TSTP Solution File: REL011+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL011+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.FQj9oeSPOX true
% Computer : n026.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 13:47:07 EDT 2023
% Result : Theorem 11.47s 2.28s
% Output : Refutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 25
% Syntax : Number of formulae : 138 ( 125 unt; 11 typ; 0 def)
% Number of atoms : 129 ( 128 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 724 ( 3 ~; 0 |; 0 &; 719 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 164 ( 0 ^; 164 !; 0 ?; 164 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i ).
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(sk__2_type,type,
sk__2: $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,X1: $i,X2: $i] :
( ( ( meet @ X0 @ ( composition @ ( converse @ X1 ) @ X2 ) )
= zero )
=> ( ( meet @ ( composition @ X1 @ X0 ) @ X2 )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( meet @ X0 @ ( composition @ ( converse @ X1 ) @ X2 ) )
= zero )
=> ( ( meet @ ( composition @ X1 @ X0 ) @ X2 )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl16,plain,
( ( meet @ sk_ @ ( composition @ ( converse @ sk__1 ) @ sk__2 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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_cl148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( join @ ( meet @ ( composition @ X1 @ X2 ) @ X0 ) @ ( join @ ( composition @ ( meet @ X1 @ ( composition @ X0 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ ( converse @ X1 ) @ X0 ) ) ) @ X3 ) )
= ( join @ ( composition @ ( meet @ X1 @ ( composition @ X0 @ ( converse @ X2 ) ) ) @ ( meet @ X2 @ ( composition @ ( converse @ X1 ) @ X0 ) ) ) @ X3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl11099,plain,
! [X0: $i] :
( ( join @ ( meet @ ( composition @ sk__1 @ sk_ ) @ sk__2 ) @ ( join @ ( composition @ ( meet @ sk__1 @ ( composition @ sk__2 @ ( converse @ sk_ ) ) ) @ zero ) @ X0 ) )
= ( join @ ( composition @ ( meet @ sk__1 @ ( composition @ sk__2 @ ( converse @ sk_ ) ) ) @ ( meet @ sk_ @ ( composition @ ( converse @ sk__1 ) @ sk__2 ) ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl148]) ).
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_cl90,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_001,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_cl5556,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl3]) ).
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_cl24,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_cl51,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl24]) ).
thf(zip_derived_cl7_002,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl55_003,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl5_004,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl57,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl5]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( X0
= ( composition @ one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl57]) ).
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_cl102,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl10]) ).
thf(zip_derived_cl57_005,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl5]) ).
thf(zip_derived_cl61_006,plain,
! [X0: $i] :
( X0
= ( composition @ one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl57]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl57,zip_derived_cl61]) ).
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_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_cl125,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_cl370,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ ( complement @ X0 ) ) @ ( complement @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl108,zip_derived_cl125]) ).
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_cl382,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl12]) ).
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_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_cl92,plain,
! [X0: $i] :
( ( meet @ X0 @ ( complement @ X0 ) )
= ( complement @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl12_009,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl95,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl12]) ).
thf(zip_derived_cl108_010,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl374,plain,
( ( join @ ( complement @ top ) @ zero )
= ( complement @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl108]) ).
thf(zip_derived_cl95_011,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl12]) ).
thf(zip_derived_cl95_012,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl12]) ).
thf(zip_derived_cl378,plain,
( ( join @ zero @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl374,zip_derived_cl95,zip_derived_cl95]) ).
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_cl386,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ zero @ X0 ) )
= ( join @ zero @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl1]) ).
thf(zip_derived_cl547,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl386]) ).
thf(zip_derived_cl382_014,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl12]) ).
thf(zip_derived_cl555,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl382]) ).
thf(zip_derived_cl382_015,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl12]) ).
thf(zip_derived_cl574,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl382]) ).
thf(zip_derived_cl108_016,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl667,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl108]) ).
thf(zip_derived_cl574_017,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl382]) ).
thf(zip_derived_cl574_018,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl382]) ).
thf(zip_derived_cl678,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl667,zip_derived_cl574,zip_derived_cl574]) ).
thf(zip_derived_cl11_019,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_020,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_cl34,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_cl1493,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ X0 @ ( complement @ X0 ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl678,zip_derived_cl34]) ).
thf(zip_derived_cl11_021,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1530,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl11]) ).
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_cl23,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_cl1578,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ X0 @ ( converse @ top ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl23]) ).
thf(zip_derived_cl574_023,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl382]) ).
thf(zip_derived_cl11_024,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl665,plain,
! [X0: $i] :
( top
= ( join @ ( complement @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl11]) ).
thf(zip_derived_cl1651,plain,
( top
= ( converse @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl1578,zip_derived_cl665]) ).
thf(zip_derived_cl12_025,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
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_cl10_027,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_cl99,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_028,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_cl107,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_cl99,zip_derived_cl3]) ).
thf(zip_derived_cl7198,plain,
! [X0: $i,X1: $i] :
( ( join @ ( composition @ ( converse @ X1 ) @ ( complement @ ( composition @ X1 @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) ) ) ) @ zero )
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl107]) ).
thf(zip_derived_cl574_029,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl382]) ).
thf(zip_derived_cl665_030,plain,
! [X0: $i] :
( top
= ( join @ ( complement @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl11]) ).
thf(zip_derived_cl555_031,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl382]) ).
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_cl563,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl0]) ).
thf(zip_derived_cl12_033,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl7285,plain,
! [X1: $i] :
( ( composition @ ( converse @ X1 ) @ ( complement @ ( composition @ X1 @ top ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl7198,zip_derived_cl574,zip_derived_cl665,zip_derived_cl563,zip_derived_cl12]) ).
thf(zip_derived_cl7414,plain,
( ( composition @ top @ ( complement @ ( composition @ top @ top ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl1651,zip_derived_cl7285]) ).
thf(zip_derived_cl7414_034,plain,
( ( composition @ top @ ( complement @ ( composition @ top @ top ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl1651,zip_derived_cl7285]) ).
thf(zip_derived_cl61_035,plain,
! [X0: $i] :
( X0
= ( composition @ one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl57]) ).
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_cl117,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( join @ X1 @ one ) @ X0 )
= ( join @ ( composition @ X1 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl6]) ).
thf(zip_derived_cl8699,plain,
( ( composition @ ( join @ top @ one ) @ ( complement @ ( composition @ top @ top ) ) )
= ( join @ zero @ ( complement @ ( composition @ top @ top ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7414,zip_derived_cl117]) ).
thf(zip_derived_cl1530_036,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl11]) ).
thf(zip_derived_cl0_037,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl1568,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl0]) ).
thf(zip_derived_cl7414_038,plain,
( ( composition @ top @ ( complement @ ( composition @ top @ top ) ) )
= zero ),
inference('sup+',[status(thm)],[zip_derived_cl1651,zip_derived_cl7285]) ).
thf(zip_derived_cl555_039,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl382]) ).
thf(zip_derived_cl8710,plain,
( zero
= ( complement @ ( composition @ top @ top ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8699,zip_derived_cl1568,zip_derived_cl7414,zip_derived_cl555]) ).
thf(zip_derived_cl8745,plain,
( ( composition @ top @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl7414,zip_derived_cl8710]) ).
thf(zip_derived_cl6_040,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_cl8818,plain,
! [X0: $i] :
( ( composition @ ( join @ top @ X0 ) @ zero )
= ( join @ zero @ ( composition @ X0 @ zero ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8745,zip_derived_cl6]) ).
thf(zip_derived_cl1568_041,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl0]) ).
thf(zip_derived_cl8745_042,plain,
( ( composition @ top @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl7414,zip_derived_cl8710]) ).
thf(zip_derived_cl555_043,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl382]) ).
thf(zip_derived_cl8837,plain,
! [X0: $i] :
( zero
= ( composition @ X0 @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl8818,zip_derived_cl1568,zip_derived_cl8745,zip_derived_cl555]) ).
thf(zip_derived_cl555_044,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl382]) ).
thf(zip_derived_cl16_045,plain,
( ( meet @ sk_ @ ( composition @ ( converse @ sk__1 ) @ sk__2 ) )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8837_046,plain,
! [X0: $i] :
( zero
= ( composition @ X0 @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl8818,zip_derived_cl1568,zip_derived_cl8745,zip_derived_cl555]) ).
thf(zip_derived_cl555_047,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl382]) ).
thf(zip_derived_cl11227,plain,
! [X0: $i] :
( ( join @ ( meet @ sk__2 @ ( composition @ sk__1 @ sk_ ) ) @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl11099,zip_derived_cl5556,zip_derived_cl8837,zip_derived_cl555,zip_derived_cl16,zip_derived_cl8837,zip_derived_cl555]) ).
thf(zip_derived_cl563_048,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl0]) ).
thf(zip_derived_cl11363,plain,
( zero
= ( meet @ sk__2 @ ( composition @ sk__1 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11227,zip_derived_cl563]) ).
thf(zip_derived_cl17,plain,
( ( meet @ ( composition @ sk__1 @ sk_ ) @ sk__2 )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5556_049,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl3]) ).
thf(zip_derived_cl5591,plain,
( ( meet @ sk__2 @ ( composition @ sk__1 @ sk_ ) )
!= zero ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl5556]) ).
thf(zip_derived_cl11389,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11363,zip_derived_cl5591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FQj9oeSPOX true
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 19:20:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.24/2.28 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 11.47/2.28 % Solved by fo/fo5.sh.
% 11.47/2.28 % done 1101 iterations in 1.482s
% 11.47/2.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.47/2.28 % SZS output start Refutation
% See solution above
% 11.47/2.28
% 11.47/2.28
% 11.47/2.28 % Terminating...
% 11.87/2.36 % Runner terminated.
% 11.87/2.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------