TSTP Solution File: SEU361+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU361+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 07:12:45 EDT 2022
% Result : Theorem 0.88s 1.27s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU361+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 19 22:56:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.27 *** allocated 10000 integers for termspace/termends
% 0.88/1.27 *** allocated 10000 integers for clauses
% 0.88/1.27 *** allocated 10000 integers for justifications
% 0.88/1.27 Bliksem 1.12
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Automatic Strategy Selection
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Clauses:
% 0.88/1.27
% 0.88/1.27 { ! in( X, Y ), ! in( Y, X ) }.
% 0.88/1.27 { ! empty( X ), finite( X ) }.
% 0.88/1.27 { ! rel_str( X ), bottom_of_relstr( X ) = join_on_relstr( X, empty_set ) }
% 0.88/1.27 .
% 0.88/1.27 { && }.
% 0.88/1.27 { ! rel_str( X ), element( join_on_relstr( X, Y ), the_carrier( X ) ) }.
% 0.88/1.27 { ! rel_str( X ), element( bottom_of_relstr( X ), the_carrier( X ) ) }.
% 0.88/1.27 { ! rel_str( X ), one_sorted_str( X ) }.
% 0.88/1.27 { && }.
% 0.88/1.27 { && }.
% 0.88/1.27 { && }.
% 0.88/1.27 { rel_str( skol1 ) }.
% 0.88/1.27 { one_sorted_str( skol2 ) }.
% 0.88/1.27 { element( skol3( X ), X ) }.
% 0.88/1.27 { empty_carrier( X ), ! one_sorted_str( X ), ! empty( the_carrier( X ) ) }
% 0.88/1.27 .
% 0.88/1.27 { empty( empty_set ) }.
% 0.88/1.27 { ! empty( skol4 ) }.
% 0.88/1.27 { finite( skol4 ) }.
% 0.88/1.27 { empty( skol5 ) }.
% 0.88/1.27 { ! empty( skol6 ) }.
% 0.88/1.27 { one_sorted_str( skol7 ) }.
% 0.88/1.27 { ! empty_carrier( skol7 ) }.
% 0.88/1.27 { ! in( X, Y ), element( X, Y ) }.
% 0.88/1.27 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.88/1.27 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! element( Y, the_carrier( X
% 0.88/1.27 ) ), alpha1( X, Y, Z ) }.
% 0.88/1.27 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! element( Y, the_carrier( X
% 0.88/1.27 ) ), alpha2( X, Y, Z ), Y = join_on_relstr( X, Z ) }.
% 0.88/1.27 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! element( Y, the_carrier( X
% 0.88/1.27 ) ), alpha2( X, Y, Z ), ex_sup_of_relstr_set( X, Z ) }.
% 0.88/1.27 { ! alpha2( X, Y, Z ), ! relstr_set_smaller( X, Z, Y ), alpha4( X, Y, Z ) }
% 0.88/1.27 .
% 0.88/1.27 { relstr_set_smaller( X, Z, Y ), alpha2( X, Y, Z ) }.
% 0.88/1.27 { ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.88/1.27 { ! alpha4( X, Y, Z ), element( skol8( X, T, U ), the_carrier( X ) ) }.
% 0.88/1.27 { ! alpha4( X, Y, Z ), relstr_set_smaller( X, Z, skol8( X, T, Z ) ) }.
% 0.88/1.27 { ! alpha4( X, Y, Z ), ! related( X, Y, skol8( X, Y, Z ) ) }.
% 0.88/1.27 { ! element( T, the_carrier( X ) ), ! relstr_set_smaller( X, Z, T ),
% 0.88/1.27 related( X, Y, T ), alpha4( X, Y, Z ) }.
% 0.88/1.27 { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.88/1.27 { ! alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 0.88/1.27 { ! alpha5( X, Y, Z ), alpha1( X, Y, Z ) }.
% 0.88/1.27 { ! alpha5( X, Y, Z ), relstr_set_smaller( X, Z, Y ) }.
% 0.88/1.27 { ! alpha5( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.88/1.27 { ! relstr_set_smaller( X, Z, Y ), ! alpha6( X, Y, Z ), alpha5( X, Y, Z ) }
% 0.88/1.27 .
% 0.88/1.27 { ! alpha6( X, Y, Z ), ! element( T, the_carrier( X ) ), !
% 0.88/1.27 relstr_set_smaller( X, Z, T ), related( X, Y, T ) }.
% 0.88/1.27 { element( skol9( X, T, U ), the_carrier( X ) ), alpha6( X, Y, Z ) }.
% 0.88/1.27 { relstr_set_smaller( X, Z, skol9( X, T, Z ) ), alpha6( X, Y, Z ) }.
% 0.88/1.27 { ! related( X, Y, skol9( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 0.88/1.27 { ! alpha3( X, Y, Z ), ! Y = join_on_relstr( X, Z ), ! ex_sup_of_relstr_set
% 0.88/1.27 ( X, Z ) }.
% 0.88/1.27 { Y = join_on_relstr( X, Z ), alpha3( X, Y, Z ) }.
% 0.88/1.27 { ex_sup_of_relstr_set( X, Z ), alpha3( X, Y, Z ) }.
% 0.88/1.27 { empty_carrier( X ), ! antisymmetric_relstr( X ), ! lower_bounded_relstr(
% 0.88/1.27 X ), ! rel_str( X ), ex_sup_of_relstr_set( X, empty_set ) }.
% 0.88/1.27 { empty_carrier( X ), ! antisymmetric_relstr( X ), ! lower_bounded_relstr(
% 0.88/1.27 X ), ! rel_str( X ), ex_inf_of_relstr_set( X, the_carrier( X ) ) }.
% 0.88/1.27 { ! empty_carrier( skol10 ) }.
% 0.88/1.27 { antisymmetric_relstr( skol10 ) }.
% 0.88/1.27 { lower_bounded_relstr( skol10 ) }.
% 0.88/1.27 { rel_str( skol10 ) }.
% 0.88/1.27 { element( skol11, the_carrier( skol10 ) ) }.
% 0.88/1.27 { ! related( skol10, bottom_of_relstr( skol10 ), skol11 ) }.
% 0.88/1.27 { ! empty( X ), X = empty_set }.
% 0.88/1.27 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), relstr_set_smaller( X,
% 0.88/1.27 empty_set, Y ) }.
% 0.88/1.27 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), relstr_element_smaller
% 0.88/1.27 ( X, empty_set, Y ) }.
% 0.88/1.27 { ! in( X, Y ), ! empty( Y ) }.
% 0.88/1.27 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.88/1.27
% 0.88/1.27 percentage equality = 0.049180, percentage horn = 0.785714
% 0.88/1.27 This is a problem with some equality
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Options Used:
% 0.88/1.27
% 0.88/1.27 useres = 1
% 0.88/1.27 useparamod = 1
% 0.88/1.27 useeqrefl = 1
% 0.88/1.27 useeqfact = 1
% 0.88/1.27 usefactor = 1
% 0.88/1.27 usesimpsplitting = 0
% 0.88/1.27 usesimpdemod = 5
% 0.88/1.27 usesimpres = 3
% 0.88/1.27
% 0.88/1.27 resimpinuse = 1000
% 0.88/1.27 resimpclauses = 20000
% 0.88/1.27 substype = eqrewr
% 0.88/1.27 backwardsubs = 1
% 0.88/1.27 selectoldest = 5
% 0.88/1.27
% 0.88/1.27 litorderings [0] = split
% 0.88/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.27
% 0.88/1.27 termordering = kbo
% 0.88/1.27
% 0.88/1.27 litapriori = 0
% 0.88/1.27 termapriori = 1
% 0.88/1.27 litaposteriori = 0
% 0.88/1.27 termaposteriori = 0
% 0.88/1.27 demodaposteriori = 0
% 0.88/1.27 ordereqreflfact = 0
% 0.88/1.27
% 0.88/1.27 litselect = negord
% 0.88/1.27
% 0.88/1.27 maxweight = 15
% 0.88/1.27 maxdepth = 30000
% 0.88/1.27 maxlength = 115
% 0.88/1.27 maxnrvars = 195
% 0.88/1.27 excuselevel = 1
% 0.88/1.27 increasemaxweight = 1
% 0.88/1.27
% 0.88/1.27 maxselected = 10000000
% 0.88/1.27 maxnrclauses = 10000000
% 0.88/1.27
% 0.88/1.27 showgenerated = 0
% 0.88/1.27 showkept = 0
% 0.88/1.27 showselected = 0
% 0.88/1.27 showdeleted = 0
% 0.88/1.27 showresimp = 1
% 0.88/1.27 showstatus = 2000
% 0.88/1.27
% 0.88/1.27 prologoutput = 0
% 0.88/1.27 nrgoals = 5000000
% 0.88/1.27 totalproof = 1
% 0.88/1.27
% 0.88/1.27 Symbols occurring in the translation:
% 0.88/1.27
% 0.88/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.27 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 0.88/1.27 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.88/1.27 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.88/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.27 in [37, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.88/1.27 empty [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.88/1.27 finite [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.88/1.27 rel_str [40, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.88/1.27 bottom_of_relstr [41, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.88/1.27 empty_set [42, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.88/1.27 join_on_relstr [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.88/1.27 the_carrier [44, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.88/1.27 element [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.88/1.27 one_sorted_str [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.88/1.27 empty_carrier [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.88/1.27 antisymmetric_relstr [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.88/1.27 ex_sup_of_relstr_set [50, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.88/1.27 relstr_set_smaller [51, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.88/1.27 related [53, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.88/1.27 lower_bounded_relstr [54, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.88/1.27 ex_inf_of_relstr_set [55, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.88/1.27 relstr_element_smaller [56, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.88/1.27 alpha1 [57, 3] (w:1, o:66, a:1, s:1, b:1),
% 0.88/1.27 alpha2 [58, 3] (w:1, o:67, a:1, s:1, b:1),
% 0.88/1.27 alpha3 [59, 3] (w:1, o:68, a:1, s:1, b:1),
% 0.88/1.27 alpha4 [60, 3] (w:1, o:69, a:1, s:1, b:1),
% 0.88/1.27 alpha5 [61, 3] (w:1, o:70, a:1, s:1, b:1),
% 0.88/1.27 alpha6 [62, 3] (w:1, o:71, a:1, s:1, b:1),
% 0.88/1.27 skol1 [63, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.88/1.27 skol2 [64, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.88/1.27 skol3 [65, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.88/1.27 skol4 [66, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.88/1.27 skol5 [67, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.88/1.27 skol6 [68, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.88/1.27 skol7 [69, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.88/1.27 skol8 [70, 3] (w:1, o:72, a:1, s:1, b:1),
% 0.88/1.27 skol9 [71, 3] (w:1, o:73, a:1, s:1, b:1),
% 0.88/1.27 skol10 [72, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.88/1.27 skol11 [73, 0] (w:1, o:13, a:1, s:1, b:1).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Starting Search:
% 0.88/1.27
% 0.88/1.27 *** allocated 15000 integers for clauses
% 0.88/1.27 *** allocated 22500 integers for clauses
% 0.88/1.27 *** allocated 33750 integers for clauses
% 0.88/1.27 *** allocated 50625 integers for clauses
% 0.88/1.27 *** allocated 15000 integers for termspace/termends
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27 *** allocated 75937 integers for clauses
% 0.88/1.27 *** allocated 22500 integers for termspace/termends
% 0.88/1.27 *** allocated 113905 integers for clauses
% 0.88/1.27 *** allocated 33750 integers for termspace/termends
% 0.88/1.27
% 0.88/1.27 Intermediate Status:
% 0.88/1.27 Generated: 5569
% 0.88/1.27 Kept: 2005
% 0.88/1.27 Inuse: 243
% 0.88/1.27 Deleted: 6
% 0.88/1.27 Deletedinuse: 4
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27 *** allocated 170857 integers for clauses
% 0.88/1.27 *** allocated 50625 integers for termspace/termends
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27 *** allocated 256285 integers for clauses
% 0.88/1.27 *** allocated 75937 integers for termspace/termends
% 0.88/1.27
% 0.88/1.27 Intermediate Status:
% 0.88/1.27 Generated: 12937
% 0.88/1.27 Kept: 4012
% 0.88/1.27 Inuse: 349
% 0.88/1.27 Deleted: 25
% 0.88/1.27 Deletedinuse: 9
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Bliksems!, er is een bewijs:
% 0.88/1.27 % SZS status Theorem
% 0.88/1.27 % SZS output start Refutation
% 0.88/1.27
% 0.88/1.27 (2) {G0,W8,D3,L2,V1,M2} I { ! rel_str( X ), join_on_relstr( X, empty_set )
% 0.88/1.27 ==> bottom_of_relstr( X ) }.
% 0.88/1.27 (5) {G0,W7,D3,L2,V1,M2} I { ! rel_str( X ), element( bottom_of_relstr( X )
% 0.88/1.27 , the_carrier( X ) ) }.
% 0.88/1.27 (20) {G0,W12,D3,L4,V3,M4} I { ! antisymmetric_relstr( X ), ! rel_str( X ),
% 0.88/1.27 ! element( Y, the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 0.88/1.27 (30) {G0,W12,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ),
% 0.88/1.27 alpha5( X, Y, Z ) }.
% 0.88/1.27 (34) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.88/1.27 (36) {G0,W16,D3,L4,V4,M4} I { ! alpha6( X, Y, Z ), ! element( T,
% 0.88/1.27 the_carrier( X ) ), ! relstr_set_smaller( X, Z, T ), related( X, Y, T )
% 0.88/1.27 }.
% 0.88/1.27 (40) {G0,W12,D3,L3,V3,M3} I { ! alpha3( X, Y, Z ), ! Y = join_on_relstr( X
% 0.88/1.27 , Z ), ! ex_sup_of_relstr_set( X, Z ) }.
% 0.88/1.27 (43) {G0,W11,D2,L5,V1,M5} I { empty_carrier( X ), ! antisymmetric_relstr( X
% 0.88/1.27 ), ! lower_bounded_relstr( X ), ! rel_str( X ), ex_sup_of_relstr_set( X
% 0.88/1.27 , empty_set ) }.
% 0.88/1.27 (45) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol10 ) }.
% 0.88/1.27 (46) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol10 ) }.
% 0.88/1.27 (47) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol10 ) }.
% 0.88/1.27 (48) {G0,W2,D2,L1,V0,M1} I { rel_str( skol10 ) }.
% 0.88/1.27 (49) {G0,W4,D3,L1,V0,M1} I { element( skol11, the_carrier( skol10 ) ) }.
% 0.88/1.27 (50) {G0,W5,D3,L1,V0,M1} I { ! related( skol10, bottom_of_relstr( skol10 )
% 0.88/1.27 , skol11 ) }.
% 0.88/1.27 (52) {G0,W10,D3,L3,V2,M3} I { ! rel_str( X ), ! element( Y, the_carrier( X
% 0.88/1.27 ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 0.88/1.27 (57) {G1,W9,D3,L2,V2,M2} Q(40) { ! alpha3( X, join_on_relstr( X, Y ), Y ),
% 0.88/1.27 ! ex_sup_of_relstr_set( X, Y ) }.
% 0.88/1.27 (60) {G1,W6,D3,L1,V0,M1} R(2,48) { join_on_relstr( skol10, empty_set ) ==>
% 0.88/1.27 bottom_of_relstr( skol10 ) }.
% 0.88/1.27 (67) {G1,W5,D3,L1,V0,M1} R(5,48) { element( bottom_of_relstr( skol10 ),
% 0.88/1.27 the_carrier( skol10 ) ) }.
% 0.88/1.27 (253) {G2,W7,D3,L2,V1,M2} R(67,20);r(46) { ! rel_str( skol10 ), alpha1(
% 0.88/1.27 skol10, bottom_of_relstr( skol10 ), X ) }.
% 0.88/1.27 (1044) {G1,W7,D2,L3,V0,M3} R(43,45);r(46) { ! lower_bounded_relstr( skol10
% 0.88/1.27 ), ! rel_str( skol10 ), ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 (1223) {G1,W4,D2,L1,V0,M1} R(52,49);r(48) { relstr_set_smaller( skol10,
% 0.88/1.27 empty_set, skol11 ) }.
% 0.88/1.27 (1239) {G2,W8,D2,L2,V1,M2} R(1223,36);r(49) { ! alpha6( skol10, X,
% 0.88/1.27 empty_set ), related( skol10, X, skol11 ) }.
% 0.88/1.27 (2047) {G2,W3,D2,L1,V0,M1} S(1044);r(47);r(48) { ex_sup_of_relstr_set(
% 0.88/1.27 skol10, empty_set ) }.
% 0.88/1.27 (2048) {G3,W5,D3,L1,V0,M1} R(2047,57);d(60) { ! alpha3( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 (2832) {G3,W5,D3,L1,V1,M1} S(253);r(48) { alpha1( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), X ) }.
% 0.88/1.27 (4060) {G3,W5,D3,L1,V0,M1} R(1239,50) { ! alpha6( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), empty_set ) }.
% 0.88/1.27 (4081) {G4,W5,D3,L1,V0,M1} R(4060,34) { ! alpha5( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), empty_set ) }.
% 0.88/1.27 (4082) {G5,W5,D3,L1,V0,M1} R(4081,30);r(2832) { alpha3( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 (4083) {G6,W0,D0,L0,V0,M0} S(4082);r(2048) { }.
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 % SZS output end Refutation
% 0.88/1.27 found a proof!
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Unprocessed initial clauses:
% 0.88/1.27
% 0.88/1.27 (4085) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 0.88/1.27 (4086) {G0,W4,D2,L2,V1,M2} { ! empty( X ), finite( X ) }.
% 0.88/1.27 (4087) {G0,W8,D3,L2,V1,M2} { ! rel_str( X ), bottom_of_relstr( X ) =
% 0.88/1.27 join_on_relstr( X, empty_set ) }.
% 0.88/1.27 (4088) {G0,W1,D1,L1,V0,M1} { && }.
% 0.88/1.27 (4089) {G0,W8,D3,L2,V2,M2} { ! rel_str( X ), element( join_on_relstr( X, Y
% 0.88/1.27 ), the_carrier( X ) ) }.
% 0.88/1.27 (4090) {G0,W7,D3,L2,V1,M2} { ! rel_str( X ), element( bottom_of_relstr( X
% 0.88/1.27 ), the_carrier( X ) ) }.
% 0.88/1.27 (4091) {G0,W4,D2,L2,V1,M2} { ! rel_str( X ), one_sorted_str( X ) }.
% 0.88/1.27 (4092) {G0,W1,D1,L1,V0,M1} { && }.
% 0.88/1.27 (4093) {G0,W1,D1,L1,V0,M1} { && }.
% 0.88/1.27 (4094) {G0,W1,D1,L1,V0,M1} { && }.
% 0.88/1.27 (4095) {G0,W2,D2,L1,V0,M1} { rel_str( skol1 ) }.
% 0.88/1.27 (4096) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol2 ) }.
% 0.88/1.27 (4097) {G0,W4,D3,L1,V1,M1} { element( skol3( X ), X ) }.
% 0.88/1.27 (4098) {G0,W7,D3,L3,V1,M3} { empty_carrier( X ), ! one_sorted_str( X ), !
% 0.88/1.27 empty( the_carrier( X ) ) }.
% 0.88/1.27 (4099) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 0.88/1.27 (4100) {G0,W2,D2,L1,V0,M1} { ! empty( skol4 ) }.
% 0.88/1.27 (4101) {G0,W2,D2,L1,V0,M1} { finite( skol4 ) }.
% 0.88/1.27 (4102) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 0.88/1.27 (4103) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 0.88/1.27 (4104) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol7 ) }.
% 0.88/1.27 (4105) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol7 ) }.
% 0.88/1.27 (4106) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 0.88/1.27 (4107) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.88/1.27 (4108) {G0,W12,D3,L4,V3,M4} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 0.88/1.27 , ! element( Y, the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 0.88/1.27 (4109) {G0,W17,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 0.88/1.27 , ! element( Y, the_carrier( X ) ), alpha2( X, Y, Z ), Y = join_on_relstr
% 0.88/1.27 ( X, Z ) }.
% 0.88/1.27 (4110) {G0,W15,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 0.88/1.27 , ! element( Y, the_carrier( X ) ), alpha2( X, Y, Z ),
% 0.88/1.27 ex_sup_of_relstr_set( X, Z ) }.
% 0.88/1.27 (4111) {G0,W12,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! relstr_set_smaller( X
% 0.88/1.27 , Z, Y ), alpha4( X, Y, Z ) }.
% 0.88/1.27 (4112) {G0,W8,D2,L2,V3,M2} { relstr_set_smaller( X, Z, Y ), alpha2( X, Y,
% 0.88/1.27 Z ) }.
% 0.88/1.27 (4113) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.88/1.27 (4114) {G0,W11,D3,L2,V5,M2} { ! alpha4( X, Y, Z ), element( skol8( X, T, U
% 0.88/1.27 ), the_carrier( X ) ) }.
% 0.88/1.27 (4115) {G0,W11,D3,L2,V4,M2} { ! alpha4( X, Y, Z ), relstr_set_smaller( X,
% 0.88/1.27 Z, skol8( X, T, Z ) ) }.
% 0.88/1.27 (4116) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), ! related( X, Y, skol8
% 0.88/1.27 ( X, Y, Z ) ) }.
% 0.88/1.27 (4117) {G0,W16,D3,L4,V4,M4} { ! element( T, the_carrier( X ) ), !
% 0.88/1.27 relstr_set_smaller( X, Z, T ), related( X, Y, T ), alpha4( X, Y, Z ) }.
% 0.88/1.27 (4118) {G0,W12,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), alpha3( X, Y, Z ),
% 0.88/1.27 alpha5( X, Y, Z ) }.
% 0.88/1.27 (4119) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha1( X, Y, Z ) }.
% 0.88/1.27 (4120) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha1( X, Y, Z ) }.
% 0.88/1.27 (4121) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), relstr_set_smaller( X, Z
% 0.88/1.27 , Y ) }.
% 0.88/1.27 (4122) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha6( X, Y, Z ) }.
% 0.88/1.27 (4123) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Z, Y ), ! alpha6( X
% 0.88/1.27 , Y, Z ), alpha5( X, Y, Z ) }.
% 0.88/1.27 (4124) {G0,W16,D3,L4,V4,M4} { ! alpha6( X, Y, Z ), ! element( T,
% 0.88/1.27 the_carrier( X ) ), ! relstr_set_smaller( X, Z, T ), related( X, Y, T )
% 0.88/1.27 }.
% 0.88/1.27 (4125) {G0,W11,D3,L2,V5,M2} { element( skol9( X, T, U ), the_carrier( X )
% 0.88/1.27 ), alpha6( X, Y, Z ) }.
% 0.88/1.27 (4126) {G0,W11,D3,L2,V4,M2} { relstr_set_smaller( X, Z, skol9( X, T, Z ) )
% 0.88/1.27 , alpha6( X, Y, Z ) }.
% 0.88/1.27 (4127) {G0,W11,D3,L2,V3,M2} { ! related( X, Y, skol9( X, Y, Z ) ), alpha6
% 0.88/1.27 ( X, Y, Z ) }.
% 0.88/1.27 (4128) {G0,W12,D3,L3,V3,M3} { ! alpha3( X, Y, Z ), ! Y = join_on_relstr( X
% 0.88/1.27 , Z ), ! ex_sup_of_relstr_set( X, Z ) }.
% 0.88/1.27 (4129) {G0,W9,D3,L2,V3,M2} { Y = join_on_relstr( X, Z ), alpha3( X, Y, Z )
% 0.88/1.27 }.
% 0.88/1.27 (4130) {G0,W7,D2,L2,V3,M2} { ex_sup_of_relstr_set( X, Z ), alpha3( X, Y, Z
% 0.88/1.27 ) }.
% 0.88/1.27 (4131) {G0,W11,D2,L5,V1,M5} { empty_carrier( X ), ! antisymmetric_relstr(
% 0.88/1.27 X ), ! lower_bounded_relstr( X ), ! rel_str( X ), ex_sup_of_relstr_set( X
% 0.88/1.27 , empty_set ) }.
% 0.88/1.27 (4132) {G0,W12,D3,L5,V1,M5} { empty_carrier( X ), ! antisymmetric_relstr(
% 0.88/1.27 X ), ! lower_bounded_relstr( X ), ! rel_str( X ), ex_inf_of_relstr_set( X
% 0.88/1.27 , the_carrier( X ) ) }.
% 0.88/1.27 (4133) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol10 ) }.
% 0.88/1.27 (4134) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol10 ) }.
% 0.88/1.27 (4135) {G0,W2,D2,L1,V0,M1} { lower_bounded_relstr( skol10 ) }.
% 0.88/1.27 (4136) {G0,W2,D2,L1,V0,M1} { rel_str( skol10 ) }.
% 0.88/1.27 (4137) {G0,W4,D3,L1,V0,M1} { element( skol11, the_carrier( skol10 ) ) }.
% 0.88/1.27 (4138) {G0,W5,D3,L1,V0,M1} { ! related( skol10, bottom_of_relstr( skol10 )
% 0.88/1.27 , skol11 ) }.
% 0.88/1.27 (4139) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 0.88/1.27 (4140) {G0,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y, the_carrier( X
% 0.88/1.27 ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 0.88/1.27 (4141) {G0,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y, the_carrier( X
% 0.88/1.27 ) ), relstr_element_smaller( X, empty_set, Y ) }.
% 0.88/1.27 (4142) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 0.88/1.27 (4143) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Total Proof:
% 0.88/1.27
% 0.88/1.27 eqswap: (4145) {G0,W8,D3,L2,V1,M2} { join_on_relstr( X, empty_set ) =
% 0.88/1.27 bottom_of_relstr( X ), ! rel_str( X ) }.
% 0.88/1.27 parent0[1]: (4087) {G0,W8,D3,L2,V1,M2} { ! rel_str( X ), bottom_of_relstr
% 0.88/1.27 ( X ) = join_on_relstr( X, empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (2) {G0,W8,D3,L2,V1,M2} I { ! rel_str( X ), join_on_relstr( X
% 0.88/1.27 , empty_set ) ==> bottom_of_relstr( X ) }.
% 0.88/1.27 parent0: (4145) {G0,W8,D3,L2,V1,M2} { join_on_relstr( X, empty_set ) =
% 0.88/1.27 bottom_of_relstr( X ), ! rel_str( X ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 1
% 0.88/1.27 1 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (5) {G0,W7,D3,L2,V1,M2} I { ! rel_str( X ), element(
% 0.88/1.27 bottom_of_relstr( X ), the_carrier( X ) ) }.
% 0.88/1.27 parent0: (4090) {G0,W7,D3,L2,V1,M2} { ! rel_str( X ), element(
% 0.88/1.27 bottom_of_relstr( X ), the_carrier( X ) ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (20) {G0,W12,D3,L4,V3,M4} I { ! antisymmetric_relstr( X ), !
% 0.88/1.27 rel_str( X ), ! element( Y, the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 0.88/1.27 parent0: (4108) {G0,W12,D3,L4,V3,M4} { ! antisymmetric_relstr( X ), !
% 0.88/1.27 rel_str( X ), ! element( Y, the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 Y := Y
% 0.88/1.27 Z := Z
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 2 ==> 2
% 0.88/1.27 3 ==> 3
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (30) {G0,W12,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), alpha3( X,
% 0.88/1.27 Y, Z ), alpha5( X, Y, Z ) }.
% 0.88/1.27 parent0: (4118) {G0,W12,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), alpha3( X, Y,
% 0.88/1.27 Z ), alpha5( X, Y, Z ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 Y := Y
% 0.88/1.27 Z := Z
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 2 ==> 2
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (34) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), alpha6( X, Y
% 0.88/1.27 , Z ) }.
% 0.88/1.27 parent0: (4122) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha6( X, Y, Z
% 0.88/1.27 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 Y := Y
% 0.88/1.27 Z := Z
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (36) {G0,W16,D3,L4,V4,M4} I { ! alpha6( X, Y, Z ), ! element(
% 0.88/1.27 T, the_carrier( X ) ), ! relstr_set_smaller( X, Z, T ), related( X, Y, T
% 0.88/1.27 ) }.
% 0.88/1.27 parent0: (4124) {G0,W16,D3,L4,V4,M4} { ! alpha6( X, Y, Z ), ! element( T,
% 0.88/1.27 the_carrier( X ) ), ! relstr_set_smaller( X, Z, T ), related( X, Y, T )
% 0.88/1.27 }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 Y := Y
% 0.88/1.27 Z := Z
% 0.88/1.27 T := T
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 2 ==> 2
% 0.88/1.27 3 ==> 3
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (40) {G0,W12,D3,L3,V3,M3} I { ! alpha3( X, Y, Z ), ! Y =
% 0.88/1.27 join_on_relstr( X, Z ), ! ex_sup_of_relstr_set( X, Z ) }.
% 0.88/1.27 parent0: (4128) {G0,W12,D3,L3,V3,M3} { ! alpha3( X, Y, Z ), ! Y =
% 0.88/1.27 join_on_relstr( X, Z ), ! ex_sup_of_relstr_set( X, Z ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 Y := Y
% 0.88/1.27 Z := Z
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 2 ==> 2
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (43) {G0,W11,D2,L5,V1,M5} I { empty_carrier( X ), !
% 0.88/1.27 antisymmetric_relstr( X ), ! lower_bounded_relstr( X ), ! rel_str( X ),
% 0.88/1.27 ex_sup_of_relstr_set( X, empty_set ) }.
% 0.88/1.27 parent0: (4131) {G0,W11,D2,L5,V1,M5} { empty_carrier( X ), !
% 0.88/1.27 antisymmetric_relstr( X ), ! lower_bounded_relstr( X ), ! rel_str( X ),
% 0.88/1.27 ex_sup_of_relstr_set( X, empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 2 ==> 2
% 0.88/1.27 3 ==> 3
% 0.88/1.27 4 ==> 4
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (45) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol10 ) }.
% 0.88/1.27 parent0: (4133) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (46) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol10 )
% 0.88/1.27 }.
% 0.88/1.27 parent0: (4134) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (47) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol10 )
% 0.88/1.27 }.
% 0.88/1.27 parent0: (4135) {G0,W2,D2,L1,V0,M1} { lower_bounded_relstr( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (48) {G0,W2,D2,L1,V0,M1} I { rel_str( skol10 ) }.
% 0.88/1.27 parent0: (4136) {G0,W2,D2,L1,V0,M1} { rel_str( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (49) {G0,W4,D3,L1,V0,M1} I { element( skol11, the_carrier(
% 0.88/1.27 skol10 ) ) }.
% 0.88/1.27 parent0: (4137) {G0,W4,D3,L1,V0,M1} { element( skol11, the_carrier( skol10
% 0.88/1.27 ) ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (50) {G0,W5,D3,L1,V0,M1} I { ! related( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), skol11 ) }.
% 0.88/1.27 parent0: (4138) {G0,W5,D3,L1,V0,M1} { ! related( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), skol11 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (52) {G0,W10,D3,L3,V2,M3} I { ! rel_str( X ), ! element( Y,
% 0.88/1.27 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 0.88/1.27 parent0: (4140) {G0,W10,D3,L3,V2,M3} { ! rel_str( X ), ! element( Y,
% 0.88/1.27 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 Y := Y
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 2 ==> 2
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 eqswap: (4204) {G0,W12,D3,L3,V3,M3} { ! join_on_relstr( Y, Z ) = X, !
% 0.88/1.27 alpha3( Y, X, Z ), ! ex_sup_of_relstr_set( Y, Z ) }.
% 0.88/1.27 parent0[1]: (40) {G0,W12,D3,L3,V3,M3} I { ! alpha3( X, Y, Z ), ! Y =
% 0.88/1.27 join_on_relstr( X, Z ), ! ex_sup_of_relstr_set( X, Z ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := Y
% 0.88/1.27 Y := X
% 0.88/1.27 Z := Z
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 eqrefl: (4205) {G0,W9,D3,L2,V2,M2} { ! alpha3( X, join_on_relstr( X, Y ),
% 0.88/1.27 Y ), ! ex_sup_of_relstr_set( X, Y ) }.
% 0.88/1.27 parent0[0]: (4204) {G0,W12,D3,L3,V3,M3} { ! join_on_relstr( Y, Z ) = X, !
% 0.88/1.27 alpha3( Y, X, Z ), ! ex_sup_of_relstr_set( Y, Z ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := join_on_relstr( X, Y )
% 0.88/1.27 Y := X
% 0.88/1.27 Z := Y
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (57) {G1,W9,D3,L2,V2,M2} Q(40) { ! alpha3( X, join_on_relstr(
% 0.88/1.27 X, Y ), Y ), ! ex_sup_of_relstr_set( X, Y ) }.
% 0.88/1.27 parent0: (4205) {G0,W9,D3,L2,V2,M2} { ! alpha3( X, join_on_relstr( X, Y )
% 0.88/1.27 , Y ), ! ex_sup_of_relstr_set( X, Y ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 Y := Y
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 eqswap: (4206) {G0,W8,D3,L2,V1,M2} { bottom_of_relstr( X ) ==>
% 0.88/1.27 join_on_relstr( X, empty_set ), ! rel_str( X ) }.
% 0.88/1.27 parent0[1]: (2) {G0,W8,D3,L2,V1,M2} I { ! rel_str( X ), join_on_relstr( X,
% 0.88/1.27 empty_set ) ==> bottom_of_relstr( X ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4207) {G1,W6,D3,L1,V0,M1} { bottom_of_relstr( skol10 ) ==>
% 0.88/1.27 join_on_relstr( skol10, empty_set ) }.
% 0.88/1.27 parent0[1]: (4206) {G0,W8,D3,L2,V1,M2} { bottom_of_relstr( X ) ==>
% 0.88/1.27 join_on_relstr( X, empty_set ), ! rel_str( X ) }.
% 0.88/1.27 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { rel_str( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := skol10
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 eqswap: (4208) {G1,W6,D3,L1,V0,M1} { join_on_relstr( skol10, empty_set )
% 0.88/1.27 ==> bottom_of_relstr( skol10 ) }.
% 0.88/1.27 parent0[0]: (4207) {G1,W6,D3,L1,V0,M1} { bottom_of_relstr( skol10 ) ==>
% 0.88/1.27 join_on_relstr( skol10, empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (60) {G1,W6,D3,L1,V0,M1} R(2,48) { join_on_relstr( skol10,
% 0.88/1.27 empty_set ) ==> bottom_of_relstr( skol10 ) }.
% 0.88/1.27 parent0: (4208) {G1,W6,D3,L1,V0,M1} { join_on_relstr( skol10, empty_set )
% 0.88/1.27 ==> bottom_of_relstr( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4209) {G1,W5,D3,L1,V0,M1} { element( bottom_of_relstr( skol10
% 0.88/1.27 ), the_carrier( skol10 ) ) }.
% 0.88/1.27 parent0[0]: (5) {G0,W7,D3,L2,V1,M2} I { ! rel_str( X ), element(
% 0.88/1.27 bottom_of_relstr( X ), the_carrier( X ) ) }.
% 0.88/1.27 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { rel_str( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := skol10
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (67) {G1,W5,D3,L1,V0,M1} R(5,48) { element( bottom_of_relstr(
% 0.88/1.27 skol10 ), the_carrier( skol10 ) ) }.
% 0.88/1.27 parent0: (4209) {G1,W5,D3,L1,V0,M1} { element( bottom_of_relstr( skol10 )
% 0.88/1.27 , the_carrier( skol10 ) ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4210) {G1,W9,D3,L3,V1,M3} { ! antisymmetric_relstr( skol10 )
% 0.88/1.27 , ! rel_str( skol10 ), alpha1( skol10, bottom_of_relstr( skol10 ), X )
% 0.88/1.27 }.
% 0.88/1.27 parent0[2]: (20) {G0,W12,D3,L4,V3,M4} I { ! antisymmetric_relstr( X ), !
% 0.88/1.27 rel_str( X ), ! element( Y, the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 0.88/1.27 parent1[0]: (67) {G1,W5,D3,L1,V0,M1} R(5,48) { element( bottom_of_relstr(
% 0.88/1.27 skol10 ), the_carrier( skol10 ) ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := skol10
% 0.88/1.27 Y := bottom_of_relstr( skol10 )
% 0.88/1.27 Z := X
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4211) {G1,W7,D3,L2,V1,M2} { ! rel_str( skol10 ), alpha1(
% 0.88/1.27 skol10, bottom_of_relstr( skol10 ), X ) }.
% 0.88/1.27 parent0[0]: (4210) {G1,W9,D3,L3,V1,M3} { ! antisymmetric_relstr( skol10 )
% 0.88/1.27 , ! rel_str( skol10 ), alpha1( skol10, bottom_of_relstr( skol10 ), X )
% 0.88/1.27 }.
% 0.88/1.27 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (253) {G2,W7,D3,L2,V1,M2} R(67,20);r(46) { ! rel_str( skol10 )
% 0.88/1.27 , alpha1( skol10, bottom_of_relstr( skol10 ), X ) }.
% 0.88/1.27 parent0: (4211) {G1,W7,D3,L2,V1,M2} { ! rel_str( skol10 ), alpha1( skol10
% 0.88/1.27 , bottom_of_relstr( skol10 ), X ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4212) {G1,W9,D2,L4,V0,M4} { ! antisymmetric_relstr( skol10 )
% 0.88/1.27 , ! lower_bounded_relstr( skol10 ), ! rel_str( skol10 ),
% 0.88/1.27 ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 parent0[0]: (45) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol10 ) }.
% 0.88/1.27 parent1[0]: (43) {G0,W11,D2,L5,V1,M5} I { empty_carrier( X ), !
% 0.88/1.27 antisymmetric_relstr( X ), ! lower_bounded_relstr( X ), ! rel_str( X ),
% 0.88/1.27 ex_sup_of_relstr_set( X, empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 X := skol10
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4213) {G1,W7,D2,L3,V0,M3} { ! lower_bounded_relstr( skol10 )
% 0.88/1.27 , ! rel_str( skol10 ), ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 parent0[0]: (4212) {G1,W9,D2,L4,V0,M4} { ! antisymmetric_relstr( skol10 )
% 0.88/1.27 , ! lower_bounded_relstr( skol10 ), ! rel_str( skol10 ),
% 0.88/1.27 ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (1044) {G1,W7,D2,L3,V0,M3} R(43,45);r(46) { !
% 0.88/1.27 lower_bounded_relstr( skol10 ), ! rel_str( skol10 ), ex_sup_of_relstr_set
% 0.88/1.27 ( skol10, empty_set ) }.
% 0.88/1.27 parent0: (4213) {G1,W7,D2,L3,V0,M3} { ! lower_bounded_relstr( skol10 ), !
% 0.88/1.27 rel_str( skol10 ), ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 2 ==> 2
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4214) {G1,W6,D2,L2,V0,M2} { ! rel_str( skol10 ),
% 0.88/1.27 relstr_set_smaller( skol10, empty_set, skol11 ) }.
% 0.88/1.27 parent0[1]: (52) {G0,W10,D3,L3,V2,M3} I { ! rel_str( X ), ! element( Y,
% 0.88/1.27 the_carrier( X ) ), relstr_set_smaller( X, empty_set, Y ) }.
% 0.88/1.27 parent1[0]: (49) {G0,W4,D3,L1,V0,M1} I { element( skol11, the_carrier(
% 0.88/1.27 skol10 ) ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := skol10
% 0.88/1.27 Y := skol11
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4215) {G1,W4,D2,L1,V0,M1} { relstr_set_smaller( skol10,
% 0.88/1.27 empty_set, skol11 ) }.
% 0.88/1.27 parent0[0]: (4214) {G1,W6,D2,L2,V0,M2} { ! rel_str( skol10 ),
% 0.88/1.27 relstr_set_smaller( skol10, empty_set, skol11 ) }.
% 0.88/1.27 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { rel_str( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (1223) {G1,W4,D2,L1,V0,M1} R(52,49);r(48) { relstr_set_smaller
% 0.88/1.27 ( skol10, empty_set, skol11 ) }.
% 0.88/1.27 parent0: (4215) {G1,W4,D2,L1,V0,M1} { relstr_set_smaller( skol10,
% 0.88/1.27 empty_set, skol11 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4216) {G1,W12,D3,L3,V1,M3} { ! alpha6( skol10, X, empty_set )
% 0.88/1.27 , ! element( skol11, the_carrier( skol10 ) ), related( skol10, X, skol11
% 0.88/1.27 ) }.
% 0.88/1.27 parent0[2]: (36) {G0,W16,D3,L4,V4,M4} I { ! alpha6( X, Y, Z ), ! element( T
% 0.88/1.27 , the_carrier( X ) ), ! relstr_set_smaller( X, Z, T ), related( X, Y, T )
% 0.88/1.27 }.
% 0.88/1.27 parent1[0]: (1223) {G1,W4,D2,L1,V0,M1} R(52,49);r(48) { relstr_set_smaller
% 0.88/1.27 ( skol10, empty_set, skol11 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := skol10
% 0.88/1.27 Y := X
% 0.88/1.27 Z := empty_set
% 0.88/1.27 T := skol11
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4217) {G1,W8,D2,L2,V1,M2} { ! alpha6( skol10, X, empty_set )
% 0.88/1.27 , related( skol10, X, skol11 ) }.
% 0.88/1.27 parent0[1]: (4216) {G1,W12,D3,L3,V1,M3} { ! alpha6( skol10, X, empty_set )
% 0.88/1.27 , ! element( skol11, the_carrier( skol10 ) ), related( skol10, X, skol11
% 0.88/1.27 ) }.
% 0.88/1.27 parent1[0]: (49) {G0,W4,D3,L1,V0,M1} I { element( skol11, the_carrier(
% 0.88/1.27 skol10 ) ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (1239) {G2,W8,D2,L2,V1,M2} R(1223,36);r(49) { ! alpha6( skol10
% 0.88/1.27 , X, empty_set ), related( skol10, X, skol11 ) }.
% 0.88/1.27 parent0: (4217) {G1,W8,D2,L2,V1,M2} { ! alpha6( skol10, X, empty_set ),
% 0.88/1.27 related( skol10, X, skol11 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 1 ==> 1
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4218) {G1,W5,D2,L2,V0,M2} { ! rel_str( skol10 ),
% 0.88/1.27 ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 parent0[0]: (1044) {G1,W7,D2,L3,V0,M3} R(43,45);r(46) { !
% 0.88/1.27 lower_bounded_relstr( skol10 ), ! rel_str( skol10 ), ex_sup_of_relstr_set
% 0.88/1.27 ( skol10, empty_set ) }.
% 0.88/1.27 parent1[0]: (47) {G0,W2,D2,L1,V0,M1} I { lower_bounded_relstr( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4219) {G1,W3,D2,L1,V0,M1} { ex_sup_of_relstr_set( skol10,
% 0.88/1.27 empty_set ) }.
% 0.88/1.27 parent0[0]: (4218) {G1,W5,D2,L2,V0,M2} { ! rel_str( skol10 ),
% 0.88/1.27 ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { rel_str( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (2047) {G2,W3,D2,L1,V0,M1} S(1044);r(47);r(48) {
% 0.88/1.27 ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 parent0: (4219) {G1,W3,D2,L1,V0,M1} { ex_sup_of_relstr_set( skol10,
% 0.88/1.27 empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4221) {G2,W6,D3,L1,V0,M1} { ! alpha3( skol10, join_on_relstr
% 0.88/1.27 ( skol10, empty_set ), empty_set ) }.
% 0.88/1.27 parent0[1]: (57) {G1,W9,D3,L2,V2,M2} Q(40) { ! alpha3( X, join_on_relstr( X
% 0.88/1.27 , Y ), Y ), ! ex_sup_of_relstr_set( X, Y ) }.
% 0.88/1.27 parent1[0]: (2047) {G2,W3,D2,L1,V0,M1} S(1044);r(47);r(48) {
% 0.88/1.27 ex_sup_of_relstr_set( skol10, empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := skol10
% 0.88/1.27 Y := empty_set
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 paramod: (4222) {G2,W5,D3,L1,V0,M1} { ! alpha3( skol10, bottom_of_relstr(
% 0.88/1.27 skol10 ), empty_set ) }.
% 0.88/1.27 parent0[0]: (60) {G1,W6,D3,L1,V0,M1} R(2,48) { join_on_relstr( skol10,
% 0.88/1.27 empty_set ) ==> bottom_of_relstr( skol10 ) }.
% 0.88/1.27 parent1[0; 3]: (4221) {G2,W6,D3,L1,V0,M1} { ! alpha3( skol10,
% 0.88/1.27 join_on_relstr( skol10, empty_set ), empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (2048) {G3,W5,D3,L1,V0,M1} R(2047,57);d(60) { ! alpha3( skol10
% 0.88/1.27 , bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent0: (4222) {G2,W5,D3,L1,V0,M1} { ! alpha3( skol10, bottom_of_relstr(
% 0.88/1.27 skol10 ), empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4223) {G1,W5,D3,L1,V1,M1} { alpha1( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), X ) }.
% 0.88/1.27 parent0[0]: (253) {G2,W7,D3,L2,V1,M2} R(67,20);r(46) { ! rel_str( skol10 )
% 0.88/1.27 , alpha1( skol10, bottom_of_relstr( skol10 ), X ) }.
% 0.88/1.27 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { rel_str( skol10 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (2832) {G3,W5,D3,L1,V1,M1} S(253);r(48) { alpha1( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), X ) }.
% 0.88/1.27 parent0: (4223) {G1,W5,D3,L1,V1,M1} { alpha1( skol10, bottom_of_relstr(
% 0.88/1.27 skol10 ), X ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 X := X
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4224) {G1,W5,D3,L1,V0,M1} { ! alpha6( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent0[0]: (50) {G0,W5,D3,L1,V0,M1} I { ! related( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), skol11 ) }.
% 0.88/1.27 parent1[1]: (1239) {G2,W8,D2,L2,V1,M2} R(1223,36);r(49) { ! alpha6( skol10
% 0.88/1.27 , X, empty_set ), related( skol10, X, skol11 ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 X := bottom_of_relstr( skol10 )
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (4060) {G3,W5,D3,L1,V0,M1} R(1239,50) { ! alpha6( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent0: (4224) {G1,W5,D3,L1,V0,M1} { ! alpha6( skol10, bottom_of_relstr(
% 0.88/1.27 skol10 ), empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4225) {G1,W5,D3,L1,V0,M1} { ! alpha5( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent0[0]: (4060) {G3,W5,D3,L1,V0,M1} R(1239,50) { ! alpha6( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent1[1]: (34) {G0,W8,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), alpha6( X, Y
% 0.88/1.27 , Z ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 X := skol10
% 0.88/1.27 Y := bottom_of_relstr( skol10 )
% 0.88/1.27 Z := empty_set
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (4081) {G4,W5,D3,L1,V0,M1} R(4060,34) { ! alpha5( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent0: (4225) {G1,W5,D3,L1,V0,M1} { ! alpha5( skol10, bottom_of_relstr(
% 0.88/1.27 skol10 ), empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4226) {G1,W10,D3,L2,V0,M2} { ! alpha1( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ), alpha3( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), empty_set ) }.
% 0.88/1.27 parent0[0]: (4081) {G4,W5,D3,L1,V0,M1} R(4060,34) { ! alpha5( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent1[2]: (30) {G0,W12,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), alpha3( X, Y
% 0.88/1.27 , Z ), alpha5( X, Y, Z ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 X := skol10
% 0.88/1.27 Y := bottom_of_relstr( skol10 )
% 0.88/1.27 Z := empty_set
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4227) {G2,W5,D3,L1,V0,M1} { alpha3( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), empty_set ) }.
% 0.88/1.27 parent0[0]: (4226) {G1,W10,D3,L2,V0,M2} { ! alpha1( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), empty_set ), alpha3( skol10, bottom_of_relstr
% 0.88/1.27 ( skol10 ), empty_set ) }.
% 0.88/1.27 parent1[0]: (2832) {G3,W5,D3,L1,V1,M1} S(253);r(48) { alpha1( skol10,
% 0.88/1.27 bottom_of_relstr( skol10 ), X ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 X := empty_set
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (4082) {G5,W5,D3,L1,V0,M1} R(4081,30);r(2832) { alpha3( skol10
% 0.88/1.27 , bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent0: (4227) {G2,W5,D3,L1,V0,M1} { alpha3( skol10, bottom_of_relstr(
% 0.88/1.27 skol10 ), empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 0 ==> 0
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 resolution: (4228) {G4,W0,D0,L0,V0,M0} { }.
% 0.88/1.27 parent0[0]: (2048) {G3,W5,D3,L1,V0,M1} R(2047,57);d(60) { ! alpha3( skol10
% 0.88/1.27 , bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 parent1[0]: (4082) {G5,W5,D3,L1,V0,M1} R(4081,30);r(2832) { alpha3( skol10
% 0.88/1.27 , bottom_of_relstr( skol10 ), empty_set ) }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 substitution1:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 subsumption: (4083) {G6,W0,D0,L0,V0,M0} S(4082);r(2048) { }.
% 0.88/1.27 parent0: (4228) {G4,W0,D0,L0,V0,M0} { }.
% 0.88/1.27 substitution0:
% 0.88/1.27 end
% 0.88/1.27 permutation0:
% 0.88/1.27 end
% 0.88/1.27
% 0.88/1.27 Proof check complete!
% 0.88/1.27
% 0.88/1.27 Memory use:
% 0.88/1.27
% 0.88/1.27 space for terms: 52946
% 0.88/1.27 space for clauses: 180514
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 clauses generated: 13168
% 0.88/1.27 clauses kept: 4084
% 0.88/1.27 clauses selected: 357
% 0.88/1.27 clauses deleted: 26
% 0.88/1.27 clauses inuse deleted: 9
% 0.88/1.27
% 0.88/1.27 subsentry: 21022
% 0.88/1.27 literals s-matched: 15777
% 0.88/1.27 literals matched: 15376
% 0.88/1.27 full subsumption: 1846
% 0.88/1.27
% 0.88/1.27 checksum: 901342290
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Bliksem ended
%------------------------------------------------------------------------------