TSTP Solution File: REL042+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL042+2 : 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.kwtHjYnUc4 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 13:47:28 EDT 2023
% Result : Theorem 30.26s 4.92s
% Output : Refutation 30.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 24
% Syntax : Number of formulae : 168 ( 157 unt; 9 typ; 0 def)
% Number of atoms : 161 ( 160 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 978 ( 3 ~; 0 |; 0 &; 973 @)
% ( 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 : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 201 ( 0 ^; 201 !; 0 ?; 201 :)
% 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(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(sk__type,type,
sk_: $i ).
thf(one_type,type,
one: $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(goals,conjecture,
! [X0: $i] :
( ! [X1: $i] :
( ( meet @ ( composition @ X0 @ X1 ) @ ( composition @ X0 @ ( complement @ X1 ) ) )
= zero )
=> ( ( join @ ( composition @ ( converse @ X0 ) @ X0 ) @ one )
= one ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ! [X1: $i] :
( ( meet @ ( composition @ X0 @ X1 ) @ ( composition @ X0 @ ( complement @ X1 ) ) )
= zero )
=> ( ( join @ ( composition @ ( converse @ X0 ) @ X0 ) @ one )
= one ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( meet @ ( composition @ sk_ @ X0 ) @ ( composition @ sk_ @ ( complement @ X0 ) ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
( ( meet @ sk_ @ ( composition @ sk_ @ ( complement @ one ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).
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(dedekind_law,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( meet @ ( composition @ X0 @ X1 ) @ X2 ) @ ( composition @ ( meet @ X0 @ ( composition @ X2 @ ( converse @ X1 ) ) ) @ ( meet @ X1 @ ( composition @ ( converse @ X0 ) @ X2 ) ) ) )
= ( composition @ ( meet @ X0 @ ( composition @ X2 @ ( converse @ X1 ) ) ) @ ( meet @ X1 @ ( composition @ ( converse @ X0 ) @ X2 ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( meet @ ( composition @ X0 @ X2 ) @ X1 ) @ ( composition @ ( meet @ X0 @ ( composition @ X1 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ ( converse @ X0 ) @ X1 ) ) ) )
= ( composition @ ( meet @ X0 @ ( composition @ X1 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ ( converse @ X0 ) @ X1 ) ) ) ),
inference(cnf,[status(esa)],[dedekind_law]) ).
thf(zip_derived_cl290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( meet @ ( composition @ ( converse @ X0 ) @ X2 ) @ X1 ) @ ( composition @ ( meet @ ( converse @ X0 ) @ ( composition @ X1 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ X0 @ X1 ) ) ) )
= ( composition @ ( meet @ ( converse @ X0 ) @ ( composition @ X1 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ ( converse @ ( converse @ X0 ) ) @ X1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( meet @ ( composition @ ( converse @ X0 ) @ X2 ) @ X1 ) @ ( composition @ ( meet @ ( converse @ X0 ) @ ( composition @ X1 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ X0 @ X1 ) ) ) )
= ( composition @ ( meet @ ( converse @ X0 ) @ ( composition @ X1 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ X0 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl7]) ).
thf(zip_derived_cl16149,plain,
( ( join @ ( meet @ ( composition @ ( converse @ sk_ ) @ sk_ ) @ ( complement @ one ) ) @ ( composition @ ( meet @ ( converse @ sk_ ) @ ( composition @ ( complement @ one ) @ ( converse @ sk_ ) ) ) @ zero ) )
= ( composition @ ( meet @ ( converse @ sk_ ) @ ( composition @ ( complement @ one ) @ ( converse @ sk_ ) ) ) @ ( meet @ sk_ @ ( composition @ sk_ @ ( complement @ one ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl308]) ).
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(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_cl110,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_002,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_cl6911,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl3]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl7_004,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_cl25,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_cl597,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl25]) ).
thf(zip_derived_cl7_005,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl604,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl7]) ).
thf(zip_derived_cl5_006,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_cl118,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_cl624,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl604,zip_derived_cl118]) ).
thf(zip_derived_cl604_007,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl7]) ).
thf(zip_derived_cl638,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl624,zip_derived_cl604]) ).
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_cl678,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl10]) ).
thf(zip_derived_cl604_008,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl7]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl625,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl604,zip_derived_cl5]) ).
thf(zip_derived_cl638_010,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl624,zip_derived_cl604]) ).
thf(zip_derived_cl685,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl678,zip_derived_cl625,zip_derived_cl638]) ).
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_cl35,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_cl1686,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl685,zip_derived_cl35]) ).
thf(zip_derived_cl11_011,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
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_cl1746,plain,
! [X0: $i] :
( ( join @ top @ ( complement @ X0 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1686,zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl35_013,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_cl1923,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl1746,zip_derived_cl35]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl2044,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl1923,zip_derived_cl0]) ).
thf(zip_derived_cl11_015,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl7_016,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_cl24,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_cl76,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ X0 @ ( converse @ ( complement @ ( converse @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl24]) ).
thf(zip_derived_cl2091,plain,
( ( converse @ top )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl2044,zip_derived_cl76]) ).
thf(zip_derived_cl625_017,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl604,zip_derived_cl5]) ).
thf(zip_derived_cl5_018,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl10_019,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_cl128,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ X0 ) @ ( complement @ X0 ) ) @ ( complement @ one ) )
= ( complement @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).
thf(zip_derived_cl656,plain,
( ( join @ ( composition @ one @ ( complement @ one ) ) @ ( complement @ one ) )
= ( complement @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl625,zip_derived_cl128]) ).
thf(zip_derived_cl638_020,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl624,zip_derived_cl604]) ).
thf(zip_derived_cl821,plain,
( ( join @ ( complement @ one ) @ ( complement @ one ) )
= ( complement @ one ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl638]) ).
thf(zip_derived_cl3_021,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_cl826,plain,
( ( meet @ one @ one )
= ( complement @ ( complement @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl821,zip_derived_cl3]) ).
thf(zip_derived_cl16_022,plain,
! [X0: $i] :
( ( meet @ ( composition @ sk_ @ X0 ) @ ( composition @ sk_ @ ( complement @ X0 ) ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl832,plain,
( ( meet @ ( composition @ sk_ @ ( complement @ one ) ) @ ( composition @ sk_ @ ( meet @ one @ one ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl826,zip_derived_cl16]) ).
thf(zip_derived_cl685_023,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl678,zip_derived_cl625,zip_derived_cl638]) ).
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_024,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_cl136,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_cl910,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ ( complement @ X0 ) ) @ ( complement @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl685,zip_derived_cl136]) ).
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_cl938,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl910,zip_derived_cl12]) ).
thf(zip_derived_cl11_025,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl3_026,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_cl112,plain,
! [X0: $i] :
( ( meet @ X0 @ ( complement @ X0 ) )
= ( complement @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl12_027,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl115,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl12]) ).
thf(zip_derived_cl685_028,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl678,zip_derived_cl625,zip_derived_cl638]) ).
thf(zip_derived_cl918,plain,
( ( join @ ( complement @ top ) @ zero )
= ( complement @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl115,zip_derived_cl685]) ).
thf(zip_derived_cl115_029,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl12]) ).
thf(zip_derived_cl115_030,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl12]) ).
thf(zip_derived_cl930,plain,
( ( join @ zero @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl918,zip_derived_cl115,zip_derived_cl115]) ).
thf(zip_derived_cl1_031,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_cl948,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ zero @ X0 ) )
= ( join @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl930,zip_derived_cl1]) ).
thf(zip_derived_cl2568,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl938,zip_derived_cl948]) ).
thf(zip_derived_cl938_032,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl910,zip_derived_cl12]) ).
thf(zip_derived_cl2583,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl938]) ).
thf(zip_derived_cl12_033,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl136_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_cl144,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl136]) ).
thf(zip_derived_cl3_035,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_cl147,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( meet @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl3]) ).
thf(zip_derived_cl2674,plain,
! [X0: $i] :
( X0
= ( meet @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl147]) ).
thf(zip_derived_cl5_036,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl2929,plain,
( ( meet @ ( composition @ sk_ @ ( complement @ one ) ) @ sk_ )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl832,zip_derived_cl2674,zip_derived_cl5]) ).
thf(zip_derived_cl3_037,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_cl10_038,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_cl127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( composition @ ( converse @ X2 ) @ ( complement @ ( composition @ X2 @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) ) ) ) @ ( meet @ X1 @ X0 ) )
= ( complement @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl3_039,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_cl134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ ( composition @ ( converse @ X2 ) @ ( complement @ ( composition @ X2 @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) ) ) ) @ ( meet @ X1 @ X0 ) )
= ( meet @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl3]) ).
thf(zip_derived_cl8757,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ X0 ) @ ( complement @ ( composition @ X0 @ ( join @ ( complement @ ( composition @ sk_ @ ( complement @ one ) ) ) @ ( complement @ sk_ ) ) ) ) ) @ zero )
= ( meet @ ( composition @ sk_ @ ( complement @ one ) ) @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl2929,zip_derived_cl134]) ).
thf(zip_derived_cl0_040,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl2929_041,plain,
( ( meet @ ( composition @ sk_ @ ( complement @ one ) ) @ sk_ )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl832,zip_derived_cl2674,zip_derived_cl5]) ).
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_cl11_043,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( top
= ( join @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) @ ( meet @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl11]) ).
thf(zip_derived_cl6241,plain,
( top
= ( join @ ( join @ ( complement @ ( composition @ sk_ @ ( complement @ one ) ) ) @ ( complement @ sk_ ) ) @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl2929,zip_derived_cl106]) ).
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_cl1_045,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_cl2583_046,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl938]) ).
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_cl2650,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl0]) ).
thf(zip_derived_cl6272,plain,
( top
= ( join @ ( complement @ sk_ ) @ ( complement @ ( composition @ sk_ @ ( complement @ one ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6241,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2650]) ).
thf(zip_derived_cl2650_048,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl0]) ).
thf(zip_derived_cl2929_049,plain,
( ( meet @ ( composition @ sk_ @ ( complement @ one ) ) @ sk_ )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl832,zip_derived_cl2674,zip_derived_cl5]) ).
thf(zip_derived_cl8832,plain,
! [X0: $i] :
( ( composition @ ( converse @ X0 ) @ ( complement @ ( composition @ X0 @ top ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl8757,zip_derived_cl0,zip_derived_cl6272,zip_derived_cl2650,zip_derived_cl2929]) ).
thf(zip_derived_cl9673,plain,
( ( composition @ top @ ( complement @ ( composition @ top @ top ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl2091,zip_derived_cl8832]) ).
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_cl9709,plain,
! [X0: $i] :
( ( composition @ ( join @ top @ X0 ) @ ( complement @ ( composition @ top @ top ) ) )
= ( join @ zero @ ( composition @ X0 @ ( complement @ ( composition @ top @ top ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9673,zip_derived_cl6]) ).
thf(zip_derived_cl2044_050,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl1923,zip_derived_cl0]) ).
thf(zip_derived_cl9673_051,plain,
( ( composition @ top @ ( complement @ ( composition @ top @ top ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl2091,zip_derived_cl8832]) ).
thf(zip_derived_cl2583_052,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl938]) ).
thf(zip_derived_cl9719,plain,
! [X0: $i] :
( zero
= ( composition @ X0 @ ( complement @ ( composition @ top @ top ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9709,zip_derived_cl2044,zip_derived_cl9673,zip_derived_cl2583]) ).
thf(zip_derived_cl4_053,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_cl9766,plain,
! [X0: $i,X1: $i] :
( ( composition @ X1 @ ( composition @ X0 @ ( complement @ ( composition @ top @ top ) ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl9719,zip_derived_cl4]) ).
thf(zip_derived_cl9719_054,plain,
! [X0: $i] :
( zero
= ( composition @ X0 @ ( complement @ ( composition @ top @ top ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9709,zip_derived_cl2044,zip_derived_cl9673,zip_derived_cl2583]) ).
thf(zip_derived_cl9795,plain,
! [X1: $i] :
( ( composition @ X1 @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl9766,zip_derived_cl9719]) ).
thf(zip_derived_cl2650_055,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl0]) ).
thf(zip_derived_cl104_056,plain,
( ( meet @ sk_ @ ( composition @ sk_ @ ( complement @ one ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).
thf(zip_derived_cl9795_057,plain,
! [X1: $i] :
( ( composition @ X1 @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl9766,zip_derived_cl9719]) ).
thf(zip_derived_cl16273,plain,
( ( meet @ ( complement @ one ) @ ( composition @ ( converse @ sk_ ) @ sk_ ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl16149,zip_derived_cl6911,zip_derived_cl9795,zip_derived_cl2650,zip_derived_cl104,zip_derived_cl9795]) ).
thf(zip_derived_cl136_058,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_cl19829,plain,
( ( complement @ one )
= ( join @ zero @ ( complement @ ( join @ ( complement @ ( complement @ one ) ) @ ( composition @ ( converse @ sk_ ) @ sk_ ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl16273,zip_derived_cl136]) ).
thf(zip_derived_cl2583_059,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl938]) ).
thf(zip_derived_cl938_060,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl910,zip_derived_cl12]) ).
thf(zip_derived_cl2672,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl938]) ).
thf(zip_derived_cl2583_061,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl938]) ).
thf(zip_derived_cl19850,plain,
( ( complement @ one )
= ( complement @ ( join @ one @ ( composition @ ( converse @ sk_ ) @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19829,zip_derived_cl2672,zip_derived_cl2583]) ).
thf(zip_derived_cl2672_062,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl938]) ).
thf(zip_derived_cl23917,plain,
( ( join @ one @ ( composition @ ( converse @ sk_ ) @ sk_ ) )
= ( complement @ ( complement @ one ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19850,zip_derived_cl2672]) ).
thf(zip_derived_cl2672_063,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl938]) ).
thf(zip_derived_cl23956,plain,
( ( join @ one @ ( composition @ ( converse @ sk_ ) @ sk_ ) )
= one ),
inference(demod,[status(thm)],[zip_derived_cl23917,zip_derived_cl2672]) ).
thf(zip_derived_cl17,plain,
( ( join @ ( composition @ ( converse @ sk_ ) @ sk_ ) @ one )
!= one ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_064,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl20,plain,
( ( join @ one @ ( composition @ ( converse @ sk_ ) @ sk_ ) )
!= one ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
thf(zip_derived_cl23957,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23956,zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL042+2 : 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.kwtHjYnUc4 true
% 0.13/0.34 % Computer : n012.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 20:25:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 30.26/4.92 % Solved by fo/fo5.sh.
% 30.26/4.92 % done 2268 iterations in 4.160s
% 30.26/4.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.26/4.92 % SZS output start Refutation
% See solution above
% 30.26/4.92
% 30.26/4.92
% 30.26/4.92 % Terminating...
% 30.99/5.03 % Runner terminated.
% 30.99/5.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------