TSTP Solution File: KLE038+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE038+1 : 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.3cqOxhywhB true

% Computer : n002.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 05:38:25 EDT 2023

% Result   : Theorem 181.42s 26.61s
% Output   : Refutation 181.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   93 (  63 unt;   7 typ;   0 def)
%            Number of atoms       :  109 (  78 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  537 (  25   ~;  21   |;   0   &; 489   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  128 (   0   ^; 128   !;   0   ?; 128   :)

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

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

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

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

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

thf(leq_type,type,
    leq: $i > $i > $o ).

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

thf(order,axiom,
    ! [A: $i,B: $i] :
      ( ( leq @ A @ B )
    <=> ( ( addition @ A @ B )
        = B ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( ( addition @ X0 @ X1 )
       != X1 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(goals,conjecture,
    ! [X0: $i] : ( leq @ X0 @ ( star @ X0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i] : ( leq @ X0 @ ( star @ X0 ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl17,plain,
    ~ ( leq @ sk_ @ ( star @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ( ( addition @ sk_ @ ( star @ sk_ ) )
   != ( star @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl17]) ).

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(right_distributivity,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ A @ ( addition @ B @ C ) )
      = ( addition @ ( multiplication @ A @ B ) @ ( multiplication @ A @ C ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[right_distributivity]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ X0 @ ( addition @ X1 @ one ) )
      = ( addition @ ( multiplication @ X0 @ X1 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).

thf(star_unfold_right,axiom,
    ! [A: $i] : ( leq @ ( addition @ one @ ( multiplication @ A @ ( star @ A ) ) ) @ ( star @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ),
    inference(cnf,[status(esa)],[star_unfold_right]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
        = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[additive_associativity]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X1 @ X0 ) @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl969,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ ( star @ X0 ) @ ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ X1 ) )
      = ( addition @ ( star @ X0 ) @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl30]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[additive_associativity]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[additive_associativity]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
      = ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl1_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[additive_associativity]) ).

thf(zip_derived_cl25_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
      = ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl1001,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ one @ ( addition @ ( star @ X0 ) @ ( addition @ ( multiplication @ X0 @ ( star @ X0 ) ) @ X1 ) ) )
      = ( addition @ ( star @ X0 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl969,zip_derived_cl1,zip_derived_cl25,zip_derived_cl1,zip_derived_cl25]) ).

thf(zip_derived_cl51216,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( addition @ ( star @ X0 ) @ ( multiplication @ X0 @ ( addition @ ( star @ X0 ) @ one ) ) ) )
      = ( addition @ ( star @ X0 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl157,zip_derived_cl1001]) ).

thf(zip_derived_cl0_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl41_007,plain,
    ! [X0: $i] :
      ( ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

thf(zip_derived_cl5_008,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

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(star_induction_left,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( leq @ ( addition @ ( multiplication @ A @ B ) @ C ) @ B )
     => ( leq @ ( multiplication @ ( star @ A ) @ C ) @ B ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ ( multiplication @ ( star @ X0 ) @ X1 ) @ X2 )
      | ~ ( leq @ ( addition @ ( multiplication @ X0 @ X2 ) @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[star_induction_left]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ ( addition @ zero @ X1 ) @ X0 )
      | ( leq @ ( multiplication @ ( star @ zero ) @ X1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).

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_cl0_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( X0
      = ( addition @ zero @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X1 @ X0 )
      | ( leq @ ( multiplication @ ( star @ zero ) @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl22]) ).

thf(zip_derived_cl398,plain,
    ! [X0: $i] :
      ( ( leq @ ( star @ zero ) @ X0 )
      | ~ ( leq @ one @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl111]) ).

thf(zip_derived_cl11_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
        = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl400,plain,
    ! [X0: $i] :
      ( ~ ( leq @ one @ X0 )
      | ( ( addition @ ( star @ zero ) @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl11]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl402,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ ( star @ zero ) )
        = X0 )
      | ~ ( leq @ one @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl400,zip_derived_cl0]) ).

thf(zip_derived_cl12_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( ( addition @ X0 @ X1 )
       != X1 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl402_013,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ ( star @ zero ) )
        = X0 )
      | ~ ( leq @ one @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl400,zip_derived_cl0]) ).

thf(zip_derived_cl10_014,plain,
    ! [X0: $i] :
      ( ( multiplication @ zero @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[left_annihilation]) ).

thf(zip_derived_cl13_015,plain,
    ! [X0: $i] : ( leq @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ),
    inference(cnf,[status(esa)],[star_unfold_right]) ).

thf(zip_derived_cl43,plain,
    leq @ ( addition @ one @ zero ) @ ( star @ zero ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).

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

thf(zip_derived_cl45,plain,
    leq @ one @ ( star @ zero ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl2]) ).

thf(zip_derived_cl11_017,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
        = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl46,plain,
    ( ( addition @ one @ ( star @ zero ) )
    = ( star @ zero ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl11]) ).

thf(zip_derived_cl493,plain,
    ( ( one
      = ( star @ zero ) )
    | ~ ( leq @ one @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl402,zip_derived_cl46]) ).

thf(zip_derived_cl499,plain,
    ( ( ( addition @ one @ one )
     != one )
    | ( one
      = ( star @ zero ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl493]) ).

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

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[additive_idempotence]) ).

thf(zip_derived_cl501,plain,
    ( ( one != one )
    | ( one
      = ( star @ zero ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl3]) ).

thf(zip_derived_cl502,plain,
    ( one
    = ( star @ zero ) ),
    inference(simplify,[status(thm)],[zip_derived_cl501]) ).

thf(zip_derived_cl524,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ one )
        = X0 )
      | ~ ( leq @ one @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl402,zip_derived_cl502]) ).

thf(zip_derived_cl12_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( ( addition @ X0 @ X1 )
       != X1 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl598,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ one )
        = X0 )
      | ( ( addition @ one @ X0 )
       != X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl524,zip_derived_cl12]) ).

thf(zip_derived_cl30_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X1 @ X0 ) @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl614,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ one @ ( addition @ X0 @ X1 ) )
        = ( addition @ X0 @ X1 ) )
      | ( ( addition @ one @ X0 )
       != X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl598,zip_derived_cl30]) ).

thf(zip_derived_cl43425,plain,
    ! [X0: $i] :
      ( ( ( addition @ one @ ( star @ X0 ) )
        = ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) ) )
      | ( ( addition @ one @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) )
       != ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl614]) ).

thf(zip_derived_cl41_020,plain,
    ! [X0: $i] :
      ( ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

thf(zip_derived_cl3_021,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[additive_idempotence]) ).

thf(zip_derived_cl25_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X2 @ X1 ) )
      = ( addition @ X2 @ ( addition @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ ( addition @ X0 @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl25]) ).

thf(zip_derived_cl0_023,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl43489,plain,
    ! [X0: $i] :
      ( ( ( addition @ one @ ( star @ X0 ) )
        = ( star @ X0 ) )
      | ( ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) )
       != ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl43425,zip_derived_cl41,zip_derived_cl262,zip_derived_cl0]) ).

thf(zip_derived_cl43490,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl43489]) ).

thf(zip_derived_cl41_024,plain,
    ! [X0: $i] :
      ( ( addition @ ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) ) @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

thf(zip_derived_cl30_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X1 @ X0 ) @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl973,plain,
    ! [X0: $i] :
      ( ( addition @ ( multiplication @ X0 @ ( star @ X0 ) ) @ ( addition @ one @ ( star @ X0 ) ) )
      = ( star @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl30]) ).

thf(zip_derived_cl43490_026,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl43489]) ).

thf(zip_derived_cl0_027,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl50044,plain,
    ! [X0: $i] :
      ( ( addition @ ( star @ X0 ) @ ( multiplication @ X0 @ ( star @ X0 ) ) )
      = ( star @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl973,zip_derived_cl43490,zip_derived_cl0]) ).

thf(zip_derived_cl43490_028,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( star @ X0 ) )
      = ( star @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl43489]) ).

thf(zip_derived_cl0_029,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl51300,plain,
    ! [X0: $i] :
      ( ( star @ X0 )
      = ( addition @ X0 @ ( star @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl51216,zip_derived_cl0,zip_derived_cl43490,zip_derived_cl50044,zip_derived_cl43490,zip_derived_cl0]) ).

thf(zip_derived_cl51862,plain,
    ( ( star @ sk_ )
   != ( star @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl51300]) ).

thf(zip_derived_cl51863,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl51862]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE038+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3cqOxhywhB true
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 11:33:20 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.85/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 181.42/26.61  % Solved by fo/fo4.sh.
% 181.42/26.61  % done 4595 iterations in 25.801s
% 181.42/26.61  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 181.42/26.61  % SZS output start Refutation
% See solution above
% 181.42/26.61  
% 181.42/26.61  
% 181.42/26.61  % Terminating...
% 182.45/26.73  % Runner terminated.
% 182.45/26.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------