TSTP Solution File: LCL686+1.005 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:33:39 EDT 2023

% Result   : Theorem 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :  667 (   0 equ)
%            Maximal formula atoms :  214 (  31 avg)
%            Number of connectives : 1152 ( 506   ~; 416   |; 228   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   85 (  14 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   2 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   4 con; 0-1 aty)
%            Number of variables   :  125 (   0 sgn; 111   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ~ p15(X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ $true )
                                                                        | ~ ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ ( ( p14(X2)
                                                                                    & ~ p13(X2) )
                                                                                  | ( ~ p14(X2)
                                                                                    & p13(X2) ) ) ) )
                                                                    | ~ ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( p13(X1)
                                                                                & ~ p12(X1) )
                                                                              | ( ~ p13(X1)
                                                                                & p12(X1) ) ) ) )
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ( ( p12(X2)
                                                                            & ~ p11(X2) )
                                                                          | ( ~ p12(X2)
                                                                            & p11(X2) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ( p11(X1)
                                                                        & ~ p10(X1) )
                                                                      | ( ~ p11(X1)
                                                                        & p10(X1) ) ) ) )
                                                        | ~ ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ~ ( ( p10(X2)
                                                                    & ~ p9(X2) )
                                                                  | ( ~ p10(X2)
                                                                    & p9(X2) ) ) ) )
                                                    | ~ ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ( ( p9(X1)
                                                                & ~ p8(X1) )
                                                              | ( ~ p9(X1)
                                                                & p8(X1) ) ) ) )
                                                | ~ ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ( ( p8(X2)
                                                            & ~ p7(X2) )
                                                          | ( ~ p8(X2)
                                                            & p7(X2) ) ) ) )
                                            | ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ( p7(X1)
                                                        & ~ p6(X1) )
                                                      | ( ~ p7(X1)
                                                        & p6(X1) ) ) ) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ( p6(X2)
                                                    & ~ p5(X2) )
                                                  | ( ~ p6(X2)
                                                    & p5(X2) ) ) ) )
                                    | ~ ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( p5(X1)
                                                & ~ p4(X1) )
                                              | ( ~ p5(X1)
                                                & p4(X1) ) ) ) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ( p4(X2)
                                            & ~ p3(X2) )
                                          | ( ~ p4(X2)
                                            & p3(X2) ) ) ) )
                            | ~ ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ( ( p3(X1)
                                        & ~ p2(X1) )
                                      | ( ~ p3(X1)
                                        & p2(X1) ) ) ) )
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ( ( p2(X2)
                                    & ~ p1(X2) )
                                  | ( ~ p2(X2)
                                    & p1(X2) ) ) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | p15(X2) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ( ~ p13(X2)
                              & ~ p14(X2) )
                            | ( p14(X2)
                              & p13(X2) )
                            | ( ~ p12(X2)
                              & ~ p13(X2) )
                            | ( p13(X2)
                              & p12(X2) )
                            | ( ~ p11(X2)
                              & ~ p12(X2) )
                            | ( p12(X2)
                              & p11(X2) )
                            | ( ~ p10(X2)
                              & ~ p11(X2) )
                            | ( p11(X2)
                              & p10(X2) )
                            | ( ~ p9(X2)
                              & ~ p10(X2) )
                            | ( p10(X2)
                              & p9(X2) )
                            | ( ~ p8(X2)
                              & ~ p9(X2) )
                            | ( p9(X2)
                              & p8(X2) )
                            | ( ~ p7(X2)
                              & ~ p8(X2) )
                            | ( p8(X2)
                              & p7(X2) )
                            | ( ~ p6(X2)
                              & ~ p7(X2) )
                            | ( p7(X2)
                              & p6(X2) )
                            | ( ~ p5(X2)
                              & ~ p6(X2) )
                            | ( p6(X2)
                              & p5(X2) )
                            | ( ~ p4(X2)
                              & ~ p5(X2) )
                            | ( p5(X2)
                              & p4(X2) )
                            | ( ~ p3(X2)
                              & ~ p4(X2) )
                            | ( p4(X2)
                              & p3(X2) )
                            | ( ~ p2(X2)
                              & ~ p3(X2) )
                            | ( p3(X2)
                              & p2(X2) )
                            | ( ~ p1(X2)
                              & ~ p2(X2) )
                            | ( p2(X2)
                              & p1(X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Q2pYks25ll/E---3.1_26401.p',main) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.Q2pYks25ll/E---3.1_26401.p',reflexivity) ).

fof(c_0_2,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] : ~ r1(X1,X2)
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p14(X2)
                                                                      & ~ p13(X2) )
                                                                    | ( ~ p14(X2)
                                                                      & p13(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p13(X1)
                                                                  & ~ p12(X1) )
                                                                | ( ~ p13(X1)
                                                                  & p12(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p12(X2)
                                                              & ~ p11(X2) )
                                                            | ( ~ p12(X2)
                                                              & p11(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p11(X1)
                                                          & ~ p10(X1) )
                                                        | ( ~ p11(X1)
                                                          & p10(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p10(X2)
                                                      & ~ p9(X2) )
                                                    | ( ~ p10(X2)
                                                      & p9(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p9(X1)
                                                  & ~ p8(X1) )
                                                | ( ~ p9(X1)
                                                  & p8(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p8(X2)
                                              & ~ p7(X2) )
                                            | ( ~ p8(X2)
                                              & p7(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p7(X1)
                                          & ~ p6(X1) )
                                        | ( ~ p7(X1)
                                          & p6(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p6(X2)
                                      & ~ p5(X2) )
                                    | ( ~ p6(X2)
                                      & p5(X2) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ( p5(X1)
                                  & ~ p4(X1) )
                                | ( ~ p5(X1)
                                  & p4(X1) ) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ( p4(X2)
                              & ~ p3(X2) )
                            | ( ~ p4(X2)
                              & p3(X2) ) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ( p3(X1)
                          & ~ p2(X1) )
                        | ( ~ p3(X1)
                          & p2(X1) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ( p2(X2)
                      & ~ p1(X2) )
                    | ( ~ p2(X2)
                      & p1(X2) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p15(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( ~ p13(X2)
                & ~ p14(X2) )
              | ( p14(X2)
                & p13(X2) )
              | ( ~ p12(X2)
                & ~ p13(X2) )
              | ( p13(X2)
                & p12(X2) )
              | ( ~ p11(X2)
                & ~ p12(X2) )
              | ( p12(X2)
                & p11(X2) )
              | ( ~ p10(X2)
                & ~ p11(X2) )
              | ( p11(X2)
                & p10(X2) )
              | ( ~ p9(X2)
                & ~ p10(X2) )
              | ( p10(X2)
                & p9(X2) )
              | ( ~ p8(X2)
                & ~ p9(X2) )
              | ( p9(X2)
                & p8(X2) )
              | ( ~ p7(X2)
                & ~ p8(X2) )
              | ( p8(X2)
                & p7(X2) )
              | ( ~ p6(X2)
                & ~ p7(X2) )
              | ( p7(X2)
                & p6(X2) )
              | ( ~ p5(X2)
                & ~ p6(X2) )
              | ( p6(X2)
                & p5(X2) )
              | ( ~ p4(X2)
                & ~ p5(X2) )
              | ( p5(X2)
                & p4(X2) )
              | ( ~ p3(X2)
                & ~ p4(X2) )
              | ( p4(X2)
                & p3(X2) )
              | ( ~ p2(X2)
                & ~ p3(X2) )
              | ( p3(X2)
                & p2(X2) )
              | ( ~ p1(X2)
                & ~ p2(X2) )
              | ( p2(X2)
                & p1(X2) ) ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] : ~ r1(X1,X2)
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p14(X2)
                                                                      & ~ p13(X2) )
                                                                    | ( ~ p14(X2)
                                                                      & p13(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p13(X1)
                                                                  & ~ p12(X1) )
                                                                | ( ~ p13(X1)
                                                                  & p12(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p12(X2)
                                                              & ~ p11(X2) )
                                                            | ( ~ p12(X2)
                                                              & p11(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p11(X1)
                                                          & ~ p10(X1) )
                                                        | ( ~ p11(X1)
                                                          & p10(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p10(X2)
                                                      & ~ p9(X2) )
                                                    | ( ~ p10(X2)
                                                      & p9(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p9(X1)
                                                  & ~ p8(X1) )
                                                | ( ~ p9(X1)
                                                  & p8(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p8(X2)
                                              & ~ p7(X2) )
                                            | ( ~ p8(X2)
                                              & p7(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p7(X1)
                                          & ~ p6(X1) )
                                        | ( ~ p7(X1)
                                          & p6(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p6(X2)
                                      & ~ p5(X2) )
                                    | ( ~ p6(X2)
                                      & p5(X2) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ( p5(X1)
                                  & ~ p4(X1) )
                                | ( ~ p5(X1)
                                  & p4(X1) ) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ( p4(X2)
                              & ~ p3(X2) )
                            | ( ~ p4(X2)
                              & p3(X2) ) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ( p3(X1)
                          & ~ p2(X1) )
                        | ( ~ p3(X1)
                          & p2(X1) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ( p2(X2)
                      & ~ p1(X2) )
                    | ( ~ p2(X2)
                      & p1(X2) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p15(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( ~ p13(X2)
                & ~ p14(X2) )
              | ( p14(X2)
                & p13(X2) )
              | ( ~ p12(X2)
                & ~ p13(X2) )
              | ( p13(X2)
                & p12(X2) )
              | ( ~ p11(X2)
                & ~ p12(X2) )
              | ( p12(X2)
                & p11(X2) )
              | ( ~ p10(X2)
                & ~ p11(X2) )
              | ( p11(X2)
                & p10(X2) )
              | ( ~ p9(X2)
                & ~ p10(X2) )
              | ( p10(X2)
                & p9(X2) )
              | ( ~ p8(X2)
                & ~ p9(X2) )
              | ( p9(X2)
                & p8(X2) )
              | ( ~ p7(X2)
                & ~ p8(X2) )
              | ( p8(X2)
                & p7(X2) )
              | ( ~ p6(X2)
                & ~ p7(X2) )
              | ( p7(X2)
                & p6(X2) )
              | ( ~ p5(X2)
                & ~ p6(X2) )
              | ( p6(X2)
                & p5(X2) )
              | ( ~ p4(X2)
                & ~ p5(X2) )
              | ( p5(X2)
                & p4(X2) )
              | ( ~ p3(X2)
                & ~ p4(X2) )
              | ( p4(X2)
                & p3(X2) )
              | ( ~ p2(X2)
                & ~ p3(X2) )
              | ( p3(X2)
                & p2(X2) )
              | ( ~ p1(X2)
                & ~ p2(X2) )
              | ( p2(X2)
                & p1(X2) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p15(X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | epred1_1(X1) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).

fof(c_0_5,plain,
    ! [X13,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
      ( ( r1(X13,esk5_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk5_1(X13),esk6_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk6_1(X13),esk7_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk7_1(X13),esk8_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk8_1(X13),esk9_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk9_1(X13),esk10_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk10_1(X13),esk11_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk11_1(X13),esk12_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk12_1(X13),esk13_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk13_1(X13),esk14_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk14_1(X13),esk15_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk15_1(X13),esk16_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(esk16_1(X13),esk17_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p14(X27)
        | p13(X27)
        | ~ r1(esk16_1(X13),X27)
        | ~ epred1_1(X13) )
      & ( p14(X27)
        | ~ p13(X27)
        | ~ r1(esk16_1(X13),X27)
        | ~ epred1_1(X13) )
      & ( ~ p13(X28)
        | p12(X28)
        | ~ r1(esk15_1(X13),X28)
        | ~ epred1_1(X13) )
      & ( p13(X28)
        | ~ p12(X28)
        | ~ r1(esk15_1(X13),X28)
        | ~ epred1_1(X13) )
      & ( ~ p12(X29)
        | p11(X29)
        | ~ r1(esk14_1(X13),X29)
        | ~ epred1_1(X13) )
      & ( p12(X29)
        | ~ p11(X29)
        | ~ r1(esk14_1(X13),X29)
        | ~ epred1_1(X13) )
      & ( ~ p11(X30)
        | p10(X30)
        | ~ r1(esk13_1(X13),X30)
        | ~ epred1_1(X13) )
      & ( p11(X30)
        | ~ p10(X30)
        | ~ r1(esk13_1(X13),X30)
        | ~ epred1_1(X13) )
      & ( ~ p10(X31)
        | p9(X31)
        | ~ r1(esk12_1(X13),X31)
        | ~ epred1_1(X13) )
      & ( p10(X31)
        | ~ p9(X31)
        | ~ r1(esk12_1(X13),X31)
        | ~ epred1_1(X13) )
      & ( ~ p9(X32)
        | p8(X32)
        | ~ r1(esk11_1(X13),X32)
        | ~ epred1_1(X13) )
      & ( p9(X32)
        | ~ p8(X32)
        | ~ r1(esk11_1(X13),X32)
        | ~ epred1_1(X13) )
      & ( ~ p8(X33)
        | p7(X33)
        | ~ r1(esk10_1(X13),X33)
        | ~ epred1_1(X13) )
      & ( p8(X33)
        | ~ p7(X33)
        | ~ r1(esk10_1(X13),X33)
        | ~ epred1_1(X13) )
      & ( ~ p7(X34)
        | p6(X34)
        | ~ r1(esk9_1(X13),X34)
        | ~ epred1_1(X13) )
      & ( p7(X34)
        | ~ p6(X34)
        | ~ r1(esk9_1(X13),X34)
        | ~ epred1_1(X13) )
      & ( ~ p6(X35)
        | p5(X35)
        | ~ r1(esk8_1(X13),X35)
        | ~ epred1_1(X13) )
      & ( p6(X35)
        | ~ p5(X35)
        | ~ r1(esk8_1(X13),X35)
        | ~ epred1_1(X13) )
      & ( ~ p5(X36)
        | p4(X36)
        | ~ r1(esk7_1(X13),X36)
        | ~ epred1_1(X13) )
      & ( p5(X36)
        | ~ p4(X36)
        | ~ r1(esk7_1(X13),X36)
        | ~ epred1_1(X13) )
      & ( ~ p4(X37)
        | p3(X37)
        | ~ r1(esk6_1(X13),X37)
        | ~ epred1_1(X13) )
      & ( p4(X37)
        | ~ p3(X37)
        | ~ r1(esk6_1(X13),X37)
        | ~ epred1_1(X13) )
      & ( ~ p3(X38)
        | p2(X38)
        | ~ r1(esk5_1(X13),X38)
        | ~ epred1_1(X13) )
      & ( p3(X38)
        | ~ p2(X38)
        | ~ r1(esk5_1(X13),X38)
        | ~ epred1_1(X13) )
      & ( ~ p2(X39)
        | p1(X39)
        | ~ r1(X13,X39)
        | ~ epred1_1(X13) )
      & ( p2(X39)
        | ~ p1(X39)
        | ~ r1(X13,X39)
        | ~ epred1_1(X13) )
      & ( r1(X13,esk18_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p15(esk18_1(X13))
        | ~ epred1_1(X13) )
      & ( r1(X13,esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p13(esk19_1(X13))
        | p14(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p14(esk19_1(X13))
        | ~ p13(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p12(esk19_1(X13))
        | p13(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p13(esk19_1(X13))
        | ~ p12(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p11(esk19_1(X13))
        | p12(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p12(esk19_1(X13))
        | ~ p11(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p10(esk19_1(X13))
        | p11(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p11(esk19_1(X13))
        | ~ p10(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p9(esk19_1(X13))
        | p10(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p10(esk19_1(X13))
        | ~ p9(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p8(esk19_1(X13))
        | p9(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p9(esk19_1(X13))
        | ~ p8(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p7(esk19_1(X13))
        | p8(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p8(esk19_1(X13))
        | ~ p7(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p6(esk19_1(X13))
        | p7(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p7(esk19_1(X13))
        | ~ p6(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p5(esk19_1(X13))
        | p6(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p6(esk19_1(X13))
        | ~ p5(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p4(esk19_1(X13))
        | p5(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p5(esk19_1(X13))
        | ~ p4(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p3(esk19_1(X13))
        | p4(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p4(esk19_1(X13))
        | ~ p3(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p2(esk19_1(X13))
        | p3(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p3(esk19_1(X13))
        | ~ p2(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( p1(esk19_1(X13))
        | p2(esk19_1(X13))
        | ~ epred1_1(X13) )
      & ( ~ p2(esk19_1(X13))
        | ~ p1(esk19_1(X13))
        | ~ epred1_1(X13) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

fof(c_0_6,plain,
    ! [X9] : r1(X9,X9),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

fof(c_0_7,negated_conjecture,
    ! [X8] :
      ( r1(esk1_0,esk2_0)
      & p15(esk2_0)
      & r1(esk2_0,esk3_0)
      & p1(esk3_0)
      & r1(esk1_0,esk4_0)
      & ( ~ r1(esk4_0,X8)
        | epred1_1(X8) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

cnf(c_0_8,plain,
    ( p1(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( p2(X1)
    | ~ p1(X1)
    | ~ r1(X2,X1)
    | ~ epred1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ( r1(X1,esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,plain,
    ( p1(esk19_1(X1))
    | p2(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk4_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    ( ~ p2(esk19_1(X1))
    | ~ p1(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,plain,
    ( p1(X1)
    | ~ epred1_1(X1)
    | ~ p2(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_16,plain,
    ( p2(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    epred1_1(esk4_0),
    inference(spm,[status(thm)],[c_0_13,c_0_9]) ).

cnf(c_0_18,plain,
    ( ~ epred1_1(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    epred1_1(esk19_1(esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_17])]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n024.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Oct  2 12:51:57 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Q2pYks25ll/E---3.1_26401.p
% 0.15/0.42  # Version: 3.1pre001
% 0.15/0.42  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # new_bool_1 with pid 26480 completed with status 0
% 0.15/0.42  # Result found by new_bool_1
% 0.15/0.42  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGHNF-FFMS11-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42  # SAT001_MinMin_p005000_rr_RG with pid 26485 completed with status 0
% 0.15/0.42  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.42  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGHNF-FFMS11-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Theorem
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 3
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.42  # Initial clauses                      : 76
% 0.15/0.42  # Removed in clause preprocessing      : 0
% 0.15/0.42  # Initial clauses in saturation        : 76
% 0.15/0.42  # Processed clauses                    : 136
% 0.15/0.42  # ...of these trivial                  : 0
% 0.15/0.42  # ...subsumed                          : 0
% 0.15/0.42  # ...remaining for further processing  : 136
% 0.15/0.42  # Other redundant clauses eliminated   : 0
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 1
% 0.15/0.42  # Backward-rewritten                   : 0
% 0.15/0.42  # Generated clauses                    : 85
% 0.15/0.42  # ...of the previous two non-redundant : 72
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 2
% 0.15/0.42  # Paramodulations                      : 85
% 0.15/0.42  # Factorizations                       : 0
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 0
% 0.15/0.42  # Total rewrite steps                  : 8
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 59
% 0.15/0.42  #    Positive orientable unit clauses  : 10
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 0
% 0.15/0.42  #    Non-unit-clauses                  : 49
% 0.15/0.42  # Current number of unprocessed clauses: 88
% 0.15/0.42  # ...number of literals in the above   : 314
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 77
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 937
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 360
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 3
% 0.15/0.42  # Unit Clause-clause subsumption calls : 6
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 6
% 0.15/0.42  # BW rewrite match successes           : 0
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 6954
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.008 s
% 0.15/0.42  # System time              : 0.004 s
% 0.15/0.42  # Total time               : 0.011 s
% 0.15/0.42  # Maximum resident set size: 2080 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.009 s
% 0.15/0.42  # System time              : 0.006 s
% 0.15/0.42  # Total time               : 0.015 s
% 0.15/0.42  # Maximum resident set size: 1708 pages
% 0.15/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------