TSTP Solution File: ALG290^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG290^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T5ShGt7B0A true

% Computer : n026.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 : Wed Aug 30 17:12:44 EDT 2023

% Result   : Theorem 50.27s 7.13s
% Output   : Refutation 50.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   95 (  10 unt;  35 typ;   0 def)
%            Number of atoms       :  155 (  22 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  518 (  35   ~;  54   |;  32   &; 360   @)
%                                         (  16 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   73 (  73   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;   4 con; 0-3 aty)
%            Number of variables   :  119 (   0   ^; 105   !;  14   ?; 119   :)

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

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: a > a > $o ).

thf(cR_type,type,
    cR: a > a ).

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: a > a > $o ).

thf(zip_tseitin_9_type,type,
    zip_tseitin_9: a > $o ).

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: a > a > $o ).

thf(sk__7_type,type,
    sk__7: a > a ).

thf(cG_type,type,
    cG: a > $o ).

thf(sk__8_type,type,
    sk__8: a ).

thf(cF_type,type,
    cF: a > $o ).

thf(sk__9_type,type,
    sk__9: a ).

thf(zip_tseitin_8_type,type,
    zip_tseitin_8: a > a > $o ).

thf(cZ_type,type,
    cZ: a ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: a > ( a > $o ) > a > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: a > a > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: ( a > $o ) > a > $o ).

thf(sk__3_type,type,
    sk__3: a > a ).

thf(sk__5_type,type,
    sk__5: a > a ).

thf(cL_type,type,
    cL: a > a ).

thf(cX_type,type,
    cX: a > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: a > ( a > $o ) > $o ).

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

thf(sk__4_type,type,
    sk__4: a > a ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: ( a > $o ) > a > a > $o ).

thf(sk__6_type,type,
    sk__6: a > a ).

thf(cPU_X2310A_pme,conjecture,
    ( ( ! [X0: a > $o] :
          ( ? [Xt: a] :
              ( ( X0 @ Xt )
              & ! [Xu: a] :
                  ( ( X0 @ Xu )
                 => ( X0 @ ( cL @ Xu ) ) ) )
         => ( X0 @ cZ ) )
      & ! [Xt: a] :
          ( ( Xt != cZ )
        <=> ( Xt
            = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
      & ! [Xx: a,Xy: a] :
          ( ( cR @ ( cP @ Xx @ Xy ) )
          = Xy )
      & ! [Xx: a,Xy: a] :
          ( ( cL @ ( cP @ Xx @ Xy ) )
          = Xx )
      & ( ( cR @ cZ )
        = cZ )
      & ( ( cL @ cZ )
        = cZ ) )
   => ! [Xz: a] :
        ( ? [Xx: a] :
            ( ! [Xx_17: a] :
                ( ! [X0: a > $o] :
                    ( ( ! [Xz: a] :
                          ( ( X0 @ Xz )
                         => ( X0 @ ( cL @ Xz ) ) )
                      & ( X0 @ Xx ) )
                   => ? [Xv: a] :
                        ( ( X0 @ Xv )
                        & ( ( cR @ Xv )
                          = Xx_17 ) ) )
               => ( cX @ Xx_17 ) )
            & ( ( cF @ ( cP @ Xx @ Xz ) )
              | ( cG @ ( cP @ Xx @ Xz ) ) ) )
      <=> ( ? [Xx: a] :
              ( ! [Xx_19: a] :
                  ( ! [X0: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X0 @ Xz0 )
                           => ( X0 @ ( cL @ Xz0 ) ) )
                        & ( X0 @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X0 @ Xv )
                          & ( ( cR @ Xv )
                            = Xx_19 ) ) )
                 => ( cX @ Xx_19 ) )
              & ( cG @ ( cP @ Xx @ Xz ) ) )
          | ? [Xx: a] :
              ( ! [Xx_18: a] :
                  ( ! [X0: a > $o] :
                      ( ( ! [Xz0: a] :
                            ( ( X0 @ Xz0 )
                           => ( X0 @ ( cL @ Xz0 ) ) )
                        & ( X0 @ Xx ) )
                     => ? [Xv: a] :
                          ( ( X0 @ Xv )
                          & ( ( cR @ Xv )
                            = Xx_18 ) ) )
                 => ( cX @ Xx_18 ) )
              & ( cF @ ( cP @ Xx @ Xz ) ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Xx: a,Xz: a] :
      ( ( zip_tseitin_6 @ Xx @ Xz )
    <=> ( ( zip_tseitin_5 @ Xx @ Xz )
        & ! [Xx_17: a] : ( zip_tseitin_4 @ Xx_17 @ Xx ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ~ ( zip_tseitin_6 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_9: a > $o ).

thf(zf_stmt_2,axiom,
    ! [Xz: a] :
      ( ( zip_tseitin_9 @ Xz )
    <=> ( ? [Xx: a] : ( zip_tseitin_8 @ Xx @ Xz )
        | ? [Xx: a] : ( zip_tseitin_7 @ Xx @ Xz ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_8: a > a > $o ).

thf(zf_stmt_4,axiom,
    ! [Xx: a,Xz: a] :
      ( ( zip_tseitin_8 @ Xx @ Xz )
    <=> ( ( cF @ ( cP @ Xx @ Xz ) )
        & ! [Xx_18: a] : ( zip_tseitin_4 @ Xx_18 @ Xx ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_7: a > a > $o ).

thf(zf_stmt_6,axiom,
    ! [Xx: a,Xz: a] :
      ( ( zip_tseitin_7 @ Xx @ Xz )
    <=> ( ( cG @ ( cP @ Xx @ Xz ) )
        & ! [Xx_19: a] : ( zip_tseitin_4 @ Xx_19 @ Xx ) ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_6: a > a > $o ).

thf(zf_stmt_8,type,
    zip_tseitin_5: a > a > $o ).

thf(zf_stmt_9,axiom,
    ! [Xx: a,Xz: a] :
      ( ( zip_tseitin_5 @ Xx @ Xz )
    <=> ( ( cG @ ( cP @ Xx @ Xz ) )
        | ( cF @ ( cP @ Xx @ Xz ) ) ) ) ).

thf(zf_stmt_10,type,
    zip_tseitin_4: a > a > $o ).

thf(zf_stmt_11,axiom,
    ! [Xx_17: a,Xx: a] :
      ( ( zip_tseitin_4 @ Xx_17 @ Xx )
    <=> ( ! [X0: a > $o] : ( zip_tseitin_3 @ X0 @ Xx_17 @ Xx )
       => ( cX @ Xx_17 ) ) ) ).

thf(zf_stmt_12,type,
    zip_tseitin_3: ( a > $o ) > a > a > $o ).

thf(zf_stmt_13,axiom,
    ! [X0: a > $o,Xx_17: a,Xx: a] :
      ( ( zip_tseitin_3 @ X0 @ Xx_17 @ Xx )
    <=> ( ( zip_tseitin_1 @ X0 @ Xx )
       => ? [Xv: a] : ( zip_tseitin_2 @ Xv @ X0 @ Xx_17 ) ) ) ).

thf(zf_stmt_14,type,
    zip_tseitin_2: a > ( a > $o ) > a > $o ).

thf(zf_stmt_15,axiom,
    ! [Xv: a,X0: a > $o,Xx_17: a] :
      ( ( zip_tseitin_2 @ Xv @ X0 @ Xx_17 )
    <=> ( ( ( cR @ Xv )
          = Xx_17 )
        & ( X0 @ Xv ) ) ) ).

thf(zf_stmt_16,type,
    zip_tseitin_1: ( a > $o ) > a > $o ).

thf(zf_stmt_17,axiom,
    ! [X0: a > $o,Xx: a] :
      ( ( zip_tseitin_1 @ X0 @ Xx )
    <=> ( ( X0 @ Xx )
        & ! [Xz: a] : ( zip_tseitin_0 @ Xz @ X0 ) ) ) ).

thf(zf_stmt_18,type,
    zip_tseitin_0: a > ( a > $o ) > $o ).

thf(zf_stmt_19,axiom,
    ! [Xz: a,X0: a > $o] :
      ( ( zip_tseitin_0 @ Xz @ X0 )
    <=> ( ( X0 @ Xz )
       => ( X0 @ ( cL @ Xz ) ) ) ) ).

thf(zf_stmt_20,conjecture,
    ( ( ( ( cL @ cZ )
        = cZ )
      & ( ( cR @ cZ )
        = cZ )
      & ! [Xx: a,Xy: a] :
          ( ( cL @ ( cP @ Xx @ Xy ) )
          = Xx )
      & ! [Xx: a,Xy: a] :
          ( ( cR @ ( cP @ Xx @ Xy ) )
          = Xy )
      & ! [Xt: a] :
          ( ( Xt != cZ )
        <=> ( Xt
            = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
      & ! [X0: a > $o] :
          ( ? [Xt: a] :
              ( ! [Xu: a] :
                  ( ( X0 @ Xu )
                 => ( X0 @ ( cL @ Xu ) ) )
              & ( X0 @ Xt ) )
         => ( X0 @ cZ ) ) )
   => ! [Xz: a] :
        ( ? [Xx: a] : ( zip_tseitin_6 @ Xx @ Xz )
      <=> ( zip_tseitin_9 @ Xz ) ) ) ).

thf(zf_stmt_21,negated_conjecture,
    ~ ( ( ( ( cL @ cZ )
          = cZ )
        & ( ( cR @ cZ )
          = cZ )
        & ! [Xx: a,Xy: a] :
            ( ( cL @ ( cP @ Xx @ Xy ) )
            = Xx )
        & ! [Xx: a,Xy: a] :
            ( ( cR @ ( cP @ Xx @ Xy ) )
            = Xy )
        & ! [Xt: a] :
            ( ( Xt != cZ )
          <=> ( Xt
              = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
        & ! [X0: a > $o] :
            ( ? [Xt: a] :
                ( ! [Xu: a] :
                    ( ( X0 @ Xu )
                   => ( X0 @ ( cL @ Xu ) ) )
                & ( X0 @ Xt ) )
           => ( X0 @ cZ ) ) )
     => ! [Xz: a] :
          ( ? [Xx: a] : ( zip_tseitin_6 @ Xx @ Xz )
        <=> ( zip_tseitin_9 @ Xz ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_20]) ).

thf(zip_derived_cl39,plain,
    ( ( zip_tseitin_9 @ sk__8 )
    | ( zip_tseitin_6 @ sk__9 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf(zip_derived_cl880,plain,
    ( ( zip_tseitin_5 @ sk__9 @ sk__8 )
    | ( zip_tseitin_9 @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl39]) ).

thf(zip_derived_cl15,plain,
    ! [X0: a,X1: a] :
      ( ( cF @ ( cP @ X0 @ X1 ) )
      | ( cG @ ( cP @ X0 @ X1 ) )
      | ~ ( zip_tseitin_5 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl2179,plain,
    ( ( zip_tseitin_9 @ sk__8 )
    | ( cG @ ( cP @ sk__9 @ sk__8 ) )
    | ( cF @ ( cP @ sk__9 @ sk__8 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl880,zip_derived_cl15]) ).

thf(zip_derived_cl26,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_8 @ X0 @ X1 )
      | ~ ( zip_tseitin_4 @ ( sk__5 @ X0 ) @ X0 )
      | ~ ( cF @ ( cP @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl39_001,plain,
    ( ( zip_tseitin_9 @ sk__8 )
    | ( zip_tseitin_6 @ sk__9 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf(zip_derived_cl19,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ~ ( zip_tseitin_6 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl918,plain,
    ! [X0: a] :
      ( ( zip_tseitin_9 @ sk__8 )
      | ( zip_tseitin_4 @ X0 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl19]) ).

thf(zip_derived_cl2745,plain,
    ! [X0: a] :
      ( ~ ( cF @ ( cP @ sk__9 @ X0 ) )
      | ( zip_tseitin_8 @ sk__9 @ X0 )
      | ( zip_tseitin_9 @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl918]) ).

thf(zip_derived_cl7202,plain,
    ( ( cG @ ( cP @ sk__9 @ sk__8 ) )
    | ( zip_tseitin_9 @ sk__8 )
    | ( zip_tseitin_9 @ sk__8 )
    | ( zip_tseitin_8 @ sk__9 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2179,zip_derived_cl2745]) ).

thf(zip_derived_cl7221,plain,
    ( ( zip_tseitin_8 @ sk__9 @ sk__8 )
    | ( zip_tseitin_9 @ sk__8 )
    | ( cG @ ( cP @ sk__9 @ sk__8 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7202]) ).

thf(zip_derived_cl28,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_9 @ X0 )
      | ~ ( zip_tseitin_8 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7259,plain,
    ( ( cG @ ( cP @ sk__9 @ sk__8 ) )
    | ( zip_tseitin_9 @ sk__8 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7221,zip_derived_cl28]) ).

thf(zip_derived_cl23,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_7 @ X0 @ X1 )
      | ~ ( zip_tseitin_4 @ ( sk__4 @ X0 ) @ X0 )
      | ~ ( cG @ ( cP @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl918_002,plain,
    ! [X0: a] :
      ( ( zip_tseitin_9 @ sk__8 )
      | ( zip_tseitin_4 @ X0 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl19]) ).

thf(zip_derived_cl2525,plain,
    ! [X0: a] :
      ( ~ ( cG @ ( cP @ sk__9 @ X0 ) )
      | ( zip_tseitin_7 @ sk__9 @ X0 )
      | ( zip_tseitin_9 @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl918]) ).

thf(zip_derived_cl7260,plain,
    ( ( zip_tseitin_9 @ sk__8 )
    | ( zip_tseitin_9 @ sk__8 )
    | ( zip_tseitin_7 @ sk__9 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7259,zip_derived_cl2525]) ).

thf(zip_derived_cl7273,plain,
    ( ( zip_tseitin_7 @ sk__9 @ sk__8 )
    | ( zip_tseitin_9 @ sk__8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7260]) ).

thf(zip_derived_cl29,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_9 @ X0 )
      | ~ ( zip_tseitin_7 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7301,plain,
    zip_tseitin_9 @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl7273,zip_derived_cl29]) ).

thf(zip_derived_cl27,plain,
    ! [X0: a] :
      ( ( zip_tseitin_7 @ ( sk__6 @ X0 ) @ X0 )
      | ( zip_tseitin_8 @ ( sk__7 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_9 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7303,plain,
    ( ( zip_tseitin_8 @ ( sk__7 @ sk__8 ) @ sk__8 )
    | ( zip_tseitin_7 @ ( sk__6 @ sk__8 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7301,zip_derived_cl27]) ).

thf(zip_derived_cl25,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ~ ( zip_tseitin_8 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl7404,plain,
    ! [X0: a] :
      ( ( zip_tseitin_7 @ ( sk__6 @ sk__8 ) @ sk__8 )
      | ( zip_tseitin_4 @ X0 @ ( sk__7 @ sk__8 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7303,zip_derived_cl25]) ).

thf(zip_derived_cl20,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_6 @ X0 @ X1 )
      | ~ ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_5 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ! [X8: a] :
      ( ~ ( zip_tseitin_9 @ sk__8 )
      | ~ ( zip_tseitin_6 @ X8 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf(zip_derived_cl7301_003,plain,
    zip_tseitin_9 @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl7273,zip_derived_cl29]) ).

thf(zip_derived_cl7302,plain,
    ! [X8: a] :
      ~ ( zip_tseitin_6 @ X8 @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl7301]) ).

thf(zip_derived_cl7360,plain,
    ! [X0: a] :
      ( ~ ( zip_tseitin_5 @ X0 @ sk__8 )
      | ~ ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl7302]) ).

thf(zip_derived_cl8279,plain,
    ( ( zip_tseitin_7 @ ( sk__6 @ sk__8 ) @ sk__8 )
    | ~ ( zip_tseitin_5 @ ( sk__7 @ sk__8 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7404,zip_derived_cl7360]) ).

thf(zip_derived_cl7303_004,plain,
    ( ( zip_tseitin_8 @ ( sk__7 @ sk__8 ) @ sk__8 )
    | ( zip_tseitin_7 @ ( sk__6 @ sk__8 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7301,zip_derived_cl27]) ).

thf(zip_derived_cl24,plain,
    ! [X0: a,X1: a] :
      ( ( cF @ ( cP @ X0 @ X1 ) )
      | ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl17,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ~ ( cF @ ( cP @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl1277,plain,
    ! [X0: a,X1: a] :
      ( ~ ( zip_tseitin_8 @ X1 @ X0 )
      | ( zip_tseitin_5 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl17]) ).

thf(zip_derived_cl7402,plain,
    ( ( zip_tseitin_7 @ ( sk__6 @ sk__8 ) @ sk__8 )
    | ( zip_tseitin_5 @ ( sk__7 @ sk__8 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7303,zip_derived_cl1277]) ).

thf(zip_derived_cl8583,plain,
    zip_tseitin_7 @ ( sk__6 @ sk__8 ) @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl8279,zip_derived_cl7402]) ).

thf(zip_derived_cl22,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ~ ( zip_tseitin_7 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl8589,plain,
    ! [X0: a] : ( zip_tseitin_4 @ X0 @ ( sk__6 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8583,zip_derived_cl22]) ).

thf(zip_derived_cl7360_005,plain,
    ! [X0: a] :
      ( ~ ( zip_tseitin_5 @ X0 @ sk__8 )
      | ~ ( zip_tseitin_4 @ ( sk__3 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl7302]) ).

thf(zip_derived_cl8820,plain,
    ~ ( zip_tseitin_5 @ ( sk__6 @ sk__8 ) @ sk__8 ),
    inference('sup-',[status(thm)],[zip_derived_cl8589,zip_derived_cl7360]) ).

thf(zip_derived_cl8583_006,plain,
    zip_tseitin_7 @ ( sk__6 @ sk__8 ) @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl8279,zip_derived_cl7402]) ).

thf(zip_derived_cl21,plain,
    ! [X0: a,X1: a] :
      ( ( cG @ ( cP @ X0 @ X1 ) )
      | ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl16,plain,
    ! [X0: a,X1: a] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ~ ( cG @ ( cP @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl950,plain,
    ! [X0: a,X1: a] :
      ( ~ ( zip_tseitin_7 @ X1 @ X0 )
      | ( zip_tseitin_5 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).

thf(zip_derived_cl8587,plain,
    zip_tseitin_5 @ ( sk__6 @ sk__8 ) @ sk__8,
    inference('sup-',[status(thm)],[zip_derived_cl8583,zip_derived_cl950]) ).

thf(zip_derived_cl8843,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8820,zip_derived_cl8587]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG290^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T5ShGt7B0A true
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 05:54:04 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.63  % Total configuration time : 828
% 0.20/0.63  % Estimated wc time : 1656
% 0.20/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.18/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.18/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.18/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 50.27/7.13  % Solved by lams/40_c_ic.sh.
% 50.27/7.13  % done 954 iterations in 6.326s
% 50.27/7.13  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.27/7.13  % SZS output start Refutation
% See solution above
% 50.27/7.13  
% 50.27/7.13  
% 50.27/7.13  % Terminating...
% 50.62/7.18  % Runner terminated.
% 50.62/7.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------