TSTP Solution File: REL013+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL013+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.RseZidQbiV true
% Computer : n020.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 13:47:08 EDT 2023
% Result : Theorem 1.27s 1.17s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 128 ( 112 unt; 9 typ; 0 def)
% Number of atoms : 126 ( 125 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 537 ( 14 ~; 2 |; 2 &; 516 @)
% ( 0 <=>; 0 =>; 3 <=; 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 : 138 ( 0 ^; 138 !; 0 ?; 138 :)
% 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(goals,conjecture,
! [X0: $i] :
( ( ( composition @ zero @ X0 )
= zero )
& ( ( composition @ X0 @ zero )
= zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( ( composition @ zero @ X0 )
= zero )
& ( ( composition @ X0 @ zero )
= zero ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( ( composition @ zero @ sk_ )
!= zero )
| ( ( composition @ sk_ @ zero )
!= zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
( ( ( composition @ zero @ sk_ )
!= zero )
<= ( ( composition @ zero @ sk_ )
!= zero ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
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_cl51,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_cl60,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl51]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,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_cl30,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_cl72,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl30]) ).
thf(zip_derived_cl65_003,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl7]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl65]) ).
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_cl223,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl10]) ).
thf(zip_derived_cl65_004,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl7]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl73,plain,
( one
= ( converse @ one ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl5]) ).
thf(zip_derived_cl76_006,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl65]) ).
thf(zip_derived_cl232,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl73,zip_derived_cl76]) ).
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_cl242,plain,
! [X0: $i] :
( ( meet @ X0 @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl3]) ).
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(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_cl107,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_cl187,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl107]) ).
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_cl190,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( meet @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl3]) ).
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_009,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] :
( ( meet @ X0 @ ( complement @ X0 ) )
= ( complement @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl12_010,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl117,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl12]) ).
thf(zip_derived_cl232_011,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl73,zip_derived_cl76]) ).
thf(zip_derived_cl244,plain,
( ( join @ zero @ zero )
= zero ),
inference('s_sup+',[status(thm)],[zip_derived_cl117,zip_derived_cl232]) ).
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_cl250,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ zero @ X0 ) )
= ( join @ zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl244,zip_derived_cl1]) ).
thf(zip_derived_cl258,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl250]) ).
thf(zip_derived_cl190_012,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( meet @ X0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl3]) ).
thf(zip_derived_cl271,plain,
! [X0: $i] :
( X0
= ( meet @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl258,zip_derived_cl190]) ).
thf(zip_derived_cl374,plain,
! [X0: $i] :
( X0
= ( complement @ ( complement @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl271]) ).
thf(zip_derived_cl232_013,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl73,zip_derived_cl76]) ).
thf(zip_derived_cl380,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl232]) ).
thf(zip_derived_cl11_014,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_015,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_cl27,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_cl592,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ X0 @ ( complement @ X0 ) ) )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl27]) ).
thf(zip_derived_cl11_016,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl613,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl592,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_cl635,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl613,zip_derived_cl0]) ).
thf(zip_derived_cl76_017,plain,
! [X0: $i] :
( ( composition @ one @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl65]) ).
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_cl129,plain,
! [X0: $i,X1: $i] :
( ( composition @ ( join @ X1 @ one ) @ X0 )
= ( join @ ( composition @ X1 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl6]) ).
thf(zip_derived_cl669,plain,
! [X0: $i] :
( ( composition @ top @ X0 )
= ( join @ ( composition @ top @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl635,zip_derived_cl129]) ).
thf(zip_derived_cl613_018,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl11]) ).
thf(zip_derived_cl2861,plain,
( ( composition @ top @ top )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl669,zip_derived_cl613]) ).
thf(zip_derived_cl10_019,plain,
! [X0: $i,X1: $i] :
( ( join @ ( composition @ ( converse @ X1 ) @ ( complement @ ( composition @ X1 @ X0 ) ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(cnf,[status(esa)],[converse_cancellativity]) ).
thf(zip_derived_cl2878,plain,
( ( join @ ( composition @ ( converse @ top ) @ ( complement @ top ) ) @ ( complement @ top ) )
= ( complement @ top ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2861,zip_derived_cl10]) ).
thf(zip_derived_cl635_020,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl613,zip_derived_cl0]) ).
thf(zip_derived_cl7_021,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_cl48,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_cl847,plain,
! [X0: $i] :
( ( converse @ top )
= ( join @ ( converse @ top ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl635,zip_derived_cl48]) ).
thf(zip_derived_cl27_022,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_cl1262,plain,
( ( converse @ top )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl847,zip_derived_cl27]) ).
thf(zip_derived_cl117_023,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl12]) ).
thf(zip_derived_cl117_024,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl12]) ).
thf(zip_derived_cl669_025,plain,
! [X0: $i] :
( ( composition @ top @ X0 )
= ( join @ ( composition @ top @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl635,zip_derived_cl129]) ).
thf(zip_derived_cl117_026,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl12]) ).
thf(zip_derived_cl2884,plain,
( ( composition @ top @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl2878,zip_derived_cl1262,zip_derived_cl117,zip_derived_cl117,zip_derived_cl669,zip_derived_cl117]) ).
thf(zip_derived_cl6_027,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_cl2934,plain,
! [X0: $i] :
( ( composition @ ( join @ top @ X0 ) @ zero )
= ( join @ zero @ ( composition @ X0 @ zero ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2884,zip_derived_cl6]) ).
thf(zip_derived_cl635_028,plain,
! [X0: $i] :
( ( join @ top @ X0 )
= top ),
inference('s_sup+',[status(thm)],[zip_derived_cl613,zip_derived_cl0]) ).
thf(zip_derived_cl2884_029,plain,
( ( composition @ top @ zero )
= zero ),
inference(demod,[status(thm)],[zip_derived_cl2878,zip_derived_cl1262,zip_derived_cl117,zip_derived_cl117,zip_derived_cl669,zip_derived_cl117]) ).
thf(zip_derived_cl258_030,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl250]) ).
thf(zip_derived_cl2943,plain,
! [X0: $i] :
( zero
= ( composition @ X0 @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl2934,zip_derived_cl635,zip_derived_cl2884,zip_derived_cl258]) ).
thf(zip_derived_cl14,plain,
( ( ( composition @ sk_ @ zero )
!= zero )
<= ( ( composition @ sk_ @ zero )
!= zero ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl2976,plain,
( ( zero != zero )
<= ( ( composition @ sk_ @ zero )
!= zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2943,zip_derived_cl14]) ).
thf('0',plain,
( ( composition @ sk_ @ zero )
= zero ),
inference(simplify,[status(thm)],[zip_derived_cl2976]) ).
thf('1',plain,
( ( ( composition @ zero @ sk_ )
!= zero )
| ( ( composition @ sk_ @ zero )
!= zero ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('2',plain,
( ( composition @ zero @ sk_ )
!= zero ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl2992,plain,
( ( composition @ zero @ sk_ )
!= zero ),
inference(simpl_trail,[status(thm)],[zip_derived_cl15,'2']) ).
thf(zip_derived_cl258_031,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl250]) ).
thf(zip_derived_cl48_032,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_cl848,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( join @ ( converse @ zero ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl258,zip_derived_cl48]) ).
thf(zip_derived_cl7_033,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl862,plain,
! [X0: $i] :
( X0
= ( join @ ( converse @ zero ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl848,zip_derived_cl7]) ).
thf(zip_derived_cl258_034,plain,
! [X0: $i] :
( ( join @ zero @ X0 )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl250]) ).
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_cl265,plain,
! [X0: $i] :
( ( join @ X0 @ zero )
= X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl258,zip_derived_cl0]) ).
thf(zip_derived_cl889,plain,
( zero
= ( converse @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl862,zip_derived_cl265]) ).
thf(zip_derived_cl51_036,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_cl913,plain,
! [X0: $i] :
( ( converse @ ( composition @ zero @ X0 ) )
= ( composition @ ( converse @ X0 ) @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl889,zip_derived_cl51]) ).
thf(zip_derived_cl7_037,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl950,plain,
! [X0: $i] :
( ( converse @ ( composition @ ( converse @ X0 ) @ zero ) )
= ( composition @ zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl913,zip_derived_cl7]) ).
thf(zip_derived_cl2943_038,plain,
! [X0: $i] :
( zero
= ( composition @ X0 @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl2934,zip_derived_cl635,zip_derived_cl2884,zip_derived_cl258]) ).
thf(zip_derived_cl889_039,plain,
( zero
= ( converse @ zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl862,zip_derived_cl265]) ).
thf(zip_derived_cl2952,plain,
! [X0: $i] :
( zero
= ( composition @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl950,zip_derived_cl2943,zip_derived_cl889]) ).
thf(zip_derived_cl3067,plain,
zero != zero,
inference(demod,[status(thm)],[zip_derived_cl2992,zip_derived_cl2952]) ).
thf(zip_derived_cl3068,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL013+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RseZidQbiV true
% 0.13/0.35 % Computer : n020.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 20:53:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.82/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.17 % Solved by fo/fo1_av.sh.
% 1.27/1.17 % done 361 iterations in 0.389s
% 1.27/1.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/1.17 % SZS output start Refutation
% See solution above
% 1.27/1.18
% 1.27/1.18
% 1.27/1.18 % Terminating...
% 1.79/1.31 % Runner terminated.
% 1.79/1.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------