TSTP Solution File: REL024+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL024+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.8GNolpSv7F true
% Computer : n031.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 13:47:15 EDT 2023
% Result : Theorem 155.47s 22.88s
% Output : Refutation 155.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 101 ( 92 unt; 9 typ; 0 def)
% Number of atoms : 92 ( 91 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 713 ( 5 ~; 0 |; 0 &; 708 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 182 ( 0 ^; 182 !; 0 ?; 182 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $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(composition_type,type,
composition: $i > $i > $i ).
thf(complement_type,type,
complement: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(one_type,type,
one: $i ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ ( meet @ X1 @ X2 ) ) @ ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ X2 ) )
= ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ X2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ ( meet @ X1 @ X2 ) ) @ ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ X2 ) )
= ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ X2 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( join @ ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ ( meet @ sk__1 @ sk__2 ) ) @ ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 ) )
!= ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl16,plain,
( ( join @ ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 ) @ ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ ( meet @ sk__1 @ sk__2 ) ) )
!= ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).
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(composition_distributivity,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X1 ) @ X2 )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X1 @ X2 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X2 ) @ X1 )
= ( join @ ( composition @ X0 @ X1 ) @ ( composition @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[composition_distributivity]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X2 @ ( converse @ X0 ) ) @ ( converse @ X1 ) )
= ( join @ ( composition @ X2 @ ( converse @ X1 ) ) @ ( converse @ ( composition @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
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(zip_derived_cl9_001,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('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
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_cl183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( converse @ ( join @ ( composition @ ( converse @ X0 ) @ X1 ) @ X2 ) )
= ( join @ ( composition @ ( converse @ X1 ) @ X0 ) @ ( converse @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).
thf(zip_derived_cl6603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( converse @ ( composition @ ( join @ ( converse @ X2 ) @ ( converse @ X1 ) ) @ ( converse @ X0 ) ) )
= ( join @ ( composition @ ( converse @ ( converse @ X0 ) ) @ X2 ) @ ( converse @ ( converse @ ( composition @ X0 @ X1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl183]) ).
thf(zip_derived_cl8_002,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl0_003,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('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl9_004,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X1 @ X0 ) )
= ( composition @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_multiplicativity]) ).
thf(zip_derived_cl7_005,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl7_006,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl7_007,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl6654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6603,zip_derived_cl17,zip_derived_cl9,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl8250,plain,
( ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ ( join @ sk__2 @ ( meet @ sk__1 @ sk__2 ) ) )
!= ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl6654,zip_derived_cl0]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
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_cl38,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_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_cl867,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,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_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_cl50,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_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(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(zip_derived_cl21_013,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_cl194,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).
thf(zip_derived_cl7_014,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl201,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl7]) ).
thf(zip_derived_cl5_015,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_cl71,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_cl214,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl71]) ).
thf(zip_derived_cl201_016,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl7]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl201]) ).
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_cl274,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl10]) ).
thf(zip_derived_cl201_017,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl7]) ).
thf(zip_derived_cl5_018,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl215,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl5]) ).
thf(zip_derived_cl220_019,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl201]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl215,zip_derived_cl220]) ).
thf(zip_derived_cl6654_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6603,zip_derived_cl17,zip_derived_cl9,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl6_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X2 ) @ X1 )
= ( join @ ( composition @ X0 @ X1 ) @ ( composition @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[composition_distributivity]) ).
thf(zip_derived_cl8278,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( join @ X1 @ X1 ) @ X0 )
= ( composition @ X1 @ ( join @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6654,zip_derived_cl6]) ).
thf(zip_derived_cl8483,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( complement @ X0 ) @ X1 )
= ( composition @ ( complement @ X0 ) @ ( join @ X1 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl278,zip_derived_cl8278]) ).
thf(zip_derived_cl18637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( meet @ X1 @ X0 ) @ X2 )
= ( composition @ ( meet @ X1 @ X0 ) @ ( join @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl8483]) ).
thf(zip_derived_cl6654_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6603,zip_derived_cl17,zip_derived_cl9,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl19118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( composition @ ( meet @ X2 @ X1 ) @ ( join @ ( join @ X0 @ X0 ) @ X3 ) )
= ( join @ ( composition @ ( meet @ X2 @ X1 ) @ X3 ) @ ( composition @ ( meet @ X2 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18637,zip_derived_cl6654]) ).
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_cl9_023,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X1 @ X0 ) )
= ( composition @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_multiplicativity]) ).
thf(zip_derived_cl6_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( join @ X0 @ X2 ) @ X1 )
= ( join @ ( composition @ X0 @ X1 ) @ ( composition @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[composition_distributivity]) ).
thf(zip_derived_cl0_025,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( composition @ X1 @ X0 ) @ ( composition @ X2 @ X0 ) )
= ( composition @ ( join @ X2 @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( composition @ X2 @ ( converse @ X1 ) ) @ ( converse @ ( composition @ X1 @ X0 ) ) )
= ( composition @ ( join @ ( converse @ X0 ) @ X2 ) @ ( converse @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl77]) ).
thf(zip_derived_cl183_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( converse @ ( join @ ( composition @ ( converse @ X0 ) @ X1 ) @ X2 ) )
= ( join @ ( composition @ ( converse @ X1 ) @ X0 ) @ ( converse @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).
thf(zip_derived_cl6604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( converse @ ( composition @ ( join @ ( converse @ X2 ) @ ( converse @ X1 ) ) @ ( converse @ X0 ) ) )
= ( join @ ( composition @ ( converse @ ( converse @ X0 ) ) @ X1 ) @ ( converse @ ( converse @ ( composition @ X0 @ X2 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl183]) ).
thf(zip_derived_cl17_027,plain,
! [X0: $i,X1: $i] :
( ( join @ ( converse @ X0 ) @ ( converse @ X1 ) )
= ( converse @ ( join @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl9_028,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X1 @ X0 ) )
= ( composition @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_multiplicativity]) ).
thf(zip_derived_cl7_029,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl7_030,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl7_031,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl6655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ X0 @ ( join @ X1 @ X2 ) )
= ( join @ ( composition @ X0 @ X1 ) @ ( composition @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6604,zip_derived_cl17,zip_derived_cl9,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl19224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( composition @ ( meet @ X2 @ X1 ) @ ( join @ X0 @ ( join @ X0 @ X3 ) ) )
= ( composition @ ( meet @ X2 @ X1 ) @ ( join @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19118,zip_derived_cl1,zip_derived_cl6655]) ).
thf(zip_derived_cl45070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( composition @ ( meet @ X3 @ X2 ) @ ( join @ ( meet @ X0 @ X1 ) @ X0 ) )
= ( composition @ ( meet @ X3 @ X2 ) @ ( join @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) @ ( meet @ X0 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl19224]) ).
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_cl0_033,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl50_034,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_cl45274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( composition @ ( meet @ X3 @ X2 ) @ ( join @ X0 @ ( meet @ X0 @ X1 ) ) )
= ( composition @ ( meet @ X3 @ X2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl45070,zip_derived_cl0,zip_derived_cl0,zip_derived_cl50]) ).
thf(zip_derived_cl45653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( composition @ ( meet @ X3 @ X2 ) @ ( join @ X0 @ ( meet @ X1 @ X0 ) ) )
= ( composition @ ( meet @ X3 @ X2 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl867,zip_derived_cl45274]) ).
thf(zip_derived_cl45985,plain,
( ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 )
!= ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl8250,zip_derived_cl45653]) ).
thf(zip_derived_cl45986,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl45985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : REL024+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8GNolpSv7F true
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 21:22:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.88/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.17/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.17/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.17/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.17/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.17/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 155.47/22.88 % Solved by fo/fo6_bce.sh.
% 155.47/22.88 % BCE start: 14
% 155.47/22.88 % BCE eliminated: 0
% 155.47/22.88 % PE start: 14
% 155.47/22.88 logic: eq
% 155.47/22.88 % PE eliminated: 0
% 155.47/22.88 % done 1062 iterations in 22.133s
% 155.47/22.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 155.47/22.88 % SZS output start Refutation
% See solution above
% 155.47/22.88
% 155.47/22.88
% 155.47/22.88 % Terminating...
% 155.47/22.92 % Runner terminated.
% 155.47/22.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------