TSTP Solution File: KLE080+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : KLE080+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.n06ItEdCll 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 : Thu Aug 31 05:38:35 EDT 2023
% Result : Theorem 109.40s 16.40s
% Output : Refutation 109.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 22
% Syntax : Number of formulae : 207 ( 198 unt; 7 typ; 0 def)
% Number of atoms : 204 ( 203 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1187 ( 3 ~; 0 |; 2 &;1180 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 264 ( 0 ^; 264 !; 0 ?; 264 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiplication_type,type,
multiplication: $i > $i > $i ).
thf(antidomain_type,type,
antidomain: $i > $i ).
thf(one_type,type,
one: $i ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(domain_type,type,
domain: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(zero_type,type,
zero: $i ).
thf(goals,conjecture,
! [X0: $i] :
( ! [X1: $i] :
( ( ( multiplication @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= zero )
& ( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ) )
=> ( ( antidomain @ ( antidomain @ X0 ) )
= ( domain @ X0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ! [X1: $i] :
( ( ( multiplication @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= zero )
& ( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ) )
=> ( ( antidomain @ ( antidomain @ X0 ) )
= ( domain @ X0 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl18,plain,
( ( antidomain @ ( antidomain @ sk_ ) )
!= ( domain @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
! [X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(domain5,axiom,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
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_cl104,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ ( domain @ X0 ) ) @ ( antidomain @ X0 ) )
= ( addition @ ( multiplication @ X1 @ ( antidomain @ X0 ) ) @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl8]) ).
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_cl114,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( addition @ X1 @ ( domain @ X0 ) ) @ ( antidomain @ X0 ) )
= ( multiplication @ X1 @ ( antidomain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl2]) ).
thf(zip_derived_cl297,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( addition @ X1 @ X0 ) ) @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( antidomain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl114]) ).
thf(zip_derived_cl391,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ one ) @ ( antidomain @ ( antidomain @ X0 ) ) )
= ( multiplication @ ( domain @ ( domain @ X0 ) ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl297]) ).
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(domain1,axiom,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl128,plain,
( ( addition @ one @ ( domain @ one ) )
= ( domain @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(domain3,axiom,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( addition @ ( domain @ X0 ) @ one )
= one ),
inference(cnf,[status(esa)],[domain3]) ).
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_cl25,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl130,plain,
( one
= ( domain @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl25]) ).
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_cl6_001,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(domain2,axiom,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl140,plain,
! [X0: $i] :
( ( domain @ ( multiplication @ one @ X0 ) )
= ( domain @ ( domain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl6]) ).
thf(zip_derived_cl402,plain,
! [X0: $i] :
( ( antidomain @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl130,zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl20_003,plain,
! [X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl402_004,plain,
! [X0: $i] :
( ( antidomain @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl130,zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl14_005,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl19_006,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl88,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X1 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( addition @ zero @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl7]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X1 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl40]) ).
thf(zip_derived_cl226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( addition @ ( antidomain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) @ X2 ) )
= ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl92]) ).
thf(zip_derived_cl1348,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ ( addition @ ( antidomain @ ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ) ) @ X1 ) )
= ( multiplication @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl402,zip_derived_cl226]) ).
thf(domain4,axiom,
( ( domain @ zero )
= zero ) ).
thf(zip_derived_cl16,plain,
( ( domain @ zero )
= zero ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl20_009,plain,
! [X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
( ( addition @ zero @ ( antidomain @ zero ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).
thf(zip_derived_cl40_010,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl124,plain,
( one
= ( antidomain @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl40]) ).
thf(zip_derived_cl0_011,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_cl34,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
= ( addition @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl661,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl34]) ).
thf(zip_derived_cl297_012,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( addition @ X1 @ X0 ) ) @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( antidomain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl114]) ).
thf(zip_derived_cl1069,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( addition @ X1 @ X0 ) ) @ ( antidomain @ ( addition @ X1 @ X0 ) ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( addition @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl661,zip_derived_cl297]) ).
thf(zip_derived_cl19_013,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1101,plain,
! [X0: $i,X1: $i] :
( zero
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( addition @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1069,zip_derived_cl19]) ).
thf(zip_derived_cl20_014,plain,
! [X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl121,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( addition @ one @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
thf(zip_derived_cl297_016,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( addition @ X1 @ X0 ) ) @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( antidomain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl114]) ).
thf(zip_derived_cl407,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( addition @ one @ X0 ) ) @ ( antidomain @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) )
= ( multiplication @ ( domain @ ( domain @ X1 ) ) @ ( antidomain @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl121,zip_derived_cl297]) ).
thf(zip_derived_cl130_017,plain,
( one
= ( domain @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl25]) ).
thf(zip_derived_cl17_018,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl184,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= ( addition @ one @ ( domain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl17]) ).
thf(zip_derived_cl25_019,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl25]) ).
thf(zip_derived_cl6_020,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl145_021,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl6]) ).
thf(zip_derived_cl428,plain,
! [X0: $i,X1: $i] :
( ( antidomain @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( antidomain @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl407,zip_derived_cl192,zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl7324,plain,
! [X0: $i] :
( ( antidomain @ ( addition @ ( antidomain @ X0 ) @ X0 ) )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl1101,zip_derived_cl428]) ).
thf(zip_derived_cl0_022,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl7439,plain,
! [X0: $i] :
( ( antidomain @ ( addition @ X0 @ ( antidomain @ X0 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl7324,zip_derived_cl0]) ).
thf(zip_derived_cl402_023,plain,
! [X0: $i] :
( ( antidomain @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl130,zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl7669,plain,
! [X0: $i] :
( ( antidomain @ zero )
= ( multiplication @ ( domain @ ( addition @ X0 @ ( antidomain @ X0 ) ) ) @ ( antidomain @ zero ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7439,zip_derived_cl402]) ).
thf(zip_derived_cl124_024,plain,
( one
= ( antidomain @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl40]) ).
thf(zip_derived_cl124_025,plain,
( one
= ( antidomain @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl40]) ).
thf(zip_derived_cl5_026,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl7743,plain,
! [X0: $i] :
( one
= ( domain @ ( addition @ X0 @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7669,zip_derived_cl124,zip_derived_cl124,zip_derived_cl5]) ).
thf(zip_derived_cl92_027,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X1 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl40]) ).
thf(zip_derived_cl14_028,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl20_029,plain,
! [X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( antidomain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl20]) ).
thf(zip_derived_cl549,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) @ ( antidomain @ ( multiplication @ ( domain @ X1 ) @ ( domain @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl137]) ).
thf(zip_derived_cl10897,plain,
! [X0: $i] :
( ( addition @ ( domain @ ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ) @ ( antidomain @ ( multiplication @ ( domain @ X0 ) @ one ) ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl7743,zip_derived_cl549]) ).
thf(zip_derived_cl402_030,plain,
! [X0: $i] :
( ( antidomain @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl130,zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl5_031,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i,X1: $i] :
( ( addition @ X1 @ X0 )
= ( addition @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[additive_commutativity]) ).
thf(zip_derived_cl11003,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( domain @ X0 ) ) @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl10897,zip_derived_cl402,zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl92_033,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X1 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl40]) ).
thf(zip_derived_cl8_034,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_cl216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( addition @ ( domain @ X1 ) @ X2 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( addition @ ( multiplication @ ( domain @ X1 ) @ X0 ) @ ( multiplication @ X2 @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl8]) ).
thf(zip_derived_cl297_035,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( addition @ X1 @ X0 ) ) @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( antidomain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl114]) ).
thf(zip_derived_cl1110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( domain @ ( multiplication @ ( addition @ ( domain @ X1 ) @ X2 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) @ ( antidomain @ ( multiplication @ X2 @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) )
= ( multiplication @ ( domain @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) @ ( antidomain @ ( multiplication @ X2 @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl297]) ).
thf(zip_derived_cl40859,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( multiplication @ ( addition @ ( domain @ ( domain @ X0 ) ) @ X1 ) @ one ) ) @ ( antidomain @ ( multiplication @ X1 @ one ) ) )
= ( multiplication @ ( domain @ ( multiplication @ ( domain @ ( domain @ X0 ) ) @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ) ) @ ( antidomain @ ( multiplication @ X1 @ one ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11003,zip_derived_cl1110]) ).
thf(zip_derived_cl145_036,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl6]) ).
thf(zip_derived_cl5_037,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl145_038,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl6]) ).
thf(zip_derived_cl17_039,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ ( domain @ X0 ) @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl17]) ).
thf(zip_derived_cl17_040,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ X0 @ X1 ) )
= ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
inference(cnf,[status(esa)],[domain5]) ).
thf(zip_derived_cl180,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( addition @ ( domain @ X0 ) @ X1 ) )
= ( domain @ ( addition @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl17]) ).
thf(zip_derived_cl5_041,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl297_042,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ ( addition @ X1 @ X0 ) ) @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X1 ) @ ( antidomain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl114]) ).
thf(zip_derived_cl145_043,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl6]) ).
thf(zip_derived_cl14_044,plain,
! [X0: $i,X1: $i] :
( ( domain @ ( multiplication @ X0 @ X1 ) )
= ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
inference(cnf,[status(esa)],[domain2]) ).
thf(zip_derived_cl402_045,plain,
! [X0: $i] :
( ( antidomain @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl130,zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl5_046,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl41004,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X1 ) )
= ( multiplication @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ ( antidomain @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40859,zip_derived_cl145,zip_derived_cl5,zip_derived_cl180,zip_derived_cl5,zip_derived_cl297,zip_derived_cl145,zip_derived_cl14,zip_derived_cl402,zip_derived_cl5]) ).
thf(zip_derived_cl41242,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ one )
= ( multiplication @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl41004]) ).
thf(zip_derived_cl5_047,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl41278,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( multiplication @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl41242,zip_derived_cl5]) ).
thf(zip_derived_cl5_048,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl44002,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41278,zip_derived_cl5]) ).
thf(zip_derived_cl44002_049,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41278,zip_derived_cl5]) ).
thf(zip_derived_cl20_050,plain,
! [X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( antidomain @ X1 ) )
= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_051,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_052,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_cl89,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( addition @ X1 @ ( antidomain @ X0 ) ) )
= ( addition @ ( multiplication @ ( domain @ X0 ) @ X1 ) @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl7]) ).
thf(zip_derived_cl2_053,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( addition @ X1 @ ( antidomain @ X0 ) ) )
= ( multiplication @ ( domain @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl2]) ).
thf(zip_derived_cl267,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ one )
= ( multiplication @ ( domain @ X0 ) @ ( domain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl93]) ).
thf(zip_derived_cl5_054,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl276,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( multiplication @ ( domain @ X0 ) @ ( domain @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl5]) ).
thf(zip_derived_cl44002_055,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41278,zip_derived_cl5]) ).
thf(zip_derived_cl44002_056,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41278,zip_derived_cl5]) ).
thf(zip_derived_cl661_057,plain,
! [X0: $i,X1: $i] :
( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
= ( addition @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl34]) ).
thf(zip_derived_cl121_058,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ X1 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( addition @ one @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
thf(zip_derived_cl1078,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= ( addition @ one @ ( domain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl661,zip_derived_cl121]) ).
thf(zip_derived_cl25_059,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl1106,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ X0 ) @ ( domain @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl1078,zip_derived_cl25]) ).
thf(zip_derived_cl44416,plain,
! [X0: $i] :
( ( addition @ ( antidomain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl44002,zip_derived_cl1106]) ).
thf(zip_derived_cl402_060,plain,
! [X0: $i] :
( ( antidomain @ ( antidomain @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl130,zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl7_061,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_cl511,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ X1 ) )
= ( addition @ ( antidomain @ ( antidomain @ X0 ) ) @ ( multiplication @ ( domain @ X0 ) @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl402,zip_derived_cl7]) ).
thf(zip_derived_cl64456,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ ( antidomain @ X0 ) ) @ one )
= ( addition @ ( antidomain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ ( multiplication @ ( domain @ ( antidomain @ X0 ) ) @ ( domain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl44416,zip_derived_cl511]) ).
thf(zip_derived_cl5_062,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl44002_063,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41278,zip_derived_cl5]) ).
thf(zip_derived_cl19_064,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl137_065,plain,
! [X0: $i,X1: $i] :
( ( addition @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( antidomain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl20]) ).
thf(zip_derived_cl552,plain,
! [X0: $i] :
( ( addition @ ( domain @ zero ) @ ( antidomain @ ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ X0 ) ) ) ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl137]) ).
thf(zip_derived_cl16_066,plain,
( ( domain @ zero )
= zero ),
inference(cnf,[status(esa)],[domain4]) ).
thf(zip_derived_cl40_067,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl571,plain,
! [X0: $i] :
( ( antidomain @ ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ X0 ) ) ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl16,zip_derived_cl40]) ).
thf(zip_derived_cl41278_068,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( multiplication @ ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl41242,zip_derived_cl5]) ).
thf(zip_derived_cl44042,plain,
! [X0: $i] :
( ( domain @ ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ X0 ) ) ) )
= ( multiplication @ ( domain @ ( antidomain @ one ) ) @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl571,zip_derived_cl41278]) ).
thf(zip_derived_cl130_069,plain,
( one
= ( domain @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl25]) ).
thf(zip_derived_cl19_070,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ( multiplication @ one @ ( antidomain @ one ) )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl19]) ).
thf(zip_derived_cl6_071,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl242,plain,
( zero
= ( antidomain @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl6]) ).
thf(zip_derived_cl16_072,plain,
( ( domain @ zero )
= zero ),
inference(cnf,[status(esa)],[domain4]) ).
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_cl44060,plain,
! [X0: $i] :
( ( domain @ ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ X0 ) ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl44042,zip_derived_cl242,zip_derived_cl16,zip_derived_cl10]) ).
thf(zip_derived_cl192_073,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl25]) ).
thf(zip_derived_cl19_074,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( antidomain @ X0 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl316,plain,
! [X0: $i] :
( ( multiplication @ one @ ( antidomain @ ( addition @ one @ X0 ) ) )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl19]) ).
thf(zip_derived_cl6_075,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl967,plain,
! [X0: $i] :
( zero
= ( antidomain @ ( addition @ one @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl6]) ).
thf(zip_derived_cl216_076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( addition @ ( domain @ X1 ) @ X2 ) @ ( addition @ ( antidomain @ X1 ) @ X0 ) )
= ( addition @ ( multiplication @ ( domain @ X1 ) @ X0 ) @ ( multiplication @ X2 @ ( addition @ ( antidomain @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl8]) ).
thf(zip_derived_cl1128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiplication @ ( addition @ ( domain @ ( addition @ one @ X1 ) ) @ X2 ) @ ( addition @ zero @ X0 ) )
= ( addition @ ( multiplication @ ( domain @ ( addition @ one @ X1 ) ) @ X0 ) @ ( multiplication @ X2 @ ( addition @ zero @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl967,zip_derived_cl216]) ).
thf(zip_derived_cl192_077,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl25]) ).
thf(zip_derived_cl40_078,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl192_079,plain,
! [X0: $i] :
( ( domain @ ( addition @ one @ X0 ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl25]) ).
thf(zip_derived_cl6_080,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl40_081,plain,
! [X0: $i] :
( ( addition @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl1161,plain,
! [X0: $i,X2: $i] :
( ( multiplication @ ( addition @ one @ X2 ) @ X0 )
= ( addition @ X0 @ ( multiplication @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1128,zip_derived_cl192,zip_derived_cl40,zip_derived_cl192,zip_derived_cl6,zip_derived_cl40]) ).
thf(zip_derived_cl13_082,plain,
! [X0: $i] :
( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[domain1]) ).
thf(zip_derived_cl46463,plain,
! [X0: $i] :
( ( multiplication @ ( addition @ one @ ( domain @ X0 ) ) @ X0 )
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1161,zip_derived_cl13]) ).
thf(zip_derived_cl25_083,plain,
! [X0: $i] :
( ( addition @ one @ ( domain @ X0 ) )
= one ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).
thf(zip_derived_cl6_084,plain,
! [X0: $i] :
( ( multiplication @ one @ X0 )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_left_identity]) ).
thf(zip_derived_cl46857,plain,
! [X0: $i] :
( X0
= ( multiplication @ ( domain @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl46463,zip_derived_cl25,zip_derived_cl6]) ).
thf(zip_derived_cl57474,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ X0 ) ) )
= ( multiplication @ zero @ ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl44060,zip_derived_cl46857]) ).
thf(zip_derived_cl10_085,plain,
! [X0: $i] :
( ( multiplication @ zero @ X0 )
= zero ),
inference(cnf,[status(esa)],[left_annihilation]) ).
thf(zip_derived_cl57842,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( domain @ ( antidomain @ X0 ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl57474,zip_derived_cl10]) ).
thf(zip_derived_cl59591,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ ( antidomain @ X0 ) ) @ ( domain @ X0 ) )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl44002,zip_derived_cl57842]) ).
thf(zip_derived_cl2_086,plain,
! [X0: $i] :
( ( addition @ X0 @ zero )
= X0 ),
inference(cnf,[status(esa)],[additive_identity]) ).
thf(zip_derived_cl64635,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl64456,zip_derived_cl5,zip_derived_cl59591,zip_derived_cl2]) ).
thf(zip_derived_cl64635_087,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl64456,zip_derived_cl5,zip_derived_cl59591,zip_derived_cl2]) ).
thf(zip_derived_cl64878,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ ( antidomain @ X0 ) ) )
= ( antidomain @ ( domain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl64635,zip_derived_cl64635]) ).
thf(zip_derived_cl44002_088,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41278,zip_derived_cl5]) ).
thf(zip_derived_cl64897,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( antidomain @ ( domain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl64878,zip_derived_cl44002]) ).
thf(zip_derived_cl65604,plain,
! [X0: $i] :
( ( domain @ ( antidomain @ X0 ) )
= ( antidomain @ ( domain @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl44002,zip_derived_cl64897]) ).
thf(zip_derived_cl44002_089,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( domain @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41278,zip_derived_cl5]) ).
thf(zip_derived_cl76074,plain,
! [X0: $i,X1: $i] :
( ( multiplication @ ( domain @ X0 ) @ ( addition @ ( domain @ ( antidomain @ X0 ) ) @ X1 ) )
= ( multiplication @ ( domain @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1348,zip_derived_cl44002,zip_derived_cl44002,zip_derived_cl276,zip_derived_cl65604,zip_derived_cl44002]) ).
thf(zip_derived_cl76229,plain,
! [X0: $i] :
( ( multiplication @ ( domain @ X0 ) @ one )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl76074]) ).
thf(zip_derived_cl5_090,plain,
! [X0: $i] :
( ( multiplication @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[multiplicative_right_identity]) ).
thf(zip_derived_cl76276,plain,
! [X0: $i] :
( ( domain @ X0 )
= ( multiplication @ ( domain @ X0 ) @ ( antidomain @ ( antidomain @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl76229,zip_derived_cl5]) ).
thf(zip_derived_cl76990,plain,
! [X0: $i] :
( ( antidomain @ ( antidomain @ X0 ) )
= ( domain @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl402,zip_derived_cl76276]) ).
thf(zip_derived_cl77915,plain,
( ( domain @ sk_ )
!= ( domain @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl76990]) ).
thf(zip_derived_cl77916,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl77915]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE080+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n06ItEdCll true
% 0.13/0.35 % Computer : n026.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 11:44:05 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 109.40/16.40 % Solved by fo/fo6_bce.sh.
% 109.40/16.40 % BCE start: 21
% 109.40/16.40 % BCE eliminated: 2
% 109.40/16.40 % PE start: 19
% 109.40/16.40 logic: eq
% 109.40/16.40 % PE eliminated: 0
% 109.40/16.40 % done 1588 iterations in 15.634s
% 109.40/16.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 109.40/16.40 % SZS output start Refutation
% See solution above
% 109.40/16.40
% 109.40/16.40
% 109.40/16.40 % Terminating...
% 110.16/16.50 % Runner terminated.
% 110.16/16.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------