TSTP Solution File: REL004+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL004+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.Kqag6wiBPZ true
% Computer : n032.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 13:47:00 EDT 2023
% Result : Theorem 8.47s 1.67s
% Output : Refutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 22
% Syntax : Number of formulae : 162 ( 153 unt; 9 typ; 0 def)
% Number of atoms : 153 ( 152 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 814 ( 3 ~; 0 |; 0 &; 811 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 220 ( 0 ^; 220 !; 0 ?; 220 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_type,type,
join: $i > $i > $i ).
thf(converse_type,type,
converse: $i > $i ).
thf(sk__type,type,
sk_: $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(goals,conjecture,
! [X0: $i] :
( ( converse @ ( complement @ X0 ) )
= ( complement @ ( converse @ X0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( converse @ ( complement @ X0 ) )
= ( complement @ ( converse @ X0 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( converse @ ( complement @ sk_ ) )
!= ( complement @ ( converse @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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(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(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(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl71_001,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ X1 )
= ( join @ ( complement @ X0 ) @ ( meet @ ( join @ ( complement @ X0 ) @ X1 ) @ ( meet @ X0 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl71]) ).
thf(zip_derived_cl1614,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( join @ ( complement @ X0 ) @ ( meet @ ( join @ ( complement @ X0 ) @ ( complement @ X0 ) ) @ zero ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl73]) ).
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_cl49,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ ( converse @ X0 ) @ X1 ) )
= ( composition @ ( converse @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
thf(zip_derived_cl229,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl49]) ).
thf(zip_derived_cl7_002,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl236,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl7]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(composition_associativity,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ X0 @ ( composition @ X1 @ X2 ) )
= ( composition @ ( composition @ X0 @ X1 ) @ X2 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ X0 @ ( composition @ X1 @ X2 ) )
= ( composition @ ( composition @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[composition_associativity]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( composition @ X0 @ ( composition @ one @ X1 ) )
= ( composition @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl247,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl33]) ).
thf(zip_derived_cl236_004,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl7]) ).
thf(zip_derived_cl253,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl236]) ).
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_cl277,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl10]) ).
thf(zip_derived_cl236_005,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl7]) ).
thf(zip_derived_cl5_006,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl248,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl5]) ).
thf(zip_derived_cl253_007,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl236]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl248,zip_derived_cl253]) ).
thf(zip_derived_cl278_008,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl248,zip_derived_cl253]) ).
thf(zip_derived_cl278_009,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl248,zip_derived_cl253]) ).
thf(zip_derived_cl71_010,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl351,plain,
! [X0: $i] :
( X0
= ( join @ ( complement @ ( complement @ X0 ) ) @ ( meet @ X0 @ ( complement @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl278,zip_derived_cl71]) ).
thf(zip_derived_cl12_011,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl12,zip_derived_cl0]) ).
thf(zip_derived_cl357_013,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl12,zip_derived_cl0]) ).
thf(zip_derived_cl0_014,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(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_cl26,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= ( join @ top @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl278_015,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl248,zip_derived_cl253]) ).
thf(zip_derived_cl11_016,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_017,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_cl23,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl488,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl278,zip_derived_cl23]) ).
thf(zip_derived_cl11_018,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl0_019,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl506,plain,
! [X0: $i] :
( ( join @ top @ ( complement @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl488,zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl23_020,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl525,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl23]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl529,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl525,zip_derived_cl0]) ).
thf(zip_derived_cl588,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl529]) ).
thf(zip_derived_cl601,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( join @ X1 @ ( complement @ X0 ) ) )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl588]) ).
thf(zip_derived_cl937,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl357,zip_derived_cl601]) ).
thf(zip_derived_cl1_022,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_cl951,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X1 ) @ ( join @ X1 @ X0 ) )
= ( join @ top @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl937,zip_derived_cl1]) ).
thf(zip_derived_cl529_023,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl525,zip_derived_cl0]) ).
thf(zip_derived_cl967,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X1 ) @ ( join @ X1 @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl951,zip_derived_cl529]) ).
thf(zip_derived_cl1300,plain,
! [X0: $i] :
( ( join @ ( complement @ zero ) @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl357,zip_derived_cl967]) ).
thf(zip_derived_cl0_024,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl3_025,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_cl55,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl1411,plain,
! [X0: $i] :
( ( meet @ X0 @ zero )
= ( complement @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1300,zip_derived_cl55]) ).
thf(zip_derived_cl11_026,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl3_027,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_cl57,plain,
! [X0: $i] :
( ( meet @ X0 @ ( complement @ X0 ) )
= ( complement @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl12_028,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl60,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl12]) ).
thf(zip_derived_cl1425,plain,
! [X0: $i] :
( ( meet @ X0 @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl1411,zip_derived_cl60]) ).
thf(zip_derived_cl0_029,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl1647,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ zero @ ( complement @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1614,zip_derived_cl278,zip_derived_cl278,zip_derived_cl1425,zip_derived_cl0]) ).
thf(zip_derived_cl357_030,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl12,zip_derived_cl0]) ).
thf(zip_derived_cl1686,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl357]) ).
thf(zip_derived_cl937_031,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl357,zip_derived_cl601]) ).
thf(zip_derived_cl7_032,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_cl18,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X1 @ ( converse @ X0 ) ) )
= ( join @ ( converse @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl961,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ ( converse @ ( complement @ ( converse @ X0 ) ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl937,zip_derived_cl18]) ).
thf(zip_derived_cl529_033,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl525,zip_derived_cl0]) ).
thf(zip_derived_cl11_034,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl7_035,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl8_036,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 @ ( converse @ X0 ) @ X1 ) )
= ( join @ X0 @ ( converse @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl19]) ).
thf(zip_derived_cl559,plain,
( ( converse @ top )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl529,zip_derived_cl147]) ).
thf(zip_derived_cl974,plain,
! [X0: $i] :
( top
= ( join @ ( converse @ ( complement @ ( converse @ X0 ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl961,zip_derived_cl559]) ).
thf(zip_derived_cl0_037,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl71_038,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ X1 @ ( complement @ X0 ) ) ) @ ( meet @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl71]) ).
thf(zip_derived_cl2073,plain,
! [X0: $i] :
( X0
= ( join @ ( complement @ top ) @ ( meet @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl78]) ).
thf(zip_derived_cl60_039,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl12]) ).
thf(zip_derived_cl357_040,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl12,zip_derived_cl0]) ).
thf(zip_derived_cl1686_041,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl357]) ).
thf(zip_derived_cl1694,plain,
! [X0: $i] :
( X0
= ( join @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl1686]) ).
thf(zip_derived_cl2094,plain,
! [X0: $i] :
( X0
= ( meet @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2073,zip_derived_cl60,zip_derived_cl1694]) ).
thf(zip_derived_cl3669,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( meet @ ( complement @ X0 ) @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1686,zip_derived_cl2094]) ).
thf(zip_derived_cl3_042,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_cl71_043,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( complement @ X1 ) @ ( complement @ X0 ) )
= ( join @ ( complement @ ( join @ ( meet @ X1 @ X0 ) @ X2 ) ) @ ( meet @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl71]) ).
thf(zip_derived_cl3_044,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_cl3_045,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_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( meet @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) @ X2 )
= ( complement @ ( join @ ( meet @ X1 @ X0 ) @ ( complement @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl2147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( complement @ X1 ) @ ( complement @ X0 ) )
= ( join @ ( complement @ ( join @ ( meet @ X1 @ X0 ) @ X2 ) ) @ ( complement @ ( join @ ( meet @ X1 @ X0 ) @ ( complement @ X2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl51]) ).
thf(zip_derived_cl4756,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) )
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3669,zip_derived_cl2147]) ).
thf(zip_derived_cl1686_046,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl357]) ).
thf(zip_derived_cl3_047,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_cl71_048,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl4796,plain,
! [X0: $i] :
( ( join @ X0 @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl4756,zip_derived_cl1686,zip_derived_cl3,zip_derived_cl71]) ).
thf(zip_derived_cl19_049,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ ( converse @ X0 ) @ X1 ) )
= ( join @ X0 @ ( converse @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).
thf(zip_derived_cl6204,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ ( converse @ ( converse @ X0 ) ) ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4796,zip_derived_cl19]) ).
thf(zip_derived_cl7_050,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl7_051,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl6255,plain,
! [X0: $i] :
( X0
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6204,zip_derived_cl7,zip_derived_cl7]) ).
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_cl71_053,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl588_054,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl529]) ).
thf(zip_derived_cl610,plain,
! [X0: $i,X1: $i] :
( ( join @ ( join @ ( complement @ X0 ) @ X1 ) @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl588]) ).
thf(zip_derived_cl78_055,plain,
! [X0: $i,X1: $i] :
( X0
= ( join @ ( complement @ ( join @ X1 @ ( complement @ X0 ) ) ) @ ( meet @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl71]) ).
thf(zip_derived_cl2070,plain,
! [X0: $i,X1: $i] :
( X1
= ( join @ ( complement @ top ) @ ( meet @ X1 @ ( join @ ( complement @ ( complement @ X1 ) ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl610,zip_derived_cl78]) ).
thf(zip_derived_cl60_056,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl12]) ).
thf(zip_derived_cl1686_057,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl357]) ).
thf(zip_derived_cl1694_058,plain,
! [X0: $i] :
( X0
= ( join @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl1686]) ).
thf(zip_derived_cl2091,plain,
! [X0: $i,X1: $i] :
( X1
= ( meet @ X1 @ ( join @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2070,zip_derived_cl60,zip_derived_cl1686,zip_derived_cl1694]) ).
thf(zip_derived_cl2316,plain,
! [X0: $i,X1: $i] :
( X0
= ( meet @ X0 @ ( join @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl2091]) ).
thf(zip_derived_cl6455,plain,
! [X0: $i] :
( ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) )
= ( meet @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6255,zip_derived_cl2316]) ).
thf(zip_derived_cl4796_059,plain,
! [X0: $i] :
( ( join @ X0 @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl4756,zip_derived_cl1686,zip_derived_cl3,zip_derived_cl71]) ).
thf(zip_derived_cl55_060,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl6194,plain,
! [X0: $i] :
( ( meet @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4796,zip_derived_cl55]) ).
thf(zip_derived_cl1686_061,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl357]) ).
thf(zip_derived_cl6245,plain,
! [X0: $i] :
( ( meet @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6194,zip_derived_cl1686]) ).
thf(zip_derived_cl6501,plain,
! [X0: $i] :
( ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6455,zip_derived_cl6245]) ).
thf(zip_derived_cl7_062,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl6523,plain,
! [X0: $i] :
( ( converse @ X0 )
= ( complement @ ( converse @ ( complement @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6501,zip_derived_cl7]) ).
thf(zip_derived_cl1686_063,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl357]) ).
thf(zip_derived_cl6844,plain,
! [X0: $i] :
( ( converse @ ( complement @ X0 ) )
= ( complement @ ( converse @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6523,zip_derived_cl1686]) ).
thf(zip_derived_cl6883,plain,
( ( complement @ ( converse @ sk_ ) )
!= ( complement @ ( converse @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl6844]) ).
thf(zip_derived_cl6884,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl6883]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Kqag6wiBPZ true
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Aug 25 20:46:43 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in FO mode
% 0.14/0.48 % Total configuration time : 435
% 0.14/0.48 % Estimated wc time : 1092
% 0.14/0.48 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.47/1.67 % Solved by fo/fo1_av.sh.
% 8.47/1.67 % done 809 iterations in 1.073s
% 8.47/1.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.47/1.67 % SZS output start Refutation
% See solution above
% 8.47/1.67
% 8.47/1.67
% 8.47/1.67 % Terminating...
% 9.07/1.80 % Runner terminated.
% 9.07/1.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------