TSTP Solution File: LCL674+1.010 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL674+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:27:50 EDT 2024

% Result   : Theorem 5.20s 1.03s
% Output   : CNFRefutation 5.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   91 (   8 unt;   0 def)
%            Number of atoms       : 1170 (   0 equ)
%            Maximal formula atoms :  226 (  12 avg)
%            Number of connectives : 1891 ( 812   ~; 624   |; 439   &)
%                                         (  15 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   40 (  39 usr;  16 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   1 con; 0-1 aty)
%            Number of variables   :  188 ( 165   !;  23   ?)

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

fof(f2,axiom,
    ! [X,Y,Z] :
      ( ( r1(X,Y)
        & r1(Y,Z) )
     => r1(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,conjecture,
    ~ ? [X] :
        ~ ( ~ ! [Y] :
                ( ~ r1(X,Y)
                | p5(Y) )
          | ~ ( ! [Y] :
                  ( ~ r1(X,Y)
                  | ( ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p11(X)
                                  & ~ p111(X)
                                  & p110(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p11(X)
                                  & ~ p111(X)
                                  & p110(X) ) ) )
                      | ~ ( ~ p110(Y)
                          & p109(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p10(X)
                                  & ~ p110(X)
                                  & p109(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p10(X)
                                  & ~ p110(X)
                                  & p109(X) ) ) )
                      | ~ ( ~ p109(Y)
                          & p108(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p9(X)
                                  & ~ p109(X)
                                  & p108(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p9(X)
                                  & ~ p109(X)
                                  & p108(X) ) ) )
                      | ~ ( ~ p108(Y)
                          & p107(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p8(X)
                                  & ~ p108(X)
                                  & p107(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p8(X)
                                  & ~ p108(X)
                                  & p107(X) ) ) )
                      | ~ ( ~ p107(Y)
                          & p106(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p7(X)
                                  & ~ p107(X)
                                  & p106(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p7(X)
                                  & ~ p107(X)
                                  & p106(X) ) ) )
                      | ~ ( ~ p106(Y)
                          & p105(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p6(X)
                                  & ~ p106(X)
                                  & p105(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p6(X)
                                  & ~ p106(X)
                                  & p105(X) ) ) )
                      | ~ ( ~ p105(Y)
                          & p104(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p5(X)
                                  & ~ p105(X)
                                  & p104(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p5(X)
                                  & ~ p105(X)
                                  & p104(X) ) ) )
                      | ~ ( ~ p104(Y)
                          & p103(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p4(X)
                                  & ~ p104(X)
                                  & p103(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p4(X)
                                  & ~ p104(X)
                                  & p103(X) ) ) )
                      | ~ ( ~ p103(Y)
                          & p102(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p3(X)
                                  & ~ p103(X)
                                  & p102(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p3(X)
                                  & ~ p103(X)
                                  & p102(X) ) ) )
                      | ~ ( ~ p102(Y)
                          & p101(Y) ) )
                    & ( ( ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( ~ p2(X)
                                  & ~ p102(X)
                                  & p101(X) ) )
                        & ~ ! [X] :
                              ( ~ r1(Y,X)
                              | ~ ( p2(X)
                                  & ~ p102(X)
                                  & p101(X) ) ) )
                      | ~ ( ~ p101(Y)
                          & p100(Y) ) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p11(X)
                              | ~ p110(X) )
                          | p11(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p11(X)
                              | ~ p110(X) )
                          | ~ p11(Y) ) )
                      | ~ p110(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p10(X)
                              | ~ p109(X) )
                          | p10(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p10(X)
                              | ~ p109(X) )
                          | ~ p10(Y) ) )
                      | ~ p109(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p9(X)
                              | ~ p108(X) )
                          | p9(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p9(X)
                              | ~ p108(X) )
                          | ~ p9(Y) ) )
                      | ~ p108(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p8(X)
                              | ~ p107(X) )
                          | p8(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p8(X)
                              | ~ p107(X) )
                          | ~ p8(Y) ) )
                      | ~ p107(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p7(X)
                              | ~ p106(X) )
                          | p7(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p7(X)
                              | ~ p106(X) )
                          | ~ p7(Y) ) )
                      | ~ p106(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p6(X)
                              | ~ p105(X) )
                          | p6(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p6(X)
                              | ~ p105(X) )
                          | ~ p6(Y) ) )
                      | ~ p105(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p5(X)
                              | ~ p104(X) )
                          | p5(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p5(X)
                              | ~ p104(X) )
                          | ~ p5(Y) ) )
                      | ~ p104(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p4(X)
                              | ~ p103(X) )
                          | p4(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p4(X)
                              | ~ p103(X) )
                          | ~ p4(Y) ) )
                      | ~ p103(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p3(X)
                              | ~ p102(X) )
                          | p3(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p3(X)
                              | ~ p102(X) )
                          | ~ p3(Y) ) )
                      | ~ p102(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p2(X)
                              | ~ p101(X) )
                          | p2(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p2(X)
                              | ~ p101(X) )
                          | ~ p2(Y) ) )
                      | ~ p101(Y) )
                    & ( ( ( ! [X] :
                              ( ~ r1(Y,X)
                              | ~ p1(X)
                              | ~ p100(X) )
                          | p1(Y) )
                        & ( ! [X] :
                              ( ~ r1(Y,X)
                              | p1(X)
                              | ~ p100(X) )
                          | ~ p1(Y) ) )
                      | ~ p100(Y) )
                    & ( p110(Y)
                      | ~ p111(Y) )
                    & ( p109(Y)
                      | ~ p110(Y) )
                    & ( p108(Y)
                      | ~ p109(Y) )
                    & ( p107(Y)
                      | ~ p108(Y) )
                    & ( p106(Y)
                      | ~ p107(Y) )
                    & ( p105(Y)
                      | ~ p106(Y) )
                    & ( p104(Y)
                      | ~ p105(Y) )
                    & ( p103(Y)
                      | ~ p104(Y) )
                    & ( p102(Y)
                      | ~ p103(Y) )
                    & ( p101(Y)
                      | ~ p102(Y) )
                    & ( p100(Y)
                      | ~ p101(Y) ) ) )
              & ~ p101(X)
              & p100(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p5(Y) )
            | ~ ( ! [Y] :
                    ( ~ r1(X,Y)
                    | ( ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p11(X)
                                    & ~ p111(X)
                                    & p110(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p11(X)
                                    & ~ p111(X)
                                    & p110(X) ) ) )
                        | ~ ( ~ p110(Y)
                            & p109(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p10(X)
                                    & ~ p110(X)
                                    & p109(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p10(X)
                                    & ~ p110(X)
                                    & p109(X) ) ) )
                        | ~ ( ~ p109(Y)
                            & p108(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p9(X)
                                    & ~ p109(X)
                                    & p108(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p9(X)
                                    & ~ p109(X)
                                    & p108(X) ) ) )
                        | ~ ( ~ p108(Y)
                            & p107(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p8(X)
                                    & ~ p108(X)
                                    & p107(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p8(X)
                                    & ~ p108(X)
                                    & p107(X) ) ) )
                        | ~ ( ~ p107(Y)
                            & p106(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p7(X)
                                    & ~ p107(X)
                                    & p106(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p7(X)
                                    & ~ p107(X)
                                    & p106(X) ) ) )
                        | ~ ( ~ p106(Y)
                            & p105(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p6(X)
                                    & ~ p106(X)
                                    & p105(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p6(X)
                                    & ~ p106(X)
                                    & p105(X) ) ) )
                        | ~ ( ~ p105(Y)
                            & p104(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p5(X)
                                    & ~ p105(X)
                                    & p104(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p5(X)
                                    & ~ p105(X)
                                    & p104(X) ) ) )
                        | ~ ( ~ p104(Y)
                            & p103(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p4(X)
                                    & ~ p104(X)
                                    & p103(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p4(X)
                                    & ~ p104(X)
                                    & p103(X) ) ) )
                        | ~ ( ~ p103(Y)
                            & p102(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p3(X)
                                    & ~ p103(X)
                                    & p102(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p3(X)
                                    & ~ p103(X)
                                    & p102(X) ) ) )
                        | ~ ( ~ p102(Y)
                            & p101(Y) ) )
                      & ( ( ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( ~ p2(X)
                                    & ~ p102(X)
                                    & p101(X) ) )
                          & ~ ! [X] :
                                ( ~ r1(Y,X)
                                | ~ ( p2(X)
                                    & ~ p102(X)
                                    & p101(X) ) ) )
                        | ~ ( ~ p101(Y)
                            & p100(Y) ) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p11(X)
                                | ~ p110(X) )
                            | p11(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p11(X)
                                | ~ p110(X) )
                            | ~ p11(Y) ) )
                        | ~ p110(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p10(X)
                                | ~ p109(X) )
                            | p10(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p10(X)
                                | ~ p109(X) )
                            | ~ p10(Y) ) )
                        | ~ p109(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p9(X)
                                | ~ p108(X) )
                            | p9(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p9(X)
                                | ~ p108(X) )
                            | ~ p9(Y) ) )
                        | ~ p108(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p8(X)
                                | ~ p107(X) )
                            | p8(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p8(X)
                                | ~ p107(X) )
                            | ~ p8(Y) ) )
                        | ~ p107(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p7(X)
                                | ~ p106(X) )
                            | p7(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p7(X)
                                | ~ p106(X) )
                            | ~ p7(Y) ) )
                        | ~ p106(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p6(X)
                                | ~ p105(X) )
                            | p6(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p6(X)
                                | ~ p105(X) )
                            | ~ p6(Y) ) )
                        | ~ p105(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p5(X)
                                | ~ p104(X) )
                            | p5(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p5(X)
                                | ~ p104(X) )
                            | ~ p5(Y) ) )
                        | ~ p104(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p4(X)
                                | ~ p103(X) )
                            | p4(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p4(X)
                                | ~ p103(X) )
                            | ~ p4(Y) ) )
                        | ~ p103(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p3(X)
                                | ~ p102(X) )
                            | p3(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p3(X)
                                | ~ p102(X) )
                            | ~ p3(Y) ) )
                        | ~ p102(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p2(X)
                                | ~ p101(X) )
                            | p2(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p2(X)
                                | ~ p101(X) )
                            | ~ p2(Y) ) )
                        | ~ p101(Y) )
                      & ( ( ( ! [X] :
                                ( ~ r1(Y,X)
                                | ~ p1(X)
                                | ~ p100(X) )
                            | p1(Y) )
                          & ( ! [X] :
                                ( ~ r1(Y,X)
                                | p1(X)
                                | ~ p100(X) )
                            | ~ p1(Y) ) )
                        | ~ p100(Y) )
                      & ( p110(Y)
                        | ~ p111(Y) )
                      & ( p109(Y)
                        | ~ p110(Y) )
                      & ( p108(Y)
                        | ~ p109(Y) )
                      & ( p107(Y)
                        | ~ p108(Y) )
                      & ( p106(Y)
                        | ~ p107(Y) )
                      & ( p105(Y)
                        | ~ p106(Y) )
                      & ( p104(Y)
                        | ~ p105(Y) )
                      & ( p103(Y)
                        | ~ p104(Y) )
                      & ( p102(Y)
                        | ~ p103(Y) )
                      & ( p101(Y)
                        | ~ p102(Y) )
                      & ( p100(Y)
                        | ~ p101(Y) ) ) )
                & ~ p101(X)
                & p100(X) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X,Y,Z] :
      ( ~ r1(X,Y)
      | ~ r1(Y,Z)
      | r1(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ r1(X,Y)
          | ~ r1(Y,Z) )
      | r1(X,Z) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | r1(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f9,plain,
    ? [X] :
      ( ! [Y] :
          ( ~ r1(X,Y)
          | p5(Y) )
      & ! [Y] :
          ( ~ r1(X,Y)
          | ( ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p11(X)
                    & ~ p111(X)
                    & p110(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p11(X)
                    & ~ p111(X)
                    & p110(X) ) )
              | p110(Y)
              | ~ p109(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p10(X)
                    & ~ p110(X)
                    & p109(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p10(X)
                    & ~ p110(X)
                    & p109(X) ) )
              | p109(Y)
              | ~ p108(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p9(X)
                    & ~ p109(X)
                    & p108(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p9(X)
                    & ~ p109(X)
                    & p108(X) ) )
              | p108(Y)
              | ~ p107(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p8(X)
                    & ~ p108(X)
                    & p107(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p8(X)
                    & ~ p108(X)
                    & p107(X) ) )
              | p107(Y)
              | ~ p106(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p7(X)
                    & ~ p107(X)
                    & p106(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p7(X)
                    & ~ p107(X)
                    & p106(X) ) )
              | p106(Y)
              | ~ p105(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p6(X)
                    & ~ p106(X)
                    & p105(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p6(X)
                    & ~ p106(X)
                    & p105(X) ) )
              | p105(Y)
              | ~ p104(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p5(X)
                    & ~ p105(X)
                    & p104(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p5(X)
                    & ~ p105(X)
                    & p104(X) ) )
              | p104(Y)
              | ~ p103(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p4(X)
                    & ~ p104(X)
                    & p103(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p4(X)
                    & ~ p104(X)
                    & p103(X) ) )
              | p103(Y)
              | ~ p102(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p3(X)
                    & ~ p103(X)
                    & p102(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p3(X)
                    & ~ p103(X)
                    & p102(X) ) )
              | p102(Y)
              | ~ p101(Y) )
            & ( ( ? [X] :
                    ( r1(Y,X)
                    & ~ p2(X)
                    & ~ p102(X)
                    & p101(X) )
                & ? [X] :
                    ( r1(Y,X)
                    & p2(X)
                    & ~ p102(X)
                    & p101(X) ) )
              | p101(Y)
              | ~ p100(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p11(X)
                      | ~ p110(X) )
                  | p11(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p11(X)
                      | ~ p110(X) )
                  | ~ p11(Y) ) )
              | ~ p110(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p10(X)
                      | ~ p109(X) )
                  | p10(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p10(X)
                      | ~ p109(X) )
                  | ~ p10(Y) ) )
              | ~ p109(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p9(X)
                      | ~ p108(X) )
                  | p9(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p9(X)
                      | ~ p108(X) )
                  | ~ p9(Y) ) )
              | ~ p108(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p8(X)
                      | ~ p107(X) )
                  | p8(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p8(X)
                      | ~ p107(X) )
                  | ~ p8(Y) ) )
              | ~ p107(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p7(X)
                      | ~ p106(X) )
                  | p7(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p7(X)
                      | ~ p106(X) )
                  | ~ p7(Y) ) )
              | ~ p106(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p6(X)
                      | ~ p105(X) )
                  | p6(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p6(X)
                      | ~ p105(X) )
                  | ~ p6(Y) ) )
              | ~ p105(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p5(X)
                      | ~ p104(X) )
                  | p5(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p5(X)
                      | ~ p104(X) )
                  | ~ p5(Y) ) )
              | ~ p104(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p4(X)
                      | ~ p103(X) )
                  | p4(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p4(X)
                      | ~ p103(X) )
                  | ~ p4(Y) ) )
              | ~ p103(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p3(X)
                      | ~ p102(X) )
                  | p3(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p3(X)
                      | ~ p102(X) )
                  | ~ p3(Y) ) )
              | ~ p102(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p2(X)
                      | ~ p101(X) )
                  | p2(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p2(X)
                      | ~ p101(X) )
                  | ~ p2(Y) ) )
              | ~ p101(Y) )
            & ( ( ( ! [X] :
                      ( ~ r1(Y,X)
                      | ~ p1(X)
                      | ~ p100(X) )
                  | p1(Y) )
                & ( ! [X] :
                      ( ~ r1(Y,X)
                      | p1(X)
                      | ~ p100(X) )
                  | ~ p1(Y) ) )
              | ~ p100(Y) )
            & ( p110(Y)
              | ~ p111(Y) )
            & ( p109(Y)
              | ~ p110(Y) )
            & ( p108(Y)
              | ~ p109(Y) )
            & ( p107(Y)
              | ~ p108(Y) )
            & ( p106(Y)
              | ~ p107(Y) )
            & ( p105(Y)
              | ~ p106(Y) )
            & ( p104(Y)
              | ~ p105(Y) )
            & ( p103(Y)
              | ~ p104(Y) )
            & ( p102(Y)
              | ~ p103(Y) )
            & ( p101(Y)
              | ~ p102(Y) )
            & ( p100(Y)
              | ~ p101(Y) ) ) )
      & ~ p101(X)
      & p100(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ( ! [Y] :
        ( ~ r1(sk0_0,Y)
        | p5(Y) )
    & ! [Y] :
        ( ~ r1(sk0_0,Y)
        | ( ( ( r1(Y,sk0_1(Y))
              & ~ p11(sk0_1(Y))
              & ~ p111(sk0_1(Y))
              & p110(sk0_1(Y))
              & r1(Y,sk0_2(Y))
              & p11(sk0_2(Y))
              & ~ p111(sk0_2(Y))
              & p110(sk0_2(Y)) )
            | p110(Y)
            | ~ p109(Y) )
          & ( ( r1(Y,sk0_3(Y))
              & ~ p10(sk0_3(Y))
              & ~ p110(sk0_3(Y))
              & p109(sk0_3(Y))
              & r1(Y,sk0_4(Y))
              & p10(sk0_4(Y))
              & ~ p110(sk0_4(Y))
              & p109(sk0_4(Y)) )
            | p109(Y)
            | ~ p108(Y) )
          & ( ( r1(Y,sk0_5(Y))
              & ~ p9(sk0_5(Y))
              & ~ p109(sk0_5(Y))
              & p108(sk0_5(Y))
              & r1(Y,sk0_6(Y))
              & p9(sk0_6(Y))
              & ~ p109(sk0_6(Y))
              & p108(sk0_6(Y)) )
            | p108(Y)
            | ~ p107(Y) )
          & ( ( r1(Y,sk0_7(Y))
              & ~ p8(sk0_7(Y))
              & ~ p108(sk0_7(Y))
              & p107(sk0_7(Y))
              & r1(Y,sk0_8(Y))
              & p8(sk0_8(Y))
              & ~ p108(sk0_8(Y))
              & p107(sk0_8(Y)) )
            | p107(Y)
            | ~ p106(Y) )
          & ( ( r1(Y,sk0_9(Y))
              & ~ p7(sk0_9(Y))
              & ~ p107(sk0_9(Y))
              & p106(sk0_9(Y))
              & r1(Y,sk0_10(Y))
              & p7(sk0_10(Y))
              & ~ p107(sk0_10(Y))
              & p106(sk0_10(Y)) )
            | p106(Y)
            | ~ p105(Y) )
          & ( ( r1(Y,sk0_11(Y))
              & ~ p6(sk0_11(Y))
              & ~ p106(sk0_11(Y))
              & p105(sk0_11(Y))
              & r1(Y,sk0_12(Y))
              & p6(sk0_12(Y))
              & ~ p106(sk0_12(Y))
              & p105(sk0_12(Y)) )
            | p105(Y)
            | ~ p104(Y) )
          & ( ( r1(Y,sk0_13(Y))
              & ~ p5(sk0_13(Y))
              & ~ p105(sk0_13(Y))
              & p104(sk0_13(Y))
              & r1(Y,sk0_14(Y))
              & p5(sk0_14(Y))
              & ~ p105(sk0_14(Y))
              & p104(sk0_14(Y)) )
            | p104(Y)
            | ~ p103(Y) )
          & ( ( r1(Y,sk0_15(Y))
              & ~ p4(sk0_15(Y))
              & ~ p104(sk0_15(Y))
              & p103(sk0_15(Y))
              & r1(Y,sk0_16(Y))
              & p4(sk0_16(Y))
              & ~ p104(sk0_16(Y))
              & p103(sk0_16(Y)) )
            | p103(Y)
            | ~ p102(Y) )
          & ( ( r1(Y,sk0_17(Y))
              & ~ p3(sk0_17(Y))
              & ~ p103(sk0_17(Y))
              & p102(sk0_17(Y))
              & r1(Y,sk0_18(Y))
              & p3(sk0_18(Y))
              & ~ p103(sk0_18(Y))
              & p102(sk0_18(Y)) )
            | p102(Y)
            | ~ p101(Y) )
          & ( ( r1(Y,sk0_19(Y))
              & ~ p2(sk0_19(Y))
              & ~ p102(sk0_19(Y))
              & p101(sk0_19(Y))
              & r1(Y,sk0_20(Y))
              & p2(sk0_20(Y))
              & ~ p102(sk0_20(Y))
              & p101(sk0_20(Y)) )
            | p101(Y)
            | ~ p100(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p11(X)
                    | ~ p110(X) )
                | p11(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p11(X)
                    | ~ p110(X) )
                | ~ p11(Y) ) )
            | ~ p110(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p10(X)
                    | ~ p109(X) )
                | p10(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p10(X)
                    | ~ p109(X) )
                | ~ p10(Y) ) )
            | ~ p109(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p9(X)
                    | ~ p108(X) )
                | p9(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p9(X)
                    | ~ p108(X) )
                | ~ p9(Y) ) )
            | ~ p108(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p8(X)
                    | ~ p107(X) )
                | p8(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p8(X)
                    | ~ p107(X) )
                | ~ p8(Y) ) )
            | ~ p107(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p7(X)
                    | ~ p106(X) )
                | p7(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p7(X)
                    | ~ p106(X) )
                | ~ p7(Y) ) )
            | ~ p106(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p6(X)
                    | ~ p105(X) )
                | p6(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p6(X)
                    | ~ p105(X) )
                | ~ p6(Y) ) )
            | ~ p105(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p5(X)
                    | ~ p104(X) )
                | p5(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p5(X)
                    | ~ p104(X) )
                | ~ p5(Y) ) )
            | ~ p104(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p4(X)
                    | ~ p103(X) )
                | p4(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p4(X)
                    | ~ p103(X) )
                | ~ p4(Y) ) )
            | ~ p103(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p3(X)
                    | ~ p102(X) )
                | p3(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p3(X)
                    | ~ p102(X) )
                | ~ p3(Y) ) )
            | ~ p102(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p2(X)
                    | ~ p101(X) )
                | p2(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p2(X)
                    | ~ p101(X) )
                | ~ p2(Y) ) )
            | ~ p101(Y) )
          & ( ( ( ! [X] :
                    ( ~ r1(Y,X)
                    | ~ p1(X)
                    | ~ p100(X) )
                | p1(Y) )
              & ( ! [X] :
                    ( ~ r1(Y,X)
                    | p1(X)
                    | ~ p100(X) )
                | ~ p1(Y) ) )
            | ~ p100(Y) )
          & ( p110(Y)
            | ~ p111(Y) )
          & ( p109(Y)
            | ~ p110(Y) )
          & ( p108(Y)
            | ~ p109(Y) )
          & ( p107(Y)
            | ~ p108(Y) )
          & ( p106(Y)
            | ~ p107(Y) )
          & ( p105(Y)
            | ~ p106(Y) )
          & ( p104(Y)
            | ~ p105(Y) )
          & ( p103(Y)
            | ~ p104(Y) )
          & ( p102(Y)
            | ~ p103(Y) )
          & ( p101(Y)
            | ~ p102(Y) )
          & ( p100(Y)
            | ~ p101(Y) ) ) )
    & ~ p101(sk0_0)
    & p100(sk0_0) ),
    inference(skolemization,[status(esa)],[f9]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | p5(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | r1(X0,sk0_13(X0))
      | p104(X0)
      | ~ p103(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | ~ p5(sk0_13(X0))
      | p104(X0)
      | ~ p103(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | r1(X0,sk0_16(X0))
      | p103(X0)
      | ~ p102(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | ~ p104(sk0_16(X0))
      | p103(X0)
      | ~ p102(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | p103(sk0_16(X0))
      | p103(X0)
      | ~ p102(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | r1(X0,sk0_18(X0))
      | p102(X0)
      | ~ p101(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | ~ p103(sk0_18(X0))
      | p102(X0)
      | ~ p101(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | p102(sk0_18(X0))
      | p102(X0)
      | ~ p101(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | r1(X0,sk0_19(X0))
      | p101(X0)
      | ~ p100(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | ~ p102(sk0_19(X0))
      | p101(X0)
      | ~ p100(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ r1(sk0_0,X0)
      | p101(sk0_19(X0))
      | p101(X0)
      | ~ p100(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f125,plain,
    ~ p101(sk0_0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f126,plain,
    p100(sk0_0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f216,plain,
    ( spl0_18
  <=> p101(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f217,plain,
    ( p101(sk0_0)
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f221,plain,
    ( $false
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f217,f125]) ).

fof(f222,plain,
    ~ spl0_18,
    inference(contradiction_clause,[status(thm)],[f221]) ).

fof(f223,plain,
    ( spl0_19
  <=> p100(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f225,plain,
    ( ~ p100(sk0_0)
    | spl0_19 ),
    inference(component_clause,[status(thm)],[f223]) ).

fof(f358,plain,
    ( spl0_46
  <=> p101(sk0_19(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f361,plain,
    ( p101(sk0_19(sk0_0))
    | p101(sk0_0)
    | ~ p100(sk0_0) ),
    inference(resolution,[status(thm)],[f87,f5]) ).

fof(f362,plain,
    ( spl0_46
    | spl0_18
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f361,f358,f216,f223]) ).

fof(f368,plain,
    ( $false
    | spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f225,f126]) ).

fof(f369,plain,
    spl0_19,
    inference(contradiction_clause,[status(thm)],[f368]) ).

fof(f430,plain,
    ( spl0_60
  <=> r1(sk0_0,sk0_19(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f431,plain,
    ( r1(sk0_0,sk0_19(sk0_0))
    | ~ spl0_60 ),
    inference(component_clause,[status(thm)],[f430]) ).

fof(f433,plain,
    ( r1(sk0_0,sk0_19(sk0_0))
    | p101(sk0_0)
    | ~ p100(sk0_0) ),
    inference(resolution,[status(thm)],[f84,f5]) ).

fof(f434,plain,
    ( spl0_60
    | spl0_18
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f433,f430,f216,f223]) ).

fof(f443,plain,
    ( spl0_63
  <=> r1(sk0_19(sk0_0),sk0_18(sk0_19(sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f444,plain,
    ( r1(sk0_19(sk0_0),sk0_18(sk0_19(sk0_0)))
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( spl0_64
  <=> p102(sk0_19(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f447,plain,
    ( p102(sk0_19(sk0_0))
    | ~ spl0_64 ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f449,plain,
    ( r1(sk0_19(sk0_0),sk0_18(sk0_19(sk0_0)))
    | p102(sk0_19(sk0_0))
    | ~ p101(sk0_19(sk0_0))
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f431,f80]) ).

fof(f450,plain,
    ( spl0_63
    | spl0_64
    | ~ spl0_46
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f449,f443,f446,f358,f430]) ).

fof(f531,plain,
    ( spl0_83
  <=> p102(sk0_18(sk0_19(sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f534,plain,
    ( p102(sk0_18(sk0_19(sk0_0)))
    | p102(sk0_19(sk0_0))
    | ~ p101(sk0_19(sk0_0))
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f431,f83]) ).

fof(f535,plain,
    ( spl0_83
    | spl0_64
    | ~ spl0_46
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f534,f531,f446,f358,f430]) ).

fof(f737,plain,
    ( spl0_121
  <=> r1(sk0_0,sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f739,plain,
    ( ~ r1(sk0_0,sk0_0)
    | spl0_121 ),
    inference(component_clause,[status(thm)],[f737]) ).

fof(f740,plain,
    ( ~ r1(sk0_0,sk0_0)
    | p101(sk0_0)
    | ~ p100(sk0_0)
    | ~ spl0_64 ),
    inference(resolution,[status(thm)],[f447,f86]) ).

fof(f741,plain,
    ( ~ spl0_121
    | spl0_18
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(split_clause,[status(thm)],[f740,f737,f216,f223,f446]) ).

fof(f742,plain,
    ( $false
    | spl0_121 ),
    inference(forward_subsumption_resolution,[status(thm)],[f739,f5]) ).

fof(f743,plain,
    spl0_121,
    inference(contradiction_clause,[status(thm)],[f742]) ).

fof(f745,plain,
    ! [X0] :
      ( ~ r1(X0,sk0_19(sk0_0))
      | r1(X0,sk0_18(sk0_19(sk0_0)))
      | ~ spl0_63 ),
    inference(resolution,[status(thm)],[f444,f8]) ).

fof(f1600,plain,
    ( r1(sk0_0,sk0_18(sk0_19(sk0_0)))
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f745,f431]) ).

fof(f1635,plain,
    ( spl0_300
  <=> p103(sk0_18(sk0_19(sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f1636,plain,
    ( p103(sk0_18(sk0_19(sk0_0)))
    | ~ spl0_300 ),
    inference(component_clause,[status(thm)],[f1635]) ).

fof(f1769,plain,
    ( spl0_332
  <=> r1(sk0_18(sk0_19(sk0_0)),sk0_16(sk0_18(sk0_19(sk0_0)))) ),
    introduced(split_symbol_definition) ).

fof(f1770,plain,
    ( r1(sk0_18(sk0_19(sk0_0)),sk0_16(sk0_18(sk0_19(sk0_0))))
    | ~ spl0_332 ),
    inference(component_clause,[status(thm)],[f1769]) ).

fof(f1772,plain,
    ( r1(sk0_18(sk0_19(sk0_0)),sk0_16(sk0_18(sk0_19(sk0_0))))
    | p103(sk0_18(sk0_19(sk0_0)))
    | ~ p102(sk0_18(sk0_19(sk0_0)))
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f1600,f72]) ).

fof(f1773,plain,
    ( spl0_332
    | spl0_300
    | ~ spl0_83
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f1772,f1769,f1635,f531,f443,f430]) ).

fof(f1844,plain,
    ( spl0_347
  <=> p103(sk0_16(sk0_18(sk0_19(sk0_0)))) ),
    introduced(split_symbol_definition) ).

fof(f1847,plain,
    ( p103(sk0_16(sk0_18(sk0_19(sk0_0))))
    | p103(sk0_18(sk0_19(sk0_0)))
    | ~ p102(sk0_18(sk0_19(sk0_0)))
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f1600,f75]) ).

fof(f1848,plain,
    ( spl0_347
    | spl0_300
    | ~ spl0_83
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f1847,f1844,f1635,f531,f443,f430]) ).

fof(f2026,plain,
    ( ~ r1(sk0_0,sk0_19(sk0_0))
    | p102(sk0_19(sk0_0))
    | ~ p101(sk0_19(sk0_0))
    | ~ spl0_300 ),
    inference(resolution,[status(thm)],[f1636,f82]) ).

fof(f2027,plain,
    ( ~ spl0_60
    | spl0_64
    | ~ spl0_46
    | ~ spl0_300 ),
    inference(split_clause,[status(thm)],[f2026,f430,f446,f358,f1635]) ).

fof(f3624,plain,
    ! [X0] :
      ( ~ r1(X0,sk0_18(sk0_19(sk0_0)))
      | r1(X0,sk0_16(sk0_18(sk0_19(sk0_0))))
      | ~ spl0_332 ),
    inference(resolution,[status(thm)],[f1770,f8]) ).

fof(f4045,plain,
    ( r1(sk0_0,sk0_16(sk0_18(sk0_19(sk0_0))))
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f3624,f1600]) ).

fof(f4090,plain,
    ( spl0_695
  <=> p104(sk0_16(sk0_18(sk0_19(sk0_0)))) ),
    introduced(split_symbol_definition) ).

fof(f4091,plain,
    ( p104(sk0_16(sk0_18(sk0_19(sk0_0))))
    | ~ spl0_695 ),
    inference(component_clause,[status(thm)],[f4090]) ).

fof(f4226,plain,
    ( spl0_727
  <=> r1(sk0_16(sk0_18(sk0_19(sk0_0))),sk0_13(sk0_16(sk0_18(sk0_19(sk0_0))))) ),
    introduced(split_symbol_definition) ).

fof(f4227,plain,
    ( r1(sk0_16(sk0_18(sk0_19(sk0_0))),sk0_13(sk0_16(sk0_18(sk0_19(sk0_0)))))
    | ~ spl0_727 ),
    inference(component_clause,[status(thm)],[f4226]) ).

fof(f4229,plain,
    ( r1(sk0_16(sk0_18(sk0_19(sk0_0))),sk0_13(sk0_16(sk0_18(sk0_19(sk0_0)))))
    | p104(sk0_16(sk0_18(sk0_19(sk0_0))))
    | ~ p103(sk0_16(sk0_18(sk0_19(sk0_0))))
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f4045,f60]) ).

fof(f4230,plain,
    ( spl0_727
    | spl0_695
    | ~ spl0_347
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f4229,f4226,f4090,f1844,f1769,f443,f430]) ).

fof(f4468,plain,
    ( spl0_771
  <=> r1(sk0_0,sk0_18(sk0_19(sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f4470,plain,
    ( ~ r1(sk0_0,sk0_18(sk0_19(sk0_0)))
    | spl0_771 ),
    inference(component_clause,[status(thm)],[f4468]) ).

fof(f4471,plain,
    ( ~ r1(sk0_0,sk0_18(sk0_19(sk0_0)))
    | p103(sk0_18(sk0_19(sk0_0)))
    | ~ p102(sk0_18(sk0_19(sk0_0)))
    | ~ spl0_695 ),
    inference(resolution,[status(thm)],[f4091,f74]) ).

fof(f4472,plain,
    ( ~ spl0_771
    | spl0_300
    | ~ spl0_83
    | ~ spl0_695 ),
    inference(split_clause,[status(thm)],[f4471,f4468,f1635,f531,f4090]) ).

fof(f4473,plain,
    ( $false
    | ~ spl0_63
    | ~ spl0_60
    | spl0_771 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4470,f1600]) ).

fof(f4474,plain,
    ( ~ spl0_63
    | ~ spl0_60
    | spl0_771 ),
    inference(contradiction_clause,[status(thm)],[f4473]) ).

fof(f7574,plain,
    ! [X0] :
      ( ~ r1(X0,sk0_16(sk0_18(sk0_19(sk0_0))))
      | r1(X0,sk0_13(sk0_16(sk0_18(sk0_19(sk0_0)))))
      | ~ spl0_727 ),
    inference(resolution,[status(thm)],[f4227,f8]) ).

fof(f8146,plain,
    ( r1(sk0_0,sk0_13(sk0_16(sk0_18(sk0_19(sk0_0)))))
    | ~ spl0_727
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f7574,f4045]) ).

fof(f8570,plain,
    ( spl0_1578
  <=> r1(sk0_0,sk0_16(sk0_18(sk0_19(sk0_0)))) ),
    introduced(split_symbol_definition) ).

fof(f8572,plain,
    ( ~ r1(sk0_0,sk0_16(sk0_18(sk0_19(sk0_0))))
    | spl0_1578 ),
    inference(component_clause,[status(thm)],[f8570]) ).

fof(f8575,plain,
    ( $false
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60
    | spl0_1578 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8572,f4045]) ).

fof(f8576,plain,
    ( ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60
    | spl0_1578 ),
    inference(contradiction_clause,[status(thm)],[f8575]) ).

fof(f8998,plain,
    ( p5(sk0_13(sk0_16(sk0_18(sk0_19(sk0_0)))))
    | ~ spl0_727
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f8146,f11]) ).

fof(f9000,plain,
    ( ~ r1(sk0_0,sk0_16(sk0_18(sk0_19(sk0_0))))
    | p104(sk0_16(sk0_18(sk0_19(sk0_0))))
    | ~ p103(sk0_16(sk0_18(sk0_19(sk0_0))))
    | ~ spl0_727
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(resolution,[status(thm)],[f8998,f61]) ).

fof(f9001,plain,
    ( ~ spl0_1578
    | spl0_695
    | ~ spl0_347
    | ~ spl0_727
    | ~ spl0_332
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f9000,f8570,f4090,f1844,f4226,f1769,f443,f430]) ).

fof(f9002,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f222,f362,f369,f434,f450,f535,f741,f743,f1773,f1848,f2027,f4230,f4472,f4474,f8576,f9001]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL674+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 20:24:02 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 5.20/1.03  % Refutation found
% 5.20/1.03  % SZS status Theorem for theBenchmark: Theorem is valid
% 5.20/1.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.20/1.05  % Elapsed time: 0.692520 seconds
% 5.20/1.05  % CPU time: 5.388985 seconds
% 5.20/1.05  % Total memory used: 61.221 MB
% 5.20/1.05  % Net memory used: 59.169 MB
%------------------------------------------------------------------------------