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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : LCL686+1.005 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 20:48:00 EST 2010

% Result   : Theorem 0.19s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   37 (   9 unt;   0 def)
%            Number of atoms       : 1392 (   0 equ)
%            Maximal formula atoms :  216 (  37 avg)
%            Number of connectives : 2272 ( 917   ~; 786   |; 568   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   86 (  17 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   2 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   4 con; 0-1 aty)
%            Number of variables   :  262 (   0 sgn 205   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ~ p15(X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ $true )
                                                                        | ~ ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ ( ( p14(X2)
                                                                                    & ~ p13(X2) )
                                                                                  | ( ~ p14(X2)
                                                                                    & p13(X2) ) ) ) )
                                                                    | ~ ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( p13(X1)
                                                                                & ~ p12(X1) )
                                                                              | ( ~ p13(X1)
                                                                                & p12(X1) ) ) ) )
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ( ( p12(X2)
                                                                            & ~ p11(X2) )
                                                                          | ( ~ p12(X2)
                                                                            & p11(X2) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ( p11(X1)
                                                                        & ~ p10(X1) )
                                                                      | ( ~ p11(X1)
                                                                        & p10(X1) ) ) ) )
                                                        | ~ ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ~ ( ( p10(X2)
                                                                    & ~ p9(X2) )
                                                                  | ( ~ p10(X2)
                                                                    & p9(X2) ) ) ) )
                                                    | ~ ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ( ( p9(X1)
                                                                & ~ p8(X1) )
                                                              | ( ~ p9(X1)
                                                                & p8(X1) ) ) ) )
                                                | ~ ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ( ( p8(X2)
                                                            & ~ p7(X2) )
                                                          | ( ~ p8(X2)
                                                            & p7(X2) ) ) ) )
                                            | ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ( p7(X1)
                                                        & ~ p6(X1) )
                                                      | ( ~ p7(X1)
                                                        & p6(X1) ) ) ) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ( p6(X2)
                                                    & ~ p5(X2) )
                                                  | ( ~ p6(X2)
                                                    & p5(X2) ) ) ) )
                                    | ~ ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( p5(X1)
                                                & ~ p4(X1) )
                                              | ( ~ p5(X1)
                                                & p4(X1) ) ) ) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ( p4(X2)
                                            & ~ p3(X2) )
                                          | ( ~ p4(X2)
                                            & p3(X2) ) ) ) )
                            | ~ ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ( ( p3(X1)
                                        & ~ p2(X1) )
                                      | ( ~ p3(X1)
                                        & p2(X1) ) ) ) )
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ( ( p2(X2)
                                    & ~ p1(X2) )
                                  | ( ~ p2(X2)
                                    & p1(X2) ) ) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | p15(X2) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ( ~ p13(X2)
                              & ~ p14(X2) )
                            | ( p14(X2)
                              & p13(X2) )
                            | ( ~ p12(X2)
                              & ~ p13(X2) )
                            | ( p13(X2)
                              & p12(X2) )
                            | ( ~ p11(X2)
                              & ~ p12(X2) )
                            | ( p12(X2)
                              & p11(X2) )
                            | ( ~ p10(X2)
                              & ~ p11(X2) )
                            | ( p11(X2)
                              & p10(X2) )
                            | ( ~ p9(X2)
                              & ~ p10(X2) )
                            | ( p10(X2)
                              & p9(X2) )
                            | ( ~ p8(X2)
                              & ~ p9(X2) )
                            | ( p9(X2)
                              & p8(X2) )
                            | ( ~ p7(X2)
                              & ~ p8(X2) )
                            | ( p8(X2)
                              & p7(X2) )
                            | ( ~ p6(X2)
                              & ~ p7(X2) )
                            | ( p7(X2)
                              & p6(X2) )
                            | ( ~ p5(X2)
                              & ~ p6(X2) )
                            | ( p6(X2)
                              & p5(X2) )
                            | ( ~ p4(X2)
                              & ~ p5(X2) )
                            | ( p5(X2)
                              & p4(X2) )
                            | ( ~ p3(X2)
                              & ~ p4(X2) )
                            | ( p4(X2)
                              & p3(X2) )
                            | ( ~ p2(X2)
                              & ~ p3(X2) )
                            | ( p3(X2)
                              & p2(X2) )
                            | ( ~ p1(X2)
                              & ~ p2(X2) )
                            | ( p2(X2)
                              & p1(X2) ) ) ) ) ) ),
    file('/tmp/tmpaNgS7-/sel_LCL686+1.005.p_1',main) ).

fof(3,axiom,
    ! [X1] : r1(X1,X1),
    file('/tmp/tmpaNgS7-/sel_LCL686+1.005.p_1',reflexivity) ).

fof(4,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p15(X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ( ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ $true )
                                                                          | ~ ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ~ ( ( p14(X2)
                                                                                      & ~ p13(X2) )
                                                                                    | ( ~ p14(X2)
                                                                                      & p13(X2) ) ) ) )
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ( ( p13(X1)
                                                                                  & ~ p12(X1) )
                                                                                | ( ~ p13(X1)
                                                                                  & p12(X1) ) ) ) )
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ~ ( ( p12(X2)
                                                                              & ~ p11(X2) )
                                                                            | ( ~ p12(X2)
                                                                              & p11(X2) ) ) ) )
                                                              | ~ ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ~ ( ( p11(X1)
                                                                          & ~ p10(X1) )
                                                                        | ( ~ p11(X1)
                                                                          & p10(X1) ) ) ) )
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p10(X2)
                                                                      & ~ p9(X2) )
                                                                    | ( ~ p10(X2)
                                                                      & p9(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p9(X1)
                                                                  & ~ p8(X1) )
                                                                | ( ~ p9(X1)
                                                                  & p8(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p8(X2)
                                                              & ~ p7(X2) )
                                                            | ( ~ p8(X2)
                                                              & p7(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p7(X1)
                                                          & ~ p6(X1) )
                                                        | ( ~ p7(X1)
                                                          & p6(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p6(X2)
                                                      & ~ p5(X2) )
                                                    | ( ~ p6(X2)
                                                      & p5(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p5(X1)
                                                  & ~ p4(X1) )
                                                | ( ~ p5(X1)
                                                  & p4(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p4(X2)
                                              & ~ p3(X2) )
                                            | ( ~ p4(X2)
                                              & p3(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p3(X1)
                                          & ~ p2(X1) )
                                        | ( ~ p3(X1)
                                          & p2(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p2(X2)
                                      & ~ p1(X2) )
                                    | ( ~ p2(X2)
                                      & p1(X2) ) ) )
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p15(X2) )
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ( ~ p13(X2)
                                & ~ p14(X2) )
                              | ( p14(X2)
                                & p13(X2) )
                              | ( ~ p12(X2)
                                & ~ p13(X2) )
                              | ( p13(X2)
                                & p12(X2) )
                              | ( ~ p11(X2)
                                & ~ p12(X2) )
                              | ( p12(X2)
                                & p11(X2) )
                              | ( ~ p10(X2)
                                & ~ p11(X2) )
                              | ( p11(X2)
                                & p10(X2) )
                              | ( ~ p9(X2)
                                & ~ p10(X2) )
                              | ( p10(X2)
                                & p9(X2) )
                              | ( ~ p8(X2)
                                & ~ p9(X2) )
                              | ( p9(X2)
                                & p8(X2) )
                              | ( ~ p7(X2)
                                & ~ p8(X2) )
                              | ( p8(X2)
                                & p7(X2) )
                              | ( ~ p6(X2)
                                & ~ p7(X2) )
                              | ( p7(X2)
                                & p6(X2) )
                              | ( ~ p5(X2)
                                & ~ p6(X2) )
                              | ( p6(X2)
                                & p5(X2) )
                              | ( ~ p4(X2)
                                & ~ p5(X2) )
                              | ( p5(X2)
                                & p4(X2) )
                              | ( ~ p3(X2)
                                & ~ p4(X2) )
                              | ( p4(X2)
                                & p3(X2) )
                              | ( ~ p2(X2)
                                & ~ p3(X2) )
                              | ( p3(X2)
                                & p2(X2) )
                              | ( ~ p1(X2)
                                & ~ p2(X2) )
                              | ( p2(X2)
                                & p1(X2) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(5,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p15(X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ( ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ $true )
                                                                          | ~ ! [X2] :
                                                                                ( ~ r1(X1,X2)
                                                                                | ~ ( ( p14(X2)
                                                                                      & ~ p13(X2) )
                                                                                    | ( ~ p14(X2)
                                                                                      & p13(X2) ) ) ) )
                                                                      | ~ ! [X1] :
                                                                            ( ~ r1(X2,X1)
                                                                            | ~ ( ( p13(X1)
                                                                                  & ~ p12(X1) )
                                                                                | ( ~ p13(X1)
                                                                                  & p12(X1) ) ) ) )
                                                                  | ~ ! [X2] :
                                                                        ( ~ r1(X1,X2)
                                                                        | ~ ( ( p12(X2)
                                                                              & ~ p11(X2) )
                                                                            | ( ~ p12(X2)
                                                                              & p11(X2) ) ) ) )
                                                              | ~ ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ~ ( ( p11(X1)
                                                                          & ~ p10(X1) )
                                                                        | ( ~ p11(X1)
                                                                          & p10(X1) ) ) ) )
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p10(X2)
                                                                      & ~ p9(X2) )
                                                                    | ( ~ p10(X2)
                                                                      & p9(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p9(X1)
                                                                  & ~ p8(X1) )
                                                                | ( ~ p9(X1)
                                                                  & p8(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p8(X2)
                                                              & ~ p7(X2) )
                                                            | ( ~ p8(X2)
                                                              & p7(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p7(X1)
                                                          & ~ p6(X1) )
                                                        | ( ~ p7(X1)
                                                          & p6(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p6(X2)
                                                      & ~ p5(X2) )
                                                    | ( ~ p6(X2)
                                                      & p5(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p5(X1)
                                                  & ~ p4(X1) )
                                                | ( ~ p5(X1)
                                                  & p4(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p4(X2)
                                              & ~ p3(X2) )
                                            | ( ~ p4(X2)
                                              & p3(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p3(X1)
                                          & ~ p2(X1) )
                                        | ( ~ p3(X1)
                                          & p2(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p2(X2)
                                      & ~ p1(X2) )
                                    | ( ~ p2(X2)
                                      & p1(X2) ) ) )
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | p15(X2) )
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ( ~ p13(X2)
                                & ~ p14(X2) )
                              | ( p14(X2)
                                & p13(X2) )
                              | ( ~ p12(X2)
                                & ~ p13(X2) )
                              | ( p13(X2)
                                & p12(X2) )
                              | ( ~ p11(X2)
                                & ~ p12(X2) )
                              | ( p12(X2)
                                & p11(X2) )
                              | ( ~ p10(X2)
                                & ~ p11(X2) )
                              | ( p11(X2)
                                & p10(X2) )
                              | ( ~ p9(X2)
                                & ~ p10(X2) )
                              | ( p10(X2)
                                & p9(X2) )
                              | ( ~ p8(X2)
                                & ~ p9(X2) )
                              | ( p9(X2)
                                & p8(X2) )
                              | ( ~ p7(X2)
                                & ~ p8(X2) )
                              | ( p8(X2)
                                & p7(X2) )
                              | ( ~ p6(X2)
                                & ~ p7(X2) )
                              | ( p7(X2)
                                & p6(X2) )
                              | ( ~ p5(X2)
                                & ~ p6(X2) )
                              | ( p6(X2)
                                & p5(X2) )
                              | ( ~ p4(X2)
                                & ~ p5(X2) )
                              | ( p5(X2)
                                & p4(X2) )
                              | ( ~ p3(X2)
                                & ~ p4(X2) )
                              | ( p4(X2)
                                & p3(X2) )
                              | ( ~ p2(X2)
                                & ~ p3(X2) )
                              | ( p3(X2)
                                & p2(X2) )
                              | ( ~ p1(X2)
                                & ~ p2(X2) )
                              | ( p2(X2)
                                & p1(X2) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).

fof(6,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ~ $true )
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p14(X2)
                                                                      & ~ p13(X2) )
                                                                    | ( ~ p14(X2)
                                                                      & p13(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p13(X1)
                                                                  & ~ p12(X1) )
                                                                | ( ~ p13(X1)
                                                                  & p12(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p12(X2)
                                                              & ~ p11(X2) )
                                                            | ( ~ p12(X2)
                                                              & p11(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p11(X1)
                                                          & ~ p10(X1) )
                                                        | ( ~ p11(X1)
                                                          & p10(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p10(X2)
                                                      & ~ p9(X2) )
                                                    | ( ~ p10(X2)
                                                      & p9(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p9(X1)
                                                  & ~ p8(X1) )
                                                | ( ~ p9(X1)
                                                  & p8(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p8(X2)
                                              & ~ p7(X2) )
                                            | ( ~ p8(X2)
                                              & p7(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p7(X1)
                                          & ~ p6(X1) )
                                        | ( ~ p7(X1)
                                          & p6(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p6(X2)
                                      & ~ p5(X2) )
                                    | ( ~ p6(X2)
                                      & p5(X2) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ( p5(X1)
                                  & ~ p4(X1) )
                                | ( ~ p5(X1)
                                  & p4(X1) ) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ( p4(X2)
                              & ~ p3(X2) )
                            | ( ~ p4(X2)
                              & p3(X2) ) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ( p3(X1)
                          & ~ p2(X1) )
                        | ( ~ p3(X1)
                          & p2(X1) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ( p2(X2)
                      & ~ p1(X2) )
                    | ( ~ p2(X2)
                      & p1(X2) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p15(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( ~ p13(X2)
                & ~ p14(X2) )
              | ( p14(X2)
                & p13(X2) )
              | ( ~ p12(X2)
                & ~ p13(X2) )
              | ( p13(X2)
                & p12(X2) )
              | ( ~ p11(X2)
                & ~ p12(X2) )
              | ( p12(X2)
                & p11(X2) )
              | ( ~ p10(X2)
                & ~ p11(X2) )
              | ( p11(X2)
                & p10(X2) )
              | ( ~ p9(X2)
                & ~ p10(X2) )
              | ( p10(X2)
                & p9(X2) )
              | ( ~ p8(X2)
                & ~ p9(X2) )
              | ( p9(X2)
                & p8(X2) )
              | ( ~ p7(X2)
                & ~ p8(X2) )
              | ( p8(X2)
                & p7(X2) )
              | ( ~ p6(X2)
                & ~ p7(X2) )
              | ( p7(X2)
                & p6(X2) )
              | ( ~ p5(X2)
                & ~ p6(X2) )
              | ( p6(X2)
                & p5(X2) )
              | ( ~ p4(X2)
                & ~ p5(X2) )
              | ( p5(X2)
                & p4(X2) )
              | ( ~ p3(X2)
                & ~ p4(X2) )
              | ( p4(X2)
                & p3(X2) )
              | ( ~ p2(X2)
                & ~ p3(X2) )
              | ( p3(X2)
                & p2(X2) )
              | ( ~ p1(X2)
                & ~ p2(X2) )
              | ( p2(X2)
                & p1(X2) ) ) ) ),
    introduced(definition) ).

fof(7,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p15(X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | epred1_1(X1) ) ) ),
    inference(apply_def,[status(esa)],[5,6,theory(equality)]) ).

fof(8,negated_conjecture,
    ? [X1] :
      ( ? [X2] :
          ( r1(X1,X2)
          & p15(X2)
          & ? [X1] :
              ( r1(X2,X1)
              & p1(X1) ) )
      & ? [X2] :
          ( r1(X1,X2)
          & ! [X1] :
              ( ~ r1(X2,X1)
              | epred1_1(X1) ) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(9,negated_conjecture,
    ? [X3] :
      ( ? [X4] :
          ( r1(X3,X4)
          & p15(X4)
          & ? [X5] :
              ( r1(X4,X5)
              & p1(X5) ) )
      & ? [X6] :
          ( r1(X3,X6)
          & ! [X7] :
              ( ~ r1(X6,X7)
              | epred1_1(X7) ) ) ),
    inference(variable_rename,[status(thm)],[8]) ).

fof(10,negated_conjecture,
    ( r1(esk1_0,esk2_0)
    & p15(esk2_0)
    & r1(esk2_0,esk3_0)
    & p1(esk3_0)
    & r1(esk1_0,esk4_0)
    & ! [X7] :
        ( ~ r1(esk4_0,X7)
        | epred1_1(X7) ) ),
    inference(skolemize,[status(esa)],[9]) ).

fof(11,negated_conjecture,
    ! [X7] :
      ( ( ~ r1(esk4_0,X7)
        | epred1_1(X7) )
      & r1(esk1_0,esk4_0)
      & r1(esk1_0,esk2_0)
      & p15(esk2_0)
      & r1(esk2_0,esk3_0)
      & p1(esk3_0) ),
    inference(shift_quantors,[status(thm)],[10]) ).

cnf(17,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk4_0,X1) ),
    inference(split_conjunct,[status(thm)],[11]) ).

fof(21,plain,
    ! [X2] : r1(X2,X2),
    inference(variable_rename,[status(thm)],[3]) ).

cnf(22,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[21]) ).

fof(23,plain,
    ! [X1] :
      ( ~ epred1_1(X1)
      | ( ? [X2] :
            ( r1(X1,X2)
            & ? [X1] :
                ( r1(X2,X1)
                & ? [X2] :
                    ( r1(X1,X2)
                    & ? [X1] :
                        ( r1(X2,X1)
                        & ? [X2] :
                            ( r1(X1,X2)
                            & ? [X1] :
                                ( r1(X2,X1)
                                & ? [X2] :
                                    ( r1(X1,X2)
                                    & ? [X1] :
                                        ( r1(X2,X1)
                                        & ? [X2] :
                                            ( r1(X1,X2)
                                            & ? [X1] :
                                                ( r1(X2,X1)
                                                & ? [X2] :
                                                    ( r1(X1,X2)
                                                    & ? [X1] :
                                                        ( r1(X2,X1)
                                                        & ? [X2] :
                                                            ( r1(X1,X2)
                                                            & $true )
                                                        & ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ( ( ~ p14(X2)
                                                                | p13(X2) )
                                                              & ( p14(X2)
                                                                | ~ p13(X2) ) ) ) )
                                                    & ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ( ( ~ p13(X1)
                                                            | p12(X1) )
                                                          & ( p13(X1)
                                                            | ~ p12(X1) ) ) ) )
                                                & ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ( ( ~ p12(X2)
                                                        | p11(X2) )
                                                      & ( p12(X2)
                                                        | ~ p11(X2) ) ) ) )
                                            & ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ( ( ~ p11(X1)
                                                    | p10(X1) )
                                                  & ( p11(X1)
                                                    | ~ p10(X1) ) ) ) )
                                        & ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ( ( ~ p10(X2)
                                                | p9(X2) )
                                              & ( p10(X2)
                                                | ~ p9(X2) ) ) ) )
                                    & ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ( ( ~ p9(X1)
                                            | p8(X1) )
                                          & ( p9(X1)
                                            | ~ p8(X1) ) ) ) )
                                & ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ( ( ~ p8(X2)
                                        | p7(X2) )
                                      & ( p8(X2)
                                        | ~ p7(X2) ) ) ) )
                            & ! [X1] :
                                ( ~ r1(X2,X1)
                                | ( ( ~ p7(X1)
                                    | p6(X1) )
                                  & ( p7(X1)
                                    | ~ p6(X1) ) ) ) )
                        & ! [X2] :
                            ( ~ r1(X1,X2)
                            | ( ( ~ p6(X2)
                                | p5(X2) )
                              & ( p6(X2)
                                | ~ p5(X2) ) ) ) )
                    & ! [X1] :
                        ( ~ r1(X2,X1)
                        | ( ( ~ p5(X1)
                            | p4(X1) )
                          & ( p5(X1)
                            | ~ p4(X1) ) ) ) )
                & ! [X2] :
                    ( ~ r1(X1,X2)
                    | ( ( ~ p4(X2)
                        | p3(X2) )
                      & ( p4(X2)
                        | ~ p3(X2) ) ) ) )
            & ! [X1] :
                ( ~ r1(X2,X1)
                | ( ( ~ p3(X1)
                    | p2(X1) )
                  & ( p3(X1)
                    | ~ p2(X1) ) ) ) )
        & ! [X2] :
            ( ~ r1(X1,X2)
            | ( ( ~ p2(X2)
                | p1(X2) )
              & ( p2(X2)
                | ~ p1(X2) ) ) )
        & ? [X2] :
            ( r1(X1,X2)
            & ~ p15(X2) )
        & ? [X2] :
            ( r1(X1,X2)
            & ( p13(X2)
              | p14(X2) )
            & ( ~ p14(X2)
              | ~ p13(X2) )
            & ( p12(X2)
              | p13(X2) )
            & ( ~ p13(X2)
              | ~ p12(X2) )
            & ( p11(X2)
              | p12(X2) )
            & ( ~ p12(X2)
              | ~ p11(X2) )
            & ( p10(X2)
              | p11(X2) )
            & ( ~ p11(X2)
              | ~ p10(X2) )
            & ( p9(X2)
              | p10(X2) )
            & ( ~ p10(X2)
              | ~ p9(X2) )
            & ( p8(X2)
              | p9(X2) )
            & ( ~ p9(X2)
              | ~ p8(X2) )
            & ( p7(X2)
              | p8(X2) )
            & ( ~ p8(X2)
              | ~ p7(X2) )
            & ( p6(X2)
              | p7(X2) )
            & ( ~ p7(X2)
              | ~ p6(X2) )
            & ( p5(X2)
              | p6(X2) )
            & ( ~ p6(X2)
              | ~ p5(X2) )
            & ( p4(X2)
              | p5(X2) )
            & ( ~ p5(X2)
              | ~ p4(X2) )
            & ( p3(X2)
              | p4(X2) )
            & ( ~ p4(X2)
              | ~ p3(X2) )
            & ( p2(X2)
              | p3(X2) )
            & ( ~ p3(X2)
              | ~ p2(X2) )
            & ( p1(X2)
              | p2(X2) )
            & ( ~ p2(X2)
              | ~ p1(X2) ) ) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(24,plain,
    ! [X3] :
      ( ~ epred1_1(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)
                                                            & $true )
                                                        & ! [X17] :
                                                            ( ~ r1(X15,X17)
                                                            | ( ( ~ p14(X17)
                                                                | p13(X17) )
                                                              & ( p14(X17)
                                                                | ~ p13(X17) ) ) ) )
                                                    & ! [X18] :
                                                        ( ~ r1(X14,X18)
                                                        | ( ( ~ p13(X18)
                                                            | p12(X18) )
                                                          & ( p13(X18)
                                                            | ~ p12(X18) ) ) ) )
                                                & ! [X19] :
                                                    ( ~ r1(X13,X19)
                                                    | ( ( ~ p12(X19)
                                                        | p11(X19) )
                                                      & ( p12(X19)
                                                        | ~ p11(X19) ) ) ) )
                                            & ! [X20] :
                                                ( ~ r1(X12,X20)
                                                | ( ( ~ p11(X20)
                                                    | p10(X20) )
                                                  & ( p11(X20)
                                                    | ~ p10(X20) ) ) ) )
                                        & ! [X21] :
                                            ( ~ r1(X11,X21)
                                            | ( ( ~ p10(X21)
                                                | p9(X21) )
                                              & ( p10(X21)
                                                | ~ p9(X21) ) ) ) )
                                    & ! [X22] :
                                        ( ~ r1(X10,X22)
                                        | ( ( ~ p9(X22)
                                            | p8(X22) )
                                          & ( p9(X22)
                                            | ~ p8(X22) ) ) ) )
                                & ! [X23] :
                                    ( ~ r1(X9,X23)
                                    | ( ( ~ p8(X23)
                                        | p7(X23) )
                                      & ( p8(X23)
                                        | ~ p7(X23) ) ) ) )
                            & ! [X24] :
                                ( ~ r1(X8,X24)
                                | ( ( ~ p7(X24)
                                    | p6(X24) )
                                  & ( p7(X24)
                                    | ~ p6(X24) ) ) ) )
                        & ! [X25] :
                            ( ~ r1(X7,X25)
                            | ( ( ~ p6(X25)
                                | p5(X25) )
                              & ( p6(X25)
                                | ~ p5(X25) ) ) ) )
                    & ! [X26] :
                        ( ~ r1(X6,X26)
                        | ( ( ~ p5(X26)
                            | p4(X26) )
                          & ( p5(X26)
                            | ~ p4(X26) ) ) ) )
                & ! [X27] :
                    ( ~ r1(X5,X27)
                    | ( ( ~ p4(X27)
                        | p3(X27) )
                      & ( p4(X27)
                        | ~ p3(X27) ) ) ) )
            & ! [X28] :
                ( ~ r1(X4,X28)
                | ( ( ~ p3(X28)
                    | p2(X28) )
                  & ( p3(X28)
                    | ~ p2(X28) ) ) ) )
        & ! [X29] :
            ( ~ r1(X3,X29)
            | ( ( ~ p2(X29)
                | p1(X29) )
              & ( p2(X29)
                | ~ p1(X29) ) ) )
        & ? [X30] :
            ( r1(X3,X30)
            & ~ p15(X30) )
        & ? [X31] :
            ( r1(X3,X31)
            & ( p13(X31)
              | p14(X31) )
            & ( ~ p14(X31)
              | ~ p13(X31) )
            & ( p12(X31)
              | p13(X31) )
            & ( ~ p13(X31)
              | ~ p12(X31) )
            & ( p11(X31)
              | p12(X31) )
            & ( ~ p12(X31)
              | ~ p11(X31) )
            & ( p10(X31)
              | p11(X31) )
            & ( ~ p11(X31)
              | ~ p10(X31) )
            & ( p9(X31)
              | p10(X31) )
            & ( ~ p10(X31)
              | ~ p9(X31) )
            & ( p8(X31)
              | p9(X31) )
            & ( ~ p9(X31)
              | ~ p8(X31) )
            & ( p7(X31)
              | p8(X31) )
            & ( ~ p8(X31)
              | ~ p7(X31) )
            & ( p6(X31)
              | p7(X31) )
            & ( ~ p7(X31)
              | ~ p6(X31) )
            & ( p5(X31)
              | p6(X31) )
            & ( ~ p6(X31)
              | ~ p5(X31) )
            & ( p4(X31)
              | p5(X31) )
            & ( ~ p5(X31)
              | ~ p4(X31) )
            & ( p3(X31)
              | p4(X31) )
            & ( ~ p4(X31)
              | ~ p3(X31) )
            & ( p2(X31)
              | p3(X31) )
            & ( ~ p3(X31)
              | ~ p2(X31) )
            & ( p1(X31)
              | p2(X31) )
            & ( ~ p2(X31)
              | ~ p1(X31) ) ) ) ),
    inference(variable_rename,[status(thm)],[23]) ).

fof(25,plain,
    ! [X3] :
      ( ~ epred1_1(X3)
      | ( r1(X3,esk5_1(X3))
        & r1(esk5_1(X3),esk6_1(X3))
        & r1(esk6_1(X3),esk7_1(X3))
        & r1(esk7_1(X3),esk8_1(X3))
        & r1(esk8_1(X3),esk9_1(X3))
        & r1(esk9_1(X3),esk10_1(X3))
        & r1(esk10_1(X3),esk11_1(X3))
        & r1(esk11_1(X3),esk12_1(X3))
        & r1(esk12_1(X3),esk13_1(X3))
        & r1(esk13_1(X3),esk14_1(X3))
        & r1(esk14_1(X3),esk15_1(X3))
        & r1(esk15_1(X3),esk16_1(X3))
        & r1(esk16_1(X3),esk17_1(X3))
        & $true
        & ! [X17] :
            ( ~ r1(esk16_1(X3),X17)
            | ( ( ~ p14(X17)
                | p13(X17) )
              & ( p14(X17)
                | ~ p13(X17) ) ) )
        & ! [X18] :
            ( ~ r1(esk15_1(X3),X18)
            | ( ( ~ p13(X18)
                | p12(X18) )
              & ( p13(X18)
                | ~ p12(X18) ) ) )
        & ! [X19] :
            ( ~ r1(esk14_1(X3),X19)
            | ( ( ~ p12(X19)
                | p11(X19) )
              & ( p12(X19)
                | ~ p11(X19) ) ) )
        & ! [X20] :
            ( ~ r1(esk13_1(X3),X20)
            | ( ( ~ p11(X20)
                | p10(X20) )
              & ( p11(X20)
                | ~ p10(X20) ) ) )
        & ! [X21] :
            ( ~ r1(esk12_1(X3),X21)
            | ( ( ~ p10(X21)
                | p9(X21) )
              & ( p10(X21)
                | ~ p9(X21) ) ) )
        & ! [X22] :
            ( ~ r1(esk11_1(X3),X22)
            | ( ( ~ p9(X22)
                | p8(X22) )
              & ( p9(X22)
                | ~ p8(X22) ) ) )
        & ! [X23] :
            ( ~ r1(esk10_1(X3),X23)
            | ( ( ~ p8(X23)
                | p7(X23) )
              & ( p8(X23)
                | ~ p7(X23) ) ) )
        & ! [X24] :
            ( ~ r1(esk9_1(X3),X24)
            | ( ( ~ p7(X24)
                | p6(X24) )
              & ( p7(X24)
                | ~ p6(X24) ) ) )
        & ! [X25] :
            ( ~ r1(esk8_1(X3),X25)
            | ( ( ~ p6(X25)
                | p5(X25) )
              & ( p6(X25)
                | ~ p5(X25) ) ) )
        & ! [X26] :
            ( ~ r1(esk7_1(X3),X26)
            | ( ( ~ p5(X26)
                | p4(X26) )
              & ( p5(X26)
                | ~ p4(X26) ) ) )
        & ! [X27] :
            ( ~ r1(esk6_1(X3),X27)
            | ( ( ~ p4(X27)
                | p3(X27) )
              & ( p4(X27)
                | ~ p3(X27) ) ) )
        & ! [X28] :
            ( ~ r1(esk5_1(X3),X28)
            | ( ( ~ p3(X28)
                | p2(X28) )
              & ( p3(X28)
                | ~ p2(X28) ) ) )
        & ! [X29] :
            ( ~ r1(X3,X29)
            | ( ( ~ p2(X29)
                | p1(X29) )
              & ( p2(X29)
                | ~ p1(X29) ) ) )
        & r1(X3,esk18_1(X3))
        & ~ p15(esk18_1(X3))
        & r1(X3,esk19_1(X3))
        & ( p13(esk19_1(X3))
          | p14(esk19_1(X3)) )
        & ( ~ p14(esk19_1(X3))
          | ~ p13(esk19_1(X3)) )
        & ( p12(esk19_1(X3))
          | p13(esk19_1(X3)) )
        & ( ~ p13(esk19_1(X3))
          | ~ p12(esk19_1(X3)) )
        & ( p11(esk19_1(X3))
          | p12(esk19_1(X3)) )
        & ( ~ p12(esk19_1(X3))
          | ~ p11(esk19_1(X3)) )
        & ( p10(esk19_1(X3))
          | p11(esk19_1(X3)) )
        & ( ~ p11(esk19_1(X3))
          | ~ p10(esk19_1(X3)) )
        & ( p9(esk19_1(X3))
          | p10(esk19_1(X3)) )
        & ( ~ p10(esk19_1(X3))
          | ~ p9(esk19_1(X3)) )
        & ( p8(esk19_1(X3))
          | p9(esk19_1(X3)) )
        & ( ~ p9(esk19_1(X3))
          | ~ p8(esk19_1(X3)) )
        & ( p7(esk19_1(X3))
          | p8(esk19_1(X3)) )
        & ( ~ p8(esk19_1(X3))
          | ~ p7(esk19_1(X3)) )
        & ( p6(esk19_1(X3))
          | p7(esk19_1(X3)) )
        & ( ~ p7(esk19_1(X3))
          | ~ p6(esk19_1(X3)) )
        & ( p5(esk19_1(X3))
          | p6(esk19_1(X3)) )
        & ( ~ p6(esk19_1(X3))
          | ~ p5(esk19_1(X3)) )
        & ( p4(esk19_1(X3))
          | p5(esk19_1(X3)) )
        & ( ~ p5(esk19_1(X3))
          | ~ p4(esk19_1(X3)) )
        & ( p3(esk19_1(X3))
          | p4(esk19_1(X3)) )
        & ( ~ p4(esk19_1(X3))
          | ~ p3(esk19_1(X3)) )
        & ( p2(esk19_1(X3))
          | p3(esk19_1(X3)) )
        & ( ~ p3(esk19_1(X3))
          | ~ p2(esk19_1(X3)) )
        & ( p1(esk19_1(X3))
          | p2(esk19_1(X3)) )
        & ( ~ p2(esk19_1(X3))
          | ~ p1(esk19_1(X3)) ) ) ),
    inference(skolemize,[status(esa)],[24]) ).

fof(26,plain,
    ! [X3,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
      ( ( ( ~ r1(X3,X29)
          | ( ( ~ p2(X29)
              | p1(X29) )
            & ( p2(X29)
              | ~ p1(X29) ) ) )
        & ( ~ r1(esk5_1(X3),X28)
          | ( ( ~ p3(X28)
              | p2(X28) )
            & ( p3(X28)
              | ~ p2(X28) ) ) )
        & ( ~ r1(esk6_1(X3),X27)
          | ( ( ~ p4(X27)
              | p3(X27) )
            & ( p4(X27)
              | ~ p3(X27) ) ) )
        & ( ~ r1(esk7_1(X3),X26)
          | ( ( ~ p5(X26)
              | p4(X26) )
            & ( p5(X26)
              | ~ p4(X26) ) ) )
        & ( ~ r1(esk8_1(X3),X25)
          | ( ( ~ p6(X25)
              | p5(X25) )
            & ( p6(X25)
              | ~ p5(X25) ) ) )
        & ( ~ r1(esk9_1(X3),X24)
          | ( ( ~ p7(X24)
              | p6(X24) )
            & ( p7(X24)
              | ~ p6(X24) ) ) )
        & ( ~ r1(esk10_1(X3),X23)
          | ( ( ~ p8(X23)
              | p7(X23) )
            & ( p8(X23)
              | ~ p7(X23) ) ) )
        & ( ~ r1(esk11_1(X3),X22)
          | ( ( ~ p9(X22)
              | p8(X22) )
            & ( p9(X22)
              | ~ p8(X22) ) ) )
        & ( ~ r1(esk12_1(X3),X21)
          | ( ( ~ p10(X21)
              | p9(X21) )
            & ( p10(X21)
              | ~ p9(X21) ) ) )
        & ( ~ r1(esk13_1(X3),X20)
          | ( ( ~ p11(X20)
              | p10(X20) )
            & ( p11(X20)
              | ~ p10(X20) ) ) )
        & ( ~ r1(esk14_1(X3),X19)
          | ( ( ~ p12(X19)
              | p11(X19) )
            & ( p12(X19)
              | ~ p11(X19) ) ) )
        & ( ~ r1(esk15_1(X3),X18)
          | ( ( ~ p13(X18)
              | p12(X18) )
            & ( p13(X18)
              | ~ p12(X18) ) ) )
        & ( ~ r1(esk16_1(X3),X17)
          | ( ( ~ p14(X17)
              | p13(X17) )
            & ( p14(X17)
              | ~ p13(X17) ) ) )
        & r1(esk15_1(X3),esk16_1(X3))
        & r1(esk16_1(X3),esk17_1(X3))
        & $true
        & r1(esk14_1(X3),esk15_1(X3))
        & r1(esk13_1(X3),esk14_1(X3))
        & r1(esk12_1(X3),esk13_1(X3))
        & r1(esk11_1(X3),esk12_1(X3))
        & r1(esk10_1(X3),esk11_1(X3))
        & r1(esk9_1(X3),esk10_1(X3))
        & r1(esk8_1(X3),esk9_1(X3))
        & r1(esk7_1(X3),esk8_1(X3))
        & r1(esk6_1(X3),esk7_1(X3))
        & r1(esk5_1(X3),esk6_1(X3))
        & r1(X3,esk5_1(X3))
        & r1(X3,esk18_1(X3))
        & ~ p15(esk18_1(X3))
        & r1(X3,esk19_1(X3))
        & ( p13(esk19_1(X3))
          | p14(esk19_1(X3)) )
        & ( ~ p14(esk19_1(X3))
          | ~ p13(esk19_1(X3)) )
        & ( p12(esk19_1(X3))
          | p13(esk19_1(X3)) )
        & ( ~ p13(esk19_1(X3))
          | ~ p12(esk19_1(X3)) )
        & ( p11(esk19_1(X3))
          | p12(esk19_1(X3)) )
        & ( ~ p12(esk19_1(X3))
          | ~ p11(esk19_1(X3)) )
        & ( p10(esk19_1(X3))
          | p11(esk19_1(X3)) )
        & ( ~ p11(esk19_1(X3))
          | ~ p10(esk19_1(X3)) )
        & ( p9(esk19_1(X3))
          | p10(esk19_1(X3)) )
        & ( ~ p10(esk19_1(X3))
          | ~ p9(esk19_1(X3)) )
        & ( p8(esk19_1(X3))
          | p9(esk19_1(X3)) )
        & ( ~ p9(esk19_1(X3))
          | ~ p8(esk19_1(X3)) )
        & ( p7(esk19_1(X3))
          | p8(esk19_1(X3)) )
        & ( ~ p8(esk19_1(X3))
          | ~ p7(esk19_1(X3)) )
        & ( p6(esk19_1(X3))
          | p7(esk19_1(X3)) )
        & ( ~ p7(esk19_1(X3))
          | ~ p6(esk19_1(X3)) )
        & ( p5(esk19_1(X3))
          | p6(esk19_1(X3)) )
        & ( ~ p6(esk19_1(X3))
          | ~ p5(esk19_1(X3)) )
        & ( p4(esk19_1(X3))
          | p5(esk19_1(X3)) )
        & ( ~ p5(esk19_1(X3))
          | ~ p4(esk19_1(X3)) )
        & ( p3(esk19_1(X3))
          | p4(esk19_1(X3)) )
        & ( ~ p4(esk19_1(X3))
          | ~ p3(esk19_1(X3)) )
        & ( p2(esk19_1(X3))
          | p3(esk19_1(X3)) )
        & ( ~ p3(esk19_1(X3))
          | ~ p2(esk19_1(X3)) )
        & ( p1(esk19_1(X3))
          | p2(esk19_1(X3)) )
        & ( ~ p2(esk19_1(X3))
          | ~ p1(esk19_1(X3)) ) )
      | ~ epred1_1(X3) ),
    inference(shift_quantors,[status(thm)],[25]) ).

fof(27,plain,
    ! [X3,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
      ( ( ~ p2(X29)
        | p1(X29)
        | ~ r1(X3,X29)
        | ~ epred1_1(X3) )
      & ( p2(X29)
        | ~ p1(X29)
        | ~ r1(X3,X29)
        | ~ epred1_1(X3) )
      & ( ~ p3(X28)
        | p2(X28)
        | ~ r1(esk5_1(X3),X28)
        | ~ epred1_1(X3) )
      & ( p3(X28)
        | ~ p2(X28)
        | ~ r1(esk5_1(X3),X28)
        | ~ epred1_1(X3) )
      & ( ~ p4(X27)
        | p3(X27)
        | ~ r1(esk6_1(X3),X27)
        | ~ epred1_1(X3) )
      & ( p4(X27)
        | ~ p3(X27)
        | ~ r1(esk6_1(X3),X27)
        | ~ epred1_1(X3) )
      & ( ~ p5(X26)
        | p4(X26)
        | ~ r1(esk7_1(X3),X26)
        | ~ epred1_1(X3) )
      & ( p5(X26)
        | ~ p4(X26)
        | ~ r1(esk7_1(X3),X26)
        | ~ epred1_1(X3) )
      & ( ~ p6(X25)
        | p5(X25)
        | ~ r1(esk8_1(X3),X25)
        | ~ epred1_1(X3) )
      & ( p6(X25)
        | ~ p5(X25)
        | ~ r1(esk8_1(X3),X25)
        | ~ epred1_1(X3) )
      & ( ~ p7(X24)
        | p6(X24)
        | ~ r1(esk9_1(X3),X24)
        | ~ epred1_1(X3) )
      & ( p7(X24)
        | ~ p6(X24)
        | ~ r1(esk9_1(X3),X24)
        | ~ epred1_1(X3) )
      & ( ~ p8(X23)
        | p7(X23)
        | ~ r1(esk10_1(X3),X23)
        | ~ epred1_1(X3) )
      & ( p8(X23)
        | ~ p7(X23)
        | ~ r1(esk10_1(X3),X23)
        | ~ epred1_1(X3) )
      & ( ~ p9(X22)
        | p8(X22)
        | ~ r1(esk11_1(X3),X22)
        | ~ epred1_1(X3) )
      & ( p9(X22)
        | ~ p8(X22)
        | ~ r1(esk11_1(X3),X22)
        | ~ epred1_1(X3) )
      & ( ~ p10(X21)
        | p9(X21)
        | ~ r1(esk12_1(X3),X21)
        | ~ epred1_1(X3) )
      & ( p10(X21)
        | ~ p9(X21)
        | ~ r1(esk12_1(X3),X21)
        | ~ epred1_1(X3) )
      & ( ~ p11(X20)
        | p10(X20)
        | ~ r1(esk13_1(X3),X20)
        | ~ epred1_1(X3) )
      & ( p11(X20)
        | ~ p10(X20)
        | ~ r1(esk13_1(X3),X20)
        | ~ epred1_1(X3) )
      & ( ~ p12(X19)
        | p11(X19)
        | ~ r1(esk14_1(X3),X19)
        | ~ epred1_1(X3) )
      & ( p12(X19)
        | ~ p11(X19)
        | ~ r1(esk14_1(X3),X19)
        | ~ epred1_1(X3) )
      & ( ~ p13(X18)
        | p12(X18)
        | ~ r1(esk15_1(X3),X18)
        | ~ epred1_1(X3) )
      & ( p13(X18)
        | ~ p12(X18)
        | ~ r1(esk15_1(X3),X18)
        | ~ epred1_1(X3) )
      & ( ~ p14(X17)
        | p13(X17)
        | ~ r1(esk16_1(X3),X17)
        | ~ epred1_1(X3) )
      & ( p14(X17)
        | ~ p13(X17)
        | ~ r1(esk16_1(X3),X17)
        | ~ epred1_1(X3) )
      & ( r1(esk15_1(X3),esk16_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk16_1(X3),esk17_1(X3))
        | ~ epred1_1(X3) )
      & ( $true
        | ~ epred1_1(X3) )
      & ( r1(esk14_1(X3),esk15_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk13_1(X3),esk14_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk12_1(X3),esk13_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk11_1(X3),esk12_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk10_1(X3),esk11_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk9_1(X3),esk10_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk8_1(X3),esk9_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk7_1(X3),esk8_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk6_1(X3),esk7_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk5_1(X3),esk6_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(X3,esk5_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(X3,esk18_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p15(esk18_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(X3,esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p13(esk19_1(X3))
        | p14(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p14(esk19_1(X3))
        | ~ p13(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p12(esk19_1(X3))
        | p13(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p13(esk19_1(X3))
        | ~ p12(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p11(esk19_1(X3))
        | p12(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p12(esk19_1(X3))
        | ~ p11(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p10(esk19_1(X3))
        | p11(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p11(esk19_1(X3))
        | ~ p10(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p9(esk19_1(X3))
        | p10(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p10(esk19_1(X3))
        | ~ p9(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p8(esk19_1(X3))
        | p9(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p9(esk19_1(X3))
        | ~ p8(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p7(esk19_1(X3))
        | p8(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p8(esk19_1(X3))
        | ~ p7(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p6(esk19_1(X3))
        | p7(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p7(esk19_1(X3))
        | ~ p6(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p5(esk19_1(X3))
        | p6(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p6(esk19_1(X3))
        | ~ p5(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p4(esk19_1(X3))
        | p5(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p5(esk19_1(X3))
        | ~ p4(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p3(esk19_1(X3))
        | p4(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p4(esk19_1(X3))
        | ~ p3(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p2(esk19_1(X3))
        | p3(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p3(esk19_1(X3))
        | ~ p2(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p1(esk19_1(X3))
        | p2(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p2(esk19_1(X3))
        | ~ p1(esk19_1(X3))
        | ~ epred1_1(X3) ) ),
    inference(distribute,[status(thm)],[26]) ).

cnf(28,plain,
    ( ~ epred1_1(X1)
    | ~ p1(esk19_1(X1))
    | ~ p2(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[27]) ).

cnf(29,plain,
    ( p2(esk19_1(X1))
    | p1(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[27]) ).

cnf(54,plain,
    ( r1(X1,esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[27]) ).

cnf(95,plain,
    ( p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p1(X2) ),
    inference(split_conjunct,[status(thm)],[27]) ).

cnf(96,plain,
    ( p1(X2)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p2(X2) ),
    inference(split_conjunct,[status(thm)],[27]) ).

cnf(97,negated_conjecture,
    epred1_1(esk4_0),
    inference(spm,[status(thm)],[17,22,theory(equality)]) ).

cnf(123,plain,
    ( epred1_1(esk19_1(esk4_0))
    | ~ epred1_1(esk4_0) ),
    inference(spm,[status(thm)],[17,54,theory(equality)]) ).

cnf(124,plain,
    ( p2(esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p1(esk19_1(X1)) ),
    inference(spm,[status(thm)],[95,54,theory(equality)]) ).

cnf(244,plain,
    ( p1(X1)
    | ~ epred1_1(X1)
    | ~ p2(X1) ),
    inference(spm,[status(thm)],[96,22,theory(equality)]) ).

cnf(298,plain,
    ( epred1_1(esk19_1(esk4_0))
    | $false ),
    inference(rw,[status(thm)],[123,97,theory(equality)]) ).

cnf(299,plain,
    epred1_1(esk19_1(esk4_0)),
    inference(cn,[status(thm)],[298,theory(equality)]) ).

cnf(318,plain,
    ( p2(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(csr,[status(thm)],[124,29]) ).

cnf(319,plain,
    ( ~ epred1_1(X1)
    | ~ p1(esk19_1(X1)) ),
    inference(spm,[status(thm)],[28,318,theory(equality)]) ).

cnf(321,plain,
    ( ~ epred1_1(X1)
    | ~ epred1_1(esk19_1(X1))
    | ~ p2(esk19_1(X1)) ),
    inference(spm,[status(thm)],[319,244,theory(equality)]) ).

cnf(323,plain,
    ( ~ epred1_1(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(csr,[status(thm)],[321,318]) ).

cnf(324,plain,
    ~ epred1_1(esk4_0),
    inference(spm,[status(thm)],[323,299,theory(equality)]) ).

cnf(325,plain,
    $false,
    inference(rw,[status(thm)],[324,97,theory(equality)]) ).

cnf(326,plain,
    $false,
    inference(cn,[status(thm)],[325,theory(equality)]) ).

cnf(327,plain,
    $false,
    326,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL686+1.005.p
% --creating new selector for []
% -running prover on /tmp/tmpaNgS7-/sel_LCL686+1.005.p_1 with time limit 29
% -prover status Theorem
% Problem LCL686+1.005.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL686+1.005.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL686+1.005.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------