TSTP Solution File: HAL003+3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 : Sat Jul 16 12:44:42 EDT 2022
% Result : Theorem 168.53s 168.99s
% Output : Refutation 168.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.09 % Command : bliksem %s
% 0.07/0.28 % Computer : n032.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % DateTime : Tue Jun 7 21:21:21 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.54/0.95 *** allocated 10000 integers for termspace/termends
% 0.54/0.95 *** allocated 10000 integers for clauses
% 0.54/0.95 *** allocated 10000 integers for justifications
% 0.54/0.95 Bliksem 1.12
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Automatic Strategy Selection
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Clauses:
% 0.54/0.95
% 0.54/0.95 { ! morphism( X, Y, Z ), ! element( T, Y ), element( apply( X, T ), Z ) }.
% 0.54/0.95 { ! morphism( X, Y, Z ), apply( X, zero( Y ) ) = zero( Z ) }.
% 0.54/0.95 { ! injection( X ), ! morphism( X, Y, Z ), ! element( T, Y ), ! element( U
% 0.54/0.95 , Y ), ! apply( X, T ) = apply( X, U ), T = U }.
% 0.54/0.95 { ! morphism( X, Y, Z ), alpha3( Y, skol1( X, Y ), skol14( X, Y ) ),
% 0.54/0.95 injection( X ) }.
% 0.54/0.95 { ! morphism( X, Y, Z ), apply( X, skol1( X, Y ) ) = apply( X, skol14( X, Y
% 0.54/0.95 ) ), injection( X ) }.
% 0.54/0.95 { ! morphism( X, Y, Z ), ! skol1( X, Y ) = skol14( X, Y ), injection( X ) }
% 0.54/0.95 .
% 0.54/0.95 { ! alpha3( X, Y, Z ), element( Y, X ) }.
% 0.54/0.95 { ! alpha3( X, Y, Z ), element( Z, X ) }.
% 0.54/0.95 { ! element( Y, X ), ! element( Z, X ), alpha3( X, Y, Z ) }.
% 0.54/0.95 { ! surjection( X ), ! morphism( X, Y, Z ), ! element( T, Z ), element(
% 0.54/0.95 skol2( U, Y, W ), Y ) }.
% 0.54/0.95 { ! surjection( X ), ! morphism( X, Y, Z ), ! element( T, Z ), apply( X,
% 0.54/0.95 skol2( X, Y, T ) ) = T }.
% 0.54/0.95 { ! morphism( X, Y, Z ), element( skol3( T, U, Z ), Z ), surjection( X ) }
% 0.54/0.95 .
% 0.54/0.95 { ! morphism( X, Y, Z ), ! element( T, Y ), ! apply( X, T ) = skol3( X, Y,
% 0.54/0.95 Z ), surjection( X ) }.
% 0.54/0.95 { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! element
% 0.54/0.95 ( W, T ), ! apply( Y, W ) = zero( U ), alpha1( X, Z, W ) }.
% 0.54/0.95 { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! alpha1(
% 0.54/0.95 X, Z, W ), element( W, T ) }.
% 0.54/0.95 { ! exact( X, Y ), ! morphism( X, Z, T ), ! morphism( Y, T, U ), ! alpha1(
% 0.54/0.95 X, Z, W ), apply( Y, W ) = zero( U ) }.
% 0.54/0.95 { ! alpha1( X, Y, Z ), element( skol4( T, Y, U ), Y ) }.
% 0.54/0.95 { ! alpha1( X, Y, Z ), apply( X, skol4( X, Y, Z ) ) = Z }.
% 0.54/0.95 { ! element( T, Y ), ! apply( X, T ) = Z, alpha1( X, Y, Z ) }.
% 0.54/0.95 { ! morphism( X, Z, T ), ! morphism( Y, T, U ), alpha7( X, Y, Z, T, U,
% 0.54/0.95 skol5( X, Y, Z, T, U ) ), alpha2( X, Z, skol5( X, Y, Z, T, U ) ), exact(
% 0.54/0.95 X, Y ) }.
% 0.54/0.95 { ! morphism( X, Z, T ), ! morphism( Y, T, U ), alpha7( X, Y, Z, T, U,
% 0.54/0.95 skol5( X, Y, Z, T, U ) ), ! element( skol5( X, Y, Z, T, U ), T ), ! apply
% 0.54/0.95 ( Y, skol5( X, Y, Z, T, U ) ) = zero( U ), exact( X, Y ) }.
% 0.54/0.95 { ! alpha7( X, Y, Z, T, U, W ), alpha4( Y, T, U, W ) }.
% 0.54/0.95 { ! alpha7( X, Y, Z, T, U, W ), ! alpha2( X, Z, W ) }.
% 0.54/0.95 { ! alpha4( Y, T, U, W ), alpha2( X, Z, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.54/0.95 { ! alpha4( X, Y, Z, T ), element( T, Y ) }.
% 0.54/0.95 { ! alpha4( X, Y, Z, T ), apply( X, T ) = zero( Z ) }.
% 0.54/0.95 { ! element( T, Y ), ! apply( X, T ) = zero( Z ), alpha4( X, Y, Z, T ) }.
% 0.54/0.95 { ! alpha2( X, Y, Z ), element( skol6( T, Y, U ), Y ) }.
% 0.54/0.95 { ! alpha2( X, Y, Z ), apply( X, skol6( X, Y, Z ) ) = Z }.
% 0.54/0.95 { ! element( T, Y ), ! apply( X, T ) = Z, alpha2( X, Y, Z ) }.
% 0.54/0.95 { ! commute( X, Y, Z, T ), ! morphism( X, U, W ), ! morphism( Y, W, V0 ), !
% 0.54/0.95 morphism( Z, U, V1 ), ! morphism( T, V1, V0 ), ! element( V2, U ), apply
% 0.54/0.95 ( Y, apply( X, V2 ) ) = apply( T, apply( Z, V2 ) ) }.
% 0.54/0.95 { ! morphism( X, U, W ), ! morphism( Y, W, V0 ), ! morphism( Z, U, V1 ), !
% 0.54/0.95 morphism( T, V1, V0 ), element( skol7( V2, V3, V4, V5, U ), U ), commute
% 0.54/0.95 ( X, Y, Z, T ) }.
% 0.54/0.95 { ! morphism( X, U, W ), ! morphism( Y, W, V0 ), ! morphism( Z, U, V1 ), !
% 0.54/0.95 morphism( T, V1, V0 ), ! apply( Y, apply( X, skol7( X, Y, Z, T, U ) ) ) =
% 0.54/0.95 apply( T, apply( Z, skol7( X, Y, Z, T, U ) ) ), commute( X, Y, Z, T ) }
% 0.54/0.95 .
% 0.54/0.95 { ! element( Y, X ), ! element( Z, X ), element( subtract( X, Y, Z ), X ) }
% 0.54/0.95 .
% 0.54/0.95 { ! element( Y, X ), subtract( X, Y, Y ) = zero( X ) }.
% 0.54/0.95 { ! element( Y, X ), ! element( Z, X ), subtract( X, Y, subtract( X, Y, Z )
% 0.54/0.95 ) = Z }.
% 0.54/0.95 { ! morphism( X, Y, Z ), ! element( T, Y ), ! element( U, Y ), apply( X,
% 0.54/0.95 subtract( Y, T, U ) ) = subtract( Z, apply( X, T ), apply( X, U ) ) }.
% 0.54/0.95 { morphism( alpha, a, b ) }.
% 0.54/0.95 { morphism( beta, b, c ) }.
% 0.54/0.95 { morphism( gamma, d, e ) }.
% 0.54/0.95 { morphism( delta, e, r ) }.
% 0.54/0.95 { morphism( f, a, d ) }.
% 0.54/0.95 { morphism( g, b, e ) }.
% 0.54/0.95 { morphism( h, c, r ) }.
% 0.54/0.95 { injection( alpha ) }.
% 0.54/0.95 { injection( gamma ) }.
% 0.54/0.95 { surjection( beta ) }.
% 0.54/0.95 { surjection( delta ) }.
% 0.54/0.95 { exact( alpha, beta ) }.
% 0.54/0.95 { exact( gammma, delta ) }.
% 0.54/0.95 { commute( alpha, g, f, gamma ) }.
% 0.54/0.95 { commute( beta, h, g, delta ) }.
% 8.30/8.69 { surjection( f ) }.
% 8.30/8.69 { surjection( h ) }.
% 8.30/8.69 { ! element( X, e ), element( skol8( Y ), r ) }.
% 8.30/8.69 { ! element( X, e ), alpha5( skol8( Y ) ) }.
% 8.30/8.69 { ! element( X, e ), apply( delta, X ) = skol8( X ) }.
% 8.30/8.69 { ! alpha5( X ), element( skol9( Y ), b ) }.
% 8.30/8.69 { ! alpha5( X ), apply( h, apply( beta, skol9( X ) ) ) = X }.
% 8.30/8.69 { ! alpha5( X ), apply( delta, apply( g, skol9( X ) ) ) = X }.
% 8.30/8.69 { ! element( Y, b ), ! apply( h, apply( beta, Y ) ) = X, ! apply( delta,
% 8.30/8.69 apply( g, Y ) ) = X, alpha5( X ) }.
% 8.30/8.69 { ! element( X, e ), element( skol10( Y ), b ) }.
% 8.30/8.69 { ! element( X, e ), alpha8( X, skol10( X ) ) }.
% 8.30/8.69 { ! alpha8( X, Y ), element( skol11( Z, T ), e ) }.
% 8.30/8.69 { ! alpha8( X, Y ), alpha6( skol11( Z, T ) ) }.
% 8.30/8.69 { ! alpha8( X, Y ), subtract( e, apply( g, Y ), X ) = skol11( X, Y ) }.
% 8.30/8.69 { ! element( Z, e ), ! subtract( e, apply( g, Y ), X ) = Z, ! alpha6( Z ),
% 8.30/8.69 alpha8( X, Y ) }.
% 8.30/8.69 { ! alpha6( X ), element( skol12( Y ), a ) }.
% 8.30/8.69 { ! alpha6( X ), apply( gamma, apply( f, skol12( X ) ) ) = X }.
% 8.30/8.69 { ! alpha6( X ), apply( g, apply( alpha, skol12( X ) ) ) = X }.
% 8.30/8.69 { ! element( Y, a ), ! apply( gamma, apply( f, Y ) ) = X, ! apply( g, apply
% 8.30/8.69 ( alpha, Y ) ) = X, alpha6( X ) }.
% 8.30/8.69 { ! element( X, e ), element( skol13( Y ), b ) }.
% 8.30/8.69 { ! element( X, e ), element( skol15( Y ), b ) }.
% 8.30/8.69 { ! element( X, e ), apply( g, subtract( b, skol13( X ), skol15( X ) ) ) =
% 8.30/8.69 X }.
% 8.30/8.69 { ! surjection( g ) }.
% 8.30/8.69
% 8.30/8.69 percentage equality = 0.171875, percentage horn = 0.906667
% 8.30/8.69 This is a problem with some equality
% 8.30/8.69
% 8.30/8.69
% 8.30/8.69
% 8.30/8.69 Options Used:
% 8.30/8.69
% 8.30/8.69 useres = 1
% 8.30/8.69 useparamod = 1
% 8.30/8.69 useeqrefl = 1
% 8.30/8.69 useeqfact = 1
% 8.30/8.69 usefactor = 1
% 8.30/8.69 usesimpsplitting = 0
% 8.30/8.69 usesimpdemod = 5
% 8.30/8.69 usesimpres = 3
% 8.30/8.69
% 8.30/8.69 resimpinuse = 1000
% 8.30/8.69 resimpclauses = 20000
% 8.30/8.69 substype = eqrewr
% 8.30/8.69 backwardsubs = 1
% 8.30/8.69 selectoldest = 5
% 8.30/8.69
% 8.30/8.69 litorderings [0] = split
% 8.30/8.69 litorderings [1] = extend the termordering, first sorting on arguments
% 8.30/8.69
% 8.30/8.69 termordering = kbo
% 8.30/8.69
% 8.30/8.69 litapriori = 0
% 8.30/8.69 termapriori = 1
% 8.30/8.69 litaposteriori = 0
% 8.30/8.69 termaposteriori = 0
% 8.30/8.69 demodaposteriori = 0
% 8.30/8.69 ordereqreflfact = 0
% 8.30/8.69
% 8.30/8.69 litselect = negord
% 8.30/8.69
% 8.30/8.69 maxweight = 15
% 8.30/8.69 maxdepth = 30000
% 8.30/8.69 maxlength = 115
% 8.30/8.69 maxnrvars = 195
% 8.30/8.69 excuselevel = 1
% 8.30/8.69 increasemaxweight = 1
% 8.30/8.69
% 8.30/8.69 maxselected = 10000000
% 8.30/8.69 maxnrclauses = 10000000
% 8.30/8.69
% 8.30/8.69 showgenerated = 0
% 8.30/8.69 showkept = 0
% 8.30/8.69 showselected = 0
% 8.30/8.69 showdeleted = 0
% 8.30/8.69 showresimp = 1
% 8.30/8.69 showstatus = 2000
% 8.30/8.69
% 8.30/8.69 prologoutput = 0
% 8.30/8.69 nrgoals = 5000000
% 8.30/8.69 totalproof = 1
% 8.30/8.69
% 8.30/8.69 Symbols occurring in the translation:
% 8.30/8.69
% 8.30/8.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.30/8.69 . [1, 2] (w:1, o:60, a:1, s:1, b:0),
% 8.30/8.69 ! [4, 1] (w:0, o:44, a:1, s:1, b:0),
% 8.30/8.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.30/8.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.30/8.69 morphism [38, 3] (w:1, o:91, a:1, s:1, b:0),
% 8.30/8.69 element [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 8.30/8.69 apply [41, 2] (w:1, o:85, a:1, s:1, b:0),
% 8.30/8.69 zero [42, 1] (w:1, o:49, a:1, s:1, b:0),
% 8.30/8.69 injection [43, 1] (w:1, o:50, a:1, s:1, b:0),
% 8.30/8.69 surjection [46, 1] (w:1, o:51, a:1, s:1, b:0),
% 8.30/8.69 exact [52, 2] (w:1, o:86, a:1, s:1, b:0),
% 8.30/8.69 commute [60, 4] (w:1, o:100, a:1, s:1, b:0),
% 8.30/8.69 subtract [61, 3] (w:1, o:92, a:1, s:1, b:0),
% 8.30/8.69 alpha [62, 0] (w:1, o:27, a:1, s:1, b:0),
% 8.30/8.69 a [63, 0] (w:1, o:28, a:1, s:1, b:0),
% 8.30/8.69 b [64, 0] (w:1, o:29, a:1, s:1, b:0),
% 8.30/8.69 beta [65, 0] (w:1, o:30, a:1, s:1, b:0),
% 8.30/8.69 c [66, 0] (w:1, o:31, a:1, s:1, b:0),
% 8.30/8.69 gamma [67, 0] (w:1, o:33, a:1, s:1, b:0),
% 8.30/8.69 d [68, 0] (w:1, o:34, a:1, s:1, b:0),
% 8.30/8.69 e [69, 0] (w:1, o:36, a:1, s:1, b:0),
% 8.30/8.69 delta [70, 0] (w:1, o:35, a:1, s:1, b:0),
% 8.30/8.69 r [71, 0] (w:1, o:37, a:1, s:1, b:0),
% 8.30/8.69 f [72, 0] (w:1, o:32, a:1, s:1, b:0),
% 8.30/8.69 g [73, 0] (w:1, o:38, a:1, s:1, b:0),
% 8.30/8.69 h [74, 0] (w:1, o:40, a:1, s:1, b:0),
% 8.30/8.69 gammma [75, 0] (w:1, o:39, a:1, s:1, b:0),
% 8.30/8.69 alpha1 [82, 3] (w:1, o:93, a:1, s:1, b:1),
% 8.30/8.69 alpha2 [83, 3] (w:1, o:94, a:1, s:1, b:1),
% 8.30/8.69 alpha3 [84, 3] (w:1, o:95, a:1, s:1, b:1),
% 8.30/8.69 alpha4 [85, 4] (w:1, o:101, a:1, s:1, b:1),
% 8.30/8.69 alpha5 [86, 1] (w:1, o:52, a:1, s:1, b:1),
% 8.30/8.69 alpha6 [87, 1] (w:1, o:53, a:1, s:1, b:1),
% 37.72/38.12 alpha7 [88, 6] (w:1, o:104, a:1, s:1, b:1),
% 37.72/38.12 alpha8 [89, 2] (w:1, o:87, a:1, s:1, b:1),
% 37.72/38.12 skol1 [90, 2] (w:1, o:88, a:1, s:1, b:1),
% 37.72/38.12 skol2 [91, 3] (w:1, o:96, a:1, s:1, b:1),
% 37.72/38.12 skol3 [92, 3] (w:1, o:97, a:1, s:1, b:1),
% 37.72/38.12 skol4 [93, 3] (w:1, o:98, a:1, s:1, b:1),
% 37.72/38.12 skol5 [94, 5] (w:1, o:102, a:1, s:1, b:1),
% 37.72/38.12 skol6 [95, 3] (w:1, o:99, a:1, s:1, b:1),
% 37.72/38.12 skol7 [96, 5] (w:1, o:103, a:1, s:1, b:1),
% 37.72/38.12 skol8 [97, 1] (w:1, o:54, a:1, s:1, b:1),
% 37.72/38.12 skol9 [98, 1] (w:1, o:55, a:1, s:1, b:1),
% 37.72/38.12 skol10 [99, 1] (w:1, o:56, a:1, s:1, b:1),
% 37.72/38.12 skol11 [100, 2] (w:1, o:89, a:1, s:1, b:1),
% 37.72/38.12 skol12 [101, 1] (w:1, o:57, a:1, s:1, b:1),
% 37.72/38.12 skol13 [102, 1] (w:1, o:58, a:1, s:1, b:1),
% 37.72/38.12 skol14 [103, 2] (w:1, o:90, a:1, s:1, b:1),
% 37.72/38.12 skol15 [104, 1] (w:1, o:59, a:1, s:1, b:1).
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Starting Search:
% 37.72/38.12
% 37.72/38.12 *** allocated 15000 integers for clauses
% 37.72/38.12 *** allocated 22500 integers for clauses
% 37.72/38.12 *** allocated 33750 integers for clauses
% 37.72/38.12 *** allocated 15000 integers for termspace/termends
% 37.72/38.12 *** allocated 50625 integers for clauses
% 37.72/38.12 *** allocated 22500 integers for termspace/termends
% 37.72/38.12 *** allocated 75937 integers for clauses
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 33750 integers for termspace/termends
% 37.72/38.12 *** allocated 113905 integers for clauses
% 37.72/38.12 *** allocated 50625 integers for termspace/termends
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 6995
% 37.72/38.12 Kept: 2018
% 37.72/38.12 Inuse: 208
% 37.72/38.12 Deleted: 28
% 37.72/38.12 Deletedinuse: 20
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 170857 integers for clauses
% 37.72/38.12 *** allocated 75937 integers for termspace/termends
% 37.72/38.12 *** allocated 256285 integers for clauses
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 48148
% 37.72/38.12 Kept: 4028
% 37.72/38.12 Inuse: 568
% 37.72/38.12 Deleted: 54
% 37.72/38.12 Deletedinuse: 28
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 113905 integers for termspace/termends
% 37.72/38.12 *** allocated 384427 integers for clauses
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 125509
% 37.72/38.12 Kept: 6144
% 37.72/38.12 Inuse: 876
% 37.72/38.12 Deleted: 158
% 37.72/38.12 Deletedinuse: 33
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 170857 integers for termspace/termends
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 576640 integers for clauses
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 170954
% 37.72/38.12 Kept: 8191
% 37.72/38.12 Inuse: 1062
% 37.72/38.12 Deleted: 249
% 37.72/38.12 Deletedinuse: 33
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 210977
% 37.72/38.12 Kept: 10194
% 37.72/38.12 Inuse: 1231
% 37.72/38.12 Deleted: 266
% 37.72/38.12 Deletedinuse: 34
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 256285 integers for termspace/termends
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 864960 integers for clauses
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 275168
% 37.72/38.12 Kept: 12216
% 37.72/38.12 Inuse: 1427
% 37.72/38.12 Deleted: 301
% 37.72/38.12 Deletedinuse: 46
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 329469
% 37.72/38.12 Kept: 14224
% 37.72/38.12 Inuse: 1570
% 37.72/38.12 Deleted: 325
% 37.72/38.12 Deletedinuse: 47
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 405690
% 37.72/38.12 Kept: 16236
% 37.72/38.12 Inuse: 1787
% 37.72/38.12 Deleted: 419
% 37.72/38.12 Deletedinuse: 51
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 384427 integers for termspace/termends
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 444142
% 37.72/38.12 Kept: 18255
% 37.72/38.12 Inuse: 1903
% 37.72/38.12 Deleted: 425
% 37.72/38.12 Deletedinuse: 51
% 37.72/38.12
% 37.72/38.12 *** allocated 1297440 integers for clauses
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 Resimplifying clauses:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 624894
% 37.72/38.12 Kept: 20290
% 37.72/38.12 Inuse: 2282
% 37.72/38.12 Deleted: 1926
% 37.72/38.12 Deletedinuse: 65
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 674832
% 37.72/38.12 Kept: 22292
% 37.72/38.12 Inuse: 2416
% 37.72/38.12 Deleted: 1926
% 37.72/38.12 Deletedinuse: 65
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 740317
% 37.72/38.12 Kept: 24299
% 37.72/38.12 Inuse: 2682
% 37.72/38.12 Deleted: 1971
% 37.72/38.12 Deletedinuse: 65
% 37.72/38.12
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12 *** allocated 576640 integers for termspace/termends
% 37.72/38.12 Resimplifying inuse:
% 37.72/38.12 Done
% 37.72/38.12
% 37.72/38.12
% 37.72/38.12 Intermediate Status:
% 37.72/38.12 Generated: 798471
% 37.72/38.12 Kept: 26304
% 37.72/38.12 Inuse: 2854
% 168.53/168.98 Deleted: 1971
% 168.53/168.98 Deletedinuse: 65
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 821612
% 168.53/168.98 Kept: 28304
% 168.53/168.98 Inuse: 2898
% 168.53/168.98 Deleted: 1971
% 168.53/168.98 Deletedinuse: 65
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 *** allocated 1946160 integers for clauses
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 860570
% 168.53/168.98 Kept: 30310
% 168.53/168.98 Inuse: 2956
% 168.53/168.98 Deleted: 1971
% 168.53/168.98 Deletedinuse: 65
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 996719
% 168.53/168.98 Kept: 32330
% 168.53/168.98 Inuse: 3255
% 168.53/168.98 Deleted: 1973
% 168.53/168.98 Deletedinuse: 66
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1091627
% 168.53/168.98 Kept: 34346
% 168.53/168.98 Inuse: 3405
% 168.53/168.98 Deleted: 1981
% 168.53/168.98 Deletedinuse: 74
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1154388
% 168.53/168.98 Kept: 36374
% 168.53/168.98 Inuse: 3574
% 168.53/168.98 Deleted: 1989
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 *** allocated 864960 integers for termspace/termends
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1203386
% 168.53/168.98 Kept: 38379
% 168.53/168.98 Inuse: 3725
% 168.53/168.98 Deleted: 1989
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying clauses:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1309014
% 168.53/168.98 Kept: 40528
% 168.53/168.98 Inuse: 3857
% 168.53/168.98 Deleted: 3599
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 *** allocated 2919240 integers for clauses
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1362638
% 168.53/168.98 Kept: 42566
% 168.53/168.98 Inuse: 3903
% 168.53/168.98 Deleted: 3599
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1450371
% 168.53/168.98 Kept: 44580
% 168.53/168.98 Inuse: 3985
% 168.53/168.98 Deleted: 3601
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1588344
% 168.53/168.98 Kept: 46597
% 168.53/168.98 Inuse: 4050
% 168.53/168.98 Deleted: 3667
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1634635
% 168.53/168.98 Kept: 48599
% 168.53/168.98 Inuse: 4114
% 168.53/168.98 Deleted: 3667
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1668703
% 168.53/168.98 Kept: 50613
% 168.53/168.98 Inuse: 4170
% 168.53/168.98 Deleted: 3667
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1697718
% 168.53/168.98 Kept: 52624
% 168.53/168.98 Inuse: 4226
% 168.53/168.98 Deleted: 3667
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1796470
% 168.53/168.98 Kept: 54642
% 168.53/168.98 Inuse: 4349
% 168.53/168.98 Deleted: 3667
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1894791
% 168.53/168.98 Kept: 56643
% 168.53/168.98 Inuse: 4445
% 168.53/168.98 Deleted: 3667
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 *** allocated 1297440 integers for termspace/termends
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 1972976
% 168.53/168.98 Kept: 58721
% 168.53/168.98 Inuse: 4545
% 168.53/168.98 Deleted: 3667
% 168.53/168.98 Deletedinuse: 82
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying clauses:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2029170
% 168.53/168.98 Kept: 60824
% 168.53/168.98 Inuse: 4622
% 168.53/168.98 Deleted: 4427
% 168.53/168.98 Deletedinuse: 85
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 *** allocated 4378860 integers for clauses
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2066503
% 168.53/168.98 Kept: 62895
% 168.53/168.98 Inuse: 4675
% 168.53/168.98 Deleted: 4429
% 168.53/168.98 Deletedinuse: 87
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2099295
% 168.53/168.98 Kept: 64923
% 168.53/168.98 Inuse: 4716
% 168.53/168.98 Deleted: 4429
% 168.53/168.98 Deletedinuse: 87
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2138530
% 168.53/168.98 Kept: 66990
% 168.53/168.98 Inuse: 4755
% 168.53/168.98 Deleted: 4432
% 168.53/168.98 Deletedinuse: 89
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2195448
% 168.53/168.98 Kept: 69036
% 168.53/168.98 Inuse: 4803
% 168.53/168.98 Deleted: 4433
% 168.53/168.98 Deletedinuse: 89
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2246325
% 168.53/168.98 Kept: 71123
% 168.53/168.98 Inuse: 4877
% 168.53/168.98 Deleted: 4437
% 168.53/168.98 Deletedinuse: 93
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2318641
% 168.53/168.98 Kept: 73204
% 168.53/168.98 Inuse: 4972
% 168.53/168.98 Deleted: 4438
% 168.53/168.98 Deletedinuse: 93
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2354464
% 168.53/168.98 Kept: 75228
% 168.53/168.98 Inuse: 5007
% 168.53/168.98 Deleted: 4439
% 168.53/168.98 Deletedinuse: 93
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2459512
% 168.53/168.98 Kept: 77273
% 168.53/168.98 Inuse: 5125
% 168.53/168.98 Deleted: 4439
% 168.53/168.98 Deletedinuse: 93
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2515171
% 168.53/168.98 Kept: 79599
% 168.53/168.98 Inuse: 5183
% 168.53/168.98 Deleted: 4439
% 168.53/168.98 Deletedinuse: 93
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying clauses:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 2892859
% 168.53/168.98 Kept: 81612
% 168.53/168.98 Inuse: 5497
% 168.53/168.98 Deleted: 5469
% 168.53/168.98 Deletedinuse: 93
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98 Resimplifying inuse:
% 168.53/168.98 Done
% 168.53/168.98
% 168.53/168.98
% 168.53/168.98 Intermediate Status:
% 168.53/168.98 Generated: 3025075
% 168.53/168.99 Kept: 83932
% 168.53/168.99 Inuse: 5610
% 168.53/168.99 Deleted: 5470
% 168.53/168.99 Deletedinuse: 93
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 *** allocated 1946160 integers for termspace/termends
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3157214
% 168.53/168.99 Kept: 85934
% 168.53/168.99 Inuse: 5755
% 168.53/168.99 Deleted: 5473
% 168.53/168.99 Deletedinuse: 96
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3204054
% 168.53/168.99 Kept: 88170
% 168.53/168.99 Inuse: 5808
% 168.53/168.99 Deleted: 5554
% 168.53/168.99 Deletedinuse: 176
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3340169
% 168.53/168.99 Kept: 90213
% 168.53/168.99 Inuse: 5879
% 168.53/168.99 Deleted: 5560
% 168.53/168.99 Deletedinuse: 182
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3394351
% 168.53/168.99 Kept: 92262
% 168.53/168.99 Inuse: 5931
% 168.53/168.99 Deleted: 5560
% 168.53/168.99 Deletedinuse: 182
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3488919
% 168.53/168.99 Kept: 94394
% 168.53/168.99 Inuse: 5974
% 168.53/168.99 Deleted: 5560
% 168.53/168.99 Deletedinuse: 182
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 *** allocated 6568290 integers for clauses
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3609797
% 168.53/168.99 Kept: 96471
% 168.53/168.99 Inuse: 6081
% 168.53/168.99 Deleted: 5560
% 168.53/168.99 Deletedinuse: 182
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3696089
% 168.53/168.99 Kept: 98562
% 168.53/168.99 Inuse: 6152
% 168.53/168.99 Deleted: 5564
% 168.53/168.99 Deletedinuse: 182
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying clauses:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3727812
% 168.53/168.99 Kept: 100751
% 168.53/168.99 Inuse: 6180
% 168.53/168.99 Deleted: 8232
% 168.53/168.99 Deletedinuse: 185
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3785636
% 168.53/168.99 Kept: 102752
% 168.53/168.99 Inuse: 6220
% 168.53/168.99 Deleted: 8232
% 168.53/168.99 Deletedinuse: 185
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 3932060
% 168.53/168.99 Kept: 104788
% 168.53/168.99 Inuse: 6292
% 168.53/168.99 Deleted: 8233
% 168.53/168.99 Deletedinuse: 185
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99 Resimplifying inuse:
% 168.53/168.99 Done
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Intermediate Status:
% 168.53/168.99 Generated: 4501909
% 168.53/168.99 Kept: 106842
% 168.53/168.99 Inuse: 6773
% 168.53/168.99 Deleted: 8235
% 168.53/168.99 Deletedinuse: 185
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Bliksems!, er is een bewijs:
% 168.53/168.99 % SZS status Theorem
% 168.53/168.99 % SZS output start Refutation
% 168.53/168.99
% 168.53/168.99 (11) {G0,W12,D3,L3,V5,M3} I { ! morphism( X, Y, Z ), element( skol3( T, U,
% 168.53/168.99 Z ), Z ), surjection( X ) }.
% 168.53/168.99 (12) {G0,W17,D3,L4,V4,M4} I { ! morphism( X, Y, Z ), ! element( T, Y ), !
% 168.53/168.99 apply( X, T ) = skol3( X, Y, Z ), surjection( X ) }.
% 168.53/168.99 (33) {G0,W12,D3,L3,V3,M3} I { ! element( Y, X ), ! element( Z, X ), element
% 168.53/168.99 ( subtract( X, Y, Z ), X ) }.
% 168.53/168.99 (42) {G0,W4,D2,L1,V0,M1} I { morphism( g, b, e ) }.
% 168.53/168.99 (71) {G0,W7,D3,L2,V2,M2} I { ! element( X, e ), element( skol13( Y ), b )
% 168.53/168.99 }.
% 168.53/168.99 (72) {G0,W7,D3,L2,V2,M2} I { ! element( X, e ), element( skol15( Y ), b )
% 168.53/168.99 }.
% 168.53/168.99 (73) {G0,W13,D5,L2,V1,M2} I { ! element( X, e ), apply( g, subtract( b,
% 168.53/168.99 skol13( X ), skol15( X ) ) ) ==> X }.
% 168.53/168.99 (74) {G0,W2,D2,L1,V0,M1} I { ! surjection( g ) }.
% 168.53/168.99 (430) {G1,W6,D3,L1,V2,M1} R(11,42);r(74) { element( skol3( X, Y, e ), e )
% 168.53/168.99 }.
% 168.53/168.99 (444) {G2,W4,D3,L1,V1,M1} R(430,71) { element( skol13( X ), b ) }.
% 168.53/168.99 (447) {G2,W4,D3,L1,V1,M1} R(430,72) { element( skol15( X ), b ) }.
% 168.53/168.99 (473) {G1,W11,D3,L2,V1,M2} R(12,42);r(74) { ! element( X, b ), ! apply( g,
% 168.53/168.99 X ) = skol3( g, b, e ) }.
% 168.53/168.99 (1370) {G3,W10,D4,L2,V2,M2} R(33,447) { ! element( X, b ), element(
% 168.53/168.99 subtract( b, X, skol15( Y ) ), b ) }.
% 168.53/168.99 (2044) {G1,W25,D6,L3,V4,M3} R(73,11) { apply( g, subtract( b, skol13( skol3
% 168.53/168.99 ( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ) ) ==> skol3( X, Y, e ), !
% 168.53/168.99 morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 (37864) {G4,W8,D4,L1,V2,M1} R(1370,444) { element( subtract( b, skol13( X )
% 168.53/168.99 , skol15( Y ) ), b ) }.
% 168.53/168.99 (107249) {G5,W15,D3,L3,V4,M3} P(2044,473);r(37864) { ! skol3( X, Y, e ) =
% 168.53/168.99 skol3( g, b, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 (107250) {G6,W6,D2,L2,V2,M2} Q(107249) { ! morphism( X, Y, e ), surjection
% 168.53/168.99 ( X ) }.
% 168.53/168.99 (107271) {G7,W0,D0,L0,V0,M0} R(107250,42);r(74) { }.
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 % SZS output end Refutation
% 168.53/168.99 found a proof!
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Unprocessed initial clauses:
% 168.53/168.99
% 168.53/168.99 (107273) {G0,W12,D3,L3,V4,M3} { ! morphism( X, Y, Z ), ! element( T, Y ),
% 168.53/168.99 element( apply( X, T ), Z ) }.
% 168.53/168.99 (107274) {G0,W11,D4,L2,V3,M2} { ! morphism( X, Y, Z ), apply( X, zero( Y )
% 168.53/168.99 ) = zero( Z ) }.
% 168.53/168.99 (107275) {G0,W22,D3,L6,V5,M6} { ! injection( X ), ! morphism( X, Y, Z ), !
% 168.53/168.99 element( T, Y ), ! element( U, Y ), ! apply( X, T ) = apply( X, U ), T =
% 168.53/168.99 U }.
% 168.53/168.99 (107276) {G0,W14,D3,L3,V3,M3} { ! morphism( X, Y, Z ), alpha3( Y, skol1( X
% 168.53/168.99 , Y ), skol14( X, Y ) ), injection( X ) }.
% 168.53/168.99 (107277) {G0,W17,D4,L3,V3,M3} { ! morphism( X, Y, Z ), apply( X, skol1( X
% 168.53/168.99 , Y ) ) = apply( X, skol14( X, Y ) ), injection( X ) }.
% 168.53/168.99 (107278) {G0,W13,D3,L3,V3,M3} { ! morphism( X, Y, Z ), ! skol1( X, Y ) =
% 168.53/168.99 skol14( X, Y ), injection( X ) }.
% 168.53/168.99 (107279) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), element( Y, X ) }.
% 168.53/168.99 (107280) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), element( Z, X ) }.
% 168.53/168.99 (107281) {G0,W10,D2,L3,V3,M3} { ! element( Y, X ), ! element( Z, X ),
% 168.53/168.99 alpha3( X, Y, Z ) }.
% 168.53/168.99 (107282) {G0,W15,D3,L4,V6,M4} { ! surjection( X ), ! morphism( X, Y, Z ),
% 168.53/168.99 ! element( T, Z ), element( skol2( U, Y, W ), Y ) }.
% 168.53/168.99 (107283) {G0,W17,D4,L4,V4,M4} { ! surjection( X ), ! morphism( X, Y, Z ),
% 168.53/168.99 ! element( T, Z ), apply( X, skol2( X, Y, T ) ) = T }.
% 168.53/168.99 (107284) {G0,W12,D3,L3,V5,M3} { ! morphism( X, Y, Z ), element( skol3( T,
% 168.53/168.99 U, Z ), Z ), surjection( X ) }.
% 168.53/168.99 (107285) {G0,W17,D3,L4,V4,M4} { ! morphism( X, Y, Z ), ! element( T, Y ),
% 168.53/168.99 ! apply( X, T ) = skol3( X, Y, Z ), surjection( X ) }.
% 168.53/168.99 (107286) {G0,W24,D3,L6,V6,M6} { ! exact( X, Y ), ! morphism( X, Z, T ), !
% 168.53/168.99 morphism( Y, T, U ), ! element( W, T ), ! apply( Y, W ) = zero( U ),
% 168.53/168.99 alpha1( X, Z, W ) }.
% 168.53/168.99 (107287) {G0,W18,D2,L5,V6,M5} { ! exact( X, Y ), ! morphism( X, Z, T ), !
% 168.53/168.99 morphism( Y, T, U ), ! alpha1( X, Z, W ), element( W, T ) }.
% 168.53/168.99 (107288) {G0,W21,D3,L5,V6,M5} { ! exact( X, Y ), ! morphism( X, Z, T ), !
% 168.53/168.99 morphism( Y, T, U ), ! alpha1( X, Z, W ), apply( Y, W ) = zero( U ) }.
% 168.53/168.99 (107289) {G0,W10,D3,L2,V5,M2} { ! alpha1( X, Y, Z ), element( skol4( T, Y
% 168.53/168.99 , U ), Y ) }.
% 168.53/168.99 (107290) {G0,W12,D4,L2,V3,M2} { ! alpha1( X, Y, Z ), apply( X, skol4( X, Y
% 168.53/168.99 , Z ) ) = Z }.
% 168.53/168.99 (107291) {G0,W12,D3,L3,V4,M3} { ! element( T, Y ), ! apply( X, T ) = Z,
% 168.53/168.99 alpha1( X, Y, Z ) }.
% 168.53/168.99 (107292) {G0,W32,D3,L5,V5,M5} { ! morphism( X, Z, T ), ! morphism( Y, T, U
% 168.53/168.99 ), alpha7( X, Y, Z, T, U, skol5( X, Y, Z, T, U ) ), alpha2( X, Z, skol5
% 168.53/168.99 ( X, Y, Z, T, U ) ), exact( X, Y ) }.
% 168.53/168.99 (107293) {G0,W42,D4,L6,V5,M6} { ! morphism( X, Z, T ), ! morphism( Y, T, U
% 168.53/168.99 ), alpha7( X, Y, Z, T, U, skol5( X, Y, Z, T, U ) ), ! element( skol5( X
% 168.53/168.99 , Y, Z, T, U ), T ), ! apply( Y, skol5( X, Y, Z, T, U ) ) = zero( U ),
% 168.53/168.99 exact( X, Y ) }.
% 168.53/168.99 (107294) {G0,W12,D2,L2,V6,M2} { ! alpha7( X, Y, Z, T, U, W ), alpha4( Y, T
% 168.53/168.99 , U, W ) }.
% 168.53/168.99 (107295) {G0,W11,D2,L2,V6,M2} { ! alpha7( X, Y, Z, T, U, W ), ! alpha2( X
% 168.53/168.99 , Z, W ) }.
% 168.53/168.99 (107296) {G0,W16,D2,L3,V6,M3} { ! alpha4( Y, T, U, W ), alpha2( X, Z, W )
% 168.53/168.99 , alpha7( X, Y, Z, T, U, W ) }.
% 168.53/168.99 (107297) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), element( T, Y ) }.
% 168.53/168.99 (107298) {G0,W11,D3,L2,V4,M2} { ! alpha4( X, Y, Z, T ), apply( X, T ) =
% 168.53/168.99 zero( Z ) }.
% 168.53/168.99 (107299) {G0,W14,D3,L3,V4,M3} { ! element( T, Y ), ! apply( X, T ) = zero
% 168.53/168.99 ( Z ), alpha4( X, Y, Z, T ) }.
% 168.53/168.99 (107300) {G0,W10,D3,L2,V5,M2} { ! alpha2( X, Y, Z ), element( skol6( T, Y
% 168.53/168.99 , U ), Y ) }.
% 168.53/168.99 (107301) {G0,W12,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), apply( X, skol6( X, Y
% 168.53/168.99 , Z ) ) = Z }.
% 168.53/168.99 (107302) {G0,W12,D3,L3,V4,M3} { ! element( T, Y ), ! apply( X, T ) = Z,
% 168.53/168.99 alpha2( X, Y, Z ) }.
% 168.53/168.99 (107303) {G0,W35,D4,L7,V9,M7} { ! commute( X, Y, Z, T ), ! morphism( X, U
% 168.53/168.99 , W ), ! morphism( Y, W, V0 ), ! morphism( Z, U, V1 ), ! morphism( T, V1
% 168.53/168.99 , V0 ), ! element( V2, U ), apply( Y, apply( X, V2 ) ) = apply( T, apply
% 168.53/168.99 ( Z, V2 ) ) }.
% 168.53/168.99 (107304) {G0,W29,D3,L6,V12,M6} { ! morphism( X, U, W ), ! morphism( Y, W,
% 168.53/168.99 V0 ), ! morphism( Z, U, V1 ), ! morphism( T, V1, V0 ), element( skol7( V2
% 168.53/168.99 , V3, V4, V5, U ), U ), commute( X, Y, Z, T ) }.
% 168.53/168.99 (107305) {G0,W42,D5,L6,V8,M6} { ! morphism( X, U, W ), ! morphism( Y, W,
% 168.53/168.99 V0 ), ! morphism( Z, U, V1 ), ! morphism( T, V1, V0 ), ! apply( Y, apply
% 168.53/168.99 ( X, skol7( X, Y, Z, T, U ) ) ) = apply( T, apply( Z, skol7( X, Y, Z, T,
% 168.53/168.99 U ) ) ), commute( X, Y, Z, T ) }.
% 168.53/168.99 (107306) {G0,W12,D3,L3,V3,M3} { ! element( Y, X ), ! element( Z, X ),
% 168.53/168.99 element( subtract( X, Y, Z ), X ) }.
% 168.53/168.99 (107307) {G0,W10,D3,L2,V2,M2} { ! element( Y, X ), subtract( X, Y, Y ) =
% 168.53/168.99 zero( X ) }.
% 168.53/168.99 (107308) {G0,W15,D4,L3,V3,M3} { ! element( Y, X ), ! element( Z, X ),
% 168.53/168.99 subtract( X, Y, subtract( X, Y, Z ) ) = Z }.
% 168.53/168.99 (107309) {G0,W25,D4,L4,V5,M4} { ! morphism( X, Y, Z ), ! element( T, Y ),
% 168.53/168.99 ! element( U, Y ), apply( X, subtract( Y, T, U ) ) = subtract( Z, apply(
% 168.53/168.99 X, T ), apply( X, U ) ) }.
% 168.53/168.99 (107310) {G0,W4,D2,L1,V0,M1} { morphism( alpha, a, b ) }.
% 168.53/168.99 (107311) {G0,W4,D2,L1,V0,M1} { morphism( beta, b, c ) }.
% 168.53/168.99 (107312) {G0,W4,D2,L1,V0,M1} { morphism( gamma, d, e ) }.
% 168.53/168.99 (107313) {G0,W4,D2,L1,V0,M1} { morphism( delta, e, r ) }.
% 168.53/168.99 (107314) {G0,W4,D2,L1,V0,M1} { morphism( f, a, d ) }.
% 168.53/168.99 (107315) {G0,W4,D2,L1,V0,M1} { morphism( g, b, e ) }.
% 168.53/168.99 (107316) {G0,W4,D2,L1,V0,M1} { morphism( h, c, r ) }.
% 168.53/168.99 (107317) {G0,W2,D2,L1,V0,M1} { injection( alpha ) }.
% 168.53/168.99 (107318) {G0,W2,D2,L1,V0,M1} { injection( gamma ) }.
% 168.53/168.99 (107319) {G0,W2,D2,L1,V0,M1} { surjection( beta ) }.
% 168.53/168.99 (107320) {G0,W2,D2,L1,V0,M1} { surjection( delta ) }.
% 168.53/168.99 (107321) {G0,W3,D2,L1,V0,M1} { exact( alpha, beta ) }.
% 168.53/168.99 (107322) {G0,W3,D2,L1,V0,M1} { exact( gammma, delta ) }.
% 168.53/168.99 (107323) {G0,W5,D2,L1,V0,M1} { commute( alpha, g, f, gamma ) }.
% 168.53/168.99 (107324) {G0,W5,D2,L1,V0,M1} { commute( beta, h, g, delta ) }.
% 168.53/168.99 (107325) {G0,W2,D2,L1,V0,M1} { surjection( f ) }.
% 168.53/168.99 (107326) {G0,W2,D2,L1,V0,M1} { surjection( h ) }.
% 168.53/168.99 (107327) {G0,W7,D3,L2,V2,M2} { ! element( X, e ), element( skol8( Y ), r )
% 168.53/168.99 }.
% 168.53/168.99 (107328) {G0,W6,D3,L2,V2,M2} { ! element( X, e ), alpha5( skol8( Y ) ) }.
% 168.53/168.99 (107329) {G0,W9,D3,L2,V1,M2} { ! element( X, e ), apply( delta, X ) =
% 168.53/168.99 skol8( X ) }.
% 168.53/168.99 (107330) {G0,W6,D3,L2,V2,M2} { ! alpha5( X ), element( skol9( Y ), b ) }.
% 168.53/168.99 (107331) {G0,W10,D5,L2,V1,M2} { ! alpha5( X ), apply( h, apply( beta,
% 168.53/168.99 skol9( X ) ) ) = X }.
% 168.53/168.99 (107332) {G0,W10,D5,L2,V1,M2} { ! alpha5( X ), apply( delta, apply( g,
% 168.53/168.99 skol9( X ) ) ) = X }.
% 168.53/168.99 (107333) {G0,W19,D4,L4,V2,M4} { ! element( Y, b ), ! apply( h, apply( beta
% 168.53/168.99 , Y ) ) = X, ! apply( delta, apply( g, Y ) ) = X, alpha5( X ) }.
% 168.53/168.99 (107334) {G0,W7,D3,L2,V2,M2} { ! element( X, e ), element( skol10( Y ), b
% 168.53/168.99 ) }.
% 168.53/168.99 (107335) {G0,W7,D3,L2,V1,M2} { ! element( X, e ), alpha8( X, skol10( X ) )
% 168.53/168.99 }.
% 168.53/168.99 (107336) {G0,W8,D3,L2,V4,M2} { ! alpha8( X, Y ), element( skol11( Z, T ),
% 168.53/168.99 e ) }.
% 168.53/168.99 (107337) {G0,W7,D3,L2,V4,M2} { ! alpha8( X, Y ), alpha6( skol11( Z, T ) )
% 168.53/168.99 }.
% 168.53/168.99 (107338) {G0,W13,D4,L2,V2,M2} { ! alpha8( X, Y ), subtract( e, apply( g, Y
% 168.53/168.99 ), X ) = skol11( X, Y ) }.
% 168.53/168.99 (107339) {G0,W16,D4,L4,V3,M4} { ! element( Z, e ), ! subtract( e, apply( g
% 168.53/168.99 , Y ), X ) = Z, ! alpha6( Z ), alpha8( X, Y ) }.
% 168.53/168.99 (107340) {G0,W6,D3,L2,V2,M2} { ! alpha6( X ), element( skol12( Y ), a )
% 168.53/168.99 }.
% 168.53/168.99 (107341) {G0,W10,D5,L2,V1,M2} { ! alpha6( X ), apply( gamma, apply( f,
% 168.53/168.99 skol12( X ) ) ) = X }.
% 168.53/168.99 (107342) {G0,W10,D5,L2,V1,M2} { ! alpha6( X ), apply( g, apply( alpha,
% 168.53/168.99 skol12( X ) ) ) = X }.
% 168.53/168.99 (107343) {G0,W19,D4,L4,V2,M4} { ! element( Y, a ), ! apply( gamma, apply(
% 168.53/168.99 f, Y ) ) = X, ! apply( g, apply( alpha, Y ) ) = X, alpha6( X ) }.
% 168.53/168.99 (107344) {G0,W7,D3,L2,V2,M2} { ! element( X, e ), element( skol13( Y ), b
% 168.53/168.99 ) }.
% 168.53/168.99 (107345) {G0,W7,D3,L2,V2,M2} { ! element( X, e ), element( skol15( Y ), b
% 168.53/168.99 ) }.
% 168.53/168.99 (107346) {G0,W13,D5,L2,V1,M2} { ! element( X, e ), apply( g, subtract( b,
% 168.53/168.99 skol13( X ), skol15( X ) ) ) = X }.
% 168.53/168.99 (107347) {G0,W2,D2,L1,V0,M1} { ! surjection( g ) }.
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Total Proof:
% 168.53/168.99
% 168.53/168.99 subsumption: (11) {G0,W12,D3,L3,V5,M3} I { ! morphism( X, Y, Z ), element(
% 168.53/168.99 skol3( T, U, Z ), Z ), surjection( X ) }.
% 168.53/168.99 parent0: (107284) {G0,W12,D3,L3,V5,M3} { ! morphism( X, Y, Z ), element(
% 168.53/168.99 skol3( T, U, Z ), Z ), surjection( X ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 U := U
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 2 ==> 2
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (12) {G0,W17,D3,L4,V4,M4} I { ! morphism( X, Y, Z ), ! element
% 168.53/168.99 ( T, Y ), ! apply( X, T ) = skol3( X, Y, Z ), surjection( X ) }.
% 168.53/168.99 parent0: (107285) {G0,W17,D3,L4,V4,M4} { ! morphism( X, Y, Z ), ! element
% 168.53/168.99 ( T, Y ), ! apply( X, T ) = skol3( X, Y, Z ), surjection( X ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 2 ==> 2
% 168.53/168.99 3 ==> 3
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (33) {G0,W12,D3,L3,V3,M3} I { ! element( Y, X ), ! element( Z
% 168.53/168.99 , X ), element( subtract( X, Y, Z ), X ) }.
% 168.53/168.99 parent0: (107306) {G0,W12,D3,L3,V3,M3} { ! element( Y, X ), ! element( Z,
% 168.53/168.99 X ), element( subtract( X, Y, Z ), X ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 2 ==> 2
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (42) {G0,W4,D2,L1,V0,M1} I { morphism( g, b, e ) }.
% 168.53/168.99 parent0: (107315) {G0,W4,D2,L1,V0,M1} { morphism( g, b, e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (71) {G0,W7,D3,L2,V2,M2} I { ! element( X, e ), element(
% 168.53/168.99 skol13( Y ), b ) }.
% 168.53/168.99 parent0: (107344) {G0,W7,D3,L2,V2,M2} { ! element( X, e ), element( skol13
% 168.53/168.99 ( Y ), b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (72) {G0,W7,D3,L2,V2,M2} I { ! element( X, e ), element(
% 168.53/168.99 skol15( Y ), b ) }.
% 168.53/168.99 parent0: (107345) {G0,W7,D3,L2,V2,M2} { ! element( X, e ), element( skol15
% 168.53/168.99 ( Y ), b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (73) {G0,W13,D5,L2,V1,M2} I { ! element( X, e ), apply( g,
% 168.53/168.99 subtract( b, skol13( X ), skol15( X ) ) ) ==> X }.
% 168.53/168.99 parent0: (107346) {G0,W13,D5,L2,V1,M2} { ! element( X, e ), apply( g,
% 168.53/168.99 subtract( b, skol13( X ), skol15( X ) ) ) = X }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (74) {G0,W2,D2,L1,V0,M1} I { ! surjection( g ) }.
% 168.53/168.99 parent0: (107347) {G0,W2,D2,L1,V0,M1} { ! surjection( g ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108016) {G1,W8,D3,L2,V2,M2} { element( skol3( X, Y, e ), e )
% 168.53/168.99 , surjection( g ) }.
% 168.53/168.99 parent0[0]: (11) {G0,W12,D3,L3,V5,M3} I { ! morphism( X, Y, Z ), element(
% 168.53/168.99 skol3( T, U, Z ), Z ), surjection( X ) }.
% 168.53/168.99 parent1[0]: (42) {G0,W4,D2,L1,V0,M1} I { morphism( g, b, e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := g
% 168.53/168.99 Y := b
% 168.53/168.99 Z := e
% 168.53/168.99 T := X
% 168.53/168.99 U := Y
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108017) {G1,W6,D3,L1,V2,M1} { element( skol3( X, Y, e ), e )
% 168.53/168.99 }.
% 168.53/168.99 parent0[0]: (74) {G0,W2,D2,L1,V0,M1} I { ! surjection( g ) }.
% 168.53/168.99 parent1[1]: (108016) {G1,W8,D3,L2,V2,M2} { element( skol3( X, Y, e ), e )
% 168.53/168.99 , surjection( g ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (430) {G1,W6,D3,L1,V2,M1} R(11,42);r(74) { element( skol3( X,
% 168.53/168.99 Y, e ), e ) }.
% 168.53/168.99 parent0: (108017) {G1,W6,D3,L1,V2,M1} { element( skol3( X, Y, e ), e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108018) {G1,W4,D3,L1,V1,M1} { element( skol13( Z ), b ) }.
% 168.53/168.99 parent0[0]: (71) {G0,W7,D3,L2,V2,M2} I { ! element( X, e ), element( skol13
% 168.53/168.99 ( Y ), b ) }.
% 168.53/168.99 parent1[0]: (430) {G1,W6,D3,L1,V2,M1} R(11,42);r(74) { element( skol3( X, Y
% 168.53/168.99 , e ), e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := skol3( X, Y, e )
% 168.53/168.99 Y := Z
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (444) {G2,W4,D3,L1,V1,M1} R(430,71) { element( skol13( X ), b
% 168.53/168.99 ) }.
% 168.53/168.99 parent0: (108018) {G1,W4,D3,L1,V1,M1} { element( skol13( Z ), b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := Y
% 168.53/168.99 Y := Z
% 168.53/168.99 Z := X
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108019) {G1,W4,D3,L1,V1,M1} { element( skol15( Z ), b ) }.
% 168.53/168.99 parent0[0]: (72) {G0,W7,D3,L2,V2,M2} I { ! element( X, e ), element( skol15
% 168.53/168.99 ( Y ), b ) }.
% 168.53/168.99 parent1[0]: (430) {G1,W6,D3,L1,V2,M1} R(11,42);r(74) { element( skol3( X, Y
% 168.53/168.99 , e ), e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := skol3( X, Y, e )
% 168.53/168.99 Y := Z
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (447) {G2,W4,D3,L1,V1,M1} R(430,72) { element( skol15( X ), b
% 168.53/168.99 ) }.
% 168.53/168.99 parent0: (108019) {G1,W4,D3,L1,V1,M1} { element( skol15( Z ), b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := Y
% 168.53/168.99 Y := Z
% 168.53/168.99 Z := X
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqswap: (108020) {G0,W17,D3,L4,V4,M4} { ! skol3( X, Z, T ) = apply( X, Y )
% 168.53/168.99 , ! morphism( X, Z, T ), ! element( Y, Z ), surjection( X ) }.
% 168.53/168.99 parent0[2]: (12) {G0,W17,D3,L4,V4,M4} I { ! morphism( X, Y, Z ), ! element
% 168.53/168.99 ( T, Y ), ! apply( X, T ) = skol3( X, Y, Z ), surjection( X ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Z
% 168.53/168.99 Z := T
% 168.53/168.99 T := Y
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108021) {G1,W13,D3,L3,V1,M3} { ! skol3( g, b, e ) = apply( g
% 168.53/168.99 , X ), ! element( X, b ), surjection( g ) }.
% 168.53/168.99 parent0[1]: (108020) {G0,W17,D3,L4,V4,M4} { ! skol3( X, Z, T ) = apply( X
% 168.53/168.99 , Y ), ! morphism( X, Z, T ), ! element( Y, Z ), surjection( X ) }.
% 168.53/168.99 parent1[0]: (42) {G0,W4,D2,L1,V0,M1} I { morphism( g, b, e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := g
% 168.53/168.99 Y := X
% 168.53/168.99 Z := b
% 168.53/168.99 T := e
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108022) {G1,W11,D3,L2,V1,M2} { ! skol3( g, b, e ) = apply( g
% 168.53/168.99 , X ), ! element( X, b ) }.
% 168.53/168.99 parent0[0]: (74) {G0,W2,D2,L1,V0,M1} I { ! surjection( g ) }.
% 168.53/168.99 parent1[2]: (108021) {G1,W13,D3,L3,V1,M3} { ! skol3( g, b, e ) = apply( g
% 168.53/168.99 , X ), ! element( X, b ), surjection( g ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := X
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqswap: (108023) {G1,W11,D3,L2,V1,M2} { ! apply( g, X ) = skol3( g, b, e )
% 168.53/168.99 , ! element( X, b ) }.
% 168.53/168.99 parent0[0]: (108022) {G1,W11,D3,L2,V1,M2} { ! skol3( g, b, e ) = apply( g
% 168.53/168.99 , X ), ! element( X, b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (473) {G1,W11,D3,L2,V1,M2} R(12,42);r(74) { ! element( X, b )
% 168.53/168.99 , ! apply( g, X ) = skol3( g, b, e ) }.
% 168.53/168.99 parent0: (108023) {G1,W11,D3,L2,V1,M2} { ! apply( g, X ) = skol3( g, b, e
% 168.53/168.99 ), ! element( X, b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 1
% 168.53/168.99 1 ==> 0
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108025) {G1,W10,D4,L2,V2,M2} { ! element( X, b ), element(
% 168.53/168.99 subtract( b, X, skol15( Y ) ), b ) }.
% 168.53/168.99 parent0[1]: (33) {G0,W12,D3,L3,V3,M3} I { ! element( Y, X ), ! element( Z,
% 168.53/168.99 X ), element( subtract( X, Y, Z ), X ) }.
% 168.53/168.99 parent1[0]: (447) {G2,W4,D3,L1,V1,M1} R(430,72) { element( skol15( X ), b )
% 168.53/168.99 }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := b
% 168.53/168.99 Y := X
% 168.53/168.99 Z := skol15( Y )
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := Y
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (1370) {G3,W10,D4,L2,V2,M2} R(33,447) { ! element( X, b ),
% 168.53/168.99 element( subtract( b, X, skol15( Y ) ), b ) }.
% 168.53/168.99 parent0: (108025) {G1,W10,D4,L2,V2,M2} { ! element( X, b ), element(
% 168.53/168.99 subtract( b, X, skol15( Y ) ), b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqswap: (108026) {G0,W13,D5,L2,V1,M2} { X ==> apply( g, subtract( b,
% 168.53/168.99 skol13( X ), skol15( X ) ) ), ! element( X, e ) }.
% 168.53/168.99 parent0[1]: (73) {G0,W13,D5,L2,V1,M2} I { ! element( X, e ), apply( g,
% 168.53/168.99 subtract( b, skol13( X ), skol15( X ) ) ) ==> X }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108027) {G1,W25,D6,L3,V4,M3} { skol3( X, Y, e ) ==> apply( g
% 168.53/168.99 , subtract( b, skol13( skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ) )
% 168.53/168.99 , ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent0[1]: (108026) {G0,W13,D5,L2,V1,M2} { X ==> apply( g, subtract( b,
% 168.53/168.99 skol13( X ), skol15( X ) ) ), ! element( X, e ) }.
% 168.53/168.99 parent1[1]: (11) {G0,W12,D3,L3,V5,M3} I { ! morphism( X, Y, Z ), element(
% 168.53/168.99 skol3( T, U, Z ), Z ), surjection( X ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := skol3( X, Y, e )
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := Z
% 168.53/168.99 Y := T
% 168.53/168.99 Z := e
% 168.53/168.99 T := X
% 168.53/168.99 U := Y
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqswap: (108028) {G1,W25,D6,L3,V4,M3} { apply( g, subtract( b, skol13(
% 168.53/168.99 skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ) ) ==> skol3( X, Y, e ),
% 168.53/168.99 ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent0[0]: (108027) {G1,W25,D6,L3,V4,M3} { skol3( X, Y, e ) ==> apply( g
% 168.53/168.99 , subtract( b, skol13( skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ) )
% 168.53/168.99 , ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (2044) {G1,W25,D6,L3,V4,M3} R(73,11) { apply( g, subtract( b,
% 168.53/168.99 skol13( skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ) ) ==> skol3( X,
% 168.53/168.99 Y, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent0: (108028) {G1,W25,D6,L3,V4,M3} { apply( g, subtract( b, skol13(
% 168.53/168.99 skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ) ) ==> skol3( X, Y, e ),
% 168.53/168.99 ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 2 ==> 2
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108029) {G3,W8,D4,L1,V2,M1} { element( subtract( b, skol13( X
% 168.53/168.99 ), skol15( Y ) ), b ) }.
% 168.53/168.99 parent0[0]: (1370) {G3,W10,D4,L2,V2,M2} R(33,447) { ! element( X, b ),
% 168.53/168.99 element( subtract( b, X, skol15( Y ) ), b ) }.
% 168.53/168.99 parent1[0]: (444) {G2,W4,D3,L1,V1,M1} R(430,71) { element( skol13( X ), b )
% 168.53/168.99 }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := skol13( X )
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := X
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (37864) {G4,W8,D4,L1,V2,M1} R(1370,444) { element( subtract( b
% 168.53/168.99 , skol13( X ), skol15( Y ) ), b ) }.
% 168.53/168.99 parent0: (108029) {G3,W8,D4,L1,V2,M1} { element( subtract( b, skol13( X )
% 168.53/168.99 , skol15( Y ) ), b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqswap: (108031) {G1,W11,D3,L2,V1,M2} { ! skol3( g, b, e ) = apply( g, X )
% 168.53/168.99 , ! element( X, b ) }.
% 168.53/168.99 parent0[1]: (473) {G1,W11,D3,L2,V1,M2} R(12,42);r(74) { ! element( X, b ),
% 168.53/168.99 ! apply( g, X ) = skol3( g, b, e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 paramod: (108032) {G2,W29,D5,L4,V4,M4} { ! skol3( g, b, e ) = skol3( X, Y
% 168.53/168.99 , e ), ! morphism( Z, T, e ), surjection( Z ), ! element( subtract( b,
% 168.53/168.99 skol13( skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ), b ) }.
% 168.53/168.99 parent0[0]: (2044) {G1,W25,D6,L3,V4,M3} R(73,11) { apply( g, subtract( b,
% 168.53/168.99 skol13( skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ) ) ==> skol3( X,
% 168.53/168.99 Y, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent1[0; 6]: (108031) {G1,W11,D3,L2,V1,M2} { ! skol3( g, b, e ) = apply
% 168.53/168.99 ( g, X ), ! element( X, b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := subtract( b, skol13( skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) )
% 168.53/168.99 )
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108033) {G3,W15,D3,L3,V4,M3} { ! skol3( g, b, e ) = skol3( X
% 168.53/168.99 , Y, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent0[3]: (108032) {G2,W29,D5,L4,V4,M4} { ! skol3( g, b, e ) = skol3( X
% 168.53/168.99 , Y, e ), ! morphism( Z, T, e ), surjection( Z ), ! element( subtract( b
% 168.53/168.99 , skol13( skol3( X, Y, e ) ), skol15( skol3( X, Y, e ) ) ), b ) }.
% 168.53/168.99 parent1[0]: (37864) {G4,W8,D4,L1,V2,M1} R(1370,444) { element( subtract( b
% 168.53/168.99 , skol13( X ), skol15( Y ) ), b ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 X := skol3( X, Y, e )
% 168.53/168.99 Y := skol3( X, Y, e )
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqswap: (108034) {G3,W15,D3,L3,V4,M3} { ! skol3( X, Y, e ) = skol3( g, b,
% 168.53/168.99 e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent0[0]: (108033) {G3,W15,D3,L3,V4,M3} { ! skol3( g, b, e ) = skol3( X
% 168.53/168.99 , Y, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (107249) {G5,W15,D3,L3,V4,M3} P(2044,473);r(37864) { ! skol3(
% 168.53/168.99 X, Y, e ) = skol3( g, b, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent0: (108034) {G3,W15,D3,L3,V4,M3} { ! skol3( X, Y, e ) = skol3( g, b
% 168.53/168.99 , e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 2 ==> 2
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqswap: (108035) {G5,W15,D3,L3,V4,M3} { ! skol3( g, b, e ) = skol3( X, Y,
% 168.53/168.99 e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 parent0[0]: (107249) {G5,W15,D3,L3,V4,M3} P(2044,473);r(37864) { ! skol3( X
% 168.53/168.99 , Y, e ) = skol3( g, b, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 Z := Z
% 168.53/168.99 T := T
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 eqrefl: (108036) {G0,W6,D2,L2,V2,M2} { ! morphism( X, Y, e ), surjection(
% 168.53/168.99 X ) }.
% 168.53/168.99 parent0[0]: (108035) {G5,W15,D3,L3,V4,M3} { ! skol3( g, b, e ) = skol3( X
% 168.53/168.99 , Y, e ), ! morphism( Z, T, e ), surjection( Z ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := g
% 168.53/168.99 Y := b
% 168.53/168.99 Z := X
% 168.53/168.99 T := Y
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (107250) {G6,W6,D2,L2,V2,M2} Q(107249) { ! morphism( X, Y, e )
% 168.53/168.99 , surjection( X ) }.
% 168.53/168.99 parent0: (108036) {G0,W6,D2,L2,V2,M2} { ! morphism( X, Y, e ), surjection
% 168.53/168.99 ( X ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := X
% 168.53/168.99 Y := Y
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 0 ==> 0
% 168.53/168.99 1 ==> 1
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108037) {G1,W2,D2,L1,V0,M1} { surjection( g ) }.
% 168.53/168.99 parent0[0]: (107250) {G6,W6,D2,L2,V2,M2} Q(107249) { ! morphism( X, Y, e )
% 168.53/168.99 , surjection( X ) }.
% 168.53/168.99 parent1[0]: (42) {G0,W4,D2,L1,V0,M1} I { morphism( g, b, e ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 X := g
% 168.53/168.99 Y := b
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 resolution: (108038) {G1,W0,D0,L0,V0,M0} { }.
% 168.53/168.99 parent0[0]: (74) {G0,W2,D2,L1,V0,M1} I { ! surjection( g ) }.
% 168.53/168.99 parent1[0]: (108037) {G1,W2,D2,L1,V0,M1} { surjection( g ) }.
% 168.53/168.99 substitution0:
% 168.53/168.99 end
% 168.53/168.99 substitution1:
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 subsumption: (107271) {G7,W0,D0,L0,V0,M0} R(107250,42);r(74) { }.
% 168.53/168.99 parent0: (108038) {G1,W0,D0,L0,V0,M0} { }.
% 168.53/168.99 substitution0:
% 168.53/168.99 end
% 168.53/168.99 permutation0:
% 168.53/168.99 end
% 168.53/168.99
% 168.53/168.99 Proof check complete!
% 168.53/168.99
% 168.53/168.99 Memory use:
% 168.53/168.99
% 168.53/168.99 space for terms: 1645003
% 168.53/168.99 space for clauses: 4873996
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 clauses generated: 4547684
% 168.53/168.99 clauses kept: 107272
% 168.53/168.99 clauses selected: 6847
% 168.53/168.99 clauses deleted: 8237
% 168.53/168.99 clauses inuse deleted: 185
% 168.53/168.99
% 168.53/168.99 subsentry: 3242778
% 168.53/168.99 literals s-matched: 2164253
% 168.53/168.99 literals matched: 1741539
% 168.53/168.99 full subsumption: 304135
% 168.53/168.99
% 168.53/168.99 checksum: -1123470918
% 168.53/168.99
% 168.53/168.99
% 168.53/168.99 Bliksem ended
%------------------------------------------------------------------------------