%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL024+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LDngLmh1uZ true
% Computer : n016.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 Oct 2 04:50:02 PM UTC 2025
% Result : Theorem 52.32s 8.08s
% Output : Refutation 52.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 100 ( 100 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 99 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 726 ( 5 ~; 0 |; 0 &; 721 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 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__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(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] :
( ( 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_cl16,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_cl19,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_cl16,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_cl85,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_cl24,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_cl207,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_cl24,zip_derived_cl8]) ).
thf(zip_derived_cl10090,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_cl85,zip_derived_cl207]) ).
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_cl20,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_cl10139,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_cl10090,zip_derived_cl20,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_cl11541,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_cl19,zip_derived_cl10139,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_cl41,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_cl961,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,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_cl53,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(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_cl24_012,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_cl221,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl24]) ).
thf(zip_derived_cl7_013,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl228,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl7]) ).
thf(zip_derived_cl5_014,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_cl74,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_cl244,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl74]) ).
thf(zip_derived_cl228_015,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl7]) ).
thf(zip_derived_cl256,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl228]) ).
thf(zip_derived_cl256_016,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl228]) ).
thf(zip_derived_cl6_017,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_cl303,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( join @ one @ X1 ) @ X0 )
= ( join @ X0 @ ( composition @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl256,zip_derived_cl6]) ).
thf(zip_derived_cl1460,plain,
! [X0: $i] :
( ( composition @ ( join @ one @ one ) @ X0 )
= ( join @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl256,zip_derived_cl303]) ).
thf(zip_derived_cl256_018,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl228]) ).
thf(zip_derived_cl3_019,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).
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_cl111,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('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl2825,plain,
! [X0: $i,X1: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ ( join @ ( complement @ X1 ) @ ( complement @ X0 ) ) ) ) @ ( meet @ X1 @ X0 ) )
= ( meet @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl256,zip_derived_cl111]) ).
thf(zip_derived_cl228_020,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl7]) ).
thf(zip_derived_cl5_021,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl245,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl5]) ).
thf(zip_derived_cl3_022,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_cl256_023,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl228]) ).
thf(zip_derived_cl1460_024,plain,
! [X0: $i] :
( ( composition @ ( join @ one @ one ) @ X0 )
= ( join @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl256,zip_derived_cl303]) ).
thf(zip_derived_cl7_025,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl8_026,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl22,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_cl1479,plain,
! [X0: $i] :
( ( converse @ ( composition @ ( join @ one @ one ) @ ( converse @ X0 ) ) )
= ( join @ ( converse @ ( converse @ X0 ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1460,zip_derived_cl22]) ).
thf(zip_derived_cl7_027,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
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_cl25,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X1 @ ( converse @ X0 ) ) )
= ( composition @ X0 @ ( converse @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).
thf(zip_derived_cl245_029,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl5]) ).
thf(zip_derived_cl245_030,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl5]) ).
thf(zip_derived_cl8_031,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( join @ X0 @ X1 ) )
= ( join @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_additivity]) ).
thf(zip_derived_cl261,plain,
! [X0: $i] :
( ( converse @ ( join @ one @ X0 ) )
= ( join @ one @ ( converse @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl245,zip_derived_cl8]) ).
thf(zip_derived_cl7_032,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl358,plain,
! [X0: $i] :
( ( converse @ ( join @ one @ ( converse @ X0 ) ) )
= ( join @ one @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl7]) ).
thf(zip_derived_cl747,plain,
( ( converse @ ( join @ one @ one ) )
= ( join @ one @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl245,zip_derived_cl358]) ).
thf(zip_derived_cl7_033,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl1513,plain,
! [X0: $i] :
( ( composition @ X0 @ ( join @ one @ one ) )
= ( join @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl25,zip_derived_cl747,zip_derived_cl7]) ).
thf(zip_derived_cl2870,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( meet @ X1 @ X0 ) @ ( join @ one @ one ) )
= ( meet @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2825,zip_derived_cl245,zip_derived_cl3,zip_derived_cl256,zip_derived_cl1513]) ).
thf(zip_derived_cl4_034,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_cl3269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( meet @ X1 @ X0 ) @ ( composition @ ( join @ one @ one ) @ X2 ) )
= ( composition @ ( meet @ X1 @ X0 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2870,zip_derived_cl4]) ).
thf(zip_derived_cl3337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( composition @ ( meet @ X2 @ X1 ) @ ( join @ X0 @ X0 ) )
= ( composition @ ( meet @ X2 @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1460,zip_derived_cl3269]) ).
thf(zip_derived_cl10139_035,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_cl10090,zip_derived_cl20,zip_derived_cl9,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl11580,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_cl3337,zip_derived_cl10139]) ).
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_cl10139_036,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_cl10090,zip_derived_cl20,zip_derived_cl9,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl11617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( composition @ ( meet @ X2 @ X1 ) @ ( join @ X0 @ ( join @ X0 @ X3 ) ) )
= ( composition @ ( meet @ X2 @ X1 ) @ ( join @ X0 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11580,zip_derived_cl1,zip_derived_cl10139]) ).
thf(zip_derived_cl14367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( composition @ ( meet @ X3 @ X2 ) @ ( join @ ( meet @ X0 @ X1 ) @ X0 ) )
= ( composition @ ( meet @ X3 @ X2 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl11617]) ).
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_cl14480,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_cl14367,zip_derived_cl0]) ).
thf(zip_derived_cl19742,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_cl961,zip_derived_cl14480]) ).
thf(zip_derived_cl24018,plain,
( ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 )
!= ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl11541,zip_derived_cl19742]) ).
thf(zip_derived_cl24019,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl24018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL024+2 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LDngLmh1uZ true
% 0.13/0.34 % Computer : n016.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 : Wed Oct 1 12:20:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 52.32/8.08 % Solved by fo/fo6_bce.sh.
% 52.32/8.08 % BCE start: 17
% 52.32/8.08 % BCE eliminated: 0
% 52.32/8.08 % PE start: 17
% 52.32/8.08 logic: eq
% 52.32/8.08 % PE eliminated: 0
% 52.32/8.08 % done 766 iterations in 7.362s
% 52.32/8.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 52.32/8.08 % SZS output start Refutation
% See solution above
% 52.32/8.08
% 52.32/8.08
% 52.32/8.08 % Terminating...
% 52.32/8.16 % Runner terminated.
% 52.32/8.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------