TSTP Solution File: SEV319^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV319^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qaC0IiHI5K true

% Computer : n006.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 20:00:25 EDT 2023

% Result   : Theorem 69.94s 9.66s
% Output   : Refutation 69.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   56 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :  193 (   2 equ;   0 cnn)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  762 (  30   ~;  29   |;  34   &; 533   @)
%                                         (   0 <=>;  64  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   9 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   64 (  64   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   5 usr;   3 con; 0-2 aty)
%                                         (  66  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :  175 (  77   ^;  96   !;   2   ?; 175   :)

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

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

thf('#l_lift21733_type',type,
    '#l_lift21733': ( a > a ) > a > $o ).

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

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

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

thf(cTHM145L_pme,conjecture,
    ! [L: a > a > $o,U: ( a > $o ) > a] :
      ( ( ! [Xs: a > $o] :
            ( ! [Xz: a] :
                ( ( Xs @ Xz )
               => ( L @ Xz @ ( U @ Xs ) ) )
            & ! [Xj: a] :
                ( ! [Xk: a] :
                    ( ( Xs @ Xk )
                   => ( L @ Xk @ Xj ) )
               => ( L @ ( U @ Xs ) @ Xj ) ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( L @ Xy @ Xz )
              & ( L @ Xx @ Xy ) )
           => ( L @ Xx @ Xz ) ) )
     => ! [Xf: a > a] :
          ( ! [Xx: a,Xy: a] :
              ( ( L @ Xx @ Xy )
             => ( L @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
         => ? [Xw: a] :
              ( ( L @ Xw @ ( Xf @ Xw ) )
              & ( L @ ( Xf @ Xw ) @ Xw ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: a > a > $o,U: ( a > $o ) > a] :
        ( ( ! [Xs: a > $o] :
              ( ! [Xz: a] :
                  ( ( Xs @ Xz )
                 => ( L @ Xz @ ( U @ Xs ) ) )
              & ! [Xj: a] :
                  ( ! [Xk: a] :
                      ( ( Xs @ Xk )
                     => ( L @ Xk @ Xj ) )
                 => ( L @ ( U @ Xs ) @ Xj ) ) )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( ( L @ Xy @ Xz )
                & ( L @ Xx @ Xy ) )
             => ( L @ Xx @ Xz ) ) )
       => ! [Xf: a > a] :
            ( ! [Xx: a,Xy: a] :
                ( ( L @ Xx @ Xy )
               => ( L @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
           => ? [Xw: a] :
                ( ( L @ Xw @ ( Xf @ Xw ) )
                & ( L @ ( Xf @ Xw ) @ Xw ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM145L_pme]) ).

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

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

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

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: a > a] :
          ( ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( '#sk1' @ Y1 @ Y2 )
                   => ( '#sk1' @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
         => ( ??
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y1 @ ( Y0 @ Y1 ) )
                & ( '#sk1' @ ( Y0 @ Y1 ) @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ ( '#sk3' @ Y0 ) @ ( '#sk3' @ Y1 ) ) ) ) )
     => ( ??
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 @ ( '#sk3' @ Y0 ) )
            & ( '#sk1' @ ( '#sk3' @ Y0 ) @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ~ ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 @ ( '#sk3' @ Y0 ) )
          & ( '#sk1' @ ( '#sk3' @ Y0 ) @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl16,plain,
    ! [X2: a] :
      ~ ( ( '#sk1' @ X2 @ ( '#sk3' @ X2 ) )
        & ( '#sk1' @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl21,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 @ ( '#sk3' @ X2 ) )
      | ~ ( '#sk1' @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).

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

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( !!
          @ ^ [Y1: a] :
              ( ( Y0 @ Y1 )
             => ( '#sk1' @ Y1 @ ( '#sk2' @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y1: a] :
              ( ( !!
                @ ^ [Y2: a] :
                    ( ( Y0 @ Y2 )
                   => ( '#sk1' @ Y2 @ Y1 ) ) )
             => ( '#sk1' @ ( '#sk2' @ Y0 ) @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a > $o] :
      ( ( !!
        @ ^ [Y0: a] :
            ( ( X2 @ Y0 )
           => ( '#sk1' @ Y0 @ ( '#sk2' @ X2 ) ) ) )
      & ( !!
        @ ^ [Y0: a] :
            ( ( !!
              @ ^ [Y1: a] :
                  ( ( X2 @ Y1 )
                 => ( '#sk1' @ Y1 @ Y0 ) ) )
           => ( '#sk1' @ ( '#sk2' @ X2 ) @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( X2 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) )
         => ( '#sk1' @ ( '#sk2' @ X2 ) @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl18,plain,
    ! [X2: a > $o,X4: a] :
      ( ( !!
        @ ^ [Y0: a] :
            ( ( X2 @ Y0 )
           => ( '#sk1' @ Y0 @ X4 ) ) )
     => ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl23,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( '#sk1' @ Y0 @ X4 ) ) )
      | ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl26,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( ( X2 @ ( '#sk18' @ X2 @ X4 ) )
         => ( '#sk1' @ ( '#sk18' @ X2 @ X4 ) @ X4 ) )
      | ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl28,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk18' @ X2 @ X4 ) )
      | ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

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

thf(zip_derived_cl17,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ X4 )
     => ( '#sk1' @ X4 @ ( '#sk2' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl22,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( X2 @ X4 )
      | ( '#sk1' @ X4 @ ( '#sk2' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl73,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk18' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
      | ( '#sk1' @ ( '#sk2' @ X1 )
        @ ( '#sk2'
          @ ^ [Y0: a] :
              ( '#sk1'
              @ ( ^ [Y1: a] : Y1
                @ Y0 )
              @ ( ^ [Y1: a] : ( X0 @ Y1 )
                @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl22]) ).

thf(zip_derived_cl82,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk18' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
      | ( '#sk1' @ ( '#sk2' @ X1 )
        @ ( '#sk2'
          @ ^ [Y0: a] : ( '#sk1' @ Y0 @ ( X0 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl82_001,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk18' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
      | ( '#sk1' @ ( '#sk2' @ X1 )
        @ ( '#sk2'
          @ ^ [Y0: a] : ( '#sk1' @ Y0 @ ( X0 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl11928,plain,
    ! [X0: a > a,X2: a] :
      ( ( '#l_lift21733' @ X0 @ X2 )
      = ( '#sk1' @ X2 @ ( X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl11929,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk18' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
      | ( '#sk1' @ ( '#sk2' @ X1 ) @ ( '#sk2' @ ( '#l_lift21733' @ X0 ) ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl82,zip_derived_cl11928]) ).

thf(zip_derived_cl29,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( '#sk1' @ ( '#sk18' @ X2 @ X4 ) @ X4 )
      | ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl28_002,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk18' @ X2 @ X4 ) )
      | ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( ( '#sk1' @ Y1 @ Y2 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk1' @ Y0 @ Y1 )
                & ( '#sk1' @ X2 @ Y0 ) )
             => ( '#sk1' @ X2 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( ( '#sk1' @ X4 @ Y0 )
            & ( '#sk1' @ X2 @ X4 ) )
         => ( '#sk1' @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl19,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( ( '#sk1' @ X4 @ X6 )
        & ( '#sk1' @ X2 @ X4 ) )
     => ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl24,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( ( '#sk1' @ X4 @ X6 )
          & ( '#sk1' @ X2 @ X4 ) )
      | ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl27,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( '#sk1' @ X4 @ X6 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl55,plain,
    ! [X0: a,X1: a > $o,X2: a] :
      ( ( X1 @ ( '#sk18' @ X1 @ X0 ) )
      | ( '#sk1' @ X2 @ X0 )
      | ~ ( '#sk1' @ X2 @ ( '#sk2' @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).

thf(zip_derived_cl28_003,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk18' @ X2 @ X4 ) )
      | ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl10,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( '#sk1' @ Y0 @ Y1 )
           => ( '#sk1' @ ( '#sk3' @ Y0 ) @ ( '#sk3' @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl15,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ X2 @ Y0 )
         => ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl20,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
     => ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl25,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl27_004,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( '#sk1' @ X4 @ X6 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl47,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ~ ( '#sk1' @ X1 @ X0 )
      | ( '#sk1' @ X2 @ ( '#sk3' @ X0 ) )
      | ~ ( '#sk1' @ X2 @ ( '#sk3' @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl27]) ).

thf(zip_derived_cl11928_005,plain,
    ! [X0: a > a,X2: a] :
      ( ( '#l_lift21733' @ X0 @ X2 )
      = ( '#sk1' @ X2 @ ( X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl28_006,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk18' @ X2 @ X4 ) )
      | ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl21_007,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 @ ( '#sk3' @ X2 ) )
      | ~ ( '#sk1' @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl54,plain,
    ! [X0: a > $o] :
      ( ( X0 @ ( '#sk18' @ X0 @ ( '#sk3' @ ( '#sk2' @ X0 ) ) ) )
      | ~ ( '#sk1' @ ( '#sk3' @ ( '#sk2' @ X0 ) ) @ ( '#sk2' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl21]) ).

thf(zip_derived_cl22_008,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( X2 @ X4 )
      | ( '#sk1' @ X4 @ ( '#sk2' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25_009,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl27_010,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( '#sk1' @ X4 @ X6 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl11938,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl21,zip_derived_cl11929,zip_derived_cl29,zip_derived_cl55,zip_derived_cl28,zip_derived_cl47,zip_derived_cl11928,zip_derived_cl54,zip_derived_cl22,zip_derived_cl25,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV319^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qaC0IiHI5K true
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 02:46:08 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 69.94/9.66  % Solved by lams/20_acsne_simpl.sh.
% 69.94/9.66  % done 884 iterations in 8.786s
% 69.94/9.66  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 69.94/9.66  % SZS output start Refutation
% See solution above
% 69.94/9.66  
% 69.94/9.66  
% 69.94/9.66  % Terminating...
% 69.94/9.71  % Runner terminated.
% 69.94/9.72  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------