TSTP Solution File: SEV021^6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV021^6 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F6KvKFZGej true

% Computer : n009.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 19:59:19 EDT 2023

% Result   : Theorem 63.81s 8.69s
% Output   : Refutation 63.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   55 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :  249 (  26 equ;   0 cnn)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  643 (  23   ~;  16   |; 128   &; 344   @)
%                                         (   9 <=>;  52  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   94 (  94   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   6 usr;   4 con; 0-2 aty)
%                                         (  48  !!;  23  ??;   0 @@+;   0 @@-)
%            Number of variables   :  190 (  85   ^;  91   !;  14   ?; 190   :)

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

thf('#sk34_type',type,
    '#sk34': ( a > $o ) > a ).

thf('#_fresh_sk3_type',type,
    '#_fresh_sk3': a > $o ).

thf(cQ_type,type,
    cQ: a > a > $o ).

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

thf('#_fresh_sk122_type',type,
    '#_fresh_sk122': a > a ).

thf(cP_type,type,
    cP: ( a > $o ) > $o ).

thf(cQ_def,axiom,
    ( cQ
    = ( ^ [X: a,Y: a] :
        ? [S: a > $o] :
          ( ( S @ Y )
          & ( S @ X )
          & ( cP @ S ) ) ) ) ).

thf('0',plain,
    ( cQ
    = ( ^ [X: a,Y: a] :
        ? [S: a > $o] :
          ( ( S @ Y )
          & ( S @ X )
          & ( cP @ S ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cQ_def]) ).

thf('1',plain,
    ( cQ
    = ( ^ [V_1: a,V_2: a] :
        ? [X4: a > $o] :
          ( ( X4 @ V_2 )
          & ( X4 @ V_1 )
          & ( cP @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(cTHM262_D_EXT2_pme,conjecture,
    ( ! [Xq1: a > $o,Xq2: a > $o] :
        ( ( ( Xq1 = Xq2 )
          & ( cP @ Xq1 ) )
       => ( cP @ Xq2 ) )
   => ( ( ! [Xp: a > $o] :
            ( ( cP @ Xp )
           => ? [Xz: a] : ( Xp @ Xz ) )
        & ! [Xx: a] :
          ? [Xp: a > $o] :
            ( ( Xp @ Xx )
            & ( cP @ Xp ) )
        & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
            ( ( ( cP @ Xp )
              & ( cP @ Xq )
              & ( Xp @ Xx )
              & ( Xq @ Xx )
              & ( Xp @ Xy ) )
           => ( Xq @ Xy ) ) )
     => ( ( ^ [Xs: a > $o] :
              ( ? [Xz: a] : ( Xs @ Xz )
              & ! [Xx: a] :
                  ( ( Xs @ Xx )
                 => ! [Xy: a] :
                      ( ( Xs @ Xy )
                    <=> ( cQ @ Xx @ Xy ) ) ) ) )
        = cP ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: a > $o,X6: a > $o] :
        ( ( ( cP @ X4 )
          & ( X4 = X6 ) )
       => ( cP @ X6 ) )
   => ( ( ! [X16: a,X18: a,X20: a > $o,X22: a > $o] :
            ( ( ( X20 @ X18 )
              & ( X22 @ X16 )
              & ( X20 @ X16 )
              & ( cP @ X22 )
              & ( cP @ X20 ) )
           => ( X22 @ X18 ) )
        & ! [X12: a] :
          ? [X14: a > $o] :
            ( ( cP @ X14 )
            & ( X14 @ X12 ) )
        & ! [X8: a > $o] :
            ( ( cP @ X8 )
           => ? [X10: a] : ( X8 @ X10 ) ) )
     => ( ( ^ [V_1: a > $o] :
              ( ! [X26: a] :
                  ( ( V_1 @ X26 )
                 => ! [X28: a] :
                      ( ( V_1 @ X28 )
                    <=> ? [X30: a > $o] :
                          ( ( cP @ X30 )
                          & ( X30 @ X26 )
                          & ( X30 @ X28 ) ) ) )
              & ? [X24: a] : ( V_1 @ X24 ) ) )
        = cP ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: a > $o,X6: a > $o] :
          ( ( ( cP @ X4 )
            & ( X4 = X6 ) )
         => ( cP @ X6 ) )
     => ( ( ! [X16: a,X18: a,X20: a > $o,X22: a > $o] :
              ( ( ( X20 @ X18 )
                & ( X22 @ X16 )
                & ( X20 @ X16 )
                & ( cP @ X22 )
                & ( cP @ X20 ) )
             => ( X22 @ X18 ) )
          & ! [X12: a] :
            ? [X14: a > $o] :
              ( ( cP @ X14 )
              & ( X14 @ X12 ) )
          & ! [X8: a > $o] :
              ( ( cP @ X8 )
             => ? [X10: a] : ( X8 @ X10 ) ) )
       => ( ( ^ [V_1: a > $o] :
                ( ! [X26: a] :
                    ( ( V_1 @ X26 )
                   => ! [X28: a] :
                        ( ( V_1 @ X28 )
                      <=> ? [X30: a > $o] :
                            ( ( cP @ X30 )
                            & ( X30 @ X26 )
                            & ( X30 @ X28 ) ) ) )
                & ? [X24: a] : ( V_1 @ X24 ) ) )
          = cP ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: a > $o] :
            ( !!
            @ ^ [Y1: a > $o] :
                ( ( ( cP @ Y0 )
                  & ( Y0 = Y1 ) )
               => ( cP @ Y1 ) ) ) )
     => ( ( ( !!
            @ ^ [Y0: a] :
                ( !!
                @ ^ [Y1: a] :
                    ( !!
                    @ ^ [Y2: a > $o] :
                        ( !!
                        @ ^ [Y3: a > $o] :
                            ( ( ( Y2 @ Y1 )
                              & ( Y3 @ Y0 )
                              & ( Y2 @ Y0 )
                              & ( cP @ Y3 )
                              & ( cP @ Y2 ) )
                           => ( Y3 @ Y1 ) ) ) ) ) )
          & ( !!
            @ ^ [Y0: a] :
                ( ??
                @ ^ [Y1: a > $o] :
                    ( ( cP @ Y1 )
                    & ( Y1 @ Y0 ) ) ) )
          & ( !!
            @ ^ [Y0: a > $o] :
                ( ( cP @ Y0 )
               => ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
       => ( ( ^ [Y0: a > $o] :
                ( ( !!
                  @ ^ [Y1: a] :
                      ( ( Y0 @ Y1 )
                     => ( !!
                        @ ^ [Y2: a] :
                            ( ( Y0 @ Y2 )
                          <=> ( ??
                              @ ^ [Y3: a > $o] :
                                  ( ( cP @ Y3 )
                                  & ( Y3 @ Y1 )
                                  & ( Y3 @ Y2 ) ) ) ) ) ) )
                & ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
          = cP ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( !!
        @ ^ [Y1: a > $o] :
            ( ( ( cP @ Y0 )
              & ( Y0 = Y1 ) )
           => ( cP @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( cP @ X2 )
            & ( X2 = Y0 ) )
         => ( cP @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: a] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( cP @ ( '#sk12' @ X0 ) )
            & ( ( '#sk12' @ X0 )
              = Y0 ) )
         => ( cP @ Y0 ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl90,plain,
    ! [X0: a,X2: a > $o] :
      ( ( ( cP @ ( '#sk12' @ X0 ) )
        & ( ( '#sk12' @ X0 )
          = X2 ) )
     => ( cP @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl92,plain,
    ! [X0: a] :
      ( ( ( cP @ ( '#sk12' @ X0 ) )
        & ( ( '#sk12' @ X0 )
          = '#_fresh_sk3' ) )
     => ( cP @ '#_fresh_sk3' ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a > $o] :
                      ( !!
                      @ ^ [Y3: a > $o] :
                          ( ( ( Y2 @ Y1 )
                            & ( Y3 @ Y0 )
                            & ( Y2 @ Y0 )
                            & ( cP @ Y3 )
                            & ( cP @ Y2 ) )
                         => ( Y3 @ Y1 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ??
              @ ^ [Y1: a > $o] :
                  ( ( cP @ Y1 )
                  & ( Y1 @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y0: a > $o] :
              ( ( cP @ Y0 )
             => ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
     => ( ( ^ [Y0: a > $o] :
              ( ( !!
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( !!
                      @ ^ [Y2: a] :
                          ( ( Y0 @ Y2 )
                        <=> ( ??
                            @ ^ [Y3: a > $o] :
                                ( ( cP @ Y3 )
                                & ( Y3 @ Y1 )
                                & ( Y3 @ Y2 ) ) ) ) ) ) )
              & ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
        = cP ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a > $o] :
                  ( !!
                  @ ^ [Y3: a > $o] :
                      ( ( ( Y2 @ Y1 )
                        & ( Y3 @ Y0 )
                        & ( Y2 @ Y0 )
                        & ( cP @ Y3 )
                        & ( cP @ Y2 ) )
                     => ( Y3 @ Y1 ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ??
          @ ^ [Y1: a > $o] :
              ( ( cP @ Y1 )
              & ( Y1 @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: a > $o] :
          ( ( cP @ Y0 )
         => ( ??
            @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ??
        @ ^ [Y1: a > $o] :
            ( ( cP @ Y1 )
            & ( Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    ! [X2: a] :
      ( ??
      @ ^ [Y0: a > $o] :
          ( ( cP @ Y0 )
          & ( Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl22,plain,
    ! [X2: a] :
      ( ( cP @ ( '#sk12' @ X2 ) )
      & ( '#sk12' @ X2 @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl28,plain,
    ! [X2: a] : ( cP @ ( '#sk12' @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl108,plain,
    ! [X0: a] :
      ( ( $true
        & ( ( '#sk12' @ X0 )
          = '#_fresh_sk3' ) )
     => ( cP @ '#_fresh_sk3' ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl28]) ).

thf(zip_derived_cl109,plain,
    ! [X0: a] :
      ( ( ( '#sk12' @ X0 )
        = '#_fresh_sk3' )
     => ( cP @ '#_fresh_sk3' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl108]) ).

thf(zip_derived_cl110,plain,
    ! [X0: a] :
      ( ( ( '#sk12' @ X0 )
       != '#_fresh_sk3' )
      | ( cP @ '#_fresh_sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl111,plain,
    ! [X0: a] :
      ( ( ( '#sk12' @ X0 )
       != '#_fresh_sk3' )
      | ( cP @ '#_fresh_sk3' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl110]) ).

thf(zip_derived_cl112,plain,
    ! [X0: a] :
      ( ( ( '#sk12' @ X0 @ ( '#_fresh_sk122' @ X0 ) )
       != ( '#_fresh_sk3' @ ( '#_fresh_sk122' @ X0 ) ) )
      | ( cP @ '#_fresh_sk3' ) ),
    inference(neg_ext_simpl,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl29,plain,
    ! [X2: a] : ( '#sk12' @ X2 @ X2 ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl28_001,plain,
    ! [X2: a] : ( cP @ ( '#sk12' @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( cP @ Y0 )
       => ( ??
          @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl16,plain,
    ! [X2: a > $o] :
      ( ( cP @ X2 )
     => ( ??
        @ ^ [Y0: a] : ( X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl23,plain,
    ! [X2: a > $o] :
      ( ~ ( cP @ X2 )
      | ( ??
        @ ^ [Y0: a] : ( X2 @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl30,plain,
    ! [X2: a > $o] :
      ( ( X2 @ ( '#sk34' @ X2 ) )
      | ~ ( cP @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a > $o] :
                ( !!
                @ ^ [Y3: a > $o] :
                    ( ( ( Y2 @ Y1 )
                      & ( Y3 @ Y0 )
                      & ( Y2 @ Y0 )
                      & ( cP @ Y3 )
                      & ( cP @ Y2 ) )
                   => ( Y3 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl14,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( !!
              @ ^ [Y2: a > $o] :
                  ( ( ( Y1 @ Y0 )
                    & ( Y2 @ X2 )
                    & ( Y1 @ X2 )
                    & ( cP @ Y2 )
                    & ( cP @ Y1 ) )
                 => ( Y2 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl18,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( ( Y0 @ X4 )
                & ( Y1 @ X2 )
                & ( Y0 @ X2 )
                & ( cP @ Y1 )
                & ( cP @ Y0 ) )
             => ( Y1 @ X4 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl26,plain,
    ! [X2: a,X4: a,X6: a > $o] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( X6 @ X4 )
            & ( Y0 @ X2 )
            & ( X6 @ X2 )
            & ( cP @ Y0 )
            & ( cP @ X6 ) )
         => ( Y0 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl31,plain,
    ! [X2: a,X4: a,X6: a > $o,X8: a > $o] :
      ( ( ( X6 @ X4 )
        & ( X8 @ X2 )
        & ( X6 @ X2 )
        & ( cP @ X8 )
        & ( cP @ X6 ) )
     => ( X8 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl32,plain,
    ! [X0: a,X1: a,X2: a > $o,X3: a] :
      ( ( ( X2 @ X1 )
        & ( '#sk12' @ X0 @ X3 )
        & ( X2 @ X3 )
        & ( cP @ ( '#sk12' @ X0 ) )
        & ( cP @ X2 ) )
     => ( '#sk12' @ X0 @ X1 ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl28_002,plain,
    ! [X2: a] : ( cP @ ( '#sk12' @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl133,plain,
    ! [X0: a,X1: a,X2: a > $o,X3: a] :
      ( ( ( X2 @ X1 )
        & ( '#sk12' @ X0 @ X3 )
        & ( X2 @ X3 )
        & $true
        & ( cP @ X2 ) )
     => ( '#sk12' @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl28]) ).

thf(zip_derived_cl134,plain,
    ! [X0: a,X1: a,X2: a > $o,X3: a] :
      ( ( ( cP @ X2 )
        & ( X2 @ X3 )
        & ( '#sk12' @ X0 @ X3 )
        & ( X2 @ X1 ) )
     => ( '#sk12' @ X0 @ X1 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl135,plain,
    ! [X0: a,X1: a,X2: a > $o,X3: a] :
      ( ~ ( ( cP @ X2 )
          & ( X2 @ X3 )
          & ( '#sk12' @ X0 @ X3 )
          & ( X2 @ X1 ) )
      | ( '#sk12' @ X0 @ X1 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl136,plain,
    ! [X0: a,X1: a,X2: a > $o,X3: a] :
      ( ~ ( cP @ X2 )
      | ~ ( X2 @ X3 )
      | ~ ( '#sk12' @ X0 @ X3 )
      | ~ ( X2 @ X1 )
      | ( '#sk12' @ X0 @ X1 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl5,plain,
    ( ( ^ [Y0: a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( !!
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                    <=> ( ??
                        @ ^ [Y3: a > $o] :
                            ( ( cP @ Y3 )
                            & ( Y3 @ Y1 )
                            & ( Y3 @ Y2 ) ) ) ) ) ) )
          & ( ??
            @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
   != cP ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl10,plain,
    ( ( ^ [Y0: a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( !!
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                    <=> ( ??
                        @ ^ [Y3: a > $o] :
                            ( ( cP @ Y3 )
                            & ( Y3 @ Y1 )
                            & ( Y3 @ Y2 ) ) ) ) ) ) )
          & ( ??
            @ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
   != cP ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    ( ( ^ [Y0: a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( Y0 @ Y1 )
               => ( !!
                  @ ^ [Y2: a] :
                      ( ( Y0 @ Y2 )
                    <=> ( ??
                        @ ^ [Y3: a > $o] :
                            ( ( cP @ Y3 )
                            & ( Y3 @ Y1 )
                            & ( Y3 @ Y2 ) ) ) ) ) ) )
          & ( ??
            @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
      @ '#_fresh_sk3' )
   != ( cP @ '#_fresh_sk3' ) ),
    inference(neg_ext_simpl,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ( ( ( !!
        @ ^ [Y0: a] :
            ( ( '#_fresh_sk3' @ Y0 )
           => ( !!
              @ ^ [Y1: a] :
                  ( ( '#_fresh_sk3' @ Y1 )
                <=> ( ??
                    @ ^ [Y2: a > $o] :
                        ( ( cP @ Y2 )
                        & ( Y2 @ Y0 )
                        & ( Y2 @ Y1 ) ) ) ) ) ) )
      & ( ??
        @ ^ [Y0: a] : ( '#_fresh_sk3' @ Y0 ) ) )
   != ( cP @ '#_fresh_sk3' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl31_003,plain,
    ! [X2: a,X4: a,X6: a > $o,X8: a > $o] :
      ( ( ( X6 @ X4 )
        & ( X8 @ X2 )
        & ( X6 @ X2 )
        & ( cP @ X8 )
        & ( cP @ X6 ) )
     => ( X8 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl33,plain,
    ! [X2: a,X4: a,X6: a > $o,X8: a > $o] :
      ( ~ ( ( X6 @ X4 )
          & ( X8 @ X2 )
          & ( X6 @ X2 )
          & ( cP @ X8 )
          & ( cP @ X6 ) )
      | ( X8 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl34,plain,
    ! [X2: a,X4: a,X6: a > $o,X8: a > $o] :
      ( ~ ( X6 @ X4 )
      | ~ ( X8 @ X2 )
      | ~ ( X6 @ X2 )
      | ~ ( cP @ X8 )
      | ~ ( cP @ X6 )
      | ( X8 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl5567,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl112,zip_derived_cl29,zip_derived_cl28,zip_derived_cl30,zip_derived_cl136,zip_derived_cl12,zip_derived_cl34]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem  : SEV021^6 : TPTP v8.1.2. Released v5.5.0.
% 0.07/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F6KvKFZGej true
% 0.09/0.30  % Computer : n009.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 : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Thu Aug 24 03:14:36 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Running portfolio for 300 s
% 0.09/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30  % Number of cores: 8
% 0.09/0.30  % Python version: Python 3.6.8
% 0.09/0.30  % Running in HO mode
% 0.15/0.58  % Total configuration time : 828
% 0.15/0.58  % Estimated wc time : 1656
% 0.15/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.15/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.15/0.66  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.15/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.15/0.66  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.15/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.15/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.15/0.67  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.09/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 63.81/8.69  % Solved by lams/20_acsne_simpl.sh.
% 63.81/8.69  % done 561 iterations in 7.948s
% 63.81/8.69  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 63.81/8.69  % SZS output start Refutation
% See solution above
% 63.81/8.69  
% 63.81/8.69  
% 63.81/8.69  % Terminating...
% 64.18/8.82  % Runner terminated.
% 64.18/8.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------