TSTP Solution File: LCL668+1.001 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : LCL668+1.001 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.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 20:02:48 EST 2010

% Result   : Theorem 9.40s
% Output   : CNFRefutation 9.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   78 (  11 unt;   0 def)
%            Number of atoms       : 1106 (   0 equ)
%            Maximal formula atoms :  154 (  14 avg)
%            Number of connectives : 1912 ( 884   ~; 803   |; 225   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-4 aty)
%            Number of variables   :  575 (   0 sgn 293   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [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)
                                  | ( ~ p12(X1)
                                    & ~ p10(X1)
                                    & ~ p8(X1)
                                    & ~ p6(X1)
                                    & ~ p4(X1)
                                    & ~ p2(X1) ) ) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p7(X2) )
          | ~ ! [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)
                                                  | ~ ( ( ~ p5(X1)
                                                        & ~ p1(X1) )
                                                      | ( p1(X1)
                                                        & p5(X1) ) ) ) ) ) ) ) ) )
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | p6(X1) )
                    | ~ ! [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)
                                                        | ~ ( ( ~ p4(X1)
                                                              & ~ p5(X1) )
                                                            | ( p5(X1)
                                                              & p4(X1) ) ) ) ) ) ) ) )
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p5(X2) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ~ ( ( ~ p3(X1)
                                                                    & ~ p4(X1) )
                                                                  | ( p4(X1)
                                                                    & p3(X1) ) ) ) ) ) ) )
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p4(X1) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ( ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ! [X1] :
                                                                    ( ~ r1(X2,X1)
                                                                    | ~ ( ( ~ p2(X1)
                                                                          & ~ p3(X1) )
                                                                        | ( p3(X1)
                                                                          & p2(X1) ) ) ) ) ) )
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | p3(X2) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ~ ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ~ ( ( ~ p1(X1)
                                                                              & ~ p2(X1) )
                                                                            | ( p2(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)
                                  | ( p6(X1)
                                    & p5(X1)
                                    & p4(X1)
                                    & p3(X1)
                                    & p2(X1)
                                    & p1(X1) ) ) ) ) ) ) ) ),
    file('/tmp/tmpKRs6TS/sel_LCL668+1.001.p_1',main) ).

fof(2,axiom,
    ! [X1] : r1(X1,X1),
    file('/tmp/tmpKRs6TS/sel_LCL668+1.001.p_1',reflexivity) ).

fof(3,negated_conjecture,
    ~ ~ ? [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)
                                    | ( ~ p12(X1)
                                      & ~ p10(X1)
                                      & ~ p8(X1)
                                      & ~ p6(X1)
                                      & ~ p4(X1)
                                      & ~ p2(X1) ) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p7(X2) )
            | ~ ! [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)
                                                    | ~ ( ( ~ p5(X1)
                                                          & ~ p1(X1) )
                                                        | ( p1(X1)
                                                          & p5(X1) ) ) ) ) ) ) ) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p6(X1) )
                      | ~ ! [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)
                                                          | ~ ( ( ~ p4(X1)
                                                                & ~ p5(X1) )
                                                              | ( p5(X1)
                                                                & p4(X1) ) ) ) ) ) ) ) )
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p5(X2) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ( ( ~ p3(X1)
                                                                      & ~ p4(X1) )
                                                                    | ( p4(X1)
                                                                      & p3(X1) ) ) ) ) ) ) )
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p4(X1) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ~ ( ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ ( ( ~ p2(X1)
                                                                            & ~ p3(X1) )
                                                                          | ( p3(X1)
                                                                            & p2(X1) ) ) ) ) ) )
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | p3(X2) )
                                                    | ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ~ ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( ~ p1(X1)
                                                                                & ~ p2(X1) )
                                                                              | ( p2(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)
                                    | ( p6(X1)
                                      & p5(X1)
                                      & p4(X1)
                                      & p3(X1)
                                      & p2(X1)
                                      & p1(X1) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(4,negated_conjecture,
    ~ ~ ? [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)
                                    | ( ~ p12(X1)
                                      & ~ p10(X1)
                                      & ~ p8(X1)
                                      & ~ p6(X1)
                                      & ~ p4(X1)
                                      & ~ p2(X1) ) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p7(X2) )
            | ~ ! [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)
                                                    | ~ ( ( ~ p5(X1)
                                                          & ~ p1(X1) )
                                                        | ( p1(X1)
                                                          & p5(X1) ) ) ) ) ) ) ) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p6(X1) )
                      | ~ ! [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)
                                                          | ~ ( ( ~ p4(X1)
                                                                & ~ p5(X1) )
                                                              | ( p5(X1)
                                                                & p4(X1) ) ) ) ) ) ) ) )
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p5(X2) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ( ( ~ p3(X1)
                                                                      & ~ p4(X1) )
                                                                    | ( p4(X1)
                                                                      & p3(X1) ) ) ) ) ) ) )
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p4(X1) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ~ ( ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ~ ( ( ~ p2(X1)
                                                                            & ~ p3(X1) )
                                                                          | ( p3(X1)
                                                                            & p2(X1) ) ) ) ) ) )
                                                    | ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | p3(X2) )
                                                    | ~ ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ~ ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( ~ p1(X1)
                                                                                & ~ p2(X1) )
                                                                              | ( p2(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)
                                    | ( p6(X1)
                                      & p5(X1)
                                      & p4(X1)
                                      & p3(X1)
                                      & p2(X1)
                                      & p1(X1) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).

fof(5,negated_conjecture,
    ? [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)
                              & ( p12(X1)
                                | p10(X1)
                                | p8(X1)
                                | p6(X1)
                                | p4(X1)
                                | p2(X1) ) ) ) ) ) ) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p7(X2) )
      & ! [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)
                                        | ( ( p5(X1)
                                            | p1(X1) )
                                          & ( ~ p1(X1)
                                            | ~ p5(X1) ) ) ) ) ) ) ) ) )
            & ? [X1] :
                ( r1(X2,X1)
                & ~ p6(X1) )
            & ! [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)
                                          | ( ( p4(X1)
                                              | p5(X1) )
                                            & ( ~ p5(X1)
                                              | ~ p4(X1) ) ) ) ) ) ) ) )
                  & ? [X2] :
                      ( r1(X1,X2)
                      & ~ p5(X2) )
                  & ! [X2] :
                      ( ~ r1(X1,X2)
                      | ( ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ( ( p3(X1)
                                                | p4(X1) )
                                              & ( ~ p4(X1)
                                                | ~ p3(X1) ) ) ) ) ) ) )
                        & ? [X1] :
                            ( r1(X2,X1)
                            & ~ p4(X1) )
                        & ! [X1] :
                            ( ~ r1(X2,X1)
                            | ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ( ( p2(X1)
                                                  | p3(X1) )
                                                & ( ~ p3(X1)
                                                  | ~ p2(X1) ) ) ) ) ) )
                              & ? [X2] :
                                  ( r1(X1,X2)
                                  & ~ p3(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ( ( p1(X1)
                                                  | p2(X1) )
                                                & ( ~ p2(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)
                              & ( ~ p6(X1)
                                | ~ p5(X1)
                                | ~ p4(X1)
                                | ~ p3(X1)
                                | ~ p2(X1)
                                | ~ p1(X1) ) ) ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ? [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)
                              & ( p12(X9)
                                | p10(X9)
                                | p8(X9)
                                | p6(X9)
                                | p4(X9)
                                | p2(X9) ) ) ) ) ) ) )
      & ? [X10] :
          ( r1(X3,X10)
          & ~ p7(X10) )
      & ! [X11] :
          ( ~ r1(X3,X11)
          | ( ! [X12] :
                ( ~ r1(X11,X12)
                | ! [X13] :
                    ( ~ r1(X12,X13)
                    | ! [X14] :
                        ( ~ r1(X13,X14)
                        | ! [X15] :
                            ( ~ r1(X14,X15)
                            | ! [X16] :
                                ( ~ r1(X15,X16)
                                | ! [X17] :
                                    ( ~ r1(X16,X17)
                                    | ! [X18] :
                                        ( ~ r1(X17,X18)
                                        | ( ( p5(X18)
                                            | p1(X18) )
                                          & ( ~ p1(X18)
                                            | ~ p5(X18) ) ) ) ) ) ) ) ) )
            & ? [X19] :
                ( r1(X11,X19)
                & ~ p6(X19) )
            & ! [X20] :
                ( ~ r1(X11,X20)
                | ( ! [X21] :
                      ( ~ r1(X20,X21)
                      | ! [X22] :
                          ( ~ r1(X21,X22)
                          | ! [X23] :
                              ( ~ r1(X22,X23)
                              | ! [X24] :
                                  ( ~ r1(X23,X24)
                                  | ! [X25] :
                                      ( ~ r1(X24,X25)
                                      | ! [X26] :
                                          ( ~ r1(X25,X26)
                                          | ( ( p4(X26)
                                              | p5(X26) )
                                            & ( ~ p5(X26)
                                              | ~ p4(X26) ) ) ) ) ) ) ) )
                  & ? [X27] :
                      ( r1(X20,X27)
                      & ~ p5(X27) )
                  & ! [X28] :
                      ( ~ r1(X20,X28)
                      | ( ! [X29] :
                            ( ~ r1(X28,X29)
                            | ! [X30] :
                                ( ~ r1(X29,X30)
                                | ! [X31] :
                                    ( ~ r1(X30,X31)
                                    | ! [X32] :
                                        ( ~ r1(X31,X32)
                                        | ! [X33] :
                                            ( ~ r1(X32,X33)
                                            | ( ( p3(X33)
                                                | p4(X33) )
                                              & ( ~ p4(X33)
                                                | ~ p3(X33) ) ) ) ) ) ) )
                        & ? [X34] :
                            ( r1(X28,X34)
                            & ~ p4(X34) )
                        & ! [X35] :
                            ( ~ r1(X28,X35)
                            | ( ! [X36] :
                                  ( ~ r1(X35,X36)
                                  | ! [X37] :
                                      ( ~ r1(X36,X37)
                                      | ! [X38] :
                                          ( ~ r1(X37,X38)
                                          | ! [X39] :
                                              ( ~ r1(X38,X39)
                                              | ( ( p2(X39)
                                                  | p3(X39) )
                                                & ( ~ p3(X39)
                                                  | ~ p2(X39) ) ) ) ) ) )
                              & ? [X40] :
                                  ( r1(X35,X40)
                                  & ~ p3(X40) )
                              & ! [X41] :
                                  ( ~ r1(X35,X41)
                                  | ! [X42] :
                                      ( ~ r1(X41,X42)
                                      | ! [X43] :
                                          ( ~ r1(X42,X43)
                                          | ! [X44] :
                                              ( ~ r1(X43,X44)
                                              | ( ( p1(X44)
                                                  | p2(X44) )
                                                & ( ~ p2(X44)
                                                  | ~ p1(X44) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ? [X45] :
          ( r1(X3,X45)
          & ? [X46] :
              ( r1(X45,X46)
              & ? [X47] :
                  ( r1(X46,X47)
                  & ? [X48] :
                      ( r1(X47,X48)
                      & ? [X49] :
                          ( r1(X48,X49)
                          & ? [X50] :
                              ( r1(X49,X50)
                              & ( ~ p6(X50)
                                | ~ p5(X50)
                                | ~ p4(X50)
                                | ~ p3(X50)
                                | ~ p2(X50)
                                | ~ p1(X50) ) ) ) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ( r1(esk1_0,esk2_0)
    & r1(esk2_0,esk3_0)
    & r1(esk3_0,esk4_0)
    & r1(esk4_0,esk5_0)
    & r1(esk5_0,esk6_0)
    & r1(esk6_0,esk7_0)
    & ( p12(esk7_0)
      | p10(esk7_0)
      | p8(esk7_0)
      | p6(esk7_0)
      | p4(esk7_0)
      | p2(esk7_0) )
    & r1(esk1_0,esk8_0)
    & ~ p7(esk8_0)
    & ! [X11] :
        ( ~ r1(esk1_0,X11)
        | ( ! [X12] :
              ( ~ r1(X11,X12)
              | ! [X13] :
                  ( ~ r1(X12,X13)
                  | ! [X14] :
                      ( ~ r1(X13,X14)
                      | ! [X15] :
                          ( ~ r1(X14,X15)
                          | ! [X16] :
                              ( ~ r1(X15,X16)
                              | ! [X17] :
                                  ( ~ r1(X16,X17)
                                  | ! [X18] :
                                      ( ~ r1(X17,X18)
                                      | ( ( p5(X18)
                                          | p1(X18) )
                                        & ( ~ p1(X18)
                                          | ~ p5(X18) ) ) ) ) ) ) ) ) )
          & r1(X11,esk9_1(X11))
          & ~ p6(esk9_1(X11))
          & ! [X20] :
              ( ~ r1(X11,X20)
              | ( ! [X21] :
                    ( ~ r1(X20,X21)
                    | ! [X22] :
                        ( ~ r1(X21,X22)
                        | ! [X23] :
                            ( ~ r1(X22,X23)
                            | ! [X24] :
                                ( ~ r1(X23,X24)
                                | ! [X25] :
                                    ( ~ r1(X24,X25)
                                    | ! [X26] :
                                        ( ~ r1(X25,X26)
                                        | ( ( p4(X26)
                                            | p5(X26) )
                                          & ( ~ p5(X26)
                                            | ~ p4(X26) ) ) ) ) ) ) ) )
                & r1(X20,esk10_2(X11,X20))
                & ~ p5(esk10_2(X11,X20))
                & ! [X28] :
                    ( ~ r1(X20,X28)
                    | ( ! [X29] :
                          ( ~ r1(X28,X29)
                          | ! [X30] :
                              ( ~ r1(X29,X30)
                              | ! [X31] :
                                  ( ~ r1(X30,X31)
                                  | ! [X32] :
                                      ( ~ r1(X31,X32)
                                      | ! [X33] :
                                          ( ~ r1(X32,X33)
                                          | ( ( p3(X33)
                                              | p4(X33) )
                                            & ( ~ p4(X33)
                                              | ~ p3(X33) ) ) ) ) ) ) )
                      & r1(X28,esk11_3(X11,X20,X28))
                      & ~ p4(esk11_3(X11,X20,X28))
                      & ! [X35] :
                          ( ~ r1(X28,X35)
                          | ( ! [X36] :
                                ( ~ r1(X35,X36)
                                | ! [X37] :
                                    ( ~ r1(X36,X37)
                                    | ! [X38] :
                                        ( ~ r1(X37,X38)
                                        | ! [X39] :
                                            ( ~ r1(X38,X39)
                                            | ( ( p2(X39)
                                                | p3(X39) )
                                              & ( ~ p3(X39)
                                                | ~ p2(X39) ) ) ) ) ) )
                            & r1(X35,esk12_4(X11,X20,X28,X35))
                            & ~ p3(esk12_4(X11,X20,X28,X35))
                            & ! [X41] :
                                ( ~ r1(X35,X41)
                                | ! [X42] :
                                    ( ~ r1(X41,X42)
                                    | ! [X43] :
                                        ( ~ r1(X42,X43)
                                        | ! [X44] :
                                            ( ~ r1(X43,X44)
                                            | ( ( p1(X44)
                                                | p2(X44) )
                                              & ( ~ p2(X44)
                                                | ~ p1(X44) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    & r1(esk1_0,esk13_0)
    & r1(esk13_0,esk14_0)
    & r1(esk14_0,esk15_0)
    & r1(esk15_0,esk16_0)
    & r1(esk16_0,esk17_0)
    & r1(esk17_0,esk18_0)
    & ( ~ p6(esk18_0)
      | ~ p5(esk18_0)
      | ~ p4(esk18_0)
      | ~ p3(esk18_0)
      | ~ p2(esk18_0)
      | ~ p1(esk18_0) ) ),
    inference(skolemize,[status(esa)],[6]) ).

fof(8,negated_conjecture,
    ! [X11,X12,X13,X14,X15,X16,X17,X18,X20,X21,X22,X23,X24,X25,X26,X28,X29,X30,X31,X32,X33,X35,X36,X37,X38,X39,X41,X42,X43,X44] :
      ( ( ( ( ( ( ( ( ( ( ~ r1(X43,X44)
                        | ( ( p1(X44)
                            | p2(X44) )
                          & ( ~ p2(X44)
                            | ~ p1(X44) ) )
                        | ~ r1(X42,X43)
                        | ~ r1(X41,X42)
                        | ~ r1(X35,X41) )
                      & ( ~ r1(X38,X39)
                        | ( ( p2(X39)
                            | p3(X39) )
                          & ( ~ p3(X39)
                            | ~ p2(X39) ) )
                        | ~ r1(X37,X38)
                        | ~ r1(X36,X37)
                        | ~ r1(X35,X36) )
                      & r1(X35,esk12_4(X11,X20,X28,X35))
                      & ~ p3(esk12_4(X11,X20,X28,X35)) )
                    | ~ r1(X28,X35) )
                  & ( ~ r1(X32,X33)
                    | ( ( p3(X33)
                        | p4(X33) )
                      & ( ~ p4(X33)
                        | ~ p3(X33) ) )
                    | ~ r1(X31,X32)
                    | ~ r1(X30,X31)
                    | ~ r1(X29,X30)
                    | ~ r1(X28,X29) )
                  & r1(X28,esk11_3(X11,X20,X28))
                  & ~ p4(esk11_3(X11,X20,X28)) )
                | ~ r1(X20,X28) )
              & ( ~ r1(X25,X26)
                | ( ( p4(X26)
                    | p5(X26) )
                  & ( ~ p5(X26)
                    | ~ p4(X26) ) )
                | ~ r1(X24,X25)
                | ~ r1(X23,X24)
                | ~ r1(X22,X23)
                | ~ r1(X21,X22)
                | ~ r1(X20,X21) )
              & r1(X20,esk10_2(X11,X20))
              & ~ p5(esk10_2(X11,X20)) )
            | ~ r1(X11,X20) )
          & ( ~ r1(X17,X18)
            | ( ( p5(X18)
                | p1(X18) )
              & ( ~ p1(X18)
                | ~ p5(X18) ) )
            | ~ r1(X16,X17)
            | ~ r1(X15,X16)
            | ~ r1(X14,X15)
            | ~ r1(X13,X14)
            | ~ r1(X12,X13)
            | ~ r1(X11,X12) )
          & r1(X11,esk9_1(X11))
          & ~ p6(esk9_1(X11)) )
        | ~ r1(esk1_0,X11) )
      & r1(esk1_0,esk2_0)
      & r1(esk2_0,esk3_0)
      & r1(esk3_0,esk4_0)
      & r1(esk4_0,esk5_0)
      & r1(esk5_0,esk6_0)
      & r1(esk6_0,esk7_0)
      & ( p12(esk7_0)
        | p10(esk7_0)
        | p8(esk7_0)
        | p6(esk7_0)
        | p4(esk7_0)
        | p2(esk7_0) )
      & r1(esk1_0,esk8_0)
      & ~ p7(esk8_0)
      & r1(esk1_0,esk13_0)
      & r1(esk13_0,esk14_0)
      & r1(esk14_0,esk15_0)
      & r1(esk15_0,esk16_0)
      & r1(esk16_0,esk17_0)
      & r1(esk17_0,esk18_0)
      & ( ~ p6(esk18_0)
        | ~ p5(esk18_0)
        | ~ p4(esk18_0)
        | ~ p3(esk18_0)
        | ~ p2(esk18_0)
        | ~ p1(esk18_0) ) ),
    inference(shift_quantors,[status(thm)],[7]) ).

fof(9,negated_conjecture,
    ! [X11,X12,X13,X14,X15,X16,X17,X18,X20,X21,X22,X23,X24,X25,X26,X28,X29,X30,X31,X32,X33,X35,X36,X37,X38,X39,X41,X42,X43,X44] :
      ( ( p1(X44)
        | p2(X44)
        | ~ r1(X43,X44)
        | ~ r1(X42,X43)
        | ~ r1(X41,X42)
        | ~ r1(X35,X41)
        | ~ r1(X28,X35)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( ~ p2(X44)
        | ~ p1(X44)
        | ~ r1(X43,X44)
        | ~ r1(X42,X43)
        | ~ r1(X41,X42)
        | ~ r1(X35,X41)
        | ~ r1(X28,X35)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( p2(X39)
        | p3(X39)
        | ~ r1(X38,X39)
        | ~ r1(X37,X38)
        | ~ r1(X36,X37)
        | ~ r1(X35,X36)
        | ~ r1(X28,X35)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( ~ p3(X39)
        | ~ p2(X39)
        | ~ r1(X38,X39)
        | ~ r1(X37,X38)
        | ~ r1(X36,X37)
        | ~ r1(X35,X36)
        | ~ r1(X28,X35)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( r1(X35,esk12_4(X11,X20,X28,X35))
        | ~ r1(X28,X35)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( ~ p3(esk12_4(X11,X20,X28,X35))
        | ~ r1(X28,X35)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( p3(X33)
        | p4(X33)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( ~ p4(X33)
        | ~ p3(X33)
        | ~ r1(X32,X33)
        | ~ r1(X31,X32)
        | ~ r1(X30,X31)
        | ~ r1(X29,X30)
        | ~ r1(X28,X29)
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( r1(X28,esk11_3(X11,X20,X28))
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( ~ p4(esk11_3(X11,X20,X28))
        | ~ r1(X20,X28)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( p4(X26)
        | p5(X26)
        | ~ r1(X25,X26)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(X22,X23)
        | ~ r1(X21,X22)
        | ~ r1(X20,X21)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( ~ p5(X26)
        | ~ p4(X26)
        | ~ r1(X25,X26)
        | ~ r1(X24,X25)
        | ~ r1(X23,X24)
        | ~ r1(X22,X23)
        | ~ r1(X21,X22)
        | ~ r1(X20,X21)
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( r1(X20,esk10_2(X11,X20))
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( ~ p5(esk10_2(X11,X20))
        | ~ r1(X11,X20)
        | ~ r1(esk1_0,X11) )
      & ( p5(X18)
        | p1(X18)
        | ~ r1(X17,X18)
        | ~ r1(X16,X17)
        | ~ r1(X15,X16)
        | ~ r1(X14,X15)
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(esk1_0,X11) )
      & ( ~ p1(X18)
        | ~ p5(X18)
        | ~ r1(X17,X18)
        | ~ r1(X16,X17)
        | ~ r1(X15,X16)
        | ~ r1(X14,X15)
        | ~ r1(X13,X14)
        | ~ r1(X12,X13)
        | ~ r1(X11,X12)
        | ~ r1(esk1_0,X11) )
      & ( r1(X11,esk9_1(X11))
        | ~ r1(esk1_0,X11) )
      & ( ~ p6(esk9_1(X11))
        | ~ r1(esk1_0,X11) )
      & r1(esk1_0,esk2_0)
      & r1(esk2_0,esk3_0)
      & r1(esk3_0,esk4_0)
      & r1(esk4_0,esk5_0)
      & r1(esk5_0,esk6_0)
      & r1(esk6_0,esk7_0)
      & ( p12(esk7_0)
        | p10(esk7_0)
        | p8(esk7_0)
        | p6(esk7_0)
        | p4(esk7_0)
        | p2(esk7_0) )
      & r1(esk1_0,esk8_0)
      & ~ p7(esk8_0)
      & r1(esk1_0,esk13_0)
      & r1(esk13_0,esk14_0)
      & r1(esk14_0,esk15_0)
      & r1(esk15_0,esk16_0)
      & r1(esk16_0,esk17_0)
      & r1(esk17_0,esk18_0)
      & ( ~ p6(esk18_0)
        | ~ p5(esk18_0)
        | ~ p4(esk18_0)
        | ~ p3(esk18_0)
        | ~ p2(esk18_0)
        | ~ p1(esk18_0) ) ),
    inference(distribute,[status(thm)],[8]) ).

cnf(22,negated_conjecture,
    r1(esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(23,negated_conjecture,
    r1(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(24,negated_conjecture,
    r1(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(25,negated_conjecture,
    r1(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(29,negated_conjecture,
    ( p1(X8)
    | p5(X8)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(32,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ p4(X8)
    | ~ p5(X8) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(36,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ p3(X8)
    | ~ p4(X8) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(37,negated_conjecture,
    ( p4(X8)
    | p3(X8)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(38,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ p3(esk12_4(X1,X2,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(39,negated_conjecture,
    ( r1(X4,esk12_4(X1,X2,X3,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(41,negated_conjecture,
    ( p3(X8)
    | p2(X8)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8) ),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(42,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ p1(X8)
    | ~ p2(X8) ),
    inference(split_conjunct,[status(thm)],[9]) ).

fof(44,plain,
    ! [X2] : r1(X2,X2),
    inference(variable_rename,[status(thm)],[2]) ).

cnf(45,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[44]) ).

cnf(56,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk2_0,X7) ),
    inference(spm,[status(thm)],[37,25,theory(equality)]) ).

cnf(76,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk2_0,X7) ),
    inference(spm,[status(thm)],[41,25,theory(equality)]) ).

cnf(86,negated_conjecture,
    ( p1(X1)
    | p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk2_0,X7) ),
    inference(spm,[status(thm)],[29,25,theory(equality)]) ).

cnf(96,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk2_0,X7) ),
    inference(spm,[status(thm)],[32,25,theory(equality)]) ).

cnf(106,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk2_0,X7) ),
    inference(spm,[status(thm)],[36,25,theory(equality)]) ).

cnf(116,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk2_0,X7) ),
    inference(spm,[status(thm)],[42,25,theory(equality)]) ).

cnf(154,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk3_0,X6) ),
    inference(spm,[status(thm)],[96,24,theory(equality)]) ).

cnf(162,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk4_0,X5) ),
    inference(spm,[status(thm)],[154,23,theory(equality)]) ).

cnf(168,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk5_0,X4) ),
    inference(spm,[status(thm)],[162,22,theory(equality)]) ).

cnf(175,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk5_0,X3) ),
    inference(spm,[status(thm)],[168,45,theory(equality)]) ).

cnf(283,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk5_0,X2) ),
    inference(spm,[status(thm)],[175,45,theory(equality)]) ).

cnf(289,negated_conjecture,
    ( ~ p5(X1)
    | ~ p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[283,45,theory(equality)]) ).

cnf(425,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk3_0,X6) ),
    inference(spm,[status(thm)],[56,24,theory(equality)]) ).

cnf(923,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk3_0,X6) ),
    inference(spm,[status(thm)],[76,24,theory(equality)]) ).

cnf(1200,negated_conjecture,
    ( p1(X1)
    | p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk3_0,X6) ),
    inference(spm,[status(thm)],[86,24,theory(equality)]) ).

cnf(1638,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk3_0,X6) ),
    inference(spm,[status(thm)],[106,24,theory(equality)]) ).

cnf(1918,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk3_0,X6) ),
    inference(spm,[status(thm)],[116,24,theory(equality)]) ).

cnf(6524,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk4_0,X5) ),
    inference(spm,[status(thm)],[425,23,theory(equality)]) ).

cnf(6580,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk5_0,X4) ),
    inference(spm,[status(thm)],[6524,22,theory(equality)]) ).

cnf(6605,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk5_0,X3) ),
    inference(spm,[status(thm)],[6580,45,theory(equality)]) ).

cnf(6694,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk5_0,X2) ),
    inference(spm,[status(thm)],[6605,45,theory(equality)]) ).

cnf(6710,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[6694,45,theory(equality)]) ).

cnf(6715,negated_conjecture,
    ( p4(esk12_4(X1,X2,X3,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(esk5_0,esk12_4(X1,X2,X3,X4)) ),
    inference(spm,[status(thm)],[38,6710,theory(equality)]) ).

cnf(8321,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk4_0,X5) ),
    inference(spm,[status(thm)],[1638,23,theory(equality)]) ).

cnf(8342,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk5_0,X4) ),
    inference(spm,[status(thm)],[8321,22,theory(equality)]) ).

cnf(8349,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk5_0,X3) ),
    inference(spm,[status(thm)],[8342,45,theory(equality)]) ).

cnf(8504,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk5_0,X2) ),
    inference(spm,[status(thm)],[8349,45,theory(equality)]) ).

cnf(8516,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[8504,45,theory(equality)]) ).

cnf(14212,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk4_0,X5) ),
    inference(spm,[status(thm)],[923,23,theory(equality)]) ).

cnf(15940,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk5_0,X4) ),
    inference(spm,[status(thm)],[14212,22,theory(equality)]) ).

cnf(15991,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk5_0,X3) ),
    inference(spm,[status(thm)],[15940,45,theory(equality)]) ).

cnf(16334,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk5_0,X2) ),
    inference(spm,[status(thm)],[15991,45,theory(equality)]) ).

cnf(16364,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[16334,45,theory(equality)]) ).

cnf(16393,negated_conjecture,
    ( p2(X1)
    | ~ p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[8516,16364,theory(equality)]) ).

cnf(17092,negated_conjecture,
    ( p1(X1)
    | p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk4_0,X5) ),
    inference(spm,[status(thm)],[1200,23,theory(equality)]) ).

cnf(21778,negated_conjecture,
    ( p1(X1)
    | p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk5_0,X4) ),
    inference(spm,[status(thm)],[17092,22,theory(equality)]) ).

cnf(21842,negated_conjecture,
    ( p1(X1)
    | p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk5_0,X3) ),
    inference(spm,[status(thm)],[21778,45,theory(equality)]) ).

cnf(21928,negated_conjecture,
    ( p1(X1)
    | p5(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk5_0,X2) ),
    inference(spm,[status(thm)],[21842,45,theory(equality)]) ).

cnf(21949,negated_conjecture,
    ( p1(X1)
    | p5(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[21928,45,theory(equality)]) ).

cnf(23397,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk4_0,X5) ),
    inference(spm,[status(thm)],[1918,23,theory(equality)]) ).

cnf(23403,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk5_0,X4) ),
    inference(spm,[status(thm)],[23397,22,theory(equality)]) ).

cnf(23416,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk5_0,X3) ),
    inference(spm,[status(thm)],[23403,45,theory(equality)]) ).

cnf(24554,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk5_0,X2) ),
    inference(spm,[status(thm)],[23416,45,theory(equality)]) ).

cnf(24565,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[24554,45,theory(equality)]) ).

cnf(24670,negated_conjecture,
    ( p5(X1)
    | ~ p2(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[24565,21949,theory(equality)]) ).

cnf(24702,negated_conjecture,
    ( ~ p4(X1)
    | ~ r1(esk5_0,X1)
    | ~ p2(X1) ),
    inference(spm,[status(thm)],[289,24670,theory(equality)]) ).

cnf(24840,negated_conjecture,
    ( ~ p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(csr,[status(thm)],[24702,16393]) ).

cnf(24893,negated_conjecture,
    ( ~ r1(esk5_0,esk12_4(X1,X2,X3,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[24840,6715,theory(equality)]) ).

cnf(27690,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X3,esk5_0)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[24893,39,theory(equality)]) ).

cnf(27691,negated_conjecture,
    ( ~ r1(X1,esk5_0)
    | ~ r1(X2,X1)
    | ~ r1(esk2_0,X2) ),
    inference(spm,[status(thm)],[27690,25,theory(equality)]) ).

cnf(27701,negated_conjecture,
    ( ~ r1(esk2_0,X1)
    | ~ r1(X1,esk4_0) ),
    inference(spm,[status(thm)],[27691,22,theory(equality)]) ).

cnf(27714,negated_conjecture,
    ~ r1(esk3_0,esk4_0),
    inference(spm,[status(thm)],[27701,24,theory(equality)]) ).

cnf(27720,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[27714,23,theory(equality)]) ).

cnf(27721,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[27720,theory(equality)]) ).

cnf(27722,negated_conjecture,
    $false,
    27721,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL668+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpKRs6TS/sel_LCL668+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL668+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL668+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL668+1.001.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
% 
%------------------------------------------------------------------------------