ~ p27(X0)
                                                                                                                                          & p26(X0) ) ) ) )
                                                                                                                          | ~ ! [X1] :
                                                                                                                                ( ~ r1(X0,X1)
                                                                                                                                | ~ ( ( p26(X1)
                                                                                                                                      & ~ p25(X1) )
                                                                                                                                    | ( ~ p26(X1)
                                                                                                                                      & p25(X1) ) ) ) )
                                                                                                                      | ~ ! [X0] :
                                                                                                                            ( ~ r1(X1,X0)
                                                                                                                            | ~ ( ( p25(X0)
                                                                                                                                  & ~ p24(X0) )
                                                                                                                                | ( ~ p25(X0)
                                                                                                                                  & p24(X0) ) ) ) )
                                                                                                                  | ~ ! [X1] :
                                                                                                                        ( ~ r1(X0,X1)
                                                                                                                        | ~ ( ( p24(X1)
                                                                                                                              & ~ p23(X1) )
                                                                                                                            | ( ~ p24(X1)
                                                                                                                              & p23(X1) ) ) ) )
                                                                                                              | ~ ! [X0] :
                                                                                                                    ( ~ r1(X1,X0)
                                                                                                                    | ~ ( ( p23(X0)
                                                                                                                          & ~ p22(X0) )
                                                                                                                        | ( ~ p23(X0)
                                                                                                                          & p22(X0) ) ) ) )
                                                                                                          | ~ ! [X1] :
                                                                                                                ( ~ r1(X0,X1)
                                                                                                                | ~ ( ( p22(X1)
                                                                                                                      & ~ p21(X1) )
                                                                                                                    | ( ~ p22(X1)
                                                                                                                      & p21(X1) ) ) ) )
                                                                                                      | ~ ! [X0] :
                                                                                                            ( ~ r1(X1,X0)
                                                                                                            | ~ ( ( p21(X0)
                                                                                                                  & ~ p20(X0) )
                                                                                                                | ( ~ p21(X0)
                                                                                                                  & p20(X0) ) ) ) )
                                                                                                  | ~ ! [X1] :
                                                                                                        ( ~ r1(X0,X1)
                                                                                                        | ~ ( ( p20(X1)
                                                                                                              & ~ p19(X1) )
                                                                                                            | ( ~ p20(X1)
                                                                                                              & p19(X1) ) ) ) )
                                                                                              | ~ ! [X0] :
                                                                                                    ( ~ r1(X1,X0)
                                                                                                    | ~ ( ( p19(X0)
                                                                                                          & ~ p18(X0) )
                                                                                                        | ( ~ p19(X0)
                                                                                                          & p18(X0) ) ) ) )
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X0,X1)
                                                                                                | ~ ( ( p18(X1)
                                                                                                      & ~ p17(X1) )
                                                                                                    | ( ~ p18(X1)
                                                                                                      & p17(X1) ) ) ) )
                                                                                      | ~ ! [X0] :
                                                                                            ( ~ r1(X1,X0)
                                                                                            | ~ ( ( p17(X0)
                                                                                                  & ~ p16(X0) )
                                                                                                | ( ~ p17(X0)
                                                                                                  & p16(X0) ) ) ) )
                                                                                  | ~ ! [X1] :
                                                                                        ( ~ r1(X0,X1)
                                                                                        | ~ ( ( p16(X1)
                                                                                              & ~ p15(X1) )
                                                                                            | ( ~ p16(X1)
                                                                                              & p15(X1) ) ) ) )
                                                                              | ~ ! [X0] :
                                                                                    ( ~ r1(X1,X0)
                                                                                    | ~ ( ( p15(X0)
                                                                                          & ~ p14(X0) )
                                                                                        | ( ~ p15(X0)
                                                                                          & p14(X0) ) ) ) )
                                                                          | ~ ! [X1] :
                                                                                ( ~ r1(X0,X1)
                                                                                | ~ ( ( p14(X1)
                                                                                      & ~ p13(X1) )
                                                                                    | ( ~ p14(X1)
                                                                                      & p13(X1) ) ) ) )
                                                                      | ~ ! [X0] :
                                                                            ( ~ r1(X1,X0)
                                                                            | ~ ( ( p13(X0)
                                                                                  & ~ p12(X0) )
                                                                                | ( ~ p13(X0)
                                                                                  & p12(X0) ) ) ) )
                                                                  | ~ ! [X1] :
                                                                        ( ~ r1(X0,X1)
                                                                        | ~ ( ( p12(X1)
                                                                              & ~ p11(X1) )
                                                                            | ( ~ p12(X1)
                                                                              & p11(X1) ) ) ) )
                                                              | ~ ! [X0] :
                                                                    ( ~ r1(X1,X0)
                                                                    | ~ ( ( p11(X0)
                                                                          & ~ p10(X0) )
                                                                        | ( ~ p11(X0)
                                                                          & p10(X0) ) ) ) )
                                                          | ~ ! [X1] :
                                                                ( ~ r1(X0,X1)
                                                                | ~ ( ( p10(X1)
                                                                      & ~ p9(X1) )
                                                                    | ( ~ p10(X1)
                                                                      & p9(X1) ) ) ) )
                                                      | ~ ! [X0] :
                                                            ( ~ r1(X1,X0)
                                                            | ~ ( ( p9(X0)
                                                                  & ~ p8(X0) )
                                                                | ( ~ p9(X0)
                                                                  & p8(X0) ) ) ) )
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X0,X1)
                                                        | ~ ( ( p8(X1)
                                                              & ~ p7(X1) )
                                                            | ( ~ p8(X1)
                                                              & p7(X1) ) ) ) )
                                              | ~ ! [X0] :
                                                    ( ~ r1(X1,X0)
                                                    | ~ ( ( p7(X0)
                                                          & ~ p6(X0) )
                                                        | ( ~ p7(X0)
                                                          & p6(X0) ) ) ) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ ( ( p6(X1)
                                                      & ~ p5(X1) )
                                                    | ( ~ p6(X1)
                                                      & p5(X1) ) ) ) )
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ ( ( p5(X0)
                                                  & ~ p4(X0) )
                                                | ( ~ p5(X0)
                                                  & p4(X0) ) ) ) )
                                  | ~ ! [X1] :
                                        ( ~ r1(X0,X1)
                                        | ~ ( ( p4(X1)
                                              & ~ p3(X1) )
                                            | ( ~ p4(X1)
                                              & p3(X1) ) ) ) )
                              | ~ ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | ~ ( ( p3(X0)
                                          & ~ p2(X0) )
                                        | ( ~ p3(X0)
                                          & p2(X0) ) ) ) )
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ( ( p2(X1)
                                      & ~ p1(X1) )
                                    | ( ~ p2(X1)
                                      & p1(X1) ) ) )
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p30(X1) )
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | ( ~ p28(X1)
                                & ~ p29(X1) )
                              | ( p29(X1)
                                & p28(X1) )
                              | ( ~ p27(X1)
                                & ~ p28(X1) )
                              | ( p28(X1)
                                & p27(X1) )
                              | ( ~ p26(X1)
                                & ~ p27(X1) )
                              | ( p27(X1)
                                & p26(X1) )
                              | ( ~ p25(X1)
                                & ~ p26(X1) )
                              | ( p26(X1)
                                & p25(X1) )
                              | ( ~ p24(X1)
                                & ~ p25(X1) )
                              | ( p25(X1)
                                & p24(X1) )
                              | ( ~ p23(X1)
                                & ~ p24(X1) )
                              | ( p24(X1)
                                & p23(X1) )
                              | ( ~ p22(X1)
                                & ~ p23(X1) )
                              | ( p23(X1)
                                & p22(X1) )
                              | ( ~ p21(X1)
                                & ~ p22(X1) )
                              | ( p22(X1)
                                & p21(X1) )
                              | ( ~ p20(X1)
                                & ~ p21(X1) )
                              | ( p21(X1)
                                & p20(X1) )
                              | ( ~ p19(X1)
                                & ~ p20(X1) )
                              | ( p20(X1)
                                & p19(X1) )
                              | ( ~ p18(X1)
                                & ~ p19(X1) )
                              | ( p19(X1)
                                & p18(X1) )
                              | ( ~ p17(X1)
                                & ~ p18(X1) )
                              | ( p18(X1)
                                & p17(X1) )
                              | ( ~ p16(X1)
                                & ~ p17(X1) )
                              | ( p17(X1)
                                & p16(X1) )
                              | ( ~ p15(X1)
                                & ~ p16(X1) )
                              | ( p16(X1)
                                & p15(X1) )
                              | ( ~ p14(X1)
                                & ~ p15(X1) )
                              | ( p15(X1)
                                & p14(X1) )
                              | ( ~ p13(X1)
                                & ~ p14(X1) )
                              | ( p14(X1)
                                & p13(X1) )
                              | ( ~ p12(X1)
                                & ~ p13(X1) )
                              | ( p13(X1)
                                & p12(X1) )
                              | ( ~ p11(X1)
                                & ~ p12(X1) )
                              | ( p12(X1)
                                & p11(X1) )
                              | ( ~ p10(X1)
                                & ~ p11(X1) )
                              | ( p11(X1)
                                & p10(X1) )
                              | ( ~ p9(X1)
                                & ~ p10(X1) )
                              | ( p10(X1)
                                & p9(X1) )
                              | ( ~ p8(X1)
                                & ~ p9(X1) )
                              | ( p9(X1)
                                & p8(X1) )
                              | ( ~ p7(X1)
                                & ~ p8(X1) )
                              | ( p8(X1)
                                & p7(X1) )
                              | ( ~ p6(X1)
                                & ~ p7(X1) )
                              | ( p7(X1)
                                & p6(X1) )
                              | ( ~ p5(X1)
                                & ~ p6(X1) )
                              | ( p6(X1)
                                & p5(X1) )
                              | ( ~ p4(X1)
                                & ~ p5(X1) )
                              | ( p5(X1)
                                & p4(X1) )
                              | ( ~ p3(X1)
                                & ~ p4(X1) )
                              | ( p4(X1)
                                & p3(X1) )
                              | ( ~ p2(X1)
                                & ~ p3(X1) )
                              | ( p3(X1)
                                & p2(X1) )
                              | ( ~ p1(X1)
                                & ~ p2(X1) )
                              | ( p2(X1)
                                & p1(X1) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ r1(X0,X1)
                | ~ p30(X1)
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ p1(X2) ) )
            | ! [X3] :
                ( ~ r1(X0,X3)
                | ~ ! [X4] :
                      ( ~ r1(X3,X4)
                      | ~ ( ! [X5] :
                              ( ~ r1(X4,X5)
                              | ! [X6] :
                                  ( ~ r1(X5,X6)
                                  | ! [X7] :
                                      ( ~ r1(X6,X7)
                                      | ! [X8] :
                                          ( ~ r1(X7,X8)
                                          | ! [X9] :
                                              ( ~ r1(X8,X9)
                                              | ! [X10] :
                                                  ( ~ r1(X9,X10)
                                                  | ! [X11] :
                                                      ( ~ r1(X10,X11)
                                                      | ! [X12] :
                                                          ( ~ r1(X11,X12)
                                                          | ! [X13] :
                                                              ( ~ r1(X12,X13)
                                                              | ! [X14] :
                                                                  ( ~ r1(X13,X14)
                                                                  | ! [X15] :
                                                                      ( ~ r1(X14,X15)
                                                                      | ! [X16] :
                                                                          ( ~ r1(X15,X16)
                                                                          | ! [X17] :
                                                                              ( ~ r1(X16,X17)
                                                                              | ! [X18] :
                                                                                  ( ~ r1(X17,X18)
                                                                                  | ! [X19] :
                                                                                      ( ~ r1(X18,X19)
                                                                                      | ! [X20] :
                                                                                          ( ~ r1(X19,X20)
                                                                                          | ! [X21] :
                                                                                              ( ~ r1(X20,X21)
                                                                                              | ! [X22] :
                                                                                                  ( ~ r1(X21,X22)
                                                                                                  | ! [X23] :
                                                                                                      ( ~ r1(X22,X23)
                                                                                                      | ! [X24] :
                                                                                                          ( ~ r1(X23,X24)
                                                                                                          | ! [X25] :
                                                                                                              ( ~ r1(X24,X25)
                                                                                                              | ! [X26] :
                                                                                                                  ( ~ r1(X25,X26)
                                                                                                                  | ! [X27] :
                                                                                                                      ( ~ r1(X26,X27)
                                                                                                                      | ! [X28] :
                                                                                                                          ( ~ r1(X27,X28)
                                                                                                                          | ! [X29] :
                                                                                                                              ( ~ r1(X28,X29)
                                                                                                                              | ! [X30] :
                                                                                                                                  ( ~ r1(X29,X30)
                                                                                                                                  | ! [X31] :
                                                                                                                                      ( ~ r1(X30,X31)
                                                                                                                                      | ! [X32] :
                                                                                                                                          ( ~ r1(X31,X32)
                                                                                                                                          | $false )
                                                                                                                                      | ~ ! [X33] :
                                                                                                                                            ( ~ r1(X31,X33)
                                                                                                                                            | ~ ( ( p29(X33)
                                                                                                                                                  & ~ p28(X33) )
                                                                                                                                                | ( ~ p29(X33)
                                                                                                                                                  & p28(X33) ) ) ) )
                                                                                                                                  | ~ ! [X34] :
                                                                                                                                        ( ~ r1(X30,X34)
                                                                                                                                        | ~ ( ( p28(X34)
                                                                                                                                              & ~ p27(X34) )
                                                                                                                                            | ( ~ p28(X34)
                                                                                                                                              & p27(X34) ) ) ) )
                                                                                                                              | ~ ! [X35] :
                                                                                                                                    ( ~ r1(X29,X35)
                                                                                                                                    | ~ ( ( p27(X35)
                                                                                                                                          & ~ p26(X35) )
                                                                                                                                        | ( ~ p27(X35)
                                                                                                                                          & p26(X35) ) ) ) )
                                                                                                                          | ~ ! [X36] :
                                                                                                                                ( ~ r1(X28,X36)
                                                                                                                                | ~ ( ( p26(X36)
                                                                                                                                      & ~ p25(X36) )
                                                                                                                                    | ( ~ p26(X36)
                                                                                                                                      & p25(X36) ) ) ) )
                                                                                                                      | ~ ! [X37] :
                                                                                                                            ( ~ r1(X27,X37)
                                                                                                                            | ~ ( ( p25(X37)
                                                                                                                                  & ~ p24(X37) )
                                                                                                                                | ( ~ p25(X37)
                                                                                                                                  & p24(X37) ) ) ) )
                                                                                                                  | ~ ! [X38] :
                                                                                                                        ( ~ r1(X26,X38)
                                                                                                                        | ~ ( ( p24(X38)
                                                                                                                              & ~ p23(X38) )
                                                                                                                            | ( ~ p24(X38)
                                                                                                                              & p23(X38) ) ) ) )
                                                                                                              | ~ ! [X39] :
                                                                                                                    ( ~ r1(X25,X39)
                                                                                                                    | ~ ( ( p23(X39)
                                                                                                                          & ~ p22(X39) )
                                                                                                                        | ( ~ p23(X39)
                                                                                                                          & p22(X39) ) ) ) )
                                                                                                          | ~ ! [X40] :
                                                                                                                ( ~ r1(X24,X40)
                                                                                                                | ~ ( ( p22(X40)
                                                                                                                      & ~ p21(X40) )
                                                                                                                    | ( ~ p22(X40)
                                                                                                                      & p21(X40) ) ) ) )
                                                                                                      | ~ ! [X41] :
                                                                                                            ( ~ r1(X23,X41)
                                                                                                            | ~ ( ( p21(X41)
                                                                                                                  & ~ p20(X41) )
                                                                                                                | ( ~ p21(X41)
                                                                                                                  & p20(X41) ) ) ) )
                                                                                                  | ~ ! [X42] :
                                                                                                        ( ~ r1(X22,X42)
                                                                                                        | ~ ( ( p20(X42)
                                                                                                              & ~ p19(X42) )
                                                                                                            | ( ~ p20(X42)
                                                                                                              & p19(X42) ) ) ) )
                                                                                              | ~ ! [X43] :
                                                                                                    ( ~ r1(X21,X43)
                                                                                                    | ~ ( ( p19(X43)
                                                                                                          & ~ p18(X43) )
                                                                                                        | ( ~ p19(X43)
                                                                                                          & p18(X43) ) ) ) )
                                                                                          | ~ ! [X44] :
                                                                                                ( ~ r1(X20,X44)
                                                                                                | ~ ( ( p18(X44)
                                                                                                      & ~ p17(X44) )
                                                                                                    | ( ~ p18(X44)
                                                                                                      & p17(X44) ) ) ) )
                                                                                      | ~ ! [X45] :
                                                                                            ( ~ r1(X19,X45)
                                                                                            | ~ ( ( p17(X45)
                                                                                                  & ~ p16(X45) )
                                                                                                | ( ~ p17(X45)
                                                                                                  & p16(X45) ) ) ) )
                                                                                  | ~ ! [X46] :
                                                                                        ( ~ r1(X18,X46)
                                                                                        | ~ ( ( p16(X46)
                                                                                              & ~ p15(X46) )
                                                                                            | ( ~ p16(X46)
                                                                                              & p15(X46) ) ) ) )
                                                                              | ~ ! [X47] :
                                                                                    ( ~ r1(X17,X47)
                                                                                    | ~ ( ( p15(X47)
                                                                                          & ~ p14(X47) )
                                                                                        | ( ~ p15(X47)
                                                                                          & p14(X47) ) ) ) )
                                                                          | ~ ! [X48] :
                                                                                ( ~ r1(X16,X48)
                                                                                | ~ ( ( p14(X48)
                                                                                      & ~ p13(X48) )
                                                                                    | ( ~ p14(X48)
                                                                                      & p13(X48) ) ) ) )
                                                                      | ~ ! [X49] :
                                                                            ( ~ r1(X15,X49)
                                                                            | ~ ( ( p13(X49)
                                                                                  & ~ p12(X49) )
                                                                                | ( ~ p13(X49)
                                                                                  & p12(X49) ) ) ) )
                                                                  | ~ ! [X50] :
                                                                        ( ~ r1(X14,X50)
                                                                        | ~ ( ( p12(X50)
                                                                              & ~ p11(X50) )
                                                                            | ( ~ p12(X50)
                                                                              & p11(X50) ) ) ) )
                                                              | ~ ! [X51] :
                                                                    ( ~ r1(X13,X51)
                                                                    | ~ ( ( p11(X51)
                                                                          & ~ p10(X51) )
                                                                        | ( ~ p11(X51)
                                                                          & p10(X51) ) ) ) )
                                                          | ~ ! [X52] :
                                                                ( ~ r1(X12,X52)
                                                                | ~ ( ( p10(X52)
                                                                      & ~ p9(X52) )
                                                                    | ( ~ p10(X52)
                                                                      & p9(X52) ) ) ) )
                                                      | ~ ! [X53] :
                                                            ( ~ r1(X11,X53)
                                                            | ~ ( ( p9(X53)
                                                                  & ~ p8(X53) )
                                                                | ( ~ p9(X53)
                                                                  & p8(X53) ) ) ) )
                                                  | ~ ! [X54] :
                                                        ( ~ r1(X10,X54)
                                                        | ~ ( ( p8(X54)
                                                              & ~ p7(X54) )
                                                            | ( ~ p8(X54)
                                                              & p7(X54) ) ) ) )
                                              | ~ ! [X55] :
                                                    ( ~ r1(X9,X55)
                                                    | ~ ( ( p7(X55)
                                                          & ~ p6(X55) )
                                                        | ( ~ p7(X55)
                                                          & p6(X55) ) ) ) )
                                          | ~ ! [X56] :
                                                ( ~ r1(X8,X56)
                                                | ~ ( ( p6(X56)
                                                      & ~ p5(X56) )
                                                    | ( ~ p6(X56)
                                                      & p5(X56) ) ) ) )
                                      | ~ ! [X57] :
                                            ( ~ r1(X7,X57)
                                            | ~ ( ( p5(X57)
                                                  & ~ p4(X57) )
                                                | ( ~ p5(X57)
                                                  & p4(X57) ) ) ) )
                                  | ~ ! [X58] :
                                        ( ~ r1(X6,X58)
                                        | ~ ( ( p4(X58)
                                              & ~ p3(X58) )
                                            | ( ~ p4(X58)
                                              & p3(X58) ) ) ) )
                              | ~ ! [X59] :
                                    ( ~ r1(X5,X59)
                                    | ~ ( ( p3(X59)
                                          & ~ p2(X59) )
                                        | ( ~ p3(X59)
                                          & p2(X59) ) ) ) )
                          | ~ ! [X60] :
                                ( ~ r1(X4,X60)
                                | ~ ( ( p2(X60)
                                      & ~ p1(X60) )
                                    | ( ~ p2(X60)
                                      & p1(X60) ) ) )
                          | ! [X61] :
                              ( ~ r1(X4,X61)
                              | p30(X61) )
                          | ! [X62] :
                              ( ~ r1(X4,X62)
                              | ( ~ p28(X62)
                                & ~ p29(X62) )
                              | ( p29(X62)
                                & p28(X62) )
                              | ( ~ p27(X62)
                                & ~ p28(X62) )
                              | ( p28(X62)
                                & p27(X62) )
                              | ( ~ p26(X62)
                                & ~ p27(X62) )
                              | ( p27(X62)
                                & p26(X62) )
                              | ( ~ p25(X62)
                                & ~ p26(X62) )
                              | ( p26(X62)
                                & p25(X62) )
                              | ( ~ p24(X62)
                                & ~ p25(X62) )
                              | ( p25(X62)
                                & p24(X62) )
                              | ( ~ p23(X62)
                                & ~ p24(X62) )
                              | ( p24(X62)
                                & p23(X62) )
                              | ( ~ p22(X62)
                                & ~ p23(X62) )
                              | ( p23(X62)
                                & p22(X62) )
                              | ( ~ p21(X62)
                                & ~ p22(X62) )
                              | ( p22(X62)
                                & p21(X62) )
                              | ( ~ p20(X62)
                                & ~ p21(X62) )
                              | ( p21(X62)
                                & p20(X62) )
                              | ( ~ p19(X62)
                                & ~ p20(X62) )
                              | ( p20(X62)
                                & p19(X62) )
                              | ( ~ p18(X62)
                                & ~ p19(X62) )
                              | ( p19(X62)
                                & p18(X62) )
                              | ( ~ p17(X62)
                                & ~ p18(X62) )
                              | ( p18(X62)
                                & p17(X62) )
                              | ( ~ p16(X62)
                                & ~ p17(X62) )
                              | ( p17(X62)
                                & p16(X62) )
                              | ( ~ p15(X62)
                                & ~ p16(X62) )
                              | ( p16(X62)
                                & p15(X62) )
                              | ( ~ p14(X62)
                                & ~ p15(X62) )
                              | ( p15(X62)
                                & p14(X62) )
                              | ( ~ p13(X62)
                                & ~ p14(X62) )
                              | ( p14(X62)
                                & p13(X62) )
                              | ( ~ p12(X62)
                                & ~ p13(X62) )
                              | ( p13(X62)
                                & p12(X62) )
                              | ( ~ p11(X62)
                                & ~ p12(X62) )
                              | ( p12(X62)
                                & p11(X62) )
                              | ( ~ p10(X62)
                                & ~ p11(X62) )
                              | ( p11(X62)
                                & p10(X62) )
                              | ( ~ p9(X62)
                                & ~ p10(X62) )
                              | ( p10(X62)
                                & p9(X62) )
                              | ( ~ p8(X62)
                                & ~ p9(X62) )
                              | ( p9(X62)
                                & p8(X62) )
                              | ( ~ p7(X62)
                                & ~ p8(X62) )
                              | ( p8(X62)
                                & p7(X62) )
                              | ( ~ p6(X62)
                                & ~ p7(X62) )
                              | ( p7(X62)
                                & p6(X62) )
                              | ( ~ p5(X62)
                                & ~ p6(X62) )
                              | ( p6(X62)
                                & p5(X62) )
                              | ( ~ p4(X62)
                                & ~ p5(X62) )
                              | ( p5(X62)
                                & p4(X62) )
                              | ( ~ p3(X62)
                                & ~ p4(X62) )
                              | ( p4(X62)
                                & p3(X62) )
                              | ( ~ p2(X62)
                                & ~ p3(X62) )
                              | ( p3(X62)
                                & p2(X62) )
                              | ( ~ p1(X62)
                                & ~ p2(X62) )
                              | ( p2(X62)
                                & p1(X62) ) ) ) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f6,plain,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ r1(X0,X1)
                | ~ p30(X1)
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ p1(X2) ) )
            | ! [X3] :
                ( ~ r1(X0,X3)
                | ~ ! [X4] :
                      ( ~ r1(X3,X4)
                      | ~ ( ! [X5] :
                              ( ~ r1(X4,X5)
                              | ! [X6] :
                                  ( ~ r1(X5,X6)
                                  | ! [X7] :
                                      ( ~ r1(X6,X7)
                                      | ! [X8] :
                                          ( ~ r1(X7,X8)
                                          | ! [X9] :
                                              ( ~ r1(X8,X9)
                                              | ! [X10] :
                                                  ( ~ r1(X9,X10)
                                                  | ! [X11] :
                                                      ( ~ r1(X10,X11)
                                                      | ! [X12] :
                                                          ( ~ r1(X11,X12)
                                                          | ! [X13] :
                                                              ( ~ r1(X12,X13)
                                                              | ! [X14] :
                                                                  ( ~ r1(X13,X14)
                                                                  | ! [X15] :
                                                                      ( ~ r1(X14,X15)
                                                                      | ! [X16] :
                                                                          ( ~ r1(X15,X16)
                                                                          | ! [X17] :
                                                                              ( ~ r1(X16,X17)
                                                                              | ! [X18] :
                                                                                  ( ~ r1(X17,X18)
                                                                                  | ! [X19] :
                                                                                      ( ~ r1(X18,X19)
                                                                                      | ! [X20] :
                                                                                          ( ~ r1(X19,X20)
                                                                                          | ! [X21] :
                                                                                              ( ~ r1(X20,X21)
                                                                                              | ! [X22] :
                                                                                                  ( ~ r1(X21,X22)
                                                                                                  | ! [X23] :
                                                                                                      ( ~ r1(X22,X23)
                                                                                                      | ! [X24] :
                                                                                                          ( ~ r1(X23,X24)
                                                                                                          | ! [X25] :
                                                                                                              ( ~ r1(X24,X25)
                                                                                                              | ! [X26] :
                                                                                                                  ( ~ r1(X25,X26)
                                                                                                                  | ! [X27] :
                                                                                                                      ( ~ r1(X26,X27)
                                                                                                                      | ! [X28] :
                                                                                                                          ( ~ r1(X27,X28)
                                                                                                                          | ! [X29] :
                                                                                                                              ( ~ r1(X28,X29)
                                                                                                                              | ! [X30] :
                                                                                                                                  ( ~ r1(X29,X30)
                                                                                                                                  | ! [X31] :
                                                                                                                                      ( ~ r1(X30,X31)
                                                                                                                                      | ! [X32] : ~ r1(X31,X32)
                                                                                                                                      | ~ ! [X33] :
                                                                                                                                            ( ~ r1(X31,X33)
                                                                                                                                            | ~ ( ( p29(X33)
                                                                                                                                                  & ~ p28(X33) )
                                                                                                                                                | ( ~ p29(X33)
                                                                                                                                                  & p28(X33) ) ) ) )
                                                                                                                                  | ~ ! [X34] :
                                                                                                                                        ( ~ r1(X30,X34)
                                                                                                                                        | ~ ( ( p28(X34)
                                                                                                                                              & ~ p27(X34) )
                                                                                                                                            | ( ~ p28(X34)
                                                                                                                                              & p27(X34) ) ) ) )
                                                                                                                              | ~ ! [X35] :
                                                                                                                                    ( ~ r1(X29,X35)
                                                                                                                                    | ~ ( ( p27(X35)
                                                                                                                                          & ~ p26(X35) )
                                                                                                                                        | ( ~ p27(X35)
                                                                                                                                          & p26(X35) ) ) ) )
                                                                                                                          | ~ ! [X36] :
                                                                                                                                ( ~ r1(X28,X36)
                                                                                                                                | ~ ( ( p26(X36)
                                                                                                                                      & ~ p25(X36) )
                                                                                                                                    | ( ~ p26(X36)
                                                                                                                                      & p25(X36) ) ) ) )
                                                                                                                      | ~ ! [X37] :
                                                                                                                            ( ~ r1(X27,X37)
                                                                                                                            | ~ ( ( p25(X37)
                                                                                                                                  & ~ p24(X37) )
                                                                                                                                | ( ~ p25(X37)
                                                                                                                                  & p24(X37) ) ) ) )
                                                                                                                  | ~ ! [X38] :
                                                                                                                        ( ~ r1(X26,X38)
                                                                                                                        | ~ ( ( p24(X38)
                                                                                                                              & ~ p23(X38) )
                                                                                                                            | ( ~ p24(X38)
                                                                                                                              & p23(X38) ) ) ) )
                                                                                                              | ~ ! [X39] :
                                                                                                                    ( ~ r1(X25,X39)
                                                                                                                    | ~ ( ( p23(X39)
                                                                                                                          & ~ p22(X39) )
                                                                                                                        | ( ~ p23(X39)
                                                                                                                          & p22(X39) ) ) ) )
                                                                                                          | ~ ! [X40] :
                                                                                                                ( ~ r1(X24,X40)
                                                                                                                | ~ ( ( p22(X40)
                                                                                                                      & ~ p21(X40) )
                                                                                                                    | ( ~ p22(X40)
                                                                                                                      & p21(X40) ) ) ) )
                                                                                                      | ~ ! [X41] :
                                                                                                            ( ~ r1(X23,X41)
                                                                                                            | ~ ( ( p21(X41)
                                                                                                                  & ~ p20(X41) )
                                                                                                                | ( ~ p21(X41)
                                                                                                                  & p20(X41) ) ) ) )
                                                                                                  | ~ ! [X42] :
                                                                                                        ( ~ r1(X22,X42)
                                                                                                        | ~ ( ( p20(X42)
                                                                                                              & ~ p19(X42) )
                                                                                                            | ( ~ p20(X42)
                                                                                                              & p19(X42) ) ) ) )
                                                                                              | ~ ! [X43] :
                                                                                                    ( ~ r1(X21,X43)
                                                                                                    | ~ ( ( p19(X43)
                                                                                                          & ~ p18(X43) )
                                                                                                        | ( ~ p19(X43)
                                                                                                          & p18(X43) ) ) ) )
                                                                                          | ~ ! [X44] :
                                                                                                ( ~ r1(X20,X44)
                                                                                                | ~ ( ( p18(X44)
                                                                                                      & ~ p17(X44) )
                                                                                                    | ( ~ p18(X44)
                                                                                                      & p17(X44) ) ) ) )
                                                                                      | ~ ! [X45] :
                                                                                            ( ~ r1(X19,X45)
                                                                                            | ~ ( ( p17(X45)
                                                                                                  & ~ p16(X45) )
                                                                                                | ( ~ p17(X45)
                                                                                                  & p16(X45) ) ) ) )
                                                                                  | ~ ! [X46] :
                                                                                        ( ~ r1(X18,X46)
                                                                                        | ~ ( ( p16(X46)
                                                                                              & ~ p15(X46) )
                                                                                            | ( ~ p16(X46)
                                                                                              & p15(X46) ) ) ) )
                                                                              | ~ ! [X47] :
                                                                                    ( ~ r1(X17,X47)
                                                                                    | ~ ( ( p15(X47)
                                                                                          & ~ p14(X47) )
                                                                                        | ( ~ p15(X47)
                                                                                          & p14(X47) ) ) ) )
                                                                          | ~ ! [X48] :
                                                                                ( ~ r1(X16,X48)
                                                                                | ~ ( ( p14(X48)
                                                                                      & ~ p13(X48) )
                                                                                    | ( ~ p14(X48)
                                                                                      & p13(X48) ) ) ) )
                                                                      | ~ ! [X49] :
                                                                            ( ~ r1(X15,X49)
                                                                            | ~ ( ( p13(X49)
                                                                                  & ~ p12(X49) )
                                                                                | ( ~ p13(X49)
                                                                                  & p12(X49) ) ) ) )
                                                                  | ~ ! [X50] :
                                                                        ( ~ r1(X14,X50)
                                                                        | ~ ( ( p12(X50)
                                                                              & ~ p11(X50) )
                                                                            | ( ~ p12(X50)
                                                                              & p11(X50) ) ) ) )
                                                              | ~ ! [X51] :
                                                                    ( ~ r1(X13,X51)
                                                                    | ~ ( ( p11(X51)
                                                                          & ~ p10(X51) )
                                                                        | ( ~ p11(X51)
                                                                          & p10(X51) ) ) ) )
                                                          | ~ ! [X52] :
                                                                ( ~ r1(X12,X52)
                                                                | ~ ( ( p10(X52)
                                                                      & ~ p9(X52) )
                                                                    | ( ~ p10(X52)
                                                                      & p9(X52) ) ) ) )
                                                      | ~ ! [X53] :
                                                            ( ~ r1(X11,X53)
                                                            | ~ ( ( p9(X53)
                                                                  & ~ p8(X53) )
                                                                | ( ~ p9(X53)
                                                                  & p8(X53) ) ) ) )
                                                  | ~ ! [X54] :
                                                        ( ~ r1(X10,X54)
                                                        | ~ ( ( p8(X54)
                                                              & ~ p7(X54) )
                                                            | ( ~ p8(X54)
                                                              & p7(X54) ) ) ) )
                                              | ~ ! [X55] :
                                                    ( ~ r1(X9,X55)
                                                    | ~ ( ( p7(X55)
                                                          & ~ p6(X55) )
                                                        | ( ~ p7(X55)
                                                          & p6(X55) ) ) ) )
                                          | ~ ! [X56] :
                                                ( ~ r1(X8,X56)
                                                | ~ ( ( p6(X56)
                                                      & ~ p5(X56) )
                                                    | ( ~ p6(X56)
                                                      & p5(X56) ) ) ) )
                                      | ~ ! [X57] :
                                            ( ~ r1(X7,X57)
                                            | ~ ( ( p5(X57)
                                                  & ~ p4(X57) )
                                                | ( ~ p5(X57)
                                                  & p4(X57) ) ) ) )
                                  | ~ ! [X58] :
                                        ( ~ r1(X6,X58)
                                        | ~ ( ( p4(X58)
                                              & ~ p3(X58) )
                                            | ( ~ p4(X58)
                                              & p3(X58) ) ) ) )
                              | ~ ! [X59] :
                                    ( ~ r1(X5,X59)
                                    | ~ ( ( p3(X59)
                                          & ~ p2(X59) )
                                        | ( ~ p3(X59)
                                          & p2(X59) ) ) ) )
                          | ~ ! [X60] :
                                ( ~ r1(X4,X60)
                                | ~ ( ( p2(X60)
                                      & ~ p1(X60) )
                                    | ( ~ p2(X60)
                                      & p1(X60) ) ) )
                          | ! [X61] :
                              ( ~ r1(X4,X61)
                              | p30(X61) )
                          | ! [X62] :
                              ( ~ r1(X4,X62)
                              | ( ~ p28(X62)
                                & ~ p29(X62) )
                              | ( p29(X62)
                                & p28(X62) )
                              | ( ~ p27(X62)
                                & ~ p28(X62) )
                              | ( p28(X62)
                                & p27(X62) )
                              | ( ~ p26(X62)
                                & ~ p27(X62) )
                              | ( p27(X62)
                                & p26(X62) )
                              | ( ~ p25(X62)
                                & ~ p26(X62) )
                              | ( p26(X62)
                                & p25(X62) )
                              | ( ~ p24(X62)
                                & ~ p25(X62) )
                              | ( p25(X62)
                                & p24(X62) )
                              | ( ~ p23(X62)
                                & ~ p24(X62) )
                              | ( p24(X62)
                                & p23(X62) )
                              | ( ~ p22(X62)
                                & ~ p23(X62) )
                              | ( p23(X62)
                                & p22(X62) )
                              | ( ~ p21(X62)
                                & ~ p22(X62) )
                              | ( p22(X62)
                                & p21(X62) )
                              | ( ~ p20(X62)
                                & ~ p21(X62) )
                              | ( p21(X62)
                                & p20(X62) )
                              | ( ~ p19(X62)
                                & ~ p20(X62) )
                              | ( p20(X62)
                                & p19(X62) )
                              | ( ~ p18(X62)
                                & ~ p19(X62) )
                              | ( p19(X62)
                                & p18(X62) )
                              | ( ~ p17(X62)
                                & ~ p18(X62) )
                              | ( p18(X62)
                                & p17(X62) )
                              | ( ~ p16(X62)
                                & ~ p17(X62) )
                              | ( p17(X62)
                                & p16(X62) )
                              | ( ~ p15(X62)
                                & ~ p16(X62) )
                              | ( p16(X62)
                                & p15(X62) )
                              | ( ~ p14(X62)
                                & ~ p15(X62) )
                              | ( p15(X62)
                                & p14(X62) )
                              | ( ~ p13(X62)
                                & ~ p14(X62) )
                              | ( p14(X62)
                                & p13(X62) )
                              | ( ~ p12(X62)
                                & ~ p13(X62) )
                              | ( p13(X62)
                                & p12(X62) )
                              | ( ~ p11(X62)
                                & ~ p12(X62) )
                              | ( p12(X62)
                                & p11(X62) )
                              | ( ~ p10(X62)
                                & ~ p11(X62) )
                              | ( p11(X62)
                                & p10(X62) )
                              | ( ~ p9(X62)
                                & ~ p10(X62) )
                              | ( p10(X62)
                                & p9(X62) )
                              | ( ~ p8(X62)
                                & ~ p9(X62) )
                              | ( p9(X62)
                                & p8(X62) )
                              | ( ~ p7(X62)
                                & ~ p8(X62) )
                              | ( p8(X62)
                                & p7(X62) )
                              | ( ~ p6(X62)
                                & ~ p7(X62) )
                              | ( p7(X62)
                                & p6(X62) )
                              | ( ~ p5(X62)
                                & ~ p6(X62) )
                              | ( p6(X62)
                                & p5(X62) )
                              | ( ~ p4(X62)
                                & ~ p5(X62) )
                              | ( p5(X62)
                                & p4(X62) )
                              | ( ~ p3(X62)
                                & ~ p4(X62) )
                              | ( p4(X62)
                                & p3(X62) )
                              | ( ~ p2(X62)
                                & ~ p3(X62) )
                              | ( p3(X62)
                                & p2(X62) )
                              | ( ~ p1(X62)
                                & ~ p2(X62) )
                              | ( p2(X62)
                                & p1(X62) ) ) ) ) ) ),
    inference(true_and_false_elimination,[],[f5]) ).

fof(f7,plain,
    ? [X0] :
      ~ ( ! [X1] :
            ( ~ r1(X0,X1)
            | ~ p30(X1)
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p1(X2) ) )
        | ! [X3] :
            ( ~ r1(X0,X3)
            | ~ ! [X4] :
                  ( ~ r1(X3,X4)
                  | ~ ( ! [X5] :
                          ( ~ r1(X4,X5)
                          | ! [X6] :
                              ( ~ r1(X5,X6)
                              | ! [X7] :
                                  ( ~ r1(X6,X7)
                                  | ! [X8] :
                                      ( ~ r1(X7,X8)
                                      | ! [X9] :
                                          ( ~ r1(X8,X9)
                                          | ! [X10] :
                                              ( ~ r1(X9,X10)
                                              | ! [X11] :
                                                  ( ~ r1(X10,X11)
                                                  | ! [X12] :
                                                      ( ~ r1(X11,X12)
                                                      | ! [X13] :
                                                          ( ~ r1(X12,X13)
                                                          | ! [X14] :
                                                              ( ~ r1(X13,X14)
                                                              | ! [X15] :
                                                                  ( ~ r1(X14,X15)
                                                                  | ! [X16] :
                                                                      ( ~ r1(X15,X16)
                                                                      | ! [X17] :
                                                                          ( ~ r1(X16,X17)
                                                                          | ! [X18] :
                                                                              ( ~ r1(X17,X18)
                                                                              | ! [X19] :
                                                                                  ( ~ r1(X18,X19)
                                                                                  | ! [X20] :
                                                                                      ( ~ r1(X19,X20)
                                                                                      | ! [X21] :
                                                                                          ( ~ r1(X20,X21)
                                                                                          | ! [X22] :
                                                                                              ( ~ r1(X21,X22)
                                                                                              | ! [X23] :
                                                                                                  ( ~ r1(X22,X23)
                                                                                                  | ! [X24] :
                                                                                                      ( ~ r1(X23,X24)
                                                                                                      | ! [X25] :
                                                                                                          ( ~ r1(X24,X25)
                                                                                                          | ! [X26] :
                                                                                                              ( ~ r1(X25,X26)
                                                                                                              | ! [X27] :
                                                                                                                  ( ~ r1(X26,X27)
                                                                                                                  | ! [X28] :
                                                                                                                      ( ~ r1(X27,X28)
                                                                                                                      | ! [X29] :
                                                                                                                          ( ~ r1(X28,X29)
                                                                                                                          | ! [X30] :
                                                                                                                              ( ~ r1(X29,X30)
                                                                                                                              | ! [X31] :
                                                                                                                                  ( ~ r1(X30,X31)
                                                                                                                                  | ! [X32] : ~ r1(X31,X32)
                                                                                                                                  | ~ ! [X33] :
                                                                                                                                        ( ~ r1(X31,X33)
                                                                                                                                        | ~ ( ( p29(X33)
                                                                                                                                              & ~ p28(X33) )
                                                                                                                                            | ( ~ p29(X33)
                                                                                                                                              & p28(X33) ) ) ) )
                                                                                                                              | ~ ! [X34] :
                                                                                                                                    ( ~ r1(X30,X34)
                                                                                                                                    | ~ ( ( p28(X34)
                                                                                                                                          & ~ p27(X34) )
                                                                                                                                        | ( ~ p28(X34)
                                                                                                                                          & p27(X34) ) ) ) )
                                                                                                                          | ~ ! [X35] :
                                                                                                                                ( ~ r1(X29,X35)
                                                                                                                                | ~ ( ( p27(X35)
                                                                                                                                      & ~ p26(X35) )
                                                                                                                                    | ( ~ p27(X35)
                                                                                                                                      & p26(X35) ) ) ) )
                                                                                                                      | ~ ! [X36] :
                                                                                                                            ( ~ r1(X28,X36)
                                                                                                                            | ~ ( ( p26(X36)
                                                                                                                                  & ~ p25(X36) )
                                                                                                                                | ( ~ p26(X36)
                                                                                                                                  & p25(X36) ) ) ) )
                                                                                                                  | ~ ! [X37] :
                                                                                                                        ( ~ r1(X27,X37)
                                                                                                                        | ~ ( ( p25(X37)
                                                                                                                              & ~ p24(X37) )
                                                                                                                            | ( ~ p25(X37)
                                                                                                                              & p24(X37) ) ) ) )
                                                                                                              | ~ ! [X38] :
                                                                                                                    ( ~ r1(X26,X38)
                                                                                                                    | ~ ( ( p24(X38)
                                                                                                                          & ~ p23(X38) )
                                                                                                                        | ( ~ p24(X38)
                                                                                                                          & p23(X38) ) ) ) )
                                                                                                          | ~ ! [X39] :
                                                                                                                ( ~ r1(X25,X39)
                                                                                                                | ~ ( ( p23(X39)
                                                                                                                      & ~ p22(X39) )
                                                                                                                    | ( ~ p23(X39)
                                                                                                                      & p22(X39) ) ) ) )
                                                                                                      | ~ ! [X40] :
                                                                                                            ( ~ r1(X24,X40)
                                                                                                            | ~ ( ( p22(X40)
                                                                                                                  & ~ p21(X40) )
                                                                                                                | ( ~ p22(X40)
                                                                                                                  & p21(X40) ) ) ) )
                                                                                                  | ~ ! [X41] :
                                                                                                        ( ~ r1(X23,X41)
                                                                                                        | ~ ( ( p21(X41)
                                                                                                              & ~ p20(X41) )
                                                                                                            | ( ~ p21(X41)
                                                                                                              & p20(X41) ) ) ) )
                                                                                              | ~ ! [X42] :
                                                                                                    ( ~ r1(X22,X42)
                                                                                                    | ~ ( ( p20(X42)
                                                                                                          & ~ p19(X42) )
                                                                                                        | ( ~ p20(X42)
                                                                                                          & p19(X42) ) ) ) )
                                                                                          | ~ ! [X43] :
                                                                                                ( ~ r1(X21,X43)
                                                                                                | ~ ( ( p19(X43)
                                                                                                      & ~ p18(X43) )
                                                                                                    | ( ~ p19(X43)
                                                                                                      & p18(X43) ) ) ) )
                                                                                      | ~ ! [X44] :
                                                                                            ( ~ r1(X20,X44)
                                                                                            | ~ ( ( p18(X44)
                                                                                                  & ~ p17(X44) )
                                                                                                | ( ~ p18(X44)
                                                                                                  & p17(X44) ) ) ) )
                                                                                  | ~ ! [X45] :
                                                                                        ( ~ r1(X19,X45)
                                                                                        | ~ ( ( p17(X45)
                                                                                              & ~ p16(X45) )
                                                                                            | ( ~ p17(X45)
                                                                                              & p16(X45) ) ) ) )
                                                                              | ~ ! [X46] :
                                                                                    ( ~ r1(X18,X46)
                                                                                    | ~ ( ( p16(X46)
                                                                                          & ~ p15(X46) )
                                                                                        | ( ~ p16(X46)
                                                                                          & p15(X46) ) ) ) )
                                                                          | ~ ! [X47] :
                                                                                ( ~ r1(X17,X47)
                                                                                | ~ ( ( p15(X47)
                                                                                      & ~ p14(X47) )
                                                                                    | ( ~ p15(X47)
                                                                                      & p14(X47) ) ) ) )
                                                                      | ~ ! [X48] :
                                                                            ( ~ r1(X16,X48)
                                                                            | ~ ( ( p14(X48)
                                                                                  & ~ p13(X48) )
                                                                                | ( ~ p14(X48)
                                                                                  & p13(X48) ) ) ) )
                                                                  | ~ ! [X49] :
                                                                        ( ~ r1(X15,X49)
                                                                        | ~ ( ( p13(X49)
                                                                              & ~ p12(X49) )
                                                                            | ( ~ p13(X49)
                                                                              & p12(X49) ) ) ) )
                                                              | ~ ! [X50] :
                                                                    ( ~ r1(X14,X50)
                                                                    | ~ ( ( p12(X50)
                                                                          & ~ p11(X50) )
                                                                        | ( ~ p12(X50)
                                                                          & p11(X50) ) ) ) )
                                                          | ~ ! [X51] :
                                                                ( ~ r1(X13,X51)
                                                                | ~ ( ( p11(X51)
                                                                      & ~ p10(X51) )
                                                                    | ( ~ p11(X51)
                                                                      & p10(X51) ) ) ) )
                                                      | ~ ! [X52] :
                                                            ( ~ r1(X12,X52)
                                                            | ~ ( ( p10(X52)
                                                                  & ~ p9(X52) )
                                                                | ( ~ p10(X52)
                                                                  & p9(X52) ) ) ) )
                                                  | ~ ! [X53] :
                                                        ( ~ r1(X11,X53)
                                                        | ~ ( ( p9(X53)
                                                              & ~ p8(X53) )
                                                            | ( ~ p9(X53)
                                                              & p8(X53) ) ) ) )
                                              | ~ ! [X54] :
                                                    ( ~ r1(X10,X54)
                                                    | ~ ( ( p8(X54)
                                                          & ~ p7(X54) )
                                                        | ( ~ p8(X54)
                                                          & p7(X54) ) ) ) )
                                          | ~ ! [X55] :
                                                ( ~ r1(X9,X55)
                                                | ~ ( ( p7(X55)
                                                      & ~ p6(X55) )
                                                    | ( ~ p7(X55)
                                                      & p6(X55) ) ) ) )
                                      | ~ ! [X56] :
                                            ( ~ r1(X8,X56)
                                            | ~ ( ( p6(X56)
                                                  & ~ p5(X56) )
                                                | ( ~ p6(X56)
                                                  & p5(X56) ) ) ) )
                                  | ~ ! [X57] :
                                        ( ~ r1(X7,X57)
                                        | ~ ( ( p5(X57)
                                              & ~ p4(X57) )
                                            | ( ~ p5(X57)
                                              & p4(X57) ) ) ) )
                              | ~ ! [X58] :
                                    ( ~ r1(X6,X58)
                                    | ~ ( ( p4(X58)
                                          & ~ p3(X58) )
                                        | ( ~ p4(X58)
                                          & p3(X58) ) ) ) )
                          | ~ ! [X59] :
                                ( ~ r1(X5,X59)
                                | ~ ( ( p3(X59)
                                      & ~ p2(X59) )
                                    | ( ~ p3(X59)
                                      & p2(X59) ) ) ) )
                      | ~ ! [X60] :
                            ( ~ r1(X4,X60)
                            | ~ ( ( p2(X60)
                                  & ~ p1(X60) )
                                | ( ~ p2(X60)
                                  & p1(X60) ) ) )
                      | ! [X61] :
                          ( ~ r1(X4,X61)
                          | p30(X61) )
                      | ! [X62] :
                          ( ~ r1(X4,X62)
                          | ( ~ p28(X62)
                            & ~ p29(X62) )
                          | ( p29(X62)
                            & p28(X62) )
                          | ( ~ p27(X62)
                            & ~ p28(X62) )
                          | ( p28(X62)
                            & p27(X62) )
                          | ( ~ p26(X62)
                            & ~ p27(X62) )
                          | ( p27(X62)
                            & p26(X62) )
                          | ( ~ p25(X62)
                            & ~ p26(X62) )
                          | ( p26(X62)
                            & p25(X62) )
                          | ( ~ p24(X62)
                            & ~ p25(X62) )
                          | ( p25(X62)
                            & p24(X62) )
                          | ( ~ p23(X62)
                            & ~ p24(X62) )
                          | ( p24(X62)
                            & p23(X62) )
                          | ( ~ p22(X62)
                            & ~ p23(X62) )
                          | ( p23(X62)
                            & p22(X62) )
                          | ( ~ p21(X62)
                            & ~ p22(X62) )
                          | ( p22(X62)
                            & p21(X62) )
                          | ( ~ p20(X62)
                            & ~ p21(X62) )
                          | ( p21(X62)
                            & p20(X62) )
                          | ( ~ p19(X62)
                            & ~ p20(X62) )
                          | ( p20(X62)
                            & p19(X62) )
                          | ( ~ p18(X62)
                            & ~ p19(X62) )
                          | ( p19(X62)
                            & p18(X62) )
                          | ( ~ p17(X62)
                            & ~ p18(X62) )
                          | ( p18(X62)
                            & p17(X62) )
                          | ( ~ p16(X62)
                            & ~ p17(X62) )
                          | ( p17(X62)
                            & p16(X62) )
                          | ( ~ p15(X62)
                            & ~ p16(X62) )
                          | ( p16(X62)
                            & p15(X62) )
                          | ( ~ p14(X62)
                            & ~ p15(X62) )
                          | ( p15(X62)
                            & p14(X62) )
                          | ( ~ p13(X62)
                            & ~ p14(X62) )
                          | ( p14(X62)
                            & p13(X62) )
                          | ( ~ p12(X62)
                            & ~ p13(X62) )
                          | ( p13(X62)
                            & p12(X62) )
                          | ( ~ p11(X62)
                            & ~ p12(X62) )
                          | ( p12(X62)
                            & p11(X62) )
                          | ( ~ p10(X62)
                            & ~ p11(X62) )
                          | ( p11(X62)
                            & p10(X62) )
                          | ( ~ p9(X62)
                            & ~ p10(X62) )
                          | ( p10(X62)
                            & p9(X62) )
                          | ( ~ p8(X62)
                            & ~ p9(X62) )
                          | ( p9(X62)
                            & p8(X62) )
                          | ( ~ p7(X62)
                            & ~ p8(X62) )
                          | ( p8(X62)
                            & p7(X62) )
                          | ( ~ p6(X62)
                            & ~ p7(X62) )
                          | ( p7(X62)
                            & p6(X62) )
                          | ( ~ p5(X62)
                            & ~ p6(X62) )
                          | ( p6(X62)
                            & p5(X62) )
                          | ( ~ p4(X62)
                            & ~ p5(X62) )
                          | ( p5(X62)
                            & p4(X62) )
                          | ( ~ p3(X62)
                            & ~ p4(X62) )
                          | ( p4(X62)
                            & p3(X62) )
                          | ( ~ p2(X62)
                            & ~ p3(X62) )
                          | ( p3(X62)
                            & p2(X62) )
                          | ( ~ p1(X62)
                            & ~ p2(X62) )
                          | ( p2(X62)
                            & p1(X62) ) ) ) ) ) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ? [X0] :
      ( ? [X1] :
          ( r1(X0,X1)
          & p30(X1)
          & ? [X2] :
              ( r1(X1,X2)
              & p1(X2) ) )
      & ? [X3] :
          ( r1(X0,X3)
          & ! [X4] :
              ( ~ r1(X3,X4)
              | ( ? [X5] :
                    ( r1(X4,X5)
                    & ? [X6] :
                        ( r1(X5,X6)
                        & ? [X7] :
                            ( r1(X6,X7)
                            & ? [X8] :
                                ( r1(X7,X8)
                                & ? [X9] :
                                    ( r1(X8,X9)
                                    & ? [X10] :
                                        ( r1(X9,X10)
                                        & ? [X11] :
                                            ( r1(X10,X11)
                                            & ? [X12] :
                                                ( r1(X11,X12)
                                                & ? [X13] :
                                                    ( r1(X12,X13)
                                                    & ? [X14] :
                                                        ( r1(X13,X14)
                                                        & ? [X15] :
                                                            ( r1(X14,X15)
                                                            & ? [X16] :
                                                                ( r1(X15,X16)
                                                                & ? [X17] :
                                                                    ( r1(X16,X17)
                                                                    & ? [X18] :
                                                                        ( r1(X17,X18)
                                                                        & ? [X19] :
                                                                            ( r1(X18,X19)
                                                                            & ? [X20] :
                                                                                ( r1(X19,X20)
                                                                                & ? [X21] :
                                                                                    ( r1(X20,X21)
                                                                                    & ? [X22] :
                                                                                        ( r1(X21,X22)
                                                                                        & ? [X23] :
                                                                                            ( r1(X22,X23)
                                                                                            & ? [X24] :
                                                                                                ( r1(X23,X24)
                                                                                                & ? [X25] :
                                                                                                    ( r1(X24,X25)
                                                                                                    & ? [X26] :
                                                                                                        ( r1(X25,X26)
                                                                                                        & ? [X27] :
                                                                                                            ( r1(X26,X27)
                                                                                                            & ? [X28] :
                                                                                                                ( r1(X27,X28)
                                                                                                                & ? [X29] :
                                                                                                                    ( r1(X28,X29)
                                                                                                                    & ? [X30] :
                                                                                                                        ( r1(X29,X30)
                                                                                                                        & ? [X31] :
                                                                                                                            ( r1(X30,X31)
                                                                                                                            & ? [X32] : r1(X31,X32)
                                                                                                                            & ! [X33] :
                                                                                                                                ( ~ r1(X31,X33)
                                                                                                                                | ( ( ~ p29(X33)
                                                                                                                                    | p28(X33) )
                                                                                                                                  & ( p29(X33)
                                                                                                                                    | ~ p28(X33) ) ) ) )
                                                                                                                        & ! [X34] :
                                                                                                                            ( ~ r1(X30,X34)
                                                                                                                            | ( ( ~ p28(X34)
                                                                                                                                | p27(X34) )
                                                                                                                              & ( p28(X34)
                                                                                                                                | ~ p27(X34) ) ) ) )
                                                                                                                    & ! [X35] :
                                                                                                                        ( ~ r1(X29,X35)
                                                                                                                        | ( ( ~ p27(X35)
                                                                                                                            | p26(X35) )
                                                                                                                          & ( p27(X35)
                                                                                                                            | ~ p26(X35) ) ) ) )
                                                                                                                & ! [X36] :
                                                                                                                    ( ~ r1(X28,X36)
                                                                                                                    | ( ( ~ p26(X36)
                                                                                                                        | p25(X36) )
                                                                                                                      & ( p26(X36)
                                                                                                                        | ~ p25(X36) ) ) ) )
                                                                                                            & ! [X37] :
                                                                                                                ( ~ r1(X27,X37)
                                                                                                                | ( ( ~ p25(X37)
                                                                                                                    | p24(X37) )
                                                                                                                  & ( p25(X37)
                                                                                                                    | ~ p24(X37) ) ) ) )
                                                                                                        & ! [X38] :
                                                                                                            ( ~ r1(X26,X38)
                                                                                                            | ( ( ~ p24(X38)
                                                                                                                | p23(X38) )
                                                                                                              & ( p24(X38)
                                                                                                                | ~ p23(X38) ) ) ) )
                                                                                                    & ! [X39] :
                                                                                                        ( ~ r1(X25,X39)
                                                                                                        | ( ( ~ p23(X39)
                                                                                                            | p22(X39) )
                                                                                                          & ( p23(X39)
                                                                                                            | ~ p22(X39) ) ) ) )
                                                                                                & ! [X40] :
                                                                                                    ( ~ r1(X24,X40)
                                                                                                    | ( ( ~ p22(X40)
                                                                                                        | p21(X40) )
                                                                                                      & ( p22(X40)
                                                                                                        | ~ p21(X40) ) ) ) )
                                                                                            & ! [X41] :
                                                                                                ( ~ r1(X23,X41)
                                                                                                | ( ( ~ p21(X41)
                                                                                                    | p20(X41) )
                                                                                                  & ( p21(X41)
                                                                                                    | ~ p20(X41) ) ) ) )
                                                                                        & ! [X42] :
                                                                                            ( ~ r1(X22,X42)
                                                                                            | ( ( ~ p20(X42)
                                                                                                | p19(X42) )
                                                                                              & ( p20(X42)
                                                                                                | ~ p19(X42) ) ) ) )
                                                                                    & ! [X43] :
                                                                                        ( ~ r1(X21,X43)
                                                                                        | ( ( ~ p19(X43)
                                                                                            | p18(X43) )
                                                                                          & ( p19(X43)
                                                                                            | ~ p18(X43) ) ) ) )
                                                                                & ! [X44] :
                                                                                    ( ~ r1(X20,X44)
                                                                                    | ( ( ~ p18(X44)
                                                                                        | p17(X44) )
                                                                                      & ( p18(X44)
                                                                                        | ~ p17(X44) ) ) ) )
                                                                            & ! [X45] :
                                                                                ( ~ r1(X19,X45)
                                                                                | ( ( ~ p17(X45)
                                                                                    | p16(X45) )
                                                                                  & ( p17(X45)
                                                                                    | ~ p16(X45) ) ) ) )
                                                                        & ! [X46] :
                                                                            ( ~ r1(X18,X46)
                                                                            | ( ( ~ p16(X46)
                                                                                | p15(X46) )
                                                                              & ( p16(X46)
                                                                                | ~ p15(X46) ) ) ) )
                                                                    & ! [X47] :
                                                                        ( ~ r1(X17,X47)
                                                                        | ( ( ~ p15(X47)
                                                                            | p14(X47) )
                                                                          & ( p15(X47)
                                                                            | ~ p14(X47) ) ) ) )
                                                                & ! [X48] :
                                                                    ( ~ r1(X16,X48)
                                                                    | ( ( ~ p14(X48)
                                                                        | p13(X48) )
                                                                      & ( p14(X48)
                                                                        | ~ p13(X48) ) ) ) )
                                                            & ! [X49] :
                                                                ( ~ r1(X15,X49)
                                                                | ( ( ~ p13(X49)
                                                                    | p12(X49) )
                                                                  & ( p13(X49)
                                                                    | ~ p12(X49) ) ) ) )
                                                        & ! [X50] :
                                                            ( ~ r1(X14,X50)
                                                            | ( ( ~ p12(X50)
                                                                | p11(X50) )
                                                              & ( p12(X50)
                                                                | ~ p11(X50) ) ) ) )
                                                    & ! [X51] :
                                                        ( ~ r1(X13,X51)
                                                        | ( ( ~ p11(X51)
                                                            | p10(X51) )
                                                          & ( p11(X51)
                                                            | ~ p10(X51) ) ) ) )
                                                & ! [X52] :
                                                    ( ~ r1(X12,X52)
                                                    | ( ( ~ p10(X52)
                                                        | p9(X52) )
                                                      & ( p10(X52)
                                                        | ~ p9(X52) ) ) ) )
                                            & ! [X53] :
                                                ( ~ r1(X11,X53)
                                                | ( ( ~ p9(X53)
                                                    | p8(X53) )
                                                  & ( p9(X53)
                                                    | ~ p8(X53) ) ) ) )
                                        & ! [X54] :
                                            ( ~ r1(X10,X54)
                                            | ( ( ~ p8(X54)
                                                | p7(X54) )
                                              & ( p8(X54)
                                                | ~ p7(X54) ) ) ) )
                                    & ! [X55] :
                                        ( ~ r1(X9,X55)
                                        | ( ( ~ p7(X55)
                                            | p6(X55) )
                                          & ( p7(X55)
                                            | ~ p6(X55) ) ) ) )
                                & ! [X56] :
                                    ( ~ r1(X8,X56)
                                    | ( ( ~ p6(X56)
                                        | p5(X56) )
                                      & ( p6(X56)
                                        | ~ p5(X56) ) ) ) )
                            & ! [X57] :
                                ( ~ r1(X7,X57)
                                | ( ( ~ p5(X57)
                                    | p4(X57) )
                                  & ( p5(X57)
                                    | ~ p4(X57) ) ) ) )
                        & ! [X58] :
                            ( ~ r1(X6,X58)
                            | ( ( ~ p4(X58)
                                | p3(X58) )
                              & ( p4(X58)
                                | ~ p3(X58) ) ) ) )
                    & ! [X59] :
                        ( ~ r1(X5,X59)
                        | ( ( ~ p3(X59)
                            | p2(X59) )
                          & ( p3(X59)
                            | ~ p2(X59) ) ) ) )
                & ! [X60] :
                    ( ~ r1(X4,X60)
                    | ( ( ~ p2(X60)
                        | p1(X60) )
                      & ( p2(X60)
                        | ~ p1(X60) ) ) )
                & ? [X61] :
                    ( r1(X4,X61)
                    & ~ p30(X61) )
                & ? [X62] :
                    ( r1(X4,X62)
                    & ( p28(X62)
                      | p29(X62) )
                    & ( ~ p29(X62)
                      | ~ p28(X62) )
                    & ( p27(X62)
                      | p28(X62) )
                    & ( ~ p28(X62)
                      | ~ p27(X62) )
                    & ( p26(X62)
                      | p27(X62) )
                    & ( ~ p27(X62)
                      | ~ p26(X62) )
                    & ( p25(X62)
                      | p26(X62) )
                    & ( ~ p26(X62)
                      | ~ p25(X62) )
                    & ( p24(X62)
                      | p25(X62) )
                    & ( ~ p25(X62)
                      | ~ p24(X62) )
                    & ( p23(X62)
                      | p24(X62) )
                    & ( ~ p24(X62)
                      | ~ p23(X62) )
                    & ( p22(X62)
                      | p23(X62) )
                    & ( ~ p23(X62)
                      | ~ p22(X62) )
                    & ( p21(X62)
                      | p22(X62) )
                    & ( ~ p22(X62)
                      | ~ p21(X62) )
                    & ( p20(X62)
                      | p21(X62) )
                    & ( ~ p21(X62)
                      | ~ p20(X62) )
                    & ( p19(X62)
                      | p20(X62) )
                    & ( ~ p20(X62)
                      | ~ p19(X62) )
                    & ( p18(X62)
                      | p19(X62) )
                    & ( ~ p19(X62)
                      | ~ p18(X62) )
                    & ( p17(X62)
                      | p18(X62) )
                    & ( ~ p18(X62)
                      | ~ p17(X62) )
                    & ( p16(X62)
                      | p17(X62) )
                    & ( ~ p17(X62)
                      | ~ p16(X62) )
                    & ( p15(X62)
                      | p16(X62) )
                    & ( ~ p16(X62)
                      | ~ p15(X62) )
                    & ( p14(X62)
                      | p15(X62) )
                    & ( ~ p15(X62)
                      | ~ p14(X62) )
                    & ( p13(X62)
                      | p14(X62) )
                    & ( ~ p14(X62)
                      | ~ p13(X62) )
                    & ( p12(X62)
                      | p13(X62) )
                    & ( ~ p13(X62)
                      | ~ p12(X62) )
                    & ( p11(X62)
                      | p12(X62) )
                    & ( ~ p12(X62)
                      | ~ p11(X62) )
                    & ( p10(X62)
                      | p11(X62) )
                    & ( ~ p11(X62)
                      | ~ p10(X62) )
                    & ( p9(X62)
                      | p10(X62) )
                    & ( ~ p10(X62)
                      | ~ p9(X62) )
                    & ( p8(X62)
                      | p9(X62) )
                    & ( ~ p9(X62)
                      | ~ p8(X62) )
                    & ( p7(X62)
                      | p8(X62) )
                    & ( ~ p8(X62)
                      | ~ p7(X62) )
                    & ( p6(X62)
                      | p7(X62) )
                    & ( ~ p7(X62)
                      | ~ p6(X62) )
                    & ( p5(X62)
                      | p6(X62) )
                    & ( ~ p6(X62)
                      | ~ p5(X62) )
                    & ( p4(X62)
                      | p5(X62) )
                    & ( ~ p5(X62)
                      | ~ p4(X62) )
                    & ( p3(X62)
                      | p4(X62) )
                    & ( ~ p4(X62)
                      | ~ p3(X62) )
                    & ( p2(X62)
                      | p3(X62) )
                    & ( ~ p3(X62)
                      | ~ p2(X62) )
                    & ( p1(X62)
                      | p2(X62) )
                    & ( ~ p2(X62)
                      | ~ p1(X62) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f11,definition,
    ! [X29] :
      ( ? [X30] :
          ( r1(X29,X30)
          & ? [X31] :
              ( r1(X30,X31)
              & ? [X32] : r1(X31,X32)
              & ! [X33] :
                  ( ~ r1(X31,X33)
                  | ( ( ~ p29(X33)
                      | p28(X33) )
                    & ( p29(X33)
                      | ~ p28(X33) ) ) ) )
          & ! [X34] :
              ( ~ r1(X30,X34)
              | ( ( ~ p28(X34)
                  | p27(X34) )
                & ( p28(X34)
                  | ~ p27(X34) ) ) ) )
      | ~ sP0(X29) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f12,definition,
    ! [X27] :
      ( ? [X28] :
          ( r1(X27,X28)
          & ? [X29] :
              ( r1(X28,X29)
              & sP0(X29)
              & ! [X35] :
                  ( ~ r1(X29,X35)
                  | ( ( ~ p27(X35)
                      | p26(X35) )
                    & ( p27(X35)
                      | ~ p26(X35) ) ) ) )
          & ! [X36] :
              ( ~ r1(X28,X36)
              | ( ( ~ p26(X36)
                  | p25(X36) )
                & ( p26(X36)
                  | ~ p25(X36) ) ) ) )
      | ~ sP1(X27) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f13,definition,
    ! [X25] :
      ( ? [X26] :
          ( r1(X25,X26)
          & ? [X27] :
              ( r1(X26,X27)
              & sP1(X27)
              & ! [X37] :
                  ( ~ r1(X27,X37)
                  | ( ( ~ p25(X37)
                      | p24(X37) )
                    & ( p25(X37)
                      | ~ p24(X37) ) ) ) )
          & ! [X38] :
              ( ~ r1(X26,X38)
              | ( ( ~ p24(X38)
                  | p23(X38) )
                & ( p24(X38)
                  | ~ p23(X38) ) ) ) )
      | ~ sP2(X25) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f14,definition,
    ! [X23] :
      ( ? [X24] :
          ( r1(X23,X24)
          & ? [X25] :
              ( r1(X24,X25)
              & sP2(X25)
              & ! [X39] :
                  ( ~ r1(X25,X39)
                  | ( ( ~ p23(X39)
                      | p22(X39) )
                    & ( p23(X39)
                      | ~ p22(X39) ) ) ) )
          & ! [X40] :
              ( ~ r1(X24,X40)
              | ( ( ~ p22(X40)
                  | p21(X40) )
                & ( p22(X40)
                  | ~ p21(X40) ) ) ) )
      | ~ sP3(X23) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f15,definition,
    ! [X21] :
      ( ? [X22] :
          ( r1(X21,X22)
          & ? [X23] :
              ( r1(X22,X23)
              & sP3(X23)
              & ! [X41] :
                  ( ~ r1(X23,X41)
                  | ( ( ~ p21(X41)
                      | p20(X41) )
                    & ( p21(X41)
                      | ~ p20(X41) ) ) ) )
          & ! [X42] :
              ( ~ r1(X22,X42)
              | ( ( ~ p20(X42)
                  | p19(X42) )
                & ( p20(X42)
                  | ~ p19(X42) ) ) ) )
      | ~ sP4(X21) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f16,definition,
    ! [X19] :
      ( ? [X20] :
          ( r1(X19,X20)
          & ? [X21] :
              ( r1(X20,X21)
              & sP4(X21)
              & ! [X43] :
                  ( ~ r1(X21,X43)
                  | ( ( ~ p19(X43)
                      | p18(X43) )
                    & ( p19(X43)
                      | ~ p18(X43) ) ) ) )
          & ! [X44] :
              ( ~ r1(X20,X44)
              | ( ( ~ p18(X44)
                  | p17(X44) )
                & ( p18(X44)
                  | ~ p17(X44) ) ) ) )
      | ~ sP5(X19) ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f17,definition,
    ! [X17] :
      ( ? [X18] :
          ( r1(X17,X18)
          & ? [X19] :
              ( r1(X18,X19)
              & sP5(X19)
              & ! [X45] :
                  ( ~ r1(X19,X45)
                  | ( ( ~ p17(X45)
                      | p16(X45) )
                    & ( p17(X45)
                      | ~ p16(X45) ) ) ) )
          & ! [X46] :
              ( ~ r1(X18,X46)
              | ( ( ~ p16(X46)
                  | p15(X46) )
                & ( p16(X46)
                  | ~ p15(X46) ) ) ) )
      | ~ sP6(X17) ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f18,definition,
    ! [X15] :
      ( ? [X16] :
          ( r1(X15,X16)
          & ? [X17] :
              ( r1(X16,X17)
              & sP6(X17)
              & ! [X47] :
                  ( ~ r1(X17,X47)
                  | ( ( ~ p15(X47)
                      | p14(X47) )
                    & ( p15(X47)
                      | ~ p14(X47) ) ) ) )
          & ! [X48] :
              ( ~ r1(X16,X48)
              | ( ( ~ p14(X48)
                  | p13(X48) )
                & ( p14(X48)
                  | ~ p13(X48) ) ) ) )
      | ~ sP7(X15) ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f19,definition,
    ! [X13] :
      ( ? [X14] :
          ( r1(X13,X14)
          & ? [X15] :
              ( r1(X14,X15)
              & sP7(X15)
              & ! [X49] :
                  ( ~ r1(X15,X49)
                  | ( ( ~ p13(X49)
                      | p12(X49) )
                    & ( p13(X49)
                      | ~ p12(X49) ) ) ) )
          & ! [X50] :
              ( ~ r1(X14,X50)
              | ( ( ~ p12(X50)
                  | p11(X50) )
                & ( p12(X50)
                  | ~ p11(X50) ) ) ) )
      | ~ sP8(X13) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f20,definition,
    ! [X11] :
      ( ? [X12] :
          ( r1(X11,X12)
          & ? [X13] :
              ( r1(X12,X13)
              & sP8(X13)
              & ! [X51] :
                  ( ~ r1(X13,X51)
                  | ( ( ~ p11(X51)
                      | p10(X51) )
                    & ( p11(X51)
                      | ~ p10(X51) ) ) ) )
          & ! [X52] :
              ( ~ r1(X12,X52)
              | ( ( ~ p10(X52)
                  | p9(X52) )
                & ( p10(X52)
                  | ~ p9(X52) ) ) ) )
      | ~ sP9(X11) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f21,definition,
    ! [X9] :
      ( ? [X10] :
          ( r1(X9,X10)
          & ? [X11] :
              ( r1(X10,X11)
              & sP9(X11)
              & ! [X53] :
                  ( ~ r1(X11,X53)
                  | ( ( ~ p9(X53)
                      | p8(X53) )
                    & ( p9(X53)
                      | ~ p8(X53) ) ) ) )
          & ! [X54] :
              ( ~ r1(X10,X54)
              | ( ( ~ p8(X54)
                  | p7(X54) )
                & ( p8(X54)
                  | ~ p7(X54) ) ) ) )
      | ~ sP10(X9) ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f22,definition,
    ! [X7] :
      ( ? [X8] :
          ( r1(X7,X8)
          & ? [X9] :
              ( r1(X8,X9)
              & sP10(X9)
              & ! [X55] :
                  ( ~ r1(X9,X55)
                  | ( ( ~ p7(X55)
                      | p6(X55) )
                    & ( p7(X55)
                      | ~ p6(X55) ) ) ) )
          & ! [X56] :
              ( ~ r1(X8,X56)
              | ( ( ~ p6(X56)
                  | p5(X56) )
                & ( p6(X56)
                  | ~ p5(X56) ) ) ) )
      | ~ sP11(X7) ),
    introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).

fof(f23,definition,
    ! [X5] :
      ( ? [X6] :
          ( r1(X5,X6)
          & ? [X7] :
              ( r1(X6,X7)
              & sP11(X7)
              & ! [X57] :
                  ( ~ r1(X7,X57)
                  | ( ( ~ p5(X57)
                      | p4(X57) )
                    & ( p5(X57)
                      | ~ p4(X57) ) ) ) )
          & ! [X58] :
              ( ~ r1(X6,X58)
              | ( ( ~ p4(X58)
                  | p3(X58) )
                & ( p4(X58)
                  | ~ p3(X58) ) ) ) )
      | ~ sP12(X5) ),
    introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).

fof(f24,definition,
    ! [X4] :
      ( ? [X62] :
          ( r1(X4,X62)
          & ( p28(X62)
            | p29(X62) )
          & ( ~ p29(X62)
            | ~ p28(X62) )
          & ( p27(X62)
            | p28(X62) )
          & ( ~ p28(X62)
            | ~ p27(X62) )
          & ( p26(X62)
            | p27(X62) )
          & ( ~ p27(X62)
            | ~ p26(X62) )
          & ( p25(X62)
            | p26(X62) )
          & ( ~ p26(X62)
            | ~ p25(X62) )
          & ( p24(X62)
            | p25(X62) )
          & ( ~ p25(X62)
            | ~ p24(X62) )
          & ( p23(X62)
            | p24(X62) )
          & ( ~ p24(X62)
            | ~ p23(X62) )
          & ( p22(X62)
            | p23(X62) )
          & ( ~ p23(X62)
            | ~ p22(X62) )
          & ( p21(X62)
            | p22(X62) )
          & ( ~ p22(X62)
            | ~ p21(X62) )
          & ( p20(X62)
            | p21(X62) )
          & ( ~ p21(X62)
            | ~ p20(X62) )
          & ( p19(X62)
            | p20(X62) )
          & ( ~ p20(X62)
            | ~ p19(X62) )
          & ( p18(X62)
            | p19(X62) )
          & ( ~ p19(X62)
            | ~ p18(X62) )
          & ( p17(X62)
            | p18(X62) )
          & ( ~ p18(X62)
            | ~ p17(X62) )
          & ( p16(X62)
            | p17(X62) )
          & ( ~ p17(X62)
            | ~ p16(X62) )
          & ( p15(X62)
            | p16(X62) )
          & ( ~ p16(X62)
            | ~ p15(X62) )
          & ( p14(X62)
            | p15(X62) )
          & ( ~ p15(X62)
            | ~ p14(X62) )
          & ( p13(X62)
            | p14(X62) )
          & ( ~ p14(X62)
            | ~ p13(X62) )
          & ( p12(X62)
            | p13(X62) )
          & ( ~ p13(X62)
            | ~ p12(X62) )
          & ( p11(X62)
            | p12(X62) )
          & ( ~ p12(X62)
            | ~ p11(X62) )
          & ( p10(X62)
            | p11(X62) )
          & ( ~ p11(X62)
            | ~ p10(X62) )
          & ( p9(X62)
            | p10(X62) )
          & ( ~ p10(X62)
            | ~ p9(X62) )
          & ( p8(X62)
            | p9(X62) )
          & ( ~ p9(X62)
            | ~ p8(X62) )
          & ( p7(X62)
            | p8(X62) )
          & ( ~ p8(X62)
            | ~ p7(X62) )
          & ( p6(X62)
            | p7(X62) )
          & ( ~ p7(X62)
            | ~ p6(X62) )
          & ( p5(X62)
            | p6(X62) )
          & ( ~ p6(X62)
            | ~ p5(X62) )
          & ( p4(X62)
            | p5(X62) )
          & ( ~ p5(X62)
            | ~ p4(X62) )
          & ( p3(X62)
            | p4(X62) )
          & ( ~ p4(X62)
            | ~ p3(X62) )
          & ( p2(X62)
            | p3(X62) )
          & ( ~ p3(X62)
            | ~ p2(X62) )
          & ( p1(X62)
            | p2(X62) )
          & ( ~ p2(X62)
            | ~ p1(X62) ) )
      | ~ sP13(X4) ),
    introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).

fof(f25,definition,
    ! [X4] :
      ( ? [X5] :
          ( r1(X4,X5)
          & sP12(X5)
          & ! [X59] :
              ( ~ r1(X5,X59)
              | ( ( ~ p3(X59)
                  | p2(X59) )
                & ( p3(X59)
                  | ~ p2(X59) ) ) ) )
      | ~ sP14(X4) ),
    introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).

fof(f26,plain,
    ? [X0] :
      ( ? [X1] :
          ( r1(X0,X1)
          & p30(X1)
          & ? [X2] :
              ( r1(X1,X2)
              & p1(X2) ) )
      & ? [X3] :
          ( r1(X0,X3)
          & ! [X4] :
              ( ~ r1(X3,X4)
              | ( sP14(X4)
                & ! [X60] :
                    ( ~ r1(X4,X60)
                    | ( ( ~ p2(X60)
                        | p1(X60) )
                      & ( p2(X60)
                        | ~ p1(X60) ) ) )
                & ? [X61] :
                    ( r1(X4,X61)
                    & ~ p30(X61) )
                & sP13(X4) ) ) ) ),
    inference(definition_folding,[],[f8,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).

fof(f30,plain,
    ! [X4] :
      ( ? [X62] :
          ( r1(X4,X62)
          & ( p28(X62)
            | p29(X62) )
          & ( ~ p29(X62)
            | ~ p28(X62) )
          & ( p27(X62)
            | p28(X62) )
          & ( ~ p28(X62)
            | ~ p27(X62) )
          & ( p26(X62)
            | p27(X62) )
          & ( ~ p27(X62)
            | ~ p26(X62) )
          & ( p25(X62)
            | p26(X62) )
          & ( ~ p26(X62)
            | ~ p25(X62) )
          & ( p24(X62)
            | p25(X62) )
          & ( ~ p25(X62)
            | ~ p24(X62) )
          & ( p23(X62)
            | p24(X62) )
          & ( ~ p24(X62)
            | ~ p23(X62) )
          & ( p22(X62)
            | p23(X62) )
          & ( ~ p23(X62)
            | ~ p22(X62) )
          & ( p21(X62)
            | p22(X62) )
          & ( ~ p22(X62)
            | ~ p21(X62) )
          & ( p20(X62)
            | p21(X62) )
          & ( ~ p21(X62)
            | ~ p20(X62) )
          & ( p19(X62)
            | p20(X62) )
          & ( ~ p20(X62)
            | ~ p19(X62) )
          & ( p18(X62)
            | p19(X62) )
          & ( ~ p19(X62)
            | ~ p18(X62) )
          & ( p17(X62)
            | p18(X62) )
          & ( ~ p18(X62)
            | ~ p17(X62) )
          & ( p16(X62)
            | p17(X62) )
          & ( ~ p17(X62)
            | ~ p16(X62) )
          & ( p15(X62)
            | p16(X62) )
          & ( ~ p16(X62)
            | ~ p15(X62) )
          & ( p14(X62)
            | p15(X62) )
          & ( ~ p15(X62)
            | ~ p14(X62) )
          & ( p13(X62)
            | p14(X62) )
          & ( ~ p14(X62)
            | ~ p13(X62) )
          & ( p12(X62)
            | p13(X62) )
          & ( ~ p13(X62)
            | ~ p12(X62) )
          & ( p11(X62)
            | p12(X62) )
          & ( ~ p12(X62)
            | ~ p11(X62) )
          & ( p10(X62)
            | p11(X62) )
          & ( ~ p11(X62)
            | ~ p10(X62) )
          & ( p9(X62)
            | p10(X62) )
          & ( ~ p10(X62)
            | ~ p9(X62) )
          & ( p8(X62)
            | p9(X62) )
          & ( ~ p9(X62)
            | ~ p8(X62) )
          & ( p7(X62)
            | p8(X62) )
          & ( ~ p8(X62)
            | ~ p7(X62) )
          & ( p6(X62)
            | p7(X62) )
          & ( ~ p7(X62)
            | ~ p6(X62) )
          & ( p5(X62)
            | p6(X62) )
          & ( ~ p6(X62)
            | ~ p5(X62) )
          & ( p4(X62)
            | p5(X62) )
          & ( ~ p5(X62)
            | ~ p4(X62) )
          & ( p3(X62)
            | p4(X62) )
          & ( ~ p4(X62)
            | ~ p3(X62) )
          & ( p2(X62)
            | p3(X62) )
          & ( ~ p3(X62)
            | ~ p2(X62) )
          & ( p1(X62)
            | p2(X62) )
          & ( ~ p2(X62)
            | ~ p1(X62) ) )
      | ~ sP13(X4) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X1] :
          ( r1(X0,X1)
          & ( p28(X1)
            | p29(X1) )
          & ( ~ p29(X1)
            | ~ p28(X1) )
          & ( p27(X1)
            | p28(X1) )
          & ( ~ p28(X1)
            | ~ p27(X1) )
          & ( p26(X1)
            | p27(X1) )
          & ( ~ p27(X1)
            | ~ p26(X1) )
          & ( p25(X1)
            | p26(X1) )
          & ( ~ p26(X1)
            | ~ p25(X1) )
          & ( p24(X1)
            | p25(X1) )
          & ( ~ p25(X1)
            | ~ p24(X1) )
          & ( p23(X1)
            | p24(X1) )
          & ( ~ p24(X1)
            | ~ p23(X1) )
          & ( p22(X1)
            | p23(X1) )
          & ( ~ p23(X1)
            | ~ p22(X1) )
          & ( p21(X1)
            | p22(X1) )
          & ( ~ p22(X1)
            | ~ p21(X1) )
          & ( p20(X1)
            | p21(X1) )
          & ( ~ p21(X1)
            | ~ p20(X1) )
          & ( p19(X1)
            | p20(X1) )
          & ( ~ p20(X1)
            | ~ p19(X1) )
          & ( p18(X1)
            | p19(X1) )
          & ( ~ p19(X1)
            | ~ p18(X1) )
          & ( p17(X1)
            | p18(X1) )
          & ( ~ p18(X1)
            | ~ p17(X1) )
          & ( p16(X1)
            | p17(X1) )
          & ( ~ p17(X1)
            | ~ p16(X1) )
          & ( p15(X1)
            | p16(X1) )
          & ( ~ p16(X1)
            | ~ p15(X1) )
          & ( p14(X1)
            | p15(X1) )
          & ( ~ p15(X1)
            | ~ p14(X1) )
          & ( p13(X1)
            | p14(X1) )
          & ( ~ p14(X1)
            | ~ p13(X1) )
          & ( p12(X1)
            | p13(X1) )
          & ( ~ p13(X1)
            | ~ p12(X1) )
          & ( p11(X1)
            | p12(X1) )
          & ( ~ p12(X1)
            | ~ p11(X1) )
          & ( p10(X1)
            | p11(X1) )
          & ( ~ p11(X1)
            | ~ p10(X1) )
          & ( p9(X1)
            | p10(X1) )
          & ( ~ p10(X1)
            | ~ p9(X1) )
          & ( p8(X1)
            | p9(X1) )
          & ( ~ p9(X1)
            | ~ p8(X1) )
          & ( p7(X1)
            | p8(X1) )
          & ( ~ p8(X1)
            | ~ p7(X1) )
          & ( p6(X1)
            | p7(X1) )
          & ( ~ p7(X1)
            | ~ p6(X1) )
          & ( p5(X1)
            | p6(X1) )
          & ( ~ p6(X1)
            | ~ p5(X1) )
          & ( p4(X1)
            | p5(X1) )
          & ( ~ p5(X1)
            | ~ p4(X1) )
          & ( p3(X1)
            | p4(X1) )
          & ( ~ p4(X1)
            | ~ p3(X1) )
          & ( p2(X1)
            | p3(X1) )
          & ( ~ p3(X1)
            | ~ p2(X1) )
          & ( p1(X1)
            | p2(X1) )
          & ( ~ p2(X1)
            | ~ p1(X1) ) )
      | ~ sP13(X0) ),
    inference(rectify,[],[f30]) ).

fof(f32,plain,
    ! [X0] :
      ( ( r1(X0,sK16(X0))
        & ( p28(sK16(X0))
          | p29(sK16(X0)) )
        & ( ~ p29(sK16(X0))
          | ~ p28(sK16(X0)) )
        & ( p27(sK16(X0))
          | p28(sK16(X0)) )
        & ( ~ p28(sK16(X0))
          | ~ p27(sK16(X0)) )
        & ( p26(sK16(X0))
          | p27(sK16(X0)) )
        & ( ~ p27(sK16(X0))
          | ~ p26(sK16(X0)) )
        & ( p25(sK16(X0))
          | p26(sK16(X0)) )
        & ( ~ p26(sK16(X0))
          | ~ p25(sK16(X0)) )
        & ( p24(sK16(X0))
          | p25(sK16(X0)) )
        & ( ~ p25(sK16(X0))
          | ~ p24(sK16(X0)) )
        & ( p23(sK16(X0))
          | p24(sK16(X0)) )
        & ( ~ p24(sK16(X0))
          | ~ p23(sK16(X0)) )
        & ( p22(sK16(X0))
          | p23(sK16(X0)) )
        & ( ~ p23(sK16(X0))
          | ~ p22(sK16(X0)) )
        & ( p21(sK16(X0))
          | p22(sK16(X0)) )
        & ( ~ p22(sK16(X0))
          | ~ p21(sK16(X0)) )
        & ( p20(sK16(X0))
          | p21(sK16(X0)) )
        & ( ~ p21(sK16(X0))
          | ~ p20(sK16(X0)) )
        & ( p19(sK16(X0))
          | p20(sK16(X0)) )
        & ( ~ p20(sK16(X0))
          | ~ p19(sK16(X0)) )
        & ( p18(sK16(X0))
          | p19(sK16(X0)) )
        & ( ~ p19(sK16(X0))
          | ~ p18(sK16(X0)) )
        & ( p17(sK16(X0))
          | p18(sK16(X0)) )
        & ( ~ p18(sK16(X0))
          | ~ p17(sK16(X0)) )
        & ( p16(sK16(X0))
          | p17(sK16(X0)) )
        & ( ~ p17(sK16(X0))
          | ~ p16(sK16(X0)) )
        & ( p15(sK16(X0))
          | p16(sK16(X0)) )
        & ( ~ p16(sK16(X0))
          | ~ p15(sK16(X0)) )
        & ( p14(sK16(X0))
          | p15(sK16(X0)) )
        & ( ~ p15(sK16(X0))
          | ~ p14(sK16(X0)) )
        & ( p13(sK16(X0))
          | p14(sK16(X0)) )
        & ( ~ p14(sK16(X0))
          | ~ p13(sK16(X0)) )
        & ( p12(sK16(X0))
          | p13(sK16(X0)) )
        & ( ~ p13(sK16(X0))
          | ~ p12(sK16(X0)) )
        & ( p11(sK16(X0))
          | p12(sK16(X0)) )
        & ( ~ p12(sK16(X0))
          | ~ p11(sK16(X0)) )
        & ( p10(sK16(X0))
          | p11(sK16(X0)) )
        & ( ~ p11(sK16(X0))
          | ~ p10(sK16(X0)) )
        & ( p9(sK16(X0))
          | p10(sK16(X0)) )
        & ( ~ p10(sK16(X0))
          | ~ p9(sK16(X0)) )
        & ( p8(sK16(X0))
          | p9(sK16(X0)) )
        & ( ~ p9(sK16(X0))
          | ~ p8(sK16(X0)) )
        & ( p7(sK16(X0))
          | p8(sK16(X0)) )
        & ( ~ p8(sK16(X0))
          | ~ p7(sK16(X0)) )
        & ( p6(sK16(X0))
          | p7(sK16(X0)) )
        & ( ~ p7(sK16(X0))
          | ~ p6(sK16(X0)) )
        & ( p5(sK16(X0))
          | p6(sK16(X0)) )
        & ( ~ p6(sK16(X0))
          | ~ p5(sK16(X0)) )
        & ( p4(sK16(X0))
          | p5(sK16(X0)) )
        & ( ~ p5(sK16(X0))
          | ~ p4(sK16(X0)) )
        & ( p3(sK16(X0))
          | p4(sK16(X0)) )
        & ( ~ p4(sK16(X0))
          | ~ p3(sK16(X0)) )
        & ( p2(sK16(X0))
          | p3(sK16(X0)) )
        & ( ~ p3(sK16(X0))
          | ~ p2(sK16(X0)) )
        & ( p1(sK16(X0))
          | p2(sK16(X0)) )
        & ( ~ p2(sK16(X0))
          | ~ p1(sK16(X0)) ) )
      | ~ sP13(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X1,sK16(X0))],[f31]) ).

fof(f72,plain,
    ? [X0] :
      ( ? [X1] :
          ( r1(X0,X1)
          & p30(X1)
          & ? [X2] :
              ( r1(X1,X2)
              & p1(X2) ) )
      & ? [X3] :
          ( r1(X0,X3)
          & ! [X4] :
              ( ~ r1(X3,X4)
              | ( sP14(X4)
                & ! [X5] :
                    ( ~ r1(X4,X5)
                    | ( ( ~ p2(X5)
                        | p1(X5) )
                      & ( p2(X5)
                        | ~ p1(X5) ) ) )
                & ? [X6] :
                    ( r1(X4,X6)
                    & ~ p30(X6) )
                & sP13(X4) ) ) ) ),
    inference(rectify,[],[f26]) ).

fof(f73,plain,
    ( r1(sK44,sK45)
    & p30(sK45)
    & r1(sK45,sK46)
    & p1(sK46)
    & r1(sK44,sK47)
    & ! [X4] :
        ( ~ r1(sK47,X4)
        | ( sP14(X4)
          & ! [X5] :
              ( ~ r1(X4,X5)
              | ( ( ~ p2(X5)
                  | p1(X5) )
                & ( p2(X5)
                  | ~ p1(X5) ) ) )
          & r1(X4,sK48(X4))
          & ~ p30(sK48(X4))
          & sP13(X4) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48]),skolemize(X0,sK44),skolemize(X1,sK45),skolemize(X2,sK46),skolemize(X3,sK47),skolemize(X6,sK48(X4))],[f72]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ p2(sK16(X0))
      | ~ p1(sK16(X0))
      | ~ sP13(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f79,plain,
    ! [X0] :
      ( p2(sK16(X0))
      | p1(sK16(X0))
      | ~ sP13(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f134,plain,
    ! [X0] :
      ( r1(X0,sK16(X0))
      | ~ sP13(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f226,plain,
    ! [X4] :
      ( ~ r1(sK47,X4)
      | sP13(X4) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f229,plain,
    ! [X4,X5] :
      ( ~ r1(sK47,X4)
      | ~ r1(X4,X5)
      | p2(X5)
      | ~ p1(X5) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f230,plain,
    ! [X4,X5] :
      ( ~ r1(sK47,X4)
      | ~ r1(X4,X5)
      | ~ p2(X5)
      | p1(X5) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f238,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f242,plain,
    sP13(sK47),
    inference(resolution,[],[f226,f238]) ).

fof(f376,definition,
    ( spl49_27
  <=> sP13(sK47) ),
    introduced(definition,[new_symbols(definition,[spl49_27])],[avatar_definition]) ).

fof(f377,plain,
    ( sP13(sK47)
    | ~ spl49_27 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f393,plain,
    spl49_27,
    inference(avatar_split_clause,[],[f242,f376]) ).

fof(f473,plain,
    ! [X0] :
      ( ~ r1(sK47,X0)
      | p2(X0)
      | ~ p1(X0) ),
    inference(resolution,[],[f229,f238]) ).

fof(f493,plain,
    ! [X0] :
      ( ~ r1(sK47,X0)
      | ~ p2(X0)
      | p1(X0) ),
    inference(resolution,[],[f230,f238]) ).

fof(f521,plain,
    ( p2(sK16(sK47))
    | ~ p1(sK16(sK47))
    | ~ sP13(sK47) ),
    inference(resolution,[],[f473,f134]) ).

fof(f537,plain,
    ( p2(sK16(sK47))
    | ~ sP13(sK47) ),
    inference(forward_subsumption_resolution,[],[f521,f79]) ).

fof(f557,plain,
    ( p2(sK16(sK47))
    | ~ spl49_27 ),
    inference(forward_subsumption_resolution,[],[f537,f377]) ).

fof(f569,plain,
    ( ~ p2(sK16(sK47))
    | p1(sK16(sK47))
    | ~ sP13(sK47) ),
    inference(resolution,[],[f493,f134]) ).

fof(f585,plain,
    ( ~ p2(sK16(sK47))
    | ~ sP13(sK47) ),
    inference(forward_subsumption_resolution,[],[f569,f78]) ).

fof(f589,plain,
    ( ~ sP13(sK47)
    | ~ spl49_27 ),
    inference(forward_subsumption_resolution,[],[f585,f557]) ).

fof(f593,plain,
    ( $false
    | ~ spl49_27 ),
    inference(forward_subsumption_resolution,[],[f589,f377]) ).

fof(f594,plain,
    ~ spl49_27,
    inference(avatar_contradiction_clause,[],[f593]) ).

cnf(s16,plain,
    spl49_27,
    inference(sat_conversion,[],[f393]) ).

cnf(s23,plain,
    ~ spl49_27,
    inference(sat_conversion,[],[f594]) ).

cnf(s25,plain,
    $false,
    inference(rat,[],[s16,s23]) ).

fof(f596,plain,
    $false,
    inference(avatar_sat_refutation,[],[s25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.58  % Computer : n020.cluster.edu
% 0.11/0.58  % Model    : x86_64 x86_64
% 0.11/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58  % Memory   : 8046.5625MB
% 0.11/0.58  % OS       : Linux 6.8.0-71-generic
% 0.11/0.58  % CPULimit : 300
% 0.11/0.58  % WCLimit  : 300
% 0.11/0.58  % DateTime : Sun Sep 27 16:39:36 UTC 2026
% 0.11/0.58  % CPUTime  : 
% 0.11/0.58  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.60  Running first-order theorem proving
% 0.11/0.61  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/1.32  % (3588569)Detected formulas, will run a generic FOF schedule.
% 0.80/1.32  % (3588577)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2190797693:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.80/1.32  % (3588577)First to succeed.
% 0.80/1.32  % (3588577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3588569"
% 0.80/1.32  % (3588574)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1360573590:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.80/1.32  % (3588578)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2918757228:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.80/1.32  % (3588576)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2293724296:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.80/1.32  % (3588580)dis-21_1_sil=8000:lcm=predicate:random_seed=3683656537:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.80/1.32  % (3588575)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3992654837:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.80/1.32  % (3588579)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1247774050:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.80/1.32  % (3588579)Also succeeded, but the first one will report.
% 0.80/1.32  % (3588578)Also succeeded, but the first one will report.
% 0.80/1.32  % (3588580)Instruction limit reached! 
% 0.80/1.32  % (3588580)------------------------------
% 0.80/1.32  % (3588580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.80/1.32  % (3588580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/1.32  % (3588580)CaDiCaL version: 2.1.3
% 0.80/1.32  % (3588580)Termination reason: Instruction limit
% 0.80/1.32  % (3588580)Termination phase: Saturation
% 0.80/1.32  % (3588580)Time elapsed: 0.064 s
% 0.80/1.32  % (3588580)Peak memory usage: 88 MB
% 0.80/1.32  % (3588580)Instructions burned: 130 (million)
% 0.80/1.32  % (3588577)Refutation found. Thanks to Tanya!
% 0.80/1.32  % SZS status Theorem for theBenchmark
% 0.80/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.52  % (3588577)------------------------------
% 2.59/1.52  % (3588577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.52  % (3588577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.52  % (3588577)CaDiCaL version: 2.1.3
% 2.59/1.52  % (3588577)Termination reason: Refutation
% 2.59/1.52  % (3588577)Time elapsed: 0.009 s
% 2.59/1.52  % (3588577)Peak memory usage: 90 MB
% 2.59/1.52  % (3588577)Instructions burned: 28 (million)
% 2.59/1.52  % (3588577)------------------------------
% 2.59/1.52  % (3588577)------------------------------
% 2.59/1.52  % (3588569)Success in time 0.278 s
% 2.59/1.52  % Vampire exiting
%------------------------------------------------------------------------------