%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL010+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vnubf2DEut true
% Computer : n006.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 04:49:57 PM UTC 2025
% Result : Theorem 24.31s 4.08s
% Output : Refutation 24.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 142 ( 140 unt; 0 typ; 0 def)
% Number of atoms : 144 ( 143 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 885 ( 2 ~; 0 |; 0 &; 881 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 190 ( 0 ^; 190 !; 0 ?; 190 :)
% 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 @ ( composition @ X0 @ X1 ) @ X2 )
= zero )
=> ( ( meet @ X1 @ ( composition @ ( converse @ X0 ) @ X2 ) )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( meet @ ( composition @ X0 @ X1 ) @ X2 )
= zero )
=> ( ( meet @ X1 @ ( composition @ ( converse @ X0 ) @ X2 ) )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl16,plain,
( ( meet @ ( composition @ sk_ @ sk__1 ) @ sk__2 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl2_001,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_cl103,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X1 ) )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl2]) ).
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(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_cl104,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X1 ) )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ X0 ) @ ( join @ X1 @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl0,zip_derived_cl1]) ).
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_cl2497,plain,
! [X0: $i,X1: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X1 ) )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ X0 ) @ ( join @ X1 @ ( meet @ X0 @ X1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl3]) ).
thf(zip_derived_cl2524,plain,
( ( join @ ( complement @ ( composition @ sk_ @ sk__1 ) ) @ ( complement @ sk__2 ) )
= ( join @ ( complement @ ( composition @ sk_ @ sk__1 ) ) @ ( complement @ ( join @ ( complement @ ( composition @ sk_ @ sk__1 ) ) @ ( join @ sk__2 @ zero ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl2497]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
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_cl53,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_cl62,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl53]) ).
thf(zip_derived_cl7_003,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl5_004,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_cl32,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_cl74,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl32]) ).
thf(zip_derived_cl67_005,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl67]) ).
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_cl208,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl10]) ).
thf(zip_derived_cl67_006,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl7]) ).
thf(zip_derived_cl5_007,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl75,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl5]) ).
thf(zip_derived_cl78_008,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl67]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl75,zip_derived_cl78]) ).
thf(zip_derived_cl2_009,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_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_cl109,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_cl227,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ ( complement @ X0 ) ) @ ( complement @ ( complement @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl109]) ).
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_cl233,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227,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_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_cl116,plain,
! [X0: $i] :
( ( meet @ X0 @ ( complement @ X0 ) )
= ( complement @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl12_012,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl119,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl12]) ).
thf(zip_derived_cl216_013,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl75,zip_derived_cl78]) ).
thf(zip_derived_cl230,plain,
( ( join @ zero @ zero )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl216]) ).
thf(zip_derived_cl1_014,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_cl236,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ zero @ X0 ) )
= ( join @ zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl230,zip_derived_cl1]) ).
thf(zip_derived_cl536,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl236]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl544,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl0]) ).
thf(zip_derived_cl0_016,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl536_017,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl236]) ).
thf(zip_derived_cl16_018,plain,
( ( meet @ ( composition @ sk_ @ sk__1 ) @ sk__2 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl109_019,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_cl194,plain,
( ( composition @ sk_ @ sk__1 )
= ( join @ zero @ ( complement @ ( join @ ( complement @ ( composition @ sk_ @ sk__1 ) ) @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl109]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl198,plain,
( ( composition @ sk_ @ sk__1 )
= ( join @ zero @ ( complement @ ( join @ sk__2 @ ( complement @ ( composition @ sk_ @ sk__1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl0]) ).
thf(zip_derived_cl554,plain,
( ( composition @ sk_ @ sk__1 )
= ( complement @ ( join @ sk__2 @ ( complement @ ( composition @ sk_ @ sk__1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl198]) ).
thf(zip_derived_cl233_021,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl12]) ).
thf(zip_derived_cl614,plain,
( ( join @ sk__2 @ ( complement @ ( composition @ sk_ @ sk__1 ) ) )
= ( join @ zero @ ( complement @ ( composition @ sk_ @ sk__1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl233]) ).
thf(zip_derived_cl536_022,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl236]) ).
thf(zip_derived_cl616,plain,
( ( join @ sk__2 @ ( complement @ ( composition @ sk_ @ sk__1 ) ) )
= ( complement @ ( composition @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl536]) ).
thf(zip_derived_cl536_023,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl236]) ).
thf(zip_derived_cl233_024,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl12]) ).
thf(zip_derived_cl555,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl233]) ).
thf(zip_derived_cl555_025,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl233]) ).
thf(zip_derived_cl11_026,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl691,plain,
! [X0: $i] :
( top
= ( join @ ( complement @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl11]) ).
thf(zip_derived_cl2548,plain,
( ( join @ ( complement @ sk__2 ) @ ( complement @ ( composition @ sk_ @ sk__1 ) ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl2524,zip_derived_cl0,zip_derived_cl544,zip_derived_cl0,zip_derived_cl616,zip_derived_cl555,zip_derived_cl691]) ).
thf(zip_derived_cl3_027,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_cl3068,plain,
( ( meet @ sk__2 @ ( composition @ sk_ @ sk__1 ) )
= ( complement @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2548,zip_derived_cl3]) ).
thf(zip_derived_cl119_028,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl12]) ).
thf(zip_derived_cl3078,plain,
( ( meet @ sk__2 @ ( composition @ sk_ @ sk__1 ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl3068,zip_derived_cl119]) ).
thf(zip_derived_cl7_029,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_cl284,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('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl12693,plain,
( ( join @ ( meet @ ( composition @ ( converse @ sk_ ) @ sk__2 ) @ sk__1 ) @ ( composition @ ( meet @ ( converse @ sk_ ) @ ( composition @ sk__1 @ ( converse @ sk__2 ) ) ) @ zero ) )
= ( composition @ ( meet @ ( converse @ sk_ ) @ ( composition @ sk__1 @ ( converse @ sk__2 ) ) ) @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3078,zip_derived_cl284]) ).
thf(zip_derived_cl0_030,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl3_031,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_cl114,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_032,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_cl3332,plain,
! [X0: $i,X1: $i] :
( ( meet @ X0 @ X1 )
= ( meet @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl3]) ).
thf(zip_derived_cl75_033,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl5]) ).
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_cl82,plain,
! [X0: $i] :
( ( converse @ ( join @ one @ X0 ) )
= ( join @ one @ ( converse @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl8]) ).
thf(zip_derived_cl7_034,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( converse @ ( join @ one @ ( converse @ X0 ) ) )
= ( join @ one @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl7]) ).
thf(zip_derived_cl16_035,plain,
( ( meet @ ( composition @ sk_ @ sk__1 ) @ sk__2 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_036,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_037,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_cl204,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_cl10157,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ X0 ) @ ( complement @ ( composition @ X0 @ ( join @ ( complement @ ( composition @ sk_ @ sk__1 ) ) @ ( complement @ sk__2 ) ) ) ) ) @ zero )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl204]) ).
thf(zip_derived_cl2548_038,plain,
( ( join @ ( complement @ sk__2 ) @ ( complement @ ( composition @ sk_ @ sk__1 ) ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl2524,zip_derived_cl0,zip_derived_cl544,zip_derived_cl0,zip_derived_cl616,zip_derived_cl555,zip_derived_cl691]) ).
thf(zip_derived_cl555_039,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl233]) ).
thf(zip_derived_cl216_040,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl75,zip_derived_cl78]) ).
thf(zip_derived_cl694,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl216]) ).
thf(zip_derived_cl1_041,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_cl0_042,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,X2: $i] :
( ( join @ X0 @ ( join @ X2 @ X1 ) )
= ( join @ X2 @ ( join @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl753,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ ( join @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl694,zip_derived_cl20]) ).
thf(zip_derived_cl4964,plain,
( ( join @ ( complement @ ( composition @ sk_ @ sk__1 ) ) @ ( complement @ sk__2 ) )
= ( join @ ( complement @ sk__2 ) @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2548,zip_derived_cl753]) ).
thf(zip_derived_cl694_043,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl216]) ).
thf(zip_derived_cl11_044,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
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_cl23,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_cl751,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ X0 @ ( complement @ X0 ) ) )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl694,zip_derived_cl23]) ).
thf(zip_derived_cl11_046,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl764,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl751,zip_derived_cl11]) ).
thf(zip_derived_cl4991,plain,
( ( join @ ( complement @ ( composition @ sk_ @ sk__1 ) ) @ ( complement @ sk__2 ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl4964,zip_derived_cl764]) ).
thf(zip_derived_cl544_047,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl0]) ).
thf(zip_derived_cl10230,plain,
! [X0: $i] :
( ( composition @ ( converse @ X0 ) @ ( complement @ ( composition @ X0 @ top ) ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl10157,zip_derived_cl4991,zip_derived_cl544]) ).
thf(zip_derived_cl10314,plain,
! [X0: $i] :
( ( composition @ ( join @ one @ X0 ) @ ( complement @ ( composition @ ( join @ one @ ( converse @ X0 ) ) @ top ) ) )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl10230]) ).
thf(zip_derived_cl78_048,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl67]) ).
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_cl160,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( join @ one @ X1 ) @ X0 )
= ( join @ X0 @ ( composition @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl6]) ).
thf(zip_derived_cl764_049,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl751,zip_derived_cl11]) ).
thf(zip_derived_cl0_050,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl772,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl764,zip_derived_cl0]) ).
thf(zip_derived_cl119_051,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl12]) ).
thf(zip_derived_cl160_052,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( join @ one @ X1 ) @ X0 )
= ( join @ X0 @ ( composition @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl6]) ).
thf(zip_derived_cl536_053,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl236]) ).
thf(zip_derived_cl10345,plain,
! [X0: $i] :
( ( composition @ X0 @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl10314,zip_derived_cl160,zip_derived_cl772,zip_derived_cl119,zip_derived_cl160,zip_derived_cl536]) ).
thf(zip_derived_cl544_054,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl0]) ).
thf(zip_derived_cl10345_055,plain,
! [X0: $i] :
( ( composition @ X0 @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl10314,zip_derived_cl160,zip_derived_cl772,zip_derived_cl119,zip_derived_cl160,zip_derived_cl536]) ).
thf(zip_derived_cl12824,plain,
( ( meet @ sk__1 @ ( composition @ ( converse @ sk_ ) @ sk__2 ) )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl12693,zip_derived_cl3332,zip_derived_cl10345,zip_derived_cl544,zip_derived_cl10345]) ).
thf(zip_derived_cl17,plain,
( ( meet @ sk__1 @ ( composition @ ( converse @ sk_ ) @ sk__2 ) )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12825,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12824,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL010+2 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vnubf2DEut true
% 0.13/0.34 % Computer : n006.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 12:19:08 EDT 2025
% 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.41/0.60 % Total configuration time : 435
% 0.41/0.60 % Estimated wc time : 1092
% 0.41/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 24.31/4.08 % Solved by fo/fo1_av.sh.
% 24.31/4.08 % done 1072 iterations in 3.321s
% 24.31/4.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.31/4.08 % SZS output start Refutation
% See solution above
% 24.31/4.08
% 24.31/4.08
% 24.31/4.08 % Terminating...
% 24.81/4.16 % Runner terminated.
% 24.81/4.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------