TSTP Solution File: SYO224^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO224^5 : 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.3jyabAJt7R true

% Computer : n018.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 : Fri Sep  1 05:50:21 EDT 2023

% Result   : Theorem 1.63s 0.91s
% Output   : Refutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   85 (  15 unt;   9 typ;   0 def)
%            Number of atoms       :  320 (  35 equ;   0 cnn)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  685 (  79   ~;  86   |; 105   &; 354   @)
%                                         (  12 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   9 usr;   8 con; 0-2 aty)
%                                         (   8  !!;  24  ??;   0 @@+;   0 @@-)
%            Number of variables   :   74 (  39   ^;  31   !;   4   ?;  74   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $i ).

thf(cUNIQUE_type,type,
    cUNIQUE: $i > $o ).

thf(cJ_type,type,
    cJ: $i ).

thf(cWRH_type,type,
    cWRH: $i > $o ).

thf(cP_type,type,
    cP: $i ).

thf(cS_type,type,
    cS: $i ).

thf(cW_type,type,
    cW: $i > $o ).

thf(cLIKE_type,type,
    cLIKE: $i > $i > $o ).

thf('#form1_type',type,
    '#form1': $o ).

thf(cLING1,conjecture,
    ( ( ( cWRH @ cS )
      & ( cW @ cS )
      & ( cUNIQUE @ cS )
      & ! [X: $i] :
          ( ( cUNIQUE @ X )
         => ! [Z: $i] :
              ( ( ( cW @ Z )
                & ( cWRH @ Z ) )
             => ( X = Z ) ) ) )
   => ? [Xan: $i > $o] :
        ( ( ( Xan @ cP )
        <=> ( cLIKE @ cP @ cS ) )
        & ( ( Xan @ cJ )
        <=> ? [X: $i] :
              ( ( cUNIQUE @ X )
              & ( cW @ X )
              & ( cWRH @ X )
              & ( cLIKE @ cJ @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cWRH @ cS )
        & ( cW @ cS )
        & ( cUNIQUE @ cS )
        & ! [X: $i] :
            ( ( cUNIQUE @ X )
           => ! [Z: $i] :
                ( ( ( cW @ Z )
                  & ( cWRH @ Z ) )
               => ( X = Z ) ) ) )
     => ? [Xan: $i > $o] :
          ( ( ( Xan @ cP )
          <=> ( cLIKE @ cP @ cS ) )
          & ( ( Xan @ cJ )
          <=> ? [X: $i] :
                ( ( cUNIQUE @ X )
                & ( cW @ X )
                & ( cWRH @ X )
                & ( cLIKE @ cJ @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cLING1]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( cWRH @ cS )
        & ( cW @ cS )
        & ( cUNIQUE @ cS )
        & ( !!
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
             => ( !!
                @ ^ [Y1: $i] :
                    ( ( ( cW @ Y1 )
                      & ( cWRH @ Y1 ) )
                   => ( Y0 = Y1 ) ) ) ) ) )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( ( ( Y0 @ cP )
            <=> ( cLIKE @ cP @ cS ) )
            & ( ( Y0 @ cJ )
            <=> ( ??
                @ ^ [Y1: $i] :
                    ( ( cUNIQUE @ Y1 )
                    & ( cW @ Y1 )
                    & ( cWRH @ Y1 )
                    & ( cLIKE @ cJ @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ( ( Y0 @ cP )
          <=> ( cLIKE @ cP @ cS ) )
          & ( ( Y0 @ cJ )
          <=> ( ??
              @ ^ [Y1: $i] :
                  ( ( cUNIQUE @ Y1 )
                  & ( cW @ Y1 )
                  & ( cWRH @ Y1 )
                  & ( cLIKE @ cJ @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i > $o] :
      ~ ( ( ( X2 @ cP )
        <=> ( cLIKE @ cP @ cS ) )
        & ( ( X2 @ cJ )
        <=> ( ??
            @ ^ [Y0: $i] :
                ( ( cUNIQUE @ Y0 )
                & ( cW @ Y0 )
                & ( cWRH @ Y0 )
                & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i > $o] :
      ( ~ ( ( X2 @ cP )
        <=> ( cLIKE @ cP @ cS ) )
      | ~ ( ( X2 @ cJ )
        <=> ( ??
            @ ^ [Y0: $i] :
                ( ( cUNIQUE @ Y0 )
                & ( cW @ Y0 )
                & ( cWRH @ Y0 )
                & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ cP )
       != ( cLIKE @ cP @ cS ) )
      | ( ( X2 @ cJ )
       != ( ??
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
              & ( cW @ Y0 )
              & ( cWRH @ Y0 )
              & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i > $o] :
      ( ~ ( X2 @ cP )
      | ~ ( cLIKE @ cP @ cS )
      | ( ( X2 @ cJ )
       != ( ??
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
              & ( cW @ Y0 )
              & ( cWRH @ Y0 )
              & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl44,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ cJ )
      | ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) )
      | ~ ( cLIKE @ cP @ cS )
      | ~ ( X2 @ cP ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl56,plain,
    ( ~ '#form1'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( cUNIQUE @ Y0 )
          & ( cW @ Y0 )
          & ( cWRH @ Y0 )
          & ( cLIKE @ cJ @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl57,plain,
    ( ( ( cUNIQUE @ '#sk2' )
      & ( cW @ '#sk2' )
      & ( cWRH @ '#sk2' )
      & ( cLIKE @ cJ @ '#sk2' ) )
    | ~ '#form1' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl62,plain,
    ( ( cLIKE @ cJ @ '#sk2' )
    | ~ '#form1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl11_001,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ cP )
       != ( cLIKE @ cP @ cS ) )
      | ( ( X2 @ cJ )
       != ( ??
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
              & ( cW @ Y0 )
              & ( cWRH @ Y0 )
              & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ cP )
      | ( cLIKE @ cP @ cS )
      | ( ( X2 @ cJ )
       != ( ??
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
              & ( cW @ Y0 )
              & ( cWRH @ Y0 )
              & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl34_002,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ cP )
      | ( cLIKE @ cP @ cS )
      | ( ( X2 @ cJ )
       != ( ??
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
              & ( cW @ Y0 )
              & ( cWRH @ Y0 )
              & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl111,plain,
    ( '#form1'
    | ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl56_003,plain,
    ( ~ '#form1'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( cUNIQUE @ Y0 )
          & ( cW @ Y0 )
          & ( cWRH @ Y0 )
          & ( cLIKE @ cJ @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl113,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ cJ )
       != '#form1' )
      | ( cLIKE @ cP @ cS )
      | ( X2 @ cP ) ),
    inference(renaming,[status(thm)],[zip_derived_cl34,zip_derived_cl111,zip_derived_cl56]) ).

thf(zip_derived_cl114,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ cJ )
       != '#form1' )
      | ( cLIKE @ cP @ cS )
      | ( X2 @ cP ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl122,plain,
    ( ~ '#form1'
    | ~ '#form1'
    | ( ^ [Y0: $i] :
          ( cLIKE
          @ ( ^ [Y1: $i] : Y1
            @ Y0 )
          @ ( ^ [Y1: $i] : '#sk2'
            @ Y0 ) )
      @ cP )
    | ( cLIKE @ cP @ cS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl114]) ).

thf(zip_derived_cl139,plain,
    ( ~ '#form1'
    | ~ '#form1'
    | ( cLIKE @ cP @ '#sk2' )
    | ( cLIKE @ cP @ cS ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl122]) ).

thf(zip_derived_cl140,plain,
    ( ( cLIKE @ cP @ cS )
    | ( cLIKE @ cP @ '#sk2' )
    | ~ '#form1' ),
    inference(simplify,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl60,plain,
    ( ( cW @ '#sk2' )
    | ~ '#form1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl1,plain,
    ( ( cWRH @ cS )
    & ( cW @ cS )
    & ( cUNIQUE @ cS )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( cUNIQUE @ Y0 )
         => ( !!
            @ ^ [Y1: $i] :
                ( ( ( cW @ Y1 )
                  & ( cWRH @ Y1 ) )
               => ( Y0 = Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cUNIQUE @ Y0 )
       => ( !!
          @ ^ [Y1: $i] :
              ( ( ( cW @ Y1 )
                & ( cWRH @ Y1 ) )
             => ( Y0 = Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ( cUNIQUE @ X2 )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( ( cW @ Y0 )
              & ( cWRH @ Y0 ) )
           => ( X2 = Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( cUNIQUE @ X2 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( ( cW @ Y0 )
              & ( cWRH @ Y0 ) )
           => ( X2 = Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( ( cW @ X4 )
          & ( cWRH @ X4 ) )
       => ( X2 = X4 ) )
      | ~ ( cUNIQUE @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( cW @ X4 )
          & ( cWRH @ X4 ) )
      | ( X2 = X4 )
      | ~ ( cUNIQUE @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( cW @ X4 )
          & ( cWRH @ X4 ) )
      | ( X2 = X4 )
      | ~ ( cUNIQUE @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( cW @ X4 )
      | ~ ( cWRH @ X4 )
      | ~ ( cUNIQUE @ X2 )
      | ( X2 = X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl5,plain,
    cUNIQUE @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( cS = X0 )
      | ~ ( cWRH @ X0 )
      | ~ ( cW @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).

thf(zip_derived_cl72,plain,
    ( ~ '#form1'
    | ~ ( cWRH @ '#sk2' )
    | ( cS = '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl19]) ).

thf(zip_derived_cl61,plain,
    ( ( cWRH @ '#sk2' )
    | ~ '#form1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl84,plain,
    ( ( cS = '#sk2' )
    | ~ '#form1' ),
    inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl61]) ).

thf(zip_derived_cl114_004,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ cJ )
       != '#form1' )
      | ( cLIKE @ cP @ cS )
      | ( X2 @ cP ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl126,plain,
    ( ( ^ [Y0: $i] : '#form1'
      @ cP )
    | ( cLIKE @ cP @ cS ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl127,plain,
    ( '#form1'
    | ( cLIKE @ cP @ cS ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl44_005,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ cJ )
      | ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) )
      | ~ ( cLIKE @ cP @ cS )
      | ~ ( X2 @ cP ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl56_006,plain,
    ( ~ '#form1'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( cUNIQUE @ Y0 )
          & ( cW @ Y0 )
          & ( cWRH @ Y0 )
          & ( cLIKE @ cJ @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl58,plain,
    ! [X2: $i > $o] :
      ( '#form1'
      | ~ ( X2 @ cP )
      | ~ ( cLIKE @ cP @ cS )
      | ( X2 @ cJ ) ),
    inference(renaming,[status(thm)],[zip_derived_cl44,zip_derived_cl56]) ).

thf(zip_derived_cl63,plain,
    ( ~ ( cLIKE @ cP @ cS )
    | '#form1'
    | ( ^ [Y0: $i] : ( Y0 = cP )
      @ cJ ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl64,plain,
    ( ~ ( cLIKE @ cP @ cS )
    | '#form1'
    | ( cJ = cP ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl65,plain,
    ( ~ ( cLIKE @ cP @ cS )
    | '#form1'
    | ( cJ = cP ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl143,plain,
    ( '#form1'
    | ( cJ = cP )
    | '#form1' ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl65]) ).

thf(zip_derived_cl154,plain,
    ( ( cJ = cP )
    | '#form1' ),
    inference(simplify,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl127_007,plain,
    ( '#form1'
    | ( cLIKE @ cP @ cS ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl162,plain,
    ( ( cLIKE @ cJ @ cS )
    | '#form1'
    | '#form1' ),
    inference('sup+',[status(thm)],[zip_derived_cl154,zip_derived_cl127]) ).

thf(zip_derived_cl166,plain,
    ( '#form1'
    | ( cLIKE @ cJ @ cS ) ),
    inference(simplify,[status(thm)],[zip_derived_cl162]) ).

thf(zip_derived_cl5_008,plain,
    cUNIQUE @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl111_009,plain,
    ( '#form1'
    | ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl112,plain,
    ! [X2: $i] :
      ( ~ ( ( cUNIQUE @ X2 )
          & ( cW @ X2 )
          & ( cWRH @ X2 )
          & ( cLIKE @ cJ @ X2 ) )
      | '#form1' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl115,plain,
    ! [X2: $i] :
      ( ~ ( cUNIQUE @ X2 )
      | ~ ( cW @ X2 )
      | ~ ( cWRH @ X2 )
      | ~ ( cLIKE @ cJ @ X2 )
      | '#form1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl178,plain,
    ( '#form1'
    | ~ ( cLIKE @ cJ @ cS )
    | ~ ( cWRH @ cS )
    | ~ ( cW @ cS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl115]) ).

thf(zip_derived_cl3,plain,
    cWRH @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    cW @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl183,plain,
    ( '#form1'
    | ~ ( cLIKE @ cJ @ cS ) ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl188,plain,
    '#form1',
    inference(clc,[status(thm)],[zip_derived_cl166,zip_derived_cl183]) ).

thf(zip_derived_cl194,plain,
    cS = '#sk2',
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl188]) ).

thf(zip_derived_cl3_010,plain,
    cWRH @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl11_011,plain,
    ! [X2: $i > $o] :
      ( ( ( X2 @ cP )
       != ( cLIKE @ cP @ cS ) )
      | ( ( X2 @ cJ )
       != ( ??
          @ ^ [Y0: $i] :
              ( ( cUNIQUE @ Y0 )
              & ( cW @ Y0 )
              & ( cWRH @ Y0 )
              & ( cLIKE @ cJ @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) )
    | ( ( ^ [Y0: $i] :
            ( cWRH
            @ ( ^ [Y1: $i] : cS
              @ Y0 ) )
        @ cP )
     != ( cLIKE @ cP @ cS ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl11]) ).

thf(zip_derived_cl42,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) )
    | ( ( cWRH @ cS )
     != ( cLIKE @ cP @ cS ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl3_012,plain,
    cWRH @ cS,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl43,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) )
    | ~ ( cLIKE @ cP @ cS ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl3]) ).

thf(zip_derived_cl111_013,plain,
    ( '#form1'
    | ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cUNIQUE @ Y0 )
            & ( cW @ Y0 )
            & ( cWRH @ Y0 )
            & ( cLIKE @ cJ @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl56_014,plain,
    ( ~ '#form1'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( cUNIQUE @ Y0 )
          & ( cW @ Y0 )
          & ( cWRH @ Y0 )
          & ( cLIKE @ cJ @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl168,plain,
    ( ~ '#form1'
    | ~ ( cLIKE @ cP @ cS ) ),
    inference(renaming,[status(thm)],[zip_derived_cl43,zip_derived_cl111,zip_derived_cl56]) ).

thf(zip_derived_cl188_015,plain,
    '#form1',
    inference(clc,[status(thm)],[zip_derived_cl166,zip_derived_cl183]) ).

thf(zip_derived_cl196,plain,
    ~ ( cLIKE @ cP @ cS ),
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl188]) ).

thf(zip_derived_cl194_016,plain,
    cS = '#sk2',
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl188]) ).

thf(zip_derived_cl209,plain,
    ~ ( cLIKE @ cP @ '#sk2' ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl194]) ).

thf(zip_derived_cl209_017,plain,
    ~ ( cLIKE @ cP @ '#sk2' ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl194]) ).

thf(zip_derived_cl188_018,plain,
    '#form1',
    inference(clc,[status(thm)],[zip_derived_cl166,zip_derived_cl183]) ).

thf(zip_derived_cl227,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl194,zip_derived_cl209,zip_derived_cl209,zip_derived_cl188]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO224^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3jyabAJt7R true
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 04:21:29 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.23/0.70  % Total configuration time : 828
% 0.23/0.70  % Estimated wc time : 1656
% 0.23/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.81  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.43/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.63/0.91  % Solved by lams/20_acsne_simpl.sh.
% 1.63/0.91  % done 68 iterations in 0.049s
% 1.63/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.63/0.91  % SZS output start Refutation
% See solution above
% 1.63/0.91  
% 1.63/0.91  
% 1.63/0.91  % Terminating...
% 1.94/0.99  % Runner terminated.
% 1.94/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------