TSTP Solution File: KLE088+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE088+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.k2w1aAVnby 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 : Thu Aug 31 05:38:36 EDT 2023

% Result   : Theorem 17.14s 3.18s
% Output   : Refutation 17.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   91 (  81 unt;   8 typ;   0 def)
%            Number of atoms       :   85 (  84 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  484 (   4   ~;   0   |;   0   &; 478   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  104 (   0   ^; 104   !;   0   ?; 104   :)

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

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

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

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(goals,conjecture,
    ! [X0: $i,X1: $i] :
      ( ( ( multiplication @ ( domain @ X0 ) @ X1 )
        = zero )
     => ( ( addition @ ( domain @ X0 ) @ ( antidomain @ X1 ) )
        = ( antidomain @ X1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i] :
        ( ( ( multiplication @ ( domain @ X0 ) @ X1 )
          = zero )
       => ( ( addition @ ( domain @ X0 ) @ ( antidomain @ X1 ) )
          = ( antidomain @ X1 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl21,plain,
    ( ( multiplication @ ( domain @ sk_ ) @ sk__1 )
    = zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl51,plain,
    ( ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ sk__1 )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).

thf(domain2,axiom,
    ! [X0: $i,X1: $i] :
      ( ( addition @ ( antidomain @ ( multiplication @ X0 @ X1 ) ) @ ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) )
      = ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ ( antidomain @ ( multiplication @ X0 @ X1 ) ) @ ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) )
      = ( antidomain @ ( multiplication @ X0 @ ( antidomain @ ( antidomain @ X1 ) ) ) ) ),
    inference(cnf,[status(esa)],[domain2]) ).

thf(zip_derived_cl168,plain,
    ( ( addition @ ( antidomain @ zero ) @ ( antidomain @ ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ ( antidomain @ sk__1 ) ) ) ) )
    = ( antidomain @ ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ ( antidomain @ sk__1 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl14]) ).

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(zip_derived_cl5_001,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl33,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('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(zip_derived_cl55,plain,
    ( ( addition @ ( antidomain @ ( antidomain @ one ) ) @ zero )
    = one ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl15]) ).

thf(zip_derived_cl33_002,plain,
    ( zero
    = ( antidomain @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

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_cl57,plain,
    ( ( antidomain @ zero )
    = one ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl33,zip_derived_cl2]) ).

thf(zip_derived_cl185,plain,
    ( ( addition @ one @ ( antidomain @ ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ ( antidomain @ sk__1 ) ) ) ) )
    = ( antidomain @ ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ ( antidomain @ sk__1 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl57]) ).

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(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(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_cl35,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_cl331,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ ( addition @ X0 @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl35]) ).

thf(zip_derived_cl15_003,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

thf(zip_derived_cl585,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ X0 ) @ ( addition @ ( antidomain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) )
      = one ),
    inference('sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl15]) ).

thf(zip_derived_cl15_004,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) )
      = one ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

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_cl622,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( antidomain @ X0 ) )
      = one ),
    inference(demod,[status(thm)],[zip_derived_cl585,zip_derived_cl52,zip_derived_cl0]) ).

thf(zip_derived_cl690,plain,
    ( one
    = ( antidomain @ ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ ( antidomain @ sk__1 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl622]) ).

thf(zip_derived_cl13_007,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[domain1]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
      = ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[multiplicative_associativity]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ ( antidomain @ X1 ) @ ( multiplication @ X1 @ X0 ) )
      = ( multiplication @ zero @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).

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_cl91,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ ( antidomain @ X1 ) @ ( multiplication @ X1 @ X0 ) )
      = zero ),
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl10]) ).

thf(zip_derived_cl712,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ ( multiplication @ ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ ( antidomain @ sk__1 ) ) ) @ X0 ) )
      = zero ),
    inference('sup+',[status(thm)],[zip_derived_cl690,zip_derived_cl91]) ).

thf(zip_derived_cl4_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( multiplication @ X1 @ X2 ) )
      = ( multiplication @ ( multiplication @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[multiplicative_associativity]) ).

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_cl722,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( multiplication @ ( antidomain @ ( antidomain @ sk__1 ) ) @ X0 ) )
      = zero ),
    inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl731,plain,
    ( ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ ( antidomain @ sk__1 ) ) )
    = zero ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl722]) ).

thf(zip_derived_cl15_009,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

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_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ X1 @ one )
      = ( addition @ ( multiplication @ X1 @ ( antidomain @ ( antidomain @ X0 ) ) ) @ ( multiplication @ X1 @ ( antidomain @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl7]) ).

thf(zip_derived_cl5_010,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i] :
      ( X1
      = ( addition @ ( multiplication @ X1 @ ( antidomain @ ( antidomain @ X0 ) ) ) @ ( multiplication @ X1 @ ( antidomain @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl5]) ).

thf(zip_derived_cl3214,plain,
    ( ( antidomain @ ( antidomain @ sk_ ) )
    = ( addition @ zero @ ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ sk__1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl116]) ).

thf(zip_derived_cl2_011,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( X0
      = ( addition @ zero @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3267,plain,
    ( ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ sk__1 ) )
    = ( antidomain @ ( antidomain @ sk_ ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3214,zip_derived_cl27]) ).

thf(zip_derived_cl15_013,plain,
    ! [X0: $i] :
      ( ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( antidomain @ X0 ) )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ ( addition @ X0 @ X2 ) @ X1 )
      = ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[left_distributivity]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ one @ X0 )
      = ( addition @ ( multiplication @ ( antidomain @ ( antidomain @ X1 ) ) @ X0 ) @ ( multiplication @ ( antidomain @ X1 ) @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl8]) ).

thf(zip_derived_cl6_014,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

thf(zip_derived_cl137,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( addition @ ( multiplication @ ( antidomain @ ( antidomain @ X1 ) ) @ X0 ) @ ( multiplication @ ( antidomain @ X1 ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl6]) ).

thf(zip_derived_cl4231,plain,
    ( ( antidomain @ sk__1 )
    = ( addition @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( multiplication @ ( antidomain @ sk_ ) @ ( antidomain @ sk__1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3267,zip_derived_cl137]) ).

thf(zip_derived_cl3_015,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[additive_idempotence]) ).

thf(zip_derived_cl1_016,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_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
      = ( addition @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl8387,plain,
    ( ( addition @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ sk__1 ) )
    = ( addition @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( multiplication @ ( antidomain @ sk_ ) @ ( antidomain @ sk__1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4231,zip_derived_cl42]) ).

thf(zip_derived_cl0_017,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl4231_018,plain,
    ( ( antidomain @ sk__1 )
    = ( addition @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( multiplication @ ( antidomain @ sk_ ) @ ( antidomain @ sk__1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3267,zip_derived_cl137]) ).

thf(zip_derived_cl8405,plain,
    ( ( addition @ ( antidomain @ sk__1 ) @ ( antidomain @ ( antidomain @ sk_ ) ) )
    = ( antidomain @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8387,zip_derived_cl0,zip_derived_cl4231]) ).

thf(zip_derived_cl22,plain,
    ( ( addition @ ( domain @ sk_ ) @ ( antidomain @ sk__1 ) )
   != ( antidomain @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16_019,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl25,plain,
    ( ( addition @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ sk__1 ) )
   != ( antidomain @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl16]) ).

thf(zip_derived_cl0_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl26,plain,
    ( ( addition @ ( antidomain @ sk__1 ) @ ( antidomain @ ( antidomain @ sk_ ) ) )
   != ( antidomain @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl0]) ).

thf(zip_derived_cl8406,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl8405,zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : KLE088+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k2w1aAVnby true
% 0.13/0.35  % Computer : n018.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 : Tue Aug 29 11:20:17 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.33/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.33/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.33/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.33/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.33/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.33/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.14/3.18  % Solved by fo/fo3_bce.sh.
% 17.14/3.18  % BCE start: 23
% 17.14/3.18  % BCE eliminated: 2
% 17.14/3.18  % PE start: 21
% 17.14/3.18  logic: eq
% 17.14/3.18  % PE eliminated: 0
% 17.14/3.18  % done 557 iterations in 2.403s
% 17.14/3.18  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.14/3.18  % SZS output start Refutation
% See solution above
% 17.14/3.18  
% 17.14/3.18  
% 17.14/3.18  % Terminating...
% 18.11/3.26  % Runner terminated.
% 18.11/3.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------