TSTP Solution File: REL007+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL007+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.zE00g9Fbey true
% Computer : n012.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 13:47:03 EDT 2023
% Result : Theorem 14.23s 2.60s
% Output : Refutation 14.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 22
% Syntax : Number of formulae : 257 ( 245 unt; 10 typ; 0 def)
% Number of atoms : 249 ( 248 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1199 ( 3 ~; 0 |; 0 &;1194 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 285 ( 0 ^; 285 !; 0 ?; 285 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(join_type,type,
join: $i > $i > $i ).
thf(converse_type,type,
converse: $i > $i ).
thf(meet_type,type,
meet: $i > $i > $i ).
thf(top_type,type,
top: $i ).
thf(zero_type,type,
zero: $i ).
thf(composition_type,type,
composition: $i > $i > $i ).
thf(complement_type,type,
complement: $i > $i ).
thf(one_type,type,
one: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(composition_identity,axiom,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(converse_idempotence,axiom,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(converse_multiplicativity,axiom,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X0 @ X1 ) )
= ( composition @ ( converse @ X1 ) @ ( converse @ X0 ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X1 @ X0 ) )
= ( composition @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_multiplicativity]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ ( converse @ X0 ) @ X1 ) )
= ( composition @ ( converse @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl7]) ).
thf(zip_derived_cl130_002,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl7]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl132,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl5]) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( X0
= ( composition @ one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl132]) ).
thf(converse_cancellativity,axiom,
! [X0: $i,X1: $i] :
( ( join @ ( composition @ ( converse @ X0 ) @ ( complement @ ( composition @ X0 @ X1 ) ) ) @ ( complement @ X1 ) )
= ( complement @ X1 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( join @ ( composition @ ( converse @ X1 ) @ ( complement @ ( composition @ X1 @ X0 ) ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(cnf,[status(esa)],[converse_cancellativity]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl10]) ).
thf(zip_derived_cl132_004,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl5]) ).
thf(zip_derived_cl136_005,plain,
! [X0: $i] :
( X0
= ( composition @ one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl132]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl132,zip_derived_cl136]) ).
thf(maddux4_definiton_of_meet,axiom,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl3942,plain,
! [X0: $i] :
( ( meet @ X0 @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl3]) ).
thf(maddux3_a_kind_of_de_Morgan,axiom,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux3_a_kind_of_de_Morgan]) ).
thf(zip_derived_cl3_006,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl3977,plain,
! [X0: $i] :
( X0
= ( join @ ( complement @ ( complement @ X0 ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3942,zip_derived_cl207]) ).
thf(maddux1_join_commutativity,axiom,
! [X0: $i,X1: $i] :
( ( join @ X0 @ X1 )
= ( join @ X1 @ X0 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(def_top,axiom,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl11_007,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl3_008,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( meet @ X0 @ ( complement @ X0 ) )
= ( complement @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(def_zero,axiom,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl175,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl3989,plain,
! [X0: $i] :
( X0
= ( join @ ( complement @ ( complement @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl3977,zip_derived_cl0,zip_derived_cl11,zip_derived_cl175]) ).
thf(zip_derived_cl207_009,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl4965,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ ( meet @ ( complement @ X0 ) @ zero ) @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3989,zip_derived_cl207]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl175_011,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl3_012,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl225,plain,
! [X0: $i] :
( ( meet @ top @ X0 )
= ( complement @ ( join @ zero @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl3]) ).
thf(zip_derived_cl655,plain,
! [X0: $i] :
( ( meet @ top @ X0 )
= ( complement @ ( join @ ( complement @ X0 ) @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl225]) ).
thf(zip_derived_cl175_013,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl3_014,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] :
( ( meet @ X0 @ top )
= ( complement @ ( join @ ( complement @ X0 ) @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl3]) ).
thf(zip_derived_cl1890,plain,
! [X0: $i] :
( ( meet @ X0 @ top )
= ( meet @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl231]) ).
thf(zip_derived_cl175_015,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl12_016,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl228,plain,
( zero
= ( meet @ top @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl12]) ).
thf(zip_derived_cl1922,plain,
( zero
= ( meet @ zero @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl1890,zip_derived_cl228]) ).
thf(zip_derived_cl231_017,plain,
! [X0: $i] :
( ( meet @ X0 @ top )
= ( complement @ ( join @ ( complement @ X0 ) @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl3]) ).
thf(zip_derived_cl207_018,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl863,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ zero ) @ ( meet @ X0 @ top ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl207]) ).
thf(zip_derived_cl2021,plain,
( zero
= ( join @ ( meet @ zero @ zero ) @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl1922,zip_derived_cl863]) ).
thf(zip_derived_cl3942_019,plain,
! [X0: $i] :
( ( meet @ X0 @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl3]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl3974,plain,
( zero
= ( join @ zero @ ( complement @ ( complement @ zero ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2021,zip_derived_cl3942,zip_derived_cl0]) ).
thf(zip_derived_cl225_021,plain,
! [X0: $i] :
( ( meet @ top @ X0 )
= ( complement @ ( join @ zero @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl3]) ).
thf(zip_derived_cl4077,plain,
( ( meet @ top @ ( complement @ zero ) )
= ( complement @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl3974,zip_derived_cl225]) ).
thf(zip_derived_cl1890_022,plain,
! [X0: $i] :
( ( meet @ X0 @ top )
= ( meet @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl231]) ).
thf(zip_derived_cl203_023,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl132,zip_derived_cl136]) ).
thf(zip_derived_cl11_024,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(maddux2_join_associativity,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl3935,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl31]) ).
thf(zip_derived_cl11_025,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl3963,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl3935,zip_derived_cl11]) ).
thf(zip_derived_cl207_026,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl4129,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ top ) @ ( complement @ top ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3963,zip_derived_cl207]) ).
thf(zip_derived_cl175_027,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl0_028,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl4141,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( meet @ X0 @ top ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4129,zip_derived_cl175,zip_derived_cl0]) ).
thf(zip_derived_cl4272,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( meet @ top @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1890,zip_derived_cl4141]) ).
thf(zip_derived_cl4290,plain,
( ( complement @ zero )
= ( join @ zero @ ( complement @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4077,zip_derived_cl4272]) ).
thf(zip_derived_cl11_029,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl4297,plain,
( ( complement @ zero )
= top ),
inference(demod,[status(thm)],[zip_derived_cl4290,zip_derived_cl11]) ).
thf(zip_derived_cl3_030,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl4322,plain,
! [X0: $i] :
( ( meet @ X0 @ zero )
= ( complement @ ( join @ ( complement @ X0 ) @ top ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4297,zip_derived_cl3]) ).
thf(zip_derived_cl3963_031,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl3935,zip_derived_cl11]) ).
thf(zip_derived_cl11_032,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= ( join @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl4130,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= ( join @ top @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl3963,zip_derived_cl34]) ).
thf(zip_derived_cl11_034,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl11_035,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl0_036,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i] :
( ( ( meet @ X0 @ ( converse @ X1 ) )
= zero )
=> ( ( meet @ ( converse @ X0 ) @ X1 )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( ( meet @ X0 @ ( converse @ X1 ) )
= zero )
=> ( ( meet @ ( converse @ X0 ) @ X1 )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( meet @ sk_ @ ( converse @ sk__1 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl207_037,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl216,plain,
( sk_
= ( join @ zero @ ( complement @ ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl207]) ).
thf(zip_derived_cl1_038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl218,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ ( complement @ ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) ) ) @ X0 ) )
= ( join @ sk_ @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl1]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ X0 @ ( complement @ ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) ) ) ) )
= ( join @ sk_ @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl218]) ).
thf(zip_derived_cl308,plain,
( ( join @ zero @ top )
= ( join @ sk_ @ ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl220]) ).
thf(zip_derived_cl175_039,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl11_040,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl227,plain,
( top
= ( join @ top @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl11]) ).
thf(zip_derived_cl0_041,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl233,plain,
( ( join @ zero @ top )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl0]) ).
thf(zip_derived_cl313,plain,
( top
= ( join @ sk_ @ ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl233]) ).
thf(zip_derived_cl34_042,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= ( join @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl1980,plain,
( top
= ( join @ top @ ( converse @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl313,zip_derived_cl34]) ).
thf(zip_derived_cl7_043,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(converse_additivity,axiom,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl0_044,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
= ( converse @ ( join @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( converse @ X1 ) )
= ( converse @ ( join @ X1 @ ( converse @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl17]) ).
thf(zip_derived_cl2044,plain,
( ( join @ sk__1 @ ( converse @ top ) )
= ( converse @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl1980,zip_derived_cl27]) ).
thf(zip_derived_cl31_045,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl2087,plain,
( ( join @ sk__1 @ ( join @ ( converse @ top ) @ ( complement @ ( converse @ top ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl2044,zip_derived_cl31]) ).
thf(zip_derived_cl11_046,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl2093,plain,
( ( join @ sk__1 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl2087,zip_derived_cl11]) ).
thf(zip_derived_cl0_047,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl1_048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl2100,plain,
! [X0: $i] :
( ( join @ top @ ( join @ sk__1 @ X0 ) )
= ( join @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2093,zip_derived_cl32]) ).
thf(zip_derived_cl2399,plain,
( ( join @ top @ top )
= ( join @ top @ ( complement @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl2100]) ).
thf(zip_derived_cl0_049,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl2405,plain,
( ( join @ top @ top )
= ( join @ ( complement @ sk__1 ) @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl2399,zip_derived_cl0]) ).
thf(zip_derived_cl1922_050,plain,
( zero
= ( meet @ zero @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl1890,zip_derived_cl228]) ).
thf(zip_derived_cl207_051,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl2019,plain,
( zero
= ( join @ zero @ ( complement @ ( join @ ( complement @ zero ) @ top ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1922,zip_derived_cl207]) ).
thf(zip_derived_cl0_052,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl11_053,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl227_054,plain,
( top
= ( join @ top @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl11]) ).
thf(zip_derived_cl1_055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl234,plain,
! [X0: $i] :
( ( join @ top @ ( join @ zero @ X0 ) )
= ( join @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl1]) ).
thf(zip_derived_cl884,plain,
( ( join @ top @ top )
= ( join @ top @ ( complement @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl234]) ).
thf(zip_derived_cl2023,plain,
( zero
= ( join @ zero @ ( complement @ ( join @ top @ top ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2019,zip_derived_cl0,zip_derived_cl884]) ).
thf(zip_derived_cl31_056,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl2227,plain,
( ( join @ zero @ ( join @ ( complement @ ( join @ top @ top ) ) @ ( complement @ zero ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl2023,zip_derived_cl31]) ).
thf(zip_derived_cl0_057,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl34_058,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= ( join @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl2237,plain,
( ( join @ top @ ( complement @ ( join @ top @ top ) ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl2227,zip_derived_cl0,zip_derived_cl34]) ).
thf(zip_derived_cl2405_059,plain,
( ( join @ top @ top )
= ( join @ ( complement @ sk__1 ) @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl2399,zip_derived_cl0]) ).
thf(zip_derived_cl3465,plain,
( ( join @ top @ ( complement @ ( join @ ( complement @ sk__1 ) @ top ) ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl2237,zip_derived_cl2405]) ).
thf(zip_derived_cl31_060,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl3471,plain,
( ( join @ ( complement @ sk__1 ) @ top )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl3465,zip_derived_cl31]) ).
thf(zip_derived_cl3479,plain,
( ( join @ top @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl2405,zip_derived_cl3471]) ).
thf(zip_derived_cl4142,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl4130,zip_derived_cl3479]) ).
thf(zip_derived_cl175_061,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl4336,plain,
! [X0: $i] :
( ( meet @ X0 @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl4322,zip_derived_cl4142,zip_derived_cl175]) ).
thf(zip_derived_cl4979,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ zero @ ( complement @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4965,zip_derived_cl4336]) ).
thf(zip_derived_cl216_062,plain,
( sk_
= ( join @ zero @ ( complement @ ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl207]) ).
thf(zip_derived_cl4995,plain,
( sk_
= ( complement @ ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4979,zip_derived_cl216]) ).
thf(zip_derived_cl4979_063,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ zero @ ( complement @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4965,zip_derived_cl4336]) ).
thf(zip_derived_cl203_064,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl132,zip_derived_cl136]) ).
thf(zip_derived_cl207_065,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl3939,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ ( complement @ X0 ) ) @ ( complement @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl207]) ).
thf(zip_derived_cl12_066,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl3965,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3939,zip_derived_cl12]) ).
thf(zip_derived_cl4996,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4979,zip_derived_cl3965]) ).
thf(zip_derived_cl5079,plain,
( ( join @ ( complement @ sk_ ) @ ( converse @ sk__1 ) )
= ( complement @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl4995,zip_derived_cl4996]) ).
thf(zip_derived_cl7_067,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl8_068,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X1 @ ( converse @ X0 ) ) )
= ( join @ ( converse @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl5418,plain,
( ( converse @ ( complement @ sk_ ) )
= ( join @ ( converse @ ( complement @ sk_ ) ) @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5079,zip_derived_cl19]) ).
thf(zip_derived_cl11_069,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl0_071,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X2 @ X1 ) )
= ( join @ X2 @ ( join @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl747,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ X1 @ X0 ) )
= ( join @ X1 @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl28]) ).
thf(zip_derived_cl4142_072,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl4130,zip_derived_cl3479]) ).
thf(zip_derived_cl11236,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ X1 @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl747,zip_derived_cl4142]) ).
thf(zip_derived_cl11324,plain,
( ( join @ ( complement @ sk__1 ) @ ( converse @ ( complement @ sk_ ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl5418,zip_derived_cl11236]) ).
thf(zip_derived_cl19_073,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X1 @ ( converse @ X0 ) ) )
= ( join @ ( converse @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl12391,plain,
( ( converse @ top )
= ( join @ ( converse @ ( complement @ sk__1 ) ) @ ( complement @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11324,zip_derived_cl19]) ).
thf(zip_derived_cl4142_074,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl4130,zip_derived_cl3479]) ).
thf(zip_derived_cl11_075,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl7_076,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl17_077,plain,
! [X0: $i,X1: $i] :
( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
= ( converse @ ( join @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( join @ ( converse @ X1 ) @ X0 )
= ( converse @ ( join @ ( converse @ X0 ) @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl17]) ).
thf(zip_derived_cl409,plain,
! [X0: $i] :
( ( join @ ( converse @ ( complement @ ( converse @ X0 ) ) ) @ X0 )
= ( converse @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl26]) ).
thf(zip_derived_cl4175,plain,
( top
= ( converse @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl4142,zip_derived_cl409]) ).
thf(zip_derived_cl12415,plain,
( top
= ( join @ ( converse @ ( complement @ sk__1 ) ) @ ( complement @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12391,zip_derived_cl4175]) ).
thf(zip_derived_cl0_078,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl207_079,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl210,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ X1 @ ( complement @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl207]) ).
thf(zip_derived_cl13905,plain,
( sk_
= ( join @ ( meet @ sk_ @ ( converse @ ( complement @ sk__1 ) ) ) @ ( complement @ top ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12415,zip_derived_cl210]) ).
thf(zip_derived_cl175_080,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl3965_081,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3939,zip_derived_cl12]) ).
thf(zip_derived_cl0_082,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl11_083,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl31_084,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl1121,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ ( complement @ X0 ) @ ( complement @ top ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl31]) ).
thf(zip_derived_cl175_085,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl1173,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ ( complement @ X0 ) @ zero ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1121,zip_derived_cl175]) ).
thf(zip_derived_cl1632,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ zero @ ( complement @ X0 ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1173]) ).
thf(zip_derived_cl4522,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl3965,zip_derived_cl1632]) ).
thf(zip_derived_cl207_086,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl4592,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ X0 ) @ ( complement @ top ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4522,zip_derived_cl207]) ).
thf(zip_derived_cl3942_087,plain,
! [X0: $i] :
( ( meet @ X0 @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl3]) ).
thf(zip_derived_cl175_088,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl12]) ).
thf(zip_derived_cl4623,plain,
! [X0: $i] :
( X0
= ( join @ ( complement @ ( complement @ X0 ) ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl4592,zip_derived_cl3942,zip_derived_cl175]) ).
thf(zip_derived_cl4996_089,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4979,zip_derived_cl3965]) ).
thf(zip_derived_cl5103,plain,
! [X0: $i] :
( X0
= ( join @ X0 @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl4623,zip_derived_cl4996]) ).
thf(zip_derived_cl13929,plain,
( sk_
= ( meet @ sk_ @ ( converse @ ( complement @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13905,zip_derived_cl175,zip_derived_cl5103]) ).
thf(zip_derived_cl0_090,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl3_091,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl3_092,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl7326,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl3]) ).
thf(zip_derived_cl207_093,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl4996_094,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4979,zip_derived_cl3965]) ).
thf(zip_derived_cl203_095,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl132,zip_derived_cl136]) ).
thf(zip_derived_cl5017,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4996,zip_derived_cl203]) ).
thf(zip_derived_cl4996_096,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4979,zip_derived_cl3965]) ).
thf(zip_derived_cl4996_097,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4979,zip_derived_cl3965]) ).
thf(zip_derived_cl5039,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5017,zip_derived_cl4996,zip_derived_cl4996]) ).
thf(zip_derived_cl1_098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
thf(zip_derived_cl5144,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( join @ X0 @ X1 ) )
= ( join @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5039,zip_derived_cl1]) ).
thf(zip_derived_cl6011,plain,
! [X0: $i,X1: $i] :
( ( join @ ( meet @ X0 @ X1 ) @ X0 )
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl5144]) ).
thf(zip_derived_cl0_099,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl207_100,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl6039,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( meet @ X0 @ X1 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6011,zip_derived_cl0,zip_derived_cl207]) ).
thf(zip_derived_cl7355,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( meet @ X1 @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl7326,zip_derived_cl6039]) ).
thf(zip_derived_cl13962,plain,
( ( join @ ( converse @ ( complement @ sk__1 ) ) @ sk_ )
= ( converse @ ( complement @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13929,zip_derived_cl7355]) ).
thf(zip_derived_cl7_101,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl8_102,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ ( converse @ X0 ) @ X1 ) )
= ( join @ X0 @ ( converse @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl15054,plain,
( ( converse @ ( converse @ ( complement @ sk__1 ) ) )
= ( join @ ( complement @ sk__1 ) @ ( converse @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13962,zip_derived_cl20]) ).
thf(zip_derived_cl7_103,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl15069,plain,
( ( complement @ sk__1 )
= ( join @ ( complement @ sk__1 ) @ ( converse @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15054,zip_derived_cl7]) ).
thf(zip_derived_cl11236_104,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ X1 @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl747,zip_derived_cl4142]) ).
thf(zip_derived_cl15413,plain,
( ( join @ ( complement @ ( converse @ sk_ ) ) @ ( complement @ sk__1 ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl15069,zip_derived_cl11236]) ).
thf(zip_derived_cl3_105,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
thf(zip_derived_cl12_106,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i] :
( zero
= ( meet @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) @ ( meet @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).
thf(zip_derived_cl15773,plain,
( zero
= ( meet @ top @ ( meet @ ( converse @ sk_ ) @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl15413,zip_derived_cl167]) ).
thf(zip_derived_cl7326_107,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl3]) ).
thf(zip_derived_cl225_108,plain,
! [X0: $i] :
( ( meet @ top @ X0 )
= ( complement @ ( join @ zero @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl3]) ).
thf(zip_derived_cl4979_109,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ zero @ ( complement @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4965,zip_derived_cl4336]) ).
thf(zip_derived_cl4981,plain,
! [X0: $i] :
( ( meet @ top @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl4979]) ).
thf(zip_derived_cl4996_110,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4979,zip_derived_cl3965]) ).
thf(zip_derived_cl5202,plain,
! [X0: $i] :
( ( meet @ top @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl4981,zip_derived_cl4996]) ).
thf(zip_derived_cl15803,plain,
( zero
= ( meet @ sk__1 @ ( converse @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15773,zip_derived_cl7326,zip_derived_cl5202]) ).
thf(zip_derived_cl14,plain,
( ( meet @ ( converse @ sk_ ) @ sk__1 )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7326_111,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl3]) ).
thf(zip_derived_cl7350,plain,
( ( meet @ sk__1 @ ( converse @ sk_ ) )
!= zero ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl7326]) ).
thf(zip_derived_cl15804,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15803,zip_derived_cl7350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL007+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zE00g9Fbey true
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 21:38:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.23/2.60 % Solved by fo/fo4.sh.
% 14.23/2.60 % done 1566 iterations in 1.823s
% 14.23/2.60 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.23/2.60 % SZS output start Refutation
% See solution above
% 14.23/2.60
% 14.23/2.60
% 14.23/2.60 % Terminating...
% 14.23/2.65 % Runner terminated.
% 14.23/2.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------