TSTP Solution File: REL048+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : REL048+1 : 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.afUreZWu18 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 13:47:32 EDT 2023
% Result : Theorem 6.72s 1.59s
% Output : Refutation 6.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 135 ( 120 unt; 11 typ; 0 def)
% Number of atoms : 130 ( 129 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 653 ( 6 ~; 2 |; 2 &; 641 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 155 ( 0 ^; 155 !; 0 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(join_type,type,
join: $i > $i > $i ).
thf(converse_type,type,
converse: $i > $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(sk__2_type,type,
sk__2: $i ).
thf(one_type,type,
one: $i ).
thf(composition_identity,axiom,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(converse_idempotence,axiom,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(converse_multiplicativity,axiom,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X0 @ X1 ) )
= ( composition @ ( converse @ X1 ) @ ( converse @ X0 ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( converse @ ( composition @ X1 @ X0 ) )
= ( composition @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
inference(cnf,[status(esa)],[converse_multiplicativity]) ).
thf(zip_derived_cl35,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_cl1416,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= ( composition @ ( converse @ one ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl35]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i] :
( ( converse @ ( converse @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[converse_idempotence]) ).
thf(zip_derived_cl1422,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1416,zip_derived_cl7]) ).
thf(zip_derived_cl1422_002,plain,
! [X0: $i] :
( X0
= ( composition @ ( converse @ one ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1416,zip_derived_cl7]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i] :
( ( composition @ X0 @ one )
= X0 ),
inference(cnf,[status(esa)],[composition_identity]) ).
thf(zip_derived_cl1433,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl1422,zip_derived_cl5]) ).
thf(zip_derived_cl1439,plain,
! [X0: $i] :
( X0
= ( composition @ one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1422,zip_derived_cl1433]) ).
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_cl1463,plain,
! [X0: $i] :
( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1439,zip_derived_cl10]) ).
thf(zip_derived_cl1433_004,plain,
( one
= ( converse @ one ) ),
inference('sup+',[status(thm)],[zip_derived_cl1422,zip_derived_cl5]) ).
thf(zip_derived_cl1439_005,plain,
! [X0: $i] :
( X0
= ( composition @ one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1422,zip_derived_cl1433]) ).
thf(zip_derived_cl1464,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1463,zip_derived_cl1433,zip_derived_cl1439]) ).
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(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_cl267,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_cl1942,plain,
! [X0: $i] :
( X0
= ( join @ ( meet @ X0 @ ( complement @ X0 ) ) @ ( complement @ ( complement @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1464,zip_derived_cl267]) ).
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_cl1962,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1942,zip_derived_cl12]) ).
thf(zip_derived_cl1464_006,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1463,zip_derived_cl1433,zip_derived_cl1439]) ).
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_cl1944,plain,
! [X0: $i] :
( ( meet @ X0 @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1464,zip_derived_cl3]) ).
thf(zip_derived_cl2_008,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_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_cl55,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('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_cl56,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_cl55,zip_derived_cl0,zip_derived_cl1]) ).
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_cl2476,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_cl56,zip_derived_cl3]) ).
thf(zip_derived_cl2754,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( join @ ( complement @ X0 ) @ ( complement @ ( join @ ( complement @ X0 ) @ ( join @ X0 @ ( complement @ ( complement @ X0 ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1944,zip_derived_cl2476]) ).
thf(zip_derived_cl1464_011,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1463,zip_derived_cl1433,zip_derived_cl1439]) ).
thf(zip_derived_cl1_012,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_013,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X2 @ X1 ) )
= ( join @ X2 @ ( join @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl1962_014,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1942,zip_derived_cl12]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
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_cl11_016,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_017,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_cl20,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_cl66,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ ( complement @ X0 ) @ ( complement @ top ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl20]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ ( complement @ top ) @ ( complement @ X0 ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl66]) ).
thf(zip_derived_cl11_018,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
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(zip_derived_cl277,plain,
! [X0: $i] :
( ( meet @ X0 @ ( complement @ X0 ) )
= ( complement @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl12_020,plain,
! [X0: $i] :
( zero
= ( meet @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_zero]) ).
thf(zip_derived_cl280,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl12]) ).
thf(zip_derived_cl366,plain,
! [X0: $i] :
( ( join @ X0 @ ( join @ zero @ ( complement @ X0 ) ) )
= top ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl280]) ).
thf(zip_derived_cl2689,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ X0 )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl1962,zip_derived_cl366]) ).
thf(zip_derived_cl1464_021,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1463,zip_derived_cl1433,zip_derived_cl1439]) ).
thf(zip_derived_cl20_022,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_cl1938,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) )
= top ),
inference('sup+',[status(thm)],[zip_derived_cl1464,zip_derived_cl20]) ).
thf(zip_derived_cl11_023,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1961,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1938,zip_derived_cl11]) ).
thf(zip_derived_cl11_024,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl1_025,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 @ ( complement @ X1 ) @ X0 ) )
= ( join @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl2068,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= ( join @ top @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl1961,zip_derived_cl23]) ).
thf(zip_derived_cl280_026,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl12]) ).
thf(zip_derived_cl11_027,plain,
! [X0: $i] :
( top
= ( join @ X0 @ ( complement @ X0 ) ) ),
inference(cnf,[status(esa)],[def_top]) ).
thf(zip_derived_cl369,plain,
( top
= ( join @ top @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl280,zip_derived_cl11]) ).
thf(zip_derived_cl17_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X2 @ X1 ) )
= ( join @ X2 @ ( join @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl383,plain,
! [X0: $i] :
( ( join @ zero @ ( join @ X0 @ top ) )
= ( join @ X0 @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl369,zip_derived_cl17]) ).
thf(zip_derived_cl23_029,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ ( join @ ( complement @ X1 ) @ X0 ) )
= ( join @ top @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl1049,plain,
( ( join @ ( complement @ zero ) @ top )
= ( join @ top @ top ) ),
inference('sup+',[status(thm)],[zip_derived_cl383,zip_derived_cl23]) ).
thf(zip_derived_cl1961_030,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl1938,zip_derived_cl11]) ).
thf(zip_derived_cl2052,plain,
( top
= ( join @ top @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl1049,zip_derived_cl1961]) ).
thf(zip_derived_cl2243,plain,
! [X0: $i] :
( ( join @ X0 @ top )
= top ),
inference(demod,[status(thm)],[zip_derived_cl2068,zip_derived_cl2052]) ).
thf(zip_derived_cl280_031,plain,
( zero
= ( complement @ top ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl12]) ).
thf(zip_derived_cl2762,plain,
! [X0: $i] :
( ( complement @ X0 )
= ( join @ ( complement @ X0 ) @ zero ) ),
inference(demod,[status(thm)],[zip_derived_cl2754,zip_derived_cl1464,zip_derived_cl17,zip_derived_cl2689,zip_derived_cl2243,zip_derived_cl280]) ).
thf(zip_derived_cl1962_032,plain,
! [X0: $i] :
( X0
= ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1942,zip_derived_cl12]) ).
thf(zip_derived_cl0_033,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl2681,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ zero )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl1962,zip_derived_cl0]) ).
thf(zip_derived_cl3254,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl2762,zip_derived_cl2681]) ).
thf(zip_derived_cl3278,plain,
! [X0: $i] :
( X0
= ( join @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1962,zip_derived_cl3254]) ).
thf(goals,conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( ( join @ ( join @ X0 @ X1 ) @ X2 )
= X2 )
=> ( ( ( join @ X0 @ X2 )
= X2 )
& ( ( join @ X1 @ X2 )
= X2 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i,X1: $i,X2: $i] :
( ( ( join @ ( join @ X0 @ X1 ) @ X2 )
= X2 )
=> ( ( ( join @ X0 @ X2 )
= X2 )
& ( ( join @ X1 @ X2 )
= X2 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl13,plain,
( ( join @ ( join @ sk_ @ sk__1 ) @ sk__2 )
= sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_034,plain,
! [X0: $i,X1: $i] :
( ( join @ X1 @ X0 )
= ( join @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).
thf(zip_derived_cl1_035,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,
( ( join @ sk__1 @ ( join @ sk_ @ sk__2 ) )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl17_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( join @ X0 @ ( join @ X2 @ X1 ) )
= ( join @ X2 @ ( join @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ( join @ ( join @ sk_ @ sk__2 ) @ ( join @ X0 @ sk__1 ) )
= ( join @ X0 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl17]) ).
thf(zip_derived_cl3392,plain,
( ( join @ ( join @ sk_ @ sk__2 ) @ sk__1 )
= ( join @ zero @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3278,zip_derived_cl156]) ).
thf(zip_derived_cl3278_037,plain,
! [X0: $i] :
( X0
= ( join @ zero @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1962,zip_derived_cl3254]) ).
thf(zip_derived_cl3411,plain,
( ( join @ ( join @ sk_ @ sk__2 ) @ sk__1 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl3392,zip_derived_cl3278]) ).
thf(zip_derived_cl3254_038,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl2762,zip_derived_cl2681]) ).
thf(zip_derived_cl1464_039,plain,
! [X0: $i] :
( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
= ( complement @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1463,zip_derived_cl1433,zip_derived_cl1439]) ).
thf(zip_derived_cl3287,plain,
! [X0: $i] :
( ( join @ ( complement @ ( complement @ X0 ) ) @ X0 )
= ( complement @ ( complement @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3254,zip_derived_cl1464]) ).
thf(zip_derived_cl3254_040,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl2762,zip_derived_cl2681]) ).
thf(zip_derived_cl3254_041,plain,
! [X0: $i] :
( ( complement @ ( complement @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl2762,zip_derived_cl2681]) ).
thf(zip_derived_cl3304,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl3287,zip_derived_cl3254,zip_derived_cl3254]) ).
thf(zip_derived_cl1_042,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_cl3312,plain,
! [X0: $i,X1: $i] :
( ( join @ X0 @ ( join @ X0 @ X1 ) )
= ( join @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3304,zip_derived_cl1]) ).
thf(zip_derived_cl4548,plain,
( ( join @ ( join @ sk_ @ sk__2 ) @ sk__2 )
= ( join @ ( join @ sk_ @ sk__2 ) @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3411,zip_derived_cl3312]) ).
thf(zip_derived_cl3411_043,plain,
( ( join @ ( join @ sk_ @ sk__2 ) @ sk__1 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl3392,zip_derived_cl3278]) ).
thf(zip_derived_cl4591,plain,
( ( join @ ( join @ sk_ @ sk__2 ) @ sk__2 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl4548,zip_derived_cl3411]) ).
thf(zip_derived_cl1_044,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_cl4933,plain,
( ( join @ sk_ @ ( join @ sk__2 @ sk__2 ) )
= sk__2 ),
inference('sup+',[status(thm)],[zip_derived_cl4591,zip_derived_cl1]) ).
thf(zip_derived_cl3304_045,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl3287,zip_derived_cl3254,zip_derived_cl3254]) ).
thf(zip_derived_cl4945,plain,
( ( join @ sk_ @ sk__2 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl4933,zip_derived_cl3304]) ).
thf(zip_derived_cl14,plain,
( ( ( join @ sk_ @ sk__2 )
!= sk__2 )
| ( ( join @ sk__1 @ sk__2 )
!= sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3304_046,plain,
! [X0: $i] :
( ( join @ X0 @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl3287,zip_derived_cl3254,zip_derived_cl3254]) ).
thf(zip_derived_cl156_047,plain,
! [X0: $i] :
( ( join @ ( join @ sk_ @ sk__2 ) @ ( join @ X0 @ sk__1 ) )
= ( join @ X0 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl17]) ).
thf(zip_derived_cl3328,plain,
( ( join @ ( join @ sk_ @ sk__2 ) @ sk__1 )
= ( join @ sk__1 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3304,zip_derived_cl156]) ).
thf(zip_derived_cl3411_048,plain,
( ( join @ ( join @ sk_ @ sk__2 ) @ sk__1 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl3392,zip_derived_cl3278]) ).
thf(zip_derived_cl4210,plain,
( sk__2
= ( join @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl3328,zip_derived_cl3411]) ).
thf(zip_derived_cl4211,plain,
( ( ( join @ sk_ @ sk__2 )
!= sk__2 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl4210]) ).
thf(zip_derived_cl4212,plain,
( ( join @ sk_ @ sk__2 )
!= sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl4211]) ).
thf(zip_derived_cl4946,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4945,zip_derived_cl4212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL048+1 : 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.afUreZWu18 true
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 22:47:48 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.38/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.72/1.59 % Solved by fo/fo4.sh.
% 6.72/1.59 % done 613 iterations in 0.755s
% 6.72/1.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.72/1.59 % SZS output start Refutation
% See solution above
% 6.72/1.59
% 6.72/1.59
% 6.72/1.59 % Terminating...
% 7.37/1.68 % Runner terminated.
% 7.37/1.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------