TSTP Solution File: SEV137^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV137^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EH0WtoMgIG true

% 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 : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 19:59:44 EDT 2023

% Result   : Theorem 1.48s 0.83s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   56 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :  251 (   0 equ;   1 cnn)
%            Maximal formula atoms :   15 (   5 avg)
%            Number of connectives :  741 (  31   ~;  18   |;  55   &; 420   @)
%                                         (   0 <=>; 120  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   9 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   41 (  41   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   7 con; 0-2 aty)
%                                         (  97  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  132 (  97   ^;  35   !;   0   ?; 132   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf('#sk18_type',type,
    '#sk18': ( a > $o ) > a ).

thf('#sk2_type',type,
    '#sk2': a ).

thf('#sk1_type',type,
    '#sk1': a > a > $o ).

thf('#sk4_type',type,
    '#sk4': a ).

thf('#sk5_type',type,
    '#sk5': a > $o ).

thf('#sk12_type',type,
    '#sk12': ( a > $o ) > a ).

thf('#sk3_type',type,
    '#sk3': a ).

thf(cTHM204_pme,conjecture,
    ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
      ( ( ! [Xx0: a > $o] :
            ( ! [Xy0: a,Xz0: a] :
                ( ( ( Xx0 @ Xy0 )
                  & ( Xr @ Xy0 @ Xz0 ) )
               => ( Xx0 @ Xz0 ) )
           => ( ( Xx0 @ Xy )
             => ( Xx0 @ Xz ) ) )
        & ! [Xx0: a > $o] :
            ( ! [Xy0: a,Xz0: a] :
                ( ( ( Xx0 @ Xy0 )
                  & ( Xr @ Xy0 @ Xz0 ) )
               => ( Xx0 @ Xz0 ) )
           => ( ( Xx0 @ Xx )
             => ( Xx0 @ Xy ) ) ) )
     => ! [Xx0: a > $o] :
          ( ! [Xy0: a,Xz0: a] :
              ( ( ( Xx0 @ Xy0 )
                & ( Xr @ Xy0 @ Xz0 ) )
             => ( Xx0 @ Xz0 ) )
         => ( ( Xx0 @ Xx )
           => ( Xx0 @ Xz ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
        ( ( ! [Xx0: a > $o] :
              ( ! [Xy0: a,Xz0: a] :
                  ( ( ( Xx0 @ Xy0 )
                    & ( Xr @ Xy0 @ Xz0 ) )
                 => ( Xx0 @ Xz0 ) )
             => ( ( Xx0 @ Xy )
               => ( Xx0 @ Xz ) ) )
          & ! [Xx0: a > $o] :
              ( ! [Xy0: a,Xz0: a] :
                  ( ( ( Xx0 @ Xy0 )
                    & ( Xr @ Xy0 @ Xz0 ) )
                 => ( Xx0 @ Xz0 ) )
             => ( ( Xx0 @ Xx )
               => ( Xx0 @ Xy ) ) ) )
       => ! [Xx0: a > $o] :
            ( ! [Xy0: a,Xz0: a] :
                ( ( ( Xx0 @ Xy0 )
                  & ( Xr @ Xy0 @ Xz0 ) )
               => ( Xx0 @ Xz0 ) )
           => ( ( Xx0 @ Xx )
             => ( Xx0 @ Xz ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM204_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > a > $o] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( !!
                  @ ^ [Y3: a] :
                      ( ( ( !!
                          @ ^ [Y4: a > $o] :
                              ( ( !!
                                @ ^ [Y5: a] :
                                    ( !!
                                    @ ^ [Y6: a] :
                                        ( ( ( Y4 @ Y5 )
                                          & ( Y0 @ Y5 @ Y6 ) )
                                       => ( Y4 @ Y6 ) ) ) )
                             => ( ( Y4 @ Y2 )
                               => ( Y4 @ Y3 ) ) ) )
                        & ( !!
                          @ ^ [Y4: a > $o] :
                              ( ( !!
                                @ ^ [Y5: a] :
                                    ( !!
                                    @ ^ [Y6: a] :
                                        ( ( ( Y4 @ Y5 )
                                          & ( Y0 @ Y5 @ Y6 ) )
                                       => ( Y4 @ Y6 ) ) ) )
                             => ( ( Y4 @ Y1 )
                               => ( Y4 @ Y2 ) ) ) ) )
                     => ( !!
                        @ ^ [Y4: a > $o] :
                            ( ( !!
                              @ ^ [Y5: a] :
                                  ( !!
                                  @ ^ [Y6: a] :
                                      ( ( ( Y4 @ Y5 )
                                        & ( Y0 @ Y5 @ Y6 ) )
                                     => ( Y4 @ Y6 ) ) ) )
                           => ( ( Y4 @ Y1 )
                             => ( Y4 @ Y3 ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( !!
                      @ ^ [Y3: a > $o] :
                          ( ( !!
                            @ ^ [Y4: a] :
                                ( !!
                                @ ^ [Y5: a] :
                                    ( ( ( Y3 @ Y4 )
                                      & ( '#sk1' @ Y4 @ Y5 ) )
                                   => ( Y3 @ Y5 ) ) ) )
                         => ( ( Y3 @ Y1 )
                           => ( Y3 @ Y2 ) ) ) )
                    & ( !!
                      @ ^ [Y3: a > $o] :
                          ( ( !!
                            @ ^ [Y4: a] :
                                ( !!
                                @ ^ [Y5: a] :
                                    ( ( ( Y3 @ Y4 )
                                      & ( '#sk1' @ Y4 @ Y5 ) )
                                   => ( Y3 @ Y5 ) ) ) )
                         => ( ( Y3 @ Y0 )
                           => ( Y3 @ Y1 ) ) ) ) )
                 => ( !!
                    @ ^ [Y3: a > $o] :
                        ( ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( ( Y3 @ Y4 )
                                    & ( '#sk1' @ Y4 @ Y5 ) )
                                 => ( Y3 @ Y5 ) ) ) )
                       => ( ( Y3 @ Y0 )
                         => ( Y3 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( !!
                  @ ^ [Y2: a > $o] :
                      ( ( !!
                        @ ^ [Y3: a] :
                            ( !!
                            @ ^ [Y4: a] :
                                ( ( ( Y2 @ Y3 )
                                  & ( '#sk1' @ Y3 @ Y4 ) )
                               => ( Y2 @ Y4 ) ) ) )
                     => ( ( Y2 @ Y0 )
                       => ( Y2 @ Y1 ) ) ) )
                & ( !!
                  @ ^ [Y2: a > $o] :
                      ( ( !!
                        @ ^ [Y3: a] :
                            ( !!
                            @ ^ [Y4: a] :
                                ( ( ( Y2 @ Y3 )
                                  & ( '#sk1' @ Y3 @ Y4 ) )
                               => ( Y2 @ Y4 ) ) ) )
                     => ( ( Y2 @ '#sk2' )
                       => ( Y2 @ Y0 ) ) ) ) )
             => ( !!
                @ ^ [Y2: a > $o] :
                    ( ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( ( Y2 @ Y3 )
                                & ( '#sk1' @ Y3 @ Y4 ) )
                             => ( Y2 @ Y4 ) ) ) )
                   => ( ( Y2 @ '#sk2' )
                     => ( Y2 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( ( !!
              @ ^ [Y1: a > $o] :
                  ( ( !!
                    @ ^ [Y2: a] :
                        ( !!
                        @ ^ [Y3: a] :
                            ( ( ( Y1 @ Y2 )
                              & ( '#sk1' @ Y2 @ Y3 ) )
                           => ( Y1 @ Y3 ) ) ) )
                 => ( ( Y1 @ '#sk3' )
                   => ( Y1 @ Y0 ) ) ) )
            & ( !!
              @ ^ [Y1: a > $o] :
                  ( ( !!
                    @ ^ [Y2: a] :
                        ( !!
                        @ ^ [Y3: a] :
                            ( ( ( Y1 @ Y2 )
                              & ( '#sk1' @ Y2 @ Y3 ) )
                           => ( Y1 @ Y3 ) ) ) )
                 => ( ( Y1 @ '#sk2' )
                   => ( Y1 @ '#sk3' ) ) ) ) )
         => ( !!
            @ ^ [Y1: a > $o] :
                ( ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( ( Y1 @ Y2 )
                            & ( '#sk1' @ Y2 @ Y3 ) )
                         => ( Y1 @ Y3 ) ) ) )
               => ( ( Y1 @ '#sk2' )
                 => ( Y1 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( ( !!
                @ ^ [Y1: a] :
                    ( !!
                    @ ^ [Y2: a] :
                        ( ( ( Y0 @ Y1 )
                          & ( '#sk1' @ Y1 @ Y2 ) )
                       => ( Y0 @ Y2 ) ) ) )
             => ( ( Y0 @ '#sk3' )
               => ( Y0 @ '#sk4' ) ) ) )
        & ( !!
          @ ^ [Y0: a > $o] :
              ( ( !!
                @ ^ [Y1: a] :
                    ( !!
                    @ ^ [Y2: a] :
                        ( ( ( Y0 @ Y1 )
                          & ( '#sk1' @ Y1 @ Y2 ) )
                       => ( Y0 @ Y2 ) ) ) )
             => ( ( Y0 @ '#sk2' )
               => ( Y0 @ '#sk3' ) ) ) ) )
     => ( !!
        @ ^ [Y0: a > $o] :
            ( ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( Y0 @ Y1 )
                        & ( '#sk1' @ Y1 @ Y2 ) )
                     => ( Y0 @ Y2 ) ) ) )
           => ( ( Y0 @ '#sk2' )
             => ( Y0 @ '#sk4' ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( !!
      @ ^ [Y0: a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( ( Y0 @ Y1 )
                      & ( '#sk1' @ Y1 @ Y2 ) )
                   => ( Y0 @ Y2 ) ) ) )
         => ( ( Y0 @ '#sk3' )
           => ( Y0 @ '#sk4' ) ) ) )
    & ( !!
      @ ^ [Y0: a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( ( Y0 @ Y1 )
                      & ( '#sk1' @ Y1 @ Y2 ) )
                   => ( Y0 @ Y2 ) ) ) )
         => ( ( Y0 @ '#sk2' )
           => ( Y0 @ '#sk3' ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( Y0 @ Y1 )
                    & ( '#sk1' @ Y1 @ Y2 ) )
                 => ( Y0 @ Y2 ) ) ) )
       => ( ( Y0 @ '#sk2' )
         => ( Y0 @ '#sk3' ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a > $o] :
      ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( X2 @ Y0 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( X2 @ Y1 ) ) ) )
     => ( ( X2 @ '#sk2' )
       => ( X2 @ '#sk3' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk5' @ Y0 )
                & ( '#sk1' @ Y0 @ Y1 ) )
             => ( '#sk5' @ Y1 ) ) ) )
   => ( ( '#sk5' @ '#sk2' )
     => ( '#sk5' @ '#sk3' ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl6,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( ( Y0 @ Y1 )
                      & ( '#sk1' @ Y1 @ Y2 ) )
                   => ( Y0 @ Y2 ) ) ) )
         => ( ( Y0 @ '#sk2' )
           => ( Y0 @ '#sk4' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( '#sk5' @ Y0 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( '#sk5' @ Y1 ) ) ) )
     => ( ( '#sk5' @ '#sk2' )
       => ( '#sk5' @ '#sk4' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    ~ ( ( '#sk5' @ '#sk2' )
     => ( '#sk5' @ '#sk4' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl19,plain,
    '#sk5' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl51,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk5' @ Y0 )
                & ( '#sk1' @ Y0 @ Y1 ) )
             => ( '#sk5' @ Y1 ) ) ) )
   => ( $true
     => ( '#sk5' @ '#sk3' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl19]) ).

thf(zip_derived_cl52,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk5' @ Y0 )
                & ( '#sk1' @ Y0 @ Y1 ) )
             => ( '#sk5' @ Y1 ) ) ) )
   => ( '#sk5' @ '#sk3' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl53,plain,
    ( ~ ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( '#sk5' @ Y0 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( '#sk5' @ Y1 ) ) ) )
    | ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( !!
        @ ^ [Y0: a] :
            ( ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
              & ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ Y0 ) )
           => ( '#sk5' @ Y0 ) ) )
    | ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl55,plain,
    ( ~ ( ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
          & ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ ( '#sk18' @ '#sk5' ) ) )
       => ( '#sk5' @ ( '#sk18' @ '#sk5' ) ) )
    | ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl57,plain,
    ( ~ ( '#sk5' @ ( '#sk18' @ '#sk5' ) )
    | ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( Y0 @ Y1 )
                    & ( '#sk1' @ Y1 @ Y2 ) )
                 => ( Y0 @ Y2 ) ) ) )
       => ( ( Y0 @ '#sk3' )
         => ( Y0 @ '#sk4' ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ! [X2: a > $o] :
      ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( X2 @ Y0 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( X2 @ Y1 ) ) ) )
     => ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk5' @ Y0 )
                & ( '#sk1' @ Y0 @ Y1 ) )
             => ( '#sk5' @ Y1 ) ) ) )
   => ( ( '#sk5' @ '#sk3' )
     => ( '#sk5' @ '#sk4' ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl20,plain,
    ~ ( '#sk5' @ '#sk4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl42,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk5' @ Y0 )
                & ( '#sk1' @ Y0 @ Y1 ) )
             => ( '#sk5' @ Y1 ) ) ) )
   => ( ( '#sk5' @ '#sk3' )
     => $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl20]) ).

thf(zip_derived_cl43,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk5' @ Y0 )
                & ( '#sk1' @ Y0 @ Y1 ) )
             => ( '#sk5' @ Y1 ) ) ) )
   => ( (~) @ ( '#sk5' @ '#sk3' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( '#sk5' @ Y0 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( '#sk5' @ Y1 ) ) ) )
    | ~ ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( !!
        @ ^ [Y0: a] :
            ( ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
              & ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ Y0 ) )
           => ( '#sk5' @ Y0 ) ) )
    | ~ ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
          & ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ ( '#sk18' @ '#sk5' ) ) )
       => ( '#sk5' @ ( '#sk18' @ '#sk5' ) ) )
    | ~ ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( '#sk5' @ ( '#sk18' @ '#sk5' ) )
    | ~ ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl60,plain,
    ~ ( '#sk5' @ ( '#sk18' @ '#sk5' ) ),
    inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl48]) ).

thf(zip_derived_cl14,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( ( '#sk5' @ Y0 )
              & ( '#sk1' @ Y0 @ Y1 ) )
           => ( '#sk5' @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl18,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( ( '#sk5' @ X2 )
            & ( '#sk1' @ X2 @ Y0 ) )
         => ( '#sk5' @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl23,plain,
    ! [X2: a,X4: a] :
      ( ( ( '#sk5' @ X2 )
        & ( '#sk1' @ X2 @ X4 ) )
     => ( '#sk5' @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl26,plain,
    ! [X2: a,X4: a] :
      ( ~ ( ( '#sk5' @ X2 )
          & ( '#sk1' @ X2 @ X4 ) )
      | ( '#sk5' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl31,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk5' @ X2 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk5' @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl56,plain,
    ( ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
      & ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ ( '#sk18' @ '#sk5' ) ) )
    | ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl59,plain,
    ( ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ ( '#sk18' @ '#sk5' ) )
    | ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl47,plain,
    ( ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
      & ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ ( '#sk18' @ '#sk5' ) ) )
    | ~ ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl50,plain,
    ( ( '#sk1' @ ( '#sk12' @ '#sk5' ) @ ( '#sk18' @ '#sk5' ) )
    | ~ ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl62,plain,
    '#sk1' @ ( '#sk12' @ '#sk5' ) @ ( '#sk18' @ '#sk5' ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl50]) ).

thf(zip_derived_cl64,plain,
    ( ( '#sk5' @ ( '#sk18' @ '#sk5' ) )
    | ~ ( '#sk5' @ ( '#sk12' @ '#sk5' ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl62]) ).

thf(zip_derived_cl58,plain,
    ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
    | ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl49,plain,
    ( ( '#sk5' @ ( '#sk12' @ '#sk5' ) )
    | ~ ( '#sk5' @ '#sk3' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl61,plain,
    '#sk5' @ ( '#sk12' @ '#sk5' ),
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl49]) ).

thf(zip_derived_cl67,plain,
    '#sk5' @ ( '#sk18' @ '#sk5' ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl61]) ).

thf(zip_derived_cl71,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEV137^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EH0WtoMgIG true
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 03:50:39 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.48/0.83  % Solved by lams/20_acsne_simpl.sh.
% 1.48/0.83  % done 6 iterations in 0.030s
% 1.48/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/0.83  % SZS output start Refutation
% See solution above
% 1.48/0.83  
% 1.48/0.83  
% 1.48/0.83  % Terminating...
% 1.65/0.87  % Runner terminated.
% 1.65/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------