TSTP Solution File: KLE010+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE010+3 : 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.x12V8BBV7S true

% Computer : n008.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 05:38:16 EDT 2023

% Result   : Theorem 92.19s 13.82s
% Output   : Refutation 92.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   93 (  57 unt;  10 typ;   0 def)
%            Number of atoms       :  115 (  75 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  577 (  36   ~;  22   |;   4   &; 509   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  124 (   0   ^; 124   !;   0   ?; 124   :)

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

thf(c_type,type,
    c: $i > $i ).

thf(complement_type,type,
    complement: $i > $i > $o ).

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

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

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

thf(test_type,type,
    test: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

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

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

thf(test_3,axiom,
    ! [X0: $i,X1: $i] :
      ( ( test @ X0 )
     => ( ( ( c @ X0 )
          = X1 )
      <=> ( complement @ X0 @ X1 ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( test @ X0 )
      | ( complement @ X0 @ X1 )
      | ( ( c @ X0 )
       != X1 ) ),
    inference(cnf,[status(esa)],[test_3]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( complement @ X0 @ ( c @ X0 ) )
      | ~ ( test @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl20]) ).

thf(test_2,axiom,
    ! [X0: $i,X1: $i] :
      ( ( complement @ X1 @ X0 )
    <=> ( ( ( multiplication @ X0 @ X1 )
          = zero )
        & ( ( multiplication @ X1 @ X0 )
          = zero )
        & ( ( addition @ X0 @ X1 )
          = one ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X0 @ X1 )
        = one )
      | ~ ( complement @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[test_2]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i] :
      ( ~ ( test @ X0 )
      | ( ( addition @ ( c @ X0 ) @ X0 )
        = one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl17]) ).

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_cl396,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ ( c @ X0 ) )
        = one )
      | ~ ( test @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl0]) ).

thf(zip_derived_cl272_001,plain,
    ! [X0: $i] :
      ( ~ ( test @ X0 )
      | ( ( addition @ ( c @ X0 ) @ X0 )
        = one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl17]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

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(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
      = ( addition @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

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(zip_derived_cl147,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
       != ( addition @ X1 @ X0 ) )
      | ( leq @ X1 @ ( addition @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl12]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i] : ( leq @ X1 @ ( addition @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl147]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i] : ( leq @ X0 @ ( addition @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl168]) ).

thf(zip_derived_cl405,plain,
    ! [X0: $i] :
      ( ( leq @ X0 @ one )
      | ~ ( test @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl172]) ).

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

thf(zip_derived_cl426,plain,
    ! [X0: $i] :
      ( ~ ( test @ X0 )
      | ( ( addition @ X0 @ one )
        = one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl11]) ).

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_cl458,plain,
    ! [X0: $i] :
      ( ( ( addition @ one @ X0 )
        = one )
      | ~ ( test @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl0]) ).

thf(zip_derived_cl458_004,plain,
    ! [X0: $i] :
      ( ( ( addition @ one @ X0 )
        = one )
      | ~ ( test @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl0]) ).

thf(zip_derived_cl272_005,plain,
    ! [X0: $i] :
      ( ~ ( test @ X0 )
      | ( ( addition @ ( c @ X0 ) @ X0 )
        = one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl17]) ).

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_cl52_007,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_cl152,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
      = ( addition @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl52]) ).

thf(zip_derived_cl559,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ one )
        = ( addition @ X0 @ ( c @ X0 ) ) )
      | ~ ( test @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl152]) ).

thf(zip_derived_cl396_008,plain,
    ! [X0: $i] :
      ( ( ( addition @ X0 @ ( c @ X0 ) )
        = one )
      | ~ ( test @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl0]) ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i] :
      ( ( ( test @ X1 )
        & ( test @ X0 ) )
     => ( one
        = ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ X1 @ X0 ) @ ( multiplication @ ( c @ X1 ) @ X0 ) ) @ ( multiplication @ X0 @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ X1 ) ) @ ( multiplication @ ( c @ X0 ) @ ( c @ X1 ) ) ) ) ) ).

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

thf(zip_derived_cl24,plain,
    ( one
   != ( addition @ ( addition @ ( addition @ ( addition @ ( multiplication @ sk__2 @ sk__1 ) @ ( multiplication @ ( c @ sk__2 ) @ sk__1 ) ) @ ( multiplication @ sk__1 @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) ) @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1_010,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_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl1_012,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_013,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_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl226,plain,
    ( one
   != ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ sk__2 ) @ ( addition @ ( multiplication @ ( c @ sk__1 ) @ ( c @ sk__2 ) ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl8,zip_derived_cl0,zip_derived_cl1,zip_derived_cl0,zip_derived_cl1,zip_derived_cl1,zip_derived_cl0]) ).

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_cl1_015,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_cl118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( addition @ ( multiplication @ X2 @ X1 ) @ ( addition @ ( multiplication @ X2 @ X0 ) @ X3 ) )
      = ( addition @ ( multiplication @ X2 @ ( addition @ X1 @ X0 ) ) @ X3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl2710,plain,
    ( one
   != ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ ( addition @ sk__2 @ ( c @ sk__2 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl118,zip_derived_cl0]) ).

thf(zip_derived_cl2825,plain,
    ( ( one
     != ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( addition @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) @ ( multiplication @ ( c @ sk__1 ) @ one ) ) ) )
    | ~ ( test @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl2710]) ).

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_cl0_017,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl1_018,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_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl44,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_cl0_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl25,plain,
    test @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2830,plain,
    ( one
   != ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ ( c @ sk__2 ) ) @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2825,zip_derived_cl5,zip_derived_cl0,zip_derived_cl44,zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl40859,plain,
    ( ( one
     != ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ sk__2 @ one ) @ sk__1 ) ) ) )
    | ~ ( test @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl2830]) ).

thf(zip_derived_cl0_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl25_022,plain,
    test @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41009,plain,
    ( one
   != ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ ( addition @ one @ sk__2 ) @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl40859,zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl41487,plain,
    ( ( one
     != ( addition @ ( c @ sk__1 ) @ ( addition @ ( multiplication @ sk__1 @ sk__2 ) @ ( multiplication @ one @ sk__1 ) ) ) )
    | ~ ( test @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl41009]) ).

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_cl5_023,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl7_024,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_cl125,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(zip_derived_cl0_025,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl25_026,plain,
    test @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41489,plain,
    ( one
   != ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ ( addition @ one @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl41487,zip_derived_cl6,zip_derived_cl125,zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl41491,plain,
    ( ( one
     != ( addition @ ( c @ sk__1 ) @ ( multiplication @ sk__1 @ one ) ) )
    | ~ ( test @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl41489]) ).

thf(zip_derived_cl5_027,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl0_028,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl25_029,plain,
    test @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41493,plain,
    ( one
   != ( addition @ sk__1 @ ( c @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl41491,zip_derived_cl5,zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl41495,plain,
    ( ( one != one )
    | ~ ( test @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl41493]) ).

thf(zip_derived_cl26,plain,
    test @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41498,plain,
    one != one,
    inference(demod,[status(thm)],[zip_derived_cl41495,zip_derived_cl26]) ).

thf(zip_derived_cl41499,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl41498]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KLE010+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.x12V8BBV7S true
% 0.17/0.35  % Computer : n008.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Tue Aug 29 12:35:32 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.17/0.36  % Running portfolio for 300 s
% 0.17/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 92.19/13.82  % Solved by fo/fo5.sh.
% 92.19/13.82  % done 2921 iterations in 13.026s
% 92.19/13.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 92.19/13.82  % SZS output start Refutation
% See solution above
% 92.19/13.82  
% 92.19/13.82  
% 92.19/13.82  % Terminating...
% 92.19/13.90  % Runner terminated.
% 92.19/13.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------