TSTP Solution File: SEU281+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 07:12:06 EDT 2022
% Result : Theorem 29.19s 29.62s
% Output : Refutation 29.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 19 02:56:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.33 *** allocated 10000 integers for termspace/termends
% 0.73/1.33 *** allocated 10000 integers for clauses
% 0.73/1.33 *** allocated 10000 integers for justifications
% 0.73/1.33 Bliksem 1.12
% 0.73/1.33
% 0.73/1.33
% 0.73/1.33 Automatic Strategy Selection
% 0.73/1.33
% 0.73/1.33
% 0.73/1.33 Clauses:
% 0.73/1.33
% 0.73/1.33 { alpha8( skol1, skol13, X, skol20( X ) ), alpha6( skol1, skol13, skol20( X
% 0.73/1.33 ) ) }.
% 0.73/1.33 { alpha8( skol1, skol13, X, skol20( X ) ), ! in( skol20( X ), X ) }.
% 0.73/1.33 { ! alpha8( X, Y, Z, T ), in( T, Z ) }.
% 0.73/1.33 { ! alpha8( X, Y, Z, T ), ! in( T, cartesian_product2( X, Y ) ), ! alpha1(
% 0.73/1.33 X, T ) }.
% 0.73/1.33 { ! in( T, Z ), in( T, cartesian_product2( X, Y ) ), alpha8( X, Y, Z, T ) }
% 0.73/1.33 .
% 0.73/1.33 { ! in( T, Z ), alpha1( X, T ), alpha8( X, Y, Z, T ) }.
% 0.73/1.33 { ! alpha6( X, Y, Z ), in( Z, cartesian_product2( X, Y ) ) }.
% 0.73/1.33 { ! alpha6( X, Y, Z ), alpha1( X, Z ) }.
% 0.73/1.33 { ! in( Z, cartesian_product2( X, Y ) ), ! alpha1( X, Z ), alpha6( X, Y, Z
% 0.73/1.33 ) }.
% 0.73/1.33 { ! alpha1( X, Y ), ordered_pair( skol2( X, Y ), skol14( X, Y ) ) = Y }.
% 0.73/1.33 { ! alpha1( X, Y ), alpha3( X, skol2( X, Y ), skol14( X, Y ) ) }.
% 0.73/1.33 { ! ordered_pair( Z, T ) = Y, ! alpha3( X, Z, T ), alpha1( X, Y ) }.
% 0.73/1.33 { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 0.73/1.33 { ! alpha3( X, Y, Z ), Z = singleton( Y ) }.
% 0.73/1.33 { ! in( Y, X ), ! Z = singleton( Y ), alpha3( X, Y, Z ) }.
% 0.73/1.33 { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.73/1.33 { ! ordinal( X ), epsilon_connected( X ) }.
% 0.73/1.33 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 0.73/1.33 { epsilon_transitive( skol3 ) }.
% 0.73/1.33 { epsilon_connected( skol3 ) }.
% 0.73/1.33 { ordinal( skol3 ) }.
% 0.73/1.33 { ! empty( skol4 ) }.
% 0.73/1.33 { epsilon_transitive( skol4 ) }.
% 0.73/1.33 { epsilon_connected( skol4 ) }.
% 0.73/1.33 { ordinal( skol4 ) }.
% 0.73/1.33 { ! empty( X ), function( X ) }.
% 0.73/1.33 { ! empty( X ), epsilon_transitive( X ) }.
% 0.73/1.33 { ! empty( X ), epsilon_connected( X ) }.
% 0.73/1.33 { ! empty( X ), ordinal( X ) }.
% 0.73/1.33 { empty( skol5 ) }.
% 0.73/1.33 { ! empty( skol6 ) }.
% 0.73/1.33 { ! in( X, Y ), ! in( Y, X ) }.
% 0.73/1.33 { && }.
% 0.73/1.33 { && }.
% 0.73/1.33 { && }.
% 0.73/1.33 { ! empty( ordered_pair( X, Y ) ) }.
% 0.73/1.33 { alpha7( X ), ! in( Z, skol7( X, Y ) ), in( skol15( X, Y, T ),
% 0.73/1.33 cartesian_product2( X, Y ) ) }.
% 0.73/1.33 { alpha7( X ), ! in( Z, skol7( X, Y ) ), alpha4( X, Z, skol15( X, Y, Z ) )
% 0.73/1.33 }.
% 0.73/1.33 { alpha7( X ), ! in( T, cartesian_product2( X, Y ) ), ! alpha4( X, Z, T ),
% 0.73/1.33 in( Z, skol7( X, Y ) ) }.
% 0.73/1.33 { ! alpha7( X ), alpha11( X, skol8( X ), skol16( X ) ) }.
% 0.73/1.33 { ! alpha7( X ), ! skol8( X ) = skol16( X ) }.
% 0.73/1.33 { ! alpha11( X, Y, Z ), Y = Z, alpha7( X ) }.
% 0.73/1.33 { ! alpha11( X, Y, Z ), skol9( T, U, Z ) = Z }.
% 0.73/1.33 { ! alpha11( X, Y, Z ), alpha10( X, Z ) }.
% 0.73/1.33 { ! alpha11( X, Y, Z ), alpha12( X, Y, skol9( X, Y, Z ) ) }.
% 0.73/1.33 { ! alpha12( X, Y, T ), ! T = Z, ! alpha10( X, Z ), alpha11( X, Y, Z ) }.
% 0.73/1.33 { ! alpha12( X, Y, Z ), Z = Y }.
% 0.73/1.33 { ! alpha12( X, Y, Z ), alpha9( X, Y ) }.
% 0.73/1.33 { ! Z = Y, ! alpha9( X, Y ), alpha12( X, Y, Z ) }.
% 0.73/1.33 { ! alpha10( X, Y ), ordered_pair( skol10( X, Y ), skol17( X, Y ) ) = Y }.
% 0.73/1.33 { ! alpha10( X, Y ), in( skol10( X, Y ), X ) }.
% 0.73/1.33 { ! alpha10( X, Y ), skol17( X, Y ) = singleton( skol10( X, Y ) ) }.
% 0.73/1.33 { ! ordered_pair( Z, T ) = Y, ! in( Z, X ), ! T = singleton( Z ), alpha10(
% 0.73/1.33 X, Y ) }.
% 0.73/1.33 { ! alpha9( X, Y ), ordered_pair( skol11( X, Y ), skol18( X, Y ) ) = Y }.
% 0.73/1.33 { ! alpha9( X, Y ), in( skol11( X, Y ), X ) }.
% 0.73/1.33 { ! alpha9( X, Y ), skol18( X, Y ) = singleton( skol11( X, Y ) ) }.
% 0.73/1.33 { ! ordered_pair( Z, T ) = Y, ! in( Z, X ), ! T = singleton( Z ), alpha9( X
% 0.73/1.33 , Y ) }.
% 0.73/1.33 { ! alpha4( X, Y, Z ), Z = Y }.
% 0.73/1.33 { ! alpha4( X, Y, Z ), alpha2( X, Y ) }.
% 0.73/1.33 { ! Z = Y, ! alpha2( X, Y ), alpha4( X, Y, Z ) }.
% 0.73/1.33 { ! alpha2( X, Y ), ordered_pair( skol12( X, Y ), skol19( X, Y ) ) = Y }.
% 0.73/1.33 { ! alpha2( X, Y ), alpha5( X, skol12( X, Y ), skol19( X, Y ) ) }.
% 0.73/1.33 { ! ordered_pair( Z, T ) = Y, ! alpha5( X, Z, T ), alpha2( X, Y ) }.
% 0.73/1.33 { ! alpha5( X, Y, Z ), in( Y, X ) }.
% 0.73/1.33 { ! alpha5( X, Y, Z ), Z = singleton( Y ) }.
% 0.73/1.33 { ! in( Y, X ), ! Z = singleton( Y ), alpha5( X, Y, Z ) }.
% 0.73/1.33
% 0.73/1.33 percentage equality = 0.172662, percentage horn = 0.890625
% 0.73/1.33 This is a problem with some equality
% 0.73/1.33
% 0.73/1.33
% 0.73/1.33
% 0.73/1.33 Options Used:
% 0.73/1.33
% 0.73/1.33 useres = 1
% 0.73/1.33 useparamod = 1
% 0.73/1.33 useeqrefl = 1
% 0.73/1.33 useeqfact = 1
% 0.73/1.33 usefactor = 1
% 0.73/1.33 usesimpsplitting = 0
% 0.73/1.33 usesimpdemod = 5
% 0.73/1.33 usesimpres = 3
% 0.73/1.33
% 0.73/1.33 resimpinuse = 1000
% 0.73/1.33 resimpclauses = 20000
% 0.73/1.33 substype = eqrewr
% 0.73/1.33 backwardsubs = 1
% 0.73/1.33 selectoldest = 5
% 0.73/1.33
% 0.73/1.33 litorderings [0] = split
% 0.73/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 16.49/16.88
% 16.49/16.88 termordering = kbo
% 16.49/16.88
% 16.49/16.88 litapriori = 0
% 16.49/16.88 termapriori = 1
% 16.49/16.88 litaposteriori = 0
% 16.49/16.88 termaposteriori = 0
% 16.49/16.88 demodaposteriori = 0
% 16.49/16.88 ordereqreflfact = 0
% 16.49/16.88
% 16.49/16.88 litselect = negord
% 16.49/16.88
% 16.49/16.88 maxweight = 15
% 16.49/16.88 maxdepth = 30000
% 16.49/16.88 maxlength = 115
% 16.49/16.88 maxnrvars = 195
% 16.49/16.88 excuselevel = 1
% 16.49/16.88 increasemaxweight = 1
% 16.49/16.88
% 16.49/16.88 maxselected = 10000000
% 16.49/16.88 maxnrclauses = 10000000
% 16.49/16.88
% 16.49/16.88 showgenerated = 0
% 16.49/16.88 showkept = 0
% 16.49/16.88 showselected = 0
% 16.49/16.88 showdeleted = 0
% 16.49/16.88 showresimp = 1
% 16.49/16.88 showstatus = 2000
% 16.49/16.88
% 16.49/16.88 prologoutput = 0
% 16.49/16.88 nrgoals = 5000000
% 16.49/16.88 totalproof = 1
% 16.49/16.88
% 16.49/16.88 Symbols occurring in the translation:
% 16.49/16.88
% 16.49/16.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 16.49/16.88 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 16.49/16.88 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 16.49/16.88 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 16.49/16.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.49/16.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.49/16.88 in [39, 2] (w:1, o:62, a:1, s:1, b:0),
% 16.49/16.88 cartesian_product2 [40, 2] (w:1, o:63, a:1, s:1, b:0),
% 16.49/16.88 ordered_pair [43, 2] (w:1, o:64, a:1, s:1, b:0),
% 16.49/16.88 singleton [44, 1] (w:1, o:28, a:1, s:1, b:0),
% 16.49/16.88 ordinal [45, 1] (w:1, o:29, a:1, s:1, b:0),
% 16.49/16.88 epsilon_transitive [46, 1] (w:1, o:30, a:1, s:1, b:0),
% 16.49/16.88 epsilon_connected [47, 1] (w:1, o:31, a:1, s:1, b:0),
% 16.49/16.88 empty [48, 1] (w:1, o:32, a:1, s:1, b:0),
% 16.49/16.88 function [49, 1] (w:1, o:33, a:1, s:1, b:0),
% 16.49/16.88 alpha1 [55, 2] (w:1, o:65, a:1, s:1, b:1),
% 16.49/16.88 alpha2 [56, 2] (w:1, o:67, a:1, s:1, b:1),
% 16.49/16.88 alpha3 [57, 3] (w:1, o:78, a:1, s:1, b:1),
% 16.49/16.88 alpha4 [58, 3] (w:1, o:79, a:1, s:1, b:1),
% 16.49/16.88 alpha5 [59, 3] (w:1, o:80, a:1, s:1, b:1),
% 16.49/16.88 alpha6 [60, 3] (w:1, o:81, a:1, s:1, b:1),
% 16.49/16.88 alpha7 [61, 1] (w:1, o:34, a:1, s:1, b:1),
% 16.49/16.88 alpha8 [62, 4] (w:1, o:86, a:1, s:1, b:1),
% 16.49/16.88 alpha9 [63, 2] (w:1, o:68, a:1, s:1, b:1),
% 16.49/16.88 alpha10 [64, 2] (w:1, o:66, a:1, s:1, b:1),
% 16.49/16.88 alpha11 [65, 3] (w:1, o:82, a:1, s:1, b:1),
% 16.49/16.88 alpha12 [66, 3] (w:1, o:83, a:1, s:1, b:1),
% 16.49/16.88 skol1 [67, 0] (w:1, o:17, a:1, s:1, b:1),
% 16.49/16.88 skol2 [68, 2] (w:1, o:76, a:1, s:1, b:1),
% 16.49/16.88 skol3 [69, 0] (w:1, o:18, a:1, s:1, b:1),
% 16.49/16.88 skol4 [70, 0] (w:1, o:19, a:1, s:1, b:1),
% 16.49/16.88 skol5 [71, 0] (w:1, o:20, a:1, s:1, b:1),
% 16.49/16.88 skol6 [72, 0] (w:1, o:21, a:1, s:1, b:1),
% 16.49/16.88 skol7 [73, 2] (w:1, o:77, a:1, s:1, b:1),
% 16.49/16.88 skol8 [74, 1] (w:1, o:35, a:1, s:1, b:1),
% 16.49/16.88 skol9 [75, 3] (w:1, o:84, a:1, s:1, b:1),
% 16.49/16.88 skol10 [76, 2] (w:1, o:69, a:1, s:1, b:1),
% 16.49/16.88 skol11 [77, 2] (w:1, o:70, a:1, s:1, b:1),
% 16.49/16.88 skol12 [78, 2] (w:1, o:71, a:1, s:1, b:1),
% 16.49/16.88 skol13 [79, 0] (w:1, o:22, a:1, s:1, b:1),
% 16.49/16.88 skol14 [80, 2] (w:1, o:72, a:1, s:1, b:1),
% 16.49/16.88 skol15 [81, 3] (w:1, o:85, a:1, s:1, b:1),
% 16.49/16.88 skol16 [82, 1] (w:1, o:36, a:1, s:1, b:1),
% 16.49/16.88 skol17 [83, 2] (w:1, o:73, a:1, s:1, b:1),
% 16.49/16.88 skol18 [84, 2] (w:1, o:74, a:1, s:1, b:1),
% 16.49/16.88 skol19 [85, 2] (w:1, o:75, a:1, s:1, b:1),
% 16.49/16.88 skol20 [86, 1] (w:1, o:37, a:1, s:1, b:1).
% 16.49/16.88
% 16.49/16.88
% 16.49/16.88 Starting Search:
% 16.49/16.88
% 16.49/16.88 *** allocated 15000 integers for clauses
% 16.49/16.88 *** allocated 22500 integers for clauses
% 16.49/16.88 *** allocated 33750 integers for clauses
% 16.49/16.88 *** allocated 15000 integers for termspace/termends
% 16.49/16.88 *** allocated 50625 integers for clauses
% 16.49/16.88 Resimplifying inuse:
% 16.49/16.88 Done
% 16.49/16.88
% 16.49/16.88 *** allocated 22500 integers for termspace/termends
% 16.49/16.88 *** allocated 75937 integers for clauses
% 16.49/16.88 *** allocated 33750 integers for termspace/termends
% 16.49/16.88 *** allocated 113905 integers for clauses
% 16.49/16.88
% 16.49/16.88 Intermediate Status:
% 16.49/16.88 Generated: 5192
% 16.49/16.88 Kept: 2003
% 16.49/16.88 Inuse: 326
% 16.49/16.88 Deleted: 122
% 16.49/16.88 Deletedinuse: 36
% 16.49/16.88
% 16.49/16.88 Resimplifying inuse:
% 16.49/16.88 Done
% 16.49/16.88
% 16.49/16.88 *** allocated 50625 integers for termspace/termends
% 16.49/16.88 *** allocated 170857 integers for clauses
% 16.49/16.88 Resimplifying inuse:
% 16.49/16.88 Done
% 16.49/16.88
% 16.49/16.88 *** allocated 75937 integers for termspace/termends
% 16.49/16.88
% 16.49/16.88 Intermediate Status:
% 16.49/16.88 Generated: 14949
% 16.49/16.88 Kept: 4010
% 16.49/16.88 Inuse: 540
% 16.49/16.88 Deleted: 195
% 16.49/16.88 Deletedinuse: 61
% 16.49/16.88
% 16.49/16.88 Resimplifying inuse:
% 16.49/16.88 Done
% 16.49/16.88
% 16.49/16.88 *** allocated 256285 integers for clauses
% 16.49/16.88 Resimplifying inuse:
% 16.49/16.88 Done
% 16.49/16.88
% 16.49/16.88 *** allocated 113905 integers for termspace/termends
% 16.49/16.88
% 16.49/16.88 Intermediate Status:
% 16.49/16.88 Generated: 26708
% 16.49/16.88 Kept: 6053
% 16.49/16.88 Inuse: 740
% 29.19/29.62 Deleted: 243
% 29.19/29.62 Deletedinuse: 81
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 384427 integers for clauses
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 170857 integers for termspace/termends
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 33792
% 29.19/29.62 Kept: 8072
% 29.19/29.62 Inuse: 891
% 29.19/29.62 Deleted: 275
% 29.19/29.62 Deletedinuse: 81
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 576640 integers for clauses
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 46728
% 29.19/29.62 Kept: 10079
% 29.19/29.62 Inuse: 1026
% 29.19/29.62 Deleted: 302
% 29.19/29.62 Deletedinuse: 85
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 256285 integers for termspace/termends
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 54573
% 29.19/29.62 Kept: 12163
% 29.19/29.62 Inuse: 1135
% 29.19/29.62 Deleted: 330
% 29.19/29.62 Deletedinuse: 85
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 73628
% 29.19/29.62 Kept: 14163
% 29.19/29.62 Inuse: 1348
% 29.19/29.62 Deleted: 392
% 29.19/29.62 Deletedinuse: 90
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 864960 integers for clauses
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 91075
% 29.19/29.62 Kept: 16221
% 29.19/29.62 Inuse: 1461
% 29.19/29.62 Deleted: 412
% 29.19/29.62 Deletedinuse: 102
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 384427 integers for termspace/termends
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 112389
% 29.19/29.62 Kept: 18267
% 29.19/29.62 Inuse: 1679
% 29.19/29.62 Deleted: 449
% 29.19/29.62 Deletedinuse: 102
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying clauses:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 124014
% 29.19/29.62 Kept: 20293
% 29.19/29.62 Inuse: 1696
% 29.19/29.62 Deleted: 2923
% 29.19/29.62 Deletedinuse: 105
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 163017
% 29.19/29.62 Kept: 22293
% 29.19/29.62 Inuse: 1788
% 29.19/29.62 Deleted: 2946
% 29.19/29.62 Deletedinuse: 128
% 29.19/29.62
% 29.19/29.62 *** allocated 1297440 integers for clauses
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 209868
% 29.19/29.62 Kept: 24303
% 29.19/29.62 Inuse: 2090
% 29.19/29.62 Deleted: 2950
% 29.19/29.62 Deletedinuse: 128
% 29.19/29.62
% 29.19/29.62 *** allocated 576640 integers for termspace/termends
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 246666
% 29.19/29.62 Kept: 26373
% 29.19/29.62 Inuse: 2376
% 29.19/29.62 Deleted: 2992
% 29.19/29.62 Deletedinuse: 165
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 273722
% 29.19/29.62 Kept: 28389
% 29.19/29.62 Inuse: 2506
% 29.19/29.62 Deleted: 3042
% 29.19/29.62 Deletedinuse: 165
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 295630
% 29.19/29.62 Kept: 30406
% 29.19/29.62 Inuse: 2604
% 29.19/29.62 Deleted: 3048
% 29.19/29.62 Deletedinuse: 165
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 325668
% 29.19/29.62 Kept: 32418
% 29.19/29.62 Inuse: 2748
% 29.19/29.62 Deleted: 3050
% 29.19/29.62 Deletedinuse: 166
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 1946160 integers for clauses
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 350846
% 29.19/29.62 Kept: 34434
% 29.19/29.62 Inuse: 2849
% 29.19/29.62 Deleted: 3050
% 29.19/29.62 Deletedinuse: 166
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 373579
% 29.19/29.62 Kept: 36459
% 29.19/29.62 Inuse: 2923
% 29.19/29.62 Deleted: 3051
% 29.19/29.62 Deletedinuse: 166
% 29.19/29.62
% 29.19/29.62 *** allocated 864960 integers for termspace/termends
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 412630
% 29.19/29.62 Kept: 38484
% 29.19/29.62 Inuse: 3021
% 29.19/29.62 Deleted: 3055
% 29.19/29.62 Deletedinuse: 166
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying clauses:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 449313
% 29.19/29.62 Kept: 40568
% 29.19/29.62 Inuse: 3079
% 29.19/29.62 Deleted: 4607
% 29.19/29.62 Deletedinuse: 166
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 470368
% 29.19/29.62 Kept: 42607
% 29.19/29.62 Inuse: 3121
% 29.19/29.62 Deleted: 4607
% 29.19/29.62 Deletedinuse: 166
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 510991
% 29.19/29.62 Kept: 44699
% 29.19/29.62 Inuse: 3236
% 29.19/29.62 Deleted: 4607
% 29.19/29.62 Deletedinuse: 166
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 552405
% 29.19/29.62 Kept: 46767
% 29.19/29.62 Inuse: 3312
% 29.19/29.62 Deleted: 4615
% 29.19/29.62 Deletedinuse: 174
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 623179
% 29.19/29.62 Kept: 48796
% 29.19/29.62 Inuse: 3391
% 29.19/29.62 Deleted: 4615
% 29.19/29.62 Deletedinuse: 174
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 770581
% 29.19/29.62 Kept: 50808
% 29.19/29.62 Inuse: 3557
% 29.19/29.62 Deleted: 4615
% 29.19/29.62 Deletedinuse: 174
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Intermediate Status:
% 29.19/29.62 Generated: 922188
% 29.19/29.62 Kept: 52822
% 29.19/29.62 Inuse: 3909
% 29.19/29.62 Deleted: 4615
% 29.19/29.62 Deletedinuse: 174
% 29.19/29.62
% 29.19/29.62 *** allocated 2919240 integers for clauses
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62 *** allocated 1297440 integers for termspace/termends
% 29.19/29.62 Resimplifying inuse:
% 29.19/29.62 Done
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Bliksems!, er is een bewijs:
% 29.19/29.62 % SZS status Theorem
% 29.19/29.62 % SZS output start Refutation
% 29.19/29.62
% 29.19/29.62 (0) {G0,W11,D3,L2,V1,M2} I { alpha8( skol1, skol13, X, skol20( X ) ),
% 29.19/29.62 alpha6( skol1, skol13, skol20( X ) ) }.
% 29.19/29.62 (1) {G0,W10,D3,L2,V1,M2} I { alpha8( skol1, skol13, X, skol20( X ) ), ! in
% 29.19/29.62 ( skol20( X ), X ) }.
% 29.19/29.62 (2) {G0,W8,D2,L2,V4,M2} I { ! alpha8( X, Y, Z, T ), in( T, Z ) }.
% 29.19/29.62 (3) {G0,W13,D3,L3,V4,M3} I { ! alpha8( X, Y, Z, T ), ! in( T,
% 29.19/29.62 cartesian_product2( X, Y ) ), ! alpha1( X, T ) }.
% 29.19/29.62 (6) {G0,W9,D3,L2,V3,M2} I { ! alpha6( X, Y, Z ), in( Z, cartesian_product2
% 29.19/29.62 ( X, Y ) ) }.
% 29.19/29.62 (7) {G0,W7,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha1( X, Z ) }.
% 29.19/29.62 (9) {G0,W12,D4,L2,V2,M2} I { ! alpha1( X, Y ), ordered_pair( skol2( X, Y )
% 29.19/29.62 , skol14( X, Y ) ) ==> Y }.
% 29.19/29.62 (10) {G0,W11,D3,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, skol2( X, Y ),
% 29.19/29.62 skol14( X, Y ) ) }.
% 29.19/29.62 (11) {G0,W12,D3,L3,V4,M3} I { ! ordered_pair( Z, T ) = Y, ! alpha3( X, Z, T
% 29.19/29.62 ), alpha1( X, Y ) }.
% 29.19/29.62 (12) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 29.19/29.62 (13) {G0,W8,D3,L2,V3,M2} I { ! alpha3( X, Y, Z ), Z = singleton( Y ) }.
% 29.19/29.62 (14) {G0,W11,D3,L3,V3,M3} I { ! in( Y, X ), ! Z = singleton( Y ), alpha3( X
% 29.19/29.62 , Y, Z ) }.
% 29.19/29.62 (34) {G0,W15,D3,L3,V4,M3} I { alpha7( X ), ! in( Z, skol7( X, Y ) ), in(
% 29.19/29.62 skol15( X, Y, T ), cartesian_product2( X, Y ) ) }.
% 29.19/29.62 (35) {G0,W14,D3,L3,V3,M3} I { alpha7( X ), ! in( Z, skol7( X, Y ) ), alpha4
% 29.19/29.62 ( X, Z, skol15( X, Y, Z ) ) }.
% 29.19/29.62 (36) {G0,W16,D3,L4,V4,M4} I { alpha7( X ), ! in( T, cartesian_product2( X,
% 29.19/29.62 Y ) ), ! alpha4( X, Z, T ), in( Z, skol7( X, Y ) ) }.
% 29.19/29.62 (37) {G0,W8,D3,L2,V1,M2} I { ! alpha7( X ), alpha11( X, skol8( X ), skol16
% 29.19/29.62 ( X ) ) }.
% 29.19/29.62 (38) {G0,W7,D3,L2,V1,M2} I { ! alpha7( X ), ! skol16( X ) ==> skol8( X )
% 29.19/29.62 }.
% 29.19/29.62 (40) {G0,W10,D3,L2,V5,M2} I { ! alpha11( X, Y, Z ), skol9( T, U, Z ) ==> Z
% 29.19/29.62 }.
% 29.19/29.62 (42) {G0,W11,D3,L2,V3,M2} I { ! alpha11( X, Y, Z ), alpha12( X, Y, skol9( X
% 29.19/29.62 , Y, Z ) ) }.
% 29.19/29.62 (44) {G0,W7,D2,L2,V3,M2} I { ! alpha12( X, Y, Z ), Z = Y }.
% 29.19/29.62 (47) {G0,W12,D4,L2,V2,M2} I { ! alpha10( X, Y ), ordered_pair( skol10( X, Y
% 29.19/29.62 ), skol17( X, Y ) ) ==> Y }.
% 29.19/29.62 (48) {G0,W8,D3,L2,V2,M2} I { ! alpha10( X, Y ), in( skol10( X, Y ), X ) }.
% 29.19/29.62 (49) {G0,W11,D4,L2,V2,M2} I { ! alpha10( X, Y ), singleton( skol10( X, Y )
% 29.19/29.62 ) ==> skol17( X, Y ) }.
% 29.19/29.62 (50) {G0,W15,D3,L4,V4,M4} I { ! ordered_pair( Z, T ) = Y, ! in( Z, X ), ! T
% 29.19/29.62 = singleton( Z ), alpha10( X, Y ) }.
% 29.19/29.62 (51) {G0,W12,D4,L2,V2,M2} I { ! alpha9( X, Y ), ordered_pair( skol11( X, Y
% 29.19/29.62 ), skol18( X, Y ) ) ==> Y }.
% 29.19/29.62 (52) {G0,W8,D3,L2,V2,M2} I { ! alpha9( X, Y ), in( skol11( X, Y ), X ) }.
% 29.19/29.62 (53) {G0,W11,D4,L2,V2,M2} I { ! alpha9( X, Y ), singleton( skol11( X, Y ) )
% 29.19/29.62 ==> skol18( X, Y ) }.
% 29.19/29.62 (54) {G0,W15,D3,L4,V4,M4} I { ! ordered_pair( Z, T ) = Y, ! in( Z, X ), ! T
% 29.19/29.62 = singleton( Z ), alpha9( X, Y ) }.
% 29.19/29.62 (55) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), Z = Y }.
% 29.19/29.62 (56) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), alpha2( X, Y ) }.
% 29.19/29.62 (57) {G0,W10,D2,L3,V3,M3} I { ! Z = Y, ! alpha2( X, Y ), alpha4( X, Y, Z )
% 29.19/29.62 }.
% 29.19/29.62 (58) {G0,W12,D4,L2,V2,M2} I { ! alpha2( X, Y ), ordered_pair( skol12( X, Y
% 29.19/29.62 ), skol19( X, Y ) ) ==> Y }.
% 29.19/29.62 (59) {G0,W11,D3,L2,V2,M2} I { ! alpha2( X, Y ), alpha5( X, skol12( X, Y ),
% 29.19/29.62 skol19( X, Y ) ) }.
% 29.19/29.62 (60) {G0,W12,D3,L3,V4,M3} I { ! ordered_pair( Z, T ) = Y, ! alpha5( X, Z, T
% 29.19/29.62 ), alpha2( X, Y ) }.
% 29.19/29.62 (61) {G0,W7,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), in( Y, X ) }.
% 29.19/29.62 (62) {G0,W8,D3,L2,V3,M2} I { ! alpha5( X, Y, Z ), Z = singleton( Y ) }.
% 29.19/29.62 (63) {G0,W11,D3,L3,V3,M3} I { ! in( Y, X ), ! Z = singleton( Y ), alpha5( X
% 29.19/29.62 , Y, Z ) }.
% 29.19/29.62 (64) {G1,W9,D3,L2,V3,M2} Q(11) { ! alpha3( X, Y, Z ), alpha1( X,
% 29.19/29.62 ordered_pair( Y, Z ) ) }.
% 29.19/29.62 (73) {G1,W12,D4,L3,V3,M3} Q(54) { ! ordered_pair( X, singleton( X ) ) = Y,
% 29.19/29.62 ! in( X, Z ), alpha9( Z, Y ) }.
% 29.19/29.62 (74) {G2,W9,D4,L2,V2,M2} Q(73) { ! in( X, Y ), alpha9( Y, ordered_pair( X,
% 29.19/29.62 singleton( X ) ) ) }.
% 29.19/29.62 (75) {G1,W7,D2,L2,V2,M2} Q(57) { ! alpha2( X, Y ), alpha4( X, Y, Y ) }.
% 29.19/29.62 (81) {G1,W9,D3,L2,V1,M2} R(2,0) { in( skol20( X ), X ), alpha6( skol1,
% 29.19/29.62 skol13, skol20( X ) ) }.
% 29.19/29.62 (85) {G1,W14,D3,L3,V1,M3} R(3,1) { ! in( skol20( X ), cartesian_product2(
% 29.19/29.62 skol1, skol13 ) ), ! alpha1( skol1, skol20( X ) ), ! in( skol20( X ), X )
% 29.19/29.62 }.
% 29.19/29.62 (191) {G1,W8,D3,L2,V2,M2} R(12,10) { in( skol2( X, Y ), X ), ! alpha1( X, Y
% 29.19/29.62 ) }.
% 29.19/29.62 (201) {G1,W11,D4,L2,V2,M2} R(13,10) { singleton( skol2( X, Y ) ) ==> skol14
% 29.19/29.62 ( X, Y ), ! alpha1( X, Y ) }.
% 29.19/29.62 (236) {G1,W15,D3,L4,V4,M4} R(14,11) { ! in( X, Y ), ! Z = singleton( X ), !
% 29.19/29.62 ordered_pair( X, Z ) = T, alpha1( Y, T ) }.
% 29.19/29.62 (239) {G1,W12,D3,L3,V4,M3} R(14,61) { ! X = singleton( Y ), alpha3( Z, Y, X
% 29.19/29.62 ), ! alpha5( Z, Y, T ) }.
% 29.19/29.62 (252) {G2,W12,D4,L3,V3,M3} Q(236) { ! in( X, Y ), ! ordered_pair( X,
% 29.19/29.62 singleton( X ) ) = Z, alpha1( Y, Z ) }.
% 29.19/29.62 (301) {G1,W13,D3,L3,V3,M3} R(35,55) { alpha7( X ), ! in( Y, skol7( X, Z ) )
% 29.19/29.62 , skol15( X, Z, Y ) ==> Y }.
% 29.19/29.62 (302) {G1,W10,D3,L3,V3,M3} R(35,56) { alpha7( X ), ! in( Y, skol7( X, Z ) )
% 29.19/29.62 , alpha2( X, Y ) }.
% 29.19/29.62 (406) {G1,W11,D3,L3,V3,M3} P(44,38) { ! alpha7( X ), ! Y = skol8( X ), !
% 29.19/29.62 alpha12( Z, Y, skol16( X ) ) }.
% 29.19/29.62 (414) {G2,W8,D3,L2,V2,M2} Q(406) { ! alpha7( X ), ! alpha12( Y, skol8( X )
% 29.19/29.62 , skol16( X ) ) }.
% 29.19/29.62 (488) {G1,W10,D4,L2,V3,M2} R(40,37) { skol9( X, Y, skol16( Z ) ) ==> skol16
% 29.19/29.62 ( Z ), ! alpha7( Z ) }.
% 29.19/29.62 (509) {G3,W2,D2,L1,V1,M1} R(42,37);d(488);r(414) { ! alpha7( X ) }.
% 29.19/29.62 (515) {G4,W14,D3,L3,V4,M3} R(509,36) { ! in( X, cartesian_product2( Y, Z )
% 29.19/29.62 ), ! alpha4( Y, T, X ), in( T, skol7( Y, Z ) ) }.
% 29.19/29.62 (517) {G4,W13,D3,L2,V4,M2} R(509,34) { ! in( X, skol7( Y, Z ) ), in( skol15
% 29.19/29.62 ( Y, Z, T ), cartesian_product2( Y, Z ) ) }.
% 29.19/29.62 (819) {G1,W18,D4,L4,V4,M4} R(52,50);d(53) { ! alpha9( X, Y ), !
% 29.19/29.62 ordered_pair( skol11( X, Y ), Z ) = T, alpha10( X, T ), ! Z = skol18( X,
% 29.19/29.62 Y ) }.
% 29.19/29.62 (839) {G2,W9,D2,L3,V3,M3} Q(819);d(51) { ! alpha9( X, Y ), alpha10( X, Z )
% 29.19/29.62 , ! Y = Z }.
% 29.19/29.62 (840) {G3,W6,D2,L2,V2,M2} Q(839) { ! alpha9( X, Y ), alpha10( X, Y ) }.
% 29.19/29.62 (865) {G4,W11,D4,L2,V2,M2} R(840,49) { ! alpha9( X, Y ), singleton( skol10
% 29.19/29.62 ( X, Y ) ) ==> skol17( X, Y ) }.
% 29.19/29.62 (866) {G4,W8,D3,L2,V2,M2} R(840,48) { ! alpha9( X, Y ), in( skol10( X, Y )
% 29.19/29.62 , X ) }.
% 29.19/29.62 (867) {G4,W12,D4,L2,V2,M2} R(840,47) { ! alpha9( X, Y ), ordered_pair(
% 29.19/29.62 skol10( X, Y ), skol17( X, Y ) ) ==> Y }.
% 29.19/29.62 (1142) {G1,W15,D3,L4,V4,M4} R(63,60) { ! in( X, Y ), ! Z = singleton( X ),
% 29.19/29.62 ! ordered_pair( X, Z ) = T, alpha2( Y, T ) }.
% 29.19/29.62 (1179) {G2,W12,D3,L3,V3,M3} Q(1142) { ! in( X, Y ), ! Z = singleton( X ),
% 29.19/29.62 alpha2( Y, ordered_pair( X, Z ) ) }.
% 29.19/29.62 (1180) {G3,W9,D4,L2,V2,M2} Q(1179) { ! in( X, Y ), alpha2( Y, ordered_pair
% 29.19/29.62 ( X, singleton( X ) ) ) }.
% 29.19/29.62 (1535) {G2,W8,D3,L2,V1,M2} R(81,7) { in( skol20( X ), X ), alpha1( skol1,
% 29.19/29.62 skol20( X ) ) }.
% 29.19/29.62 (1536) {G2,W10,D3,L2,V1,M2} R(81,6) { in( skol20( X ), X ), in( skol20( X )
% 29.19/29.62 , cartesian_product2( skol1, skol13 ) ) }.
% 29.19/29.62 (2430) {G3,W6,D2,L2,V2,M2} R(191,74);d(201);d(9) { ! alpha1( X, Y ), alpha9
% 29.19/29.62 ( X, Y ) }.
% 29.19/29.62 (4831) {G2,W15,D2,L4,V6,M4} P(62,239) { ! Z = Y, alpha3( T, X, Z ), !
% 29.19/29.62 alpha5( T, X, U ), ! alpha5( W, X, Y ) }.
% 29.19/29.62 (4833) {G3,W11,D2,L3,V4,M3} F(4831) { ! X = Y, alpha3( Z, T, X ), ! alpha5
% 29.19/29.62 ( Z, T, Y ) }.
% 29.19/29.62 (4834) {G4,W8,D2,L2,V3,M2} Q(4833) { alpha3( X, Y, Z ), ! alpha5( X, Y, Z )
% 29.19/29.62 }.
% 29.19/29.62 (4849) {G5,W9,D3,L2,V3,M2} R(4834,64) { ! alpha5( X, Y, Z ), alpha1( X,
% 29.19/29.62 ordered_pair( Y, Z ) ) }.
% 29.19/29.62 (5090) {G6,W6,D2,L2,V2,M2} R(4849,59);d(58) { ! alpha2( X, Y ), alpha1( X,
% 29.19/29.62 Y ) }.
% 29.19/29.62 (5354) {G5,W9,D2,L3,V3,M3} R(252,866);d(865);d(867) { alpha1( X, Z ), !
% 29.19/29.62 alpha9( X, Y ), ! Y = Z }.
% 29.19/29.62 (5363) {G6,W6,D2,L2,V2,M2} Q(5354) { alpha1( X, Y ), ! alpha9( X, Y ) }.
% 29.19/29.62 (5375) {G7,W11,D4,L2,V2,M2} R(5363,201) { ! alpha9( X, Y ), singleton(
% 29.19/29.62 skol2( X, Y ) ) ==> skol14( X, Y ) }.
% 29.19/29.62 (5378) {G7,W8,D3,L2,V2,M2} R(5363,191) { ! alpha9( X, Y ), in( skol2( X, Y
% 29.19/29.62 ), X ) }.
% 29.19/29.62 (5392) {G7,W12,D4,L2,V2,M2} R(5363,9) { ! alpha9( X, Y ), ordered_pair(
% 29.19/29.62 skol2( X, Y ), skol14( X, Y ) ) ==> Y }.
% 29.19/29.62 (6800) {G4,W11,D3,L2,V3,M2} S(301);r(509) { ! in( Y, skol7( X, Z ) ),
% 29.19/29.62 skol15( X, Z, Y ) ==> Y }.
% 29.19/29.62 (6888) {G4,W8,D3,L2,V3,M2} S(302);r(509) { ! in( Y, skol7( X, Z ) ), alpha2
% 29.19/29.62 ( X, Y ) }.
% 29.19/29.62 (6942) {G7,W8,D3,L2,V3,M2} R(6888,5090) { ! in( X, skol7( Y, Z ) ), alpha1
% 29.19/29.62 ( Y, X ) }.
% 29.19/29.62 (7121) {G8,W12,D4,L2,V2,M2} R(6942,1535) { alpha1( X, skol20( skol7( X, Y )
% 29.19/29.62 ) ), alpha1( skol1, skol20( skol7( X, Y ) ) ) }.
% 29.19/29.62 (7154) {G9,W6,D4,L1,V1,M1} F(7121) { alpha1( skol1, skol20( skol7( skol1, X
% 29.19/29.62 ) ) ) }.
% 29.19/29.62 (7181) {G10,W6,D4,L1,V1,M1} R(7154,2430) { alpha9( skol1, skol20( skol7(
% 29.19/29.62 skol1, X ) ) ) }.
% 29.19/29.62 (9180) {G8,W6,D2,L2,V2,M2} R(1180,5378);d(5375);d(5392) { ! alpha9( X, Y )
% 29.19/29.62 , alpha2( X, Y ) }.
% 29.19/29.62 (9208) {G11,W6,D4,L1,V1,M1} R(9180,7181) { alpha2( skol1, skol20( skol7(
% 29.19/29.62 skol1, X ) ) ) }.
% 29.19/29.62 (9272) {G12,W10,D4,L1,V1,M1} R(9208,75) { alpha4( skol1, skol20( skol7(
% 29.19/29.62 skol1, X ) ), skol20( skol7( skol1, X ) ) ) }.
% 29.19/29.62 (29976) {G5,W14,D3,L3,V2,M3} R(1536,515) { in( skol20( X ), X ), ! alpha4(
% 29.19/29.62 skol1, Y, skol20( X ) ), in( Y, skol7( skol1, skol13 ) ) }.
% 29.19/29.62 (30015) {G13,W8,D4,L1,V0,M1} F(29976);r(9272) { in( skol20( skol7( skol1,
% 29.19/29.62 skol13 ) ), skol7( skol1, skol13 ) ) }.
% 29.19/29.62 (30057) {G14,W8,D4,L1,V0,M1} R(30015,85);r(7154) { ! in( skol20( skol7(
% 29.19/29.62 skol1, skol13 ) ), cartesian_product2( skol1, skol13 ) ) }.
% 29.19/29.62 (54777) {G5,W15,D3,L3,V4,M3} P(6800,517) { ! in( T, skol7( X, Y ) ), in( Z
% 29.19/29.62 , cartesian_product2( X, Y ) ), ! in( Z, skol7( X, Y ) ) }.
% 29.19/29.62 (54784) {G6,W10,D3,L2,V3,M2} F(54777) { ! in( X, skol7( Y, Z ) ), in( X,
% 29.19/29.62 cartesian_product2( Y, Z ) ) }.
% 29.19/29.62 (54797) {G15,W0,D0,L0,V0,M0} R(54784,30057);r(30015) { }.
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 % SZS output end Refutation
% 29.19/29.62 found a proof!
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Unprocessed initial clauses:
% 29.19/29.62
% 29.19/29.62 (54799) {G0,W11,D3,L2,V1,M2} { alpha8( skol1, skol13, X, skol20( X ) ),
% 29.19/29.62 alpha6( skol1, skol13, skol20( X ) ) }.
% 29.19/29.62 (54800) {G0,W10,D3,L2,V1,M2} { alpha8( skol1, skol13, X, skol20( X ) ), !
% 29.19/29.62 in( skol20( X ), X ) }.
% 29.19/29.62 (54801) {G0,W8,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), in( T, Z ) }.
% 29.19/29.62 (54802) {G0,W13,D3,L3,V4,M3} { ! alpha8( X, Y, Z, T ), ! in( T,
% 29.19/29.62 cartesian_product2( X, Y ) ), ! alpha1( X, T ) }.
% 29.19/29.62 (54803) {G0,W13,D3,L3,V4,M3} { ! in( T, Z ), in( T, cartesian_product2( X
% 29.19/29.62 , Y ) ), alpha8( X, Y, Z, T ) }.
% 29.19/29.62 (54804) {G0,W11,D2,L3,V4,M3} { ! in( T, Z ), alpha1( X, T ), alpha8( X, Y
% 29.19/29.62 , Z, T ) }.
% 29.19/29.62 (54805) {G0,W9,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), in( Z,
% 29.19/29.62 cartesian_product2( X, Y ) ) }.
% 29.19/29.62 (54806) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), alpha1( X, Z ) }.
% 29.19/29.62 (54807) {G0,W12,D3,L3,V3,M3} { ! in( Z, cartesian_product2( X, Y ) ), !
% 29.19/29.62 alpha1( X, Z ), alpha6( X, Y, Z ) }.
% 29.19/29.62 (54808) {G0,W12,D4,L2,V2,M2} { ! alpha1( X, Y ), ordered_pair( skol2( X, Y
% 29.19/29.62 ), skol14( X, Y ) ) = Y }.
% 29.19/29.62 (54809) {G0,W11,D3,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, skol2( X, Y )
% 29.19/29.62 , skol14( X, Y ) ) }.
% 29.19/29.62 (54810) {G0,W12,D3,L3,V4,M3} { ! ordered_pair( Z, T ) = Y, ! alpha3( X, Z
% 29.19/29.62 , T ), alpha1( X, Y ) }.
% 29.19/29.62 (54811) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 29.19/29.62 (54812) {G0,W8,D3,L2,V3,M2} { ! alpha3( X, Y, Z ), Z = singleton( Y ) }.
% 29.19/29.62 (54813) {G0,W11,D3,L3,V3,M3} { ! in( Y, X ), ! Z = singleton( Y ), alpha3
% 29.19/29.62 ( X, Y, Z ) }.
% 29.19/29.62 (54814) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 29.19/29.62 (54815) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 29.19/29.62 (54816) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 29.19/29.62 epsilon_connected( X ), ordinal( X ) }.
% 29.19/29.62 (54817) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol3 ) }.
% 29.19/29.62 (54818) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol3 ) }.
% 29.19/29.62 (54819) {G0,W2,D2,L1,V0,M1} { ordinal( skol3 ) }.
% 29.19/29.62 (54820) {G0,W2,D2,L1,V0,M1} { ! empty( skol4 ) }.
% 29.19/29.62 (54821) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol4 ) }.
% 29.19/29.62 (54822) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol4 ) }.
% 29.19/29.62 (54823) {G0,W2,D2,L1,V0,M1} { ordinal( skol4 ) }.
% 29.19/29.62 (54824) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 29.19/29.62 (54825) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_transitive( X ) }.
% 29.19/29.62 (54826) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X ) }.
% 29.19/29.62 (54827) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 29.19/29.62 (54828) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 29.19/29.62 (54829) {G0,W2,D2,L1,V0,M1} { ! empty( skol6 ) }.
% 29.19/29.62 (54830) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 29.19/29.62 (54831) {G0,W1,D1,L1,V0,M1} { && }.
% 29.19/29.62 (54832) {G0,W1,D1,L1,V0,M1} { && }.
% 29.19/29.62 (54833) {G0,W1,D1,L1,V0,M1} { && }.
% 29.19/29.62 (54834) {G0,W4,D3,L1,V2,M1} { ! empty( ordered_pair( X, Y ) ) }.
% 29.19/29.62 (54835) {G0,W15,D3,L3,V4,M3} { alpha7( X ), ! in( Z, skol7( X, Y ) ), in(
% 29.19/29.62 skol15( X, Y, T ), cartesian_product2( X, Y ) ) }.
% 29.19/29.62 (54836) {G0,W14,D3,L3,V3,M3} { alpha7( X ), ! in( Z, skol7( X, Y ) ),
% 29.19/29.62 alpha4( X, Z, skol15( X, Y, Z ) ) }.
% 29.19/29.62 (54837) {G0,W16,D3,L4,V4,M4} { alpha7( X ), ! in( T, cartesian_product2( X
% 29.19/29.62 , Y ) ), ! alpha4( X, Z, T ), in( Z, skol7( X, Y ) ) }.
% 29.19/29.62 (54838) {G0,W8,D3,L2,V1,M2} { ! alpha7( X ), alpha11( X, skol8( X ),
% 29.19/29.62 skol16( X ) ) }.
% 29.19/29.62 (54839) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), ! skol8( X ) = skol16( X )
% 29.19/29.62 }.
% 29.19/29.62 (54840) {G0,W9,D2,L3,V3,M3} { ! alpha11( X, Y, Z ), Y = Z, alpha7( X ) }.
% 29.19/29.62 (54841) {G0,W10,D3,L2,V5,M2} { ! alpha11( X, Y, Z ), skol9( T, U, Z ) = Z
% 29.19/29.62 }.
% 29.19/29.62 (54842) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha10( X, Z ) }.
% 29.19/29.62 (54843) {G0,W11,D3,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha12( X, Y, skol9
% 29.19/29.62 ( X, Y, Z ) ) }.
% 29.19/29.62 (54844) {G0,W14,D2,L4,V4,M4} { ! alpha12( X, Y, T ), ! T = Z, ! alpha10( X
% 29.19/29.62 , Z ), alpha11( X, Y, Z ) }.
% 29.19/29.62 (54845) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), Z = Y }.
% 29.19/29.62 (54846) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha9( X, Y ) }.
% 29.19/29.62 (54847) {G0,W10,D2,L3,V3,M3} { ! Z = Y, ! alpha9( X, Y ), alpha12( X, Y, Z
% 29.19/29.62 ) }.
% 29.19/29.62 (54848) {G0,W12,D4,L2,V2,M2} { ! alpha10( X, Y ), ordered_pair( skol10( X
% 29.19/29.62 , Y ), skol17( X, Y ) ) = Y }.
% 29.19/29.62 (54849) {G0,W8,D3,L2,V2,M2} { ! alpha10( X, Y ), in( skol10( X, Y ), X )
% 29.19/29.62 }.
% 29.19/29.62 (54850) {G0,W11,D4,L2,V2,M2} { ! alpha10( X, Y ), skol17( X, Y ) =
% 29.19/29.62 singleton( skol10( X, Y ) ) }.
% 29.19/29.62 (54851) {G0,W15,D3,L4,V4,M4} { ! ordered_pair( Z, T ) = Y, ! in( Z, X ), !
% 29.19/29.62 T = singleton( Z ), alpha10( X, Y ) }.
% 29.19/29.62 (54852) {G0,W12,D4,L2,V2,M2} { ! alpha9( X, Y ), ordered_pair( skol11( X,
% 29.19/29.62 Y ), skol18( X, Y ) ) = Y }.
% 29.19/29.62 (54853) {G0,W8,D3,L2,V2,M2} { ! alpha9( X, Y ), in( skol11( X, Y ), X )
% 29.19/29.62 }.
% 29.19/29.62 (54854) {G0,W11,D4,L2,V2,M2} { ! alpha9( X, Y ), skol18( X, Y ) =
% 29.19/29.62 singleton( skol11( X, Y ) ) }.
% 29.19/29.62 (54855) {G0,W15,D3,L4,V4,M4} { ! ordered_pair( Z, T ) = Y, ! in( Z, X ), !
% 29.19/29.62 T = singleton( Z ), alpha9( X, Y ) }.
% 29.19/29.62 (54856) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), Z = Y }.
% 29.19/29.62 (54857) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha2( X, Y ) }.
% 29.19/29.62 (54858) {G0,W10,D2,L3,V3,M3} { ! Z = Y, ! alpha2( X, Y ), alpha4( X, Y, Z
% 29.19/29.62 ) }.
% 29.19/29.62 (54859) {G0,W12,D4,L2,V2,M2} { ! alpha2( X, Y ), ordered_pair( skol12( X,
% 29.19/29.62 Y ), skol19( X, Y ) ) = Y }.
% 29.19/29.62 (54860) {G0,W11,D3,L2,V2,M2} { ! alpha2( X, Y ), alpha5( X, skol12( X, Y )
% 29.19/29.62 , skol19( X, Y ) ) }.
% 29.19/29.62 (54861) {G0,W12,D3,L3,V4,M3} { ! ordered_pair( Z, T ) = Y, ! alpha5( X, Z
% 29.19/29.62 , T ), alpha2( X, Y ) }.
% 29.19/29.62 (54862) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), in( Y, X ) }.
% 29.19/29.62 (54863) {G0,W8,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), Z = singleton( Y ) }.
% 29.19/29.62 (54864) {G0,W11,D3,L3,V3,M3} { ! in( Y, X ), ! Z = singleton( Y ), alpha5
% 29.19/29.62 ( X, Y, Z ) }.
% 29.19/29.62
% 29.19/29.62
% 29.19/29.62 Total Proof:
% 29.19/29.62
% 29.19/29.62 subsumption: (0) {G0,W11,D3,L2,V1,M2} I { alpha8( skol1, skol13, X, skol20
% 29.19/29.62 ( X ) ), alpha6( skol1, skol13, skol20( X ) ) }.
% 29.19/29.62 parent0: (54799) {G0,W11,D3,L2,V1,M2} { alpha8( skol1, skol13, X, skol20(
% 29.19/29.62 X ) ), alpha6( skol1, skol13, skol20( X ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (1) {G0,W10,D3,L2,V1,M2} I { alpha8( skol1, skol13, X, skol20
% 29.19/29.62 ( X ) ), ! in( skol20( X ), X ) }.
% 29.19/29.62 parent0: (54800) {G0,W10,D3,L2,V1,M2} { alpha8( skol1, skol13, X, skol20(
% 29.19/29.62 X ) ), ! in( skol20( X ), X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (2) {G0,W8,D2,L2,V4,M2} I { ! alpha8( X, Y, Z, T ), in( T, Z )
% 29.19/29.62 }.
% 29.19/29.62 parent0: (54801) {G0,W8,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), in( T, Z )
% 29.19/29.62 }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (3) {G0,W13,D3,L3,V4,M3} I { ! alpha8( X, Y, Z, T ), ! in( T,
% 29.19/29.62 cartesian_product2( X, Y ) ), ! alpha1( X, T ) }.
% 29.19/29.62 parent0: (54802) {G0,W13,D3,L3,V4,M3} { ! alpha8( X, Y, Z, T ), ! in( T,
% 29.19/29.62 cartesian_product2( X, Y ) ), ! alpha1( X, T ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (6) {G0,W9,D3,L2,V3,M2} I { ! alpha6( X, Y, Z ), in( Z,
% 29.19/29.62 cartesian_product2( X, Y ) ) }.
% 29.19/29.62 parent0: (54805) {G0,W9,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), in( Z,
% 29.19/29.62 cartesian_product2( X, Y ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha1( X, Z
% 29.19/29.62 ) }.
% 29.19/29.62 parent0: (54806) {G0,W7,D2,L2,V3,M2} { ! alpha6( X, Y, Z ), alpha1( X, Z )
% 29.19/29.62 }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (9) {G0,W12,D4,L2,V2,M2} I { ! alpha1( X, Y ), ordered_pair(
% 29.19/29.62 skol2( X, Y ), skol14( X, Y ) ) ==> Y }.
% 29.19/29.62 parent0: (54808) {G0,W12,D4,L2,V2,M2} { ! alpha1( X, Y ), ordered_pair(
% 29.19/29.62 skol2( X, Y ), skol14( X, Y ) ) = Y }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (10) {G0,W11,D3,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X,
% 29.19/29.62 skol2( X, Y ), skol14( X, Y ) ) }.
% 29.19/29.62 parent0: (54809) {G0,W11,D3,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, skol2
% 29.19/29.62 ( X, Y ), skol14( X, Y ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (11) {G0,W12,D3,L3,V4,M3} I { ! ordered_pair( Z, T ) = Y, !
% 29.19/29.62 alpha3( X, Z, T ), alpha1( X, Y ) }.
% 29.19/29.62 parent0: (54810) {G0,W12,D3,L3,V4,M3} { ! ordered_pair( Z, T ) = Y, !
% 29.19/29.62 alpha3( X, Z, T ), alpha1( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (12) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Y, X )
% 29.19/29.62 }.
% 29.19/29.62 parent0: (54811) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), in( Y, X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (13) {G0,W8,D3,L2,V3,M2} I { ! alpha3( X, Y, Z ), Z =
% 29.19/29.62 singleton( Y ) }.
% 29.19/29.62 parent0: (54812) {G0,W8,D3,L2,V3,M2} { ! alpha3( X, Y, Z ), Z = singleton
% 29.19/29.62 ( Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (14) {G0,W11,D3,L3,V3,M3} I { ! in( Y, X ), ! Z = singleton( Y
% 29.19/29.62 ), alpha3( X, Y, Z ) }.
% 29.19/29.62 parent0: (54813) {G0,W11,D3,L3,V3,M3} { ! in( Y, X ), ! Z = singleton( Y )
% 29.19/29.62 , alpha3( X, Y, Z ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (34) {G0,W15,D3,L3,V4,M3} I { alpha7( X ), ! in( Z, skol7( X,
% 29.19/29.62 Y ) ), in( skol15( X, Y, T ), cartesian_product2( X, Y ) ) }.
% 29.19/29.62 parent0: (54835) {G0,W15,D3,L3,V4,M3} { alpha7( X ), ! in( Z, skol7( X, Y
% 29.19/29.62 ) ), in( skol15( X, Y, T ), cartesian_product2( X, Y ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (35) {G0,W14,D3,L3,V3,M3} I { alpha7( X ), ! in( Z, skol7( X,
% 29.19/29.62 Y ) ), alpha4( X, Z, skol15( X, Y, Z ) ) }.
% 29.19/29.62 parent0: (54836) {G0,W14,D3,L3,V3,M3} { alpha7( X ), ! in( Z, skol7( X, Y
% 29.19/29.62 ) ), alpha4( X, Z, skol15( X, Y, Z ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (36) {G0,W16,D3,L4,V4,M4} I { alpha7( X ), ! in( T,
% 29.19/29.62 cartesian_product2( X, Y ) ), ! alpha4( X, Z, T ), in( Z, skol7( X, Y ) )
% 29.19/29.62 }.
% 29.19/29.62 parent0: (54837) {G0,W16,D3,L4,V4,M4} { alpha7( X ), ! in( T,
% 29.19/29.62 cartesian_product2( X, Y ) ), ! alpha4( X, Z, T ), in( Z, skol7( X, Y ) )
% 29.19/29.62 }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 3 ==> 3
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (37) {G0,W8,D3,L2,V1,M2} I { ! alpha7( X ), alpha11( X, skol8
% 29.19/29.62 ( X ), skol16( X ) ) }.
% 29.19/29.62 parent0: (54838) {G0,W8,D3,L2,V1,M2} { ! alpha7( X ), alpha11( X, skol8( X
% 29.19/29.62 ), skol16( X ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqswap: (54903) {G0,W7,D3,L2,V1,M2} { ! skol16( X ) = skol8( X ), ! alpha7
% 29.19/29.62 ( X ) }.
% 29.19/29.62 parent0[1]: (54839) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), ! skol8( X ) =
% 29.19/29.62 skol16( X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (38) {G0,W7,D3,L2,V1,M2} I { ! alpha7( X ), ! skol16( X ) ==>
% 29.19/29.62 skol8( X ) }.
% 29.19/29.62 parent0: (54903) {G0,W7,D3,L2,V1,M2} { ! skol16( X ) = skol8( X ), !
% 29.19/29.62 alpha7( X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 1
% 29.19/29.62 1 ==> 0
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (40) {G0,W10,D3,L2,V5,M2} I { ! alpha11( X, Y, Z ), skol9( T,
% 29.19/29.62 U, Z ) ==> Z }.
% 29.19/29.62 parent0: (54841) {G0,W10,D3,L2,V5,M2} { ! alpha11( X, Y, Z ), skol9( T, U
% 29.19/29.62 , Z ) = Z }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 U := U
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (42) {G0,W11,D3,L2,V3,M2} I { ! alpha11( X, Y, Z ), alpha12( X
% 29.19/29.62 , Y, skol9( X, Y, Z ) ) }.
% 29.19/29.62 parent0: (54843) {G0,W11,D3,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha12( X,
% 29.19/29.62 Y, skol9( X, Y, Z ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (44) {G0,W7,D2,L2,V3,M2} I { ! alpha12( X, Y, Z ), Z = Y }.
% 29.19/29.62 parent0: (54845) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), Z = Y }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (47) {G0,W12,D4,L2,V2,M2} I { ! alpha10( X, Y ), ordered_pair
% 29.19/29.62 ( skol10( X, Y ), skol17( X, Y ) ) ==> Y }.
% 29.19/29.62 parent0: (54848) {G0,W12,D4,L2,V2,M2} { ! alpha10( X, Y ), ordered_pair(
% 29.19/29.62 skol10( X, Y ), skol17( X, Y ) ) = Y }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (48) {G0,W8,D3,L2,V2,M2} I { ! alpha10( X, Y ), in( skol10( X
% 29.19/29.62 , Y ), X ) }.
% 29.19/29.62 parent0: (54849) {G0,W8,D3,L2,V2,M2} { ! alpha10( X, Y ), in( skol10( X, Y
% 29.19/29.62 ), X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqswap: (54966) {G0,W11,D4,L2,V2,M2} { singleton( skol10( X, Y ) ) =
% 29.19/29.62 skol17( X, Y ), ! alpha10( X, Y ) }.
% 29.19/29.62 parent0[1]: (54850) {G0,W11,D4,L2,V2,M2} { ! alpha10( X, Y ), skol17( X, Y
% 29.19/29.62 ) = singleton( skol10( X, Y ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (49) {G0,W11,D4,L2,V2,M2} I { ! alpha10( X, Y ), singleton(
% 29.19/29.62 skol10( X, Y ) ) ==> skol17( X, Y ) }.
% 29.19/29.62 parent0: (54966) {G0,W11,D4,L2,V2,M2} { singleton( skol10( X, Y ) ) =
% 29.19/29.62 skol17( X, Y ), ! alpha10( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 1
% 29.19/29.62 1 ==> 0
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (50) {G0,W15,D3,L4,V4,M4} I { ! ordered_pair( Z, T ) = Y, ! in
% 29.19/29.62 ( Z, X ), ! T = singleton( Z ), alpha10( X, Y ) }.
% 29.19/29.62 parent0: (54851) {G0,W15,D3,L4,V4,M4} { ! ordered_pair( Z, T ) = Y, ! in(
% 29.19/29.62 Z, X ), ! T = singleton( Z ), alpha10( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 3 ==> 3
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (51) {G0,W12,D4,L2,V2,M2} I { ! alpha9( X, Y ), ordered_pair(
% 29.19/29.62 skol11( X, Y ), skol18( X, Y ) ) ==> Y }.
% 29.19/29.62 parent0: (54852) {G0,W12,D4,L2,V2,M2} { ! alpha9( X, Y ), ordered_pair(
% 29.19/29.62 skol11( X, Y ), skol18( X, Y ) ) = Y }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (52) {G0,W8,D3,L2,V2,M2} I { ! alpha9( X, Y ), in( skol11( X,
% 29.19/29.62 Y ), X ) }.
% 29.19/29.62 parent0: (54853) {G0,W8,D3,L2,V2,M2} { ! alpha9( X, Y ), in( skol11( X, Y
% 29.19/29.62 ), X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqswap: (55034) {G0,W11,D4,L2,V2,M2} { singleton( skol11( X, Y ) ) =
% 29.19/29.62 skol18( X, Y ), ! alpha9( X, Y ) }.
% 29.19/29.62 parent0[1]: (54854) {G0,W11,D4,L2,V2,M2} { ! alpha9( X, Y ), skol18( X, Y
% 29.19/29.62 ) = singleton( skol11( X, Y ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (53) {G0,W11,D4,L2,V2,M2} I { ! alpha9( X, Y ), singleton(
% 29.19/29.62 skol11( X, Y ) ) ==> skol18( X, Y ) }.
% 29.19/29.62 parent0: (55034) {G0,W11,D4,L2,V2,M2} { singleton( skol11( X, Y ) ) =
% 29.19/29.62 skol18( X, Y ), ! alpha9( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 1
% 29.19/29.62 1 ==> 0
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (54) {G0,W15,D3,L4,V4,M4} I { ! ordered_pair( Z, T ) = Y, ! in
% 29.19/29.62 ( Z, X ), ! T = singleton( Z ), alpha9( X, Y ) }.
% 29.19/29.62 parent0: (54855) {G0,W15,D3,L4,V4,M4} { ! ordered_pair( Z, T ) = Y, ! in(
% 29.19/29.62 Z, X ), ! T = singleton( Z ), alpha9( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 3 ==> 3
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (55) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), Z = Y }.
% 29.19/29.62 parent0: (54856) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), Z = Y }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (56) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), alpha2( X, Y
% 29.19/29.62 ) }.
% 29.19/29.62 parent0: (54857) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), alpha2( X, Y )
% 29.19/29.62 }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (57) {G0,W10,D2,L3,V3,M3} I { ! Z = Y, ! alpha2( X, Y ),
% 29.19/29.62 alpha4( X, Y, Z ) }.
% 29.19/29.62 parent0: (54858) {G0,W10,D2,L3,V3,M3} { ! Z = Y, ! alpha2( X, Y ), alpha4
% 29.19/29.62 ( X, Y, Z ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (58) {G0,W12,D4,L2,V2,M2} I { ! alpha2( X, Y ), ordered_pair(
% 29.19/29.62 skol12( X, Y ), skol19( X, Y ) ) ==> Y }.
% 29.19/29.62 parent0: (54859) {G0,W12,D4,L2,V2,M2} { ! alpha2( X, Y ), ordered_pair(
% 29.19/29.62 skol12( X, Y ), skol19( X, Y ) ) = Y }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (59) {G0,W11,D3,L2,V2,M2} I { ! alpha2( X, Y ), alpha5( X,
% 29.19/29.62 skol12( X, Y ), skol19( X, Y ) ) }.
% 29.19/29.62 parent0: (54860) {G0,W11,D3,L2,V2,M2} { ! alpha2( X, Y ), alpha5( X,
% 29.19/29.62 skol12( X, Y ), skol19( X, Y ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (60) {G0,W12,D3,L3,V4,M3} I { ! ordered_pair( Z, T ) = Y, !
% 29.19/29.62 alpha5( X, Z, T ), alpha2( X, Y ) }.
% 29.19/29.62 parent0: (54861) {G0,W12,D3,L3,V4,M3} { ! ordered_pair( Z, T ) = Y, !
% 29.19/29.62 alpha5( X, Z, T ), alpha2( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 T := T
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (61) {G0,W7,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), in( Y, X )
% 29.19/29.62 }.
% 29.19/29.62 parent0: (54862) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), in( Y, X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (62) {G0,W8,D3,L2,V3,M2} I { ! alpha5( X, Y, Z ), Z =
% 29.19/29.62 singleton( Y ) }.
% 29.19/29.62 parent0: (54863) {G0,W8,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), Z = singleton
% 29.19/29.62 ( Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (63) {G0,W11,D3,L3,V3,M3} I { ! in( Y, X ), ! Z = singleton( Y
% 29.19/29.62 ), alpha5( X, Y, Z ) }.
% 29.19/29.62 parent0: (54864) {G0,W11,D3,L3,V3,M3} { ! in( Y, X ), ! Z = singleton( Y )
% 29.19/29.62 , alpha5( X, Y, Z ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqswap: (55274) {G0,W12,D3,L3,V4,M3} { ! Z = ordered_pair( X, Y ), !
% 29.19/29.62 alpha3( T, X, Y ), alpha1( T, Z ) }.
% 29.19/29.62 parent0[0]: (11) {G0,W12,D3,L3,V4,M3} I { ! ordered_pair( Z, T ) = Y, !
% 29.19/29.62 alpha3( X, Z, T ), alpha1( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := T
% 29.19/29.62 Y := Z
% 29.19/29.62 Z := X
% 29.19/29.62 T := Y
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqrefl: (55275) {G0,W9,D3,L2,V3,M2} { ! alpha3( Z, X, Y ), alpha1( Z,
% 29.19/29.62 ordered_pair( X, Y ) ) }.
% 29.19/29.62 parent0[0]: (55274) {G0,W12,D3,L3,V4,M3} { ! Z = ordered_pair( X, Y ), !
% 29.19/29.62 alpha3( T, X, Y ), alpha1( T, Z ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := ordered_pair( X, Y )
% 29.19/29.62 T := Z
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (64) {G1,W9,D3,L2,V3,M2} Q(11) { ! alpha3( X, Y, Z ), alpha1(
% 29.19/29.62 X, ordered_pair( Y, Z ) ) }.
% 29.19/29.62 parent0: (55275) {G0,W9,D3,L2,V3,M2} { ! alpha3( Z, X, Y ), alpha1( Z,
% 29.19/29.62 ordered_pair( X, Y ) ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := Y
% 29.19/29.62 Y := Z
% 29.19/29.62 Z := X
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqswap: (55276) {G0,W15,D3,L4,V4,M4} { ! Z = ordered_pair( X, Y ), ! in( X
% 29.19/29.62 , T ), ! Y = singleton( X ), alpha9( T, Z ) }.
% 29.19/29.62 parent0[0]: (54) {G0,W15,D3,L4,V4,M4} I { ! ordered_pair( Z, T ) = Y, ! in
% 29.19/29.62 ( Z, X ), ! T = singleton( Z ), alpha9( X, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := T
% 29.19/29.62 Y := Z
% 29.19/29.62 Z := X
% 29.19/29.62 T := Y
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqrefl: (55280) {G0,W12,D4,L3,V3,M3} { ! X = ordered_pair( Y, singleton( Y
% 29.19/29.62 ) ), ! in( Y, Z ), alpha9( Z, X ) }.
% 29.19/29.62 parent0[2]: (55276) {G0,W15,D3,L4,V4,M4} { ! Z = ordered_pair( X, Y ), !
% 29.19/29.62 in( X, T ), ! Y = singleton( X ), alpha9( T, Z ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := Y
% 29.19/29.62 Y := singleton( Y )
% 29.19/29.62 Z := X
% 29.19/29.62 T := Z
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqswap: (55281) {G0,W12,D4,L3,V3,M3} { ! ordered_pair( Y, singleton( Y ) )
% 29.19/29.62 = X, ! in( Y, Z ), alpha9( Z, X ) }.
% 29.19/29.62 parent0[0]: (55280) {G0,W12,D4,L3,V3,M3} { ! X = ordered_pair( Y,
% 29.19/29.62 singleton( Y ) ), ! in( Y, Z ), alpha9( Z, X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 subsumption: (73) {G1,W12,D4,L3,V3,M3} Q(54) { ! ordered_pair( X, singleton
% 29.19/29.62 ( X ) ) = Y, ! in( X, Z ), alpha9( Z, Y ) }.
% 29.19/29.62 parent0: (55281) {G0,W12,D4,L3,V3,M3} { ! ordered_pair( Y, singleton( Y )
% 29.19/29.62 ) = X, ! in( Y, Z ), alpha9( Z, X ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := Y
% 29.19/29.62 Y := X
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62 permutation0:
% 29.19/29.62 0 ==> 0
% 29.19/29.62 1 ==> 1
% 29.19/29.62 2 ==> 2
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqswap: (55283) {G1,W12,D4,L3,V3,M3} { ! Y = ordered_pair( X, singleton( X
% 29.19/29.62 ) ), ! in( X, Z ), alpha9( Z, Y ) }.
% 29.19/29.62 parent0[0]: (73) {G1,W12,D4,L3,V3,M3} Q(54) { ! ordered_pair( X, singleton
% 29.19/29.62 ( X ) ) = Y, ! in( X, Z ), alpha9( Z, Y ) }.
% 29.19/29.62 substitution0:
% 29.19/29.62 X := X
% 29.19/29.62 Y := Y
% 29.19/29.62 Z := Z
% 29.19/29.62 end
% 29.19/29.62
% 29.19/29.62 eqrefl: (55284) {G0,W9,D4,L2,V2,M2} { ! in( X, Y ), alpha9( Y,
% 29.19/29.63 ordered_pair( X, singleton( X ) ) ) }.
% 29.19/29.63 parent0[0]: (55283) {G1,W12,D4,L3,V3,M3} { ! Y = ordered_pair( X,
% 29.19/29.63 singleton( X ) ), ! in( X, Z ), alpha9( Z, Y ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 Y := ordered_pair( X, singleton( X ) )
% 29.19/29.63 Z := Y
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 subsumption: (74) {G2,W9,D4,L2,V2,M2} Q(73) { ! in( X, Y ), alpha9( Y,
% 29.19/29.63 ordered_pair( X, singleton( X ) ) ) }.
% 29.19/29.63 parent0: (55284) {G0,W9,D4,L2,V2,M2} { ! in( X, Y ), alpha9( Y,
% 29.19/29.63 ordered_pair( X, singleton( X ) ) ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 Y := Y
% 29.19/29.63 end
% 29.19/29.63 permutation0:
% 29.19/29.63 0 ==> 0
% 29.19/29.63 1 ==> 1
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqswap: (55285) {G0,W10,D2,L3,V3,M3} { ! Y = X, ! alpha2( Z, Y ), alpha4(
% 29.19/29.63 Z, Y, X ) }.
% 29.19/29.63 parent0[0]: (57) {G0,W10,D2,L3,V3,M3} I { ! Z = Y, ! alpha2( X, Y ), alpha4
% 29.19/29.63 ( X, Y, Z ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Z
% 29.19/29.63 Y := Y
% 29.19/29.63 Z := X
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqrefl: (55286) {G0,W7,D2,L2,V2,M2} { ! alpha2( Y, X ), alpha4( Y, X, X )
% 29.19/29.63 }.
% 29.19/29.63 parent0[0]: (55285) {G0,W10,D2,L3,V3,M3} { ! Y = X, ! alpha2( Z, Y ),
% 29.19/29.63 alpha4( Z, Y, X ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 Y := X
% 29.19/29.63 Z := Y
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 subsumption: (75) {G1,W7,D2,L2,V2,M2} Q(57) { ! alpha2( X, Y ), alpha4( X,
% 29.19/29.63 Y, Y ) }.
% 29.19/29.63 parent0: (55286) {G0,W7,D2,L2,V2,M2} { ! alpha2( Y, X ), alpha4( Y, X, X )
% 29.19/29.63 }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Y
% 29.19/29.63 Y := X
% 29.19/29.63 end
% 29.19/29.63 permutation0:
% 29.19/29.63 0 ==> 0
% 29.19/29.63 1 ==> 1
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 resolution: (55287) {G1,W9,D3,L2,V1,M2} { in( skol20( X ), X ), alpha6(
% 29.19/29.63 skol1, skol13, skol20( X ) ) }.
% 29.19/29.63 parent0[0]: (2) {G0,W8,D2,L2,V4,M2} I { ! alpha8( X, Y, Z, T ), in( T, Z )
% 29.19/29.63 }.
% 29.19/29.63 parent1[0]: (0) {G0,W11,D3,L2,V1,M2} I { alpha8( skol1, skol13, X, skol20(
% 29.19/29.63 X ) ), alpha6( skol1, skol13, skol20( X ) ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := skol1
% 29.19/29.63 Y := skol13
% 29.19/29.63 Z := X
% 29.19/29.63 T := skol20( X )
% 29.19/29.63 end
% 29.19/29.63 substitution1:
% 29.19/29.63 X := X
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 subsumption: (81) {G1,W9,D3,L2,V1,M2} R(2,0) { in( skol20( X ), X ), alpha6
% 29.19/29.63 ( skol1, skol13, skol20( X ) ) }.
% 29.19/29.63 parent0: (55287) {G1,W9,D3,L2,V1,M2} { in( skol20( X ), X ), alpha6( skol1
% 29.19/29.63 , skol13, skol20( X ) ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 end
% 29.19/29.63 permutation0:
% 29.19/29.63 0 ==> 0
% 29.19/29.63 1 ==> 1
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 resolution: (55288) {G1,W14,D3,L3,V1,M3} { ! in( skol20( X ),
% 29.19/29.63 cartesian_product2( skol1, skol13 ) ), ! alpha1( skol1, skol20( X ) ), !
% 29.19/29.63 in( skol20( X ), X ) }.
% 29.19/29.63 parent0[0]: (3) {G0,W13,D3,L3,V4,M3} I { ! alpha8( X, Y, Z, T ), ! in( T,
% 29.19/29.63 cartesian_product2( X, Y ) ), ! alpha1( X, T ) }.
% 29.19/29.63 parent1[0]: (1) {G0,W10,D3,L2,V1,M2} I { alpha8( skol1, skol13, X, skol20(
% 29.19/29.63 X ) ), ! in( skol20( X ), X ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := skol1
% 29.19/29.63 Y := skol13
% 29.19/29.63 Z := X
% 29.19/29.63 T := skol20( X )
% 29.19/29.63 end
% 29.19/29.63 substitution1:
% 29.19/29.63 X := X
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 subsumption: (85) {G1,W14,D3,L3,V1,M3} R(3,1) { ! in( skol20( X ),
% 29.19/29.63 cartesian_product2( skol1, skol13 ) ), ! alpha1( skol1, skol20( X ) ), !
% 29.19/29.63 in( skol20( X ), X ) }.
% 29.19/29.63 parent0: (55288) {G1,W14,D3,L3,V1,M3} { ! in( skol20( X ),
% 29.19/29.63 cartesian_product2( skol1, skol13 ) ), ! alpha1( skol1, skol20( X ) ), !
% 29.19/29.63 in( skol20( X ), X ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 end
% 29.19/29.63 permutation0:
% 29.19/29.63 0 ==> 0
% 29.19/29.63 1 ==> 1
% 29.19/29.63 2 ==> 2
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 resolution: (55290) {G1,W8,D3,L2,V2,M2} { in( skol2( X, Y ), X ), ! alpha1
% 29.19/29.63 ( X, Y ) }.
% 29.19/29.63 parent0[0]: (12) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), in( Y, X )
% 29.19/29.63 }.
% 29.19/29.63 parent1[1]: (10) {G0,W11,D3,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X,
% 29.19/29.63 skol2( X, Y ), skol14( X, Y ) ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 Y := skol2( X, Y )
% 29.19/29.63 Z := skol14( X, Y )
% 29.19/29.63 end
% 29.19/29.63 substitution1:
% 29.19/29.63 X := X
% 29.19/29.63 Y := Y
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 subsumption: (191) {G1,W8,D3,L2,V2,M2} R(12,10) { in( skol2( X, Y ), X ), !
% 29.19/29.63 alpha1( X, Y ) }.
% 29.19/29.63 parent0: (55290) {G1,W8,D3,L2,V2,M2} { in( skol2( X, Y ), X ), ! alpha1( X
% 29.19/29.63 , Y ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 Y := Y
% 29.19/29.63 end
% 29.19/29.63 permutation0:
% 29.19/29.63 0 ==> 0
% 29.19/29.63 1 ==> 1
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqswap: (55291) {G0,W8,D3,L2,V3,M2} { singleton( Y ) = X, ! alpha3( Z, Y,
% 29.19/29.63 X ) }.
% 29.19/29.63 parent0[1]: (13) {G0,W8,D3,L2,V3,M2} I { ! alpha3( X, Y, Z ), Z = singleton
% 29.19/29.63 ( Y ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Z
% 29.19/29.63 Y := Y
% 29.19/29.63 Z := X
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 resolution: (55292) {G1,W11,D4,L2,V2,M2} { singleton( skol2( X, Y ) ) =
% 29.19/29.63 skol14( X, Y ), ! alpha1( X, Y ) }.
% 29.19/29.63 parent0[1]: (55291) {G0,W8,D3,L2,V3,M2} { singleton( Y ) = X, ! alpha3( Z
% 29.19/29.63 , Y, X ) }.
% 29.19/29.63 parent1[1]: (10) {G0,W11,D3,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X,
% 29.19/29.63 skol2( X, Y ), skol14( X, Y ) ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := skol14( X, Y )
% 29.19/29.63 Y := skol2( X, Y )
% 29.19/29.63 Z := X
% 29.19/29.63 end
% 29.19/29.63 substitution1:
% 29.19/29.63 X := X
% 29.19/29.63 Y := Y
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 subsumption: (201) {G1,W11,D4,L2,V2,M2} R(13,10) { singleton( skol2( X, Y )
% 29.19/29.63 ) ==> skol14( X, Y ), ! alpha1( X, Y ) }.
% 29.19/29.63 parent0: (55292) {G1,W11,D4,L2,V2,M2} { singleton( skol2( X, Y ) ) =
% 29.19/29.63 skol14( X, Y ), ! alpha1( X, Y ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := X
% 29.19/29.63 Y := Y
% 29.19/29.63 end
% 29.19/29.63 permutation0:
% 29.19/29.63 0 ==> 0
% 29.19/29.63 1 ==> 1
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqswap: (55294) {G0,W11,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y, Z )
% 29.19/29.63 , alpha3( Z, Y, X ) }.
% 29.19/29.63 parent0[1]: (14) {G0,W11,D3,L3,V3,M3} I { ! in( Y, X ), ! Z = singleton( Y
% 29.19/29.63 ), alpha3( X, Y, Z ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Z
% 29.19/29.63 Y := Y
% 29.19/29.63 Z := X
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqswap: (55295) {G0,W12,D3,L3,V4,M3} { ! Z = ordered_pair( X, Y ), !
% 29.19/29.63 alpha3( T, X, Y ), alpha1( T, Z ) }.
% 29.19/29.63 parent0[0]: (11) {G0,W12,D3,L3,V4,M3} I { ! ordered_pair( Z, T ) = Y, !
% 29.19/29.63 alpha3( X, Z, T ), alpha1( X, Y ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := T
% 29.19/29.63 Y := Z
% 29.19/29.63 Z := X
% 29.19/29.63 T := Y
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 resolution: (55296) {G1,W15,D3,L4,V4,M4} { ! X = ordered_pair( Y, Z ),
% 29.19/29.63 alpha1( T, X ), ! singleton( Y ) = Z, ! in( Y, T ) }.
% 29.19/29.63 parent0[1]: (55295) {G0,W12,D3,L3,V4,M3} { ! Z = ordered_pair( X, Y ), !
% 29.19/29.63 alpha3( T, X, Y ), alpha1( T, Z ) }.
% 29.19/29.63 parent1[2]: (55294) {G0,W11,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y,
% 29.19/29.63 Z ), alpha3( Z, Y, X ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Y
% 29.19/29.63 Y := Z
% 29.19/29.63 Z := X
% 29.19/29.63 T := T
% 29.19/29.63 end
% 29.19/29.63 substitution1:
% 29.19/29.63 X := Z
% 29.19/29.63 Y := Y
% 29.19/29.63 Z := T
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqswap: (55298) {G1,W15,D3,L4,V4,M4} { ! Y = singleton( X ), ! Z =
% 29.19/29.63 ordered_pair( X, Y ), alpha1( T, Z ), ! in( X, T ) }.
% 29.19/29.63 parent0[2]: (55296) {G1,W15,D3,L4,V4,M4} { ! X = ordered_pair( Y, Z ),
% 29.19/29.63 alpha1( T, X ), ! singleton( Y ) = Z, ! in( Y, T ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Z
% 29.19/29.63 Y := X
% 29.19/29.63 Z := Y
% 29.19/29.63 T := T
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqswap: (55299) {G1,W15,D3,L4,V4,M4} { ! ordered_pair( Y, Z ) = X, ! Z =
% 29.19/29.63 singleton( Y ), alpha1( T, X ), ! in( Y, T ) }.
% 29.19/29.63 parent0[1]: (55298) {G1,W15,D3,L4,V4,M4} { ! Y = singleton( X ), ! Z =
% 29.19/29.63 ordered_pair( X, Y ), alpha1( T, Z ), ! in( X, T ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Y
% 29.19/29.63 Y := Z
% 29.19/29.63 Z := X
% 29.19/29.63 T := T
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 subsumption: (236) {G1,W15,D3,L4,V4,M4} R(14,11) { ! in( X, Y ), ! Z =
% 29.19/29.63 singleton( X ), ! ordered_pair( X, Z ) = T, alpha1( Y, T ) }.
% 29.19/29.63 parent0: (55299) {G1,W15,D3,L4,V4,M4} { ! ordered_pair( Y, Z ) = X, ! Z =
% 29.19/29.63 singleton( Y ), alpha1( T, X ), ! in( Y, T ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := T
% 29.19/29.63 Y := X
% 29.19/29.63 Z := Z
% 29.19/29.63 T := Y
% 29.19/29.63 end
% 29.19/29.63 permutation0:
% 29.19/29.63 0 ==> 2
% 29.19/29.63 1 ==> 1
% 29.19/29.63 2 ==> 3
% 29.19/29.63 3 ==> 0
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 eqswap: (55300) {G0,W11,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y, Z )
% 29.19/29.63 , alpha3( Z, Y, X ) }.
% 29.19/29.63 parent0[1]: (14) {G0,W11,D3,L3,V3,M3} I { ! in( Y, X ), ! Z = singleton( Y
% 29.19/29.63 ), alpha3( X, Y, Z ) }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Z
% 29.19/29.63 Y := Y
% 29.19/29.63 Z := X
% 29.19/29.63 end
% 29.19/29.63
% 29.19/29.63 resolution: (55301) {G1,W12,D3,L3,V4,M3} { ! singleton( X ) = Y, alpha3( Z
% 29.19/29.63 , X, Y ), ! alpha5( Z, X, T ) }.
% 29.19/29.63 parent0[1]: (55300) {G0,W11,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y,
% 29.19/29.63 Z ), alpha3( Z, Y, X ) }.
% 29.19/29.63 parent1[1]: (61) {G0,W7,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), in( Y, X )
% 29.19/29.63 }.
% 29.19/29.63 substitution0:
% 29.19/29.63 X := Y
% 29.19/29.63 Y := X
% 29.19/29.63 Z := Z
% 29.19/29.63 end
% 29.19/29.63 substitution1:
% 29.19/29.63 X := Z
% 29.19/29.63 Y := X
% 117.94/118.31 Z := T
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 eqswap: (55302) {G1,W12,D3,L3,V4,M3} { ! Y = singleton( X ), alpha3( Z, X
% 117.94/118.31 , Y ), ! alpha5( Z, X, T ) }.
% 117.94/118.31 parent0[0]: (55301) {G1,W12,D3,L3,V4,M3} { ! singleton( X ) = Y, alpha3( Z
% 117.94/118.31 , X, Y ), ! alpha5( Z, X, T ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := X
% 117.94/118.31 Y := Y
% 117.94/118.31 Z := Z
% 117.94/118.31 T := T
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 subsumption: (239) {G1,W12,D3,L3,V4,M3} R(14,61) { ! X = singleton( Y ),
% 117.94/118.31 alpha3( Z, Y, X ), ! alpha5( Z, Y, T ) }.
% 117.94/118.31 parent0: (55302) {G1,W12,D3,L3,V4,M3} { ! Y = singleton( X ), alpha3( Z, X
% 117.94/118.31 , Y ), ! alpha5( Z, X, T ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := Y
% 117.94/118.31 Y := X
% 117.94/118.31 Z := Z
% 117.94/118.31 T := T
% 117.94/118.31 end
% 117.94/118.31 permutation0:
% 117.94/118.31 0 ==> 0
% 117.94/118.31 1 ==> 1
% 117.94/118.31 2 ==> 2
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 eqswap: (55303) {G1,W15,D3,L4,V4,M4} { ! singleton( Y ) = X, ! in( Y, Z )
% 117.94/118.31 , ! ordered_pair( Y, X ) = T, alpha1( Z, T ) }.
% 117.94/118.31 parent0[1]: (236) {G1,W15,D3,L4,V4,M4} R(14,11) { ! in( X, Y ), ! Z =
% 117.94/118.31 singleton( X ), ! ordered_pair( X, Z ) = T, alpha1( Y, T ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := Y
% 117.94/118.31 Y := Z
% 117.94/118.31 Z := X
% 117.94/118.31 T := T
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 eqrefl: (55306) {G0,W12,D4,L3,V3,M3} { ! in( X, Y ), ! ordered_pair( X,
% 117.94/118.31 singleton( X ) ) = Z, alpha1( Y, Z ) }.
% 117.94/118.31 parent0[0]: (55303) {G1,W15,D3,L4,V4,M4} { ! singleton( Y ) = X, ! in( Y,
% 117.94/118.31 Z ), ! ordered_pair( Y, X ) = T, alpha1( Z, T ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := singleton( X )
% 117.94/118.31 Y := X
% 117.94/118.31 Z := Y
% 117.94/118.31 T := Z
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 subsumption: (252) {G2,W12,D4,L3,V3,M3} Q(236) { ! in( X, Y ), !
% 117.94/118.31 ordered_pair( X, singleton( X ) ) = Z, alpha1( Y, Z ) }.
% 117.94/118.31 parent0: (55306) {G0,W12,D4,L3,V3,M3} { ! in( X, Y ), ! ordered_pair( X,
% 117.94/118.31 singleton( X ) ) = Z, alpha1( Y, Z ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := X
% 117.94/118.31 Y := Y
% 117.94/118.31 Z := Z
% 117.94/118.31 end
% 117.94/118.31 permutation0:
% 117.94/118.31 0 ==> 0
% 117.94/118.31 1 ==> 1
% 117.94/118.31 2 ==> 2
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 eqswap: (55310) {G0,W7,D2,L2,V3,M2} { Y = X, ! alpha4( Z, Y, X ) }.
% 117.94/118.31 parent0[1]: (55) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), Z = Y }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := Z
% 117.94/118.31 Y := Y
% 117.94/118.31 Z := X
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 resolution: (55311) {G1,W13,D3,L3,V3,M3} { X = skol15( Y, Z, X ), alpha7(
% 117.94/118.31 Y ), ! in( X, skol7( Y, Z ) ) }.
% 117.94/118.31 parent0[1]: (55310) {G0,W7,D2,L2,V3,M2} { Y = X, ! alpha4( Z, Y, X ) }.
% 117.94/118.31 parent1[2]: (35) {G0,W14,D3,L3,V3,M3} I { alpha7( X ), ! in( Z, skol7( X, Y
% 117.94/118.31 ) ), alpha4( X, Z, skol15( X, Y, Z ) ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := skol15( Y, Z, X )
% 117.94/118.31 Y := X
% 117.94/118.31 Z := Y
% 117.94/118.31 end
% 117.94/118.31 substitution1:
% 117.94/118.31 X := Y
% 117.94/118.31 Y := Z
% 117.94/118.31 Z := X
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 eqswap: (55312) {G1,W13,D3,L3,V3,M3} { skol15( Y, Z, X ) = X, alpha7( Y )
% 117.94/118.31 , ! in( X, skol7( Y, Z ) ) }.
% 117.94/118.31 parent0[0]: (55311) {G1,W13,D3,L3,V3,M3} { X = skol15( Y, Z, X ), alpha7(
% 117.94/118.31 Y ), ! in( X, skol7( Y, Z ) ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := X
% 117.94/118.31 Y := Y
% 117.94/118.31 Z := Z
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 subsumption: (301) {G1,W13,D3,L3,V3,M3} R(35,55) { alpha7( X ), ! in( Y,
% 117.94/118.31 skol7( X, Z ) ), skol15( X, Z, Y ) ==> Y }.
% 117.94/118.31 parent0: (55312) {G1,W13,D3,L3,V3,M3} { skol15( Y, Z, X ) = X, alpha7( Y )
% 117.94/118.31 , ! in( X, skol7( Y, Z ) ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := Y
% 117.94/118.31 Y := X
% 117.94/118.31 Z := Z
% 117.94/118.31 end
% 117.94/118.31 permutation0:
% 117.94/118.31 0 ==> 2
% 117.94/118.31 1 ==> 0
% 117.94/118.31 2 ==> 1
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 resolution: (55313) {G1,W10,D3,L3,V3,M3} { alpha2( X, Y ), alpha7( X ), !
% 117.94/118.31 in( Y, skol7( X, Z ) ) }.
% 117.94/118.31 parent0[0]: (56) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), alpha2( X, Y
% 117.94/118.31 ) }.
% 117.94/118.31 parent1[2]: (35) {G0,W14,D3,L3,V3,M3} I { alpha7( X ), ! in( Z, skol7( X, Y
% 117.94/118.31 ) ), alpha4( X, Z, skol15( X, Y, Z ) ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := X
% 117.94/118.31 Y := Y
% 117.94/118.31 Z := skol15( X, Z, Y )
% 117.94/118.31 end
% 117.94/118.31 substitution1:
% 117.94/118.31 X := X
% 117.94/118.31 Y := Z
% 117.94/118.31 Z := Y
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 subsumption: (302) {G1,W10,D3,L3,V3,M3} R(35,56) { alpha7( X ), ! in( Y,
% 117.94/118.31 skol7( X, Z ) ), alpha2( X, Y ) }.
% 117.94/118.31 parent0: (55313) {G1,W10,D3,L3,V3,M3} { alpha2( X, Y ), alpha7( X ), ! in
% 117.94/118.31 ( Y, skol7( X, Z ) ) }.
% 117.94/118.31 substitution0:
% 117.94/118.31 X := X
% 117.94/118.31 Y := Y
% 117.94/118.31 Z := Z
% 117.94/118.31 end
% 117.94/118.31 permutation0:
% 117.94/118.31 0 ==> 2
% 117.94/118.31 1 ==> 0
% 117.94/118.31 2 ==> 1
% 117.94/118.31 end
% 117.94/118.31
% 117.94/118.31 *** allocated 15000 integers for justifications
% 117.94/118.31 *** allocated 22500 integers for justifications
% 117.94/118.31 *** allocated 33750 integers for justifications
% 117.94/118.31 *** allocated 50625 integers for justifications
% 117.94/118.31 *** allocated 75937 integers for justifications
% 117.94/118.31 *** allocated 113905 integers for justifications
% 117.94/118.31 *** allocated 170857 integers for justifications
% 117.94/118.31 *** allocated 256285 integers for justifications
% 117.94/118.31 *** allocated 384427 integers for justifications
% 117.94/118.31 *** allocated 576640 integers for justifications
% 117.94/118.31 *** allocated 864960 integers for justifications
% 117.94/118.31 *** allocated 1946160 integers for termspace/termends
% 299.40/299.77 *** allocated 1297440 integers for justifications
% 299.40/299.77 eqswap: (55315) {G0,W7,D3,L2,V1,M2} { ! skol8( X ) ==> skol16( X ), !
% 299.40/299.77 alpha7( X ) }.
% 299.40/299.77 parent0[1]: (38) {G0,W7,D3,L2,V1,M2} I { ! alpha7( X ), ! skol16( X ) ==>
% 299.40/299.77 skol8( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (79059) {G1,W11,D3,L3,V3,M3} { ! skol8( X ) ==> Y, ! alpha12( Z,
% 299.40/299.77 Y, skol16( X ) ), ! alpha7( X ) }.
% 299.40/299.77 parent0[1]: (44) {G0,W7,D2,L2,V3,M2} I { ! alpha12( X, Y, Z ), Z = Y }.
% 299.40/299.77 parent1[0; 4]: (55315) {G0,W7,D3,L2,V1,M2} { ! skol8( X ) ==> skol16( X )
% 299.40/299.77 , ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := skol16( X )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (79101) {G1,W11,D3,L3,V3,M3} { ! Y ==> skol8( X ), ! alpha12( Z, Y
% 299.40/299.77 , skol16( X ) ), ! alpha7( X ) }.
% 299.40/299.77 parent0[0]: (79059) {G1,W11,D3,L3,V3,M3} { ! skol8( X ) ==> Y, ! alpha12(
% 299.40/299.77 Z, Y, skol16( X ) ), ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (406) {G1,W11,D3,L3,V3,M3} P(44,38) { ! alpha7( X ), ! Y =
% 299.40/299.77 skol8( X ), ! alpha12( Z, Y, skol16( X ) ) }.
% 299.40/299.77 parent0: (79101) {G1,W11,D3,L3,V3,M3} { ! Y ==> skol8( X ), ! alpha12( Z,
% 299.40/299.77 Y, skol16( X ) ), ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 2
% 299.40/299.77 2 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90929) {G1,W11,D3,L3,V3,M3} { ! skol8( Y ) = X, ! alpha7( Y ), !
% 299.40/299.77 alpha12( Z, X, skol16( Y ) ) }.
% 299.40/299.77 parent0[1]: (406) {G1,W11,D3,L3,V3,M3} P(44,38) { ! alpha7( X ), ! Y =
% 299.40/299.77 skol8( X ), ! alpha12( Z, Y, skol16( X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqrefl: (90930) {G0,W8,D3,L2,V2,M2} { ! alpha7( X ), ! alpha12( Y, skol8(
% 299.40/299.77 X ), skol16( X ) ) }.
% 299.40/299.77 parent0[0]: (90929) {G1,W11,D3,L3,V3,M3} { ! skol8( Y ) = X, ! alpha7( Y )
% 299.40/299.77 , ! alpha12( Z, X, skol16( Y ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol8( X )
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (414) {G2,W8,D3,L2,V2,M2} Q(406) { ! alpha7( X ), ! alpha12( Y
% 299.40/299.77 , skol8( X ), skol16( X ) ) }.
% 299.40/299.77 parent0: (90930) {G0,W8,D3,L2,V2,M2} { ! alpha7( X ), ! alpha12( Y, skol8
% 299.40/299.77 ( X ), skol16( X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90931) {G0,W10,D3,L2,V5,M2} { Z ==> skol9( X, Y, Z ), ! alpha11(
% 299.40/299.77 T, U, Z ) }.
% 299.40/299.77 parent0[1]: (40) {G0,W10,D3,L2,V5,M2} I { ! alpha11( X, Y, Z ), skol9( T, U
% 299.40/299.77 , Z ) ==> Z }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := U
% 299.40/299.77 Z := Z
% 299.40/299.77 T := X
% 299.40/299.77 U := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90932) {G1,W10,D4,L2,V3,M2} { skol16( X ) ==> skol9( Y, Z,
% 299.40/299.77 skol16( X ) ), ! alpha7( X ) }.
% 299.40/299.77 parent0[1]: (90931) {G0,W10,D3,L2,V5,M2} { Z ==> skol9( X, Y, Z ), !
% 299.40/299.77 alpha11( T, U, Z ) }.
% 299.40/299.77 parent1[1]: (37) {G0,W8,D3,L2,V1,M2} I { ! alpha7( X ), alpha11( X, skol8(
% 299.40/299.77 X ), skol16( X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := skol16( X )
% 299.40/299.77 T := X
% 299.40/299.77 U := skol8( X )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90933) {G1,W10,D4,L2,V3,M2} { skol9( Y, Z, skol16( X ) ) ==>
% 299.40/299.77 skol16( X ), ! alpha7( X ) }.
% 299.40/299.77 parent0[0]: (90932) {G1,W10,D4,L2,V3,M2} { skol16( X ) ==> skol9( Y, Z,
% 299.40/299.77 skol16( X ) ), ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (488) {G1,W10,D4,L2,V3,M2} R(40,37) { skol9( X, Y, skol16( Z )
% 299.40/299.77 ) ==> skol16( Z ), ! alpha7( Z ) }.
% 299.40/299.77 parent0: (90933) {G1,W10,D4,L2,V3,M2} { skol9( Y, Z, skol16( X ) ) ==>
% 299.40/299.77 skol16( X ), ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90935) {G1,W12,D4,L2,V1,M2} { alpha12( X, skol8( X ), skol9(
% 299.40/299.77 X, skol8( X ), skol16( X ) ) ), ! alpha7( X ) }.
% 299.40/299.77 parent0[0]: (42) {G0,W11,D3,L2,V3,M2} I { ! alpha11( X, Y, Z ), alpha12( X
% 299.40/299.77 , Y, skol9( X, Y, Z ) ) }.
% 299.40/299.77 parent1[1]: (37) {G0,W8,D3,L2,V1,M2} I { ! alpha7( X ), alpha11( X, skol8(
% 299.40/299.77 X ), skol16( X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := skol8( X )
% 299.40/299.77 Z := skol16( X )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (90936) {G2,W10,D3,L3,V1,M3} { alpha12( X, skol8( X ), skol16( X
% 299.40/299.77 ) ), ! alpha7( X ), ! alpha7( X ) }.
% 299.40/299.77 parent0[0]: (488) {G1,W10,D4,L2,V3,M2} R(40,37) { skol9( X, Y, skol16( Z )
% 299.40/299.77 ) ==> skol16( Z ), ! alpha7( Z ) }.
% 299.40/299.77 parent1[0; 4]: (90935) {G1,W12,D4,L2,V1,M2} { alpha12( X, skol8( X ),
% 299.40/299.77 skol9( X, skol8( X ), skol16( X ) ) ), ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := skol8( X )
% 299.40/299.77 Z := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (90937) {G2,W8,D3,L2,V1,M2} { alpha12( X, skol8( X ), skol16( X )
% 299.40/299.77 ), ! alpha7( X ) }.
% 299.40/299.77 parent0[1, 2]: (90936) {G2,W10,D3,L3,V1,M3} { alpha12( X, skol8( X ),
% 299.40/299.77 skol16( X ) ), ! alpha7( X ), ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90938) {G3,W4,D2,L2,V1,M2} { ! alpha7( X ), ! alpha7( X ) }.
% 299.40/299.77 parent0[1]: (414) {G2,W8,D3,L2,V2,M2} Q(406) { ! alpha7( X ), ! alpha12( Y
% 299.40/299.77 , skol8( X ), skol16( X ) ) }.
% 299.40/299.77 parent1[0]: (90937) {G2,W8,D3,L2,V1,M2} { alpha12( X, skol8( X ), skol16(
% 299.40/299.77 X ) ), ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (90939) {G3,W2,D2,L1,V1,M1} { ! alpha7( X ) }.
% 299.40/299.77 parent0[0, 1]: (90938) {G3,W4,D2,L2,V1,M2} { ! alpha7( X ), ! alpha7( X )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (509) {G3,W2,D2,L1,V1,M1} R(42,37);d(488);r(414) { ! alpha7( X
% 299.40/299.77 ) }.
% 299.40/299.77 parent0: (90939) {G3,W2,D2,L1,V1,M1} { ! alpha7( X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90940) {G1,W14,D3,L3,V4,M3} { ! in( Y, cartesian_product2( X
% 299.40/299.77 , Z ) ), ! alpha4( X, T, Y ), in( T, skol7( X, Z ) ) }.
% 299.40/299.77 parent0[0]: (509) {G3,W2,D2,L1,V1,M1} R(42,37);d(488);r(414) { ! alpha7( X
% 299.40/299.77 ) }.
% 299.40/299.77 parent1[0]: (36) {G0,W16,D3,L4,V4,M4} I { alpha7( X ), ! in( T,
% 299.40/299.77 cartesian_product2( X, Y ) ), ! alpha4( X, Z, T ), in( Z, skol7( X, Y ) )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := T
% 299.40/299.77 T := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (515) {G4,W14,D3,L3,V4,M3} R(509,36) { ! in( X,
% 299.40/299.77 cartesian_product2( Y, Z ) ), ! alpha4( Y, T, X ), in( T, skol7( Y, Z ) )
% 299.40/299.77 }.
% 299.40/299.77 parent0: (90940) {G1,W14,D3,L3,V4,M3} { ! in( Y, cartesian_product2( X, Z
% 299.40/299.77 ) ), ! alpha4( X, T, Y ), in( T, skol7( X, Z ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 2 ==> 2
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90941) {G1,W13,D3,L2,V4,M2} { ! in( Y, skol7( X, Z ) ), in(
% 299.40/299.77 skol15( X, Z, T ), cartesian_product2( X, Z ) ) }.
% 299.40/299.77 parent0[0]: (509) {G3,W2,D2,L1,V1,M1} R(42,37);d(488);r(414) { ! alpha7( X
% 299.40/299.77 ) }.
% 299.40/299.77 parent1[0]: (34) {G0,W15,D3,L3,V4,M3} I { alpha7( X ), ! in( Z, skol7( X, Y
% 299.40/299.77 ) ), in( skol15( X, Y, T ), cartesian_product2( X, Y ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := Y
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (517) {G4,W13,D3,L2,V4,M2} R(509,34) { ! in( X, skol7( Y, Z )
% 299.40/299.77 ), in( skol15( Y, Z, T ), cartesian_product2( Y, Z ) ) }.
% 299.40/299.77 parent0: (90941) {G1,W13,D3,L2,V4,M2} { ! in( Y, skol7( X, Z ) ), in(
% 299.40/299.77 skol15( X, Z, T ), cartesian_product2( X, Z ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90942) {G0,W15,D3,L4,V4,M4} { ! Z = ordered_pair( X, Y ), ! in( X
% 299.40/299.77 , T ), ! Y = singleton( X ), alpha10( T, Z ) }.
% 299.40/299.77 parent0[0]: (50) {G0,W15,D3,L4,V4,M4} I { ! ordered_pair( Z, T ) = Y, ! in
% 299.40/299.77 ( Z, X ), ! T = singleton( Z ), alpha10( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 T := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90946) {G1,W19,D4,L4,V4,M4} { ! X = ordered_pair( skol11( Y,
% 299.40/299.77 Z ), T ), ! T = singleton( skol11( Y, Z ) ), alpha10( Y, X ), ! alpha9( Y
% 299.40/299.77 , Z ) }.
% 299.40/299.77 parent0[1]: (90942) {G0,W15,D3,L4,V4,M4} { ! Z = ordered_pair( X, Y ), !
% 299.40/299.77 in( X, T ), ! Y = singleton( X ), alpha10( T, Z ) }.
% 299.40/299.77 parent1[1]: (52) {G0,W8,D3,L2,V2,M2} I { ! alpha9( X, Y ), in( skol11( X, Y
% 299.40/299.77 ), X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol11( Y, Z )
% 299.40/299.77 Y := T
% 299.40/299.77 Z := X
% 299.40/299.77 T := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (90947) {G1,W21,D4,L5,V4,M5} { ! X = skol18( Y, Z ), ! alpha9( Y
% 299.40/299.77 , Z ), ! T = ordered_pair( skol11( Y, Z ), X ), alpha10( Y, T ), ! alpha9
% 299.40/299.77 ( Y, Z ) }.
% 299.40/299.77 parent0[1]: (53) {G0,W11,D4,L2,V2,M2} I { ! alpha9( X, Y ), singleton(
% 299.40/299.77 skol11( X, Y ) ) ==> skol18( X, Y ) }.
% 299.40/299.77 parent1[1; 3]: (90946) {G1,W19,D4,L4,V4,M4} { ! X = ordered_pair( skol11(
% 299.40/299.77 Y, Z ), T ), ! T = singleton( skol11( Y, Z ) ), alpha10( Y, X ), ! alpha9
% 299.40/299.77 ( Y, Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := T
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90949) {G1,W21,D4,L5,V4,M5} { ! ordered_pair( skol11( Y, Z ), T )
% 299.40/299.77 = X, ! T = skol18( Y, Z ), ! alpha9( Y, Z ), alpha10( Y, X ), ! alpha9(
% 299.40/299.77 Y, Z ) }.
% 299.40/299.77 parent0[2]: (90947) {G1,W21,D4,L5,V4,M5} { ! X = skol18( Y, Z ), ! alpha9
% 299.40/299.77 ( Y, Z ), ! T = ordered_pair( skol11( Y, Z ), X ), alpha10( Y, T ), !
% 299.40/299.77 alpha9( Y, Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (90953) {G1,W18,D4,L4,V4,M4} { ! ordered_pair( skol11( X, Y ), Z )
% 299.40/299.77 = T, ! Z = skol18( X, Y ), ! alpha9( X, Y ), alpha10( X, T ) }.
% 299.40/299.77 parent0[2, 4]: (90949) {G1,W21,D4,L5,V4,M5} { ! ordered_pair( skol11( Y, Z
% 299.40/299.77 ), T ) = X, ! T = skol18( Y, Z ), ! alpha9( Y, Z ), alpha10( Y, X ), !
% 299.40/299.77 alpha9( Y, Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 T := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (819) {G1,W18,D4,L4,V4,M4} R(52,50);d(53) { ! alpha9( X, Y ),
% 299.40/299.77 ! ordered_pair( skol11( X, Y ), Z ) = T, alpha10( X, T ), ! Z = skol18( X
% 299.40/299.77 , Y ) }.
% 299.40/299.77 parent0: (90953) {G1,W18,D4,L4,V4,M4} { ! ordered_pair( skol11( X, Y ), Z
% 299.40/299.77 ) = T, ! Z = skol18( X, Y ), ! alpha9( X, Y ), alpha10( X, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 3
% 299.40/299.77 2 ==> 0
% 299.40/299.77 3 ==> 2
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90955) {G1,W18,D4,L4,V4,M4} { ! T = ordered_pair( skol11( X, Y )
% 299.40/299.77 , Z ), ! alpha9( X, Y ), alpha10( X, T ), ! Z = skol18( X, Y ) }.
% 299.40/299.77 parent0[1]: (819) {G1,W18,D4,L4,V4,M4} R(52,50);d(53) { ! alpha9( X, Y ), !
% 299.40/299.77 ordered_pair( skol11( X, Y ), Z ) = T, alpha10( X, T ), ! Z = skol18( X
% 299.40/299.77 , Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqrefl: (90960) {G0,W15,D4,L3,V3,M3} { ! X = ordered_pair( skol11( Y, Z )
% 299.40/299.77 , skol18( Y, Z ) ), ! alpha9( Y, Z ), alpha10( Y, X ) }.
% 299.40/299.77 parent0[3]: (90955) {G1,W18,D4,L4,V4,M4} { ! T = ordered_pair( skol11( X,
% 299.40/299.77 Y ), Z ), ! alpha9( X, Y ), alpha10( X, T ), ! Z = skol18( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := skol18( Y, Z )
% 299.40/299.77 T := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (90961) {G1,W12,D2,L4,V3,M4} { ! X = Z, ! alpha9( Y, Z ), !
% 299.40/299.77 alpha9( Y, Z ), alpha10( Y, X ) }.
% 299.40/299.77 parent0[1]: (51) {G0,W12,D4,L2,V2,M2} I { ! alpha9( X, Y ), ordered_pair(
% 299.40/299.77 skol11( X, Y ), skol18( X, Y ) ) ==> Y }.
% 299.40/299.77 parent1[0; 3]: (90960) {G0,W15,D4,L3,V3,M3} { ! X = ordered_pair( skol11(
% 299.40/299.77 Y, Z ), skol18( Y, Z ) ), ! alpha9( Y, Z ), alpha10( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90962) {G1,W12,D2,L4,V3,M4} { ! Y = X, ! alpha9( Z, Y ), ! alpha9
% 299.40/299.77 ( Z, Y ), alpha10( Z, X ) }.
% 299.40/299.77 parent0[0]: (90961) {G1,W12,D2,L4,V3,M4} { ! X = Z, ! alpha9( Y, Z ), !
% 299.40/299.77 alpha9( Y, Z ), alpha10( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (90963) {G1,W9,D2,L3,V3,M3} { ! X = Y, ! alpha9( Z, X ), alpha10(
% 299.40/299.77 Z, Y ) }.
% 299.40/299.77 parent0[1, 2]: (90962) {G1,W12,D2,L4,V3,M4} { ! Y = X, ! alpha9( Z, Y ), !
% 299.40/299.77 alpha9( Z, Y ), alpha10( Z, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (839) {G2,W9,D2,L3,V3,M3} Q(819);d(51) { ! alpha9( X, Y ),
% 299.40/299.77 alpha10( X, Z ), ! Y = Z }.
% 299.40/299.77 parent0: (90963) {G1,W9,D2,L3,V3,M3} { ! X = Y, ! alpha9( Z, X ), alpha10
% 299.40/299.77 ( Z, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 2
% 299.40/299.77 1 ==> 0
% 299.40/299.77 2 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90965) {G2,W9,D2,L3,V3,M3} { ! Y = X, ! alpha9( Z, X ), alpha10(
% 299.40/299.77 Z, Y ) }.
% 299.40/299.77 parent0[2]: (839) {G2,W9,D2,L3,V3,M3} Q(819);d(51) { ! alpha9( X, Y ),
% 299.40/299.77 alpha10( X, Z ), ! Y = Z }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqrefl: (90966) {G0,W6,D2,L2,V2,M2} { ! alpha9( Y, X ), alpha10( Y, X )
% 299.40/299.77 }.
% 299.40/299.77 parent0[0]: (90965) {G2,W9,D2,L3,V3,M3} { ! Y = X, ! alpha9( Z, X ),
% 299.40/299.77 alpha10( Z, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (840) {G3,W6,D2,L2,V2,M2} Q(839) { ! alpha9( X, Y ), alpha10(
% 299.40/299.77 X, Y ) }.
% 299.40/299.77 parent0: (90966) {G0,W6,D2,L2,V2,M2} { ! alpha9( Y, X ), alpha10( Y, X )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90967) {G0,W11,D4,L2,V2,M2} { skol17( X, Y ) ==> singleton(
% 299.40/299.77 skol10( X, Y ) ), ! alpha10( X, Y ) }.
% 299.40/299.77 parent0[1]: (49) {G0,W11,D4,L2,V2,M2} I { ! alpha10( X, Y ), singleton(
% 299.40/299.77 skol10( X, Y ) ) ==> skol17( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90968) {G1,W11,D4,L2,V2,M2} { skol17( X, Y ) ==> singleton(
% 299.40/299.77 skol10( X, Y ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[1]: (90967) {G0,W11,D4,L2,V2,M2} { skol17( X, Y ) ==> singleton(
% 299.40/299.77 skol10( X, Y ) ), ! alpha10( X, Y ) }.
% 299.40/299.77 parent1[1]: (840) {G3,W6,D2,L2,V2,M2} Q(839) { ! alpha9( X, Y ), alpha10( X
% 299.40/299.77 , Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90969) {G1,W11,D4,L2,V2,M2} { singleton( skol10( X, Y ) ) ==>
% 299.40/299.77 skol17( X, Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[0]: (90968) {G1,W11,D4,L2,V2,M2} { skol17( X, Y ) ==> singleton(
% 299.40/299.77 skol10( X, Y ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (865) {G4,W11,D4,L2,V2,M2} R(840,49) { ! alpha9( X, Y ),
% 299.40/299.77 singleton( skol10( X, Y ) ) ==> skol17( X, Y ) }.
% 299.40/299.77 parent0: (90969) {G1,W11,D4,L2,V2,M2} { singleton( skol10( X, Y ) ) ==>
% 299.40/299.77 skol17( X, Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90970) {G1,W8,D3,L2,V2,M2} { in( skol10( X, Y ), X ), !
% 299.40/299.77 alpha9( X, Y ) }.
% 299.40/299.77 parent0[0]: (48) {G0,W8,D3,L2,V2,M2} I { ! alpha10( X, Y ), in( skol10( X,
% 299.40/299.77 Y ), X ) }.
% 299.40/299.77 parent1[1]: (840) {G3,W6,D2,L2,V2,M2} Q(839) { ! alpha9( X, Y ), alpha10( X
% 299.40/299.77 , Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (866) {G4,W8,D3,L2,V2,M2} R(840,48) { ! alpha9( X, Y ), in(
% 299.40/299.77 skol10( X, Y ), X ) }.
% 299.40/299.77 parent0: (90970) {G1,W8,D3,L2,V2,M2} { in( skol10( X, Y ), X ), ! alpha9(
% 299.40/299.77 X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90971) {G0,W12,D4,L2,V2,M2} { Y ==> ordered_pair( skol10( X, Y )
% 299.40/299.77 , skol17( X, Y ) ), ! alpha10( X, Y ) }.
% 299.40/299.77 parent0[1]: (47) {G0,W12,D4,L2,V2,M2} I { ! alpha10( X, Y ), ordered_pair(
% 299.40/299.77 skol10( X, Y ), skol17( X, Y ) ) ==> Y }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90972) {G1,W12,D4,L2,V2,M2} { X ==> ordered_pair( skol10( Y,
% 299.40/299.77 X ), skol17( Y, X ) ), ! alpha9( Y, X ) }.
% 299.40/299.77 parent0[1]: (90971) {G0,W12,D4,L2,V2,M2} { Y ==> ordered_pair( skol10( X,
% 299.40/299.77 Y ), skol17( X, Y ) ), ! alpha10( X, Y ) }.
% 299.40/299.77 parent1[1]: (840) {G3,W6,D2,L2,V2,M2} Q(839) { ! alpha9( X, Y ), alpha10( X
% 299.40/299.77 , Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90973) {G1,W12,D4,L2,V2,M2} { ordered_pair( skol10( Y, X ),
% 299.40/299.77 skol17( Y, X ) ) ==> X, ! alpha9( Y, X ) }.
% 299.40/299.77 parent0[0]: (90972) {G1,W12,D4,L2,V2,M2} { X ==> ordered_pair( skol10( Y,
% 299.40/299.77 X ), skol17( Y, X ) ), ! alpha9( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (867) {G4,W12,D4,L2,V2,M2} R(840,47) { ! alpha9( X, Y ),
% 299.40/299.77 ordered_pair( skol10( X, Y ), skol17( X, Y ) ) ==> Y }.
% 299.40/299.77 parent0: (90973) {G1,W12,D4,L2,V2,M2} { ordered_pair( skol10( Y, X ),
% 299.40/299.77 skol17( Y, X ) ) ==> X, ! alpha9( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90974) {G0,W11,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y, Z )
% 299.40/299.77 , alpha5( Z, Y, X ) }.
% 299.40/299.77 parent0[1]: (63) {G0,W11,D3,L3,V3,M3} I { ! in( Y, X ), ! Z = singleton( Y
% 299.40/299.77 ), alpha5( X, Y, Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90975) {G0,W12,D3,L3,V4,M3} { ! Z = ordered_pair( X, Y ), !
% 299.40/299.77 alpha5( T, X, Y ), alpha2( T, Z ) }.
% 299.40/299.77 parent0[0]: (60) {G0,W12,D3,L3,V4,M3} I { ! ordered_pair( Z, T ) = Y, !
% 299.40/299.77 alpha5( X, Z, T ), alpha2( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 T := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90976) {G1,W15,D3,L4,V4,M4} { ! X = ordered_pair( Y, Z ),
% 299.40/299.77 alpha2( T, X ), ! singleton( Y ) = Z, ! in( Y, T ) }.
% 299.40/299.77 parent0[1]: (90975) {G0,W12,D3,L3,V4,M3} { ! Z = ordered_pair( X, Y ), !
% 299.40/299.77 alpha5( T, X, Y ), alpha2( T, Z ) }.
% 299.40/299.77 parent1[2]: (90974) {G0,W11,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y,
% 299.40/299.77 Z ), alpha5( Z, Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90978) {G1,W15,D3,L4,V4,M4} { ! Y = singleton( X ), ! Z =
% 299.40/299.77 ordered_pair( X, Y ), alpha2( T, Z ), ! in( X, T ) }.
% 299.40/299.77 parent0[2]: (90976) {G1,W15,D3,L4,V4,M4} { ! X = ordered_pair( Y, Z ),
% 299.40/299.77 alpha2( T, X ), ! singleton( Y ) = Z, ! in( Y, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90979) {G1,W15,D3,L4,V4,M4} { ! ordered_pair( Y, Z ) = X, ! Z =
% 299.40/299.77 singleton( Y ), alpha2( T, X ), ! in( Y, T ) }.
% 299.40/299.77 parent0[1]: (90978) {G1,W15,D3,L4,V4,M4} { ! Y = singleton( X ), ! Z =
% 299.40/299.77 ordered_pair( X, Y ), alpha2( T, Z ), ! in( X, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (1142) {G1,W15,D3,L4,V4,M4} R(63,60) { ! in( X, Y ), ! Z =
% 299.40/299.77 singleton( X ), ! ordered_pair( X, Z ) = T, alpha2( Y, T ) }.
% 299.40/299.77 parent0: (90979) {G1,W15,D3,L4,V4,M4} { ! ordered_pair( Y, Z ) = X, ! Z =
% 299.40/299.77 singleton( Y ), alpha2( T, X ), ! in( Y, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 T := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 2
% 299.40/299.77 1 ==> 1
% 299.40/299.77 2 ==> 3
% 299.40/299.77 3 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90980) {G1,W15,D3,L4,V4,M4} { ! singleton( Y ) = X, ! in( Y, Z )
% 299.40/299.77 , ! ordered_pair( Y, X ) = T, alpha2( Z, T ) }.
% 299.40/299.77 parent0[1]: (1142) {G1,W15,D3,L4,V4,M4} R(63,60) { ! in( X, Y ), ! Z =
% 299.40/299.77 singleton( X ), ! ordered_pair( X, Z ) = T, alpha2( Y, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqrefl: (90984) {G0,W12,D3,L3,V3,M3} { ! singleton( X ) = Y, ! in( X, Z )
% 299.40/299.77 , alpha2( Z, ordered_pair( X, Y ) ) }.
% 299.40/299.77 parent0[2]: (90980) {G1,W15,D3,L4,V4,M4} { ! singleton( Y ) = X, ! in( Y,
% 299.40/299.77 Z ), ! ordered_pair( Y, X ) = T, alpha2( Z, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 T := ordered_pair( X, Y )
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90985) {G0,W12,D3,L3,V3,M3} { ! Y = singleton( X ), ! in( X, Z )
% 299.40/299.77 , alpha2( Z, ordered_pair( X, Y ) ) }.
% 299.40/299.77 parent0[0]: (90984) {G0,W12,D3,L3,V3,M3} { ! singleton( X ) = Y, ! in( X,
% 299.40/299.77 Z ), alpha2( Z, ordered_pair( X, Y ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (1179) {G2,W12,D3,L3,V3,M3} Q(1142) { ! in( X, Y ), ! Z =
% 299.40/299.77 singleton( X ), alpha2( Y, ordered_pair( X, Z ) ) }.
% 299.40/299.77 parent0: (90985) {G0,W12,D3,L3,V3,M3} { ! Y = singleton( X ), ! in( X, Z )
% 299.40/299.77 , alpha2( Z, ordered_pair( X, Y ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 2 ==> 2
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90987) {G2,W12,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y, Z )
% 299.40/299.77 , alpha2( Z, ordered_pair( Y, X ) ) }.
% 299.40/299.77 parent0[1]: (1179) {G2,W12,D3,L3,V3,M3} Q(1142) { ! in( X, Y ), ! Z =
% 299.40/299.77 singleton( X ), alpha2( Y, ordered_pair( X, Z ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqrefl: (90988) {G0,W9,D4,L2,V2,M2} { ! in( X, Y ), alpha2( Y,
% 299.40/299.77 ordered_pair( X, singleton( X ) ) ) }.
% 299.40/299.77 parent0[0]: (90987) {G2,W12,D3,L3,V3,M3} { ! singleton( Y ) = X, ! in( Y,
% 299.40/299.77 Z ), alpha2( Z, ordered_pair( Y, X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := singleton( X )
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (1180) {G3,W9,D4,L2,V2,M2} Q(1179) { ! in( X, Y ), alpha2( Y,
% 299.40/299.77 ordered_pair( X, singleton( X ) ) ) }.
% 299.40/299.77 parent0: (90988) {G0,W9,D4,L2,V2,M2} { ! in( X, Y ), alpha2( Y,
% 299.40/299.77 ordered_pair( X, singleton( X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90989) {G1,W8,D3,L2,V1,M2} { alpha1( skol1, skol20( X ) ), in
% 299.40/299.77 ( skol20( X ), X ) }.
% 299.40/299.77 parent0[0]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha6( X, Y, Z ), alpha1( X, Z )
% 299.40/299.77 }.
% 299.40/299.77 parent1[1]: (81) {G1,W9,D3,L2,V1,M2} R(2,0) { in( skol20( X ), X ), alpha6
% 299.40/299.77 ( skol1, skol13, skol20( X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol1
% 299.40/299.77 Y := skol13
% 299.40/299.77 Z := skol20( X )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (1535) {G2,W8,D3,L2,V1,M2} R(81,7) { in( skol20( X ), X ),
% 299.40/299.77 alpha1( skol1, skol20( X ) ) }.
% 299.40/299.77 parent0: (90989) {G1,W8,D3,L2,V1,M2} { alpha1( skol1, skol20( X ) ), in(
% 299.40/299.77 skol20( X ), X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90990) {G1,W10,D3,L2,V1,M2} { in( skol20( X ),
% 299.40/299.77 cartesian_product2( skol1, skol13 ) ), in( skol20( X ), X ) }.
% 299.40/299.77 parent0[0]: (6) {G0,W9,D3,L2,V3,M2} I { ! alpha6( X, Y, Z ), in( Z,
% 299.40/299.77 cartesian_product2( X, Y ) ) }.
% 299.40/299.77 parent1[1]: (81) {G1,W9,D3,L2,V1,M2} R(2,0) { in( skol20( X ), X ), alpha6
% 299.40/299.77 ( skol1, skol13, skol20( X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol1
% 299.40/299.77 Y := skol13
% 299.40/299.77 Z := skol20( X )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (1536) {G2,W10,D3,L2,V1,M2} R(81,6) { in( skol20( X ), X ), in
% 299.40/299.77 ( skol20( X ), cartesian_product2( skol1, skol13 ) ) }.
% 299.40/299.77 parent0: (90990) {G1,W10,D3,L2,V1,M2} { in( skol20( X ),
% 299.40/299.77 cartesian_product2( skol1, skol13 ) ), in( skol20( X ), X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (90994) {G2,W13,D5,L2,V2,M2} { alpha9( X, ordered_pair( skol2
% 299.40/299.77 ( X, Y ), singleton( skol2( X, Y ) ) ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent0[0]: (74) {G2,W9,D4,L2,V2,M2} Q(73) { ! in( X, Y ), alpha9( Y,
% 299.40/299.77 ordered_pair( X, singleton( X ) ) ) }.
% 299.40/299.77 parent1[0]: (191) {G1,W8,D3,L2,V2,M2} R(12,10) { in( skol2( X, Y ), X ), !
% 299.40/299.77 alpha1( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol2( X, Y )
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (90995) {G2,W15,D4,L3,V2,M3} { alpha9( X, ordered_pair( skol2( X
% 299.40/299.77 , Y ), skol14( X, Y ) ) ), ! alpha1( X, Y ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent0[0]: (201) {G1,W11,D4,L2,V2,M2} R(13,10) { singleton( skol2( X, Y )
% 299.40/299.77 ) ==> skol14( X, Y ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent1[0; 6]: (90994) {G2,W13,D5,L2,V2,M2} { alpha9( X, ordered_pair(
% 299.40/299.77 skol2( X, Y ), singleton( skol2( X, Y ) ) ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (90996) {G2,W12,D4,L2,V2,M2} { alpha9( X, ordered_pair( skol2( X,
% 299.40/299.77 Y ), skol14( X, Y ) ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent0[1, 2]: (90995) {G2,W15,D4,L3,V2,M3} { alpha9( X, ordered_pair(
% 299.40/299.77 skol2( X, Y ), skol14( X, Y ) ) ), ! alpha1( X, Y ), ! alpha1( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (90997) {G1,W9,D2,L3,V2,M3} { alpha9( X, Y ), ! alpha1( X, Y ), !
% 299.40/299.77 alpha1( X, Y ) }.
% 299.40/299.77 parent0[1]: (9) {G0,W12,D4,L2,V2,M2} I { ! alpha1( X, Y ), ordered_pair(
% 299.40/299.77 skol2( X, Y ), skol14( X, Y ) ) ==> Y }.
% 299.40/299.77 parent1[0; 2]: (90996) {G2,W12,D4,L2,V2,M2} { alpha9( X, ordered_pair(
% 299.40/299.77 skol2( X, Y ), skol14( X, Y ) ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (90998) {G1,W6,D2,L2,V2,M2} { alpha9( X, Y ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent0[1, 2]: (90997) {G1,W9,D2,L3,V2,M3} { alpha9( X, Y ), ! alpha1( X,
% 299.40/299.77 Y ), ! alpha1( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (2430) {G3,W6,D2,L2,V2,M2} R(191,74);d(201);d(9) { ! alpha1( X
% 299.40/299.77 , Y ), alpha9( X, Y ) }.
% 299.40/299.77 parent0: (90998) {G1,W6,D2,L2,V2,M2} { alpha9( X, Y ), ! alpha1( X, Y )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (90999) {G0,W8,D3,L2,V3,M2} { singleton( Y ) = X, ! alpha5( Z, Y,
% 299.40/299.77 X ) }.
% 299.40/299.77 parent0[1]: (62) {G0,W8,D3,L2,V3,M2} I { ! alpha5( X, Y, Z ), Z = singleton
% 299.40/299.77 ( Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91000) {G1,W12,D3,L3,V4,M3} { ! singleton( Y ) = X, alpha3( Z, Y
% 299.40/299.77 , X ), ! alpha5( Z, Y, T ) }.
% 299.40/299.77 parent0[0]: (239) {G1,W12,D3,L3,V4,M3} R(14,61) { ! X = singleton( Y ),
% 299.40/299.77 alpha3( Z, Y, X ), ! alpha5( Z, Y, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (91001) {G1,W15,D2,L4,V6,M4} { ! Z = Y, ! alpha5( T, X, Z ),
% 299.40/299.77 alpha3( U, X, Y ), ! alpha5( U, X, W ) }.
% 299.40/299.77 parent0[0]: (90999) {G0,W8,D3,L2,V3,M2} { singleton( Y ) = X, ! alpha5( Z
% 299.40/299.77 , Y, X ) }.
% 299.40/299.77 parent1[0; 2]: (91000) {G1,W12,D3,L3,V4,M3} { ! singleton( Y ) = X, alpha3
% 299.40/299.77 ( Z, Y, X ), ! alpha5( Z, Y, T ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := X
% 299.40/299.77 Z := T
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := U
% 299.40/299.77 T := W
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91002) {G1,W15,D2,L4,V6,M4} { ! Y = X, ! alpha5( Z, T, X ),
% 299.40/299.77 alpha3( U, T, Y ), ! alpha5( U, T, W ) }.
% 299.40/299.77 parent0[0]: (91001) {G1,W15,D2,L4,V6,M4} { ! Z = Y, ! alpha5( T, X, Z ),
% 299.40/299.77 alpha3( U, X, Y ), ! alpha5( U, X, W ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := X
% 299.40/299.77 T := Z
% 299.40/299.77 U := U
% 299.40/299.77 W := W
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (4831) {G2,W15,D2,L4,V6,M4} P(62,239) { ! Z = Y, alpha3( T, X
% 299.40/299.77 , Z ), ! alpha5( T, X, U ), ! alpha5( W, X, Y ) }.
% 299.40/299.77 parent0: (91002) {G1,W15,D2,L4,V6,M4} { ! Y = X, ! alpha5( Z, T, X ),
% 299.40/299.77 alpha3( U, T, Y ), ! alpha5( U, T, W ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := W
% 299.40/299.77 T := X
% 299.40/299.77 U := T
% 299.40/299.77 W := U
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 3
% 299.40/299.77 2 ==> 1
% 299.40/299.77 3 ==> 2
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91006) {G2,W11,D2,L3,V4,M3} { ! X = Y, alpha3( Z, T, X ), !
% 299.40/299.77 alpha5( Z, T, Y ) }.
% 299.40/299.77 parent0[2, 3]: (4831) {G2,W15,D2,L4,V6,M4} P(62,239) { ! Z = Y, alpha3( T,
% 299.40/299.77 X, Z ), ! alpha5( T, X, U ), ! alpha5( W, X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := T
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := X
% 299.40/299.77 T := Z
% 299.40/299.77 U := Y
% 299.40/299.77 W := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (4833) {G3,W11,D2,L3,V4,M3} F(4831) { ! X = Y, alpha3( Z, T, X
% 299.40/299.77 ), ! alpha5( Z, T, Y ) }.
% 299.40/299.77 parent0: (91006) {G2,W11,D2,L3,V4,M3} { ! X = Y, alpha3( Z, T, X ), !
% 299.40/299.77 alpha5( Z, T, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 2 ==> 2
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91008) {G3,W11,D2,L3,V4,M3} { ! Y = X, alpha3( Z, T, X ), !
% 299.40/299.77 alpha5( Z, T, Y ) }.
% 299.40/299.77 parent0[0]: (4833) {G3,W11,D2,L3,V4,M3} F(4831) { ! X = Y, alpha3( Z, T, X
% 299.40/299.77 ), ! alpha5( Z, T, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqrefl: (91009) {G0,W8,D2,L2,V3,M2} { alpha3( Y, Z, X ), ! alpha5( Y, Z, X
% 299.40/299.77 ) }.
% 299.40/299.77 parent0[0]: (91008) {G3,W11,D2,L3,V4,M3} { ! Y = X, alpha3( Z, T, X ), !
% 299.40/299.77 alpha5( Z, T, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 T := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (4834) {G4,W8,D2,L2,V3,M2} Q(4833) { alpha3( X, Y, Z ), !
% 299.40/299.77 alpha5( X, Y, Z ) }.
% 299.40/299.77 parent0: (91009) {G0,W8,D2,L2,V3,M2} { alpha3( Y, Z, X ), ! alpha5( Y, Z,
% 299.40/299.77 X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91010) {G2,W9,D3,L2,V3,M2} { alpha1( X, ordered_pair( Y, Z )
% 299.40/299.77 ), ! alpha5( X, Y, Z ) }.
% 299.40/299.77 parent0[0]: (64) {G1,W9,D3,L2,V3,M2} Q(11) { ! alpha3( X, Y, Z ), alpha1( X
% 299.40/299.77 , ordered_pair( Y, Z ) ) }.
% 299.40/299.77 parent1[0]: (4834) {G4,W8,D2,L2,V3,M2} Q(4833) { alpha3( X, Y, Z ), !
% 299.40/299.77 alpha5( X, Y, Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (4849) {G5,W9,D3,L2,V3,M2} R(4834,64) { ! alpha5( X, Y, Z ),
% 299.40/299.77 alpha1( X, ordered_pair( Y, Z ) ) }.
% 299.40/299.77 parent0: (91010) {G2,W9,D3,L2,V3,M2} { alpha1( X, ordered_pair( Y, Z ) ),
% 299.40/299.77 ! alpha5( X, Y, Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91012) {G1,W12,D4,L2,V2,M2} { alpha1( X, ordered_pair( skol12
% 299.40/299.77 ( X, Y ), skol19( X, Y ) ) ), ! alpha2( X, Y ) }.
% 299.40/299.77 parent0[0]: (4849) {G5,W9,D3,L2,V3,M2} R(4834,64) { ! alpha5( X, Y, Z ),
% 299.40/299.77 alpha1( X, ordered_pair( Y, Z ) ) }.
% 299.40/299.77 parent1[1]: (59) {G0,W11,D3,L2,V2,M2} I { ! alpha2( X, Y ), alpha5( X,
% 299.40/299.77 skol12( X, Y ), skol19( X, Y ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := skol12( X, Y )
% 299.40/299.77 Z := skol19( X, Y )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (91013) {G1,W9,D2,L3,V2,M3} { alpha1( X, Y ), ! alpha2( X, Y ), !
% 299.40/299.77 alpha2( X, Y ) }.
% 299.40/299.77 parent0[1]: (58) {G0,W12,D4,L2,V2,M2} I { ! alpha2( X, Y ), ordered_pair(
% 299.40/299.77 skol12( X, Y ), skol19( X, Y ) ) ==> Y }.
% 299.40/299.77 parent1[0; 2]: (91012) {G1,W12,D4,L2,V2,M2} { alpha1( X, ordered_pair(
% 299.40/299.77 skol12( X, Y ), skol19( X, Y ) ) ), ! alpha2( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91014) {G1,W6,D2,L2,V2,M2} { alpha1( X, Y ), ! alpha2( X, Y ) }.
% 299.40/299.77 parent0[1, 2]: (91013) {G1,W9,D2,L3,V2,M3} { alpha1( X, Y ), ! alpha2( X,
% 299.40/299.77 Y ), ! alpha2( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (5090) {G6,W6,D2,L2,V2,M2} R(4849,59);d(58) { ! alpha2( X, Y )
% 299.40/299.77 , alpha1( X, Y ) }.
% 299.40/299.77 parent0: (91014) {G1,W6,D2,L2,V2,M2} { alpha1( X, Y ), ! alpha2( X, Y )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91015) {G2,W12,D4,L3,V3,M3} { ! Y = ordered_pair( X, singleton( X
% 299.40/299.77 ) ), ! in( X, Z ), alpha1( Z, Y ) }.
% 299.40/299.77 parent0[1]: (252) {G2,W12,D4,L3,V3,M3} Q(236) { ! in( X, Y ), !
% 299.40/299.77 ordered_pair( X, singleton( X ) ) = Z, alpha1( Y, Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91018) {G3,W16,D5,L3,V3,M3} { ! X = ordered_pair( skol10( Y,
% 299.40/299.77 Z ), singleton( skol10( Y, Z ) ) ), alpha1( Y, X ), ! alpha9( Y, Z ) }.
% 299.40/299.77 parent0[1]: (91015) {G2,W12,D4,L3,V3,M3} { ! Y = ordered_pair( X,
% 299.40/299.77 singleton( X ) ), ! in( X, Z ), alpha1( Z, Y ) }.
% 299.40/299.77 parent1[1]: (866) {G4,W8,D3,L2,V2,M2} R(840,48) { ! alpha9( X, Y ), in(
% 299.40/299.77 skol10( X, Y ), X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol10( Y, Z )
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (91019) {G4,W18,D4,L4,V3,M4} { ! X = ordered_pair( skol10( Y, Z )
% 299.40/299.77 , skol17( Y, Z ) ), ! alpha9( Y, Z ), alpha1( Y, X ), ! alpha9( Y, Z )
% 299.40/299.77 }.
% 299.40/299.77 parent0[1]: (865) {G4,W11,D4,L2,V2,M2} R(840,49) { ! alpha9( X, Y ),
% 299.40/299.77 singleton( skol10( X, Y ) ) ==> skol17( X, Y ) }.
% 299.40/299.77 parent1[0; 7]: (91018) {G3,W16,D5,L3,V3,M3} { ! X = ordered_pair( skol10(
% 299.40/299.77 Y, Z ), singleton( skol10( Y, Z ) ) ), alpha1( Y, X ), ! alpha9( Y, Z )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91020) {G4,W15,D4,L3,V3,M3} { ! X = ordered_pair( skol10( Y, Z )
% 299.40/299.77 , skol17( Y, Z ) ), ! alpha9( Y, Z ), alpha1( Y, X ) }.
% 299.40/299.77 parent0[1, 3]: (91019) {G4,W18,D4,L4,V3,M4} { ! X = ordered_pair( skol10(
% 299.40/299.77 Y, Z ), skol17( Y, Z ) ), ! alpha9( Y, Z ), alpha1( Y, X ), ! alpha9( Y,
% 299.40/299.77 Z ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (91021) {G5,W12,D2,L4,V3,M4} { ! X = Z, ! alpha9( Y, Z ), !
% 299.40/299.77 alpha9( Y, Z ), alpha1( Y, X ) }.
% 299.40/299.77 parent0[1]: (867) {G4,W12,D4,L2,V2,M2} R(840,47) { ! alpha9( X, Y ),
% 299.40/299.77 ordered_pair( skol10( X, Y ), skol17( X, Y ) ) ==> Y }.
% 299.40/299.77 parent1[0; 3]: (91020) {G4,W15,D4,L3,V3,M3} { ! X = ordered_pair( skol10(
% 299.40/299.77 Y, Z ), skol17( Y, Z ) ), ! alpha9( Y, Z ), alpha1( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91022) {G5,W12,D2,L4,V3,M4} { ! Y = X, ! alpha9( Z, Y ), ! alpha9
% 299.40/299.77 ( Z, Y ), alpha1( Z, X ) }.
% 299.40/299.77 parent0[0]: (91021) {G5,W12,D2,L4,V3,M4} { ! X = Z, ! alpha9( Y, Z ), !
% 299.40/299.77 alpha9( Y, Z ), alpha1( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91023) {G5,W9,D2,L3,V3,M3} { ! X = Y, ! alpha9( Z, X ), alpha1( Z
% 299.40/299.77 , Y ) }.
% 299.40/299.77 parent0[1, 2]: (91022) {G5,W12,D2,L4,V3,M4} { ! Y = X, ! alpha9( Z, Y ), !
% 299.40/299.77 alpha9( Z, Y ), alpha1( Z, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (5354) {G5,W9,D2,L3,V3,M3} R(252,866);d(865);d(867) { alpha1(
% 299.40/299.77 X, Z ), ! alpha9( X, Y ), ! Y = Z }.
% 299.40/299.77 parent0: (91023) {G5,W9,D2,L3,V3,M3} { ! X = Y, ! alpha9( Z, X ), alpha1(
% 299.40/299.77 Z, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 2
% 299.40/299.77 1 ==> 1
% 299.40/299.77 2 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91025) {G5,W9,D2,L3,V3,M3} { ! Y = X, alpha1( Z, Y ), ! alpha9( Z
% 299.40/299.77 , X ) }.
% 299.40/299.77 parent0[2]: (5354) {G5,W9,D2,L3,V3,M3} R(252,866);d(865);d(867) { alpha1( X
% 299.40/299.77 , Z ), ! alpha9( X, Y ), ! Y = Z }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Z
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqrefl: (91026) {G0,W6,D2,L2,V2,M2} { alpha1( Y, X ), ! alpha9( Y, X ) }.
% 299.40/299.77 parent0[0]: (91025) {G5,W9,D2,L3,V3,M3} { ! Y = X, alpha1( Z, Y ), !
% 299.40/299.77 alpha9( Z, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (5363) {G6,W6,D2,L2,V2,M2} Q(5354) { alpha1( X, Y ), ! alpha9
% 299.40/299.77 ( X, Y ) }.
% 299.40/299.77 parent0: (91026) {G0,W6,D2,L2,V2,M2} { alpha1( Y, X ), ! alpha9( Y, X )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91027) {G1,W11,D4,L2,V2,M2} { skol14( X, Y ) ==> singleton( skol2
% 299.40/299.77 ( X, Y ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent0[0]: (201) {G1,W11,D4,L2,V2,M2} R(13,10) { singleton( skol2( X, Y )
% 299.40/299.77 ) ==> skol14( X, Y ), ! alpha1( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91028) {G2,W11,D4,L2,V2,M2} { skol14( X, Y ) ==> singleton(
% 299.40/299.77 skol2( X, Y ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[1]: (91027) {G1,W11,D4,L2,V2,M2} { skol14( X, Y ) ==> singleton(
% 299.40/299.77 skol2( X, Y ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent1[0]: (5363) {G6,W6,D2,L2,V2,M2} Q(5354) { alpha1( X, Y ), ! alpha9(
% 299.40/299.77 X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91029) {G2,W11,D4,L2,V2,M2} { singleton( skol2( X, Y ) ) ==>
% 299.40/299.77 skol14( X, Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[0]: (91028) {G2,W11,D4,L2,V2,M2} { skol14( X, Y ) ==> singleton(
% 299.40/299.77 skol2( X, Y ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (5375) {G7,W11,D4,L2,V2,M2} R(5363,201) { ! alpha9( X, Y ),
% 299.40/299.77 singleton( skol2( X, Y ) ) ==> skol14( X, Y ) }.
% 299.40/299.77 parent0: (91029) {G2,W11,D4,L2,V2,M2} { singleton( skol2( X, Y ) ) ==>
% 299.40/299.77 skol14( X, Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91030) {G2,W8,D3,L2,V2,M2} { in( skol2( X, Y ), X ), ! alpha9
% 299.40/299.77 ( X, Y ) }.
% 299.40/299.77 parent0[1]: (191) {G1,W8,D3,L2,V2,M2} R(12,10) { in( skol2( X, Y ), X ), !
% 299.40/299.77 alpha1( X, Y ) }.
% 299.40/299.77 parent1[0]: (5363) {G6,W6,D2,L2,V2,M2} Q(5354) { alpha1( X, Y ), ! alpha9(
% 299.40/299.77 X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (5378) {G7,W8,D3,L2,V2,M2} R(5363,191) { ! alpha9( X, Y ), in
% 299.40/299.77 ( skol2( X, Y ), X ) }.
% 299.40/299.77 parent0: (91030) {G2,W8,D3,L2,V2,M2} { in( skol2( X, Y ), X ), ! alpha9( X
% 299.40/299.77 , Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91031) {G0,W12,D4,L2,V2,M2} { Y ==> ordered_pair( skol2( X, Y ),
% 299.40/299.77 skol14( X, Y ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent0[1]: (9) {G0,W12,D4,L2,V2,M2} I { ! alpha1( X, Y ), ordered_pair(
% 299.40/299.77 skol2( X, Y ), skol14( X, Y ) ) ==> Y }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91032) {G1,W12,D4,L2,V2,M2} { X ==> ordered_pair( skol2( Y, X
% 299.40/299.77 ), skol14( Y, X ) ), ! alpha9( Y, X ) }.
% 299.40/299.77 parent0[1]: (91031) {G0,W12,D4,L2,V2,M2} { Y ==> ordered_pair( skol2( X, Y
% 299.40/299.77 ), skol14( X, Y ) ), ! alpha1( X, Y ) }.
% 299.40/299.77 parent1[0]: (5363) {G6,W6,D2,L2,V2,M2} Q(5354) { alpha1( X, Y ), ! alpha9(
% 299.40/299.77 X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 eqswap: (91033) {G1,W12,D4,L2,V2,M2} { ordered_pair( skol2( Y, X ), skol14
% 299.40/299.77 ( Y, X ) ) ==> X, ! alpha9( Y, X ) }.
% 299.40/299.77 parent0[0]: (91032) {G1,W12,D4,L2,V2,M2} { X ==> ordered_pair( skol2( Y, X
% 299.40/299.77 ), skol14( Y, X ) ), ! alpha9( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (5392) {G7,W12,D4,L2,V2,M2} R(5363,9) { ! alpha9( X, Y ),
% 299.40/299.77 ordered_pair( skol2( X, Y ), skol14( X, Y ) ) ==> Y }.
% 299.40/299.77 parent0: (91033) {G1,W12,D4,L2,V2,M2} { ordered_pair( skol2( Y, X ),
% 299.40/299.77 skol14( Y, X ) ) ==> X, ! alpha9( Y, X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91035) {G2,W11,D3,L2,V3,M2} { ! in( Y, skol7( X, Z ) ),
% 299.40/299.77 skol15( X, Z, Y ) ==> Y }.
% 299.40/299.77 parent0[0]: (509) {G3,W2,D2,L1,V1,M1} R(42,37);d(488);r(414) { ! alpha7( X
% 299.40/299.77 ) }.
% 299.40/299.77 parent1[0]: (301) {G1,W13,D3,L3,V3,M3} R(35,55) { alpha7( X ), ! in( Y,
% 299.40/299.77 skol7( X, Z ) ), skol15( X, Z, Y ) ==> Y }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (6800) {G4,W11,D3,L2,V3,M2} S(301);r(509) { ! in( Y, skol7( X
% 299.40/299.77 , Z ) ), skol15( X, Z, Y ) ==> Y }.
% 299.40/299.77 parent0: (91035) {G2,W11,D3,L2,V3,M2} { ! in( Y, skol7( X, Z ) ), skol15(
% 299.40/299.77 X, Z, Y ) ==> Y }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91037) {G2,W8,D3,L2,V3,M2} { ! in( Y, skol7( X, Z ) ), alpha2
% 299.40/299.77 ( X, Y ) }.
% 299.40/299.77 parent0[0]: (509) {G3,W2,D2,L1,V1,M1} R(42,37);d(488);r(414) { ! alpha7( X
% 299.40/299.77 ) }.
% 299.40/299.77 parent1[0]: (302) {G1,W10,D3,L3,V3,M3} R(35,56) { alpha7( X ), ! in( Y,
% 299.40/299.77 skol7( X, Z ) ), alpha2( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (6888) {G4,W8,D3,L2,V3,M2} S(302);r(509) { ! in( Y, skol7( X,
% 299.40/299.77 Z ) ), alpha2( X, Y ) }.
% 299.40/299.77 parent0: (91037) {G2,W8,D3,L2,V3,M2} { ! in( Y, skol7( X, Z ) ), alpha2( X
% 299.40/299.77 , Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91038) {G5,W8,D3,L2,V3,M2} { alpha1( X, Y ), ! in( Y, skol7(
% 299.40/299.77 X, Z ) ) }.
% 299.40/299.77 parent0[0]: (5090) {G6,W6,D2,L2,V2,M2} R(4849,59);d(58) { ! alpha2( X, Y )
% 299.40/299.77 , alpha1( X, Y ) }.
% 299.40/299.77 parent1[1]: (6888) {G4,W8,D3,L2,V3,M2} S(302);r(509) { ! in( Y, skol7( X, Z
% 299.40/299.77 ) ), alpha2( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (6942) {G7,W8,D3,L2,V3,M2} R(6888,5090) { ! in( X, skol7( Y, Z
% 299.40/299.77 ) ), alpha1( Y, X ) }.
% 299.40/299.77 parent0: (91038) {G5,W8,D3,L2,V3,M2} { alpha1( X, Y ), ! in( Y, skol7( X,
% 299.40/299.77 Z ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91039) {G3,W12,D4,L2,V2,M2} { alpha1( X, skol20( skol7( X, Y
% 299.40/299.77 ) ) ), alpha1( skol1, skol20( skol7( X, Y ) ) ) }.
% 299.40/299.77 parent0[0]: (6942) {G7,W8,D3,L2,V3,M2} R(6888,5090) { ! in( X, skol7( Y, Z
% 299.40/299.77 ) ), alpha1( Y, X ) }.
% 299.40/299.77 parent1[0]: (1535) {G2,W8,D3,L2,V1,M2} R(81,7) { in( skol20( X ), X ),
% 299.40/299.77 alpha1( skol1, skol20( X ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol20( skol7( X, Y ) )
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := skol7( X, Y )
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (7121) {G8,W12,D4,L2,V2,M2} R(6942,1535) { alpha1( X, skol20(
% 299.40/299.77 skol7( X, Y ) ) ), alpha1( skol1, skol20( skol7( X, Y ) ) ) }.
% 299.40/299.77 parent0: (91039) {G3,W12,D4,L2,V2,M2} { alpha1( X, skol20( skol7( X, Y ) )
% 299.40/299.77 ), alpha1( skol1, skol20( skol7( X, Y ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91041) {G8,W6,D4,L1,V1,M1} { alpha1( skol1, skol20( skol7( skol1
% 299.40/299.77 , X ) ) ) }.
% 299.40/299.77 parent0[0, 1]: (7121) {G8,W12,D4,L2,V2,M2} R(6942,1535) { alpha1( X, skol20
% 299.40/299.77 ( skol7( X, Y ) ) ), alpha1( skol1, skol20( skol7( X, Y ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol1
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (7154) {G9,W6,D4,L1,V1,M1} F(7121) { alpha1( skol1, skol20(
% 299.40/299.77 skol7( skol1, X ) ) ) }.
% 299.40/299.77 parent0: (91041) {G8,W6,D4,L1,V1,M1} { alpha1( skol1, skol20( skol7( skol1
% 299.40/299.77 , X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91042) {G4,W6,D4,L1,V1,M1} { alpha9( skol1, skol20( skol7(
% 299.40/299.77 skol1, X ) ) ) }.
% 299.40/299.77 parent0[0]: (2430) {G3,W6,D2,L2,V2,M2} R(191,74);d(201);d(9) { ! alpha1( X
% 299.40/299.77 , Y ), alpha9( X, Y ) }.
% 299.40/299.77 parent1[0]: (7154) {G9,W6,D4,L1,V1,M1} F(7121) { alpha1( skol1, skol20(
% 299.40/299.77 skol7( skol1, X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol1
% 299.40/299.77 Y := skol20( skol7( skol1, X ) )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (7181) {G10,W6,D4,L1,V1,M1} R(7154,2430) { alpha9( skol1,
% 299.40/299.77 skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 parent0: (91042) {G4,W6,D4,L1,V1,M1} { alpha9( skol1, skol20( skol7( skol1
% 299.40/299.77 , X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91045) {G4,W13,D5,L2,V2,M2} { alpha2( X, ordered_pair( skol2
% 299.40/299.77 ( X, Y ), singleton( skol2( X, Y ) ) ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[0]: (1180) {G3,W9,D4,L2,V2,M2} Q(1179) { ! in( X, Y ), alpha2( Y,
% 299.40/299.77 ordered_pair( X, singleton( X ) ) ) }.
% 299.40/299.77 parent1[1]: (5378) {G7,W8,D3,L2,V2,M2} R(5363,191) { ! alpha9( X, Y ), in(
% 299.40/299.77 skol2( X, Y ), X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol2( X, Y )
% 299.40/299.77 Y := X
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (91046) {G5,W15,D4,L3,V2,M3} { alpha2( X, ordered_pair( skol2( X
% 299.40/299.77 , Y ), skol14( X, Y ) ) ), ! alpha9( X, Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[1]: (5375) {G7,W11,D4,L2,V2,M2} R(5363,201) { ! alpha9( X, Y ),
% 299.40/299.77 singleton( skol2( X, Y ) ) ==> skol14( X, Y ) }.
% 299.40/299.77 parent1[0; 6]: (91045) {G4,W13,D5,L2,V2,M2} { alpha2( X, ordered_pair(
% 299.40/299.77 skol2( X, Y ), singleton( skol2( X, Y ) ) ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91047) {G5,W12,D4,L2,V2,M2} { alpha2( X, ordered_pair( skol2( X,
% 299.40/299.77 Y ), skol14( X, Y ) ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[1, 2]: (91046) {G5,W15,D4,L3,V2,M3} { alpha2( X, ordered_pair(
% 299.40/299.77 skol2( X, Y ), skol14( X, Y ) ) ), ! alpha9( X, Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (91048) {G6,W9,D2,L3,V2,M3} { alpha2( X, Y ), ! alpha9( X, Y ), !
% 299.40/299.77 alpha9( X, Y ) }.
% 299.40/299.77 parent0[1]: (5392) {G7,W12,D4,L2,V2,M2} R(5363,9) { ! alpha9( X, Y ),
% 299.40/299.77 ordered_pair( skol2( X, Y ), skol14( X, Y ) ) ==> Y }.
% 299.40/299.77 parent1[0; 2]: (91047) {G5,W12,D4,L2,V2,M2} { alpha2( X, ordered_pair(
% 299.40/299.77 skol2( X, Y ), skol14( X, Y ) ) ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91049) {G6,W6,D2,L2,V2,M2} { alpha2( X, Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 parent0[1, 2]: (91048) {G6,W9,D2,L3,V2,M3} { alpha2( X, Y ), ! alpha9( X,
% 299.40/299.77 Y ), ! alpha9( X, Y ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (9180) {G8,W6,D2,L2,V2,M2} R(1180,5378);d(5375);d(5392) { !
% 299.40/299.77 alpha9( X, Y ), alpha2( X, Y ) }.
% 299.40/299.77 parent0: (91049) {G6,W6,D2,L2,V2,M2} { alpha2( X, Y ), ! alpha9( X, Y )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91050) {G9,W6,D4,L1,V1,M1} { alpha2( skol1, skol20( skol7(
% 299.40/299.77 skol1, X ) ) ) }.
% 299.40/299.77 parent0[0]: (9180) {G8,W6,D2,L2,V2,M2} R(1180,5378);d(5375);d(5392) { !
% 299.40/299.77 alpha9( X, Y ), alpha2( X, Y ) }.
% 299.40/299.77 parent1[0]: (7181) {G10,W6,D4,L1,V1,M1} R(7154,2430) { alpha9( skol1,
% 299.40/299.77 skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol1
% 299.40/299.77 Y := skol20( skol7( skol1, X ) )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (9208) {G11,W6,D4,L1,V1,M1} R(9180,7181) { alpha2( skol1,
% 299.40/299.77 skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 parent0: (91050) {G9,W6,D4,L1,V1,M1} { alpha2( skol1, skol20( skol7( skol1
% 299.40/299.77 , X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91051) {G2,W10,D4,L1,V1,M1} { alpha4( skol1, skol20( skol7(
% 299.40/299.77 skol1, X ) ), skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 parent0[0]: (75) {G1,W7,D2,L2,V2,M2} Q(57) { ! alpha2( X, Y ), alpha4( X, Y
% 299.40/299.77 , Y ) }.
% 299.40/299.77 parent1[0]: (9208) {G11,W6,D4,L1,V1,M1} R(9180,7181) { alpha2( skol1,
% 299.40/299.77 skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol1
% 299.40/299.77 Y := skol20( skol7( skol1, X ) )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (9272) {G12,W10,D4,L1,V1,M1} R(9208,75) { alpha4( skol1,
% 299.40/299.77 skol20( skol7( skol1, X ) ), skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 parent0: (91051) {G2,W10,D4,L1,V1,M1} { alpha4( skol1, skol20( skol7(
% 299.40/299.77 skol1, X ) ), skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91053) {G3,W14,D3,L3,V2,M3} { ! alpha4( skol1, Y, skol20( X )
% 299.40/299.77 ), in( Y, skol7( skol1, skol13 ) ), in( skol20( X ), X ) }.
% 299.40/299.77 parent0[0]: (515) {G4,W14,D3,L3,V4,M3} R(509,36) { ! in( X,
% 299.40/299.77 cartesian_product2( Y, Z ) ), ! alpha4( Y, T, X ), in( T, skol7( Y, Z ) )
% 299.40/299.77 }.
% 299.40/299.77 parent1[1]: (1536) {G2,W10,D3,L2,V1,M2} R(81,6) { in( skol20( X ), X ), in
% 299.40/299.77 ( skol20( X ), cartesian_product2( skol1, skol13 ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol20( X )
% 299.40/299.77 Y := skol1
% 299.40/299.77 Z := skol13
% 299.40/299.77 T := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (29976) {G5,W14,D3,L3,V2,M3} R(1536,515) { in( skol20( X ), X
% 299.40/299.77 ), ! alpha4( skol1, Y, skol20( X ) ), in( Y, skol7( skol1, skol13 ) )
% 299.40/299.77 }.
% 299.40/299.77 parent0: (91053) {G3,W14,D3,L3,V2,M3} { ! alpha4( skol1, Y, skol20( X ) )
% 299.40/299.77 , in( Y, skol7( skol1, skol13 ) ), in( skol20( X ), X ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 2
% 299.40/299.77 2 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91055) {G5,W18,D4,L2,V0,M2} { in( skol20( skol7( skol1, skol13 )
% 299.40/299.77 ), skol7( skol1, skol13 ) ), ! alpha4( skol1, skol20( skol7( skol1,
% 299.40/299.77 skol13 ) ), skol20( skol7( skol1, skol13 ) ) ) }.
% 299.40/299.77 parent0[0, 2]: (29976) {G5,W14,D3,L3,V2,M3} R(1536,515) { in( skol20( X ),
% 299.40/299.77 X ), ! alpha4( skol1, Y, skol20( X ) ), in( Y, skol7( skol1, skol13 ) )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol7( skol1, skol13 )
% 299.40/299.77 Y := skol20( skol7( skol1, skol13 ) )
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91056) {G6,W8,D4,L1,V0,M1} { in( skol20( skol7( skol1, skol13
% 299.40/299.77 ) ), skol7( skol1, skol13 ) ) }.
% 299.40/299.77 parent0[1]: (91055) {G5,W18,D4,L2,V0,M2} { in( skol20( skol7( skol1,
% 299.40/299.77 skol13 ) ), skol7( skol1, skol13 ) ), ! alpha4( skol1, skol20( skol7(
% 299.40/299.77 skol1, skol13 ) ), skol20( skol7( skol1, skol13 ) ) ) }.
% 299.40/299.77 parent1[0]: (9272) {G12,W10,D4,L1,V1,M1} R(9208,75) { alpha4( skol1, skol20
% 299.40/299.77 ( skol7( skol1, X ) ), skol20( skol7( skol1, X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := skol13
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (30015) {G13,W8,D4,L1,V0,M1} F(29976);r(9272) { in( skol20(
% 299.40/299.77 skol7( skol1, skol13 ) ), skol7( skol1, skol13 ) ) }.
% 299.40/299.77 parent0: (91056) {G6,W8,D4,L1,V0,M1} { in( skol20( skol7( skol1, skol13 )
% 299.40/299.77 ), skol7( skol1, skol13 ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91057) {G2,W14,D4,L2,V0,M2} { ! in( skol20( skol7( skol1,
% 299.40/299.77 skol13 ) ), cartesian_product2( skol1, skol13 ) ), ! alpha1( skol1,
% 299.40/299.77 skol20( skol7( skol1, skol13 ) ) ) }.
% 299.40/299.77 parent0[2]: (85) {G1,W14,D3,L3,V1,M3} R(3,1) { ! in( skol20( X ),
% 299.40/299.77 cartesian_product2( skol1, skol13 ) ), ! alpha1( skol1, skol20( X ) ), !
% 299.40/299.77 in( skol20( X ), X ) }.
% 299.40/299.77 parent1[0]: (30015) {G13,W8,D4,L1,V0,M1} F(29976);r(9272) { in( skol20(
% 299.40/299.77 skol7( skol1, skol13 ) ), skol7( skol1, skol13 ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := skol7( skol1, skol13 )
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91058) {G3,W8,D4,L1,V0,M1} { ! in( skol20( skol7( skol1,
% 299.40/299.77 skol13 ) ), cartesian_product2( skol1, skol13 ) ) }.
% 299.40/299.77 parent0[1]: (91057) {G2,W14,D4,L2,V0,M2} { ! in( skol20( skol7( skol1,
% 299.40/299.77 skol13 ) ), cartesian_product2( skol1, skol13 ) ), ! alpha1( skol1,
% 299.40/299.77 skol20( skol7( skol1, skol13 ) ) ) }.
% 299.40/299.77 parent1[0]: (7154) {G9,W6,D4,L1,V1,M1} F(7121) { alpha1( skol1, skol20(
% 299.40/299.77 skol7( skol1, X ) ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := skol13
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (30057) {G14,W8,D4,L1,V0,M1} R(30015,85);r(7154) { ! in(
% 299.40/299.77 skol20( skol7( skol1, skol13 ) ), cartesian_product2( skol1, skol13 ) )
% 299.40/299.77 }.
% 299.40/299.77 parent0: (91058) {G3,W8,D4,L1,V0,M1} { ! in( skol20( skol7( skol1, skol13
% 299.40/299.77 ) ), cartesian_product2( skol1, skol13 ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 paramod: (91060) {G5,W15,D3,L3,V4,M3} { in( Z, cartesian_product2( X, Y )
% 299.40/299.77 ), ! in( Z, skol7( X, Y ) ), ! in( T, skol7( X, Y ) ) }.
% 299.40/299.77 parent0[1]: (6800) {G4,W11,D3,L2,V3,M2} S(301);r(509) { ! in( Y, skol7( X,
% 299.40/299.77 Z ) ), skol15( X, Z, Y ) ==> Y }.
% 299.40/299.77 parent1[1; 1]: (517) {G4,W13,D3,L2,V4,M2} R(509,34) { ! in( X, skol7( Y, Z
% 299.40/299.77 ) ), in( skol15( Y, Z, T ), cartesian_product2( Y, Z ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := Y
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := T
% 299.40/299.77 Y := X
% 299.40/299.77 Z := Y
% 299.40/299.77 T := Z
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (54777) {G5,W15,D3,L3,V4,M3} P(6800,517) { ! in( T, skol7( X,
% 299.40/299.77 Y ) ), in( Z, cartesian_product2( X, Y ) ), ! in( Z, skol7( X, Y ) ) }.
% 299.40/299.77 parent0: (91060) {G5,W15,D3,L3,V4,M3} { in( Z, cartesian_product2( X, Y )
% 299.40/299.77 ), ! in( Z, skol7( X, Y ) ), ! in( T, skol7( X, Y ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 T := T
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 1
% 299.40/299.77 1 ==> 2
% 299.40/299.77 2 ==> 0
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 factor: (91062) {G5,W10,D3,L2,V3,M2} { ! in( X, skol7( Y, Z ) ), in( X,
% 299.40/299.77 cartesian_product2( Y, Z ) ) }.
% 299.40/299.77 parent0[0, 2]: (54777) {G5,W15,D3,L3,V4,M3} P(6800,517) { ! in( T, skol7( X
% 299.40/299.77 , Y ) ), in( Z, cartesian_product2( X, Y ) ), ! in( Z, skol7( X, Y ) )
% 299.40/299.77 }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := Y
% 299.40/299.77 Y := Z
% 299.40/299.77 Z := X
% 299.40/299.77 T := X
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (54784) {G6,W10,D3,L2,V3,M2} F(54777) { ! in( X, skol7( Y, Z )
% 299.40/299.77 ), in( X, cartesian_product2( Y, Z ) ) }.
% 299.40/299.77 parent0: (91062) {G5,W10,D3,L2,V3,M2} { ! in( X, skol7( Y, Z ) ), in( X,
% 299.40/299.77 cartesian_product2( Y, Z ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 X := X
% 299.40/299.77 Y := Y
% 299.40/299.77 Z := Z
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 0 ==> 0
% 299.40/299.77 1 ==> 1
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91063) {G7,W8,D4,L1,V0,M1} { ! in( skol20( skol7( skol1,
% 299.40/299.77 skol13 ) ), skol7( skol1, skol13 ) ) }.
% 299.40/299.77 parent0[0]: (30057) {G14,W8,D4,L1,V0,M1} R(30015,85);r(7154) { ! in( skol20
% 299.40/299.77 ( skol7( skol1, skol13 ) ), cartesian_product2( skol1, skol13 ) ) }.
% 299.40/299.77 parent1[1]: (54784) {G6,W10,D3,L2,V3,M2} F(54777) { ! in( X, skol7( Y, Z )
% 299.40/299.77 ), in( X, cartesian_product2( Y, Z ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 X := skol20( skol7( skol1, skol13 ) )
% 299.40/299.77 Y := skol1
% 299.40/299.77 Z := skol13
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 resolution: (91064) {G8,W0,D0,L0,V0,M0} { }.
% 299.40/299.77 parent0[0]: (91063) {G7,W8,D4,L1,V0,M1} { ! in( skol20( skol7( skol1,
% 299.40/299.77 skol13 ) ), skol7( skol1, skol13 ) ) }.
% 299.40/299.77 parent1[0]: (30015) {G13,W8,D4,L1,V0,M1} F(29976);r(9272) { in( skol20(
% 299.40/299.77 skol7( skol1, skol13 ) ), skol7( skol1, skol13 ) ) }.
% 299.40/299.77 substitution0:
% 299.40/299.77 end
% 299.40/299.77 substitution1:
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 subsumption: (54797) {G15,W0,D0,L0,V0,M0} R(54784,30057);r(30015) { }.
% 299.40/299.77 parent0: (91064) {G8,W0,D0,L0,V0,M0} { }.
% 299.40/299.77 substitution0:
% 299.40/299.77 end
% 299.40/299.77 permutation0:
% 299.40/299.77 end
% 299.40/299.77
% 299.40/299.77 Proof check complete!
% 299.40/299.77
% 299.40/299.77 Memory use:
% 299.40/299.77
% 299.40/299.77 space for terms: 887696
% 299.40/299.77 space for clauses: 2023936
% 299.40/299.77
% 299.40/299.77
% 299.40/299.77 clauses generated: 976446
% 299.40/299.77 clauses kept: 54798
% 299.40/299.77 clauses selected: 4190
% 299.40/299.77 clauses deleted: 4620
% 299.40/299.77 clauses inuse deleted: 174
% 299.40/299.77
% 299.40/299.77 subsentry: 326066302
% 299.40/299.77 literals s-matched: 128484364
% 299.40/299.77 literals matched: 101892780
% 299.40/299.77 full subsumption: 99012160
% 299.40/299.77
% 299.40/299.77 checksum: -1804697155
% 299.40/299.77
% 299.40/299.77
% 299.40/299.77 Bliksem ended
%------------------------------------------------------------------------------