TSTP Solution File: REL018+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL018+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.zY1CsiBZ4P true
% Computer : n029.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 13:47:11 EDT 2023
% Result : Theorem 1.30s 1.31s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 124 ( 113 unt; 9 typ; 0 def)
% Number of atoms : 117 ( 116 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 537 ( 2 ~; 0 |; 0 &; 533 @)
% ( 0 <=>; 2 =>; 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 : 135 ( 0 ^; 135 !; 0 ?; 135 :)
% 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(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_cl48,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_cl55,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl48]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,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_cl25,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_cl78,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl25]) ).
thf(zip_derived_cl60_003,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl7]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl60]) ).
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_cl194,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl10]) ).
thf(zip_derived_cl60_004,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl7]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl79,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl5]) ).
thf(zip_derived_cl82_006,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl60]) ).
thf(zip_derived_cl204,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl79,zip_derived_cl82]) ).
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_cl212,plain,
! [X0: $i] :
( X0
= ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) ) @ ( complement @ ( complement @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl2]) ).
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(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(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_cl17,plain,
! [X0: $i] :
( zero
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl11_007,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl18,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl11,zip_derived_cl18]) ).
thf(zip_derived_cl18_008,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).
thf(zip_derived_cl204_009,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl79,zip_derived_cl82]) ).
thf(zip_derived_cl214,plain,
( ( join @ zero @ zero )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl204]) ).
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_cl219,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ zero @ X0 ) )
= ( join @ zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl1]) ).
thf(zip_derived_cl982,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl219]) ).
thf(zip_derived_cl216_010,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl11,zip_derived_cl18]) ).
thf(zip_derived_cl1012,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl216]) ).
thf(zip_derived_cl204_011,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl79,zip_derived_cl82]) ).
thf(zip_derived_cl1064,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl1012,zip_derived_cl204]) ).
thf(zip_derived_cl11_012,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_013,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_cl69,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_cl1177,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ X0 @ ( complement @ X0 ) ) )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl1064,zip_derived_cl69]) ).
thf(zip_derived_cl11_014,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1197,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1177,zip_derived_cl11]) ).
thf(zip_derived_cl82_015,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl60]) ).
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_cl164,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( join @ one @ X1 ) @ X0 )
= ( join @ X0 @ ( composition @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl6]) ).
thf(zip_derived_cl1268,plain,
! [X0: $i] :
( ( composition @ top @ X0 )
= ( join @ X0 @ ( composition @ top @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1197,zip_derived_cl164]) ).
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_cl101,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_cl2259,plain,
! [X0: $i] :
( ( converse @ ( composition @ top @ ( converse @ X0 ) ) )
= ( join @ X0 @ ( converse @ ( composition @ top @ ( converse @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1268,zip_derived_cl101]) ).
thf(zip_derived_cl1197_017,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1177,zip_derived_cl11]) ).
thf(zip_derived_cl101_018,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_cl1269,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ X0 @ ( converse @ top ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1197,zip_derived_cl101]) ).
thf(zip_derived_cl1012_019,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl216]) ).
thf(zip_derived_cl11_020,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1062,plain,
! [X0: $i] :
( top
= ( join @ ( complement @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1012,zip_derived_cl11]) ).
thf(zip_derived_cl1948,plain,
( top
= ( converse @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1269,zip_derived_cl1062]) ).
thf(zip_derived_cl48_021,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_cl1983,plain,
! [X0: $i] :
( ( converse @ ( composition @ top @ X0 ) )
= ( composition @ ( converse @ X0 ) @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1948,zip_derived_cl48]) ).
thf(zip_derived_cl7_022,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl1983_023,plain,
! [X0: $i] :
( ( converse @ ( composition @ top @ X0 ) )
= ( composition @ ( converse @ X0 ) @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1948,zip_derived_cl48]) ).
thf(zip_derived_cl7_024,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl2270,plain,
! [X0: $i] :
( ( composition @ X0 @ top )
= ( join @ X0 @ ( composition @ X0 @ top ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2259,zip_derived_cl1983,zip_derived_cl7,zip_derived_cl1983,zip_derived_cl7]) ).
thf(zip_derived_cl982_025,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl219]) ).
thf(goals,conjecture,
! [X0: $i] :
( ( ( composition @ X0 @ top )
= X0 )
=> ( ( composition @ ( complement @ X0 ) @ top )
= ( complement @ X0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( ( composition @ X0 @ top )
= X0 )
=> ( ( composition @ ( complement @ X0 ) @ top )
= ( complement @ X0 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( composition @ sk_ @ top )
= sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_026,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_cl197,plain,
( ( join @ ( composition @ ( converse @ sk_ ) @ ( complement @ sk_ ) ) @ ( complement @ top ) )
= ( complement @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl10]) ).
thf(zip_derived_cl18_027,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).
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_cl18_028,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).
thf(zip_derived_cl206,plain,
( ( join @ zero @ ( composition @ ( converse @ sk_ ) @ ( complement @ sk_ ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl18,zip_derived_cl0,zip_derived_cl18]) ).
thf(zip_derived_cl1013,plain,
( ( composition @ ( converse @ sk_ ) @ ( complement @ sk_ ) )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl206]) ).
thf(zip_derived_cl48_029,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_cl1082,plain,
( ( converse @ zero )
= ( composition @ ( converse @ ( complement @ sk_ ) ) @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1013,zip_derived_cl48]) ).
thf(zip_derived_cl982_030,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl219]) ).
thf(zip_derived_cl7_031,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl8_032,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl98,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_cl1009,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( join @ ( converse @ zero ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl98]) ).
thf(zip_derived_cl7_033,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl1018,plain,
! [X0: $i] :
( X0
= ( join @ ( converse @ zero ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1009,zip_derived_cl7]) ).
thf(zip_derived_cl982_034,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl219]) ).
thf(zip_derived_cl0_035,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl998,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl0]) ).
thf(zip_derived_cl1603,plain,
( zero
= ( converse @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1018,zip_derived_cl998]) ).
thf(zip_derived_cl1919,plain,
( zero
= ( composition @ ( converse @ ( complement @ sk_ ) ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1082,zip_derived_cl1603]) ).
thf(zip_derived_cl10_036,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_cl1923,plain,
( ( join @ ( composition @ ( converse @ ( converse @ ( complement @ sk_ ) ) ) @ ( complement @ zero ) ) @ ( complement @ sk_ ) )
= ( complement @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1919,zip_derived_cl10]) ).
thf(zip_derived_cl7_037,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl982_038,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl219]) ).
thf(zip_derived_cl11_039,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1006,plain,
( top
= ( complement @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl11]) ).
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_cl1931,plain,
( ( join @ ( complement @ sk_ ) @ ( composition @ ( complement @ sk_ ) @ top ) )
= ( complement @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1923,zip_derived_cl7,zip_derived_cl1006,zip_derived_cl0]) ).
thf(zip_derived_cl3638,plain,
( ( composition @ ( complement @ sk_ ) @ top )
= ( complement @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2270,zip_derived_cl1931]) ).
thf(zip_derived_cl14,plain,
( ( composition @ ( complement @ sk_ ) @ top )
!= ( complement @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3665,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3638,zip_derived_cl14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zY1CsiBZ4P true
% 0.15/0.35 % Computer : n029.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 19:44:39 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.31 % Solved by fo/fo1_av.sh.
% 1.30/1.31 % done 411 iterations in 0.526s
% 1.30/1.31 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/1.31 % SZS output start Refutation
% See solution above
% 1.30/1.31
% 1.30/1.31
% 1.30/1.31 % Terminating...
% 2.49/1.37 % Runner terminated.
% 2.49/1.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------