TSTP Solution File: REL004+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL004+2 : 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.AWP2aUcTcB true
% Computer : n002.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 13:47:01 EDT 2023
% Result : Theorem 0.55s 1.28s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of formulae : 166 ( 157 unt; 9 typ; 0 def)
% Number of atoms : 157 ( 156 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 842 ( 3 ~; 0 |; 0 &; 839 @)
% ( 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 : 216 ( 0 ^; 216 !; 0 ?; 216 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_type,type,
join: $i > $i > $i ).
thf(converse_type,type,
converse: $i > $i ).
thf(meet_type,type,
meet: $i > $i > $i ).
thf(sk__type,type,
sk_: $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_cl16,plain,
( ( converse @ ( complement @ sk_ ) )
!= ( complement @ ( converse @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl34,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_cl588,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl34]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl595,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl7]) ).
thf(zip_derived_cl5_002,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_cl165,plain,
! [X0: $i,X1: $i] :
( ( composition @ X0 @ ( composition @ one @ X1 ) )
= ( composition @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl614,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl165]) ).
thf(zip_derived_cl595_003,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl7]) ).
thf(zip_derived_cl627,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl595]) ).
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_cl662,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl10]) ).
thf(zip_derived_cl595_004,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl7]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl615,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl5]) ).
thf(zip_derived_cl627_006,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl595]) ).
thf(zip_derived_cl669,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl615,zip_derived_cl627]) ).
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_cl684,plain,
! [X0: $i] :
( ( meet @ X0 @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl669,zip_derived_cl3]) ).
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_cl3_007,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_cl64,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_cl67,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl12]) ).
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_cl71,plain,
! [X0: $i] :
( ( meet @ X0 @ top )
= ( complement @ ( join @ ( complement @ X0 ) @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl3]) ).
thf(zip_derived_cl822,plain,
! [X0: $i] :
( ( meet @ ( complement @ X0 ) @ top )
= ( complement @ ( join @ ( meet @ X0 @ X0 ) @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl684,zip_derived_cl71]) ).
thf(zip_derived_cl12_009,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(zip_derived_cl3_010,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,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_cl191,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl57]) ).
thf(zip_derived_cl3_011,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_cl194,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( meet @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl3]) ).
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_cl402,plain,
! [X0: $i] :
( ( join @ ( meet @ X0 @ X0 ) @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl0]) ).
thf(zip_derived_cl842,plain,
! [X0: $i] :
( ( meet @ ( complement @ X0 ) @ top )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl402]) ).
thf(zip_derived_cl57_012,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_cl1035,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ ( complement @ X0 ) ) @ top ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl842,zip_derived_cl57]) ).
thf(zip_derived_cl669_013,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl615,zip_derived_cl627]) ).
thf(zip_derived_cl11_014,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_cl22,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_cl752,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl669,zip_derived_cl22]) ).
thf(zip_derived_cl11_015,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl777,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl11]) ).
thf(zip_derived_cl0_016,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl864,plain,
! [X0: $i] :
( ( join @ top @ ( complement @ X0 ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl777,zip_derived_cl0]) ).
thf(zip_derived_cl22_017,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_cl888,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl864,zip_derived_cl22]) ).
thf(zip_derived_cl67_018,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl12]) ).
thf(zip_derived_cl1045,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ ( complement @ X0 ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl1035,zip_derived_cl888,zip_derived_cl67]) ).
thf(zip_derived_cl684_019,plain,
! [X0: $i] :
( ( meet @ X0 @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl669,zip_derived_cl3]) ).
thf(zip_derived_cl402_020,plain,
! [X0: $i] :
( ( join @ ( meet @ X0 @ X0 ) @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl0]) ).
thf(zip_derived_cl831,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl684,zip_derived_cl402]) ).
thf(zip_derived_cl1407,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl11_021,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl7_022,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_cl33,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_cl120,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl33]) ).
thf(zip_derived_cl888_023,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl864,zip_derived_cl22]) ).
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_cl895,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl888,zip_derived_cl0]) ).
thf(zip_derived_cl120_025,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl33]) ).
thf(zip_derived_cl926,plain,
( ( converse @ top )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl895,zip_derived_cl120]) ).
thf(zip_derived_cl935,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl926]) ).
thf(zip_derived_cl57_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_cl1989,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ) @ ( complement @ top ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl935,zip_derived_cl57]) ).
thf(zip_derived_cl67_027,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl12]) ).
thf(zip_derived_cl831_028,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl684,zip_derived_cl402]) ).
thf(zip_derived_cl1407_029,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl1454,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl831,zip_derived_cl1407]) ).
thf(zip_derived_cl2022,plain,
! [X0: $i] :
( X0
= ( meet @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1989,zip_derived_cl67,zip_derived_cl1454]) ).
thf(zip_derived_cl2133,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( meet @ ( complement @ X0 ) @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1407,zip_derived_cl2022]) ).
thf(zip_derived_cl2_030,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_cl2_031,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_cl54,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X1 ) )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
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_cl55,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X1 ) )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ X0 ) @ ( join @ X1 @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl3_034,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_cl2830,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X1 ) )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ X0 ) @ ( join @ X1 @ ( meet @ X0 @ X1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl3]) ).
thf(zip_derived_cl2857,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) )
= ( join @ ( complement @ ( complement @ X0 ) ) @ ( complement @ ( join @ ( complement @ ( complement @ X0 ) ) @ ( join @ ( converse @ ( complement @ ( converse @ X0 ) ) ) @ ( complement @ X0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2133,zip_derived_cl2830]) ).
thf(zip_derived_cl1407_035,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl1407_036,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl1407_037,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl0_038,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl11_039,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_040,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_cl25,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_cl895_041,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl888,zip_derived_cl0]) ).
thf(zip_derived_cl964,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl895]) ).
thf(zip_derived_cl67_042,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl12]) ).
thf(zip_derived_cl1454_043,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl831,zip_derived_cl1407]) ).
thf(zip_derived_cl2883,plain,
! [X0: $i] :
( ( join @ X0 @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2857,zip_derived_cl1407,zip_derived_cl1407,zip_derived_cl1407,zip_derived_cl0,zip_derived_cl964,zip_derived_cl67,zip_derived_cl1454]) ).
thf(zip_derived_cl1407_044,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl669_045,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl615,zip_derived_cl627]) ).
thf(zip_derived_cl1461,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1407,zip_derived_cl669]) ).
thf(zip_derived_cl1407_046,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl1407_047,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl1478,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl1461,zip_derived_cl1407,zip_derived_cl1407]) ).
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_cl0_049,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl19,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_cl1554,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( join @ X1 @ X0 ) )
= ( join @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1478,zip_derived_cl19]) ).
thf(zip_derived_cl2962,plain,
! [X0: $i] :
( ( join @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) @ X0 )
= ( join @ X0 @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2883,zip_derived_cl1554]) ).
thf(zip_derived_cl2883_050,plain,
! [X0: $i] :
( ( join @ X0 @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2857,zip_derived_cl1407,zip_derived_cl1407,zip_derived_cl1407,zip_derived_cl0,zip_derived_cl964,zip_derived_cl67,zip_derived_cl1454]) ).
thf(zip_derived_cl2998,plain,
! [X0: $i] :
( ( join @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2962,zip_derived_cl2883]) ).
thf(zip_derived_cl3_051,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_cl3183,plain,
! [X0: $i] :
( ( meet @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2998,zip_derived_cl3]) ).
thf(zip_derived_cl1407_052,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl3212,plain,
! [X0: $i] :
( ( meet @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl3183,zip_derived_cl1407]) ).
thf(zip_derived_cl57_053,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_cl1478_054,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl1461,zip_derived_cl1407,zip_derived_cl1407]) ).
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_cl1552,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( join @ X0 @ X1 ) )
= ( join @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1478,zip_derived_cl1]) ).
thf(zip_derived_cl2438,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_cl57,zip_derived_cl1552]) ).
thf(zip_derived_cl0_056,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl57_057,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_cl2467,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( meet @ X0 @ X1 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2438,zip_derived_cl0,zip_derived_cl57]) ).
thf(zip_derived_cl1554_058,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( join @ X1 @ X0 ) )
= ( join @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1478,zip_derived_cl19]) ).
thf(zip_derived_cl2723,plain,
! [X0: $i,X1: $i] :
( ( join @ ( meet @ X0 @ X1 ) @ X0 )
= ( join @ X0 @ ( meet @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2467,zip_derived_cl1554]) ).
thf(zip_derived_cl2467_059,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( meet @ X0 @ X1 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2438,zip_derived_cl0,zip_derived_cl57]) ).
thf(zip_derived_cl2754,plain,
! [X0: $i,X1: $i] :
( ( join @ ( meet @ X0 @ X1 ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2723,zip_derived_cl2467]) ).
thf(zip_derived_cl3716,plain,
! [X0: $i] :
( ( join @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) )
= ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3212,zip_derived_cl2754]) ).
thf(zip_derived_cl2883_060,plain,
! [X0: $i] :
( ( join @ X0 @ ( complement @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2857,zip_derived_cl1407,zip_derived_cl1407,zip_derived_cl1407,zip_derived_cl0,zip_derived_cl964,zip_derived_cl67,zip_derived_cl1454]) ).
thf(zip_derived_cl33_061,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_cl2974,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ ( converse @ ( converse @ X0 ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2883,zip_derived_cl33]) ).
thf(zip_derived_cl7_062,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl7_063,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl3005,plain,
! [X0: $i] :
( X0
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2974,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl3733,plain,
! [X0: $i] :
( X0
= ( converse @ ( complement @ ( converse @ ( complement @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3716,zip_derived_cl3005]) ).
thf(zip_derived_cl7_064,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl3744,plain,
! [X0: $i] :
( ( converse @ X0 )
= ( complement @ ( converse @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3733,zip_derived_cl7]) ).
thf(zip_derived_cl1407_065,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl831]) ).
thf(zip_derived_cl3817,plain,
! [X0: $i] :
( ( complement @ ( converse @ X0 ) )
= ( converse @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3744,zip_derived_cl1407]) ).
thf(zip_derived_cl3854,plain,
( ( complement @ ( converse @ sk_ ) )
!= ( complement @ ( converse @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl3817]) ).
thf(zip_derived_cl3855,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL004+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AWP2aUcTcB true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 19:19:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/1.28 % Solved by fo/fo4.sh.
% 0.55/1.28 % done 407 iterations in 0.486s
% 0.55/1.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/1.28 % SZS output start Refutation
% See solution above
% 0.55/1.28
% 0.55/1.28
% 0.55/1.28 % Terminating...
% 0.56/1.36 % Runner terminated.
% 0.56/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------