TSTP Solution File: SEU305+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% 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 : 0s
% DateTime : Tue Jul 19 07:12:18 EDT 2022
% Result : Theorem 86.64s 87.03s
% Output : Refutation 86.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 19:22:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.21 *** allocated 10000 integers for termspace/termends
% 0.70/1.21 *** allocated 10000 integers for clauses
% 0.70/1.21 *** allocated 10000 integers for justifications
% 0.70/1.21 Bliksem 1.12
% 0.70/1.21
% 0.70/1.21
% 0.70/1.21 Automatic Strategy Selection
% 0.70/1.21
% 0.70/1.21
% 0.70/1.21 Clauses:
% 0.70/1.21
% 0.70/1.21 { ! in( X, Y ), ! in( Y, X ) }.
% 0.70/1.21 { ! preboolean( X ), cup_closed( X ) }.
% 0.70/1.21 { ! preboolean( X ), diff_closed( X ) }.
% 0.70/1.21 { ! cup_closed( X ), ! diff_closed( X ), preboolean( X ) }.
% 0.70/1.21 { empty_carrier( X ), ! join_commutative( X ), ! join_semilatt_str( X ), !
% 0.70/1.21 element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ),
% 0.70/1.21 join_commut( X, Y, Z ) = join_commut( X, Z, Y ) }.
% 0.70/1.21 { empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 0.70/1.21 X ) ), ! element( Z, the_carrier( X ) ), join( X, Y, Z ) =
% 0.70/1.21 apply_binary_as_element( the_carrier( X ), the_carrier( X ), the_carrier
% 0.70/1.21 ( X ), the_L_join( X ), Y, Z ) }.
% 0.70/1.21 { empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 0.70/1.21 X ) ), ! element( Z, the_carrier( X ) ), ! below( X, Y, Z ), join( X, Y,
% 0.70/1.21 Z ) = Z }.
% 0.70/1.21 { empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 0.70/1.21 X ) ), ! element( Z, the_carrier( X ) ), ! join( X, Y, Z ) = Z, below( X
% 0.70/1.21 , Y, Z ) }.
% 0.70/1.21 { && }.
% 0.70/1.21 { empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 0.70/1.21 X ) ), ! element( Z, the_carrier( X ) ), element( join( X, Y, Z ),
% 0.70/1.21 the_carrier( X ) ) }.
% 0.70/1.21 { && }.
% 0.70/1.21 { && }.
% 0.70/1.21 { empty( X ), empty( Y ), ! function( T ), ! quasi_total( T,
% 0.70/1.21 cartesian_product2( X, Y ), Z ), ! relation_of2( T, cartesian_product2( X
% 0.70/1.21 , Y ), Z ), ! element( U, X ), ! element( W, Y ), element(
% 0.70/1.21 apply_binary_as_element( X, Y, Z, T, U, W ), Z ) }.
% 0.70/1.21 { && }.
% 0.70/1.21 { empty_carrier( X ), ! join_commutative( X ), ! join_semilatt_str( X ), !
% 0.70/1.21 element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ), element
% 0.70/1.21 ( join_commut( X, Y, Z ), the_carrier( X ) ) }.
% 0.70/1.21 { && }.
% 0.70/1.21 { ! join_semilatt_str( X ), one_sorted_str( X ) }.
% 0.70/1.21 { && }.
% 0.70/1.21 { && }.
% 0.70/1.21 { ! relation_of2_as_subset( Z, X, Y ), element( Z, powerset(
% 0.70/1.21 cartesian_product2( X, Y ) ) ) }.
% 0.70/1.21 { && }.
% 0.70/1.21 { ! join_semilatt_str( X ), function( the_L_join( X ) ) }.
% 0.70/1.21 { ! join_semilatt_str( X ), quasi_total( the_L_join( X ),
% 0.70/1.21 cartesian_product2( the_carrier( X ), the_carrier( X ) ), the_carrier( X
% 0.70/1.21 ) ) }.
% 0.70/1.21 { ! join_semilatt_str( X ), relation_of2_as_subset( the_L_join( X ),
% 0.70/1.21 cartesian_product2( the_carrier( X ), the_carrier( X ) ), the_carrier( X
% 0.70/1.21 ) ) }.
% 0.70/1.21 { one_sorted_str( skol1 ) }.
% 0.70/1.21 { join_semilatt_str( skol2 ) }.
% 0.70/1.21 { relation_of2( skol3( X, Y ), X, Y ) }.
% 0.70/1.21 { element( skol4( X ), X ) }.
% 0.70/1.21 { relation_of2_as_subset( skol5( X, Y ), X, Y ) }.
% 0.70/1.21 { ! empty( powerset( X ) ) }.
% 0.70/1.21 { cup_closed( powerset( X ) ) }.
% 0.70/1.21 { diff_closed( powerset( X ) ) }.
% 0.70/1.21 { preboolean( powerset( X ) ) }.
% 0.70/1.21 { empty_carrier( X ), ! one_sorted_str( X ), ! empty( the_carrier( X ) ) }
% 0.70/1.21 .
% 0.70/1.21 { one_sorted_str( skol6 ) }.
% 0.70/1.21 { ! empty_carrier( skol6 ) }.
% 0.70/1.21 { empty_carrier( X ), ! one_sorted_str( X ), ! empty( skol7( Y ) ) }.
% 0.70/1.21 { empty_carrier( X ), ! one_sorted_str( X ), element( skol7( X ), powerset
% 0.70/1.21 ( the_carrier( X ) ) ) }.
% 0.70/1.21 { empty( X ), empty( Y ), ! function( T ), ! quasi_total( T,
% 0.70/1.21 cartesian_product2( X, Y ), Z ), ! relation_of2( T, cartesian_product2( X
% 0.70/1.21 , Y ), Z ), ! element( U, X ), ! element( W, Y ), apply_binary_as_element
% 0.70/1.21 ( X, Y, Z, T, U, W ) = apply_binary( T, U, W ) }.
% 0.70/1.21 { empty_carrier( X ), ! join_commutative( X ), ! join_semilatt_str( X ), !
% 0.70/1.21 element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ),
% 0.70/1.21 join_commut( X, Y, Z ) = join( X, Y, Z ) }.
% 0.70/1.21 { ! relation_of2_as_subset( Z, X, Y ), relation_of2( Z, X, Y ) }.
% 0.70/1.21 { ! relation_of2( Z, X, Y ), relation_of2_as_subset( Z, X, Y ) }.
% 0.70/1.21 { subset( X, X ) }.
% 0.70/1.21 { ! in( X, Y ), element( X, Y ) }.
% 0.70/1.21 { ! empty_carrier( skol8 ) }.
% 0.70/1.21 { join_commutative( skol8 ) }.
% 0.70/1.21 { join_semilatt_str( skol8 ) }.
% 0.70/1.21 { element( skol9, the_carrier( skol8 ) ) }.
% 0.70/1.21 { element( skol10, the_carrier( skol8 ) ) }.
% 0.70/1.21 { below( skol8, skol9, skol10 ) }.
% 0.70/1.21 { below( skol8, skol10, skol9 ) }.
% 0.70/1.21 { ! skol9 = skol10 }.
% 0.70/1.21 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.70/1.21 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.70/1.21 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.70/1.21 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 86.64/87.03 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 86.64/87.03 { ! empty( X ), X = empty_set }.
% 86.64/87.03 { ! in( X, Y ), ! empty( Y ) }.
% 86.64/87.03 { ! empty( X ), X = Y, ! empty( Y ) }.
% 86.64/87.03
% 86.64/87.03 percentage equality = 0.068702, percentage horn = 0.792453
% 86.64/87.03 This is a problem with some equality
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Options Used:
% 86.64/87.03
% 86.64/87.03 useres = 1
% 86.64/87.03 useparamod = 1
% 86.64/87.03 useeqrefl = 1
% 86.64/87.03 useeqfact = 1
% 86.64/87.03 usefactor = 1
% 86.64/87.03 usesimpsplitting = 0
% 86.64/87.03 usesimpdemod = 5
% 86.64/87.03 usesimpres = 3
% 86.64/87.03
% 86.64/87.03 resimpinuse = 1000
% 86.64/87.03 resimpclauses = 20000
% 86.64/87.03 substype = eqrewr
% 86.64/87.03 backwardsubs = 1
% 86.64/87.03 selectoldest = 5
% 86.64/87.03
% 86.64/87.03 litorderings [0] = split
% 86.64/87.03 litorderings [1] = extend the termordering, first sorting on arguments
% 86.64/87.03
% 86.64/87.03 termordering = kbo
% 86.64/87.03
% 86.64/87.03 litapriori = 0
% 86.64/87.03 termapriori = 1
% 86.64/87.03 litaposteriori = 0
% 86.64/87.03 termaposteriori = 0
% 86.64/87.03 demodaposteriori = 0
% 86.64/87.03 ordereqreflfact = 0
% 86.64/87.03
% 86.64/87.03 litselect = negord
% 86.64/87.03
% 86.64/87.03 maxweight = 15
% 86.64/87.03 maxdepth = 30000
% 86.64/87.03 maxlength = 115
% 86.64/87.03 maxnrvars = 195
% 86.64/87.03 excuselevel = 1
% 86.64/87.03 increasemaxweight = 1
% 86.64/87.03
% 86.64/87.03 maxselected = 10000000
% 86.64/87.03 maxnrclauses = 10000000
% 86.64/87.03
% 86.64/87.03 showgenerated = 0
% 86.64/87.03 showkept = 0
% 86.64/87.03 showselected = 0
% 86.64/87.03 showdeleted = 0
% 86.64/87.03 showresimp = 1
% 86.64/87.03 showstatus = 2000
% 86.64/87.03
% 86.64/87.03 prologoutput = 0
% 86.64/87.03 nrgoals = 5000000
% 86.64/87.03 totalproof = 1
% 86.64/87.03
% 86.64/87.03 Symbols occurring in the translation:
% 86.64/87.03
% 86.64/87.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 86.64/87.03 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 86.64/87.03 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 86.64/87.03 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 86.64/87.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 86.64/87.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 86.64/87.03 in [37, 2] (w:1, o:62, a:1, s:1, b:0),
% 86.64/87.03 preboolean [38, 1] (w:1, o:25, a:1, s:1, b:0),
% 86.64/87.03 cup_closed [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 86.64/87.03 diff_closed [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 86.64/87.03 empty_carrier [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 86.64/87.03 join_commutative [43, 1] (w:1, o:29, a:1, s:1, b:0),
% 86.64/87.03 join_semilatt_str [44, 1] (w:1, o:30, a:1, s:1, b:0),
% 86.64/87.03 the_carrier [45, 1] (w:1, o:33, a:1, s:1, b:0),
% 86.64/87.03 element [46, 2] (w:1, o:63, a:1, s:1, b:0),
% 86.64/87.03 join_commut [47, 3] (w:1, o:68, a:1, s:1, b:0),
% 86.64/87.03 join [48, 3] (w:1, o:69, a:1, s:1, b:0),
% 86.64/87.03 the_L_join [49, 1] (w:1, o:34, a:1, s:1, b:0),
% 86.64/87.03 apply_binary_as_element [50, 6] (w:1, o:75, a:1, s:1, b:0),
% 86.64/87.03 below [51, 3] (w:1, o:71, a:1, s:1, b:0),
% 86.64/87.03 empty [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 86.64/87.03 function [56, 1] (w:1, o:36, a:1, s:1, b:0),
% 86.64/87.03 cartesian_product2 [57, 2] (w:1, o:64, a:1, s:1, b:0),
% 86.64/87.03 quasi_total [58, 3] (w:1, o:72, a:1, s:1, b:0),
% 86.64/87.03 relation_of2 [59, 3] (w:1, o:73, a:1, s:1, b:0),
% 86.64/87.03 one_sorted_str [60, 1] (w:1, o:24, a:1, s:1, b:0),
% 86.64/87.03 relation_of2_as_subset [61, 3] (w:1, o:74, a:1, s:1, b:0),
% 86.64/87.03 powerset [62, 1] (w:1, o:37, a:1, s:1, b:0),
% 86.64/87.03 apply_binary [63, 3] (w:1, o:70, a:1, s:1, b:0),
% 86.64/87.03 subset [64, 2] (w:1, o:65, a:1, s:1, b:0),
% 86.64/87.03 empty_set [65, 0] (w:1, o:12, a:1, s:1, b:0),
% 86.64/87.03 skol1 [66, 0] (w:1, o:13, a:1, s:1, b:1),
% 86.64/87.03 skol2 [67, 0] (w:1, o:15, a:1, s:1, b:1),
% 86.64/87.03 skol3 [68, 2] (w:1, o:66, a:1, s:1, b:1),
% 86.64/87.03 skol4 [69, 1] (w:1, o:31, a:1, s:1, b:1),
% 86.64/87.03 skol5 [70, 2] (w:1, o:67, a:1, s:1, b:1),
% 86.64/87.03 skol6 [71, 0] (w:1, o:16, a:1, s:1, b:1),
% 86.64/87.03 skol7 [72, 1] (w:1, o:32, a:1, s:1, b:1),
% 86.64/87.03 skol8 [73, 0] (w:1, o:17, a:1, s:1, b:1),
% 86.64/87.03 skol9 [74, 0] (w:1, o:18, a:1, s:1, b:1),
% 86.64/87.03 skol10 [75, 0] (w:1, o:14, a:1, s:1, b:1).
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Starting Search:
% 86.64/87.03
% 86.64/87.03 *** allocated 15000 integers for clauses
% 86.64/87.03 *** allocated 22500 integers for clauses
% 86.64/87.03 *** allocated 33750 integers for clauses
% 86.64/87.03 *** allocated 15000 integers for termspace/termends
% 86.64/87.03 *** allocated 50625 integers for clauses
% 86.64/87.03 *** allocated 22500 integers for termspace/termends
% 86.64/87.03 *** allocated 75937 integers for clauses
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 33750 integers for termspace/termends
% 86.64/87.03 *** allocated 113905 integers for clauses
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 9924
% 86.64/87.03 Kept: 2018
% 86.64/87.03 Inuse: 291
% 86.64/87.03 Deleted: 20
% 86.64/87.03 Deletedinuse: 1
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 50625 integers for termspace/termends
% 86.64/87.03 *** allocated 170857 integers for clauses
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 75937 integers for termspace/termends
% 86.64/87.03 *** allocated 256285 integers for clauses
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 29572
% 86.64/87.03 Kept: 4118
% 86.64/87.03 Inuse: 488
% 86.64/87.03 Deleted: 45
% 86.64/87.03 Deletedinuse: 3
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 384427 integers for clauses
% 86.64/87.03 *** allocated 113905 integers for termspace/termends
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 69221
% 86.64/87.03 Kept: 6415
% 86.64/87.03 Inuse: 626
% 86.64/87.03 Deleted: 64
% 86.64/87.03 Deletedinuse: 15
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 170857 integers for termspace/termends
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 87507
% 86.64/87.03 Kept: 8605
% 86.64/87.03 Inuse: 647
% 86.64/87.03 Deleted: 65
% 86.64/87.03 Deletedinuse: 15
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 576640 integers for clauses
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 126436
% 86.64/87.03 Kept: 10616
% 86.64/87.03 Inuse: 827
% 86.64/87.03 Deleted: 80
% 86.64/87.03 Deletedinuse: 15
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 149792
% 86.64/87.03 Kept: 12618
% 86.64/87.03 Inuse: 952
% 86.64/87.03 Deleted: 88
% 86.64/87.03 Deletedinuse: 17
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 256285 integers for termspace/termends
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 864960 integers for clauses
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 172889
% 86.64/87.03 Kept: 14621
% 86.64/87.03 Inuse: 1034
% 86.64/87.03 Deleted: 92
% 86.64/87.03 Deletedinuse: 18
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 235504
% 86.64/87.03 Kept: 16630
% 86.64/87.03 Inuse: 1190
% 86.64/87.03 Deleted: 116
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 261951
% 86.64/87.03 Kept: 18636
% 86.64/87.03 Inuse: 1282
% 86.64/87.03 Deleted: 136
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 *** allocated 384427 integers for termspace/termends
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying clauses:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 271881
% 86.64/87.03 Kept: 20664
% 86.64/87.03 Inuse: 1308
% 86.64/87.03 Deleted: 2568
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 1297440 integers for clauses
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 344863
% 86.64/87.03 Kept: 22683
% 86.64/87.03 Inuse: 1367
% 86.64/87.03 Deleted: 2568
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 386860
% 86.64/87.03 Kept: 24703
% 86.64/87.03 Inuse: 1454
% 86.64/87.03 Deleted: 2568
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 449453
% 86.64/87.03 Kept: 26703
% 86.64/87.03 Inuse: 1547
% 86.64/87.03 Deleted: 2568
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 576640 integers for termspace/termends
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 487545
% 86.64/87.03 Kept: 28720
% 86.64/87.03 Inuse: 1613
% 86.64/87.03 Deleted: 2568
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 519420
% 86.64/87.03 Kept: 30721
% 86.64/87.03 Inuse: 1654
% 86.64/87.03 Deleted: 2568
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 535232
% 86.64/87.03 Kept: 32729
% 86.64/87.03 Inuse: 1701
% 86.64/87.03 Deleted: 2583
% 86.64/87.03 Deletedinuse: 21
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 1946160 integers for clauses
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 556447
% 86.64/87.03 Kept: 34790
% 86.64/87.03 Inuse: 1739
% 86.64/87.03 Deleted: 2596
% 86.64/87.03 Deletedinuse: 24
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 574841
% 86.64/87.03 Kept: 36838
% 86.64/87.03 Inuse: 1786
% 86.64/87.03 Deleted: 2611
% 86.64/87.03 Deletedinuse: 26
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Intermediate Status:
% 86.64/87.03 Generated: 606595
% 86.64/87.03 Kept: 39260
% 86.64/87.03 Inuse: 1833
% 86.64/87.03 Deleted: 2611
% 86.64/87.03 Deletedinuse: 26
% 86.64/87.03
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 *** allocated 864960 integers for termspace/termends
% 86.64/87.03 Resimplifying inuse:
% 86.64/87.03 Done
% 86.64/87.03
% 86.64/87.03 Resimplifying clauses:
% 86.64/87.03
% 86.64/87.03 Bliksems!, er is een bewijs:
% 86.64/87.03 % SZS status Theorem
% 86.64/87.03 % SZS output start Refutation
% 86.64/87.03
% 86.64/87.03 (4) {G0,W23,D3,L6,V3,M6} I { empty_carrier( X ), ! join_commutative( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ), join_commut( X, Y, Z ) = join_commut( X, Z, Y ) }.
% 86.64/87.03 (6) {G0,W22,D3,L6,V3,M6} I { empty_carrier( X ), ! join_semilatt_str( X ),
% 86.64/87.03 ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ), !
% 86.64/87.03 below( X, Y, Z ), join( X, Y, Z ) ==> Z }.
% 86.64/87.03 (12) {G0,W4,D2,L2,V1,M2} I { ! join_semilatt_str( X ), one_sorted_str( X )
% 86.64/87.03 }.
% 86.64/87.03 (26) {G0,W7,D3,L3,V1,M3} I { empty_carrier( X ), ! one_sorted_str( X ), !
% 86.64/87.03 empty( the_carrier( X ) ) }.
% 86.64/87.03 (32) {G0,W23,D3,L6,V3,M6} I { empty_carrier( X ), ! join_commutative( X ),
% 86.64/87.03 ! join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z
% 86.64/87.03 , the_carrier( X ) ), join( X, Y, Z ) ==> join_commut( X, Y, Z ) }.
% 86.64/87.03 (36) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), element( X, Y ) }.
% 86.64/87.03 (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.64/87.03 (38) {G0,W2,D2,L1,V0,M1} I { join_commutative( skol8 ) }.
% 86.64/87.03 (39) {G0,W2,D2,L1,V0,M1} I { join_semilatt_str( skol8 ) }.
% 86.64/87.03 (40) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol8 ) ) }.
% 86.64/87.03 (41) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 (42) {G0,W4,D2,L1,V0,M1} I { below( skol8, skol9, skol10 ) }.
% 86.64/87.03 (43) {G0,W4,D2,L1,V0,M1} I { below( skol8, skol10, skol9 ) }.
% 86.64/87.03 (44) {G0,W3,D2,L1,V0,M1} I { ! skol9 ==> skol10 }.
% 86.64/87.03 (45) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 86.64/87.03 (65) {G1,W2,D2,L1,V0,M1} R(12,39) { one_sorted_str( skol8 ) }.
% 86.64/87.03 (123) {G1,W18,D3,L4,V2,M4} R(6,37);r(39) { ! element( X, the_carrier( skol8
% 86.64/87.03 ) ), ! element( Y, the_carrier( skol8 ) ), ! below( skol8, X, Y ), join
% 86.64/87.03 ( skol8, X, Y ) ==> Y }.
% 86.64/87.03 (216) {G1,W22,D3,L6,V3,M6} R(36,6) { ! in( X, the_carrier( Y ) ),
% 86.64/87.03 empty_carrier( Y ), ! join_semilatt_str( Y ), ! element( Z, the_carrier(
% 86.64/87.03 Y ) ), ! below( Y, Z, X ), join( Y, Z, X ) ==> X }.
% 86.64/87.03 (219) {G1,W23,D3,L6,V3,M6} R(36,4) { ! in( X, the_carrier( Y ) ),
% 86.64/87.03 empty_carrier( Y ), ! join_commutative( Y ), ! join_semilatt_str( Y ), !
% 86.64/87.03 element( Z, the_carrier( Y ) ), join_commut( Y, X, Z ) = join_commut( Y,
% 86.64/87.03 Z, X ) }.
% 86.64/87.03 (301) {G2,W3,D3,L1,V0,M1} R(26,65);r(37) { ! empty( the_carrier( skol8 ) )
% 86.64/87.03 }.
% 86.64/87.03 (381) {G1,W17,D3,L4,V1,M4} R(32,40);r(37) { ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ), join(
% 86.64/87.03 skol8, skol9, X ) ==> join_commut( skol8, skol9, X ) }.
% 86.64/87.03 (382) {G1,W17,D3,L4,V1,M4} R(32,40);r(37) { ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ), join(
% 86.64/87.03 skol8, X, skol9 ) ==> join_commut( skol8, X, skol9 ) }.
% 86.64/87.03 (552) {G3,W4,D3,L1,V0,M1} R(45,40);r(301) { in( skol9, the_carrier( skol8 )
% 86.64/87.03 ) }.
% 86.64/87.03 (2530) {G2,W10,D3,L2,V0,M2} R(123,42);r(40) { ! element( skol10,
% 86.64/87.03 the_carrier( skol8 ) ), join( skol8, skol9, skol10 ) ==> skol10 }.
% 86.64/87.03 (8624) {G4,W14,D3,L4,V0,M4} R(216,43);r(552) { empty_carrier( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.64/87.03 join( skol8, skol10, skol9 ) ==> skol9 }.
% 86.64/87.03 (18259) {G2,W13,D3,L2,V1,M2} S(381);r(38);r(39) { ! element( X, the_carrier
% 86.64/87.03 ( skol8 ) ), join( skol8, skol9, X ) ==> join_commut( skol8, skol9, X )
% 86.64/87.03 }.
% 86.64/87.03 (18428) {G2,W13,D3,L2,V1,M2} S(382);r(38);r(39) { ! element( X, the_carrier
% 86.64/87.03 ( skol8 ) ), join( skol8, X, skol9 ) ==> join_commut( skol8, X, skol9 )
% 86.64/87.03 }.
% 86.64/87.03 (20129) {G5,W12,D3,L3,V0,M3} S(8624);d(18428);r(37) { ! join_semilatt_str(
% 86.64/87.03 skol8 ), ! element( skol10, the_carrier( skol8 ) ), join_commut( skol8,
% 86.64/87.03 skol10, skol9 ) ==> skol9 }.
% 86.64/87.03 (20190) {G3,W6,D3,L1,V0,M1} S(2530);d(18259);r(41) { join_commut( skol8,
% 86.64/87.03 skol9, skol10 ) ==> skol10 }.
% 86.64/87.03 (20218) {G6,W13,D3,L5,V0,M5} P(20190,219);d(20129);r(552) { empty_carrier(
% 86.64/87.03 skol8 ), ! join_commutative( skol8 ), ! join_semilatt_str( skol8 ), !
% 86.64/87.03 element( skol10, the_carrier( skol8 ) ), skol9 ==> skol10 }.
% 86.64/87.03 (40965) {G7,W0,D0,L0,V0,M0} S(20218);r(37);r(38);r(39);r(41);r(44) { }.
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 % SZS output end Refutation
% 86.64/87.03 found a proof!
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Unprocessed initial clauses:
% 86.64/87.03
% 86.64/87.03 (40967) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 86.64/87.03 (40968) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), cup_closed( X ) }.
% 86.64/87.03 (40969) {G0,W4,D2,L2,V1,M2} { ! preboolean( X ), diff_closed( X ) }.
% 86.64/87.03 (40970) {G0,W6,D2,L3,V1,M3} { ! cup_closed( X ), ! diff_closed( X ),
% 86.64/87.03 preboolean( X ) }.
% 86.64/87.03 (40971) {G0,W23,D3,L6,V3,M6} { empty_carrier( X ), ! join_commutative( X )
% 86.64/87.03 , ! join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element(
% 86.64/87.03 Z, the_carrier( X ) ), join_commut( X, Y, Z ) = join_commut( X, Z, Y )
% 86.64/87.03 }.
% 86.64/87.03 (40972) {G0,W28,D4,L5,V3,M5} { empty_carrier( X ), ! join_semilatt_str( X
% 86.64/87.03 ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ),
% 86.64/87.03 join( X, Y, Z ) = apply_binary_as_element( the_carrier( X ), the_carrier
% 86.64/87.03 ( X ), the_carrier( X ), the_L_join( X ), Y, Z ) }.
% 86.64/87.03 (40973) {G0,W22,D3,L6,V3,M6} { empty_carrier( X ), ! join_semilatt_str( X
% 86.64/87.03 ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ), !
% 86.64/87.03 below( X, Y, Z ), join( X, Y, Z ) = Z }.
% 86.64/87.03 (40974) {G0,W22,D3,L6,V3,M6} { empty_carrier( X ), ! join_semilatt_str( X
% 86.64/87.03 ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ), !
% 86.64/87.03 join( X, Y, Z ) = Z, below( X, Y, Z ) }.
% 86.64/87.03 (40975) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40976) {G0,W19,D3,L5,V3,M5} { empty_carrier( X ), ! join_semilatt_str( X
% 86.64/87.03 ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) ),
% 86.64/87.03 element( join( X, Y, Z ), the_carrier( X ) ) }.
% 86.64/87.03 (40977) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40978) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40979) {G0,W33,D3,L8,V6,M8} { empty( X ), empty( Y ), ! function( T ), !
% 86.64/87.03 quasi_total( T, cartesian_product2( X, Y ), Z ), ! relation_of2( T,
% 86.64/87.03 cartesian_product2( X, Y ), Z ), ! element( U, X ), ! element( W, Y ),
% 86.64/87.03 element( apply_binary_as_element( X, Y, Z, T, U, W ), Z ) }.
% 86.64/87.03 (40980) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40981) {G0,W21,D3,L6,V3,M6} { empty_carrier( X ), ! join_commutative( X )
% 86.64/87.03 , ! join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element(
% 86.64/87.03 Z, the_carrier( X ) ), element( join_commut( X, Y, Z ), the_carrier( X )
% 86.64/87.03 ) }.
% 86.64/87.03 (40982) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40983) {G0,W4,D2,L2,V1,M2} { ! join_semilatt_str( X ), one_sorted_str( X
% 86.64/87.03 ) }.
% 86.64/87.03 (40984) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40985) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40986) {G0,W10,D4,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 86.64/87.03 element( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 86.64/87.03 (40987) {G0,W1,D1,L1,V0,M1} { && }.
% 86.64/87.03 (40988) {G0,W5,D3,L2,V1,M2} { ! join_semilatt_str( X ), function(
% 86.64/87.03 the_L_join( X ) ) }.
% 86.64/87.03 (40989) {G0,W12,D4,L2,V1,M2} { ! join_semilatt_str( X ), quasi_total(
% 86.64/87.03 the_L_join( X ), cartesian_product2( the_carrier( X ), the_carrier( X ) )
% 86.64/87.03 , the_carrier( X ) ) }.
% 86.64/87.03 (40990) {G0,W12,D4,L2,V1,M2} { ! join_semilatt_str( X ),
% 86.64/87.03 relation_of2_as_subset( the_L_join( X ), cartesian_product2( the_carrier
% 86.64/87.03 ( X ), the_carrier( X ) ), the_carrier( X ) ) }.
% 86.64/87.03 (40991) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol1 ) }.
% 86.64/87.03 (40992) {G0,W2,D2,L1,V0,M1} { join_semilatt_str( skol2 ) }.
% 86.64/87.03 (40993) {G0,W6,D3,L1,V2,M1} { relation_of2( skol3( X, Y ), X, Y ) }.
% 86.64/87.03 (40994) {G0,W4,D3,L1,V1,M1} { element( skol4( X ), X ) }.
% 86.64/87.03 (40995) {G0,W6,D3,L1,V2,M1} { relation_of2_as_subset( skol5( X, Y ), X, Y
% 86.64/87.03 ) }.
% 86.64/87.03 (40996) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 86.64/87.03 (40997) {G0,W3,D3,L1,V1,M1} { cup_closed( powerset( X ) ) }.
% 86.64/87.03 (40998) {G0,W3,D3,L1,V1,M1} { diff_closed( powerset( X ) ) }.
% 86.64/87.03 (40999) {G0,W3,D3,L1,V1,M1} { preboolean( powerset( X ) ) }.
% 86.64/87.03 (41000) {G0,W7,D3,L3,V1,M3} { empty_carrier( X ), ! one_sorted_str( X ), !
% 86.64/87.03 empty( the_carrier( X ) ) }.
% 86.64/87.03 (41001) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol6 ) }.
% 86.64/87.03 (41002) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol6 ) }.
% 86.64/87.03 (41003) {G0,W7,D3,L3,V2,M3} { empty_carrier( X ), ! one_sorted_str( X ), !
% 86.64/87.03 empty( skol7( Y ) ) }.
% 86.64/87.03 (41004) {G0,W10,D4,L3,V1,M3} { empty_carrier( X ), ! one_sorted_str( X ),
% 86.64/87.03 element( skol7( X ), powerset( the_carrier( X ) ) ) }.
% 86.64/87.03 (41005) {G0,W36,D3,L8,V6,M8} { empty( X ), empty( Y ), ! function( T ), !
% 86.64/87.03 quasi_total( T, cartesian_product2( X, Y ), Z ), ! relation_of2( T,
% 86.64/87.03 cartesian_product2( X, Y ), Z ), ! element( U, X ), ! element( W, Y ),
% 86.64/87.03 apply_binary_as_element( X, Y, Z, T, U, W ) = apply_binary( T, U, W ) }.
% 86.64/87.03 (41006) {G0,W23,D3,L6,V3,M6} { empty_carrier( X ), ! join_commutative( X )
% 86.64/87.03 , ! join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element(
% 86.64/87.03 Z, the_carrier( X ) ), join_commut( X, Y, Z ) = join( X, Y, Z ) }.
% 86.64/87.03 (41007) {G0,W8,D2,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 86.64/87.03 relation_of2( Z, X, Y ) }.
% 86.64/87.03 (41008) {G0,W8,D2,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 86.64/87.03 relation_of2_as_subset( Z, X, Y ) }.
% 86.64/87.03 (41009) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 86.64/87.03 (41010) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 86.64/87.03 (41011) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol8 ) }.
% 86.64/87.03 (41012) {G0,W2,D2,L1,V0,M1} { join_commutative( skol8 ) }.
% 86.64/87.03 (41013) {G0,W2,D2,L1,V0,M1} { join_semilatt_str( skol8 ) }.
% 86.64/87.03 (41014) {G0,W4,D3,L1,V0,M1} { element( skol9, the_carrier( skol8 ) ) }.
% 86.64/87.03 (41015) {G0,W4,D3,L1,V0,M1} { element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 (41016) {G0,W4,D2,L1,V0,M1} { below( skol8, skol9, skol10 ) }.
% 86.64/87.03 (41017) {G0,W4,D2,L1,V0,M1} { below( skol8, skol10, skol9 ) }.
% 86.64/87.03 (41018) {G0,W3,D2,L1,V0,M1} { ! skol9 = skol10 }.
% 86.64/87.03 (41019) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 86.64/87.03 }.
% 86.64/87.03 (41020) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 86.64/87.03 ) }.
% 86.64/87.03 (41021) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 86.64/87.03 ) }.
% 86.64/87.03 (41022) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 86.64/87.03 , element( X, Y ) }.
% 86.64/87.03 (41023) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 86.64/87.03 , ! empty( Z ) }.
% 86.64/87.03 (41024) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 86.64/87.03 (41025) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 86.64/87.03 (41026) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 86.64/87.03
% 86.64/87.03
% 86.64/87.03 Total Proof:
% 86.64/87.03
% 86.64/87.03 subsumption: (4) {G0,W23,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Y,
% 86.64/87.03 the_carrier( X ) ), ! element( Z, the_carrier( X ) ), join_commut( X, Y,
% 86.64/87.03 Z ) = join_commut( X, Z, Y ) }.
% 86.64/87.03 parent0: (40971) {G0,W23,D3,L6,V3,M6} { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Y,
% 86.64/87.03 the_carrier( X ) ), ! element( Z, the_carrier( X ) ), join_commut( X, Y,
% 86.64/87.03 Z ) = join_commut( X, Z, Y ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 2 ==> 2
% 86.64/87.03 3 ==> 3
% 86.64/87.03 4 ==> 4
% 86.64/87.03 5 ==> 5
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (6) {G0,W22,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ), ! below( X, Y, Z ), join( X, Y, Z ) ==> Z }.
% 86.64/87.03 parent0: (40973) {G0,W22,D3,L6,V3,M6} { empty_carrier( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ), ! below( X, Y, Z ), join( X, Y, Z ) = Z }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 2 ==> 2
% 86.64/87.03 3 ==> 3
% 86.64/87.03 4 ==> 4
% 86.64/87.03 5 ==> 5
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (12) {G0,W4,D2,L2,V1,M2} I { ! join_semilatt_str( X ),
% 86.64/87.03 one_sorted_str( X ) }.
% 86.64/87.03 parent0: (40983) {G0,W4,D2,L2,V1,M2} { ! join_semilatt_str( X ),
% 86.64/87.03 one_sorted_str( X ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (26) {G0,W7,D3,L3,V1,M3} I { empty_carrier( X ), !
% 86.64/87.03 one_sorted_str( X ), ! empty( the_carrier( X ) ) }.
% 86.64/87.03 parent0: (41000) {G0,W7,D3,L3,V1,M3} { empty_carrier( X ), !
% 86.64/87.03 one_sorted_str( X ), ! empty( the_carrier( X ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 2 ==> 2
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41092) {G0,W23,D3,L6,V3,M6} { join( X, Y, Z ) = join_commut( X, Y
% 86.64/87.03 , Z ), empty_carrier( X ), ! join_commutative( X ), ! join_semilatt_str(
% 86.64/87.03 X ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) )
% 86.64/87.03 }.
% 86.64/87.03 parent0[5]: (41006) {G0,W23,D3,L6,V3,M6} { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Y,
% 86.64/87.03 the_carrier( X ) ), ! element( Z, the_carrier( X ) ), join_commut( X, Y,
% 86.64/87.03 Z ) = join( X, Y, Z ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (32) {G0,W23,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Y,
% 86.64/87.03 the_carrier( X ) ), ! element( Z, the_carrier( X ) ), join( X, Y, Z ) ==>
% 86.64/87.03 join_commut( X, Y, Z ) }.
% 86.64/87.03 parent0: (41092) {G0,W23,D3,L6,V3,M6} { join( X, Y, Z ) = join_commut( X,
% 86.64/87.03 Y, Z ), empty_carrier( X ), ! join_commutative( X ), ! join_semilatt_str
% 86.64/87.03 ( X ), ! element( Y, the_carrier( X ) ), ! element( Z, the_carrier( X ) )
% 86.64/87.03 }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 5
% 86.64/87.03 1 ==> 0
% 86.64/87.03 2 ==> 1
% 86.64/87.03 3 ==> 2
% 86.64/87.03 4 ==> 3
% 86.64/87.03 5 ==> 4
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (36) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), element( X, Y ) }.
% 86.64/87.03 parent0: (41010) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.64/87.03 parent0: (41011) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (38) {G0,W2,D2,L1,V0,M1} I { join_commutative( skol8 ) }.
% 86.64/87.03 parent0: (41012) {G0,W2,D2,L1,V0,M1} { join_commutative( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (39) {G0,W2,D2,L1,V0,M1} I { join_semilatt_str( skol8 ) }.
% 86.64/87.03 parent0: (41013) {G0,W2,D2,L1,V0,M1} { join_semilatt_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (40) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier(
% 86.64/87.03 skol8 ) ) }.
% 86.64/87.03 parent0: (41014) {G0,W4,D3,L1,V0,M1} { element( skol9, the_carrier( skol8
% 86.64/87.03 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (41) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier(
% 86.64/87.03 skol8 ) ) }.
% 86.64/87.03 parent0: (41015) {G0,W4,D3,L1,V0,M1} { element( skol10, the_carrier( skol8
% 86.64/87.03 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (42) {G0,W4,D2,L1,V0,M1} I { below( skol8, skol9, skol10 ) }.
% 86.64/87.03 parent0: (41016) {G0,W4,D2,L1,V0,M1} { below( skol8, skol9, skol10 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (43) {G0,W4,D2,L1,V0,M1} I { below( skol8, skol10, skol9 ) }.
% 86.64/87.03 parent0: (41017) {G0,W4,D2,L1,V0,M1} { below( skol8, skol10, skol9 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (44) {G0,W3,D2,L1,V0,M1} I { ! skol9 ==> skol10 }.
% 86.64/87.03 parent0: (41018) {G0,W3,D2,L1,V0,M1} { ! skol9 = skol10 }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (45) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 86.64/87.03 ( X, Y ) }.
% 86.64/87.03 parent0: (41019) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in(
% 86.64/87.03 X, Y ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 2 ==> 2
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41357) {G1,W2,D2,L1,V0,M1} { one_sorted_str( skol8 ) }.
% 86.64/87.03 parent0[0]: (12) {G0,W4,D2,L2,V1,M2} I { ! join_semilatt_str( X ),
% 86.64/87.03 one_sorted_str( X ) }.
% 86.64/87.03 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { join_semilatt_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol8
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (65) {G1,W2,D2,L1,V0,M1} R(12,39) { one_sorted_str( skol8 )
% 86.64/87.03 }.
% 86.64/87.03 parent0: (41357) {G1,W2,D2,L1,V0,M1} { one_sorted_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41358) {G0,W22,D3,L6,V3,M6} { Z ==> join( X, Y, Z ),
% 86.64/87.03 empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 86.64/87.03 X ) ), ! element( Z, the_carrier( X ) ), ! below( X, Y, Z ) }.
% 86.64/87.03 parent0[5]: (6) {G0,W22,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ), ! below( X, Y, Z ), join( X, Y, Z ) ==> Z }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41359) {G1,W20,D3,L5,V2,M5} { X ==> join( skol8, Y, X ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( Y, the_carrier( skol8 ) ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), ! below( skol8, Y, X ) }.
% 86.64/87.03 parent0[0]: (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.64/87.03 parent1[1]: (41358) {G0,W22,D3,L6,V3,M6} { Z ==> join( X, Y, Z ),
% 86.64/87.03 empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 86.64/87.03 X ) ), ! element( Z, the_carrier( X ) ), ! below( X, Y, Z ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 X := skol8
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := X
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41363) {G1,W18,D3,L4,V2,M4} { X ==> join( skol8, Y, X ), !
% 86.64/87.03 element( Y, the_carrier( skol8 ) ), ! element( X, the_carrier( skol8 ) )
% 86.64/87.03 , ! below( skol8, Y, X ) }.
% 86.64/87.03 parent0[1]: (41359) {G1,W20,D3,L5,V2,M5} { X ==> join( skol8, Y, X ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( Y, the_carrier( skol8 ) ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), ! below( skol8, Y, X ) }.
% 86.64/87.03 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { join_semilatt_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41364) {G1,W18,D3,L4,V2,M4} { join( skol8, Y, X ) ==> X, !
% 86.64/87.03 element( Y, the_carrier( skol8 ) ), ! element( X, the_carrier( skol8 ) )
% 86.64/87.03 , ! below( skol8, Y, X ) }.
% 86.64/87.03 parent0[0]: (41363) {G1,W18,D3,L4,V2,M4} { X ==> join( skol8, Y, X ), !
% 86.64/87.03 element( Y, the_carrier( skol8 ) ), ! element( X, the_carrier( skol8 ) )
% 86.64/87.03 , ! below( skol8, Y, X ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (123) {G1,W18,D3,L4,V2,M4} R(6,37);r(39) { ! element( X,
% 86.64/87.03 the_carrier( skol8 ) ), ! element( Y, the_carrier( skol8 ) ), ! below(
% 86.64/87.03 skol8, X, Y ), join( skol8, X, Y ) ==> Y }.
% 86.64/87.03 parent0: (41364) {G1,W18,D3,L4,V2,M4} { join( skol8, Y, X ) ==> X, !
% 86.64/87.03 element( Y, the_carrier( skol8 ) ), ! element( X, the_carrier( skol8 ) )
% 86.64/87.03 , ! below( skol8, Y, X ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := Y
% 86.64/87.03 Y := X
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 3
% 86.64/87.03 1 ==> 0
% 86.64/87.03 2 ==> 1
% 86.64/87.03 3 ==> 2
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41367) {G0,W22,D3,L6,V3,M6} { Z ==> join( X, Y, Z ),
% 86.64/87.03 empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 86.64/87.03 X ) ), ! element( Z, the_carrier( X ) ), ! below( X, Y, Z ) }.
% 86.64/87.03 parent0[5]: (6) {G0,W22,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ), ! below( X, Y, Z ), join( X, Y, Z ) ==> Z }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41369) {G1,W22,D3,L6,V3,M6} { X ==> join( Y, Z, X ),
% 86.64/87.03 empty_carrier( Y ), ! join_semilatt_str( Y ), ! element( Z, the_carrier(
% 86.64/87.03 Y ) ), ! below( Y, Z, X ), ! in( X, the_carrier( Y ) ) }.
% 86.64/87.03 parent0[4]: (41367) {G0,W22,D3,L6,V3,M6} { Z ==> join( X, Y, Z ),
% 86.64/87.03 empty_carrier( X ), ! join_semilatt_str( X ), ! element( Y, the_carrier(
% 86.64/87.03 X ) ), ! element( Z, the_carrier( X ) ), ! below( X, Y, Z ) }.
% 86.64/87.03 parent1[1]: (36) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), element( X, Y ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := Y
% 86.64/87.03 Y := Z
% 86.64/87.03 Z := X
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 X := X
% 86.64/87.03 Y := the_carrier( Y )
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41370) {G1,W22,D3,L6,V3,M6} { join( Y, Z, X ) ==> X,
% 86.64/87.03 empty_carrier( Y ), ! join_semilatt_str( Y ), ! element( Z, the_carrier(
% 86.64/87.03 Y ) ), ! below( Y, Z, X ), ! in( X, the_carrier( Y ) ) }.
% 86.64/87.03 parent0[0]: (41369) {G1,W22,D3,L6,V3,M6} { X ==> join( Y, Z, X ),
% 86.64/87.03 empty_carrier( Y ), ! join_semilatt_str( Y ), ! element( Z, the_carrier(
% 86.64/87.03 Y ) ), ! below( Y, Z, X ), ! in( X, the_carrier( Y ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (216) {G1,W22,D3,L6,V3,M6} R(36,6) { ! in( X, the_carrier( Y )
% 86.64/87.03 ), empty_carrier( Y ), ! join_semilatt_str( Y ), ! element( Z,
% 86.64/87.03 the_carrier( Y ) ), ! below( Y, Z, X ), join( Y, Z, X ) ==> X }.
% 86.64/87.03 parent0: (41370) {G1,W22,D3,L6,V3,M6} { join( Y, Z, X ) ==> X,
% 86.64/87.03 empty_carrier( Y ), ! join_semilatt_str( Y ), ! element( Z, the_carrier(
% 86.64/87.03 Y ) ), ! below( Y, Z, X ), ! in( X, the_carrier( Y ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 5
% 86.64/87.03 1 ==> 1
% 86.64/87.03 2 ==> 2
% 86.64/87.03 3 ==> 3
% 86.64/87.03 4 ==> 4
% 86.64/87.03 5 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41372) {G1,W23,D3,L6,V3,M6} { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ), join_commut( X, Y, Z ) = join_commut( X, Z, Y ), ! in
% 86.64/87.03 ( Y, the_carrier( X ) ) }.
% 86.64/87.03 parent0[3]: (4) {G0,W23,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Y,
% 86.64/87.03 the_carrier( X ) ), ! element( Z, the_carrier( X ) ), join_commut( X, Y,
% 86.64/87.03 Z ) = join_commut( X, Z, Y ) }.
% 86.64/87.03 parent1[1]: (36) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), element( X, Y ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 X := Y
% 86.64/87.03 Y := the_carrier( X )
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (219) {G1,W23,D3,L6,V3,M6} R(36,4) { ! in( X, the_carrier( Y )
% 86.64/87.03 ), empty_carrier( Y ), ! join_commutative( Y ), ! join_semilatt_str( Y )
% 86.64/87.03 , ! element( Z, the_carrier( Y ) ), join_commut( Y, X, Z ) = join_commut
% 86.64/87.03 ( Y, Z, X ) }.
% 86.64/87.03 parent0: (41372) {G1,W23,D3,L6,V3,M6} { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ), join_commut( X, Y, Z ) = join_commut( X, Z, Y ), ! in
% 86.64/87.03 ( Y, the_carrier( X ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := Y
% 86.64/87.03 Y := X
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 1
% 86.64/87.03 1 ==> 2
% 86.64/87.03 2 ==> 3
% 86.64/87.03 3 ==> 4
% 86.64/87.03 4 ==> 5
% 86.64/87.03 5 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41374) {G1,W5,D3,L2,V0,M2} { empty_carrier( skol8 ), ! empty
% 86.64/87.03 ( the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[1]: (26) {G0,W7,D3,L3,V1,M3} I { empty_carrier( X ), !
% 86.64/87.03 one_sorted_str( X ), ! empty( the_carrier( X ) ) }.
% 86.64/87.03 parent1[0]: (65) {G1,W2,D2,L1,V0,M1} R(12,39) { one_sorted_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol8
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41375) {G1,W3,D3,L1,V0,M1} { ! empty( the_carrier( skol8 ) )
% 86.64/87.03 }.
% 86.64/87.03 parent0[0]: (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.64/87.03 parent1[0]: (41374) {G1,W5,D3,L2,V0,M2} { empty_carrier( skol8 ), ! empty
% 86.64/87.03 ( the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (301) {G2,W3,D3,L1,V0,M1} R(26,65);r(37) { ! empty(
% 86.64/87.03 the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0: (41375) {G1,W3,D3,L1,V0,M1} { ! empty( the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41376) {G0,W23,D3,L6,V3,M6} { join_commut( X, Y, Z ) ==> join( X
% 86.64/87.03 , Y, Z ), empty_carrier( X ), ! join_commutative( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ) }.
% 86.64/87.03 parent0[5]: (32) {G0,W23,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Y,
% 86.64/87.03 the_carrier( X ) ), ! element( Z, the_carrier( X ) ), join( X, Y, Z ) ==>
% 86.64/87.03 join_commut( X, Y, Z ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41377) {G1,W19,D3,L5,V1,M5} { join_commut( skol8, skol9, X )
% 86.64/87.03 ==> join( skol8, skol9, X ), empty_carrier( skol8 ), ! join_commutative(
% 86.64/87.03 skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 )
% 86.64/87.03 ) }.
% 86.64/87.03 parent0[4]: (41376) {G0,W23,D3,L6,V3,M6} { join_commut( X, Y, Z ) ==> join
% 86.64/87.03 ( X, Y, Z ), empty_carrier( X ), ! join_commutative( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ) }.
% 86.64/87.03 parent1[0]: (40) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol8
% 86.64/87.03 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol8
% 86.64/87.03 Y := skol9
% 86.64/87.03 Z := X
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41379) {G1,W17,D3,L4,V1,M4} { join_commut( skol8, skol9, X )
% 86.64/87.03 ==> join( skol8, skol9, X ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[0]: (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.64/87.03 parent1[1]: (41377) {G1,W19,D3,L5,V1,M5} { join_commut( skol8, skol9, X )
% 86.64/87.03 ==> join( skol8, skol9, X ), empty_carrier( skol8 ), ! join_commutative(
% 86.64/87.03 skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 )
% 86.64/87.03 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41380) {G1,W17,D3,L4,V1,M4} { join( skol8, skol9, X ) ==>
% 86.64/87.03 join_commut( skol8, skol9, X ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[0]: (41379) {G1,W17,D3,L4,V1,M4} { join_commut( skol8, skol9, X )
% 86.64/87.03 ==> join( skol8, skol9, X ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (381) {G1,W17,D3,L4,V1,M4} R(32,40);r(37) { ! join_commutative
% 86.64/87.03 ( skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8
% 86.64/87.03 ) ), join( skol8, skol9, X ) ==> join_commut( skol8, skol9, X ) }.
% 86.64/87.03 parent0: (41380) {G1,W17,D3,L4,V1,M4} { join( skol8, skol9, X ) ==>
% 86.64/87.03 join_commut( skol8, skol9, X ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 3
% 86.64/87.03 1 ==> 0
% 86.64/87.03 2 ==> 1
% 86.64/87.03 3 ==> 2
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41381) {G0,W23,D3,L6,V3,M6} { join_commut( X, Y, Z ) ==> join( X
% 86.64/87.03 , Y, Z ), empty_carrier( X ), ! join_commutative( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ) }.
% 86.64/87.03 parent0[5]: (32) {G0,W23,D3,L6,V3,M6} I { empty_carrier( X ), !
% 86.64/87.03 join_commutative( X ), ! join_semilatt_str( X ), ! element( Y,
% 86.64/87.03 the_carrier( X ) ), ! element( Z, the_carrier( X ) ), join( X, Y, Z ) ==>
% 86.64/87.03 join_commut( X, Y, Z ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 Z := Z
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41383) {G1,W19,D3,L5,V1,M5} { join_commut( skol8, X, skol9 )
% 86.64/87.03 ==> join( skol8, X, skol9 ), empty_carrier( skol8 ), ! join_commutative(
% 86.64/87.03 skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 )
% 86.64/87.03 ) }.
% 86.64/87.03 parent0[5]: (41381) {G0,W23,D3,L6,V3,M6} { join_commut( X, Y, Z ) ==> join
% 86.64/87.03 ( X, Y, Z ), empty_carrier( X ), ! join_commutative( X ), !
% 86.64/87.03 join_semilatt_str( X ), ! element( Y, the_carrier( X ) ), ! element( Z,
% 86.64/87.03 the_carrier( X ) ) }.
% 86.64/87.03 parent1[0]: (40) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol8
% 86.64/87.03 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol8
% 86.64/87.03 Y := X
% 86.64/87.03 Z := skol9
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41386) {G1,W17,D3,L4,V1,M4} { join_commut( skol8, X, skol9 )
% 86.64/87.03 ==> join( skol8, X, skol9 ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[0]: (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.64/87.03 parent1[1]: (41383) {G1,W19,D3,L5,V1,M5} { join_commut( skol8, X, skol9 )
% 86.64/87.03 ==> join( skol8, X, skol9 ), empty_carrier( skol8 ), ! join_commutative(
% 86.64/87.03 skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 )
% 86.64/87.03 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41387) {G1,W17,D3,L4,V1,M4} { join( skol8, X, skol9 ) ==>
% 86.64/87.03 join_commut( skol8, X, skol9 ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[0]: (41386) {G1,W17,D3,L4,V1,M4} { join_commut( skol8, X, skol9 )
% 86.64/87.03 ==> join( skol8, X, skol9 ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (382) {G1,W17,D3,L4,V1,M4} R(32,40);r(37) { ! join_commutative
% 86.64/87.03 ( skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8
% 86.64/87.03 ) ), join( skol8, X, skol9 ) ==> join_commut( skol8, X, skol9 ) }.
% 86.64/87.03 parent0: (41387) {G1,W17,D3,L4,V1,M4} { join( skol8, X, skol9 ) ==>
% 86.64/87.03 join_commut( skol8, X, skol9 ), ! join_commutative( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 3
% 86.64/87.03 1 ==> 0
% 86.64/87.03 2 ==> 1
% 86.64/87.03 3 ==> 2
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41388) {G1,W7,D3,L2,V0,M2} { empty( the_carrier( skol8 ) ),
% 86.64/87.03 in( skol9, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[0]: (45) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 86.64/87.03 ( X, Y ) }.
% 86.64/87.03 parent1[0]: (40) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol8
% 86.64/87.03 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol9
% 86.64/87.03 Y := the_carrier( skol8 )
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41389) {G2,W4,D3,L1,V0,M1} { in( skol9, the_carrier( skol8 )
% 86.64/87.03 ) }.
% 86.64/87.03 parent0[0]: (301) {G2,W3,D3,L1,V0,M1} R(26,65);r(37) { ! empty( the_carrier
% 86.64/87.03 ( skol8 ) ) }.
% 86.64/87.03 parent1[0]: (41388) {G1,W7,D3,L2,V0,M2} { empty( the_carrier( skol8 ) ),
% 86.64/87.03 in( skol9, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (552) {G3,W4,D3,L1,V0,M1} R(45,40);r(301) { in( skol9,
% 86.64/87.03 the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0: (41389) {G2,W4,D3,L1,V0,M1} { in( skol9, the_carrier( skol8 ) )
% 86.64/87.03 }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41390) {G1,W18,D3,L4,V2,M4} { Y ==> join( skol8, X, Y ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), ! element( Y, the_carrier( skol8 ) )
% 86.64/87.03 , ! below( skol8, X, Y ) }.
% 86.64/87.03 parent0[3]: (123) {G1,W18,D3,L4,V2,M4} R(6,37);r(39) { ! element( X,
% 86.64/87.03 the_carrier( skol8 ) ), ! element( Y, the_carrier( skol8 ) ), ! below(
% 86.64/87.03 skol8, X, Y ), join( skol8, X, Y ) ==> Y }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 Y := Y
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41391) {G1,W14,D3,L3,V0,M3} { skol10 ==> join( skol8, skol9,
% 86.64/87.03 skol10 ), ! element( skol9, the_carrier( skol8 ) ), ! element( skol10,
% 86.64/87.03 the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[3]: (41390) {G1,W18,D3,L4,V2,M4} { Y ==> join( skol8, X, Y ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), ! element( Y, the_carrier( skol8 ) )
% 86.64/87.03 , ! below( skol8, X, Y ) }.
% 86.64/87.03 parent1[0]: (42) {G0,W4,D2,L1,V0,M1} I { below( skol8, skol9, skol10 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol9
% 86.64/87.03 Y := skol10
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41392) {G1,W10,D3,L2,V0,M2} { skol10 ==> join( skol8, skol9,
% 86.64/87.03 skol10 ), ! element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[1]: (41391) {G1,W14,D3,L3,V0,M3} { skol10 ==> join( skol8, skol9,
% 86.64/87.03 skol10 ), ! element( skol9, the_carrier( skol8 ) ), ! element( skol10,
% 86.64/87.03 the_carrier( skol8 ) ) }.
% 86.64/87.03 parent1[0]: (40) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol8
% 86.64/87.03 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41393) {G1,W10,D3,L2,V0,M2} { join( skol8, skol9, skol10 ) ==>
% 86.64/87.03 skol10, ! element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[0]: (41392) {G1,W10,D3,L2,V0,M2} { skol10 ==> join( skol8, skol9,
% 86.64/87.03 skol10 ), ! element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (2530) {G2,W10,D3,L2,V0,M2} R(123,42);r(40) { ! element(
% 86.64/87.03 skol10, the_carrier( skol8 ) ), join( skol8, skol9, skol10 ) ==> skol10
% 86.64/87.03 }.
% 86.64/87.03 parent0: (41393) {G1,W10,D3,L2,V0,M2} { join( skol8, skol9, skol10 ) ==>
% 86.64/87.03 skol10, ! element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 1
% 86.64/87.03 1 ==> 0
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41394) {G1,W22,D3,L6,V3,M6} { Z ==> join( X, Y, Z ), ! in( Z,
% 86.64/87.03 the_carrier( X ) ), empty_carrier( X ), ! join_semilatt_str( X ), !
% 86.64/87.03 element( Y, the_carrier( X ) ), ! below( X, Y, Z ) }.
% 86.64/87.03 parent0[5]: (216) {G1,W22,D3,L6,V3,M6} R(36,6) { ! in( X, the_carrier( Y )
% 86.64/87.03 ), empty_carrier( Y ), ! join_semilatt_str( Y ), ! element( Z,
% 86.64/87.03 the_carrier( Y ) ), ! below( Y, Z, X ), join( Y, Z, X ) ==> X }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := Z
% 86.64/87.03 Y := X
% 86.64/87.03 Z := Y
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41395) {G1,W18,D3,L5,V0,M5} { skol9 ==> join( skol8, skol10,
% 86.64/87.03 skol9 ), ! in( skol9, the_carrier( skol8 ) ), empty_carrier( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[5]: (41394) {G1,W22,D3,L6,V3,M6} { Z ==> join( X, Y, Z ), ! in( Z
% 86.64/87.03 , the_carrier( X ) ), empty_carrier( X ), ! join_semilatt_str( X ), !
% 86.64/87.03 element( Y, the_carrier( X ) ), ! below( X, Y, Z ) }.
% 86.64/87.03 parent1[0]: (43) {G0,W4,D2,L1,V0,M1} I { below( skol8, skol10, skol9 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol8
% 86.64/87.03 Y := skol10
% 86.64/87.03 Z := skol9
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41396) {G2,W14,D3,L4,V0,M4} { skol9 ==> join( skol8, skol10,
% 86.64/87.03 skol9 ), empty_carrier( skol8 ), ! join_semilatt_str( skol8 ), ! element
% 86.64/87.03 ( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[1]: (41395) {G1,W18,D3,L5,V0,M5} { skol9 ==> join( skol8, skol10,
% 86.64/87.03 skol9 ), ! in( skol9, the_carrier( skol8 ) ), empty_carrier( skol8 ), !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent1[0]: (552) {G3,W4,D3,L1,V0,M1} R(45,40);r(301) { in( skol9,
% 86.64/87.03 the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 eqswap: (41397) {G2,W14,D3,L4,V0,M4} { join( skol8, skol10, skol9 ) ==>
% 86.64/87.03 skol9, empty_carrier( skol8 ), ! join_semilatt_str( skol8 ), ! element(
% 86.64/87.03 skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 parent0[0]: (41396) {G2,W14,D3,L4,V0,M4} { skol9 ==> join( skol8, skol10,
% 86.64/87.03 skol9 ), empty_carrier( skol8 ), ! join_semilatt_str( skol8 ), ! element
% 86.64/87.03 ( skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (8624) {G4,W14,D3,L4,V0,M4} R(216,43);r(552) { empty_carrier(
% 86.64/87.03 skol8 ), ! join_semilatt_str( skol8 ), ! element( skol10, the_carrier(
% 86.64/87.03 skol8 ) ), join( skol8, skol10, skol9 ) ==> skol9 }.
% 86.64/87.03 parent0: (41397) {G2,W14,D3,L4,V0,M4} { join( skol8, skol10, skol9 ) ==>
% 86.64/87.03 skol9, empty_carrier( skol8 ), ! join_semilatt_str( skol8 ), ! element(
% 86.64/87.03 skol10, the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 3
% 86.64/87.03 1 ==> 0
% 86.64/87.03 2 ==> 1
% 86.64/87.03 3 ==> 2
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41399) {G1,W15,D3,L3,V1,M3} { ! join_semilatt_str( skol8 ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), join( skol8, skol9, X ) ==>
% 86.64/87.03 join_commut( skol8, skol9, X ) }.
% 86.64/87.03 parent0[0]: (381) {G1,W17,D3,L4,V1,M4} R(32,40);r(37) { ! join_commutative
% 86.64/87.03 ( skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8
% 86.64/87.03 ) ), join( skol8, skol9, X ) ==> join_commut( skol8, skol9, X ) }.
% 86.64/87.03 parent1[0]: (38) {G0,W2,D2,L1,V0,M1} I { join_commutative( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41400) {G1,W13,D3,L2,V1,M2} { ! element( X, the_carrier(
% 86.64/87.03 skol8 ) ), join( skol8, skol9, X ) ==> join_commut( skol8, skol9, X ) }.
% 86.64/87.03 parent0[0]: (41399) {G1,W15,D3,L3,V1,M3} { ! join_semilatt_str( skol8 ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), join( skol8, skol9, X ) ==>
% 86.64/87.03 join_commut( skol8, skol9, X ) }.
% 86.64/87.03 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { join_semilatt_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (18259) {G2,W13,D3,L2,V1,M2} S(381);r(38);r(39) { ! element( X
% 86.64/87.03 , the_carrier( skol8 ) ), join( skol8, skol9, X ) ==> join_commut( skol8
% 86.64/87.03 , skol9, X ) }.
% 86.64/87.03 parent0: (41400) {G1,W13,D3,L2,V1,M2} { ! element( X, the_carrier( skol8 )
% 86.64/87.03 ), join( skol8, skol9, X ) ==> join_commut( skol8, skol9, X ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41403) {G1,W15,D3,L3,V1,M3} { ! join_semilatt_str( skol8 ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), join( skol8, X, skol9 ) ==>
% 86.64/87.03 join_commut( skol8, X, skol9 ) }.
% 86.64/87.03 parent0[0]: (382) {G1,W17,D3,L4,V1,M4} R(32,40);r(37) { ! join_commutative
% 86.64/87.03 ( skol8 ), ! join_semilatt_str( skol8 ), ! element( X, the_carrier( skol8
% 86.64/87.03 ) ), join( skol8, X, skol9 ) ==> join_commut( skol8, X, skol9 ) }.
% 86.64/87.03 parent1[0]: (38) {G0,W2,D2,L1,V0,M1} I { join_commutative( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41404) {G1,W13,D3,L2,V1,M2} { ! element( X, the_carrier(
% 86.64/87.03 skol8 ) ), join( skol8, X, skol9 ) ==> join_commut( skol8, X, skol9 ) }.
% 86.64/87.03 parent0[0]: (41403) {G1,W15,D3,L3,V1,M3} { ! join_semilatt_str( skol8 ), !
% 86.64/87.03 element( X, the_carrier( skol8 ) ), join( skol8, X, skol9 ) ==>
% 86.64/87.03 join_commut( skol8, X, skol9 ) }.
% 86.64/87.03 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { join_semilatt_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (18428) {G2,W13,D3,L2,V1,M2} S(382);r(38);r(39) { ! element( X
% 86.64/87.03 , the_carrier( skol8 ) ), join( skol8, X, skol9 ) ==> join_commut( skol8
% 86.64/87.03 , X, skol9 ) }.
% 86.64/87.03 parent0: (41404) {G1,W13,D3,L2,V1,M2} { ! element( X, the_carrier( skol8 )
% 86.64/87.03 ), join( skol8, X, skol9 ) ==> join_commut( skol8, X, skol9 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := X
% 86.64/87.03 end
% 86.64/87.03 permutation0:
% 86.64/87.03 0 ==> 0
% 86.64/87.03 1 ==> 1
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 paramod: (41408) {G3,W18,D3,L5,V0,M5} { join_commut( skol8, skol10, skol9
% 86.64/87.03 ) ==> skol9, ! element( skol10, the_carrier( skol8 ) ), empty_carrier(
% 86.64/87.03 skol8 ), ! join_semilatt_str( skol8 ), ! element( skol10, the_carrier(
% 86.64/87.03 skol8 ) ) }.
% 86.64/87.03 parent0[1]: (18428) {G2,W13,D3,L2,V1,M2} S(382);r(38);r(39) { ! element( X
% 86.64/87.03 , the_carrier( skol8 ) ), join( skol8, X, skol9 ) ==> join_commut( skol8
% 86.64/87.03 , X, skol9 ) }.
% 86.64/87.03 parent1[3; 1]: (8624) {G4,W14,D3,L4,V0,M4} R(216,43);r(552) { empty_carrier
% 86.64/87.03 ( skol8 ), ! join_semilatt_str( skol8 ), ! element( skol10, the_carrier(
% 86.64/87.03 skol8 ) ), join( skol8, skol10, skol9 ) ==> skol9 }.
% 86.64/87.03 substitution0:
% 86.64/87.03 X := skol10
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 factor: (41409) {G3,W14,D3,L4,V0,M4} { join_commut( skol8, skol10, skol9 )
% 86.64/87.03 ==> skol9, ! element( skol10, the_carrier( skol8 ) ), empty_carrier(
% 86.64/87.03 skol8 ), ! join_semilatt_str( skol8 ) }.
% 86.64/87.03 parent0[1, 4]: (41408) {G3,W18,D3,L5,V0,M5} { join_commut( skol8, skol10,
% 86.64/87.03 skol9 ) ==> skol9, ! element( skol10, the_carrier( skol8 ) ),
% 86.64/87.03 empty_carrier( skol8 ), ! join_semilatt_str( skol8 ), ! element( skol10,
% 86.64/87.03 the_carrier( skol8 ) ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 resolution: (41410) {G1,W12,D3,L3,V0,M3} { join_commut( skol8, skol10,
% 86.64/87.03 skol9 ) ==> skol9, ! element( skol10, the_carrier( skol8 ) ), !
% 86.64/87.03 join_semilatt_str( skol8 ) }.
% 86.64/87.03 parent0[0]: (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.64/87.03 parent1[2]: (41409) {G3,W14,D3,L4,V0,M4} { join_commut( skol8, skol10,
% 86.64/87.03 skol9 ) ==> skol9, ! element( skol10, the_carrier( skol8 ) ),
% 86.64/87.03 empty_carrier( skol8 ), ! join_semilatt_str( skol8 ) }.
% 86.64/87.03 substitution0:
% 86.64/87.03 end
% 86.64/87.03 substitution1:
% 86.64/87.03 end
% 86.64/87.03
% 86.64/87.03 subsumption: (20129) {G5,W12,D3,L3,V0,M3} S(8624);d(18428);r(37) { !
% 86.64/87.03 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.64/87.03 join_commut( skol8, skol10, skol9 ) ==> skol9 }.
% 86.64/87.03 parent0: (41410) {G1,W12,D3,L3,V0,M3} { join_commut( skol8, skol10, skol9
% 86.80/87.18 ) ==> skol9, ! element( skol10, the_carrier( skol8 ) ), !
% 86.80/87.18 join_semilatt_str( skol8 ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 permutation0:
% 86.80/87.18 0 ==> 2
% 86.80/87.18 1 ==> 1
% 86.80/87.18 2 ==> 0
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 paramod: (41414) {G3,W14,D3,L3,V0,M3} { join_commut( skol8, skol9, skol10
% 86.80/87.18 ) ==> skol10, ! element( skol10, the_carrier( skol8 ) ), ! element(
% 86.80/87.18 skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 parent0[1]: (18259) {G2,W13,D3,L2,V1,M2} S(381);r(38);r(39) { ! element( X
% 86.80/87.18 , the_carrier( skol8 ) ), join( skol8, skol9, X ) ==> join_commut( skol8
% 86.80/87.18 , skol9, X ) }.
% 86.80/87.18 parent1[1; 1]: (2530) {G2,W10,D3,L2,V0,M2} R(123,42);r(40) { ! element(
% 86.80/87.18 skol10, the_carrier( skol8 ) ), join( skol8, skol9, skol10 ) ==> skol10
% 86.80/87.18 }.
% 86.80/87.18 substitution0:
% 86.80/87.18 X := skol10
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 factor: (41415) {G3,W10,D3,L2,V0,M2} { join_commut( skol8, skol9, skol10 )
% 86.80/87.18 ==> skol10, ! element( skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 parent0[1, 2]: (41414) {G3,W14,D3,L3,V0,M3} { join_commut( skol8, skol9,
% 86.80/87.18 skol10 ) ==> skol10, ! element( skol10, the_carrier( skol8 ) ), ! element
% 86.80/87.18 ( skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 resolution: (41416) {G1,W6,D3,L1,V0,M1} { join_commut( skol8, skol9,
% 86.80/87.18 skol10 ) ==> skol10 }.
% 86.80/87.18 parent0[1]: (41415) {G3,W10,D3,L2,V0,M2} { join_commut( skol8, skol9,
% 86.80/87.18 skol10 ) ==> skol10, ! element( skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 parent1[0]: (41) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier(
% 86.80/87.18 skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 subsumption: (20190) {G3,W6,D3,L1,V0,M1} S(2530);d(18259);r(41) {
% 86.80/87.18 join_commut( skol8, skol9, skol10 ) ==> skol10 }.
% 86.80/87.18 parent0: (41416) {G1,W6,D3,L1,V0,M1} { join_commut( skol8, skol9, skol10 )
% 86.80/87.18 ==> skol10 }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 permutation0:
% 86.80/87.18 0 ==> 0
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 eqswap: (41418) {G3,W6,D3,L1,V0,M1} { skol10 ==> join_commut( skol8, skol9
% 86.80/87.18 , skol10 ) }.
% 86.80/87.18 parent0[0]: (20190) {G3,W6,D3,L1,V0,M1} S(2530);d(18259);r(41) {
% 86.80/87.18 join_commut( skol8, skol9, skol10 ) ==> skol10 }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 paramod: (48447) {G2,W20,D3,L6,V0,M6} { skol10 ==> join_commut( skol8,
% 86.80/87.18 skol10, skol9 ), ! in( skol9, the_carrier( skol8 ) ), empty_carrier(
% 86.80/87.18 skol8 ), ! join_commutative( skol8 ), ! join_semilatt_str( skol8 ), !
% 86.80/87.18 element( skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 parent0[5]: (219) {G1,W23,D3,L6,V3,M6} R(36,4) { ! in( X, the_carrier( Y )
% 86.80/87.18 ), empty_carrier( Y ), ! join_commutative( Y ), ! join_semilatt_str( Y )
% 86.80/87.18 , ! element( Z, the_carrier( Y ) ), join_commut( Y, X, Z ) = join_commut
% 86.80/87.18 ( Y, Z, X ) }.
% 86.80/87.18 parent1[0; 2]: (41418) {G3,W6,D3,L1,V0,M1} { skol10 ==> join_commut( skol8
% 86.80/87.18 , skol9, skol10 ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 X := skol9
% 86.80/87.18 Y := skol8
% 86.80/87.18 Z := skol10
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 paramod: (48503) {G3,W23,D3,L8,V0,M8} { skol10 ==> skol9, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ), !
% 86.80/87.18 in( skol9, the_carrier( skol8 ) ), empty_carrier( skol8 ), !
% 86.80/87.18 join_commutative( skol8 ), ! join_semilatt_str( skol8 ), ! element(
% 86.80/87.18 skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 parent0[2]: (20129) {G5,W12,D3,L3,V0,M3} S(8624);d(18428);r(37) { !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 join_commut( skol8, skol10, skol9 ) ==> skol9 }.
% 86.80/87.18 parent1[0; 2]: (48447) {G2,W20,D3,L6,V0,M6} { skol10 ==> join_commut(
% 86.80/87.18 skol8, skol10, skol9 ), ! in( skol9, the_carrier( skol8 ) ),
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ), ! join_semilatt_str
% 86.80/87.18 ( skol8 ), ! element( skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 factor: (48504) {G3,W21,D3,L7,V0,M7} { skol10 ==> skol9, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ), !
% 86.80/87.18 in( skol9, the_carrier( skol8 ) ), empty_carrier( skol8 ), !
% 86.80/87.18 join_commutative( skol8 ), ! element( skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 parent0[1, 6]: (48503) {G3,W23,D3,L8,V0,M8} { skol10 ==> skol9, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ), !
% 86.80/87.18 in( skol9, the_carrier( skol8 ) ), empty_carrier( skol8 ), !
% 86.80/87.18 join_commutative( skol8 ), ! join_semilatt_str( skol8 ), ! element(
% 86.80/87.18 skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 resolution: (48507) {G4,W17,D3,L6,V0,M6} { skol10 ==> skol9, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ), ! element( skol10,
% 86.80/87.18 the_carrier( skol8 ) ) }.
% 86.80/87.18 parent0[3]: (48504) {G3,W21,D3,L7,V0,M7} { skol10 ==> skol9, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ), !
% 86.80/87.18 in( skol9, the_carrier( skol8 ) ), empty_carrier( skol8 ), !
% 86.80/87.18 join_commutative( skol8 ), ! element( skol10, the_carrier( skol8 ) ) }.
% 86.80/87.18 parent1[0]: (552) {G3,W4,D3,L1,V0,M1} R(45,40);r(301) { in( skol9,
% 86.80/87.18 the_carrier( skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 eqswap: (48508) {G4,W17,D3,L6,V0,M6} { skol9 ==> skol10, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ), ! element( skol10,
% 86.80/87.18 the_carrier( skol8 ) ) }.
% 86.80/87.18 parent0[0]: (48507) {G4,W17,D3,L6,V0,M6} { skol10 ==> skol9, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ), ! element( skol10,
% 86.80/87.18 the_carrier( skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 factor: (48509) {G4,W13,D3,L5,V0,M5} { skol9 ==> skol10, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ) }.
% 86.80/87.18 parent0[2, 5]: (48508) {G4,W17,D3,L6,V0,M6} { skol9 ==> skol10, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ), ! element( skol10,
% 86.80/87.18 the_carrier( skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 subsumption: (20218) {G6,W13,D3,L5,V0,M5} P(20190,219);d(20129);r(552) {
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ), ! join_semilatt_str
% 86.80/87.18 ( skol8 ), ! element( skol10, the_carrier( skol8 ) ), skol9 ==> skol10
% 86.80/87.18 }.
% 86.80/87.18 parent0: (48509) {G4,W13,D3,L5,V0,M5} { skol9 ==> skol10, !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 permutation0:
% 86.80/87.18 0 ==> 4
% 86.80/87.18 1 ==> 2
% 86.80/87.18 2 ==> 3
% 86.80/87.18 3 ==> 0
% 86.80/87.18 4 ==> 1
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 resolution: (48513) {G1,W11,D3,L4,V0,M4} { ! join_commutative( skol8 ), !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 skol9 ==> skol10 }.
% 86.80/87.18 parent0[0]: (37) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol8 ) }.
% 86.80/87.18 parent1[0]: (20218) {G6,W13,D3,L5,V0,M5} P(20190,219);d(20129);r(552) {
% 86.80/87.18 empty_carrier( skol8 ), ! join_commutative( skol8 ), ! join_semilatt_str
% 86.80/87.18 ( skol8 ), ! element( skol10, the_carrier( skol8 ) ), skol9 ==> skol10
% 86.80/87.18 }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 resolution: (48514) {G1,W9,D3,L3,V0,M3} { ! join_semilatt_str( skol8 ), !
% 86.80/87.18 element( skol10, the_carrier( skol8 ) ), skol9 ==> skol10 }.
% 86.80/87.18 parent0[0]: (48513) {G1,W11,D3,L4,V0,M4} { ! join_commutative( skol8 ), !
% 86.80/87.18 join_semilatt_str( skol8 ), ! element( skol10, the_carrier( skol8 ) ),
% 86.80/87.18 skol9 ==> skol10 }.
% 86.80/87.18 parent1[0]: (38) {G0,W2,D2,L1,V0,M1} I { join_commutative( skol8 ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 resolution: (48515) {G1,W7,D3,L2,V0,M2} { ! element( skol10, the_carrier(
% 86.80/87.18 skol8 ) ), skol9 ==> skol10 }.
% 86.80/87.18 parent0[0]: (48514) {G1,W9,D3,L3,V0,M3} { ! join_semilatt_str( skol8 ), !
% 86.80/87.18 element( skol10, the_carrier( skol8 ) ), skol9 ==> skol10 }.
% 86.80/87.18 parent1[0]: (39) {G0,W2,D2,L1,V0,M1} I { join_semilatt_str( skol8 ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 resolution: (48516) {G1,W3,D2,L1,V0,M1} { skol9 ==> skol10 }.
% 86.80/87.18 parent0[0]: (48515) {G1,W7,D3,L2,V0,M2} { ! element( skol10, the_carrier(
% 86.80/87.18 skol8 ) ), skol9 ==> skol10 }.
% 86.80/87.18 parent1[0]: (41) {G0,W4,D3,L1,V0,M1} I { element( skol10, the_carrier(
% 86.80/87.18 skol8 ) ) }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 resolution: (48517) {G1,W0,D0,L0,V0,M0} { }.
% 86.80/87.18 parent0[0]: (44) {G0,W3,D2,L1,V0,M1} I { ! skol9 ==> skol10 }.
% 86.80/87.18 parent1[0]: (48516) {G1,W3,D2,L1,V0,M1} { skol9 ==> skol10 }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 substitution1:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 subsumption: (40965) {G7,W0,D0,L0,V0,M0} S(20218);r(37);r(38);r(39);r(41);r
% 86.80/87.18 (44) { }.
% 86.80/87.18 parent0: (48517) {G1,W0,D0,L0,V0,M0} { }.
% 86.80/87.18 substitution0:
% 86.80/87.18 end
% 86.80/87.18 permutation0:
% 86.80/87.18 end
% 86.80/87.18
% 86.80/87.18 Proof check complete!
% 86.80/87.18
% 86.80/87.18 Memory use:
% 86.80/87.18
% 86.80/87.18 space for terms: 582365
% 86.80/87.18 space for clauses: 1581392
% 86.80/87.18
% 86.80/87.18
% 86.80/87.18 clauses generated: 618151
% 86.80/87.18 clauses kept: 40966
% 86.80/87.18 clauses selected: 1848
% 86.80/87.18 clauses deleted: 5578
% 86.80/87.18 clauses inuse deleted: 27
% 86.80/87.18
% 86.80/87.18 subsentry: 1353237
% 86.80/87.18 literals s-matched: 949456
% 86.80/87.18 literals matched: 850135
% 86.80/87.18 full subsumption: 178458
% 86.80/87.18
% 86.80/87.18 checksum: 409160624
% 86.80/87.18
% 86.80/87.18
% 86.80/87.18 Bliksem ended
%------------------------------------------------------------------------------