TSTP Solution File: KLE133+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE133+1 : 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.H3sUGPbz7r 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 05:38:45 EDT 2023

% Result   : Theorem 0.56s 0.83s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  101 (  88 unt;  11 typ;   0 def)
%            Number of atoms       :   94 (  93 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  464 (   4   ~;   0   |;   2   &; 456   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   75 (   0   ^;  75   !;   0   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
thf(multiplication_type,type,
    multiplication: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(one_type,type,
    one: $i ).

thf(addition_type,type,
    addition: $i > $i > $i ).

thf(antidomain_type,type,
    antidomain: $i > $i ).

thf(star_type,type,
    star: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(forward_diamond_type,type,
    forward_diamond: $i > $i > $i ).

thf(domain_type,type,
    domain: $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(domain_difference_type,type,
    domain_difference: $i > $i > $i ).

thf(goals,conjecture,
    ! [X0: $i] :
      ( ( ! [X1: $i] :
            ( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
            = ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
        & ! [X2: $i] :
            ( ( forward_diamond @ X0 @ ( forward_diamond @ X0 @ ( domain @ X2 ) ) )
            = ( forward_diamond @ X0 @ ( domain @ X2 ) ) ) )
     => ! [X3: $i] :
          ( ( addition @ ( forward_diamond @ X0 @ ( domain @ X3 ) ) @ ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X3 ) @ ( forward_diamond @ X0 @ ( domain @ X3 ) ) ) ) )
          = ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X3 ) @ ( forward_diamond @ X0 @ ( domain @ X3 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i] :
        ( ( ! [X1: $i] :
              ( ( addition @ ( domain @ X1 ) @ ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
              = ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X1 ) @ ( forward_diamond @ X0 @ ( domain @ X1 ) ) ) ) )
          & ! [X2: $i] :
              ( ( forward_diamond @ X0 @ ( forward_diamond @ X0 @ ( domain @ X2 ) ) )
              = ( forward_diamond @ X0 @ ( domain @ X2 ) ) ) )
       => ! [X3: $i] :
            ( ( addition @ ( forward_diamond @ X0 @ ( domain @ X3 ) ) @ ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X3 ) @ ( forward_diamond @ X0 @ ( domain @ X3 ) ) ) ) )
            = ( forward_diamond @ ( star @ X0 ) @ ( domain_difference @ ( domain @ X3 ) @ ( forward_diamond @ X0 @ ( domain @ X3 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl31,plain,
    ( ( addition @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ sk__1 ) @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) ) ) )
   != ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ sk__1 ) @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(domain_difference,axiom,
    ! [X0: $i,X1: $i] :
      ( ( domain_difference @ X0 @ X1 )
      = ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain_difference @ X0 @ X1 )
      = ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain_difference]) ).

thf(zip_derived_cl22_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain_difference @ X0 @ X1 )
      = ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain_difference]) ).

thf(zip_derived_cl162,plain,
    ( ( addition @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) @ ( forward_diamond @ ( star @ sk_ ) @ ( multiplication @ ( domain @ ( domain @ sk__1 ) ) @ ( antidomain @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) ) ) ) )
   != ( forward_diamond @ ( star @ sk_ ) @ ( multiplication @ ( domain @ ( domain @ sk__1 ) ) @ ( antidomain @ ( forward_diamond @ sk_ @ ( domain @ sk__1 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl22,zip_derived_cl22]) ).

thf(domain1,axiom,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[domain1]) ).

thf(multiplicative_right_identity,axiom,
    ! [A: $i] :
      ( ( multiplication @ A @ one )
      = A ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl72,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(domain3,axiom,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

thf(domain4,axiom,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i] :
      ( ( addition @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
      = one ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl243,plain,
    ( ( addition @ ( domain @ one ) @ zero )
    = one ),
    inference('s_sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl239]) ).

thf(additive_identity,axiom,
    ! [A: $i] :
      ( ( addition @ A @ zero )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(zip_derived_cl265,plain,
    ( one
    = ( domain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl30,plain,
    ! [X1: $i] :
      ( ( forward_diamond @ sk_ @ ( forward_diamond @ sk_ @ ( domain @ X1 ) ) )
      = ( forward_diamond @ sk_ @ ( domain @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl399,plain,
    ( ( forward_diamond @ sk_ @ ( forward_diamond @ sk_ @ one ) )
    = ( forward_diamond @ sk_ @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl265,zip_derived_cl30]) ).

thf(zip_derived_cl265_002,plain,
    ( one
    = ( domain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(forward_diamond,axiom,
    ! [X0: $i,X1: $i] :
      ( ( forward_diamond @ X0 @ X1 )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( forward_diamond @ X0 @ X1 )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[forward_diamond]) ).

thf(zip_derived_cl276,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ X0 @ one )
      = ( domain @ ( multiplication @ X0 @ one ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl265,zip_derived_cl23]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl280,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ X0 @ one )
      = ( domain @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl5]) ).

thf(zip_derived_cl280_004,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ X0 @ one )
      = ( domain @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl5]) ).

thf(zip_derived_cl403,plain,
    ( ( forward_diamond @ sk_ @ ( domain @ sk_ ) )
    = ( domain @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl280,zip_derived_cl280]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( addition @ ( domain @ X0 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) )
      = ( forward_diamond @ ( star @ sk_ ) @ ( domain_difference @ ( domain @ X0 ) @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain_difference @ X0 @ X1 )
      = ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain_difference]) ).

thf(zip_derived_cl22_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain_difference @ X0 @ X1 )
      = ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain_difference]) ).

thf(zip_derived_cl463,plain,
    ! [X0: $i] :
      ( ( addition @ ( domain @ X0 ) @ ( forward_diamond @ ( star @ sk_ ) @ ( multiplication @ ( domain @ ( domain @ X0 ) ) @ ( antidomain @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) ) )
      = ( forward_diamond @ ( star @ sk_ ) @ ( multiplication @ ( domain @ ( domain @ X0 ) ) @ ( antidomain @ ( forward_diamond @ sk_ @ ( domain @ X0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl22,zip_derived_cl22]) ).

thf(zip_derived_cl466,plain,
    ( ( addition @ ( domain @ sk_ ) @ ( forward_diamond @ ( star @ sk_ ) @ ( multiplication @ ( domain @ ( domain @ sk_ ) ) @ ( antidomain @ ( domain @ sk_ ) ) ) ) )
    = ( forward_diamond @ ( star @ sk_ ) @ ( multiplication @ ( domain @ ( domain @ sk_ ) ) @ ( antidomain @ ( domain @ sk_ ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl403,zip_derived_cl463]) ).

thf(zip_derived_cl16_007,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl13_008,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[domain1]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
      = zero ),
    inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).

thf(zip_derived_cl72_009,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl16_010,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl76,plain,
    ( ( domain @ one )
    = ( antidomain @ zero ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl16]) ).

thf(zip_derived_cl16_011,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl78,plain,
    ( ( domain @ zero )
    = ( antidomain @ ( domain @ one ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl16]) ).

thf(zip_derived_cl265_012,plain,
    ( one
    = ( domain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl72_013,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl268,plain,
    ( ( domain @ zero )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl265,zip_derived_cl72]) ).

thf(zip_derived_cl23_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( forward_diamond @ X0 @ X1 )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[forward_diamond]) ).

thf(zip_derived_cl307,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ X0 @ zero )
      = ( domain @ ( multiplication @ X0 @ zero ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl268,zip_derived_cl23]) ).

thf(right_annihilation,axiom,
    ! [A: $i] :
      ( ( multiplication @ A @ zero )
      = zero ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ zero )
      = zero ),
    inference(cnf,[status(esa)],[right_annihilation]) ).

thf(zip_derived_cl268_015,plain,
    ( ( domain @ zero )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl265,zip_derived_cl72]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ X0 @ zero )
      = zero ),
    inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl9,zip_derived_cl268]) ).

thf(zip_derived_cl2_016,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(zip_derived_cl73_017,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
      = zero ),
    inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).

thf(zip_derived_cl309_018,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ X0 @ zero )
      = zero ),
    inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl9,zip_derived_cl268]) ).

thf(zip_derived_cl483,plain,
    ( ( domain @ sk_ )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl73,zip_derived_cl309,zip_derived_cl2,zip_derived_cl73,zip_derived_cl309]) ).

thf(zip_derived_cl239_019,plain,
    ! [X0: $i] :
      ( ( addition @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
      = one ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl495,plain,
    ( ( addition @ zero @ ( antidomain @ sk_ ) )
    = one ),
    inference('s_sup+',[status(thm)],[zip_derived_cl483,zip_derived_cl239]) ).

thf(zip_derived_cl2_020,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(additive_commutativity,axiom,
    ! [A: $i,B: $i] :
      ( ( addition @ A @ B )
      = ( addition @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( X0
      = ( addition @ zero @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl612,plain,
    ( ( antidomain @ sk_ )
    = one ),
    inference('s_sup+',[status(thm)],[zip_derived_cl495,zip_derived_cl33]) ).

thf(zip_derived_cl13_021,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[domain1]) ).

thf(zip_derived_cl615,plain,
    ( ( multiplication @ one @ sk_ )
    = zero ),
    inference('s_sup+',[status(thm)],[zip_derived_cl612,zip_derived_cl13]) ).

thf(multiplicative_left_identity,axiom,
    ! [A: $i] :
      ( ( multiplication @ one @ A )
      = A ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

thf(zip_derived_cl631,plain,
    zero = sk_,
    inference('s_sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl6]) ).

thf(left_annihilation,axiom,
    ! [A: $i] :
      ( ( multiplication @ zero @ A )
      = zero ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( multiplication @ zero @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[left_annihilation]) ).

thf(zip_derived_cl23_022,plain,
    ! [X0: $i,X1: $i] :
      ( ( forward_diamond @ X0 @ X1 )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[forward_diamond]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ zero @ X0 )
      = ( domain @ zero ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl23]) ).

thf(zip_derived_cl268_023,plain,
    ( ( domain @ zero )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl265,zip_derived_cl72]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ zero @ X0 )
      = zero ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl268]) ).

thf(zip_derived_cl631_024,plain,
    zero = sk_,
    inference('s_sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl6]) ).

thf(zip_derived_cl631_025,plain,
    zero = sk_,
    inference('s_sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl6]) ).

thf(zip_derived_cl302_026,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ zero @ X0 )
      = zero ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl268]) ).

thf(zip_derived_cl76_027,plain,
    ( ( domain @ one )
    = ( antidomain @ zero ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl16]) ).

thf(zip_derived_cl265_028,plain,
    ( one
    = ( domain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl267,plain,
    ( one
    = ( antidomain @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl265]) ).

thf(zip_derived_cl5_029,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl33_030,plain,
    ! [X0: $i] :
      ( X0
      = ( addition @ zero @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl631_031,plain,
    zero = sk_,
    inference('s_sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl6]) ).

thf(zip_derived_cl631_032,plain,
    zero = sk_,
    inference('s_sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl6]) ).

thf(zip_derived_cl302_033,plain,
    ! [X0: $i] :
      ( ( forward_diamond @ zero @ X0 )
      = zero ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl268]) ).

thf(zip_derived_cl267_034,plain,
    ( one
    = ( antidomain @ zero ) ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl265]) ).

thf(zip_derived_cl5_035,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl640,plain,
    ( ( forward_diamond @ ( star @ zero ) @ ( domain @ ( domain @ sk__1 ) ) )
   != ( forward_diamond @ ( star @ zero ) @ ( domain @ ( domain @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl631,zip_derived_cl302,zip_derived_cl631,zip_derived_cl631,zip_derived_cl302,zip_derived_cl267,zip_derived_cl5,zip_derived_cl33,zip_derived_cl631,zip_derived_cl631,zip_derived_cl302,zip_derived_cl267,zip_derived_cl5]) ).

thf(zip_derived_cl641,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl640]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE133+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H3sUGPbz7r true
% 0.14/0.35  % Computer : n009.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 : Tue Aug 29 11:28:50 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.52/0.62  % Total configuration time : 435
% 0.52/0.62  % Estimated wc time : 1092
% 0.52/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.83  % Solved by fo/fo1_av.sh.
% 0.56/0.83  % done 129 iterations in 0.086s
% 0.56/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.83  % SZS output start Refutation
% See solution above
% 0.56/0.84  
% 0.56/0.84  
% 0.56/0.84  % Terminating...
% 1.71/0.94  % Runner terminated.
% 1.71/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------