TSTP Solution File: SEV319^6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV319^6 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1YqhS4zhxm true

% Computer : n003.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 20:00:26 EDT 2023

% Result   : Theorem 83.21s 11.26s
% Output   : Refutation 83.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   55 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :  200 (   2 equ;   0 cnn)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  696 (  29   ~;  29   |;  30   &; 492   @)
%                                         (   0 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   9 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   5 usr;   3 con; 0-2 aty)
%                                         (  54  !!;   5  ??;   0 @@+;   0 @@-)
%            Number of variables   :  160 (  64   ^;  94   !;   2   ?; 160   :)

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

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

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

thf(cLQ_type,type,
    cLQ: a > a > $o ).

thf('#l_lift22044_type',type,
    '#l_lift22044': ( a > a ) > a > $o ).

thf('#sk17_type',type,
    '#sk17': ( a > $o ) > a > a ).

thf(cTHM145L1_pme,conjecture,
    ! [U: ( a > $o ) > a] :
      ( ( ! [Xs: a > $o] :
            ( ! [Xz: a] :
                ( ( Xs @ Xz )
               => ( cLQ @ Xz @ ( U @ Xs ) ) )
            & ! [Xj: a] :
                ( ! [Xk: a] :
                    ( ( Xs @ Xk )
                   => ( cLQ @ Xk @ Xj ) )
               => ( cLQ @ ( U @ Xs ) @ Xj ) ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( cLQ @ Xy @ Xz )
              & ( cLQ @ Xx @ Xy ) )
           => ( cLQ @ Xx @ Xz ) ) )
     => ! [Xf: a > a] :
          ( ! [Xx: a,Xy: a] :
              ( ( cLQ @ Xx @ Xy )
             => ( cLQ @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
         => ? [Xw: a] :
              ( ( cLQ @ Xw @ ( Xf @ Xw ) )
              & ( cLQ @ ( Xf @ Xw ) @ Xw ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: ( a > $o ) > a] :
        ( ( ! [Xs: a > $o] :
              ( ! [Xz: a] :
                  ( ( Xs @ Xz )
                 => ( cLQ @ Xz @ ( U @ Xs ) ) )
              & ! [Xj: a] :
                  ( ! [Xk: a] :
                      ( ( Xs @ Xk )
                     => ( cLQ @ Xk @ Xj ) )
                 => ( cLQ @ ( U @ Xs ) @ Xj ) ) )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( ( cLQ @ Xy @ Xz )
                & ( cLQ @ Xx @ Xy ) )
             => ( cLQ @ Xx @ Xz ) ) )
       => ! [Xf: a > a] :
            ( ! [Xx: a,Xy: a] :
                ( ( cLQ @ Xx @ Xy )
               => ( cLQ @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
           => ? [Xw: a] :
                ( ( cLQ @ Xw @ ( Xf @ Xw ) )
                & ( cLQ @ ( Xf @ Xw ) @ Xw ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM145L1_pme]) ).

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

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

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: a > a] :
          ( ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( cLQ @ Y1 @ Y2 )
                   => ( cLQ @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
         => ( ??
            @ ^ [Y1: a] :
                ( ( cLQ @ Y1 @ ( Y0 @ Y1 ) )
                & ( cLQ @ ( Y0 @ Y1 ) @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( cLQ @ Y0 @ Y1 )
               => ( cLQ @ ( '#sk2' @ Y0 ) @ ( '#sk2' @ Y1 ) ) ) ) )
     => ( ??
        @ ^ [Y0: a] :
            ( ( cLQ @ Y0 @ ( '#sk2' @ Y0 ) )
            & ( cLQ @ ( '#sk2' @ Y0 ) @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ~ ( ??
      @ ^ [Y0: a] :
          ( ( cLQ @ Y0 @ ( '#sk2' @ Y0 ) )
          & ( cLQ @ ( '#sk2' @ Y0 ) @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    ! [X2: a] :
      ~ ( ( cLQ @ X2 @ ( '#sk2' @ X2 ) )
        & ( cLQ @ ( '#sk2' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl20,plain,
    ! [X2: a] :
      ( ~ ( cLQ @ X2 @ ( '#sk2' @ X2 ) )
      | ~ ( cLQ @ ( '#sk2' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

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

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( !!
          @ ^ [Y1: a] :
              ( ( Y0 @ Y1 )
             => ( cLQ @ Y1 @ ( '#sk1' @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y1: a] :
              ( ( !!
                @ ^ [Y2: a] :
                    ( ( Y0 @ Y2 )
                   => ( cLQ @ Y2 @ Y1 ) ) )
             => ( cLQ @ ( '#sk1' @ Y0 ) @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ! [X2: a > $o] :
      ( ( !!
        @ ^ [Y0: a] :
            ( ( X2 @ Y0 )
           => ( cLQ @ Y0 @ ( '#sk1' @ X2 ) ) ) )
      & ( !!
        @ ^ [Y0: a] :
            ( ( !!
              @ ^ [Y1: a] :
                  ( ( X2 @ Y1 )
                 => ( cLQ @ Y1 @ Y0 ) ) )
           => ( cLQ @ ( '#sk1' @ X2 ) @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( X2 @ Y1 )
               => ( cLQ @ Y1 @ Y0 ) ) )
         => ( cLQ @ ( '#sk1' @ X2 ) @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl17,plain,
    ! [X2: a > $o,X4: a] :
      ( ( !!
        @ ^ [Y0: a] :
            ( ( X2 @ Y0 )
           => ( cLQ @ Y0 @ X4 ) ) )
     => ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl22,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( X2 @ Y0 )
             => ( cLQ @ Y0 @ X4 ) ) )
      | ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
         => ( cLQ @ ( '#sk17' @ X2 @ X4 ) @ X4 ) )
      | ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl27,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
      | ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( ( X2 @ Y0 )
         => ( cLQ @ Y0 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl16,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ X4 )
     => ( cLQ @ X4 @ ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl21,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( X2 @ X4 )
      | ( cLQ @ X4 @ ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl72,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk1' @ X1 ) ) ) )
      | ( cLQ @ ( '#sk1' @ X1 )
        @ ( '#sk1'
          @ ^ [Y0: a] :
              ( cLQ
              @ ( ^ [Y1: a] : Y1
                @ Y0 )
              @ ( ^ [Y1: a] : ( X0 @ Y1 )
                @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl21]) ).

thf(zip_derived_cl81,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk1' @ X1 ) ) ) )
      | ( cLQ @ ( '#sk1' @ X1 )
        @ ( '#sk1'
          @ ^ [Y0: a] : ( cLQ @ Y0 @ ( X0 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl81_001,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk1' @ X1 ) ) ) )
      | ( cLQ @ ( '#sk1' @ X1 )
        @ ( '#sk1'
          @ ^ [Y0: a] : ( cLQ @ Y0 @ ( X0 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl12164,plain,
    ! [X0: a > a,X2: a] :
      ( ( '#l_lift22044' @ X0 @ X2 )
      = ( cLQ @ X2 @ ( X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl12165,plain,
    ! [X0: a > a,X1: a > $o] :
      ( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk1' @ X1 ) ) ) )
      | ( cLQ @ ( '#sk1' @ X1 ) @ ( '#sk1' @ ( '#l_lift22044' @ X0 ) ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl81,zip_derived_cl12164]) ).

thf(zip_derived_cl28,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( cLQ @ ( '#sk17' @ X2 @ X4 ) @ X4 )
      | ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl27_002,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
      | ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( ( cLQ @ Y1 @ Y2 )
                  & ( cLQ @ Y0 @ Y1 ) )
               => ( cLQ @ Y0 @ Y2 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( cLQ @ Y0 @ Y1 )
                & ( cLQ @ X2 @ Y0 ) )
             => ( cLQ @ X2 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( ( cLQ @ X4 @ Y0 )
            & ( cLQ @ X2 @ X4 ) )
         => ( cLQ @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl18,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( ( cLQ @ X4 @ X6 )
        & ( cLQ @ X2 @ X4 ) )
     => ( cLQ @ X2 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl23,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( ( cLQ @ X4 @ X6 )
          & ( cLQ @ X2 @ X4 ) )
      | ( cLQ @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl26,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( cLQ @ X4 @ X6 )
      | ~ ( cLQ @ X2 @ X4 )
      | ( cLQ @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl54,plain,
    ! [X0: a,X1: a > $o,X2: a] :
      ( ( X1 @ ( '#sk17' @ X1 @ X0 ) )
      | ( cLQ @ X2 @ X0 )
      | ~ ( cLQ @ X2 @ ( '#sk1' @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl26]) ).

thf(zip_derived_cl21_003,plain,
    ! [X2: a > $o,X4: a] :
      ( ~ ( X2 @ X4 )
      | ( cLQ @ X4 @ ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl27_004,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
      | ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( cLQ @ Y0 @ Y1 )
           => ( cLQ @ ( '#sk2' @ Y0 ) @ ( '#sk2' @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( cLQ @ X2 @ Y0 )
         => ( cLQ @ ( '#sk2' @ X2 ) @ ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl19,plain,
    ! [X2: a,X4: a] :
      ( ( cLQ @ X2 @ X4 )
     => ( cLQ @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl24,plain,
    ! [X2: a,X4: a] :
      ( ~ ( cLQ @ X2 @ X4 )
      | ( cLQ @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl26_005,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( cLQ @ X4 @ X6 )
      | ~ ( cLQ @ X2 @ X4 )
      | ( cLQ @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl46,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ~ ( cLQ @ X1 @ X0 )
      | ( cLQ @ X2 @ ( '#sk2' @ X0 ) )
      | ~ ( cLQ @ X2 @ ( '#sk2' @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl26]) ).

thf(zip_derived_cl24_006,plain,
    ! [X2: a,X4: a] :
      ( ~ ( cLQ @ X2 @ X4 )
      | ( cLQ @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl12164_007,plain,
    ! [X0: a > a,X2: a] :
      ( ( '#l_lift22044' @ X0 @ X2 )
      = ( cLQ @ X2 @ ( X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl26_008,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( cLQ @ X4 @ X6 )
      | ~ ( cLQ @ X2 @ X4 )
      | ( cLQ @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl27_009,plain,
    ! [X2: a > $o,X4: a] :
      ( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
      | ( cLQ @ ( '#sk1' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl20_010,plain,
    ! [X2: a] :
      ( ~ ( cLQ @ X2 @ ( '#sk2' @ X2 ) )
      | ~ ( cLQ @ ( '#sk2' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl53,plain,
    ! [X0: a > $o] :
      ( ( X0 @ ( '#sk17' @ X0 @ ( '#sk2' @ ( '#sk1' @ X0 ) ) ) )
      | ~ ( cLQ @ ( '#sk2' @ ( '#sk1' @ X0 ) ) @ ( '#sk1' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl20]) ).

thf(zip_derived_cl12174,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl20,zip_derived_cl12165,zip_derived_cl28,zip_derived_cl54,zip_derived_cl21,zip_derived_cl27,zip_derived_cl46,zip_derived_cl24,zip_derived_cl12164,zip_derived_cl26,zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV319^6 : TPTP v8.1.2. Released v5.1.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1YqhS4zhxm true
% 0.14/0.35  % Computer : n003.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 04:06:52 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % 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
% 0.21/0.76  % /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.s.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/30_sp5.sh running for 60s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 83.21/11.26  % Solved by lams/20_acsne_simpl.sh.
% 83.21/11.26  % done 906 iterations in 10.443s
% 83.21/11.26  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 83.21/11.26  % SZS output start Refutation
% See solution above
% 83.21/11.26  
% 83.21/11.26  
% 83.21/11.26  % Terminating...
% 83.25/11.33  % Runner terminated.
% 83.25/11.33  % Zipperpin 1.5 exiting
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