TSTP Solution File: ITP003^1 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP003^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.i5V978zrlC true

% Computer : n017.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 05:20:41 EDT 2023

% Result   : Theorem 25.84s 3.96s
% Output   : Refutation 25.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   42
% Syntax   : Number of formulae    :   60 (  14 unt;  26 typ;   0 def)
%            Number of atoms       :   91 (  31 equ;   3 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  327 (   8   ~;   0   |;  10   &; 260   @)
%                                         (  22 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  22 usr;  10 con; 0-3 aty)
%                                         (  22  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   51 (  25   ^;  23   !;   3   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Enum_2Enum_type,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

thf(du_type,type,
    du: $tType ).

thf(d_type,type,
    d: $tType ).

thf(u_type,type,
    u: $tType ).

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: d ).

thf(mono_2Ec_2Earithmetic_2EMOD_type,type,
    mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Earithmetic_2E_2B_type,type,
    mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Earithmetic_2EEVEN_type,type,
    mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o ).

thf(j_mono_2Etyop_2Enum_2Enum_type,type,
    j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).

thf(tyop_2Enum_2Enum_type,type,
    tyop_2Enum_2Enum: d ).

thf(s_type,type,
    s: d > u > du ).

thf(mono_2Ec_2Eprim__rec_2E_3C_type,type,
    mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).

thf(mono_2Ec_2Earithmetic_2E_2A_type,type,
    mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Earithmetic_2EBIT1_type,type,
    mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(i_mono_2Etyop_2Enum_2Enum_type,type,
    i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).

thf(mono_2Ec_2Earithmetic_2EZERO_type,type,
    mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Earithmetic_2EBIT2_type,type,
    mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum_type,type,
    mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Enum_2E0_type,type,
    mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Earithmetic_2ENUMERAL_type,type,
    mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(i_mono_2Etyop_2Emin_2Ebool_type,type,
    i_mono_2Etyop_2Emin_2Ebool: $o > u ).

thf(mono_2Ec_2Ebool_2EF_type,type,
    mono_2Ec_2Ebool_2EF: $o ).

thf(c_2Ebool_2ECOND_2E3_type,type,
    c_2Ebool_2ECOND_2E3: du > du > du > u ).

thf(mono_2Ec_2Ebool_2ET_type,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(mono_2Ec_2Enum_2ESUC_type,type,
    mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Earithmetic_2EODD_type,type,
    mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o ).

thf(thm_2Earithmetic_2ELESS__MONO__EQ,axiom,
    ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ V0m ) @ ( mono_2Ec_2Enum_2ESUC @ V1n ) )
      = ( mono_2Ec_2Eprim__rec_2E_3C @ V0m @ V1n ) ) ).

thf(zip_derived_cl60,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( !!
        @ ^ [Y1: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ Y0 ) @ ( mono_2Ec_2Enum_2ESUC @ Y1 ) )
            = ( mono_2Ec_2Eprim__rec_2E_3C @ Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2ELESS__MONO__EQ]) ).

thf(thm_2Earithmetic_2EODD__EVEN,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Earithmetic_2EODD @ V0n )
    <=> ~ ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) ) ).

thf(zip_derived_cl64,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Earithmetic_2EODD @ Y0 )
      <=> ( (~) @ ( mono_2Ec_2Earithmetic_2EEVEN @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EODD__EVEN]) ).

thf(thm_2Eprim__rec_2ELESS__0,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) ).

thf(zip_derived_cl98,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ Y0 ) ) ),
    inference(cnf,[status(esa)],[thm_2Eprim__rec_2ELESS__0]) ).

thf(thm_2Earithmetic_2EODD__EXISTS,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Earithmetic_2EODD @ V0n )
    <=> ? [V1m: mono_2Etyop_2Enum_2Enum] :
          ( V0n
          = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V1m ) ) ) ) ).

thf(zip_derived_cl66,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Earithmetic_2EODD @ Y0 )
      <=> ( ??
          @ ^ [Y1: mono_2Etyop_2Enum_2Enum] :
              ( Y0
              = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EODD__EXISTS]) ).

thf(thm_2Earithmetic_2EEVEN__EXISTS,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Earithmetic_2EEVEN @ V0n )
    <=> ? [V1m: mono_2Etyop_2Enum_2Enum] :
          ( V0n
          = ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V1m ) ) ) ).

thf(zip_derived_cl65,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Earithmetic_2EEVEN @ Y0 )
      <=> ( ??
          @ ^ [Y1: mono_2Etyop_2Enum_2Enum] :
              ( Y0
              = ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EEVEN__EXISTS]) ).

thf(thm_2Earithmetic_2EMULT__COMM,axiom,
    ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ V1n )
      = ( mono_2Ec_2Earithmetic_2E_2A @ V1n @ V0m ) ) ).

thf(zip_derived_cl62,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( !!
        @ ^ [Y1: mono_2Etyop_2Enum_2Enum] :
            ( ( mono_2Ec_2Earithmetic_2E_2A @ Y0 @ Y1 )
            = ( mono_2Ec_2Earithmetic_2E_2A @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EMULT__COMM]) ).

thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: mono_2Etyop_2Enum_2Enum] :
      ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
      = V0 ) ).

thf(zip_derived_cl30,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ Y0 ) ) )
        = Y0 ) ),
    inference(cnf,[status(esa)],[ji_2Emono_2Etyop_2Enum_2Enum]) ).

thf(thm_2Earithmetic_2ETWO,axiom,
    ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
    = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(zip_derived_cl58,plain,
    ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
    = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2ETWO]) ).

thf(thm_2Earithmetic_2EONE,axiom,
    ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) )
    = ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ).

thf(zip_derived_cl57,plain,
    ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) )
    = ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EONE]) ).

thf(thm_2Earithmetic_2EADD__0,axiom,
    ! [V0m: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ mono_2Ec_2Enum_2E0 )
      = V0m ) ).

thf(zip_derived_cl59,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Earithmetic_2E_2B @ Y0 @ mono_2Ec_2Enum_2E0 )
        = Y0 ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EADD__0]) ).

thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
    ! [V0: $o,V1: mono_2Etyop_2Enum_2Enum,V2: mono_2Etyop_2Enum_2Enum] :
      ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
      = ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2 ) ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ( !!
    @ ^ [Y0: $o] :
        ( !!
        @ ^ [Y1: mono_2Etyop_2Enum_2Enum] :
            ( !!
            @ ^ [Y2: mono_2Etyop_2Enum_2Enum] :
                ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ Y0 @ Y1 @ Y2 ) ) )
                = ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ Y0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ Y1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ Y2 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum]) ).

thf(thm_2Earithmetic_2EADD1,axiom,
    ! [V0m: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Enum_2ESUC @ V0m )
      = ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(zip_derived_cl61,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Enum_2ESUC @ Y0 )
        = ( mono_2Ec_2Earithmetic_2E_2B @ Y0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EADD1]) ).

thf(thm_2Earithmetic_2EMOD__UNIQUE,axiom,
    ! [V0n: mono_2Etyop_2Enum_2Enum,V1k: mono_2Etyop_2Enum_2Enum,V2r: mono_2Etyop_2Enum_2Enum] :
      ( ? [V3q: mono_2Etyop_2Enum_2Enum] :
          ( ( V1k
            = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ V3q @ V0n ) @ V2r ) )
          & ( mono_2Ec_2Eprim__rec_2E_3C @ V2r @ V0n ) )
     => ( ( mono_2Ec_2Earithmetic_2EMOD @ V1k @ V0n )
        = V2r ) ) ).

thf(zip_derived_cl67,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
        ( !!
        @ ^ [Y1: mono_2Etyop_2Enum_2Enum] :
            ( !!
            @ ^ [Y2: mono_2Etyop_2Enum_2Enum] :
                ( ( ??
                  @ ^ [Y3: mono_2Etyop_2Enum_2Enum] :
                      ( ( Y1
                        = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ Y3 @ Y0 ) @ Y2 ) )
                      & ( mono_2Ec_2Eprim__rec_2E_3C @ Y2 @ Y0 ) ) )
               => ( ( mono_2Ec_2Earithmetic_2EMOD @ Y1 @ Y0 )
                  = Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EMOD__UNIQUE]) ).

thf(thm_2Earithmetic_2EMOD__2,conjecture,
    ! [V0n: mono_2Etyop_2Enum_2Enum] :
      ( ( mono_2Ec_2Earithmetic_2EMOD @ V0n @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
      = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0n: mono_2Etyop_2Enum_2Enum] :
        ( ( mono_2Ec_2Earithmetic_2EMOD @ V0n @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
        = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Earithmetic_2EMOD__2]) ).

thf(zip_derived_cl114,plain,
    ~ ( !!
      @ ^ [Y0: mono_2Etyop_2Enum_2Enum] :
          ( ( mono_2Ec_2Earithmetic_2EMOD @ Y0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
          = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ Y0 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
    ! [V0t: $o] :
      ( ( ( mono_2Ec_2Ebool_2ET
        <=> V0t )
      <=> V0t )
      & ( ( V0t
        <=> mono_2Ec_2Ebool_2ET )
      <=> V0t )
      & ( ( mono_2Ec_2Ebool_2EF
        <=> V0t )
      <=> ~ V0t )
      & ( ( V0t
        <=> mono_2Ec_2Ebool_2EF )
      <=> ~ V0t ) ) ).

thf(zip_derived_cl81,plain,
    ( !!
    @ ^ [Y0: $o] :
        ( ( ( mono_2Ec_2Ebool_2ET
          <=> Y0 )
        <=> Y0 )
        & ( ( Y0
          <=> mono_2Ec_2Ebool_2ET )
        <=> Y0 )
        & ( ( mono_2Ec_2Ebool_2EF
          <=> Y0 )
        <=> ( (~) @ Y0 ) )
        & ( ( Y0
          <=> mono_2Ec_2Ebool_2EF )
        <=> ( (~) @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Ebool_2EEQ__CLAUSES]) ).

thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
    ! [A_27a: d,V0t1_2E0: u,V1t2_2E0: u] :
      ( ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
        = ( s @ A_27a @ V0t1_2E0 ) )
      & ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
        = ( s @ A_27a @ V1t2_2E0 ) ) ) ).

thf(zip_derived_cl82,plain,
    ( !!
    @ ^ [Y0: d] :
        ( !!
        @ ^ [Y1: u] :
            ( !!
            @ ^ [Y2: u] :
                ( ( ( s @ Y0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ Y0 @ Y1 ) @ ( s @ Y0 @ Y2 ) ) )
                  = ( s @ Y0 @ Y1 ) )
                & ( ( s @ Y0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ Y0 @ Y1 ) @ ( s @ Y0 @ Y2 ) ) )
                  = ( s @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Ebool_2ECOND__CLAUSES]) ).

thf(zip_derived_cl3672,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl60,zip_derived_cl64,zip_derived_cl98,zip_derived_cl66,zip_derived_cl65,zip_derived_cl62,zip_derived_cl30,zip_derived_cl58,zip_derived_cl57,zip_derived_cl59,zip_derived_cl48,zip_derived_cl61,zip_derived_cl67,zip_derived_cl114,zip_derived_cl81,zip_derived_cl82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ITP003^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.i5V978zrlC true
% 0.13/0.35  % Computer : n017.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 : Sun Aug 27 09:55:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.49/0.66  % Total configuration time : 828
% 0.49/0.66  % Estimated wc time : 1656
% 0.49/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 25.84/3.96  % Solved by lams/15_e_short1.sh.
% 25.84/3.96  % done 176 iterations in 3.167s
% 25.84/3.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 25.84/3.96  % SZS output start Refutation
% See solution above
% 25.84/3.96  
% 25.84/3.96  
% 25.84/3.96  % Terminating...
% 26.44/4.07  % Runner terminated.
% 26.44/4.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------