TSTP Solution File: SEU359+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 07:12:44 EDT 2022
% Result : Theorem 1.77s 2.17s
% Output : Refutation 1.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jun 19 09:36:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.77/2.17 *** allocated 10000 integers for termspace/termends
% 1.77/2.17 *** allocated 10000 integers for clauses
% 1.77/2.17 *** allocated 10000 integers for justifications
% 1.77/2.17 Bliksem 1.12
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Automatic Strategy Selection
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Clauses:
% 1.77/2.17
% 1.77/2.17 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! ex_sup_of_relstr_set
% 1.77/2.17 ( X, Z ), ! Y = join_on_relstr( X, Z ), relstr_set_smaller( X, Z, Y ) }.
% 1.77/2.17 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! ex_sup_of_relstr_set
% 1.77/2.17 ( X, Z ), ! Y = join_on_relstr( X, Z ), alpha1( X, Y, Z ) }.
% 1.77/2.17 { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! ex_sup_of_relstr_set
% 1.77/2.17 ( X, Z ), ! relstr_set_smaller( X, Z, Y ), ! alpha1( X, Y, Z ), Y =
% 1.77/2.17 join_on_relstr( X, Z ) }.
% 1.77/2.17 { ! alpha1( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha3( X, Y, Z, T
% 1.77/2.17 ) }.
% 1.77/2.17 { element( skol1( X, T, U ), the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 { ! alpha3( X, Y, Z, skol1( X, Y, Z ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 { ! alpha3( X, Y, Z, T ), ! relstr_set_smaller( X, Z, T ), related( X, Y, T
% 1.77/2.17 ) }.
% 1.77/2.17 { relstr_set_smaller( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 { ! related( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 { ! rel_str( X ), element( join_on_relstr( X, Y ), the_carrier( X ) ) }.
% 1.77/2.17 { ! rel_str( X ), one_sorted_str( X ) }.
% 1.77/2.17 { && }.
% 1.77/2.17 { && }.
% 1.77/2.17 { && }.
% 1.77/2.17 { rel_str( skol2 ) }.
% 1.77/2.17 { one_sorted_str( skol3 ) }.
% 1.77/2.17 { element( skol4( X ), X ) }.
% 1.77/2.17 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y
% 1.77/2.17 ), element( skol5( X, Z ), the_carrier( X ) ) }.
% 1.77/2.17 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! ex_sup_of_relstr_set( X, Y
% 1.77/2.17 ), alpha2( X, Y, skol5( X, Y ) ) }.
% 1.77/2.17 { ! antisymmetric_relstr( X ), ! rel_str( X ), ! element( Z, the_carrier( X
% 1.77/2.17 ) ), ! alpha2( X, Y, Z ), ex_sup_of_relstr_set( X, Y ) }.
% 1.77/2.17 { ! alpha2( X, Y, Z ), relstr_set_smaller( X, Y, Z ) }.
% 1.77/2.17 { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 1.77/2.17 { ! relstr_set_smaller( X, Y, Z ), ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }
% 1.77/2.17 .
% 1.77/2.17 { ! alpha4( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha5( X, Y, Z, T
% 1.77/2.17 ) }.
% 1.77/2.17 { element( skol6( X, T, U ), the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 { ! alpha5( X, Y, Z, skol6( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 { ! alpha5( X, Y, Z, T ), ! relstr_set_smaller( X, Y, T ), related( X, Z, T
% 1.77/2.17 ) }.
% 1.77/2.17 { relstr_set_smaller( X, Y, T ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 { ! related( X, Z, T ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 { antisymmetric_relstr( skol7 ) }.
% 1.77/2.17 { rel_str( skol7 ) }.
% 1.77/2.17 { element( skol9, the_carrier( skol7 ) ) }.
% 1.77/2.17 { alpha6( skol7, skol9, skol10 ), relstr_set_smaller( skol7, skol10, skol9
% 1.77/2.17 ) }.
% 1.77/2.17 { alpha6( skol7, skol9, skol10 ), ! element( X, the_carrier( skol7 ) ), !
% 1.77/2.17 relstr_set_smaller( skol7, skol10, X ), related( skol7, skol9, X ) }.
% 1.77/2.17 { alpha6( skol7, skol9, skol10 ), ! skol9 = join_on_relstr( skol7, skol10 )
% 1.77/2.17 , ! ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.17 { ! alpha6( X, Y, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17 { ! alpha6( X, Y, Z ), alpha8( X, Y, Z ) }.
% 1.77/2.17 { ! alpha7( X, Y, Z ), ! alpha8( X, Y, Z ), alpha6( X, Y, Z ) }.
% 1.77/2.17 { ! alpha8( X, Y, Z ), ! relstr_set_smaller( X, Z, Y ), alpha9( X, Y, Z ) }
% 1.77/2.17 .
% 1.77/2.17 { relstr_set_smaller( X, Z, Y ), alpha8( X, Y, Z ) }.
% 1.77/2.17 { ! alpha9( X, Y, Z ), alpha8( X, Y, Z ) }.
% 1.77/2.17 { ! alpha9( X, Y, Z ), element( skol8( X, T, U ), the_carrier( X ) ) }.
% 1.77/2.17 { ! alpha9( X, Y, Z ), relstr_set_smaller( X, Z, skol8( X, T, Z ) ) }.
% 1.77/2.17 { ! alpha9( X, Y, Z ), ! related( X, Y, skol8( X, Y, Z ) ) }.
% 1.77/2.17 { ! element( T, the_carrier( X ) ), ! relstr_set_smaller( X, Z, T ),
% 1.77/2.17 related( X, Y, T ), alpha9( X, Y, Z ) }.
% 1.77/2.17 { ! alpha7( X, Y, Z ), Y = join_on_relstr( X, Z ) }.
% 1.77/2.17 { ! alpha7( X, Y, Z ), ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.17 { ! Y = join_on_relstr( X, Z ), ! ex_sup_of_relstr_set( X, Z ), alpha7( X,
% 1.77/2.17 Y, Z ) }.
% 1.77/2.17
% 1.77/2.17 percentage equality = 0.052174, percentage horn = 0.826087
% 1.77/2.17 This is a problem with some equality
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Options Used:
% 1.77/2.17
% 1.77/2.17 useres = 1
% 1.77/2.17 useparamod = 1
% 1.77/2.17 useeqrefl = 1
% 1.77/2.17 useeqfact = 1
% 1.77/2.17 usefactor = 1
% 1.77/2.17 usesimpsplitting = 0
% 1.77/2.17 usesimpdemod = 5
% 1.77/2.17 usesimpres = 3
% 1.77/2.17
% 1.77/2.17 resimpinuse = 1000
% 1.77/2.17 resimpclauses = 20000
% 1.77/2.17 substype = eqrewr
% 1.77/2.17 backwardsubs = 1
% 1.77/2.17 selectoldest = 5
% 1.77/2.17
% 1.77/2.17 litorderings [0] = split
% 1.77/2.17 litorderings [1] = extend the termordering, first sorting on arguments
% 1.77/2.17
% 1.77/2.17 termordering = kbo
% 1.77/2.17
% 1.77/2.17 litapriori = 0
% 1.77/2.17 termapriori = 1
% 1.77/2.17 litaposteriori = 0
% 1.77/2.17 termaposteriori = 0
% 1.77/2.17 demodaposteriori = 0
% 1.77/2.17 ordereqreflfact = 0
% 1.77/2.17
% 1.77/2.17 litselect = negord
% 1.77/2.17
% 1.77/2.17 maxweight = 15
% 1.77/2.17 maxdepth = 30000
% 1.77/2.17 maxlength = 115
% 1.77/2.17 maxnrvars = 195
% 1.77/2.17 excuselevel = 1
% 1.77/2.17 increasemaxweight = 1
% 1.77/2.17
% 1.77/2.17 maxselected = 10000000
% 1.77/2.17 maxnrclauses = 10000000
% 1.77/2.17
% 1.77/2.17 showgenerated = 0
% 1.77/2.17 showkept = 0
% 1.77/2.17 showselected = 0
% 1.77/2.17 showdeleted = 0
% 1.77/2.17 showresimp = 1
% 1.77/2.17 showstatus = 2000
% 1.77/2.17
% 1.77/2.17 prologoutput = 0
% 1.77/2.17 nrgoals = 5000000
% 1.77/2.17 totalproof = 1
% 1.77/2.17
% 1.77/2.17 Symbols occurring in the translation:
% 1.77/2.17
% 1.77/2.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.77/2.17 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.77/2.17 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 1.77/2.17 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.77/2.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.77/2.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.77/2.17 rel_str [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.77/2.17 the_carrier [39, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.77/2.17 element [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.77/2.17 ex_sup_of_relstr_set [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.77/2.17 join_on_relstr [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 1.77/2.17 relstr_set_smaller [43, 3] (w:1, o:53, a:1, s:1, b:0),
% 1.77/2.17 related [45, 3] (w:1, o:54, a:1, s:1, b:0),
% 1.77/2.17 one_sorted_str [46, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.77/2.17 antisymmetric_relstr [47, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.77/2.17 alpha1 [48, 3] (w:1, o:55, a:1, s:1, b:1),
% 1.77/2.17 alpha2 [49, 3] (w:1, o:56, a:1, s:1, b:1),
% 1.77/2.17 alpha3 [50, 4] (w:1, o:65, a:1, s:1, b:1),
% 1.77/2.17 alpha4 [51, 3] (w:1, o:57, a:1, s:1, b:1),
% 1.77/2.17 alpha5 [52, 4] (w:1, o:66, a:1, s:1, b:1),
% 1.77/2.17 alpha6 [53, 3] (w:1, o:58, a:1, s:1, b:1),
% 1.77/2.17 alpha7 [54, 3] (w:1, o:59, a:1, s:1, b:1),
% 1.77/2.17 alpha8 [55, 3] (w:1, o:60, a:1, s:1, b:1),
% 1.77/2.17 alpha9 [56, 3] (w:1, o:61, a:1, s:1, b:1),
% 1.77/2.17 skol1 [57, 3] (w:1, o:62, a:1, s:1, b:1),
% 1.77/2.17 skol2 [58, 0] (w:1, o:11, a:1, s:1, b:1),
% 1.77/2.17 skol3 [59, 0] (w:1, o:12, a:1, s:1, b:1),
% 1.77/2.17 skol4 [60, 1] (w:1, o:21, a:1, s:1, b:1),
% 1.77/2.17 skol5 [61, 2] (w:1, o:52, a:1, s:1, b:1),
% 1.77/2.17 skol6 [62, 3] (w:1, o:63, a:1, s:1, b:1),
% 1.77/2.17 skol7 [63, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.77/2.17 skol8 [64, 3] (w:1, o:64, a:1, s:1, b:1),
% 1.77/2.17 skol9 [65, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.77/2.17 skol10 [66, 0] (w:1, o:10, a:1, s:1, b:1).
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Starting Search:
% 1.77/2.17
% 1.77/2.17 *** allocated 15000 integers for clauses
% 1.77/2.17 *** allocated 22500 integers for clauses
% 1.77/2.17 *** allocated 33750 integers for clauses
% 1.77/2.17 *** allocated 15000 integers for termspace/termends
% 1.77/2.17 *** allocated 50625 integers for clauses
% 1.77/2.17 *** allocated 22500 integers for termspace/termends
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 75937 integers for clauses
% 1.77/2.17 *** allocated 33750 integers for termspace/termends
% 1.77/2.17 *** allocated 113905 integers for clauses
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 32428
% 1.77/2.17 Kept: 2006
% 1.77/2.17 Inuse: 464
% 1.77/2.17 Deleted: 102
% 1.77/2.17 Deletedinuse: 16
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 50625 integers for termspace/termends
% 1.77/2.17 *** allocated 170857 integers for clauses
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 75937 integers for termspace/termends
% 1.77/2.17 *** allocated 256285 integers for clauses
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 89047
% 1.77/2.17 Kept: 4036
% 1.77/2.17 Inuse: 978
% 1.77/2.17 Deleted: 450
% 1.77/2.17 Deletedinuse: 171
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 113905 integers for termspace/termends
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 130036
% 1.77/2.17 Kept: 6048
% 1.77/2.17 Inuse: 1289
% 1.77/2.17 Deleted: 603
% 1.77/2.17 Deletedinuse: 258
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 384427 integers for clauses
% 1.77/2.17
% 1.77/2.17 Bliksems!, er is een bewijs:
% 1.77/2.17 % SZS status Theorem
% 1.77/2.17 % SZS output start Refutation
% 1.77/2.17
% 1.77/2.17 (0) {G0,W18,D3,L5,V3,M5} I { ! rel_str( X ), ! element( Y, the_carrier( X )
% 1.77/2.17 ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr( X, Z ),
% 1.77/2.17 relstr_set_smaller( X, Z, Y ) }.
% 1.77/2.17 (1) {G0,W18,D3,L5,V3,M5} I { ! rel_str( X ), ! element( Y, the_carrier( X )
% 1.77/2.17 ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr( X, Z ), alpha1
% 1.77/2.17 ( X, Y, Z ) }.
% 1.77/2.17 (2) {G0,W22,D3,L6,V3,M6} I { ! rel_str( X ), ! element( Y, the_carrier( X )
% 1.77/2.17 ), ! ex_sup_of_relstr_set( X, Z ), ! relstr_set_smaller( X, Z, Y ), !
% 1.77/2.17 alpha1( X, Y, Z ), Y = join_on_relstr( X, Z ) }.
% 1.77/2.17 (3) {G0,W13,D3,L3,V4,M3} I { ! alpha1( X, Y, Z ), ! element( T, the_carrier
% 1.77/2.17 ( X ) ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 (4) {G0,W11,D3,L2,V5,M2} I { element( skol1( X, T, U ), the_carrier( X ) )
% 1.77/2.17 , alpha1( X, Y, Z ) }.
% 1.77/2.17 (5) {G0,W12,D3,L2,V3,M2} I { ! alpha3( X, Y, Z, skol1( X, Y, Z ) ), alpha1
% 1.77/2.17 ( X, Y, Z ) }.
% 1.77/2.17 (6) {G0,W13,D2,L3,V4,M3} I { ! alpha3( X, Y, Z, T ), ! relstr_set_smaller(
% 1.77/2.17 X, Z, T ), related( X, Y, T ) }.
% 1.77/2.17 (7) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Z, T ), alpha3( X, Y, Z
% 1.77/2.17 , T ) }.
% 1.77/2.17 (8) {G0,W9,D2,L2,V4,M2} I { ! related( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 (9) {G0,W8,D3,L2,V2,M2} I { ! rel_str( X ), element( join_on_relstr( X, Y )
% 1.77/2.17 , the_carrier( X ) ) }.
% 1.77/2.17 (17) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), ! rel_str( X ),
% 1.77/2.17 ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ) }.
% 1.77/2.17 (18) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), relstr_set_smaller( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 (19) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 1.77/2.17 (20) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ), ! alpha4( X
% 1.77/2.17 , Y, Z ), alpha2( X, Y, Z ) }.
% 1.77/2.17 (21) {G0,W13,D3,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! element( T,
% 1.77/2.17 the_carrier( X ) ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 (22) {G0,W11,D3,L2,V5,M2} I { element( skol6( X, T, U ), the_carrier( X ) )
% 1.77/2.17 , alpha4( X, Y, Z ) }.
% 1.77/2.17 (23) {G0,W12,D3,L2,V3,M2} I { ! alpha5( X, Y, Z, skol6( X, Y, Z ) ), alpha4
% 1.77/2.17 ( X, Y, Z ) }.
% 1.77/2.17 (24) {G0,W13,D2,L3,V4,M3} I { ! alpha5( X, Y, Z, T ), ! relstr_set_smaller
% 1.77/2.17 ( X, Y, T ), related( X, Z, T ) }.
% 1.77/2.17 (25) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ), alpha5( X, Y, Z
% 1.77/2.17 , T ) }.
% 1.77/2.17 (26) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 (27) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol7 ) }.
% 1.77/2.17 (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.17 (29) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol7 ) ) }.
% 1.77/2.17 (30) {G0,W8,D2,L2,V0,M2} I { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 (31) {G0,W16,D3,L4,V1,M4} I { alpha6( skol7, skol9, skol10 ), ! element( X
% 1.77/2.17 , the_carrier( skol7 ) ), ! relstr_set_smaller( skol7, skol10, X ),
% 1.77/2.17 related( skol7, skol9, X ) }.
% 1.77/2.17 (32) {G0,W12,D3,L3,V0,M3} I { alpha6( skol7, skol9, skol10 ), !
% 1.77/2.17 join_on_relstr( skol7, skol10 ) ==> skol9, ! ex_sup_of_relstr_set( skol7
% 1.77/2.17 , skol10 ) }.
% 1.77/2.17 (33) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17 (34) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha8( X, Y, Z ) }.
% 1.77/2.17 (35) {G0,W12,D2,L3,V3,M3} I { ! alpha7( X, Y, Z ), ! alpha8( X, Y, Z ),
% 1.77/2.17 alpha6( X, Y, Z ) }.
% 1.77/2.17 (36) {G0,W12,D2,L3,V3,M3} I { ! alpha8( X, Y, Z ), ! relstr_set_smaller( X
% 1.77/2.17 , Z, Y ), alpha9( X, Y, Z ) }.
% 1.77/2.17 (38) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ), alpha8( X, Y, Z ) }.
% 1.77/2.17 (39) {G0,W11,D3,L2,V5,M2} I { ! alpha9( X, Y, Z ), element( skol8( X, T, U
% 1.77/2.17 ), the_carrier( X ) ) }.
% 1.77/2.17 (40) {G0,W11,D3,L2,V4,M2} I { ! alpha9( X, Y, Z ), relstr_set_smaller( X, Z
% 1.77/2.17 , skol8( X, T, Z ) ) }.
% 1.77/2.17 (41) {G0,W11,D3,L2,V3,M2} I { ! alpha9( X, Y, Z ), ! related( X, Y, skol8(
% 1.77/2.17 X, Y, Z ) ) }.
% 1.77/2.17 (42) {G0,W16,D3,L4,V4,M4} I { ! element( T, the_carrier( X ) ), !
% 1.77/2.17 relstr_set_smaller( X, Z, T ), related( X, Y, T ), alpha9( X, Y, Z ) }.
% 1.77/2.17 (43) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), Y = join_on_relstr( X, Z
% 1.77/2.17 ) }.
% 1.77/2.17 (44) {G0,W7,D2,L2,V3,M2} I { ! alpha7( X, Y, Z ), ex_sup_of_relstr_set( X,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (45) {G0,W12,D3,L3,V3,M3} I { ! Y = join_on_relstr( X, Z ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17 (46) {G1,W11,D3,L3,V2,M3} Q(0);r(9) { ! rel_str( X ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.17 , Y ) ) }.
% 1.77/2.17 (48) {G1,W9,D3,L2,V2,M2} Q(45) { ! ex_sup_of_relstr_set( X, Y ), alpha7( X
% 1.77/2.17 , join_on_relstr( X, Y ), Y ) }.
% 1.77/2.17 (69) {G1,W16,D3,L4,V1,M4} R(2,29);r(28) { ! ex_sup_of_relstr_set( skol7, X
% 1.77/2.17 ), ! relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X )
% 1.77/2.17 , join_on_relstr( skol7, X ) ==> skol9 }.
% 1.77/2.17 (90) {G1,W7,D2,L2,V3,M2} R(33,44) { ! alpha6( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.17 (96) {G2,W7,D2,L2,V0,M2} R(30,90) { relstr_set_smaller( skol7, skol10,
% 1.77/2.17 skol9 ), ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.17 (97) {G1,W8,D2,L2,V0,M2} R(30,33) { relstr_set_smaller( skol7, skol10,
% 1.77/2.17 skol9 ), alpha7( skol7, skol9, skol10 ) }.
% 1.77/2.17 (115) {G1,W6,D3,L1,V1,M1} R(9,28) { element( join_on_relstr( skol7, X ),
% 1.77/2.17 the_carrier( skol7 ) ) }.
% 1.77/2.17 (123) {G1,W11,D3,L2,V3,M2} R(8,5) { ! related( X, Y, skol1( X, Y, Z ) ),
% 1.77/2.17 alpha1( X, Y, Z ) }.
% 1.77/2.17 (124) {G1,W11,D3,L2,V3,M2} R(7,5) { relstr_set_smaller( X, Y, skol1( X, Z,
% 1.77/2.17 Y ) ), alpha1( X, Z, Y ) }.
% 1.77/2.17 (131) {G1,W14,D2,L3,V5,M3} R(6,25) { ! alpha3( X, Y, Z, T ), related( X, Y
% 1.77/2.17 , T ), alpha5( X, Z, U, T ) }.
% 1.77/2.17 (137) {G1,W16,D3,L4,V4,M4} R(6,3) { ! relstr_set_smaller( X, Y, Z ),
% 1.77/2.17 related( X, T, Z ), ! alpha1( X, T, Y ), ! element( Z, the_carrier( X ) )
% 1.77/2.17 }.
% 1.77/2.17 (140) {G2,W9,D3,L2,V0,M2} R(43,97) { join_on_relstr( skol7, skol10 ) ==>
% 1.77/2.17 skol9, relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 (141) {G1,W9,D3,L2,V3,M2} R(43,33) { X = join_on_relstr( Y, Z ), ! alpha6(
% 1.77/2.17 Y, X, Z ) }.
% 1.77/2.17 (142) {G1,W17,D3,L5,V3,M5} R(43,1) { ! alpha7( X, Y, Z ), ! rel_str( X ), !
% 1.77/2.17 element( Y, the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), alpha1(
% 1.77/2.17 X, Y, Z ) }.
% 1.77/2.17 (147) {G2,W8,D3,L2,V2,M2} P(43,115) { element( Y, the_carrier( skol7 ) ), !
% 1.77/2.17 alpha7( skol7, Y, X ) }.
% 1.77/2.17 (249) {G1,W9,D2,L3,V1,M3} R(17,29);r(27) { ! rel_str( skol7 ), ! alpha2(
% 1.77/2.17 skol7, X, skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 (278) {G2,W7,D2,L2,V1,M2} S(249);r(28) { ! alpha2( skol7, X, skol9 ),
% 1.77/2.17 ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 (279) {G3,W11,D2,L3,V1,M3} R(278,20) { ex_sup_of_relstr_set( skol7, X ), !
% 1.77/2.17 relstr_set_smaller( skol7, X, skol9 ), ! alpha4( skol7, X, skol9 ) }.
% 1.77/2.17 (365) {G1,W16,D3,L3,V6,M3} R(22,21) { element( skol6( X, Y, Z ),
% 1.77/2.17 the_carrier( X ) ), ! element( T, the_carrier( X ) ), alpha5( X, U, W, T
% 1.77/2.17 ) }.
% 1.77/2.17 (368) {G1,W16,D3,L3,V7,M3} R(22,3) { alpha4( X, Y, Z ), ! alpha1( X, T, U )
% 1.77/2.17 , alpha3( X, T, U, skol6( X, W, V0 ) ) }.
% 1.77/2.17 (413) {G1,W11,D3,L2,V3,M2} R(23,25) { alpha4( X, Y, Z ), relstr_set_smaller
% 1.77/2.17 ( X, Y, skol6( X, Y, Z ) ) }.
% 1.77/2.17 (414) {G1,W11,D3,L2,V3,M2} R(23,26) { alpha4( X, Y, Z ), ! related( X, Z,
% 1.77/2.17 skol6( X, Y, Z ) ) }.
% 1.77/2.17 (421) {G1,W14,D2,L3,V5,M3} R(24,7) { ! alpha5( X, Y, Z, T ), related( X, Z
% 1.77/2.17 , T ), alpha3( X, U, Y, T ) }.
% 1.77/2.17 (550) {G1,W12,D2,L3,V3,M3} R(35,38) { ! alpha7( X, Y, Z ), alpha6( X, Y, Z
% 1.77/2.17 ), ! alpha9( X, Y, Z ) }.
% 1.77/2.17 (669) {G3,W4,D2,L1,V0,M1} R(46,96);d(140);f;r(28) { relstr_set_smaller(
% 1.77/2.17 skol7, skol10, skol9 ) }.
% 1.77/2.17 (672) {G2,W9,D3,L2,V1,M2} R(46,28) { ! ex_sup_of_relstr_set( skol7, X ),
% 1.77/2.17 relstr_set_smaller( skol7, X, join_on_relstr( skol7, X ) ) }.
% 1.77/2.17 (676) {G4,W8,D2,L2,V0,M2} R(669,36) { ! alpha8( skol7, skol9, skol10 ),
% 1.77/2.17 alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.17 (678) {G4,W8,D2,L2,V0,M2} R(669,20) { ! alpha4( skol7, skol10, skol9 ),
% 1.77/2.17 alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.17 (699) {G5,W11,D3,L2,V0,M2} R(676,41) { ! alpha8( skol7, skol9, skol10 ), !
% 1.77/2.17 related( skol7, skol9, skol8( skol7, skol9, skol10 ) ) }.
% 1.77/2.17 (700) {G5,W11,D3,L2,V1,M2} R(676,40) { ! alpha8( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.17 (701) {G5,W11,D3,L2,V2,M2} R(676,39) { ! alpha8( skol7, skol9, skol10 ),
% 1.77/2.17 element( skol8( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.17 (713) {G5,W11,D3,L2,V2,M2} R(678,22) { alpha2( skol7, skol10, skol9 ),
% 1.77/2.17 element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.17 (714) {G5,W7,D2,L2,V0,M2} R(678,278) { ! alpha4( skol7, skol10, skol9 ),
% 1.77/2.17 ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.17 (719) {G6,W11,D3,L2,V0,M2} R(714,23) { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.17 ), ! alpha5( skol7, skol10, skol9, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.17 (723) {G6,W10,D3,L2,V2,M2} R(714,22) { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.17 ), element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.17 (795) {G3,W10,D3,L2,V2,M2} R(672,90) { relstr_set_smaller( skol7, X,
% 1.77/2.17 join_on_relstr( skol7, X ) ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.17 (848) {G4,W12,D2,L3,V3,M3} P(141,795) { relstr_set_smaller( skol7, X, Y ),
% 1.77/2.17 ! alpha6( skol7, Z, X ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.17 (850) {G5,W8,D2,L2,V2,M2} F(848) { relstr_set_smaller( skol7, X, Y ), !
% 1.77/2.17 alpha6( skol7, Y, X ) }.
% 1.77/2.17 (851) {G6,W8,D2,L2,V2,M2} R(850,36);r(34) { ! alpha6( skol7, X, Y ), alpha9
% 1.77/2.17 ( skol7, X, Y ) }.
% 1.77/2.17 (856) {G7,W11,D3,L2,V2,M2} R(851,41) { ! alpha6( skol7, X, Y ), ! related(
% 1.77/2.17 skol7, X, skol8( skol7, X, Y ) ) }.
% 1.77/2.17 (944) {G2,W11,D2,L3,V0,M3} R(69,32);f;r(30) { ! ex_sup_of_relstr_set( skol7
% 1.77/2.17 , skol10 ), ! alpha1( skol7, skol9, skol10 ), alpha6( skol7, skol9,
% 1.77/2.17 skol10 ) }.
% 1.77/2.17 (1168) {G3,W11,D2,L3,V0,M3} R(944,34) { ! ex_sup_of_relstr_set( skol7,
% 1.77/2.17 skol10 ), ! alpha1( skol7, skol9, skol10 ), alpha8( skol7, skol9, skol10
% 1.77/2.17 ) }.
% 1.77/2.17 (1252) {G5,W11,D3,L2,V0,M2} R(413,678) { relstr_set_smaller( skol7, skol10
% 1.77/2.17 , skol6( skol7, skol10, skol9 ) ), alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.17 (1417) {G6,W15,D3,L3,V0,M3} R(1252,31);r(713) { alpha2( skol7, skol10,
% 1.77/2.17 skol9 ), alpha6( skol7, skol9, skol10 ), related( skol7, skol9, skol6(
% 1.77/2.17 skol7, skol10, skol9 ) ) }.
% 1.77/2.17 (1608) {G2,W15,D2,L3,V6,M3} R(131,26) { ! alpha3( X, Y, Z, T ), alpha5( X,
% 1.77/2.17 Z, U, T ), alpha5( X, W, Y, T ) }.
% 1.77/2.17 (1609) {G3,W10,D2,L2,V4,M2} F(1608) { ! alpha3( X, Y, Z, T ), alpha5( X, Z
% 1.77/2.17 , Y, T ) }.
% 1.77/2.17 (1613) {G7,W11,D3,L2,V0,M2} R(1609,719) { ! alpha3( skol7, skol9, skol10,
% 1.77/2.17 skol6( skol7, skol10, skol9 ) ), ex_sup_of_relstr_set( skol7, skol10 )
% 1.77/2.17 }.
% 1.77/2.17 (1623) {G4,W12,D3,L2,V3,M2} R(1609,23) { ! alpha3( X, Y, Z, skol6( X, Z, Y
% 1.77/2.17 ) ), alpha4( X, Z, Y ) }.
% 1.77/2.17 (1678) {G8,W7,D2,L2,V0,M2} R(1613,3);r(723) { ex_sup_of_relstr_set( skol7,
% 1.77/2.17 skol10 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.17 (1683) {G9,W8,D2,L2,V0,M2} R(1678,1168);f { ! alpha1( skol7, skol9, skol10
% 1.77/2.17 ), alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.17 (1715) {G10,W11,D3,L2,V1,M2} R(1683,700) { ! alpha1( skol7, skol9, skol10 )
% 1.77/2.17 , relstr_set_smaller( skol7, skol10, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.17 (1716) {G10,W11,D3,L2,V2,M2} R(1683,701) { ! alpha1( skol7, skol9, skol10 )
% 1.77/2.17 , element( skol8( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.17 (1876) {G3,W15,D2,L4,V3,M4} R(142,147);r(28) { ! alpha7( skol7, X, Y ), !
% 1.77/2.17 ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ), ! alpha7( skol7
% 1.77/2.17 , X, Z ) }.
% 1.77/2.17 (1879) {G4,W11,D2,L3,V2,M3} F(1876) { ! alpha7( skol7, X, Y ), !
% 1.77/2.17 ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ) }.
% 1.77/2.17 (2071) {G5,W12,D2,L3,V3,M3} R(1879,44) { ! alpha7( skol7, X, Y ), alpha1(
% 1.77/2.17 skol7, X, Y ), ! alpha7( skol7, Z, Y ) }.
% 1.77/2.17 (2072) {G6,W8,D2,L2,V2,M2} F(2071) { ! alpha7( skol7, X, Y ), alpha1( skol7
% 1.77/2.17 , X, Y ) }.
% 1.77/2.17 (2080) {G7,W8,D2,L2,V2,M2} R(2072,33) { alpha1( skol7, X, Y ), ! alpha6(
% 1.77/2.17 skol7, X, Y ) }.
% 1.77/2.17 (2683) {G11,W15,D3,L3,V2,M3} R(1715,137);r(1716) { ! alpha1( skol7, skol9,
% 1.77/2.17 skol10 ), related( skol7, X, skol8( skol7, Y, skol10 ) ), ! alpha1( skol7
% 1.77/2.17 , X, skol10 ) }.
% 1.77/2.17 (2688) {G12,W11,D3,L2,V1,M2} F(2683) { ! alpha1( skol7, skol9, skol10 ),
% 1.77/2.17 related( skol7, skol9, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.17 (2691) {G13,W4,D2,L1,V0,M1} R(2688,699);r(1683) { ! alpha1( skol7, skol9,
% 1.77/2.17 skol10 ) }.
% 1.77/2.17 (2703) {G14,W7,D3,L1,V0,M1} R(2691,123) { ! related( skol7, skol9, skol1(
% 1.77/2.17 skol7, skol9, skol10 ) ) }.
% 1.77/2.17 (2704) {G14,W7,D3,L1,V0,M1} R(2691,124) { relstr_set_smaller( skol7, skol10
% 1.77/2.17 , skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.17 (2707) {G14,W8,D3,L1,V0,M1} R(2691,5) { ! alpha3( skol7, skol9, skol10,
% 1.77/2.17 skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.17 (2708) {G14,W7,D3,L1,V2,M1} R(2691,4) { element( skol1( skol7, X, Y ),
% 1.77/2.17 the_carrier( skol7 ) ) }.
% 1.77/2.17 (2712) {G15,W12,D3,L2,V4,M2} R(2708,21) { ! alpha4( skol7, X, Y ), alpha5(
% 1.77/2.17 skol7, X, Y, skol1( skol7, Z, T ) ) }.
% 1.77/2.17 (2755) {G15,W11,D3,L2,V1,M2} R(2704,42);r(2708) { related( skol7, X, skol1
% 1.77/2.17 ( skol7, skol9, skol10 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.17 (3020) {G16,W4,D2,L1,V0,M1} R(2755,2703) { alpha9( skol7, skol9, skol10 )
% 1.77/2.17 }.
% 1.77/2.17 (3028) {G17,W7,D3,L1,V1,M1} R(3020,40) { relstr_set_smaller( skol7, skol10
% 1.77/2.17 , skol8( skol7, X, skol10 ) ) }.
% 1.77/2.17 (3029) {G17,W7,D3,L1,V2,M1} R(3020,39) { element( skol8( skol7, X, Y ),
% 1.77/2.17 the_carrier( skol7 ) ) }.
% 1.77/2.17 (3052) {G18,W11,D3,L2,V2,M2} R(3028,137);r(3029) { related( skol7, X, skol8
% 1.77/2.17 ( skol7, Y, skol10 ) ), ! alpha1( skol7, X, skol10 ) }.
% 1.77/2.17 (3120) {G19,W4,D2,L1,V1,M1} R(3052,856);r(2080) { ! alpha6( skol7, X,
% 1.77/2.17 skol10 ) }.
% 1.77/2.17 (4002) {G5,W12,D2,L3,V5,M3} R(368,1623) { alpha4( X, Y, Z ), ! alpha1( X, T
% 1.77/2.17 , U ), alpha4( X, U, T ) }.
% 1.77/2.17 (4003) {G6,W8,D2,L2,V3,M2} F(4002) { alpha4( X, Y, Z ), ! alpha1( X, Z, Y )
% 1.77/2.17 }.
% 1.77/2.17 (4022) {G7,W11,D2,L3,V1,M3} R(4003,279) { ! alpha1( skol7, skol9, X ),
% 1.77/2.17 ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X, skol9 )
% 1.77/2.17 }.
% 1.77/2.17 (4036) {G8,W13,D3,L3,V1,M3} S(69);r(4022) { ! relstr_set_smaller( skol7, X
% 1.77/2.17 , skol9 ), ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==>
% 1.77/2.17 skol9 }.
% 1.77/2.17 (4214) {G9,W12,D2,L3,V1,M3} R(4022,48);d(4036) { ! alpha1( skol7, skol9, X
% 1.77/2.17 ), ! relstr_set_smaller( skol7, X, skol9 ), alpha7( skol7, skol9, X )
% 1.77/2.17 }.
% 1.77/2.17 (4304) {G10,W12,D2,L3,V1,M3} R(4214,18) { ! alpha1( skol7, skol9, X ),
% 1.77/2.17 alpha7( skol7, skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.17 (4416) {G2,W15,D2,L3,V6,M3} R(421,8) { ! alpha5( X, Y, Z, T ), alpha3( X, U
% 1.77/2.17 , Y, T ), alpha3( X, Z, W, T ) }.
% 1.77/2.17 (4418) {G3,W10,D2,L2,V4,M2} F(4416) { ! alpha5( X, Y, Z, T ), alpha3( X, Z
% 1.77/2.17 , Y, T ) }.
% 1.77/2.17 (4426) {G16,W12,D3,L2,V4,M2} R(4418,2712) { alpha3( skol7, X, Y, skol1(
% 1.77/2.17 skol7, Z, T ) ), ! alpha4( skol7, Y, X ) }.
% 1.77/2.17 (4437) {G15,W8,D3,L1,V0,M1} R(4418,2707) { ! alpha5( skol7, skol10, skol9,
% 1.77/2.17 skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.17 (4454) {G16,W7,D3,L1,V2,M1} R(4437,365);r(2708) { element( skol6( skol7, X
% 1.77/2.17 , Y ), the_carrier( skol7 ) ) }.
% 1.77/2.17 (4455) {G16,W4,D2,L1,V0,M1} R(4437,2712) { ! alpha4( skol7, skol10, skol9 )
% 1.77/2.17 }.
% 1.77/2.17 (4463) {G17,W7,D3,L1,V0,M1} R(4455,414) { ! related( skol7, skol9, skol6(
% 1.77/2.17 skol7, skol10, skol9 ) ) }.
% 1.77/2.17 (4464) {G17,W7,D3,L1,V0,M1} R(4455,413) { relstr_set_smaller( skol7, skol10
% 1.77/2.17 , skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.17 (4529) {G18,W11,D3,L2,V1,M2} R(4464,42);r(4454) { related( skol7, X, skol6
% 1.77/2.17 ( skol7, skol10, skol9 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.17 (4986) {G17,W8,D2,L2,V2,M2} R(4426,5) { ! alpha4( skol7, X, Y ), alpha1(
% 1.77/2.17 skol7, Y, X ) }.
% 1.77/2.17 (4989) {G18,W8,D2,L2,V1,M2} R(4986,4304);r(19) { alpha7( skol7, skol9, X )
% 1.77/2.17 , ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.17 (5005) {G19,W12,D2,L3,V1,M3} R(4989,550) { ! alpha2( skol7, X, skol9 ),
% 1.77/2.17 alpha6( skol7, skol9, X ), ! alpha9( skol7, skol9, X ) }.
% 1.77/2.17 (6268) {G20,W11,D3,L2,V0,M2} R(5005,4529);r(1417) { alpha6( skol7, skol9,
% 1.77/2.17 skol10 ), related( skol7, skol9, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.17 (6269) {G21,W0,D0,L0,V0,M0} S(6268);r(3120);r(4463) { }.
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 % SZS output end Refutation
% 1.77/2.17 found a proof!
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Unprocessed initial clauses:
% 1.77/2.17
% 1.77/2.17 (6271) {G0,W18,D3,L5,V3,M5} { ! rel_str( X ), ! element( Y, the_carrier( X
% 1.77/2.17 ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr( X, Z ),
% 1.77/2.17 relstr_set_smaller( X, Z, Y ) }.
% 1.77/2.17 (6272) {G0,W18,D3,L5,V3,M5} { ! rel_str( X ), ! element( Y, the_carrier( X
% 1.77/2.17 ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr( X, Z ),
% 1.77/2.17 alpha1( X, Y, Z ) }.
% 1.77/2.17 (6273) {G0,W22,D3,L6,V3,M6} { ! rel_str( X ), ! element( Y, the_carrier( X
% 1.77/2.17 ) ), ! ex_sup_of_relstr_set( X, Z ), ! relstr_set_smaller( X, Z, Y ), !
% 1.77/2.17 alpha1( X, Y, Z ), Y = join_on_relstr( X, Z ) }.
% 1.77/2.17 (6274) {G0,W13,D3,L3,V4,M3} { ! alpha1( X, Y, Z ), ! element( T,
% 1.77/2.17 the_carrier( X ) ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 (6275) {G0,W11,D3,L2,V5,M2} { element( skol1( X, T, U ), the_carrier( X )
% 1.77/2.17 ), alpha1( X, Y, Z ) }.
% 1.77/2.17 (6276) {G0,W12,D3,L2,V3,M2} { ! alpha3( X, Y, Z, skol1( X, Y, Z ) ),
% 1.77/2.17 alpha1( X, Y, Z ) }.
% 1.77/2.17 (6277) {G0,W13,D2,L3,V4,M3} { ! alpha3( X, Y, Z, T ), ! relstr_set_smaller
% 1.77/2.17 ( X, Z, T ), related( X, Y, T ) }.
% 1.77/2.17 (6278) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Z, T ), alpha3( X, Y,
% 1.77/2.17 Z, T ) }.
% 1.77/2.17 (6279) {G0,W9,D2,L2,V4,M2} { ! related( X, Y, T ), alpha3( X, Y, Z, T )
% 1.77/2.17 }.
% 1.77/2.17 (6280) {G0,W8,D3,L2,V2,M2} { ! rel_str( X ), element( join_on_relstr( X, Y
% 1.77/2.17 ), the_carrier( X ) ) }.
% 1.77/2.17 (6281) {G0,W4,D2,L2,V1,M2} { ! rel_str( X ), one_sorted_str( X ) }.
% 1.77/2.17 (6282) {G0,W1,D1,L1,V0,M1} { && }.
% 1.77/2.17 (6283) {G0,W1,D1,L1,V0,M1} { && }.
% 1.77/2.17 (6284) {G0,W1,D1,L1,V0,M1} { && }.
% 1.77/2.17 (6285) {G0,W2,D2,L1,V0,M1} { rel_str( skol2 ) }.
% 1.77/2.17 (6286) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol3 ) }.
% 1.77/2.17 (6287) {G0,W4,D3,L1,V1,M1} { element( skol4( X ), X ) }.
% 1.77/2.17 (6288) {G0,W13,D3,L4,V3,M4} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 1.77/2.17 , ! ex_sup_of_relstr_set( X, Y ), element( skol5( X, Z ), the_carrier( X
% 1.77/2.17 ) ) }.
% 1.77/2.17 (6289) {G0,W13,D3,L4,V2,M4} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 1.77/2.17 , ! ex_sup_of_relstr_set( X, Y ), alpha2( X, Y, skol5( X, Y ) ) }.
% 1.77/2.17 (6290) {G0,W15,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), ! rel_str( X )
% 1.77/2.17 , ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ) }.
% 1.77/2.17 (6291) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), relstr_set_smaller( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 (6292) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha4( X, Y, Z ) }.
% 1.77/2.17 (6293) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), ! alpha4( X
% 1.77/2.17 , Y, Z ), alpha2( X, Y, Z ) }.
% 1.77/2.17 (6294) {G0,W13,D3,L3,V4,M3} { ! alpha4( X, Y, Z ), ! element( T,
% 1.77/2.17 the_carrier( X ) ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 (6295) {G0,W11,D3,L2,V5,M2} { element( skol6( X, T, U ), the_carrier( X )
% 1.77/2.17 ), alpha4( X, Y, Z ) }.
% 1.77/2.17 (6296) {G0,W12,D3,L2,V3,M2} { ! alpha5( X, Y, Z, skol6( X, Y, Z ) ),
% 1.77/2.17 alpha4( X, Y, Z ) }.
% 1.77/2.17 (6297) {G0,W13,D2,L3,V4,M3} { ! alpha5( X, Y, Z, T ), ! relstr_set_smaller
% 1.77/2.17 ( X, Y, T ), related( X, Z, T ) }.
% 1.77/2.17 (6298) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ), alpha5( X, Y,
% 1.77/2.17 Z, T ) }.
% 1.77/2.17 (6299) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha5( X, Y, Z, T )
% 1.77/2.17 }.
% 1.77/2.17 (6300) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol7 ) }.
% 1.77/2.17 (6301) {G0,W2,D2,L1,V0,M1} { rel_str( skol7 ) }.
% 1.77/2.17 (6302) {G0,W4,D3,L1,V0,M1} { element( skol9, the_carrier( skol7 ) ) }.
% 1.77/2.17 (6303) {G0,W8,D2,L2,V0,M2} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 (6304) {G0,W16,D3,L4,V1,M4} { alpha6( skol7, skol9, skol10 ), ! element( X
% 1.77/2.17 , the_carrier( skol7 ) ), ! relstr_set_smaller( skol7, skol10, X ),
% 1.77/2.17 related( skol7, skol9, X ) }.
% 1.77/2.17 (6305) {G0,W12,D3,L3,V0,M3} { alpha6( skol7, skol9, skol10 ), ! skol9 =
% 1.77/2.17 join_on_relstr( skol7, skol10 ), ! ex_sup_of_relstr_set( skol7, skol10 )
% 1.77/2.17 }.
% 1.77/2.17 (6306) {G0,W8,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17 (6307) {G0,W8,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), alpha8( X, Y, Z ) }.
% 1.77/2.17 (6308) {G0,W12,D2,L3,V3,M3} { ! alpha7( X, Y, Z ), ! alpha8( X, Y, Z ),
% 1.77/2.17 alpha6( X, Y, Z ) }.
% 1.77/2.17 (6309) {G0,W12,D2,L3,V3,M3} { ! alpha8( X, Y, Z ), ! relstr_set_smaller( X
% 1.77/2.17 , Z, Y ), alpha9( X, Y, Z ) }.
% 1.77/2.17 (6310) {G0,W8,D2,L2,V3,M2} { relstr_set_smaller( X, Z, Y ), alpha8( X, Y,
% 1.77/2.17 Z ) }.
% 1.77/2.17 (6311) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha8( X, Y, Z ) }.
% 1.77/2.17 (6312) {G0,W11,D3,L2,V5,M2} { ! alpha9( X, Y, Z ), element( skol8( X, T, U
% 1.77/2.17 ), the_carrier( X ) ) }.
% 1.77/2.17 (6313) {G0,W11,D3,L2,V4,M2} { ! alpha9( X, Y, Z ), relstr_set_smaller( X,
% 1.77/2.17 Z, skol8( X, T, Z ) ) }.
% 1.77/2.17 (6314) {G0,W11,D3,L2,V3,M2} { ! alpha9( X, Y, Z ), ! related( X, Y, skol8
% 1.77/2.17 ( X, Y, Z ) ) }.
% 1.77/2.17 (6315) {G0,W16,D3,L4,V4,M4} { ! element( T, the_carrier( X ) ), !
% 1.77/2.17 relstr_set_smaller( X, Z, T ), related( X, Y, T ), alpha9( X, Y, Z ) }.
% 1.77/2.17 (6316) {G0,W9,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), Y = join_on_relstr( X, Z
% 1.77/2.17 ) }.
% 1.77/2.17 (6317) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), ex_sup_of_relstr_set( X
% 1.77/2.17 , Z ) }.
% 1.77/2.17 (6318) {G0,W12,D3,L3,V3,M3} { ! Y = join_on_relstr( X, Z ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Total Proof:
% 1.77/2.17
% 1.77/2.17 subsumption: (0) {G0,W18,D3,L5,V3,M5} I { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr
% 1.77/2.17 ( X, Z ), relstr_set_smaller( X, Z, Y ) }.
% 1.77/2.17 parent0: (6271) {G0,W18,D3,L5,V3,M5} { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr
% 1.77/2.17 ( X, Z ), relstr_set_smaller( X, Z, Y ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 3 ==> 3
% 1.77/2.17 4 ==> 4
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (1) {G0,W18,D3,L5,V3,M5} I { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr
% 1.77/2.17 ( X, Z ), alpha1( X, Y, Z ) }.
% 1.77/2.17 parent0: (6272) {G0,W18,D3,L5,V3,M5} { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr
% 1.77/2.17 ( X, Z ), alpha1( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 3 ==> 3
% 1.77/2.17 4 ==> 4
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (2) {G0,W22,D3,L6,V3,M6} I { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! relstr_set_smaller
% 1.77/2.17 ( X, Z, Y ), ! alpha1( X, Y, Z ), Y = join_on_relstr( X, Z ) }.
% 1.77/2.17 parent0: (6273) {G0,W22,D3,L6,V3,M6} { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! relstr_set_smaller
% 1.77/2.17 ( X, Z, Y ), ! alpha1( X, Y, Z ), Y = join_on_relstr( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 3 ==> 3
% 1.77/2.17 4 ==> 4
% 1.77/2.17 5 ==> 5
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (3) {G0,W13,D3,L3,V4,M3} I { ! alpha1( X, Y, Z ), ! element( T
% 1.77/2.17 , the_carrier( X ) ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 parent0: (6274) {G0,W13,D3,L3,V4,M3} { ! alpha1( X, Y, Z ), ! element( T,
% 1.77/2.17 the_carrier( X ) ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (4) {G0,W11,D3,L2,V5,M2} I { element( skol1( X, T, U ),
% 1.77/2.17 the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 parent0: (6275) {G0,W11,D3,L2,V5,M2} { element( skol1( X, T, U ),
% 1.77/2.17 the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 U := U
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (5) {G0,W12,D3,L2,V3,M2} I { ! alpha3( X, Y, Z, skol1( X, Y, Z
% 1.77/2.17 ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 parent0: (6276) {G0,W12,D3,L2,V3,M2} { ! alpha3( X, Y, Z, skol1( X, Y, Z )
% 1.77/2.17 ), alpha1( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (6) {G0,W13,D2,L3,V4,M3} I { ! alpha3( X, Y, Z, T ), !
% 1.77/2.17 relstr_set_smaller( X, Z, T ), related( X, Y, T ) }.
% 1.77/2.17 parent0: (6277) {G0,W13,D2,L3,V4,M3} { ! alpha3( X, Y, Z, T ), !
% 1.77/2.17 relstr_set_smaller( X, Z, T ), related( X, Y, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (7) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Z, T ),
% 1.77/2.17 alpha3( X, Y, Z, T ) }.
% 1.77/2.17 parent0: (6278) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Z, T ),
% 1.77/2.17 alpha3( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (8) {G0,W9,D2,L2,V4,M2} I { ! related( X, Y, T ), alpha3( X, Y
% 1.77/2.17 , Z, T ) }.
% 1.77/2.17 parent0: (6279) {G0,W9,D2,L2,V4,M2} { ! related( X, Y, T ), alpha3( X, Y,
% 1.77/2.17 Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (9) {G0,W8,D3,L2,V2,M2} I { ! rel_str( X ), element(
% 1.77/2.17 join_on_relstr( X, Y ), the_carrier( X ) ) }.
% 1.77/2.17 parent0: (6280) {G0,W8,D3,L2,V2,M2} { ! rel_str( X ), element(
% 1.77/2.17 join_on_relstr( X, Y ), the_carrier( X ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (17) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), !
% 1.77/2.17 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ) }.
% 1.77/2.17 parent0: (6290) {G0,W15,D3,L5,V3,M5} { ! antisymmetric_relstr( X ), !
% 1.77/2.17 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 3 ==> 3
% 1.77/2.17 4 ==> 4
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (18) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Y, Z ) }.
% 1.77/2.17 parent0: (6291) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (19) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha4( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 parent0: (6292) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha4( X, Y, Z
% 1.77/2.17 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (20) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z )
% 1.77/2.17 , ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 1.77/2.17 parent0: (6293) {G0,W12,D2,L3,V3,M3} { ! relstr_set_smaller( X, Y, Z ), !
% 1.77/2.17 alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (21) {G0,W13,D3,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! element(
% 1.77/2.17 T, the_carrier( X ) ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 parent0: (6294) {G0,W13,D3,L3,V4,M3} { ! alpha4( X, Y, Z ), ! element( T,
% 1.77/2.17 the_carrier( X ) ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (22) {G0,W11,D3,L2,V5,M2} I { element( skol6( X, T, U ),
% 1.77/2.17 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 parent0: (6295) {G0,W11,D3,L2,V5,M2} { element( skol6( X, T, U ),
% 1.77/2.17 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 U := U
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (23) {G0,W12,D3,L2,V3,M2} I { ! alpha5( X, Y, Z, skol6( X, Y,
% 1.77/2.17 Z ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 parent0: (6296) {G0,W12,D3,L2,V3,M2} { ! alpha5( X, Y, Z, skol6( X, Y, Z )
% 1.77/2.17 ), alpha4( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (24) {G0,W13,D2,L3,V4,M3} I { ! alpha5( X, Y, Z, T ), !
% 1.77/2.17 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 1.77/2.17 parent0: (6297) {G0,W13,D2,L3,V4,M3} { ! alpha5( X, Y, Z, T ), !
% 1.77/2.17 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (25) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ),
% 1.77/2.17 alpha5( X, Y, Z, T ) }.
% 1.77/2.17 parent0: (6298) {G0,W9,D2,L2,V4,M2} { relstr_set_smaller( X, Y, T ),
% 1.77/2.17 alpha5( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (26) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha5( X,
% 1.77/2.17 Y, Z, T ) }.
% 1.77/2.17 parent0: (6299) {G0,W9,D2,L2,V4,M2} { ! related( X, Z, T ), alpha5( X, Y,
% 1.77/2.17 Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (27) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol7 ) }.
% 1.77/2.17 parent0: (6300) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol7 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.17 parent0: (6301) {G0,W2,D2,L1,V0,M1} { rel_str( skol7 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (29) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier(
% 1.77/2.17 skol7 ) ) }.
% 1.77/2.17 parent0: (6302) {G0,W4,D3,L1,V0,M1} { element( skol9, the_carrier( skol7 )
% 1.77/2.17 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (30) {G0,W8,D2,L2,V0,M2} I { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 parent0: (6303) {G0,W8,D2,L2,V0,M2} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (31) {G0,W16,D3,L4,V1,M4} I { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 ! element( X, the_carrier( skol7 ) ), ! relstr_set_smaller( skol7, skol10
% 1.77/2.17 , X ), related( skol7, skol9, X ) }.
% 1.77/2.17 parent0: (6304) {G0,W16,D3,L4,V1,M4} { alpha6( skol7, skol9, skol10 ), !
% 1.77/2.17 element( X, the_carrier( skol7 ) ), ! relstr_set_smaller( skol7, skol10,
% 1.77/2.17 X ), related( skol7, skol9, X ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 3 ==> 3
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6394) {G0,W12,D3,L3,V0,M3} { ! join_on_relstr( skol7, skol10 ) =
% 1.77/2.17 skol9, alpha6( skol7, skol9, skol10 ), ! ex_sup_of_relstr_set( skol7,
% 1.77/2.17 skol10 ) }.
% 1.77/2.17 parent0[1]: (6305) {G0,W12,D3,L3,V0,M3} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 ! skol9 = join_on_relstr( skol7, skol10 ), ! ex_sup_of_relstr_set( skol7
% 1.77/2.17 , skol10 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (32) {G0,W12,D3,L3,V0,M3} I { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 ! join_on_relstr( skol7, skol10 ) ==> skol9, ! ex_sup_of_relstr_set(
% 1.77/2.17 skol7, skol10 ) }.
% 1.77/2.17 parent0: (6394) {G0,W12,D3,L3,V0,M3} { ! join_on_relstr( skol7, skol10 ) =
% 1.77/2.17 skol9, alpha6( skol7, skol9, skol10 ), ! ex_sup_of_relstr_set( skol7,
% 1.77/2.17 skol10 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 0
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (33) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha7( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 parent0: (6306) {G0,W8,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), alpha7( X, Y, Z
% 1.77/2.17 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (34) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha8( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 parent0: (6307) {G0,W8,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), alpha8( X, Y, Z
% 1.77/2.17 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (35) {G0,W12,D2,L3,V3,M3} I { ! alpha7( X, Y, Z ), ! alpha8( X
% 1.77/2.17 , Y, Z ), alpha6( X, Y, Z ) }.
% 1.77/2.17 parent0: (6308) {G0,W12,D2,L3,V3,M3} { ! alpha7( X, Y, Z ), ! alpha8( X, Y
% 1.77/2.17 , Z ), alpha6( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (36) {G0,W12,D2,L3,V3,M3} I { ! alpha8( X, Y, Z ), !
% 1.77/2.17 relstr_set_smaller( X, Z, Y ), alpha9( X, Y, Z ) }.
% 1.77/2.17 parent0: (6309) {G0,W12,D2,L3,V3,M3} { ! alpha8( X, Y, Z ), !
% 1.77/2.17 relstr_set_smaller( X, Z, Y ), alpha9( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (38) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ), alpha8( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 parent0: (6311) {G0,W8,D2,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha8( X, Y, Z
% 1.77/2.17 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (39) {G0,W11,D3,L2,V5,M2} I { ! alpha9( X, Y, Z ), element(
% 1.77/2.17 skol8( X, T, U ), the_carrier( X ) ) }.
% 1.77/2.17 parent0: (6312) {G0,W11,D3,L2,V5,M2} { ! alpha9( X, Y, Z ), element( skol8
% 1.77/2.17 ( X, T, U ), the_carrier( X ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 U := U
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (40) {G0,W11,D3,L2,V4,M2} I { ! alpha9( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Z, skol8( X, T, Z ) ) }.
% 1.77/2.17 parent0: (6313) {G0,W11,D3,L2,V4,M2} { ! alpha9( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Z, skol8( X, T, Z ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (41) {G0,W11,D3,L2,V3,M2} I { ! alpha9( X, Y, Z ), ! related(
% 1.77/2.17 X, Y, skol8( X, Y, Z ) ) }.
% 1.77/2.17 parent0: (6314) {G0,W11,D3,L2,V3,M2} { ! alpha9( X, Y, Z ), ! related( X,
% 1.77/2.17 Y, skol8( X, Y, Z ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (42) {G0,W16,D3,L4,V4,M4} I { ! element( T, the_carrier( X ) )
% 1.77/2.17 , ! relstr_set_smaller( X, Z, T ), related( X, Y, T ), alpha9( X, Y, Z )
% 1.77/2.17 }.
% 1.77/2.17 parent0: (6315) {G0,W16,D3,L4,V4,M4} { ! element( T, the_carrier( X ) ), !
% 1.77/2.17 relstr_set_smaller( X, Z, T ), related( X, Y, T ), alpha9( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 3 ==> 3
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (43) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), Y =
% 1.77/2.17 join_on_relstr( X, Z ) }.
% 1.77/2.17 parent0: (6316) {G0,W9,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), Y =
% 1.77/2.17 join_on_relstr( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (44) {G0,W7,D2,L2,V3,M2} I { ! alpha7( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.17 parent0: (6317) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (45) {G0,W12,D3,L3,V3,M3} I { ! Y = join_on_relstr( X, Z ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17 parent0: (6318) {G0,W12,D3,L3,V3,M3} { ! Y = join_on_relstr( X, Z ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6447) {G0,W18,D3,L5,V3,M5} { ! join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 rel_str( Y ), ! element( X, the_carrier( Y ) ), ! ex_sup_of_relstr_set( Y
% 1.77/2.17 , Z ), relstr_set_smaller( Y, Z, X ) }.
% 1.77/2.17 parent0[3]: (0) {G0,W18,D3,L5,V3,M5} I { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr
% 1.77/2.17 ( X, Z ), relstr_set_smaller( X, Z, Y ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqrefl: (6448) {G0,W17,D3,L4,V2,M4} { ! rel_str( X ), ! element(
% 1.77/2.17 join_on_relstr( X, Y ), the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Y
% 1.77/2.17 ), relstr_set_smaller( X, Y, join_on_relstr( X, Y ) ) }.
% 1.77/2.17 parent0[0]: (6447) {G0,W18,D3,L5,V3,M5} { ! join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 rel_str( Y ), ! element( X, the_carrier( Y ) ), ! ex_sup_of_relstr_set( Y
% 1.77/2.17 , Z ), relstr_set_smaller( Y, Z, X ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := join_on_relstr( X, Y )
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6449) {G1,W13,D3,L4,V2,M4} { ! rel_str( X ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.17 , Y ) ), ! rel_str( X ) }.
% 1.77/2.17 parent0[1]: (6448) {G0,W17,D3,L4,V2,M4} { ! rel_str( X ), ! element(
% 1.77/2.17 join_on_relstr( X, Y ), the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Y
% 1.77/2.17 ), relstr_set_smaller( X, Y, join_on_relstr( X, Y ) ) }.
% 1.77/2.17 parent1[1]: (9) {G0,W8,D3,L2,V2,M2} I { ! rel_str( X ), element(
% 1.77/2.17 join_on_relstr( X, Y ), the_carrier( X ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 factor: (6450) {G1,W11,D3,L3,V2,M3} { ! rel_str( X ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.17 , Y ) ) }.
% 1.77/2.17 parent0[0, 3]: (6449) {G1,W13,D3,L4,V2,M4} { ! rel_str( X ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.17 , Y ) ), ! rel_str( X ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (46) {G1,W11,D3,L3,V2,M3} Q(0);r(9) { ! rel_str( X ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.17 , Y ) ) }.
% 1.77/2.17 parent0: (6450) {G1,W11,D3,L3,V2,M3} { ! rel_str( X ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.17 , Y ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6451) {G0,W12,D3,L3,V3,M3} { ! join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 ex_sup_of_relstr_set( Y, Z ), alpha7( Y, X, Z ) }.
% 1.77/2.17 parent0[0]: (45) {G0,W12,D3,L3,V3,M3} I { ! Y = join_on_relstr( X, Z ), !
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ), alpha7( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqrefl: (6452) {G0,W9,D3,L2,V2,M2} { ! ex_sup_of_relstr_set( X, Y ),
% 1.77/2.17 alpha7( X, join_on_relstr( X, Y ), Y ) }.
% 1.77/2.17 parent0[0]: (6451) {G0,W12,D3,L3,V3,M3} { ! join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 ex_sup_of_relstr_set( Y, Z ), alpha7( Y, X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := join_on_relstr( X, Y )
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (48) {G1,W9,D3,L2,V2,M2} Q(45) { ! ex_sup_of_relstr_set( X, Y
% 1.77/2.17 ), alpha7( X, join_on_relstr( X, Y ), Y ) }.
% 1.77/2.17 parent0: (6452) {G0,W9,D3,L2,V2,M2} { ! ex_sup_of_relstr_set( X, Y ),
% 1.77/2.17 alpha7( X, join_on_relstr( X, Y ), Y ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6453) {G0,W22,D3,L6,V3,M6} { join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 rel_str( Y ), ! element( X, the_carrier( Y ) ), ! ex_sup_of_relstr_set( Y
% 1.77/2.17 , Z ), ! relstr_set_smaller( Y, Z, X ), ! alpha1( Y, X, Z ) }.
% 1.77/2.17 parent0[5]: (2) {G0,W22,D3,L6,V3,M6} I { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! relstr_set_smaller
% 1.77/2.17 ( X, Z, Y ), ! alpha1( X, Y, Z ), Y = join_on_relstr( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6454) {G1,W18,D3,L5,V1,M5} { join_on_relstr( skol7, X ) =
% 1.77/2.17 skol9, ! rel_str( skol7 ), ! ex_sup_of_relstr_set( skol7, X ), !
% 1.77/2.17 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.17 parent0[2]: (6453) {G0,W22,D3,L6,V3,M6} { join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 rel_str( Y ), ! element( X, the_carrier( Y ) ), ! ex_sup_of_relstr_set( Y
% 1.77/2.17 , Z ), ! relstr_set_smaller( Y, Z, X ), ! alpha1( Y, X, Z ) }.
% 1.77/2.17 parent1[0]: (29) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol7
% 1.77/2.17 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := skol9
% 1.77/2.17 Y := skol7
% 1.77/2.17 Z := X
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6455) {G1,W16,D3,L4,V1,M4} { join_on_relstr( skol7, X ) =
% 1.77/2.17 skol9, ! ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X
% 1.77/2.17 , skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.17 parent0[1]: (6454) {G1,W18,D3,L5,V1,M5} { join_on_relstr( skol7, X ) =
% 1.77/2.17 skol9, ! rel_str( skol7 ), ! ex_sup_of_relstr_set( skol7, X ), !
% 1.77/2.17 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.17 parent1[0]: (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (69) {G1,W16,D3,L4,V1,M4} R(2,29);r(28) { !
% 1.77/2.17 ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X, skol9 )
% 1.77/2.17 , ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==> skol9 }.
% 1.77/2.17 parent0: (6455) {G1,W16,D3,L4,V1,M4} { join_on_relstr( skol7, X ) = skol9
% 1.77/2.17 , ! ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X,
% 1.77/2.17 skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 3
% 1.77/2.17 1 ==> 0
% 1.77/2.17 2 ==> 1
% 1.77/2.17 3 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6457) {G1,W7,D2,L2,V3,M2} { ex_sup_of_relstr_set( X, Z ), !
% 1.77/2.17 alpha6( X, Y, Z ) }.
% 1.77/2.17 parent0[0]: (44) {G0,W7,D2,L2,V3,M2} I { ! alpha7( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.17 parent1[1]: (33) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha7( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (90) {G1,W7,D2,L2,V3,M2} R(33,44) { ! alpha6( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.17 parent0: (6457) {G1,W7,D2,L2,V3,M2} { ex_sup_of_relstr_set( X, Z ), !
% 1.77/2.17 alpha6( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6458) {G1,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol7,
% 1.77/2.17 skol10 ), relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 parent0[0]: (90) {G1,W7,D2,L2,V3,M2} R(33,44) { ! alpha6( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.17 parent1[0]: (30) {G0,W8,D2,L2,V0,M2} I { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := skol7
% 1.77/2.17 Y := skol9
% 1.77/2.17 Z := skol10
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (96) {G2,W7,D2,L2,V0,M2} R(30,90) { relstr_set_smaller( skol7
% 1.77/2.17 , skol10, skol9 ), ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.17 parent0: (6458) {G1,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.17 ), relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6459) {G1,W8,D2,L2,V0,M2} { alpha7( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 parent0[0]: (33) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha7( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 parent1[0]: (30) {G0,W8,D2,L2,V0,M2} I { alpha6( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := skol7
% 1.77/2.17 Y := skol9
% 1.77/2.17 Z := skol10
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (97) {G1,W8,D2,L2,V0,M2} R(30,33) { relstr_set_smaller( skol7
% 1.77/2.17 , skol10, skol9 ), alpha7( skol7, skol9, skol10 ) }.
% 1.77/2.17 parent0: (6459) {G1,W8,D2,L2,V0,M2} { alpha7( skol7, skol9, skol10 ),
% 1.77/2.17 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6460) {G1,W6,D3,L1,V1,M1} { element( join_on_relstr( skol7, X
% 1.77/2.17 ), the_carrier( skol7 ) ) }.
% 1.77/2.17 parent0[0]: (9) {G0,W8,D3,L2,V2,M2} I { ! rel_str( X ), element(
% 1.77/2.17 join_on_relstr( X, Y ), the_carrier( X ) ) }.
% 1.77/2.17 parent1[0]: (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := skol7
% 1.77/2.17 Y := X
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (115) {G1,W6,D3,L1,V1,M1} R(9,28) { element( join_on_relstr(
% 1.77/2.17 skol7, X ), the_carrier( skol7 ) ) }.
% 1.77/2.17 parent0: (6460) {G1,W6,D3,L1,V1,M1} { element( join_on_relstr( skol7, X )
% 1.77/2.17 , the_carrier( skol7 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6461) {G1,W11,D3,L2,V3,M2} { alpha1( X, Y, Z ), ! related( X
% 1.77/2.17 , Y, skol1( X, Y, Z ) ) }.
% 1.77/2.17 parent0[0]: (5) {G0,W12,D3,L2,V3,M2} I { ! alpha3( X, Y, Z, skol1( X, Y, Z
% 1.77/2.17 ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 parent1[1]: (8) {G0,W9,D2,L2,V4,M2} I { ! related( X, Y, T ), alpha3( X, Y
% 1.77/2.17 , Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := skol1( X, Y, Z )
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (123) {G1,W11,D3,L2,V3,M2} R(8,5) { ! related( X, Y, skol1( X
% 1.77/2.17 , Y, Z ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 parent0: (6461) {G1,W11,D3,L2,V3,M2} { alpha1( X, Y, Z ), ! related( X, Y
% 1.77/2.17 , skol1( X, Y, Z ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6462) {G1,W11,D3,L2,V3,M2} { alpha1( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Z, skol1( X, Y, Z ) ) }.
% 1.77/2.17 parent0[0]: (5) {G0,W12,D3,L2,V3,M2} I { ! alpha3( X, Y, Z, skol1( X, Y, Z
% 1.77/2.17 ) ), alpha1( X, Y, Z ) }.
% 1.77/2.17 parent1[1]: (7) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Z, T ),
% 1.77/2.17 alpha3( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := skol1( X, Y, Z )
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (124) {G1,W11,D3,L2,V3,M2} R(7,5) { relstr_set_smaller( X, Y,
% 1.77/2.17 skol1( X, Z, Y ) ), alpha1( X, Z, Y ) }.
% 1.77/2.17 parent0: (6462) {G1,W11,D3,L2,V3,M2} { alpha1( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Z, skol1( X, Y, Z ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Z
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6463) {G1,W14,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T ), related
% 1.77/2.17 ( X, Y, T ), alpha5( X, Z, U, T ) }.
% 1.77/2.17 parent0[1]: (6) {G0,W13,D2,L3,V4,M3} I { ! alpha3( X, Y, Z, T ), !
% 1.77/2.17 relstr_set_smaller( X, Z, T ), related( X, Y, T ) }.
% 1.77/2.17 parent1[0]: (25) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ),
% 1.77/2.17 alpha5( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Z
% 1.77/2.17 Z := U
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (131) {G1,W14,D2,L3,V5,M3} R(6,25) { ! alpha3( X, Y, Z, T ),
% 1.77/2.17 related( X, Y, T ), alpha5( X, Z, U, T ) }.
% 1.77/2.17 parent0: (6463) {G1,W14,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T ), related( X
% 1.77/2.17 , Y, T ), alpha5( X, Z, U, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 U := U
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6464) {G1,W16,D3,L4,V4,M4} { ! relstr_set_smaller( X, Z, T )
% 1.77/2.17 , related( X, Y, T ), ! alpha1( X, Y, Z ), ! element( T, the_carrier( X )
% 1.77/2.17 ) }.
% 1.77/2.17 parent0[0]: (6) {G0,W13,D2,L3,V4,M3} I { ! alpha3( X, Y, Z, T ), !
% 1.77/2.17 relstr_set_smaller( X, Z, T ), related( X, Y, T ) }.
% 1.77/2.17 parent1[2]: (3) {G0,W13,D3,L3,V4,M3} I { ! alpha1( X, Y, Z ), ! element( T
% 1.77/2.17 , the_carrier( X ) ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (137) {G1,W16,D3,L4,V4,M4} R(6,3) { ! relstr_set_smaller( X, Y
% 1.77/2.17 , Z ), related( X, T, Z ), ! alpha1( X, T, Y ), ! element( Z, the_carrier
% 1.77/2.17 ( X ) ) }.
% 1.77/2.17 parent0: (6464) {G1,W16,D3,L4,V4,M4} { ! relstr_set_smaller( X, Z, T ),
% 1.77/2.17 related( X, Y, T ), ! alpha1( X, Y, Z ), ! element( T, the_carrier( X ) )
% 1.77/2.17 }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := T
% 1.77/2.17 Z := Y
% 1.77/2.17 T := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 3 ==> 3
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6465) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, ! alpha7
% 1.77/2.17 ( Y, X, Z ) }.
% 1.77/2.17 parent0[1]: (43) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), Y =
% 1.77/2.17 join_on_relstr( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6466) {G1,W9,D3,L2,V0,M2} { join_on_relstr( skol7, skol10 ) =
% 1.77/2.17 skol9, relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 parent0[1]: (6465) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 alpha7( Y, X, Z ) }.
% 1.77/2.17 parent1[1]: (97) {G1,W8,D2,L2,V0,M2} R(30,33) { relstr_set_smaller( skol7,
% 1.77/2.17 skol10, skol9 ), alpha7( skol7, skol9, skol10 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := skol9
% 1.77/2.17 Y := skol7
% 1.77/2.17 Z := skol10
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (140) {G2,W9,D3,L2,V0,M2} R(43,97) { join_on_relstr( skol7,
% 1.77/2.17 skol10 ) ==> skol9, relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 parent0: (6466) {G1,W9,D3,L2,V0,M2} { join_on_relstr( skol7, skol10 ) =
% 1.77/2.17 skol9, relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6468) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, ! alpha7
% 1.77/2.17 ( Y, X, Z ) }.
% 1.77/2.17 parent0[1]: (43) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), Y =
% 1.77/2.17 join_on_relstr( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6469) {G1,W9,D3,L2,V3,M2} { join_on_relstr( X, Y ) = Z, !
% 1.77/2.17 alpha6( X, Z, Y ) }.
% 1.77/2.17 parent0[1]: (6468) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 alpha7( Y, X, Z ) }.
% 1.77/2.17 parent1[1]: (33) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha7( X, Y
% 1.77/2.17 , Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Z
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Z
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6470) {G1,W9,D3,L2,V3,M2} { Z = join_on_relstr( X, Y ), ! alpha6
% 1.77/2.17 ( X, Z, Y ) }.
% 1.77/2.17 parent0[0]: (6469) {G1,W9,D3,L2,V3,M2} { join_on_relstr( X, Y ) = Z, !
% 1.77/2.17 alpha6( X, Z, Y ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (141) {G1,W9,D3,L2,V3,M2} R(43,33) { X = join_on_relstr( Y, Z
% 1.77/2.17 ), ! alpha6( Y, X, Z ) }.
% 1.77/2.17 parent0: (6470) {G1,W9,D3,L2,V3,M2} { Z = join_on_relstr( X, Y ), ! alpha6
% 1.77/2.17 ( X, Z, Y ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := Z
% 1.77/2.17 Z := X
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6471) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, ! alpha7
% 1.77/2.17 ( Y, X, Z ) }.
% 1.77/2.17 parent0[1]: (43) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), Y =
% 1.77/2.17 join_on_relstr( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6472) {G0,W18,D3,L5,V3,M5} { ! join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 rel_str( Y ), ! element( X, the_carrier( Y ) ), ! ex_sup_of_relstr_set( Y
% 1.77/2.17 , Z ), alpha1( Y, X, Z ) }.
% 1.77/2.17 parent0[3]: (1) {G0,W18,D3,L5,V3,M5} I { ! rel_str( X ), ! element( Y,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Z ), ! Y = join_on_relstr
% 1.77/2.17 ( X, Z ), alpha1( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6473) {G1,W17,D3,L5,V3,M5} { ! rel_str( X ), ! element( Z,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Y ), alpha1( X, Z, Y ), !
% 1.77/2.17 alpha7( X, Z, Y ) }.
% 1.77/2.17 parent0[0]: (6472) {G0,W18,D3,L5,V3,M5} { ! join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 rel_str( Y ), ! element( X, the_carrier( Y ) ), ! ex_sup_of_relstr_set( Y
% 1.77/2.17 , Z ), alpha1( Y, X, Z ) }.
% 1.77/2.17 parent1[0]: (6471) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 alpha7( Y, X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Z
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := Z
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (142) {G1,W17,D3,L5,V3,M5} R(43,1) { ! alpha7( X, Y, Z ), !
% 1.77/2.17 rel_str( X ), ! element( Y, the_carrier( X ) ), ! ex_sup_of_relstr_set( X
% 1.77/2.17 , Z ), alpha1( X, Y, Z ) }.
% 1.77/2.17 parent0: (6473) {G1,W17,D3,L5,V3,M5} { ! rel_str( X ), ! element( Z,
% 1.77/2.17 the_carrier( X ) ), ! ex_sup_of_relstr_set( X, Y ), alpha1( X, Z, Y ), !
% 1.77/2.17 alpha7( X, Z, Y ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Z
% 1.77/2.17 Z := Y
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 2
% 1.77/2.17 2 ==> 3
% 1.77/2.17 3 ==> 4
% 1.77/2.17 4 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 eqswap: (6474) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, ! alpha7
% 1.77/2.17 ( Y, X, Z ) }.
% 1.77/2.17 parent0[1]: (43) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), Y =
% 1.77/2.17 join_on_relstr( X, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := X
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 paramod: (6475) {G1,W8,D3,L2,V2,M2} { element( Y, the_carrier( skol7 ) ),
% 1.77/2.17 ! alpha7( skol7, Y, X ) }.
% 1.77/2.17 parent0[0]: (6474) {G0,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, !
% 1.77/2.17 alpha7( Y, X, Z ) }.
% 1.77/2.17 parent1[0; 1]: (115) {G1,W6,D3,L1,V1,M1} R(9,28) { element( join_on_relstr
% 1.77/2.17 ( skol7, X ), the_carrier( skol7 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := Y
% 1.77/2.17 Y := skol7
% 1.77/2.17 Z := X
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (147) {G2,W8,D3,L2,V2,M2} P(43,115) { element( Y, the_carrier
% 1.77/2.17 ( skol7 ) ), ! alpha7( skol7, Y, X ) }.
% 1.77/2.17 parent0: (6475) {G1,W8,D3,L2,V2,M2} { element( Y, the_carrier( skol7 ) ),
% 1.77/2.17 ! alpha7( skol7, Y, X ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6476) {G1,W11,D2,L4,V1,M4} { ! antisymmetric_relstr( skol7 )
% 1.77/2.17 , ! rel_str( skol7 ), ! alpha2( skol7, X, skol9 ), ex_sup_of_relstr_set(
% 1.77/2.17 skol7, X ) }.
% 1.77/2.17 parent0[2]: (17) {G0,W15,D3,L5,V3,M5} I { ! antisymmetric_relstr( X ), !
% 1.77/2.17 rel_str( X ), ! element( Z, the_carrier( X ) ), ! alpha2( X, Y, Z ),
% 1.77/2.17 ex_sup_of_relstr_set( X, Y ) }.
% 1.77/2.17 parent1[0]: (29) {G0,W4,D3,L1,V0,M1} I { element( skol9, the_carrier( skol7
% 1.77/2.17 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := skol7
% 1.77/2.17 Y := X
% 1.77/2.17 Z := skol9
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6477) {G1,W9,D2,L3,V1,M3} { ! rel_str( skol7 ), ! alpha2(
% 1.77/2.17 skol7, X, skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 parent0[0]: (6476) {G1,W11,D2,L4,V1,M4} { ! antisymmetric_relstr( skol7 )
% 1.77/2.17 , ! rel_str( skol7 ), ! alpha2( skol7, X, skol9 ), ex_sup_of_relstr_set(
% 1.77/2.17 skol7, X ) }.
% 1.77/2.17 parent1[0]: (27) {G0,W2,D2,L1,V0,M1} I { antisymmetric_relstr( skol7 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (249) {G1,W9,D2,L3,V1,M3} R(17,29);r(27) { ! rel_str( skol7 )
% 1.77/2.17 , ! alpha2( skol7, X, skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 parent0: (6477) {G1,W9,D2,L3,V1,M3} { ! rel_str( skol7 ), ! alpha2( skol7
% 1.77/2.17 , X, skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6478) {G1,W7,D2,L2,V1,M2} { ! alpha2( skol7, X, skol9 ),
% 1.77/2.17 ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 parent0[0]: (249) {G1,W9,D2,L3,V1,M3} R(17,29);r(27) { ! rel_str( skol7 ),
% 1.77/2.17 ! alpha2( skol7, X, skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 parent1[0]: (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (278) {G2,W7,D2,L2,V1,M2} S(249);r(28) { ! alpha2( skol7, X,
% 1.77/2.17 skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 parent0: (6478) {G1,W7,D2,L2,V1,M2} { ! alpha2( skol7, X, skol9 ),
% 1.77/2.17 ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6479) {G1,W11,D2,L3,V1,M3} { ex_sup_of_relstr_set( skol7, X )
% 1.77/2.17 , ! relstr_set_smaller( skol7, X, skol9 ), ! alpha4( skol7, X, skol9 )
% 1.77/2.17 }.
% 1.77/2.17 parent0[0]: (278) {G2,W7,D2,L2,V1,M2} S(249);r(28) { ! alpha2( skol7, X,
% 1.77/2.17 skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.17 parent1[2]: (20) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ),
% 1.77/2.17 ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := skol7
% 1.77/2.17 Y := X
% 1.77/2.17 Z := skol9
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (279) {G3,W11,D2,L3,V1,M3} R(278,20) { ex_sup_of_relstr_set(
% 1.77/2.17 skol7, X ), ! relstr_set_smaller( skol7, X, skol9 ), ! alpha4( skol7, X,
% 1.77/2.17 skol9 ) }.
% 1.77/2.17 parent0: (6479) {G1,W11,D2,L3,V1,M3} { ex_sup_of_relstr_set( skol7, X ), !
% 1.77/2.17 relstr_set_smaller( skol7, X, skol9 ), ! alpha4( skol7, X, skol9 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 2 ==> 2
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6480) {G1,W16,D3,L3,V6,M3} { ! element( T, the_carrier( X ) )
% 1.77/2.17 , alpha5( X, Y, Z, T ), element( skol6( X, U, W ), the_carrier( X ) ) }.
% 1.77/2.17 parent0[0]: (21) {G0,W13,D3,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! element( T
% 1.77/2.17 , the_carrier( X ) ), alpha5( X, Y, Z, T ) }.
% 1.77/2.17 parent1[1]: (22) {G0,W11,D3,L2,V5,M2} I { element( skol6( X, T, U ),
% 1.77/2.17 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := T
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := U
% 1.77/2.17 U := W
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (365) {G1,W16,D3,L3,V6,M3} R(22,21) { element( skol6( X, Y, Z
% 1.77/2.17 ), the_carrier( X ) ), ! element( T, the_carrier( X ) ), alpha5( X, U, W
% 1.77/2.17 , T ) }.
% 1.77/2.17 parent0: (6480) {G1,W16,D3,L3,V6,M3} { ! element( T, the_carrier( X ) ),
% 1.77/2.17 alpha5( X, Y, Z, T ), element( skol6( X, U, W ), the_carrier( X ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := U
% 1.77/2.17 Z := W
% 1.77/2.17 T := T
% 1.77/2.17 U := Y
% 1.77/2.17 W := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 2
% 1.77/2.17 2 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6482) {G1,W16,D3,L3,V7,M3} { ! alpha1( X, Y, Z ), alpha3( X,
% 1.77/2.17 Y, Z, skol6( X, T, U ) ), alpha4( X, W, V0 ) }.
% 1.77/2.17 parent0[1]: (3) {G0,W13,D3,L3,V4,M3} I { ! alpha1( X, Y, Z ), ! element( T
% 1.77/2.17 , the_carrier( X ) ), alpha3( X, Y, Z, T ) }.
% 1.77/2.17 parent1[0]: (22) {G0,W11,D3,L2,V5,M2} I { element( skol6( X, T, U ),
% 1.77/2.17 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := skol6( X, T, U )
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := W
% 1.77/2.17 Z := V0
% 1.77/2.17 T := T
% 1.77/2.17 U := U
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (368) {G1,W16,D3,L3,V7,M3} R(22,3) { alpha4( X, Y, Z ), !
% 1.77/2.17 alpha1( X, T, U ), alpha3( X, T, U, skol6( X, W, V0 ) ) }.
% 1.77/2.17 parent0: (6482) {G1,W16,D3,L3,V7,M3} { ! alpha1( X, Y, Z ), alpha3( X, Y,
% 1.77/2.17 Z, skol6( X, T, U ) ), alpha4( X, W, V0 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := T
% 1.77/2.17 Z := U
% 1.77/2.17 T := W
% 1.77/2.17 U := V0
% 1.77/2.17 W := Y
% 1.77/2.17 V0 := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 1
% 1.77/2.17 1 ==> 2
% 1.77/2.17 2 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6483) {G1,W11,D3,L2,V3,M2} { alpha4( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Y, skol6( X, Y, Z ) ) }.
% 1.77/2.17 parent0[0]: (23) {G0,W12,D3,L2,V3,M2} I { ! alpha5( X, Y, Z, skol6( X, Y, Z
% 1.77/2.17 ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 parent1[1]: (25) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Y, T ),
% 1.77/2.17 alpha5( X, Y, Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := skol6( X, Y, Z )
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (413) {G1,W11,D3,L2,V3,M2} R(23,25) { alpha4( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Y, skol6( X, Y, Z ) ) }.
% 1.77/2.17 parent0: (6483) {G1,W11,D3,L2,V3,M2} { alpha4( X, Y, Z ),
% 1.77/2.17 relstr_set_smaller( X, Y, skol6( X, Y, Z ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 1 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (6484) {G1,W11,D3,L2,V3,M2} { alpha4( X, Y, Z ), ! related( X
% 1.77/2.17 , Z, skol6( X, Y, Z ) ) }.
% 1.77/2.17 parent0[0]: (23) {G0,W12,D3,L2,V3,M2} I { ! alpha5( X, Y, Z, skol6( X, Y, Z
% 1.77/2.17 ) ), alpha4( X, Y, Z ) }.
% 1.77/2.17 parent1[1]: (26) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha5( X, Y
% 1.77/2.17 , Z, T ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 X := X
% 1.77/2.17 Y := Y
% 1.77/2.17 Z := Z
% 1.77/2.17 T := skol6( X, Y, Z )
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (414) {G1,W11,D3,L2,V3,M2} R(23,26) { alpha4( X, Y, Z ), !
% 1.77/2.18 related( X, Z, skol6( X, Y, Z ) ) }.
% 1.77/2.18 parent0: (6484) {G1,W11,D3,L2,V3,M2} { alpha4( X, Y, Z ), ! related( X, Z
% 1.77/2.18 , skol6( X, Y, Z ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6485) {G1,W14,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T ), related
% 1.77/2.18 ( X, Z, T ), alpha3( X, U, Y, T ) }.
% 1.77/2.18 parent0[1]: (24) {G0,W13,D2,L3,V4,M3} I { ! alpha5( X, Y, Z, T ), !
% 1.77/2.18 relstr_set_smaller( X, Y, T ), related( X, Z, T ) }.
% 1.77/2.18 parent1[0]: (7) {G0,W9,D2,L2,V4,M2} I { relstr_set_smaller( X, Z, T ),
% 1.77/2.18 alpha3( X, Y, Z, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := U
% 1.77/2.18 Z := Y
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (421) {G1,W14,D2,L3,V5,M3} R(24,7) { ! alpha5( X, Y, Z, T ),
% 1.77/2.18 related( X, Z, T ), alpha3( X, U, Y, T ) }.
% 1.77/2.18 parent0: (6485) {G1,W14,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T ), related( X
% 1.77/2.18 , Z, T ), alpha3( X, U, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 U := U
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6486) {G1,W12,D2,L3,V3,M3} { ! alpha7( X, Y, Z ), alpha6( X,
% 1.77/2.18 Y, Z ), ! alpha9( X, Y, Z ) }.
% 1.77/2.18 parent0[1]: (35) {G0,W12,D2,L3,V3,M3} I { ! alpha7( X, Y, Z ), ! alpha8( X
% 1.77/2.18 , Y, Z ), alpha6( X, Y, Z ) }.
% 1.77/2.18 parent1[1]: (38) {G0,W8,D2,L2,V3,M2} I { ! alpha9( X, Y, Z ), alpha8( X, Y
% 1.77/2.18 , Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (550) {G1,W12,D2,L3,V3,M3} R(35,38) { ! alpha7( X, Y, Z ),
% 1.77/2.18 alpha6( X, Y, Z ), ! alpha9( X, Y, Z ) }.
% 1.77/2.18 parent0: (6486) {G1,W12,D2,L3,V3,M3} { ! alpha7( X, Y, Z ), alpha6( X, Y,
% 1.77/2.18 Z ), ! alpha9( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6488) {G2,W12,D3,L3,V0,M3} { ! rel_str( skol7 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, join_on_relstr( skol7, skol10 ) ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0[1]: (46) {G1,W11,D3,L3,V2,M3} Q(0);r(9) { ! rel_str( X ), !
% 1.77/2.18 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.18 , Y ) ) }.
% 1.77/2.18 parent1[1]: (96) {G2,W7,D2,L2,V0,M2} R(30,90) { relstr_set_smaller( skol7,
% 1.77/2.18 skol10, skol9 ), ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 paramod: (6489) {G3,W14,D2,L4,V0,M4} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol9 ), relstr_set_smaller( skol7, skol10, skol9 ), ! rel_str( skol7 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0[0]: (140) {G2,W9,D3,L2,V0,M2} R(43,97) { join_on_relstr( skol7,
% 1.77/2.18 skol10 ) ==> skol9, relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent1[1; 3]: (6488) {G2,W12,D3,L3,V0,M3} { ! rel_str( skol7 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, join_on_relstr( skol7, skol10 ) ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6492) {G1,W12,D2,L3,V0,M3} { relstr_set_smaller( skol7,
% 1.77/2.18 skol10, skol9 ), relstr_set_smaller( skol7, skol10, skol9 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0[2]: (6489) {G3,W14,D2,L4,V0,M4} { relstr_set_smaller( skol7,
% 1.77/2.18 skol10, skol9 ), relstr_set_smaller( skol7, skol10, skol9 ), ! rel_str(
% 1.77/2.18 skol7 ), relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent1[0]: (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6493) {G1,W8,D2,L2,V0,M2} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol9 ), relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0[0, 1]: (6492) {G1,W12,D2,L3,V0,M3} { relstr_set_smaller( skol7,
% 1.77/2.18 skol10, skol9 ), relstr_set_smaller( skol7, skol10, skol9 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6494) {G1,W4,D2,L1,V0,M1} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol9 ) }.
% 1.77/2.18 parent0[0, 1]: (6493) {G1,W8,D2,L2,V0,M2} { relstr_set_smaller( skol7,
% 1.77/2.18 skol10, skol9 ), relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (669) {G3,W4,D2,L1,V0,M1} R(46,96);d(140);f;r(28) {
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0: (6494) {G1,W4,D2,L1,V0,M1} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6495) {G1,W9,D3,L2,V1,M2} { ! ex_sup_of_relstr_set( skol7, X
% 1.77/2.18 ), relstr_set_smaller( skol7, X, join_on_relstr( skol7, X ) ) }.
% 1.77/2.18 parent0[0]: (46) {G1,W11,D3,L3,V2,M3} Q(0);r(9) { ! rel_str( X ), !
% 1.77/2.18 ex_sup_of_relstr_set( X, Y ), relstr_set_smaller( X, Y, join_on_relstr( X
% 1.77/2.18 , Y ) ) }.
% 1.77/2.18 parent1[0]: (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (672) {G2,W9,D3,L2,V1,M2} R(46,28) { ! ex_sup_of_relstr_set(
% 1.77/2.18 skol7, X ), relstr_set_smaller( skol7, X, join_on_relstr( skol7, X ) )
% 1.77/2.18 }.
% 1.77/2.18 parent0: (6495) {G1,W9,D3,L2,V1,M2} { ! ex_sup_of_relstr_set( skol7, X ),
% 1.77/2.18 relstr_set_smaller( skol7, X, join_on_relstr( skol7, X ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6496) {G1,W8,D2,L2,V0,M2} { ! alpha8( skol7, skol9, skol10 )
% 1.77/2.18 , alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[1]: (36) {G0,W12,D2,L3,V3,M3} I { ! alpha8( X, Y, Z ), !
% 1.77/2.18 relstr_set_smaller( X, Z, Y ), alpha9( X, Y, Z ) }.
% 1.77/2.18 parent1[0]: (669) {G3,W4,D2,L1,V0,M1} R(46,96);d(140);f;r(28) {
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (676) {G4,W8,D2,L2,V0,M2} R(669,36) { ! alpha8( skol7, skol9,
% 1.77/2.18 skol10 ), alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0: (6496) {G1,W8,D2,L2,V0,M2} { ! alpha8( skol7, skol9, skol10 ),
% 1.77/2.18 alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6497) {G1,W8,D2,L2,V0,M2} { ! alpha4( skol7, skol10, skol9 )
% 1.77/2.18 , alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0[0]: (20) {G0,W12,D2,L3,V3,M3} I { ! relstr_set_smaller( X, Y, Z ),
% 1.77/2.18 ! alpha4( X, Y, Z ), alpha2( X, Y, Z ) }.
% 1.77/2.18 parent1[0]: (669) {G3,W4,D2,L1,V0,M1} R(46,96);d(140);f;r(28) {
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (678) {G4,W8,D2,L2,V0,M2} R(669,20) { ! alpha4( skol7, skol10
% 1.77/2.18 , skol9 ), alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0: (6497) {G1,W8,D2,L2,V0,M2} { ! alpha4( skol7, skol10, skol9 ),
% 1.77/2.18 alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6498) {G1,W11,D3,L2,V0,M2} { ! related( skol7, skol9, skol8(
% 1.77/2.18 skol7, skol9, skol10 ) ), ! alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (41) {G0,W11,D3,L2,V3,M2} I { ! alpha9( X, Y, Z ), ! related( X
% 1.77/2.18 , Y, skol8( X, Y, Z ) ) }.
% 1.77/2.18 parent1[1]: (676) {G4,W8,D2,L2,V0,M2} R(669,36) { ! alpha8( skol7, skol9,
% 1.77/2.18 skol10 ), alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (699) {G5,W11,D3,L2,V0,M2} R(676,41) { ! alpha8( skol7, skol9
% 1.77/2.18 , skol10 ), ! related( skol7, skol9, skol8( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0: (6498) {G1,W11,D3,L2,V0,M2} { ! related( skol7, skol9, skol8(
% 1.77/2.18 skol7, skol9, skol10 ) ), ! alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6499) {G1,W11,D3,L2,V1,M2} { relstr_set_smaller( skol7,
% 1.77/2.18 skol10, skol8( skol7, X, skol10 ) ), ! alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (40) {G0,W11,D3,L2,V4,M2} I { ! alpha9( X, Y, Z ),
% 1.77/2.18 relstr_set_smaller( X, Z, skol8( X, T, Z ) ) }.
% 1.77/2.18 parent1[1]: (676) {G4,W8,D2,L2,V0,M2} R(669,36) { ! alpha8( skol7, skol9,
% 1.77/2.18 skol10 ), alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (700) {G5,W11,D3,L2,V1,M2} R(676,40) { ! alpha8( skol7, skol9
% 1.77/2.18 , skol10 ), relstr_set_smaller( skol7, skol10, skol8( skol7, X, skol10 )
% 1.77/2.18 ) }.
% 1.77/2.18 parent0: (6499) {G1,W11,D3,L2,V1,M2} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol8( skol7, X, skol10 ) ), ! alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6500) {G1,W11,D3,L2,V2,M2} { element( skol8( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ), ! alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (39) {G0,W11,D3,L2,V5,M2} I { ! alpha9( X, Y, Z ), element(
% 1.77/2.18 skol8( X, T, U ), the_carrier( X ) ) }.
% 1.77/2.18 parent1[1]: (676) {G4,W8,D2,L2,V0,M2} R(669,36) { ! alpha8( skol7, skol9,
% 1.77/2.18 skol10 ), alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := X
% 1.77/2.18 U := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (701) {G5,W11,D3,L2,V2,M2} R(676,39) { ! alpha8( skol7, skol9
% 1.77/2.18 , skol10 ), element( skol8( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0: (6500) {G1,W11,D3,L2,V2,M2} { element( skol8( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ), ! alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6501) {G1,W11,D3,L2,V2,M2} { alpha2( skol7, skol10, skol9 ),
% 1.77/2.18 element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[0]: (678) {G4,W8,D2,L2,V0,M2} R(669,20) { ! alpha4( skol7, skol10,
% 1.77/2.18 skol9 ), alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent1[1]: (22) {G0,W11,D3,L2,V5,M2} I { element( skol6( X, T, U ),
% 1.77/2.18 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 T := X
% 1.77/2.18 U := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (713) {G5,W11,D3,L2,V2,M2} R(678,22) { alpha2( skol7, skol10,
% 1.77/2.18 skol9 ), element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0: (6501) {G1,W11,D3,L2,V2,M2} { alpha2( skol7, skol10, skol9 ),
% 1.77/2.18 element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6502) {G3,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha4( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0[0]: (278) {G2,W7,D2,L2,V1,M2} S(249);r(28) { ! alpha2( skol7, X,
% 1.77/2.18 skol9 ), ex_sup_of_relstr_set( skol7, X ) }.
% 1.77/2.18 parent1[1]: (678) {G4,W8,D2,L2,V0,M2} R(669,20) { ! alpha4( skol7, skol10,
% 1.77/2.18 skol9 ), alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol10
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (714) {G5,W7,D2,L2,V0,M2} R(678,278) { ! alpha4( skol7, skol10
% 1.77/2.18 , skol9 ), ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.18 parent0: (6502) {G3,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.18 ), ! alpha4( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6503) {G1,W11,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha5( skol7, skol10, skol9, skol6( skol7, skol10, skol9 ) )
% 1.77/2.18 }.
% 1.77/2.18 parent0[0]: (714) {G5,W7,D2,L2,V0,M2} R(678,278) { ! alpha4( skol7, skol10
% 1.77/2.18 , skol9 ), ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.18 parent1[1]: (23) {G0,W12,D3,L2,V3,M2} I { ! alpha5( X, Y, Z, skol6( X, Y, Z
% 1.77/2.18 ) ), alpha4( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (719) {G6,W11,D3,L2,V0,M2} R(714,23) { ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ), ! alpha5( skol7, skol10, skol9, skol6( skol7, skol10,
% 1.77/2.18 skol9 ) ) }.
% 1.77/2.18 parent0: (6503) {G1,W11,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.18 ), ! alpha5( skol7, skol10, skol9, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6504) {G1,W10,D3,L2,V2,M2} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[0]: (714) {G5,W7,D2,L2,V0,M2} R(678,278) { ! alpha4( skol7, skol10
% 1.77/2.18 , skol9 ), ex_sup_of_relstr_set( skol7, skol10 ) }.
% 1.77/2.18 parent1[1]: (22) {G0,W11,D3,L2,V5,M2} I { element( skol6( X, T, U ),
% 1.77/2.18 the_carrier( X ) ), alpha4( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 T := X
% 1.77/2.18 U := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (723) {G6,W10,D3,L2,V2,M2} R(714,22) { ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ), element( skol6( skol7, X, Y ), the_carrier( skol7 ) )
% 1.77/2.18 }.
% 1.77/2.18 parent0: (6504) {G1,W10,D3,L2,V2,M2} { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.18 ), element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6505) {G2,W10,D3,L2,V2,M2} { relstr_set_smaller( skol7, X,
% 1.77/2.18 join_on_relstr( skol7, X ) ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 parent0[0]: (672) {G2,W9,D3,L2,V1,M2} R(46,28) { ! ex_sup_of_relstr_set(
% 1.77/2.18 skol7, X ), relstr_set_smaller( skol7, X, join_on_relstr( skol7, X ) )
% 1.77/2.18 }.
% 1.77/2.18 parent1[1]: (90) {G1,W7,D2,L2,V3,M2} R(33,44) { ! alpha6( X, Y, Z ),
% 1.77/2.18 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (795) {G3,W10,D3,L2,V2,M2} R(672,90) { relstr_set_smaller(
% 1.77/2.18 skol7, X, join_on_relstr( skol7, X ) ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 parent0: (6505) {G2,W10,D3,L2,V2,M2} { relstr_set_smaller( skol7, X,
% 1.77/2.18 join_on_relstr( skol7, X ) ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 eqswap: (6506) {G1,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, ! alpha6
% 1.77/2.18 ( Y, X, Z ) }.
% 1.77/2.18 parent0[0]: (141) {G1,W9,D3,L2,V3,M2} R(43,33) { X = join_on_relstr( Y, Z )
% 1.77/2.18 , ! alpha6( Y, X, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 paramod: (6507) {G2,W12,D2,L3,V3,M3} { relstr_set_smaller( skol7, X, Y ),
% 1.77/2.18 ! alpha6( skol7, Y, X ), ! alpha6( skol7, Z, X ) }.
% 1.77/2.18 parent0[0]: (6506) {G1,W9,D3,L2,V3,M2} { join_on_relstr( Y, Z ) = X, !
% 1.77/2.18 alpha6( Y, X, Z ) }.
% 1.77/2.18 parent1[0; 3]: (795) {G3,W10,D3,L2,V2,M2} R(672,90) { relstr_set_smaller(
% 1.77/2.18 skol7, X, join_on_relstr( skol7, X ) ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := skol7
% 1.77/2.18 Z := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Z
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (848) {G4,W12,D2,L3,V3,M3} P(141,795) { relstr_set_smaller(
% 1.77/2.18 skol7, X, Y ), ! alpha6( skol7, Z, X ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 parent0: (6507) {G2,W12,D2,L3,V3,M3} { relstr_set_smaller( skol7, X, Y ),
% 1.77/2.18 ! alpha6( skol7, Y, X ), ! alpha6( skol7, Z, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 2
% 1.77/2.18 2 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6509) {G4,W8,D2,L2,V2,M2} { relstr_set_smaller( skol7, X, Y ), !
% 1.77/2.18 alpha6( skol7, Y, X ) }.
% 1.77/2.18 parent0[1, 2]: (848) {G4,W12,D2,L3,V3,M3} P(141,795) { relstr_set_smaller(
% 1.77/2.18 skol7, X, Y ), ! alpha6( skol7, Z, X ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (850) {G5,W8,D2,L2,V2,M2} F(848) { relstr_set_smaller( skol7,
% 1.77/2.18 X, Y ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 parent0: (6509) {G4,W8,D2,L2,V2,M2} { relstr_set_smaller( skol7, X, Y ), !
% 1.77/2.18 alpha6( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6510) {G1,W12,D2,L3,V2,M3} { ! alpha8( skol7, X, Y ), alpha9
% 1.77/2.18 ( skol7, X, Y ), ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 parent0[1]: (36) {G0,W12,D2,L3,V3,M3} I { ! alpha8( X, Y, Z ), !
% 1.77/2.18 relstr_set_smaller( X, Z, Y ), alpha9( X, Y, Z ) }.
% 1.77/2.18 parent1[0]: (850) {G5,W8,D2,L2,V2,M2} F(848) { relstr_set_smaller( skol7, X
% 1.77/2.18 , Y ), ! alpha6( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6511) {G1,W12,D2,L3,V2,M3} { alpha9( skol7, X, Y ), ! alpha6
% 1.77/2.18 ( skol7, X, Y ), ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 parent0[0]: (6510) {G1,W12,D2,L3,V2,M3} { ! alpha8( skol7, X, Y ), alpha9
% 1.77/2.18 ( skol7, X, Y ), ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 parent1[1]: (34) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha8( X, Y
% 1.77/2.18 , Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6512) {G1,W8,D2,L2,V2,M2} { alpha9( skol7, X, Y ), ! alpha6(
% 1.77/2.18 skol7, X, Y ) }.
% 1.77/2.18 parent0[1, 2]: (6511) {G1,W12,D2,L3,V2,M3} { alpha9( skol7, X, Y ), !
% 1.77/2.18 alpha6( skol7, X, Y ), ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (851) {G6,W8,D2,L2,V2,M2} R(850,36);r(34) { ! alpha6( skol7, X
% 1.77/2.18 , Y ), alpha9( skol7, X, Y ) }.
% 1.77/2.18 parent0: (6512) {G1,W8,D2,L2,V2,M2} { alpha9( skol7, X, Y ), ! alpha6(
% 1.77/2.18 skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6513) {G1,W11,D3,L2,V2,M2} { ! related( skol7, X, skol8(
% 1.77/2.18 skol7, X, Y ) ), ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 parent0[0]: (41) {G0,W11,D3,L2,V3,M2} I { ! alpha9( X, Y, Z ), ! related( X
% 1.77/2.18 , Y, skol8( X, Y, Z ) ) }.
% 1.77/2.18 parent1[1]: (851) {G6,W8,D2,L2,V2,M2} R(850,36);r(34) { ! alpha6( skol7, X
% 1.77/2.18 , Y ), alpha9( skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (856) {G7,W11,D3,L2,V2,M2} R(851,41) { ! alpha6( skol7, X, Y )
% 1.77/2.18 , ! related( skol7, X, skol8( skol7, X, Y ) ) }.
% 1.77/2.18 parent0: (6513) {G1,W11,D3,L2,V2,M2} { ! related( skol7, X, skol8( skol7,
% 1.77/2.18 X, Y ) ), ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 eqswap: (6514) {G1,W16,D3,L4,V1,M4} { skol9 ==> join_on_relstr( skol7, X )
% 1.77/2.18 , ! ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X,
% 1.77/2.18 skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.18 parent0[3]: (69) {G1,W16,D3,L4,V1,M4} R(2,29);r(28) { !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X, skol9 )
% 1.77/2.18 , ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==> skol9 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 eqswap: (6515) {G0,W12,D3,L3,V0,M3} { ! skol9 ==> join_on_relstr( skol7,
% 1.77/2.18 skol10 ), alpha6( skol7, skol9, skol10 ), ! ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ) }.
% 1.77/2.18 parent0[1]: (32) {G0,W12,D3,L3,V0,M3} I { alpha6( skol7, skol9, skol10 ), !
% 1.77/2.18 join_on_relstr( skol7, skol10 ) ==> skol9, ! ex_sup_of_relstr_set( skol7
% 1.77/2.18 , skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6516) {G1,W18,D2,L5,V0,M5} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 ! ex_sup_of_relstr_set( skol7, skol10 ), ! ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! relstr_set_smaller( skol7, skol10, skol9 ), ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (6515) {G0,W12,D3,L3,V0,M3} { ! skol9 ==> join_on_relstr(
% 1.77/2.18 skol7, skol10 ), alpha6( skol7, skol9, skol10 ), ! ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ) }.
% 1.77/2.18 parent1[0]: (6514) {G1,W16,D3,L4,V1,M4} { skol9 ==> join_on_relstr( skol7
% 1.77/2.18 , X ), ! ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X
% 1.77/2.18 , skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6518) {G1,W18,D2,L5,V0,M5} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 ! ex_sup_of_relstr_set( skol7, skol10 ), ! ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha1( skol7, skol9, skol10 ), alpha6( skol7, skol9, skol10
% 1.77/2.18 ) }.
% 1.77/2.18 parent0[3]: (6516) {G1,W18,D2,L5,V0,M5} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 ! ex_sup_of_relstr_set( skol7, skol10 ), ! ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! relstr_set_smaller( skol7, skol10, skol9 ), ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ) }.
% 1.77/2.18 parent1[1]: (30) {G0,W8,D2,L2,V0,M2} I { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6519) {G1,W14,D2,L4,V0,M4} { alpha6( skol7, skol9, skol10 ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0, 4]: (6518) {G1,W18,D2,L5,V0,M5} { alpha6( skol7, skol9, skol10
% 1.77/2.18 ), ! ex_sup_of_relstr_set( skol7, skol10 ), ! ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ), ! alpha1( skol7, skol9, skol10 ), alpha6( skol7, skol9,
% 1.77/2.18 skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6520) {G1,W11,D2,L3,V0,M3} { alpha6( skol7, skol9, skol10 ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 }.
% 1.77/2.18 parent0[1, 2]: (6519) {G1,W14,D2,L4,V0,M4} { alpha6( skol7, skol9, skol10
% 1.77/2.18 ), ! ex_sup_of_relstr_set( skol7, skol10 ), ! ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (944) {G2,W11,D2,L3,V0,M3} R(69,32);f;r(30) { !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 ),
% 1.77/2.18 alpha6( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0: (6520) {G1,W11,D2,L3,V0,M3} { alpha6( skol7, skol9, skol10 ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 2
% 1.77/2.18 1 ==> 0
% 1.77/2.18 2 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6521) {G1,W11,D2,L3,V0,M3} { alpha8( skol7, skol9, skol10 ),
% 1.77/2.18 ! ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 }.
% 1.77/2.18 parent0[0]: (34) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha8( X, Y
% 1.77/2.18 , Z ) }.
% 1.77/2.18 parent1[2]: (944) {G2,W11,D2,L3,V0,M3} R(69,32);f;r(30) { !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 ),
% 1.77/2.18 alpha6( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1168) {G3,W11,D2,L3,V0,M3} R(944,34) { ! ex_sup_of_relstr_set
% 1.77/2.18 ( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 ), alpha8( skol7, skol9
% 1.77/2.18 , skol10 ) }.
% 1.77/2.18 parent0: (6521) {G1,W11,D2,L3,V0,M3} { alpha8( skol7, skol9, skol10 ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 2
% 1.77/2.18 1 ==> 0
% 1.77/2.18 2 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6522) {G2,W11,D3,L2,V0,M2} { alpha2( skol7, skol10, skol9 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0[0]: (678) {G4,W8,D2,L2,V0,M2} R(669,20) { ! alpha4( skol7, skol10,
% 1.77/2.18 skol9 ), alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent1[0]: (413) {G1,W11,D3,L2,V3,M2} R(23,25) { alpha4( X, Y, Z ),
% 1.77/2.18 relstr_set_smaller( X, Y, skol6( X, Y, Z ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1252) {G5,W11,D3,L2,V0,M2} R(413,678) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol6( skol7, skol10, skol9 ) ), alpha2( skol7, skol10,
% 1.77/2.18 skol9 ) }.
% 1.77/2.18 parent0: (6522) {G2,W11,D3,L2,V0,M2} { alpha2( skol7, skol10, skol9 ),
% 1.77/2.18 relstr_set_smaller( skol7, skol10, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6523) {G1,W22,D3,L4,V0,M4} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 ! element( skol6( skol7, skol10, skol9 ), the_carrier( skol7 ) ), related
% 1.77/2.18 ( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha2( skol7, skol10,
% 1.77/2.18 skol9 ) }.
% 1.77/2.18 parent0[2]: (31) {G0,W16,D3,L4,V1,M4} I { alpha6( skol7, skol9, skol10 ), !
% 1.77/2.18 element( X, the_carrier( skol7 ) ), ! relstr_set_smaller( skol7, skol10
% 1.77/2.18 , X ), related( skol7, skol9, X ) }.
% 1.77/2.18 parent1[0]: (1252) {G5,W11,D3,L2,V0,M2} R(413,678) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol6( skol7, skol10, skol9 ) ), alpha2( skol7, skol10,
% 1.77/2.18 skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol6( skol7, skol10, skol9 )
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6524) {G2,W19,D3,L4,V0,M4} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha2( skol7,
% 1.77/2.18 skol10, skol9 ), alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 parent0[1]: (6523) {G1,W22,D3,L4,V0,M4} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 ! element( skol6( skol7, skol10, skol9 ), the_carrier( skol7 ) ), related
% 1.77/2.18 ( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha2( skol7, skol10,
% 1.77/2.18 skol9 ) }.
% 1.77/2.18 parent1[1]: (713) {G5,W11,D3,L2,V2,M2} R(678,22) { alpha2( skol7, skol10,
% 1.77/2.18 skol9 ), element( skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol10
% 1.77/2.18 Y := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6525) {G2,W15,D3,L3,V0,M3} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha2( skol7,
% 1.77/2.18 skol10, skol9 ) }.
% 1.77/2.18 parent0[2, 3]: (6524) {G2,W19,D3,L4,V0,M4} { alpha6( skol7, skol9, skol10
% 1.77/2.18 ), related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha2( skol7
% 1.77/2.18 , skol10, skol9 ), alpha2( skol7, skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1417) {G6,W15,D3,L3,V0,M3} R(1252,31);r(713) { alpha2( skol7
% 1.77/2.18 , skol10, skol9 ), alpha6( skol7, skol9, skol10 ), related( skol7, skol9
% 1.77/2.18 , skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0: (6525) {G2,W15,D3,L3,V0,M3} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha2( skol7,
% 1.77/2.18 skol10, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 2
% 1.77/2.18 2 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6526) {G1,W15,D2,L3,V6,M3} { alpha5( X, T, Y, Z ), ! alpha3(
% 1.77/2.18 X, Y, U, Z ), alpha5( X, U, W, Z ) }.
% 1.77/2.18 parent0[0]: (26) {G0,W9,D2,L2,V4,M2} I { ! related( X, Z, T ), alpha5( X, Y
% 1.77/2.18 , Z, T ) }.
% 1.77/2.18 parent1[1]: (131) {G1,W14,D2,L3,V5,M3} R(6,25) { ! alpha3( X, Y, Z, T ),
% 1.77/2.18 related( X, Y, T ), alpha5( X, Z, U, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := T
% 1.77/2.18 Z := Y
% 1.77/2.18 T := Z
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := U
% 1.77/2.18 T := Z
% 1.77/2.18 U := W
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1608) {G2,W15,D2,L3,V6,M3} R(131,26) { ! alpha3( X, Y, Z, T )
% 1.77/2.18 , alpha5( X, Z, U, T ), alpha5( X, W, Y, T ) }.
% 1.77/2.18 parent0: (6526) {G1,W15,D2,L3,V6,M3} { alpha5( X, T, Y, Z ), ! alpha3( X,
% 1.77/2.18 Y, U, Z ), alpha5( X, U, W, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := T
% 1.77/2.18 T := W
% 1.77/2.18 U := Z
% 1.77/2.18 W := U
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 2
% 1.77/2.18 1 ==> 0
% 1.77/2.18 2 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6528) {G2,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), alpha5( X, Z
% 1.77/2.18 , Y, T ) }.
% 1.77/2.18 parent0[1, 2]: (1608) {G2,W15,D2,L3,V6,M3} R(131,26) { ! alpha3( X, Y, Z, T
% 1.77/2.18 ), alpha5( X, Z, U, T ), alpha5( X, W, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 U := Y
% 1.77/2.18 W := Z
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1609) {G3,W10,D2,L2,V4,M2} F(1608) { ! alpha3( X, Y, Z, T ),
% 1.77/2.18 alpha5( X, Z, Y, T ) }.
% 1.77/2.18 parent0: (6528) {G2,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), alpha5( X,
% 1.77/2.18 Z, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6529) {G4,W11,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha3( skol7, skol9, skol10, skol6( skol7, skol10, skol9 ) )
% 1.77/2.18 }.
% 1.77/2.18 parent0[1]: (719) {G6,W11,D3,L2,V0,M2} R(714,23) { ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ), ! alpha5( skol7, skol10, skol9, skol6( skol7, skol10,
% 1.77/2.18 skol9 ) ) }.
% 1.77/2.18 parent1[1]: (1609) {G3,W10,D2,L2,V4,M2} F(1608) { ! alpha3( X, Y, Z, T ),
% 1.77/2.18 alpha5( X, Z, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := skol6( skol7, skol10, skol9 )
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1613) {G7,W11,D3,L2,V0,M2} R(1609,719) { ! alpha3( skol7,
% 1.77/2.18 skol9, skol10, skol6( skol7, skol10, skol9 ) ), ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ) }.
% 1.77/2.18 parent0: (6529) {G4,W11,D3,L2,V0,M2} { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.18 ), ! alpha3( skol7, skol9, skol10, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6530) {G1,W12,D3,L2,V3,M2} { alpha4( X, Y, Z ), ! alpha3( X,
% 1.77/2.18 Z, Y, skol6( X, Y, Z ) ) }.
% 1.77/2.18 parent0[0]: (23) {G0,W12,D3,L2,V3,M2} I { ! alpha5( X, Y, Z, skol6( X, Y, Z
% 1.77/2.18 ) ), alpha4( X, Y, Z ) }.
% 1.77/2.18 parent1[1]: (1609) {G3,W10,D2,L2,V4,M2} F(1608) { ! alpha3( X, Y, Z, T ),
% 1.77/2.18 alpha5( X, Z, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Z
% 1.77/2.18 Z := Y
% 1.77/2.18 T := skol6( X, Y, Z )
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1623) {G4,W12,D3,L2,V3,M2} R(1609,23) { ! alpha3( X, Y, Z,
% 1.77/2.18 skol6( X, Z, Y ) ), alpha4( X, Z, Y ) }.
% 1.77/2.18 parent0: (6530) {G1,W12,D3,L2,V3,M2} { alpha4( X, Y, Z ), ! alpha3( X, Z,
% 1.77/2.18 Y, skol6( X, Y, Z ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Z
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6531) {G1,W14,D3,L3,V0,M3} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha1( skol7, skol9, skol10 ), ! element( skol6( skol7,
% 1.77/2.18 skol10, skol9 ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[0]: (1613) {G7,W11,D3,L2,V0,M2} R(1609,719) { ! alpha3( skol7,
% 1.77/2.18 skol9, skol10, skol6( skol7, skol10, skol9 ) ), ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ) }.
% 1.77/2.18 parent1[2]: (3) {G0,W13,D3,L3,V4,M3} I { ! alpha1( X, Y, Z ), ! element( T
% 1.77/2.18 , the_carrier( X ) ), alpha3( X, Y, Z, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := skol6( skol7, skol10, skol9 )
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6532) {G2,W10,D2,L3,V0,M3} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha1( skol7, skol9, skol10 ), ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ) }.
% 1.77/2.18 parent0[2]: (6531) {G1,W14,D3,L3,V0,M3} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha1( skol7, skol9, skol10 ), ! element( skol6( skol7,
% 1.77/2.18 skol10, skol9 ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent1[1]: (723) {G6,W10,D3,L2,V2,M2} R(714,22) { ex_sup_of_relstr_set(
% 1.77/2.18 skol7, skol10 ), element( skol6( skol7, X, Y ), the_carrier( skol7 ) )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol10
% 1.77/2.18 Y := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6533) {G2,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol7, skol10 )
% 1.77/2.18 , ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0, 2]: (6532) {G2,W10,D2,L3,V0,M3} { ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ), ! alpha1( skol7, skol9, skol10 ), ex_sup_of_relstr_set( skol7,
% 1.77/2.18 skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1678) {G8,W7,D2,L2,V0,M2} R(1613,3);r(723) {
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 }.
% 1.77/2.18 parent0: (6533) {G2,W7,D2,L2,V0,M2} { ex_sup_of_relstr_set( skol7, skol10
% 1.77/2.18 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6534) {G4,W12,D2,L3,V0,M3} { ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 , alpha8( skol7, skol9, skol10 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (1168) {G3,W11,D2,L3,V0,M3} R(944,34) { ! ex_sup_of_relstr_set
% 1.77/2.18 ( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 ), alpha8( skol7, skol9
% 1.77/2.18 , skol10 ) }.
% 1.77/2.18 parent1[0]: (1678) {G8,W7,D2,L2,V0,M2} R(1613,3);r(723) {
% 1.77/2.18 ex_sup_of_relstr_set( skol7, skol10 ), ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6535) {G4,W8,D2,L2,V0,M2} { ! alpha1( skol7, skol9, skol10 ),
% 1.77/2.18 alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0, 2]: (6534) {G4,W12,D2,L3,V0,M3} { ! alpha1( skol7, skol9,
% 1.77/2.18 skol10 ), alpha8( skol7, skol9, skol10 ), ! alpha1( skol7, skol9, skol10
% 1.77/2.18 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1683) {G9,W8,D2,L2,V0,M2} R(1678,1168);f { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0: (6535) {G4,W8,D2,L2,V0,M2} { ! alpha1( skol7, skol9, skol10 ),
% 1.77/2.18 alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6536) {G6,W11,D3,L2,V1,M2} { relstr_set_smaller( skol7,
% 1.77/2.18 skol10, skol8( skol7, X, skol10 ) ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (700) {G5,W11,D3,L2,V1,M2} R(676,40) { ! alpha8( skol7, skol9,
% 1.77/2.18 skol10 ), relstr_set_smaller( skol7, skol10, skol8( skol7, X, skol10 ) )
% 1.77/2.18 }.
% 1.77/2.18 parent1[1]: (1683) {G9,W8,D2,L2,V0,M2} R(1678,1168);f { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1715) {G10,W11,D3,L2,V1,M2} R(1683,700) { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), relstr_set_smaller( skol7, skol10, skol8( skol7, X,
% 1.77/2.18 skol10 ) ) }.
% 1.77/2.18 parent0: (6536) {G6,W11,D3,L2,V1,M2} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol8( skol7, X, skol10 ) ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6537) {G6,W11,D3,L2,V2,M2} { element( skol8( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (701) {G5,W11,D3,L2,V2,M2} R(676,39) { ! alpha8( skol7, skol9,
% 1.77/2.18 skol10 ), element( skol8( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent1[1]: (1683) {G9,W8,D2,L2,V0,M2} R(1678,1168);f { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1716) {G10,W11,D3,L2,V2,M2} R(1683,701) { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), element( skol8( skol7, X, Y ), the_carrier( skol7 ) )
% 1.77/2.18 }.
% 1.77/2.18 parent0: (6537) {G6,W11,D3,L2,V2,M2} { element( skol8( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6538) {G2,W17,D2,L5,V3,M5} { ! alpha7( skol7, X, Y ), !
% 1.77/2.18 rel_str( skol7 ), ! ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y
% 1.77/2.18 ), ! alpha7( skol7, X, Z ) }.
% 1.77/2.18 parent0[2]: (142) {G1,W17,D3,L5,V3,M5} R(43,1) { ! alpha7( X, Y, Z ), !
% 1.77/2.18 rel_str( X ), ! element( Y, the_carrier( X ) ), ! ex_sup_of_relstr_set( X
% 1.77/2.18 , Z ), alpha1( X, Y, Z ) }.
% 1.77/2.18 parent1[0]: (147) {G2,W8,D3,L2,V2,M2} P(43,115) { element( Y, the_carrier(
% 1.77/2.18 skol7 ) ), ! alpha7( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := Z
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6541) {G1,W15,D2,L4,V3,M4} { ! alpha7( skol7, X, Y ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ), ! alpha7( skol7
% 1.77/2.18 , X, Z ) }.
% 1.77/2.18 parent0[1]: (6538) {G2,W17,D2,L5,V3,M5} { ! alpha7( skol7, X, Y ), !
% 1.77/2.18 rel_str( skol7 ), ! ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y
% 1.77/2.18 ), ! alpha7( skol7, X, Z ) }.
% 1.77/2.18 parent1[0]: (28) {G0,W2,D2,L1,V0,M1} I { rel_str( skol7 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1876) {G3,W15,D2,L4,V3,M4} R(142,147);r(28) { ! alpha7( skol7
% 1.77/2.18 , X, Y ), ! ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ), !
% 1.77/2.18 alpha7( skol7, X, Z ) }.
% 1.77/2.18 parent0: (6541) {G1,W15,D2,L4,V3,M4} { ! alpha7( skol7, X, Y ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ), ! alpha7( skol7
% 1.77/2.18 , X, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 3 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6543) {G3,W11,D2,L3,V2,M3} { ! alpha7( skol7, X, Y ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ) }.
% 1.77/2.18 parent0[0, 3]: (1876) {G3,W15,D2,L4,V3,M4} R(142,147);r(28) { ! alpha7(
% 1.77/2.18 skol7, X, Y ), ! ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y )
% 1.77/2.18 , ! alpha7( skol7, X, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (1879) {G4,W11,D2,L3,V2,M3} F(1876) { ! alpha7( skol7, X, Y )
% 1.77/2.18 , ! ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ) }.
% 1.77/2.18 parent0: (6543) {G3,W11,D2,L3,V2,M3} { ! alpha7( skol7, X, Y ), !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6544) {G1,W12,D2,L3,V3,M3} { ! alpha7( skol7, X, Y ), alpha1
% 1.77/2.18 ( skol7, X, Y ), ! alpha7( skol7, Z, Y ) }.
% 1.77/2.18 parent0[1]: (1879) {G4,W11,D2,L3,V2,M3} F(1876) { ! alpha7( skol7, X, Y ),
% 1.77/2.18 ! ex_sup_of_relstr_set( skol7, Y ), alpha1( skol7, X, Y ) }.
% 1.77/2.18 parent1[1]: (44) {G0,W7,D2,L2,V3,M2} I { ! alpha7( X, Y, Z ),
% 1.77/2.18 ex_sup_of_relstr_set( X, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := Z
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2071) {G5,W12,D2,L3,V3,M3} R(1879,44) { ! alpha7( skol7, X, Y
% 1.77/2.18 ), alpha1( skol7, X, Y ), ! alpha7( skol7, Z, Y ) }.
% 1.77/2.18 parent0: (6544) {G1,W12,D2,L3,V3,M3} { ! alpha7( skol7, X, Y ), alpha1(
% 1.77/2.18 skol7, X, Y ), ! alpha7( skol7, Z, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6546) {G5,W8,D2,L2,V2,M2} { ! alpha7( skol7, X, Y ), alpha1(
% 1.77/2.18 skol7, X, Y ) }.
% 1.77/2.18 parent0[0, 2]: (2071) {G5,W12,D2,L3,V3,M3} R(1879,44) { ! alpha7( skol7, X
% 1.77/2.18 , Y ), alpha1( skol7, X, Y ), ! alpha7( skol7, Z, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2072) {G6,W8,D2,L2,V2,M2} F(2071) { ! alpha7( skol7, X, Y ),
% 1.77/2.18 alpha1( skol7, X, Y ) }.
% 1.77/2.18 parent0: (6546) {G5,W8,D2,L2,V2,M2} { ! alpha7( skol7, X, Y ), alpha1(
% 1.77/2.18 skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6547) {G1,W8,D2,L2,V2,M2} { alpha1( skol7, X, Y ), ! alpha6(
% 1.77/2.18 skol7, X, Y ) }.
% 1.77/2.18 parent0[0]: (2072) {G6,W8,D2,L2,V2,M2} F(2071) { ! alpha7( skol7, X, Y ),
% 1.77/2.18 alpha1( skol7, X, Y ) }.
% 1.77/2.18 parent1[1]: (33) {G0,W8,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha7( X, Y
% 1.77/2.18 , Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2080) {G7,W8,D2,L2,V2,M2} R(2072,33) { alpha1( skol7, X, Y )
% 1.77/2.18 , ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 parent0: (6547) {G1,W8,D2,L2,V2,M2} { alpha1( skol7, X, Y ), ! alpha6(
% 1.77/2.18 skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6548) {G2,W22,D3,L4,V2,M4} { related( skol7, Y, skol8( skol7
% 1.77/2.18 , X, skol10 ) ), ! alpha1( skol7, Y, skol10 ), ! element( skol8( skol7, X
% 1.77/2.18 , skol10 ), the_carrier( skol7 ) ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (137) {G1,W16,D3,L4,V4,M4} R(6,3) { ! relstr_set_smaller( X, Y
% 1.77/2.18 , Z ), related( X, T, Z ), ! alpha1( X, T, Y ), ! element( Z, the_carrier
% 1.77/2.18 ( X ) ) }.
% 1.77/2.18 parent1[1]: (1715) {G10,W11,D3,L2,V1,M2} R(1683,700) { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), relstr_set_smaller( skol7, skol10, skol8( skol7, X,
% 1.77/2.18 skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol8( skol7, X, skol10 )
% 1.77/2.18 T := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6552) {G3,W19,D3,L4,V2,M4} { related( skol7, X, skol8( skol7
% 1.77/2.18 , Y, skol10 ) ), ! alpha1( skol7, X, skol10 ), ! alpha1( skol7, skol9,
% 1.77/2.18 skol10 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[2]: (6548) {G2,W22,D3,L4,V2,M4} { related( skol7, Y, skol8( skol7
% 1.77/2.18 , X, skol10 ) ), ! alpha1( skol7, Y, skol10 ), ! element( skol8( skol7, X
% 1.77/2.18 , skol10 ), the_carrier( skol7 ) ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent1[1]: (1716) {G10,W11,D3,L2,V2,M2} R(1683,701) { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), element( skol8( skol7, X, Y ), the_carrier( skol7 ) )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6554) {G3,W15,D3,L3,V2,M3} { related( skol7, X, skol8( skol7, Y,
% 1.77/2.18 skol10 ) ), ! alpha1( skol7, X, skol10 ), ! alpha1( skol7, skol9, skol10
% 1.77/2.18 ) }.
% 1.77/2.18 parent0[2, 3]: (6552) {G3,W19,D3,L4,V2,M4} { related( skol7, X, skol8(
% 1.77/2.18 skol7, Y, skol10 ) ), ! alpha1( skol7, X, skol10 ), ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2683) {G11,W15,D3,L3,V2,M3} R(1715,137);r(1716) { ! alpha1(
% 1.77/2.18 skol7, skol9, skol10 ), related( skol7, X, skol8( skol7, Y, skol10 ) ), !
% 1.77/2.18 alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 parent0: (6554) {G3,W15,D3,L3,V2,M3} { related( skol7, X, skol8( skol7, Y
% 1.77/2.18 , skol10 ) ), ! alpha1( skol7, X, skol10 ), ! alpha1( skol7, skol9,
% 1.77/2.18 skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 2
% 1.77/2.18 2 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6556) {G11,W11,D3,L2,V1,M2} { ! alpha1( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 parent0[0, 2]: (2683) {G11,W15,D3,L3,V2,M3} R(1715,137);r(1716) { ! alpha1
% 1.77/2.18 ( skol7, skol9, skol10 ), related( skol7, X, skol8( skol7, Y, skol10 ) )
% 1.77/2.18 , ! alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol9
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2688) {G12,W11,D3,L2,V1,M2} F(2683) { ! alpha1( skol7, skol9
% 1.77/2.18 , skol10 ), related( skol7, skol9, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 parent0: (6556) {G11,W11,D3,L2,V1,M2} { ! alpha1( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6557) {G6,W8,D2,L2,V0,M2} { ! alpha8( skol7, skol9, skol10 )
% 1.77/2.18 , ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[1]: (699) {G5,W11,D3,L2,V0,M2} R(676,41) { ! alpha8( skol7, skol9,
% 1.77/2.18 skol10 ), ! related( skol7, skol9, skol8( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent1[1]: (2688) {G12,W11,D3,L2,V1,M2} F(2683) { ! alpha1( skol7, skol9,
% 1.77/2.18 skol10 ), related( skol7, skol9, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6558) {G7,W8,D2,L2,V0,M2} { ! alpha1( skol7, skol9, skol10 )
% 1.77/2.18 , ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0]: (6557) {G6,W8,D2,L2,V0,M2} { ! alpha8( skol7, skol9, skol10 )
% 1.77/2.18 , ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent1[1]: (1683) {G9,W8,D2,L2,V0,M2} R(1678,1168);f { ! alpha1( skol7,
% 1.77/2.18 skol9, skol10 ), alpha8( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6559) {G7,W4,D2,L1,V0,M1} { ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0[0, 1]: (6558) {G7,W8,D2,L2,V0,M2} { ! alpha1( skol7, skol9, skol10
% 1.77/2.18 ), ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2691) {G13,W4,D2,L1,V0,M1} R(2688,699);r(1683) { ! alpha1(
% 1.77/2.18 skol7, skol9, skol10 ) }.
% 1.77/2.18 parent0: (6559) {G7,W4,D2,L1,V0,M1} { ! alpha1( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6560) {G2,W7,D3,L1,V0,M1} { ! related( skol7, skol9, skol1(
% 1.77/2.18 skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0[0]: (2691) {G13,W4,D2,L1,V0,M1} R(2688,699);r(1683) { ! alpha1(
% 1.77/2.18 skol7, skol9, skol10 ) }.
% 1.77/2.18 parent1[1]: (123) {G1,W11,D3,L2,V3,M2} R(8,5) { ! related( X, Y, skol1( X,
% 1.77/2.18 Y, Z ) ), alpha1( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2703) {G14,W7,D3,L1,V0,M1} R(2691,123) { ! related( skol7,
% 1.77/2.18 skol9, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0: (6560) {G2,W7,D3,L1,V0,M1} { ! related( skol7, skol9, skol1(
% 1.77/2.18 skol7, skol9, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6561) {G2,W7,D3,L1,V0,M1} { relstr_set_smaller( skol7, skol10
% 1.77/2.18 , skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0[0]: (2691) {G13,W4,D2,L1,V0,M1} R(2688,699);r(1683) { ! alpha1(
% 1.77/2.18 skol7, skol9, skol10 ) }.
% 1.77/2.18 parent1[1]: (124) {G1,W11,D3,L2,V3,M2} R(7,5) { relstr_set_smaller( X, Y,
% 1.77/2.18 skol1( X, Z, Y ) ), alpha1( X, Z, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2704) {G14,W7,D3,L1,V0,M1} R(2691,124) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0: (6561) {G2,W7,D3,L1,V0,M1} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6562) {G1,W8,D3,L1,V0,M1} { ! alpha3( skol7, skol9, skol10,
% 1.77/2.18 skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0[0]: (2691) {G13,W4,D2,L1,V0,M1} R(2688,699);r(1683) { ! alpha1(
% 1.77/2.18 skol7, skol9, skol10 ) }.
% 1.77/2.18 parent1[1]: (5) {G0,W12,D3,L2,V3,M2} I { ! alpha3( X, Y, Z, skol1( X, Y, Z
% 1.77/2.18 ) ), alpha1( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2707) {G14,W8,D3,L1,V0,M1} R(2691,5) { ! alpha3( skol7, skol9
% 1.77/2.18 , skol10, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0: (6562) {G1,W8,D3,L1,V0,M1} { ! alpha3( skol7, skol9, skol10,
% 1.77/2.18 skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6563) {G1,W7,D3,L1,V2,M1} { element( skol1( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[0]: (2691) {G13,W4,D2,L1,V0,M1} R(2688,699);r(1683) { ! alpha1(
% 1.77/2.18 skol7, skol9, skol10 ) }.
% 1.77/2.18 parent1[1]: (4) {G0,W11,D3,L2,V5,M2} I { element( skol1( X, T, U ),
% 1.77/2.18 the_carrier( X ) ), alpha1( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := X
% 1.77/2.18 U := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2708) {G14,W7,D3,L1,V2,M1} R(2691,4) { element( skol1( skol7
% 1.77/2.18 , X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0: (6563) {G1,W7,D3,L1,V2,M1} { element( skol1( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6564) {G1,W12,D3,L2,V4,M2} { ! alpha4( skol7, X, Y ), alpha5
% 1.77/2.18 ( skol7, X, Y, skol1( skol7, Z, T ) ) }.
% 1.77/2.18 parent0[1]: (21) {G0,W13,D3,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! element( T
% 1.77/2.18 , the_carrier( X ) ), alpha5( X, Y, Z, T ) }.
% 1.77/2.18 parent1[0]: (2708) {G14,W7,D3,L1,V2,M1} R(2691,4) { element( skol1( skol7,
% 1.77/2.18 X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 T := skol1( skol7, Z, T )
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := Z
% 1.77/2.18 Y := T
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2712) {G15,W12,D3,L2,V4,M2} R(2708,21) { ! alpha4( skol7, X,
% 1.77/2.18 Y ), alpha5( skol7, X, Y, skol1( skol7, Z, T ) ) }.
% 1.77/2.18 parent0: (6564) {G1,W12,D3,L2,V4,M2} { ! alpha4( skol7, X, Y ), alpha5(
% 1.77/2.18 skol7, X, Y, skol1( skol7, Z, T ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6565) {G1,W18,D3,L3,V1,M3} { ! element( skol1( skol7, skol9,
% 1.77/2.18 skol10 ), the_carrier( skol7 ) ), related( skol7, X, skol1( skol7, skol9
% 1.77/2.18 , skol10 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[1]: (42) {G0,W16,D3,L4,V4,M4} I { ! element( T, the_carrier( X ) )
% 1.77/2.18 , ! relstr_set_smaller( X, Z, T ), related( X, Y, T ), alpha9( X, Y, Z )
% 1.77/2.18 }.
% 1.77/2.18 parent1[0]: (2704) {G14,W7,D3,L1,V0,M1} R(2691,124) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := skol1( skol7, skol9, skol10 )
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6566) {G2,W11,D3,L2,V1,M2} { related( skol7, X, skol1( skol7
% 1.77/2.18 , skol9, skol10 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[0]: (6565) {G1,W18,D3,L3,V1,M3} { ! element( skol1( skol7, skol9,
% 1.77/2.18 skol10 ), the_carrier( skol7 ) ), related( skol7, X, skol1( skol7, skol9
% 1.77/2.18 , skol10 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent1[0]: (2708) {G14,W7,D3,L1,V2,M1} R(2691,4) { element( skol1( skol7,
% 1.77/2.18 X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol9
% 1.77/2.18 Y := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (2755) {G15,W11,D3,L2,V1,M2} R(2704,42);r(2708) { related(
% 1.77/2.18 skol7, X, skol1( skol7, skol9, skol10 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent0: (6566) {G2,W11,D3,L2,V1,M2} { related( skol7, X, skol1( skol7,
% 1.77/2.18 skol9, skol10 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6567) {G15,W4,D2,L1,V0,M1} { alpha9( skol7, skol9, skol10 )
% 1.77/2.18 }.
% 1.77/2.18 parent0[0]: (2703) {G14,W7,D3,L1,V0,M1} R(2691,123) { ! related( skol7,
% 1.77/2.18 skol9, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent1[0]: (2755) {G15,W11,D3,L2,V1,M2} R(2704,42);r(2708) { related(
% 1.77/2.18 skol7, X, skol1( skol7, skol9, skol10 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (3020) {G16,W4,D2,L1,V0,M1} R(2755,2703) { alpha9( skol7,
% 1.77/2.18 skol9, skol10 ) }.
% 1.77/2.18 parent0: (6567) {G15,W4,D2,L1,V0,M1} { alpha9( skol7, skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6568) {G1,W7,D3,L1,V1,M1} { relstr_set_smaller( skol7, skol10
% 1.77/2.18 , skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 parent0[0]: (40) {G0,W11,D3,L2,V4,M2} I { ! alpha9( X, Y, Z ),
% 1.77/2.18 relstr_set_smaller( X, Z, skol8( X, T, Z ) ) }.
% 1.77/2.18 parent1[0]: (3020) {G16,W4,D2,L1,V0,M1} R(2755,2703) { alpha9( skol7, skol9
% 1.77/2.18 , skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (3028) {G17,W7,D3,L1,V1,M1} R(3020,40) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 parent0: (6568) {G1,W7,D3,L1,V1,M1} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6569) {G1,W7,D3,L1,V2,M1} { element( skol8( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[0]: (39) {G0,W11,D3,L2,V5,M2} I { ! alpha9( X, Y, Z ), element(
% 1.77/2.18 skol8( X, T, U ), the_carrier( X ) ) }.
% 1.77/2.18 parent1[0]: (3020) {G16,W4,D2,L1,V0,M1} R(2755,2703) { alpha9( skol7, skol9
% 1.77/2.18 , skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := X
% 1.77/2.18 U := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (3029) {G17,W7,D3,L1,V2,M1} R(3020,39) { element( skol8( skol7
% 1.77/2.18 , X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0: (6569) {G1,W7,D3,L1,V2,M1} { element( skol8( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6570) {G2,W18,D3,L3,V2,M3} { related( skol7, Y, skol8( skol7
% 1.77/2.18 , X, skol10 ) ), ! alpha1( skol7, Y, skol10 ), ! element( skol8( skol7, X
% 1.77/2.18 , skol10 ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[0]: (137) {G1,W16,D3,L4,V4,M4} R(6,3) { ! relstr_set_smaller( X, Y
% 1.77/2.18 , Z ), related( X, T, Z ), ! alpha1( X, T, Y ), ! element( Z, the_carrier
% 1.77/2.18 ( X ) ) }.
% 1.77/2.18 parent1[0]: (3028) {G17,W7,D3,L1,V1,M1} R(3020,40) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol8( skol7, X, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol8( skol7, X, skol10 )
% 1.77/2.18 T := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6571) {G3,W11,D3,L2,V2,M2} { related( skol7, X, skol8( skol7
% 1.77/2.18 , Y, skol10 ) ), ! alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[2]: (6570) {G2,W18,D3,L3,V2,M3} { related( skol7, Y, skol8( skol7
% 1.77/2.18 , X, skol10 ) ), ! alpha1( skol7, Y, skol10 ), ! element( skol8( skol7, X
% 1.77/2.18 , skol10 ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent1[0]: (3029) {G17,W7,D3,L1,V2,M1} R(3020,39) { element( skol8( skol7
% 1.77/2.18 , X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (3052) {G18,W11,D3,L2,V2,M2} R(3028,137);r(3029) { related(
% 1.77/2.18 skol7, X, skol8( skol7, Y, skol10 ) ), ! alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 parent0: (6571) {G3,W11,D3,L2,V2,M2} { related( skol7, X, skol8( skol7, Y
% 1.77/2.18 , skol10 ) ), ! alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6572) {G8,W8,D2,L2,V1,M2} { ! alpha6( skol7, X, skol10 ), !
% 1.77/2.18 alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[1]: (856) {G7,W11,D3,L2,V2,M2} R(851,41) { ! alpha6( skol7, X, Y )
% 1.77/2.18 , ! related( skol7, X, skol8( skol7, X, Y ) ) }.
% 1.77/2.18 parent1[0]: (3052) {G18,W11,D3,L2,V2,M2} R(3028,137);r(3029) { related(
% 1.77/2.18 skol7, X, skol8( skol7, Y, skol10 ) ), ! alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := skol10
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6573) {G8,W8,D2,L2,V1,M2} { ! alpha6( skol7, X, skol10 ), !
% 1.77/2.18 alpha6( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[1]: (6572) {G8,W8,D2,L2,V1,M2} { ! alpha6( skol7, X, skol10 ), !
% 1.77/2.18 alpha1( skol7, X, skol10 ) }.
% 1.77/2.18 parent1[0]: (2080) {G7,W8,D2,L2,V2,M2} R(2072,33) { alpha1( skol7, X, Y ),
% 1.77/2.18 ! alpha6( skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6574) {G8,W4,D2,L1,V1,M1} { ! alpha6( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[0, 1]: (6573) {G8,W8,D2,L2,V1,M2} { ! alpha6( skol7, X, skol10 ),
% 1.77/2.18 ! alpha6( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (3120) {G19,W4,D2,L1,V1,M1} R(3052,856);r(2080) { ! alpha6(
% 1.77/2.18 skol7, X, skol10 ) }.
% 1.77/2.18 parent0: (6574) {G8,W4,D2,L1,V1,M1} { ! alpha6( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6575) {G2,W12,D2,L3,V5,M3} { alpha4( X, Z, Y ), alpha4( X, T
% 1.77/2.18 , U ), ! alpha1( X, Y, Z ) }.
% 1.77/2.18 parent0[0]: (1623) {G4,W12,D3,L2,V3,M2} R(1609,23) { ! alpha3( X, Y, Z,
% 1.77/2.18 skol6( X, Z, Y ) ), alpha4( X, Z, Y ) }.
% 1.77/2.18 parent1[2]: (368) {G1,W16,D3,L3,V7,M3} R(22,3) { alpha4( X, Y, Z ), !
% 1.77/2.18 alpha1( X, T, U ), alpha3( X, T, U, skol6( X, W, V0 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := T
% 1.77/2.18 Z := U
% 1.77/2.18 T := Y
% 1.77/2.18 U := Z
% 1.77/2.18 W := Z
% 1.77/2.18 V0 := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4002) {G5,W12,D2,L3,V5,M3} R(368,1623) { alpha4( X, Y, Z ), !
% 1.77/2.18 alpha1( X, T, U ), alpha4( X, U, T ) }.
% 1.77/2.18 parent0: (6575) {G2,W12,D2,L3,V5,M3} { alpha4( X, Z, Y ), alpha4( X, T, U
% 1.77/2.18 ), ! alpha1( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := T
% 1.77/2.18 Z := U
% 1.77/2.18 T := Y
% 1.77/2.18 U := Z
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 2
% 1.77/2.18 1 ==> 0
% 1.77/2.18 2 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6577) {G5,W8,D2,L2,V3,M2} { alpha4( X, Y, Z ), ! alpha1( X, Z, Y
% 1.77/2.18 ) }.
% 1.77/2.18 parent0[0, 2]: (4002) {G5,W12,D2,L3,V5,M3} R(368,1623) { alpha4( X, Y, Z )
% 1.77/2.18 , ! alpha1( X, T, U ), alpha4( X, U, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := Z
% 1.77/2.18 U := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4003) {G6,W8,D2,L2,V3,M2} F(4002) { alpha4( X, Y, Z ), !
% 1.77/2.18 alpha1( X, Z, Y ) }.
% 1.77/2.18 parent0: (6577) {G5,W8,D2,L2,V3,M2} { alpha4( X, Y, Z ), ! alpha1( X, Z, Y
% 1.77/2.18 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6578) {G4,W11,D2,L3,V1,M3} { ex_sup_of_relstr_set( skol7, X )
% 1.77/2.18 , ! relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X )
% 1.77/2.18 }.
% 1.77/2.18 parent0[2]: (279) {G3,W11,D2,L3,V1,M3} R(278,20) { ex_sup_of_relstr_set(
% 1.77/2.18 skol7, X ), ! relstr_set_smaller( skol7, X, skol9 ), ! alpha4( skol7, X,
% 1.77/2.18 skol9 ) }.
% 1.77/2.18 parent1[0]: (4003) {G6,W8,D2,L2,V3,M2} F(4002) { alpha4( X, Y, Z ), !
% 1.77/2.18 alpha1( X, Z, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4022) {G7,W11,D2,L3,V1,M3} R(4003,279) { ! alpha1( skol7,
% 1.77/2.18 skol9, X ), ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7
% 1.77/2.18 , X, skol9 ) }.
% 1.77/2.18 parent0: (6578) {G4,W11,D2,L3,V1,M3} { ex_sup_of_relstr_set( skol7, X ), !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 2
% 1.77/2.18 2 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6580) {G2,W21,D3,L5,V1,M5} { ! relstr_set_smaller( skol7, X,
% 1.77/2.18 skol9 ), ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==>
% 1.77/2.18 skol9, ! alpha1( skol7, skol9, X ), ! relstr_set_smaller( skol7, X, skol9
% 1.77/2.18 ) }.
% 1.77/2.18 parent0[0]: (69) {G1,W16,D3,L4,V1,M4} R(2,29);r(28) { !
% 1.77/2.18 ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7, X, skol9 )
% 1.77/2.18 , ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==> skol9 }.
% 1.77/2.18 parent1[1]: (4022) {G7,W11,D2,L3,V1,M3} R(4003,279) { ! alpha1( skol7,
% 1.77/2.18 skol9, X ), ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7
% 1.77/2.18 , X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6584) {G2,W17,D3,L4,V1,M4} { ! relstr_set_smaller( skol7, X,
% 1.77/2.18 skol9 ), ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==>
% 1.77/2.18 skol9, ! alpha1( skol7, skol9, X ) }.
% 1.77/2.18 parent0[0, 4]: (6580) {G2,W21,D3,L5,V1,M5} { ! relstr_set_smaller( skol7,
% 1.77/2.18 X, skol9 ), ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==>
% 1.77/2.18 skol9, ! alpha1( skol7, skol9, X ), ! relstr_set_smaller( skol7, X, skol9
% 1.77/2.18 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6585) {G2,W13,D3,L3,V1,M3} { ! relstr_set_smaller( skol7, X,
% 1.77/2.18 skol9 ), ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==>
% 1.77/2.18 skol9 }.
% 1.77/2.18 parent0[1, 3]: (6584) {G2,W17,D3,L4,V1,M4} { ! relstr_set_smaller( skol7,
% 1.77/2.18 X, skol9 ), ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==>
% 1.77/2.18 skol9, ! alpha1( skol7, skol9, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4036) {G8,W13,D3,L3,V1,M3} S(69);r(4022) { !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ),
% 1.77/2.18 join_on_relstr( skol7, X ) ==> skol9 }.
% 1.77/2.18 parent0: (6585) {G2,W13,D3,L3,V1,M3} { ! relstr_set_smaller( skol7, X,
% 1.77/2.18 skol9 ), ! alpha1( skol7, skol9, X ), join_on_relstr( skol7, X ) ==>
% 1.77/2.18 skol9 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6587) {G2,W14,D3,L3,V1,M3} { alpha7( skol7, join_on_relstr(
% 1.77/2.18 skol7, X ), X ), ! alpha1( skol7, skol9, X ), ! relstr_set_smaller( skol7
% 1.77/2.18 , X, skol9 ) }.
% 1.77/2.18 parent0[0]: (48) {G1,W9,D3,L2,V2,M2} Q(45) { ! ex_sup_of_relstr_set( X, Y )
% 1.77/2.18 , alpha7( X, join_on_relstr( X, Y ), Y ) }.
% 1.77/2.18 parent1[1]: (4022) {G7,W11,D2,L3,V1,M3} R(4003,279) { ! alpha1( skol7,
% 1.77/2.18 skol9, X ), ex_sup_of_relstr_set( skol7, X ), ! relstr_set_smaller( skol7
% 1.77/2.18 , X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 paramod: (6588) {G3,W20,D2,L5,V1,M5} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ), !
% 1.77/2.18 alpha1( skol7, skol9, X ), ! relstr_set_smaller( skol7, X, skol9 ) }.
% 1.77/2.18 parent0[2]: (4036) {G8,W13,D3,L3,V1,M3} S(69);r(4022) { !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ),
% 1.77/2.18 join_on_relstr( skol7, X ) ==> skol9 }.
% 1.77/2.18 parent1[0; 2]: (6587) {G2,W14,D3,L3,V1,M3} { alpha7( skol7, join_on_relstr
% 1.77/2.18 ( skol7, X ), X ), ! alpha1( skol7, skol9, X ), ! relstr_set_smaller(
% 1.77/2.18 skol7, X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6589) {G3,W16,D2,L4,V1,M4} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ), !
% 1.77/2.18 alpha1( skol7, skol9, X ) }.
% 1.77/2.18 parent0[1, 4]: (6588) {G3,W20,D2,L5,V1,M5} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ), !
% 1.77/2.18 alpha1( skol7, skol9, X ), ! relstr_set_smaller( skol7, X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6590) {G3,W12,D2,L3,V1,M3} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.18 parent0[2, 3]: (6589) {G3,W16,D2,L4,V1,M4} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ), !
% 1.77/2.18 alpha1( skol7, skol9, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4214) {G9,W12,D2,L3,V1,M3} R(4022,48);d(4036) { ! alpha1(
% 1.77/2.18 skol7, skol9, X ), ! relstr_set_smaller( skol7, X, skol9 ), alpha7( skol7
% 1.77/2.18 , skol9, X ) }.
% 1.77/2.18 parent0: (6590) {G3,W12,D2,L3,V1,M3} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 relstr_set_smaller( skol7, X, skol9 ), ! alpha1( skol7, skol9, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 2
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6591) {G1,W12,D2,L3,V1,M3} { ! alpha1( skol7, skol9, X ),
% 1.77/2.18 alpha7( skol7, skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 parent0[1]: (4214) {G9,W12,D2,L3,V1,M3} R(4022,48);d(4036) { ! alpha1(
% 1.77/2.18 skol7, skol9, X ), ! relstr_set_smaller( skol7, X, skol9 ), alpha7( skol7
% 1.77/2.18 , skol9, X ) }.
% 1.77/2.18 parent1[1]: (18) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ),
% 1.77/2.18 relstr_set_smaller( X, Y, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4304) {G10,W12,D2,L3,V1,M3} R(4214,18) { ! alpha1( skol7,
% 1.77/2.18 skol9, X ), alpha7( skol7, skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 parent0: (6591) {G1,W12,D2,L3,V1,M3} { ! alpha1( skol7, skol9, X ), alpha7
% 1.77/2.18 ( skol7, skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 2 ==> 2
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6592) {G1,W15,D2,L3,V6,M3} { alpha3( X, Y, T, Z ), ! alpha5(
% 1.77/2.18 X, U, Y, Z ), alpha3( X, W, U, Z ) }.
% 1.77/2.18 parent0[0]: (8) {G0,W9,D2,L2,V4,M2} I { ! related( X, Y, T ), alpha3( X, Y
% 1.77/2.18 , Z, T ) }.
% 1.77/2.18 parent1[1]: (421) {G1,W14,D2,L3,V5,M3} R(24,7) { ! alpha5( X, Y, Z, T ),
% 1.77/2.18 related( X, Z, T ), alpha3( X, U, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := T
% 1.77/2.18 T := Z
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := U
% 1.77/2.18 Z := Y
% 1.77/2.18 T := Z
% 1.77/2.18 U := W
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4416) {G2,W15,D2,L3,V6,M3} R(421,8) { ! alpha5( X, Y, Z, T )
% 1.77/2.18 , alpha3( X, U, Y, T ), alpha3( X, Z, W, T ) }.
% 1.77/2.18 parent0: (6592) {G1,W15,D2,L3,V6,M3} { alpha3( X, Y, T, Z ), ! alpha5( X,
% 1.77/2.18 U, Y, Z ), alpha3( X, W, U, Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Z
% 1.77/2.18 Z := T
% 1.77/2.18 T := W
% 1.77/2.18 U := Y
% 1.77/2.18 W := U
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 2
% 1.77/2.18 1 ==> 0
% 1.77/2.18 2 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6594) {G2,W10,D2,L2,V4,M2} { ! alpha5( X, Y, Z, T ), alpha3( X, Z
% 1.77/2.18 , Y, T ) }.
% 1.77/2.18 parent0[1, 2]: (4416) {G2,W15,D2,L3,V6,M3} R(421,8) { ! alpha5( X, Y, Z, T
% 1.77/2.18 ), alpha3( X, U, Y, T ), alpha3( X, Z, W, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 U := Z
% 1.77/2.18 W := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4418) {G3,W10,D2,L2,V4,M2} F(4416) { ! alpha5( X, Y, Z, T ),
% 1.77/2.18 alpha3( X, Z, Y, T ) }.
% 1.77/2.18 parent0: (6594) {G2,W10,D2,L2,V4,M2} { ! alpha5( X, Y, Z, T ), alpha3( X,
% 1.77/2.18 Z, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6595) {G4,W12,D3,L2,V4,M2} { alpha3( skol7, Y, X, skol1(
% 1.77/2.18 skol7, Z, T ) ), ! alpha4( skol7, X, Y ) }.
% 1.77/2.18 parent0[0]: (4418) {G3,W10,D2,L2,V4,M2} F(4416) { ! alpha5( X, Y, Z, T ),
% 1.77/2.18 alpha3( X, Z, Y, T ) }.
% 1.77/2.18 parent1[1]: (2712) {G15,W12,D3,L2,V4,M2} R(2708,21) { ! alpha4( skol7, X, Y
% 1.77/2.18 ), alpha5( skol7, X, Y, skol1( skol7, Z, T ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 T := skol1( skol7, Z, T )
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4426) {G16,W12,D3,L2,V4,M2} R(4418,2712) { alpha3( skol7, X,
% 1.77/2.18 Y, skol1( skol7, Z, T ) ), ! alpha4( skol7, Y, X ) }.
% 1.77/2.18 parent0: (6595) {G4,W12,D3,L2,V4,M2} { alpha3( skol7, Y, X, skol1( skol7,
% 1.77/2.18 Z, T ) ), ! alpha4( skol7, X, Y ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Z
% 1.77/2.18 T := T
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6596) {G4,W8,D3,L1,V0,M1} { ! alpha5( skol7, skol10, skol9,
% 1.77/2.18 skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0[0]: (2707) {G14,W8,D3,L1,V0,M1} R(2691,5) { ! alpha3( skol7, skol9
% 1.77/2.18 , skol10, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent1[1]: (4418) {G3,W10,D2,L2,V4,M2} F(4416) { ! alpha5( X, Y, Z, T ),
% 1.77/2.18 alpha3( X, Z, Y, T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 T := skol1( skol7, skol9, skol10 )
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4437) {G15,W8,D3,L1,V0,M1} R(4418,2707) { ! alpha5( skol7,
% 1.77/2.18 skol10, skol9, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent0: (6596) {G4,W8,D3,L1,V0,M1} { ! alpha5( skol7, skol10, skol9,
% 1.77/2.18 skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6597) {G2,W14,D3,L2,V2,M2} { element( skol6( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ), ! element( skol1( skol7, skol9, skol10 ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[0]: (4437) {G15,W8,D3,L1,V0,M1} R(4418,2707) { ! alpha5( skol7,
% 1.77/2.18 skol10, skol9, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent1[2]: (365) {G1,W16,D3,L3,V6,M3} R(22,21) { element( skol6( X, Y, Z )
% 1.77/2.18 , the_carrier( X ) ), ! element( T, the_carrier( X ) ), alpha5( X, U, W,
% 1.77/2.18 T ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 T := skol1( skol7, skol9, skol10 )
% 1.77/2.18 U := skol10
% 1.77/2.18 W := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6598) {G3,W7,D3,L1,V2,M1} { element( skol6( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0[1]: (6597) {G2,W14,D3,L2,V2,M2} { element( skol6( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ), ! element( skol1( skol7, skol9, skol10 ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 parent1[0]: (2708) {G14,W7,D3,L1,V2,M1} R(2691,4) { element( skol1( skol7,
% 1.77/2.18 X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol9
% 1.77/2.18 Y := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4454) {G16,W7,D3,L1,V2,M1} R(4437,365);r(2708) { element(
% 1.77/2.18 skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 parent0: (6598) {G3,W7,D3,L1,V2,M1} { element( skol6( skol7, X, Y ),
% 1.77/2.18 the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6599) {G16,W4,D2,L1,V0,M1} { ! alpha4( skol7, skol10, skol9 )
% 1.77/2.18 }.
% 1.77/2.18 parent0[0]: (4437) {G15,W8,D3,L1,V0,M1} R(4418,2707) { ! alpha5( skol7,
% 1.77/2.18 skol10, skol9, skol1( skol7, skol9, skol10 ) ) }.
% 1.77/2.18 parent1[1]: (2712) {G15,W12,D3,L2,V4,M2} R(2708,21) { ! alpha4( skol7, X, Y
% 1.77/2.18 ), alpha5( skol7, X, Y, skol1( skol7, Z, T ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol10
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := skol9
% 1.77/2.18 T := skol10
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4455) {G16,W4,D2,L1,V0,M1} R(4437,2712) { ! alpha4( skol7,
% 1.77/2.18 skol10, skol9 ) }.
% 1.77/2.18 parent0: (6599) {G16,W4,D2,L1,V0,M1} { ! alpha4( skol7, skol10, skol9 )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6600) {G2,W7,D3,L1,V0,M1} { ! related( skol7, skol9, skol6(
% 1.77/2.18 skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0[0]: (4455) {G16,W4,D2,L1,V0,M1} R(4437,2712) { ! alpha4( skol7,
% 1.77/2.18 skol10, skol9 ) }.
% 1.77/2.18 parent1[0]: (414) {G1,W11,D3,L2,V3,M2} R(23,26) { alpha4( X, Y, Z ), !
% 1.77/2.18 related( X, Z, skol6( X, Y, Z ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4463) {G17,W7,D3,L1,V0,M1} R(4455,414) { ! related( skol7,
% 1.77/2.18 skol9, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0: (6600) {G2,W7,D3,L1,V0,M1} { ! related( skol7, skol9, skol6(
% 1.77/2.18 skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6601) {G2,W7,D3,L1,V0,M1} { relstr_set_smaller( skol7, skol10
% 1.77/2.18 , skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0[0]: (4455) {G16,W4,D2,L1,V0,M1} R(4437,2712) { ! alpha4( skol7,
% 1.77/2.18 skol10, skol9 ) }.
% 1.77/2.18 parent1[0]: (413) {G1,W11,D3,L2,V3,M2} R(23,25) { alpha4( X, Y, Z ),
% 1.77/2.18 relstr_set_smaller( X, Y, skol6( X, Y, Z ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol10
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4464) {G17,W7,D3,L1,V0,M1} R(4455,413) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0: (6601) {G2,W7,D3,L1,V0,M1} { relstr_set_smaller( skol7, skol10,
% 1.77/2.18 skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6602) {G1,W18,D3,L3,V1,M3} { ! element( skol6( skol7, skol10
% 1.77/2.18 , skol9 ), the_carrier( skol7 ) ), related( skol7, X, skol6( skol7,
% 1.77/2.18 skol10, skol9 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[1]: (42) {G0,W16,D3,L4,V4,M4} I { ! element( T, the_carrier( X ) )
% 1.77/2.18 , ! relstr_set_smaller( X, Z, T ), related( X, Y, T ), alpha9( X, Y, Z )
% 1.77/2.18 }.
% 1.77/2.18 parent1[0]: (4464) {G17,W7,D3,L1,V0,M1} R(4455,413) { relstr_set_smaller(
% 1.77/2.18 skol7, skol10, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := skol10
% 1.77/2.18 T := skol6( skol7, skol10, skol9 )
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6603) {G2,W11,D3,L2,V1,M2} { related( skol7, X, skol6( skol7
% 1.77/2.18 , skol10, skol9 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent0[0]: (6602) {G1,W18,D3,L3,V1,M3} { ! element( skol6( skol7, skol10
% 1.77/2.18 , skol9 ), the_carrier( skol7 ) ), related( skol7, X, skol6( skol7,
% 1.77/2.18 skol10, skol9 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent1[0]: (4454) {G16,W7,D3,L1,V2,M1} R(4437,365);r(2708) { element(
% 1.77/2.18 skol6( skol7, X, Y ), the_carrier( skol7 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol10
% 1.77/2.18 Y := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4529) {G18,W11,D3,L2,V1,M2} R(4464,42);r(4454) { related(
% 1.77/2.18 skol7, X, skol6( skol7, skol10, skol9 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 parent0: (6603) {G2,W11,D3,L2,V1,M2} { related( skol7, X, skol6( skol7,
% 1.77/2.18 skol10, skol9 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6604) {G1,W8,D2,L2,V2,M2} { alpha1( skol7, X, Y ), ! alpha4(
% 1.77/2.18 skol7, Y, X ) }.
% 1.77/2.18 parent0[0]: (5) {G0,W12,D3,L2,V3,M2} I { ! alpha3( X, Y, Z, skol1( X, Y, Z
% 1.77/2.18 ) ), alpha1( X, Y, Z ) }.
% 1.77/2.18 parent1[0]: (4426) {G16,W12,D3,L2,V4,M2} R(4418,2712) { alpha3( skol7, X, Y
% 1.77/2.18 , skol1( skol7, Z, T ) ), ! alpha4( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := Y
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := Y
% 1.77/2.18 Z := X
% 1.77/2.18 T := Y
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4986) {G17,W8,D2,L2,V2,M2} R(4426,5) { ! alpha4( skol7, X, Y
% 1.77/2.18 ), alpha1( skol7, Y, X ) }.
% 1.77/2.18 parent0: (6604) {G1,W8,D2,L2,V2,M2} { alpha1( skol7, X, Y ), ! alpha4(
% 1.77/2.18 skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := Y
% 1.77/2.18 Y := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6605) {G11,W12,D2,L3,V1,M3} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 alpha2( skol7, X, skol9 ), ! alpha4( skol7, X, skol9 ) }.
% 1.77/2.18 parent0[0]: (4304) {G10,W12,D2,L3,V1,M3} R(4214,18) { ! alpha1( skol7,
% 1.77/2.18 skol9, X ), alpha7( skol7, skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 parent1[1]: (4986) {G17,W8,D2,L2,V2,M2} R(4426,5) { ! alpha4( skol7, X, Y )
% 1.77/2.18 , alpha1( skol7, Y, X ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 Y := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6606) {G1,W12,D2,L3,V1,M3} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 alpha2( skol7, X, skol9 ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 parent0[2]: (6605) {G11,W12,D2,L3,V1,M3} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 alpha2( skol7, X, skol9 ), ! alpha4( skol7, X, skol9 ) }.
% 1.77/2.18 parent1[1]: (19) {G0,W8,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha4( X, Y
% 1.77/2.18 , Z ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := X
% 1.77/2.18 Z := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6607) {G1,W8,D2,L2,V1,M2} { alpha7( skol7, skol9, X ), ! alpha2(
% 1.77/2.18 skol7, X, skol9 ) }.
% 1.77/2.18 parent0[1, 2]: (6606) {G1,W12,D2,L3,V1,M3} { alpha7( skol7, skol9, X ), !
% 1.77/2.18 alpha2( skol7, X, skol9 ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (4989) {G18,W8,D2,L2,V1,M2} R(4986,4304);r(19) { alpha7( skol7
% 1.77/2.18 , skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 parent0: (6607) {G1,W8,D2,L2,V1,M2} { alpha7( skol7, skol9, X ), ! alpha2
% 1.77/2.18 ( skol7, X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6608) {G2,W12,D2,L3,V1,M3} { alpha6( skol7, skol9, X ), !
% 1.77/2.18 alpha9( skol7, skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 parent0[0]: (550) {G1,W12,D2,L3,V3,M3} R(35,38) { ! alpha7( X, Y, Z ),
% 1.77/2.18 alpha6( X, Y, Z ), ! alpha9( X, Y, Z ) }.
% 1.77/2.18 parent1[0]: (4989) {G18,W8,D2,L2,V1,M2} R(4986,4304);r(19) { alpha7( skol7
% 1.77/2.18 , skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol7
% 1.77/2.18 Y := skol9
% 1.77/2.18 Z := X
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (5005) {G19,W12,D2,L3,V1,M3} R(4989,550) { ! alpha2( skol7, X
% 1.77/2.18 , skol9 ), alpha6( skol7, skol9, X ), ! alpha9( skol7, skol9, X ) }.
% 1.77/2.18 parent0: (6608) {G2,W12,D2,L3,V1,M3} { alpha6( skol7, skol9, X ), ! alpha9
% 1.77/2.18 ( skol7, skol9, X ), ! alpha2( skol7, X, skol9 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := X
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 1
% 1.77/2.18 1 ==> 2
% 1.77/2.18 2 ==> 0
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6609) {G19,W15,D3,L3,V0,M3} { ! alpha2( skol7, skol10, skol9
% 1.77/2.18 ), alpha6( skol7, skol9, skol10 ), related( skol7, skol9, skol6( skol7,
% 1.77/2.18 skol10, skol9 ) ) }.
% 1.77/2.18 parent0[2]: (5005) {G19,W12,D2,L3,V1,M3} R(4989,550) { ! alpha2( skol7, X,
% 1.77/2.18 skol9 ), alpha6( skol7, skol9, X ), ! alpha9( skol7, skol9, X ) }.
% 1.77/2.18 parent1[1]: (4529) {G18,W11,D3,L2,V1,M2} R(4464,42);r(4454) { related(
% 1.77/2.18 skol7, X, skol6( skol7, skol10, skol9 ) ), alpha9( skol7, X, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol10
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 X := skol9
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6610) {G7,W22,D3,L4,V0,M4} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha6( skol7,
% 1.77/2.18 skol9, skol10 ), related( skol7, skol9, skol6( skol7, skol10, skol9 ) )
% 1.77/2.18 }.
% 1.77/2.18 parent0[0]: (6609) {G19,W15,D3,L3,V0,M3} { ! alpha2( skol7, skol10, skol9
% 1.77/2.18 ), alpha6( skol7, skol9, skol10 ), related( skol7, skol9, skol6( skol7,
% 1.77/2.18 skol10, skol9 ) ) }.
% 1.77/2.18 parent1[0]: (1417) {G6,W15,D3,L3,V0,M3} R(1252,31);r(713) { alpha2( skol7,
% 1.77/2.18 skol10, skol9 ), alpha6( skol7, skol9, skol10 ), related( skol7, skol9,
% 1.77/2.18 skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6612) {G7,W15,D3,L3,V0,M3} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha6( skol7,
% 1.77/2.18 skol9, skol10 ) }.
% 1.77/2.18 parent0[1, 3]: (6610) {G7,W22,D3,L4,V0,M4} { alpha6( skol7, skol9, skol10
% 1.77/2.18 ), related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha6( skol7
% 1.77/2.18 , skol9, skol10 ), related( skol7, skol9, skol6( skol7, skol10, skol9 ) )
% 1.77/2.18 }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 factor: (6613) {G7,W11,D3,L2,V0,M2} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0[0, 2]: (6612) {G7,W15,D3,L3,V0,M3} { alpha6( skol7, skol9, skol10
% 1.77/2.18 ), related( skol7, skol9, skol6( skol7, skol10, skol9 ) ), alpha6( skol7
% 1.77/2.18 , skol9, skol10 ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (6268) {G20,W11,D3,L2,V0,M2} R(5005,4529);r(1417) { alpha6(
% 1.77/2.18 skol7, skol9, skol10 ), related( skol7, skol9, skol6( skol7, skol10,
% 1.77/2.18 skol9 ) ) }.
% 1.77/2.18 parent0: (6613) {G7,W11,D3,L2,V0,M2} { alpha6( skol7, skol9, skol10 ),
% 1.77/2.18 related( skol7, skol9, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 0 ==> 0
% 1.77/2.18 1 ==> 1
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6614) {G20,W7,D3,L1,V0,M1} { related( skol7, skol9, skol6(
% 1.77/2.18 skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent0[0]: (3120) {G19,W4,D2,L1,V1,M1} R(3052,856);r(2080) { ! alpha6(
% 1.77/2.18 skol7, X, skol10 ) }.
% 1.77/2.18 parent1[0]: (6268) {G20,W11,D3,L2,V0,M2} R(5005,4529);r(1417) { alpha6(
% 1.77/2.18 skol7, skol9, skol10 ), related( skol7, skol9, skol6( skol7, skol10,
% 1.77/2.18 skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 X := skol9
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 resolution: (6615) {G18,W0,D0,L0,V0,M0} { }.
% 1.77/2.18 parent0[0]: (4463) {G17,W7,D3,L1,V0,M1} R(4455,414) { ! related( skol7,
% 1.77/2.18 skol9, skol6( skol7, skol10, skol9 ) ) }.
% 1.77/2.18 parent1[0]: (6614) {G20,W7,D3,L1,V0,M1} { related( skol7, skol9, skol6(
% 1.77/2.18 skol7, skol10, skol9 ) ) }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 substitution1:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 subsumption: (6269) {G21,W0,D0,L0,V0,M0} S(6268);r(3120);r(4463) { }.
% 1.77/2.18 parent0: (6615) {G18,W0,D0,L0,V0,M0} { }.
% 1.77/2.18 substitution0:
% 1.77/2.18 end
% 1.77/2.18 permutation0:
% 1.77/2.18 end
% 1.77/2.18
% 1.77/2.18 Proof check complete!
% 1.77/2.18
% 1.77/2.18 Memory use:
% 1.77/2.18
% 1.77/2.18 space for terms: 97522
% 1.77/2.18 space for clauses: 260872
% 1.77/2.18
% 1.77/2.18
% 1.77/2.18 clauses generated: 141061
% 1.77/2.18 clauses kept: 6270
% 1.77/2.18 clauses selected: 1362
% 1.77/2.18 clauses deleted: 629
% 1.77/2.18 clauses inuse deleted: 258
% 1.77/2.18
% 1.77/2.18 subsentry: 48115
% 1.77/2.18 literals s-matched: 38298
% 1.77/2.18 literals matched: 34194
% 1.77/2.18 full subsumption: 1596
% 1.77/2.18
% 1.77/2.18 checksum: 791424847
% 1.77/2.18
% 1.77/2.18
% 1.77/2.18 Bliksem ended
%------------------------------------------------------------------------------