TSTP Solution File: SET793+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Mon Jul 18 22:52:04 EDT 2022
% Result : Theorem 0.77s 1.21s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jul 10 02:04:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.74/1.11 *** allocated 10000 integers for termspace/termends
% 0.74/1.11 *** allocated 10000 integers for clauses
% 0.74/1.11 *** allocated 10000 integers for justifications
% 0.74/1.11 Bliksem 1.12
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Automatic Strategy Selection
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Clauses:
% 0.74/1.11
% 0.74/1.11 { ! order( X, Y ), alpha1( X, Y ) }.
% 0.74/1.11 { ! order( X, Y ), alpha9( X, Y ) }.
% 0.74/1.11 { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X, Y ) }.
% 0.74/1.11 { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.74/1.11 { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.74/1.11 { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9( X, Y ) }.
% 0.74/1.11 { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.74/1.11 { alpha23( Y, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X,
% 0.74/1.11 Y ) }.
% 0.74/1.11 { ! alpha25( X, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X
% 0.74/1.11 , Y ) }.
% 0.74/1.11 { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.74/1.11 { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.74/1.11 { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.74/1.11 { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.74/1.11 { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.74/1.11 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.74/1.11 { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.74/1.11 { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T ) }.
% 0.74/1.11 { ! member( Y, X ), ! alpha21( X, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.74/1.11 { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.74/1.11 { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.74/1.11 { ! member( Y, X ), ! member( Z, X ), alpha21( X, Y, Z ) }.
% 0.74/1.11 { ! alpha15( X, Y ), ! alpha20( Y, Z, T ), alpha22( X, Z, T ) }.
% 0.74/1.11 { alpha20( Y, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.74/1.11 { ! alpha22( X, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.74/1.11 { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y = Z }.
% 0.74/1.11 { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.74/1.11 { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.74/1.11 { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.74/1.11 { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.74/1.11 { ! apply( X, Y, Z ), ! apply( X, Z, Y ), alpha24( X, Y, Z ) }.
% 0.74/1.11 { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.74/1.11 { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.74/1.11 { ! member( Y, X ), ! member( Z, X ), alpha20( X, Y, Z ) }.
% 0.74/1.11 { ! alpha1( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.74/1.11 { member( skol3( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.74/1.11 { ! apply( X, skol3( X, Y ), skol3( X, Y ) ), alpha1( X, Y ) }.
% 0.74/1.11 { ! total_order( X, Y ), order( X, Y ) }.
% 0.74/1.11 { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.74/1.11 { ! order( X, Y ), ! alpha2( X, Y ), total_order( X, Y ) }.
% 0.74/1.11 { ! alpha2( X, Y ), ! alpha10( Y, Z, T ), alpha16( X, Z, T ) }.
% 0.74/1.11 { alpha10( Y, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.74/1.11 { ! alpha16( X, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.74/1.11 { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.74/1.11 { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.74/1.11 { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.74/1.11 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.74/1.11 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.74/1.11 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.74/1.11 { ! upper_bound( Z, X, Y ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.74/1.11 { member( skol5( T, Y, U ), Y ), upper_bound( Z, X, Y ) }.
% 0.74/1.11 { ! apply( X, skol5( X, Y, Z ), Z ), upper_bound( Z, X, Y ) }.
% 0.74/1.11 { ! lower_bound( Z, X, Y ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.74/1.11 { member( skol6( T, Y, U ), Y ), lower_bound( Z, X, Y ) }.
% 0.74/1.11 { ! apply( X, Z, skol6( X, Y, Z ) ), lower_bound( Z, X, Y ) }.
% 0.74/1.11 { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.74/1.11 { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.74/1.11 { ! member( Z, Y ), ! alpha3( X, Y, Z ), greatest( Z, X, Y ) }.
% 0.74/1.11 { ! alpha3( X, Y, Z ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.74/1.11 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.74/1.11 { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X, Y, Z ) }.
% 0.74/1.11 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.74/1.11 { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.74/1.11 { ! member( Z, Y ), ! alpha4( X, Y, Z ), least( Z, X, Y ) }.
% 0.74/1.11 { ! alpha4( X, Y, Z ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.74/1.11 { member( skol8( T, Y, U ), Y ), alpha4( X, Y, Z ) }.
% 0.74/1.11 { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.74/1.11 { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.74/1.11 { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.74/1.11 { ! member( Z, Y ), ! alpha5( X, Y, Z ), max( Z, X, Y ) }.
% 0.74/1.11 { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T ), Z = T }.
% 0.74/1.11 { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z ) }.
% 0.74/1.11 { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.74/1.11 { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.77/1.21 { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.77/1.21 { ! member( T, Y ), ! apply( X, Z, T ), alpha11( X, Y, Z, T ) }.
% 0.77/1.21 { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.77/1.21 { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.77/1.21 { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z, X, Y ) }.
% 0.77/1.21 { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T ), Z = T }.
% 0.77/1.21 { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z ) }.
% 0.77/1.21 { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 0.77/1.21 { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.77/1.21 { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.77/1.21 { ! member( T, Y ), ! apply( X, T, Z ), alpha12( X, Y, Z, T ) }.
% 0.77/1.21 { ! least_upper_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.77/1.21 { ! least_upper_bound( X, Y, Z, T ), alpha7( X, Y, Z, T ) }.
% 0.77/1.21 { ! member( X, Y ), ! alpha7( X, Y, Z, T ), least_upper_bound( X, Y, Z, T )
% 0.77/1.21 }.
% 0.77/1.21 { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y ) }.
% 0.77/1.21 { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.77/1.21 { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z, T ), alpha7( X, Y, Z, T ) }
% 0.77/1.21 .
% 0.77/1.21 { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T, U ), apply( Z, X, U ) }.
% 0.77/1.21 { ! apply( Z, X, skol11( X, U, Z, W ) ), alpha13( X, Y, Z, T ) }.
% 0.77/1.21 { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ), alpha13( X, Y, Z, T ) }.
% 0.77/1.21 { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.77/1.21 { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X ) }.
% 0.77/1.21 { ! member( T, Z ), ! upper_bound( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 0.77/1.21 { ! greatest_lower_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.77/1.21 { ! greatest_lower_bound( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 0.77/1.21 { ! member( X, Y ), ! alpha8( X, Y, Z, T ), greatest_lower_bound( X, Y, Z,
% 0.77/1.21 T ) }.
% 0.77/1.21 { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y ) }.
% 0.77/1.21 { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T ) }.
% 0.77/1.21 { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z, T ), alpha8( X, Y, Z, T ) }
% 0.77/1.21 .
% 0.77/1.21 { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T, U ), apply( Z, U, X ) }.
% 0.77/1.21 { ! apply( Z, skol12( X, U, Z, W ), X ), alpha14( X, Y, Z, T ) }.
% 0.77/1.21 { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ), alpha14( X, Y, Z, T ) }.
% 0.77/1.21 { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.77/1.21 { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X ) }.
% 0.77/1.21 { ! member( T, Z ), ! lower_bound( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 0.77/1.21 { total_order( skol13, skol17 ) }.
% 0.77/1.21 { max( skol19, skol13, skol17 ) }.
% 0.77/1.21 { ! greatest( skol19, skol13, skol17 ) }.
% 0.77/1.21
% 0.77/1.21 percentage equality = 0.023529, percentage horn = 0.864865
% 0.77/1.21 This is a problem with some equality
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 Options Used:
% 0.77/1.21
% 0.77/1.21 useres = 1
% 0.77/1.21 useparamod = 1
% 0.77/1.21 useeqrefl = 1
% 0.77/1.21 useeqfact = 1
% 0.77/1.21 usefactor = 1
% 0.77/1.21 usesimpsplitting = 0
% 0.77/1.21 usesimpdemod = 5
% 0.77/1.21 usesimpres = 3
% 0.77/1.21
% 0.77/1.21 resimpinuse = 1000
% 0.77/1.21 resimpclauses = 20000
% 0.77/1.21 substype = eqrewr
% 0.77/1.21 backwardsubs = 1
% 0.77/1.21 selectoldest = 5
% 0.77/1.21
% 0.77/1.21 litorderings [0] = split
% 0.77/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.21
% 0.77/1.21 termordering = kbo
% 0.77/1.21
% 0.77/1.21 litapriori = 0
% 0.77/1.21 termapriori = 1
% 0.77/1.21 litaposteriori = 0
% 0.77/1.21 termaposteriori = 0
% 0.77/1.21 demodaposteriori = 0
% 0.77/1.21 ordereqreflfact = 0
% 0.77/1.21
% 0.77/1.21 litselect = negord
% 0.77/1.21
% 0.77/1.21 maxweight = 15
% 0.77/1.21 maxdepth = 30000
% 0.77/1.21 maxlength = 115
% 0.77/1.21 maxnrvars = 195
% 0.77/1.21 excuselevel = 1
% 0.77/1.21 increasemaxweight = 1
% 0.77/1.21
% 0.77/1.21 maxselected = 10000000
% 0.77/1.21 maxnrclauses = 10000000
% 0.77/1.21
% 0.77/1.21 showgenerated = 0
% 0.77/1.21 showkept = 0
% 0.77/1.21 showselected = 0
% 0.77/1.21 showdeleted = 0
% 0.77/1.21 showresimp = 1
% 0.77/1.21 showstatus = 2000
% 0.77/1.21
% 0.77/1.21 prologoutput = 0
% 0.77/1.21 nrgoals = 5000000
% 0.77/1.21 totalproof = 1
% 0.77/1.21
% 0.77/1.21 Symbols occurring in the translation:
% 0.77/1.21
% 0.77/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.21 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.77/1.21 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.77/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.21 order [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.77/1.21 member [39, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.77/1.21 apply [40, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.77/1.21 total_order [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.77/1.21 upper_bound [45, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.77/1.21 lower_bound [46, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.77/1.21 greatest [47, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.77/1.21 least [48, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.77/1.21 max [49, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.77/1.21 min [50, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.77/1.21 least_upper_bound [52, 4] (w:1, o:84, a:1, s:1, b:0),
% 0.77/1.21 greatest_lower_bound [53, 4] (w:1, o:85, a:1, s:1, b:0),
% 0.77/1.21 alpha1 [54, 2] (w:1, o:56, a:1, s:1, b:1),
% 0.77/1.21 alpha2 [55, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.77/1.21 alpha3 [56, 3] (w:1, o:72, a:1, s:1, b:1),
% 0.77/1.21 alpha4 [57, 3] (w:1, o:73, a:1, s:1, b:1),
% 0.77/1.21 alpha5 [58, 3] (w:1, o:74, a:1, s:1, b:1),
% 0.77/1.21 alpha6 [59, 3] (w:1, o:75, a:1, s:1, b:1),
% 0.77/1.21 alpha7 [60, 4] (w:1, o:86, a:1, s:1, b:1),
% 0.77/1.21 alpha8 [61, 4] (w:1, o:87, a:1, s:1, b:1),
% 0.77/1.21 alpha9 [62, 2] (w:1, o:60, a:1, s:1, b:1),
% 0.77/1.21 alpha10 [63, 3] (w:1, o:76, a:1, s:1, b:1),
% 0.77/1.21 alpha11 [64, 4] (w:1, o:88, a:1, s:1, b:1),
% 0.77/1.21 alpha12 [65, 4] (w:1, o:89, a:1, s:1, b:1),
% 0.77/1.21 alpha13 [66, 4] (w:1, o:90, a:1, s:1, b:1),
% 0.77/1.21 alpha14 [67, 4] (w:1, o:91, a:1, s:1, b:1),
% 0.77/1.21 alpha15 [68, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.77/1.21 alpha16 [69, 3] (w:1, o:77, a:1, s:1, b:1),
% 0.77/1.21 alpha17 [70, 4] (w:1, o:92, a:1, s:1, b:1),
% 0.77/1.21 alpha18 [71, 4] (w:1, o:93, a:1, s:1, b:1),
% 0.77/1.21 alpha19 [72, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.77/1.21 alpha20 [73, 3] (w:1, o:68, a:1, s:1, b:1),
% 0.77/1.21 alpha21 [74, 3] (w:1, o:69, a:1, s:1, b:1),
% 0.77/1.21 alpha22 [75, 3] (w:1, o:70, a:1, s:1, b:1),
% 0.77/1.21 alpha23 [76, 4] (w:1, o:94, a:1, s:1, b:1),
% 0.77/1.21 alpha24 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 0.77/1.21 alpha25 [78, 4] (w:1, o:95, a:1, s:1, b:1),
% 0.77/1.21 alpha26 [79, 4] (w:1, o:96, a:1, s:1, b:1),
% 0.77/1.21 skol1 [80, 2] (w:1, o:47, a:1, s:1, b:1),
% 0.77/1.21 skol2 [81, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.77/1.21 skol3 [82, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.77/1.21 skol4 [83, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.77/1.21 skol5 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 0.77/1.21 skol6 [85, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.77/1.21 skol7 [86, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.77/1.21 skol8 [87, 3] (w:1, o:81, a:1, s:1, b:1),
% 0.77/1.21 skol9 [88, 3] (w:1, o:82, a:1, s:1, b:1),
% 0.77/1.21 skol10 [89, 3] (w:1, o:83, a:1, s:1, b:1),
% 0.77/1.21 skol11 [90, 4] (w:1, o:97, a:1, s:1, b:1),
% 0.77/1.21 skol12 [91, 4] (w:1, o:98, a:1, s:1, b:1),
% 0.77/1.21 skol13 [92, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.77/1.21 skol14 [93, 2] (w:1, o:48, a:1, s:1, b:1),
% 0.77/1.21 skol15 [94, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.77/1.21 skol16 [95, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.77/1.21 skol17 [96, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.77/1.21 skol18 [97, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.77/1.21 skol19 [98, 0] (w:1, o:15, a:1, s:1, b:1).
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 Starting Search:
% 0.77/1.21
% 0.77/1.21 *** allocated 15000 integers for clauses
% 0.77/1.21 *** allocated 22500 integers for clauses
% 0.77/1.21 *** allocated 33750 integers for clauses
% 0.77/1.21 *** allocated 15000 integers for termspace/termends
% 0.77/1.21 *** allocated 50625 integers for clauses
% 0.77/1.21 Resimplifying inuse:
% 0.77/1.21 Done
% 0.77/1.21
% 0.77/1.21 *** allocated 75937 integers for clauses
% 0.77/1.21 *** allocated 22500 integers for termspace/termends
% 0.77/1.21 *** allocated 113905 integers for clauses
% 0.77/1.21 *** allocated 33750 integers for termspace/termends
% 0.77/1.21
% 0.77/1.21 Intermediate Status:
% 0.77/1.21 Generated: 4816
% 0.77/1.21 Kept: 2011
% 0.77/1.21 Inuse: 309
% 0.77/1.21 Deleted: 0
% 0.77/1.21 Deletedinuse: 0
% 0.77/1.21
% 0.77/1.21 Resimplifying inuse:
% 0.77/1.21 Done
% 0.77/1.21
% 0.77/1.21 *** allocated 170857 integers for clauses
% 0.77/1.21 *** allocated 50625 integers for termspace/termends
% 0.77/1.21
% 0.77/1.21 Bliksems!, er is een bewijs:
% 0.77/1.21 % SZS status Theorem
% 0.77/1.21 % SZS output start Refutation
% 0.77/1.21
% 0.77/1.21 (0) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha1( X, Y ) }.
% 0.77/1.21 (33) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! member( Z, Y ), apply( X
% 0.77/1.21 , Z, Z ) }.
% 0.77/1.21 (36) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), order( X, Y ) }.
% 0.77/1.21 (37) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.77/1.21 (39) {G0,W11,D2,L3,V4,M3} I { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 0.77/1.21 alpha16( X, Z, T ) }.
% 0.77/1.21 (42) {G0,W12,D2,L3,V3,M3} I { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply
% 0.77/1.21 ( X, Z, Y ) }.
% 0.77/1.21 (43) {G0,W8,D2,L2,V3,M2} I { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.77/1.21 (44) {G0,W8,D2,L2,V3,M2} I { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.77/1.21 (47) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X ), alpha10(
% 0.77/1.21 X, Y, Z ) }.
% 0.77/1.21 (56) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 0.77/1.21 greatest( Z, X, Y ) }.
% 0.77/1.21 (58) {G0,W10,D3,L2,V5,M2} I { member( skol7( T, Y, U ), Y ), alpha3( X, Y,
% 0.77/1.21 Z ) }.
% 0.77/1.21 (59) {G0,W11,D3,L2,V3,M2} I { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X
% 0.77/1.21 , Y, Z ) }.
% 0.77/1.21 (66) {G0,W7,D2,L2,V3,M2} I { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.77/1.21 (67) {G0,W8,D2,L2,V3,M2} I { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.77/1.21 (69) {G0,W12,D2,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T )
% 0.77/1.21 , Z = T }.
% 0.77/1.21 (74) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z, T ), alpha11
% 0.77/1.21 ( X, Y, Z, T ) }.
% 0.77/1.21 (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 ) }.
% 0.77/1.21 (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 ) }.
% 0.77/1.21 (110) {G0,W4,D2,L1,V0,M1} I { ! greatest( skol19, skol13, skol17 ) }.
% 0.77/1.21 (118) {G1,W3,D2,L1,V0,M1} R(37,108) { alpha2( skol13, skol17 ) }.
% 0.77/1.21 (120) {G1,W3,D2,L1,V0,M1} R(36,108) { order( skol13, skol17 ) }.
% 0.77/1.21 (121) {G2,W3,D2,L1,V0,M1} R(120,0) { alpha1( skol13, skol17 ) }.
% 0.77/1.21 (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 ) }.
% 0.77/1.21 (364) {G1,W4,D2,L1,V0,M1} R(67,109) { alpha5( skol13, skol17, skol19 ) }.
% 0.77/1.21 (593) {G2,W7,D2,L2,V1,M2} R(33,135) { ! alpha1( X, skol17 ), apply( X,
% 0.77/1.21 skol19, skol19 ) }.
% 0.77/1.21 (605) {G3,W4,D2,L1,V0,M1} R(593,121) { apply( skol13, skol19, skol19 ) }.
% 0.77/1.21 (765) {G2,W8,D2,L2,V2,M2} R(39,118) { ! alpha10( skol17, X, Y ), alpha16(
% 0.77/1.21 skol13, X, Y ) }.
% 0.77/1.21 (799) {G1,W8,D2,L2,V3,M2} R(42,43);r(44) { ! alpha16( X, Y, Z ), alpha16( X
% 0.77/1.21 , Z, Y ) }.
% 0.77/1.21 (818) {G3,W8,D2,L2,V2,M2} R(799,765) { alpha16( skol13, X, Y ), ! alpha10(
% 0.77/1.21 skol17, Y, X ) }.
% 0.77/1.21 (860) {G2,W7,D2,L2,V1,M2} R(47,135) { ! member( X, skol17 ), alpha10(
% 0.77/1.21 skol17, skol19, X ) }.
% 0.77/1.21 (866) {G4,W7,D2,L2,V1,M2} R(860,818) { ! member( X, skol17 ), alpha16(
% 0.77/1.21 skol13, X, skol19 ) }.
% 0.77/1.21 (1180) {G2,W4,D2,L1,V0,M1} R(56,110);r(135) { ! alpha3( skol13, skol17,
% 0.77/1.21 skol19 ) }.
% 0.77/1.21 (1232) {G3,W6,D3,L1,V2,M1} R(58,1180) { member( skol7( X, skol17, Y ),
% 0.77/1.21 skol17 ) }.
% 0.77/1.21 (1269) {G5,W7,D3,L1,V2,M1} R(1232,866) { alpha16( skol13, skol7( X, skol17
% 0.77/1.21 , Y ), skol19 ) }.
% 0.77/1.21 (1299) {G3,W7,D3,L1,V0,M1} R(59,1180) { ! apply( skol13, skol7( skol13,
% 0.77/1.21 skol17, skol19 ), skol19 ) }.
% 0.77/1.21 (1351) {G6,W7,D3,L1,V0,M1} R(1299,42);r(1269) { apply( skol13, skol19,
% 0.77/1.21 skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.21 (1545) {G2,W8,D2,L2,V1,M2} R(69,364) { ! alpha11( skol13, skol17, skol19, X
% 0.77/1.21 ), skol19 = X }.
% 0.77/1.21 (2679) {G4,W8,D3,L1,V0,M1} P(1545,1299);r(605) { ! alpha11( skol13, skol17
% 0.77/1.21 , skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.21 (2980) {G5,W7,D3,L1,V0,M1} R(2679,74);r(1232) { ! apply( skol13, skol19,
% 0.77/1.21 skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.21 (2981) {G7,W0,D0,L0,V0,M0} S(2980);r(1351) { }.
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 % SZS output end Refutation
% 0.77/1.21 found a proof!
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 Unprocessed initial clauses:
% 0.77/1.21
% 0.77/1.21 (2983) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 0.77/1.21 (2984) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.77/1.21 (2985) {G0,W9,D2,L3,V2,M3} { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X
% 0.77/1.21 , Y ) }.
% 0.77/1.21 (2986) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.77/1.21 (2987) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.77/1.21 (2988) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9
% 0.77/1.21 ( X, Y ) }.
% 0.77/1.21 (2989) {G0,W13,D2,L3,V5,M3} { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ),
% 0.77/1.21 alpha25( X, Z, T, U ) }.
% 0.77/1.21 (2990) {G0,W14,D3,L2,V2,M2} { alpha23( Y, skol1( X, Y ), skol14( X, Y ),
% 0.77/1.21 skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.77/1.21 (2991) {G0,W14,D3,L2,V2,M2} { ! alpha25( X, skol1( X, Y ), skol14( X, Y )
% 0.77/1.21 , skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.77/1.21 (2992) {G0,W14,D2,L3,V4,M3} { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z
% 0.77/1.21 , T ), apply( X, Y, T ) }.
% 0.77/1.21 (2993) {G0,W10,D2,L2,V4,M2} { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T )
% 0.77/1.21 }.
% 0.77/1.21 (2994) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.77/1.21 (2995) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.77/1.21 (2996) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.77/1.21 (2997) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 0.77/1.21 alpha26( X, Y, Z, T ) }.
% 0.77/1.21 (2998) {G0,W8,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.77/1.21 (2999) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T )
% 0.77/1.21 }.
% 0.77/1.21 (3000) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha21( X, Z, T ),
% 0.77/1.21 alpha23( X, Y, Z, T ) }.
% 0.77/1.21 (3001) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.77/1.21 (3002) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.77/1.21 (3003) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha21
% 0.77/1.21 ( X, Y, Z ) }.
% 0.77/1.21 (3004) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.77/1.21 alpha22( X, Z, T ) }.
% 0.77/1.21 (3005) {G0,W11,D3,L2,V2,M2} { alpha20( Y, skol2( X, Y ), skol15( X, Y ) )
% 0.77/1.21 , alpha15( X, Y ) }.
% 0.77/1.21 (3006) {G0,W11,D3,L2,V2,M2} { ! alpha22( X, skol2( X, Y ), skol15( X, Y )
% 0.77/1.21 ), alpha15( X, Y ) }.
% 0.77/1.21 (3007) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ),
% 0.77/1.21 Y = Z }.
% 0.77/1.21 (3008) {G0,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.77/1.21 (3009) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.77/1.21 (3010) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.77/1.21 (3011) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.77/1.21 (3012) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.77/1.21 alpha24( X, Y, Z ) }.
% 0.77/1.21 (3013) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.77/1.21 (3014) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.77/1.21 (3015) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha20
% 0.77/1.21 ( X, Y, Z ) }.
% 0.77/1.21 (3016) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y ), apply( X
% 0.77/1.21 , Z, Z ) }.
% 0.77/1.21 (3017) {G0,W8,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), alpha1( X, Y )
% 0.77/1.21 }.
% 0.77/1.21 (3018) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol3( X, Y ), skol3( X, Y ) ),
% 0.77/1.21 alpha1( X, Y ) }.
% 0.77/1.21 (3019) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y ) }.
% 0.77/1.21 (3020) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.77/1.21 (3021) {G0,W9,D2,L3,V2,M3} { ! order( X, Y ), ! alpha2( X, Y ),
% 0.77/1.21 total_order( X, Y ) }.
% 0.77/1.21 (3022) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 0.77/1.21 alpha16( X, Z, T ) }.
% 0.77/1.21 (3023) {G0,W11,D3,L2,V2,M2} { alpha10( Y, skol4( X, Y ), skol16( X, Y ) )
% 0.77/1.21 , alpha2( X, Y ) }.
% 0.77/1.21 (3024) {G0,W11,D3,L2,V2,M2} { ! alpha16( X, skol4( X, Y ), skol16( X, Y )
% 0.77/1.21 ), alpha2( X, Y ) }.
% 0.77/1.21 (3025) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y, Z ),
% 0.77/1.21 apply( X, Z, Y ) }.
% 0.77/1.21 (3026) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.77/1.21 (3027) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.77/1.21 (3028) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.77/1.21 (3029) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.77/1.21 (3030) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 0.77/1.21 ( X, Y, Z ) }.
% 0.77/1.21 (3031) {G0,W11,D2,L3,V4,M3} { ! upper_bound( Z, X, Y ), ! member( T, Y ),
% 0.77/1.21 apply( X, T, Z ) }.
% 0.77/1.21 (3032) {G0,W10,D3,L2,V5,M2} { member( skol5( T, Y, U ), Y ), upper_bound(
% 0.77/1.21 Z, X, Y ) }.
% 0.77/1.21 (3033) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol5( X, Y, Z ), Z ),
% 0.77/1.21 upper_bound( Z, X, Y ) }.
% 0.77/1.21 (3034) {G0,W11,D2,L3,V4,M3} { ! lower_bound( Z, X, Y ), ! member( T, Y ),
% 0.77/1.21 apply( X, Z, T ) }.
% 0.77/1.21 (3035) {G0,W10,D3,L2,V5,M2} { member( skol6( T, Y, U ), Y ), lower_bound(
% 0.77/1.21 Z, X, Y ) }.
% 0.77/1.21 (3036) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol6( X, Y, Z ) ),
% 0.77/1.21 lower_bound( Z, X, Y ) }.
% 0.77/1.21 (3037) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.77/1.21 (3038) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.77/1.21 (3039) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 0.77/1.21 greatest( Z, X, Y ) }.
% 0.77/1.21 (3040) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ), apply
% 0.77/1.21 ( X, T, Z ) }.
% 0.77/1.21 (3041) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 0.77/1.21 , Z ) }.
% 0.77/1.21 (3042) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X
% 0.77/1.21 , Y, Z ) }.
% 0.77/1.21 (3043) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.77/1.21 (3044) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.77/1.21 (3045) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z ), least
% 0.77/1.21 ( Z, X, Y ) }.
% 0.77/1.21 (3046) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 0.77/1.21 ( X, Z, T ) }.
% 0.77/1.21 (3047) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ), alpha4( X, Y
% 0.77/1.21 , Z ) }.
% 0.77/1.21 (3048) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X
% 0.77/1.21 , Y, Z ) }.
% 0.77/1.21 (3049) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.77/1.21 (3050) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.77/1.21 (3051) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha5( X, Y, Z ), max(
% 0.77/1.21 Z, X, Y ) }.
% 0.77/1.21 (3052) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T )
% 0.77/1.21 , Z = T }.
% 0.77/1.21 (3053) {G0,W10,D3,L2,V5,M2} { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z )
% 0.77/1.21 }.
% 0.77/1.21 (3054) {G0,W12,D3,L2,V3,M2} { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5
% 0.77/1.21 ( X, Y, Z ) }.
% 0.77/1.21 (3055) {G0,W8,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.77/1.21 (3056) {G0,W9,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.77/1.21 (3057) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 0.77/1.21 alpha11( X, Y, Z, T ) }.
% 0.77/1.21 (3058) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.77/1.21 (3059) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.77/1.21 (3060) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z ), min(
% 0.77/1.21 Z, X, Y ) }.
% 0.77/1.21 (3061) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T )
% 0.77/1.21 , Z = T }.
% 0.77/1.21 (3062) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z )
% 0.77/1.21 }.
% 0.77/1.21 (3063) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z ) ),
% 0.77/1.21 alpha6( X, Y, Z ) }.
% 0.77/1.21 (3064) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.77/1.21 (3065) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.77/1.21 (3066) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z ),
% 0.77/1.21 alpha12( X, Y, Z, T ) }.
% 0.77/1.21 (3067) {G0,W8,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), member( X
% 0.77/1.21 , Y ) }.
% 0.77/1.21 (3068) {G0,W10,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), alpha7( X
% 0.77/1.21 , Y, Z, T ) }.
% 0.77/1.21 (3069) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha7( X, Y, Z, T ),
% 0.77/1.21 least_upper_bound( X, Y, Z, T ) }.
% 0.77/1.21 (3070) {G0,W9,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y
% 0.77/1.21 ) }.
% 0.77/1.21 (3071) {G0,W10,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T
% 0.77/1.21 ) }.
% 0.77/1.21 (3072) {G0,W14,D2,L3,V4,M3} { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z
% 0.77/1.21 , T ), alpha7( X, Y, Z, T ) }.
% 0.77/1.21 (3073) {G0,W14,D2,L3,V5,M3} { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T
% 0.77/1.21 , U ), apply( Z, X, U ) }.
% 0.77/1.21 (3074) {G0,W13,D3,L2,V6,M2} { ! apply( Z, X, skol11( X, U, Z, W ) ),
% 0.77/1.21 alpha13( X, Y, Z, T ) }.
% 0.77/1.21 (3075) {G0,W14,D3,L2,V4,M2} { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ),
% 0.77/1.21 alpha13( X, Y, Z, T ) }.
% 0.77/1.21 (3076) {G0,W8,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.77/1.21 (3077) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X
% 0.77/1.21 ) }.
% 0.77/1.21 (3078) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! upper_bound( T, Y, X ),
% 0.77/1.21 alpha17( X, Y, Z, T ) }.
% 0.77/1.21 (3079) {G0,W8,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), member
% 0.77/1.21 ( X, Y ) }.
% 0.77/1.21 (3080) {G0,W10,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), alpha8
% 0.77/1.21 ( X, Y, Z, T ) }.
% 0.77/1.21 (3081) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha8( X, Y, Z, T ),
% 0.77/1.21 greatest_lower_bound( X, Y, Z, T ) }.
% 0.77/1.21 (3082) {G0,W9,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y
% 0.77/1.21 ) }.
% 0.77/1.21 (3083) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T
% 0.77/1.21 ) }.
% 0.77/1.21 (3084) {G0,W14,D2,L3,V4,M3} { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z
% 0.77/1.21 , T ), alpha8( X, Y, Z, T ) }.
% 0.77/1.21 (3085) {G0,W14,D2,L3,V5,M3} { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T
% 0.77/1.21 , U ), apply( Z, U, X ) }.
% 0.77/1.21 (3086) {G0,W13,D3,L2,V6,M2} { ! apply( Z, skol12( X, U, Z, W ), X ),
% 0.77/1.21 alpha14( X, Y, Z, T ) }.
% 0.77/1.21 (3087) {G0,W14,D3,L2,V4,M2} { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ),
% 0.77/1.21 alpha14( X, Y, Z, T ) }.
% 0.77/1.21 (3088) {G0,W8,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.77/1.21 (3089) {G0,W9,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X
% 0.77/1.21 ) }.
% 0.77/1.21 (3090) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! lower_bound( T, Y, X ),
% 0.77/1.21 alpha18( X, Y, Z, T ) }.
% 0.77/1.21 (3091) {G0,W3,D2,L1,V0,M1} { total_order( skol13, skol17 ) }.
% 0.77/1.21 (3092) {G0,W4,D2,L1,V0,M1} { max( skol19, skol13, skol17 ) }.
% 0.77/1.21 (3093) {G0,W4,D2,L1,V0,M1} { ! greatest( skol19, skol13, skol17 ) }.
% 0.77/1.21
% 0.77/1.21
% 0.77/1.21 Total Proof:
% 0.77/1.21
% 0.77/1.21 subsumption: (0) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha1( X, Y )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (2983) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (33) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! member( Z, Y
% 0.77/1.21 ), apply( X, Z, Z ) }.
% 0.77/1.21 parent0: (3016) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y )
% 0.77/1.21 , apply( X, Z, Z ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 2 ==> 2
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (36) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), order( X,
% 0.77/1.21 Y ) }.
% 0.77/1.21 parent0: (3019) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (37) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), alpha2( X
% 0.77/1.21 , Y ) }.
% 0.77/1.21 parent0: (3020) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y
% 0.77/1.21 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (39) {G0,W11,D2,L3,V4,M3} I { ! alpha2( X, Y ), ! alpha10( Y,
% 0.77/1.21 Z, T ), alpha16( X, Z, T ) }.
% 0.77/1.21 parent0: (3022) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z,
% 0.77/1.21 T ), alpha16( X, Z, T ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 T := T
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 2 ==> 2
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (42) {G0,W12,D2,L3,V3,M3} I { ! alpha16( X, Y, Z ), apply( X,
% 0.77/1.21 Y, Z ), apply( X, Z, Y ) }.
% 0.77/1.21 parent0: (3025) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y,
% 0.77/1.21 Z ), apply( X, Z, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 2 ==> 2
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (43) {G0,W8,D2,L2,V3,M2} I { ! apply( X, Y, Z ), alpha16( X, Y
% 0.77/1.21 , Z ) }.
% 0.77/1.21 parent0: (3026) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z
% 0.77/1.21 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (44) {G0,W8,D2,L2,V3,M2} I { ! apply( X, Z, Y ), alpha16( X, Y
% 0.77/1.21 , Z ) }.
% 0.77/1.21 parent0: (3027) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z
% 0.77/1.21 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (47) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.77/1.21 ), alpha10( X, Y, Z ) }.
% 0.77/1.21 parent0: (3030) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X )
% 0.77/1.21 , alpha10( X, Y, Z ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 2 ==> 2
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (56) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha3( X, Y
% 0.77/1.21 , Z ), greatest( Z, X, Y ) }.
% 0.77/1.21 parent0: (3039) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z
% 0.77/1.21 ), greatest( Z, X, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 2 ==> 2
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (58) {G0,W10,D3,L2,V5,M2} I { member( skol7( T, Y, U ), Y ),
% 0.77/1.21 alpha3( X, Y, Z ) }.
% 0.77/1.21 parent0: (3041) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ),
% 0.77/1.21 alpha3( X, Y, Z ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 T := T
% 0.77/1.21 U := U
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (59) {G0,W11,D3,L2,V3,M2} I { ! apply( X, skol7( X, Y, Z ), Z
% 0.77/1.21 ), alpha3( X, Y, Z ) }.
% 0.77/1.21 parent0: (3042) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ),
% 0.77/1.21 alpha3( X, Y, Z ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (66) {G0,W7,D2,L2,V3,M2} I { ! max( Z, X, Y ), member( Z, Y )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (3049) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (67) {G0,W8,D2,L2,V3,M2} I { ! max( Z, X, Y ), alpha5( X, Y, Z
% 0.77/1.21 ) }.
% 0.77/1.21 parent0: (3050) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (69) {G0,W12,D2,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! alpha11(
% 0.77/1.21 X, Y, Z, T ), Z = T }.
% 0.77/1.21 parent0: (3052) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X,
% 0.77/1.21 Y, Z, T ), Z = T }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 T := T
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 2 ==> 2
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (74) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z
% 0.77/1.21 , T ), alpha11( X, Y, Z, T ) }.
% 0.77/1.21 parent0: (3057) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T
% 0.77/1.21 ), alpha11( X, Y, Z, T ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 T := T
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 2 ==> 2
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (3091) {G0,W3,D2,L1,V0,M1} { total_order( skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (3092) {G0,W4,D2,L1,V0,M1} { max( skol19, skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (110) {G0,W4,D2,L1,V0,M1} I { ! greatest( skol19, skol13,
% 0.77/1.21 skol17 ) }.
% 0.77/1.21 parent0: (3093) {G0,W4,D2,L1,V0,M1} { ! greatest( skol19, skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3242) {G1,W3,D2,L1,V0,M1} { alpha2( skol13, skol17 ) }.
% 0.77/1.21 parent0[0]: (37) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), alpha2( X,
% 0.77/1.21 Y ) }.
% 0.77/1.21 parent1[0]: (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (118) {G1,W3,D2,L1,V0,M1} R(37,108) { alpha2( skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (3242) {G1,W3,D2,L1,V0,M1} { alpha2( skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3243) {G1,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.77/1.21 parent0[0]: (36) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), order( X, Y
% 0.77/1.21 ) }.
% 0.77/1.21 parent1[0]: (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (120) {G1,W3,D2,L1,V0,M1} R(36,108) { order( skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (3243) {G1,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3244) {G1,W3,D2,L1,V0,M1} { alpha1( skol13, skol17 ) }.
% 0.77/1.21 parent0[0]: (0) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha1( X, Y ) }.
% 0.77/1.21 parent1[0]: (120) {G1,W3,D2,L1,V0,M1} R(36,108) { order( skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (121) {G2,W3,D2,L1,V0,M1} R(120,0) { alpha1( skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (3244) {G1,W3,D2,L1,V0,M1} { alpha1( skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3245) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.77/1.21 parent0[0]: (66) {G0,W7,D2,L2,V3,M2} I { ! max( Z, X, Y ), member( Z, Y )
% 0.77/1.21 }.
% 0.77/1.21 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 Z := skol19
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 parent0: (3245) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3246) {G1,W4,D2,L1,V0,M1} { alpha5( skol13, skol17, skol19 )
% 0.77/1.21 }.
% 0.77/1.21 parent0[0]: (67) {G0,W8,D2,L2,V3,M2} I { ! max( Z, X, Y ), alpha5( X, Y, Z
% 0.77/1.21 ) }.
% 0.77/1.21 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 Z := skol19
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (364) {G1,W4,D2,L1,V0,M1} R(67,109) { alpha5( skol13, skol17,
% 0.77/1.21 skol19 ) }.
% 0.77/1.21 parent0: (3246) {G1,W4,D2,L1,V0,M1} { alpha5( skol13, skol17, skol19 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3247) {G1,W7,D2,L2,V1,M2} { ! alpha1( X, skol17 ), apply( X,
% 0.77/1.21 skol19, skol19 ) }.
% 0.77/1.21 parent0[1]: (33) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! member( Z, Y
% 0.77/1.21 ), apply( X, Z, Z ) }.
% 0.77/1.21 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := skol17
% 0.77/1.21 Z := skol19
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (593) {G2,W7,D2,L2,V1,M2} R(33,135) { ! alpha1( X, skol17 ),
% 0.77/1.21 apply( X, skol19, skol19 ) }.
% 0.77/1.21 parent0: (3247) {G1,W7,D2,L2,V1,M2} { ! alpha1( X, skol17 ), apply( X,
% 0.77/1.21 skol19, skol19 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3248) {G3,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol19 )
% 0.77/1.21 }.
% 0.77/1.21 parent0[0]: (593) {G2,W7,D2,L2,V1,M2} R(33,135) { ! alpha1( X, skol17 ),
% 0.77/1.21 apply( X, skol19, skol19 ) }.
% 0.77/1.21 parent1[0]: (121) {G2,W3,D2,L1,V0,M1} R(120,0) { alpha1( skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (605) {G3,W4,D2,L1,V0,M1} R(593,121) { apply( skol13, skol19,
% 0.77/1.21 skol19 ) }.
% 0.77/1.21 parent0: (3248) {G3,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol19 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3249) {G1,W8,D2,L2,V2,M2} { ! alpha10( skol17, X, Y ),
% 0.77/1.21 alpha16( skol13, X, Y ) }.
% 0.77/1.21 parent0[0]: (39) {G0,W11,D2,L3,V4,M3} I { ! alpha2( X, Y ), ! alpha10( Y, Z
% 0.77/1.21 , T ), alpha16( X, Z, T ) }.
% 0.77/1.21 parent1[0]: (118) {G1,W3,D2,L1,V0,M1} R(37,108) { alpha2( skol13, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 Z := X
% 0.77/1.21 T := Y
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (765) {G2,W8,D2,L2,V2,M2} R(39,118) { ! alpha10( skol17, X, Y
% 0.77/1.21 ), alpha16( skol13, X, Y ) }.
% 0.77/1.21 parent0: (3249) {G1,W8,D2,L2,V2,M2} { ! alpha10( skol17, X, Y ), alpha16(
% 0.77/1.21 skol13, X, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3256) {G1,W12,D2,L3,V3,M3} { alpha16( X, Y, Z ), ! alpha16( X
% 0.77/1.21 , Z, Y ), apply( X, Z, Y ) }.
% 0.77/1.21 parent0[0]: (43) {G0,W8,D2,L2,V3,M2} I { ! apply( X, Y, Z ), alpha16( X, Y
% 0.77/1.21 , Z ) }.
% 0.77/1.21 parent1[2]: (42) {G0,W12,D2,L3,V3,M3} I { ! alpha16( X, Y, Z ), apply( X, Y
% 0.77/1.21 , Z ), apply( X, Z, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 Z := Z
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Z
% 0.77/1.21 Z := Y
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3261) {G1,W12,D2,L3,V3,M3} { alpha16( X, Z, Y ), alpha16( X,
% 0.77/1.21 Z, Y ), ! alpha16( X, Y, Z ) }.
% 0.77/1.21 parent0[0]: (44) {G0,W8,D2,L2,V3,M2} I { ! apply( X, Z, Y ), alpha16( X, Y
% 0.77/1.21 , Z ) }.
% 0.77/1.21 parent1[2]: (3256) {G1,W12,D2,L3,V3,M3} { alpha16( X, Y, Z ), ! alpha16( X
% 0.77/1.21 , Z, Y ), apply( X, Z, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Z
% 0.77/1.21 Z := Y
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Z
% 0.77/1.21 Z := Y
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 factor: (3262) {G1,W8,D2,L2,V3,M2} { alpha16( X, Y, Z ), ! alpha16( X, Z,
% 0.77/1.21 Y ) }.
% 0.77/1.21 parent0[0, 1]: (3261) {G1,W12,D2,L3,V3,M3} { alpha16( X, Z, Y ), alpha16(
% 0.77/1.21 X, Z, Y ), ! alpha16( X, Y, Z ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Z
% 0.77/1.21 Z := Y
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (799) {G1,W8,D2,L2,V3,M2} R(42,43);r(44) { ! alpha16( X, Y, Z
% 0.77/1.21 ), alpha16( X, Z, Y ) }.
% 0.77/1.21 parent0: (3262) {G1,W8,D2,L2,V3,M2} { alpha16( X, Y, Z ), ! alpha16( X, Z
% 0.77/1.21 , Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Z
% 0.77/1.21 Z := Y
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 1
% 0.77/1.21 1 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3263) {G2,W8,D2,L2,V2,M2} { alpha16( skol13, Y, X ), !
% 0.77/1.21 alpha10( skol17, X, Y ) }.
% 0.77/1.21 parent0[0]: (799) {G1,W8,D2,L2,V3,M2} R(42,43);r(44) { ! alpha16( X, Y, Z )
% 0.77/1.21 , alpha16( X, Z, Y ) }.
% 0.77/1.21 parent1[1]: (765) {G2,W8,D2,L2,V2,M2} R(39,118) { ! alpha10( skol17, X, Y )
% 0.77/1.21 , alpha16( skol13, X, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := X
% 0.77/1.21 Z := Y
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (818) {G3,W8,D2,L2,V2,M2} R(799,765) { alpha16( skol13, X, Y )
% 0.77/1.21 , ! alpha10( skol17, Y, X ) }.
% 0.77/1.21 parent0: (3263) {G2,W8,D2,L2,V2,M2} { alpha16( skol13, Y, X ), ! alpha10(
% 0.77/1.21 skol17, X, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := Y
% 0.77/1.21 Y := X
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3264) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha10(
% 0.77/1.21 skol17, skol19, X ) }.
% 0.77/1.21 parent0[0]: (47) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.77/1.21 ), alpha10( X, Y, Z ) }.
% 0.77/1.21 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol17
% 0.77/1.21 Y := skol19
% 0.77/1.21 Z := X
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (860) {G2,W7,D2,L2,V1,M2} R(47,135) { ! member( X, skol17 ),
% 0.77/1.21 alpha10( skol17, skol19, X ) }.
% 0.77/1.21 parent0: (3264) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha10(
% 0.77/1.21 skol17, skol19, X ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 1 ==> 1
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3266) {G3,W7,D2,L2,V1,M2} { alpha16( skol13, X, skol19 ), !
% 0.77/1.21 member( X, skol17 ) }.
% 0.77/1.21 parent0[1]: (818) {G3,W8,D2,L2,V2,M2} R(799,765) { alpha16( skol13, X, Y )
% 0.77/1.21 , ! alpha10( skol17, Y, X ) }.
% 0.77/1.21 parent1[1]: (860) {G2,W7,D2,L2,V1,M2} R(47,135) { ! member( X, skol17 ),
% 0.77/1.21 alpha10( skol17, skol19, X ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := skol19
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := X
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (866) {G4,W7,D2,L2,V1,M2} R(860,818) { ! member( X, skol17 ),
% 0.77/1.21 alpha16( skol13, X, skol19 ) }.
% 0.77/1.21 parent0: (3266) {G3,W7,D2,L2,V1,M2} { alpha16( skol13, X, skol19 ), !
% 0.77/1.21 member( X, skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 1
% 0.77/1.21 1 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3267) {G1,W7,D2,L2,V0,M2} { ! member( skol19, skol17 ), !
% 0.77/1.21 alpha3( skol13, skol17, skol19 ) }.
% 0.77/1.21 parent0[0]: (110) {G0,W4,D2,L1,V0,M1} I { ! greatest( skol19, skol13,
% 0.77/1.21 skol17 ) }.
% 0.77/1.21 parent1[2]: (56) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha3( X, Y
% 0.77/1.21 , Z ), greatest( Z, X, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 Z := skol19
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3268) {G2,W4,D2,L1,V0,M1} { ! alpha3( skol13, skol17, skol19
% 0.77/1.21 ) }.
% 0.77/1.21 parent0[0]: (3267) {G1,W7,D2,L2,V0,M2} { ! member( skol19, skol17 ), !
% 0.77/1.21 alpha3( skol13, skol17, skol19 ) }.
% 0.77/1.21 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (1180) {G2,W4,D2,L1,V0,M1} R(56,110);r(135) { ! alpha3( skol13
% 0.77/1.21 , skol17, skol19 ) }.
% 0.77/1.21 parent0: (3268) {G2,W4,D2,L1,V0,M1} { ! alpha3( skol13, skol17, skol19 )
% 0.77/1.21 }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3269) {G1,W6,D3,L1,V2,M1} { member( skol7( X, skol17, Y ),
% 0.77/1.21 skol17 ) }.
% 0.77/1.21 parent0[0]: (1180) {G2,W4,D2,L1,V0,M1} R(56,110);r(135) { ! alpha3( skol13
% 0.77/1.21 , skol17, skol19 ) }.
% 0.77/1.21 parent1[1]: (58) {G0,W10,D3,L2,V5,M2} I { member( skol7( T, Y, U ), Y ),
% 0.77/1.21 alpha3( X, Y, Z ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 Z := skol19
% 0.77/1.21 T := X
% 0.77/1.21 U := Y
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (1232) {G3,W6,D3,L1,V2,M1} R(58,1180) { member( skol7( X,
% 0.77/1.21 skol17, Y ), skol17 ) }.
% 0.77/1.21 parent0: (3269) {G1,W6,D3,L1,V2,M1} { member( skol7( X, skol17, Y ),
% 0.77/1.21 skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3270) {G4,W7,D3,L1,V2,M1} { alpha16( skol13, skol7( X, skol17
% 0.77/1.21 , Y ), skol19 ) }.
% 0.77/1.21 parent0[0]: (866) {G4,W7,D2,L2,V1,M2} R(860,818) { ! member( X, skol17 ),
% 0.77/1.21 alpha16( skol13, X, skol19 ) }.
% 0.77/1.21 parent1[0]: (1232) {G3,W6,D3,L1,V2,M1} R(58,1180) { member( skol7( X,
% 0.77/1.21 skol17, Y ), skol17 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := skol7( X, skol17, Y )
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (1269) {G5,W7,D3,L1,V2,M1} R(1232,866) { alpha16( skol13,
% 0.77/1.21 skol7( X, skol17, Y ), skol19 ) }.
% 0.77/1.21 parent0: (3270) {G4,W7,D3,L1,V2,M1} { alpha16( skol13, skol7( X, skol17, Y
% 0.77/1.21 ), skol19 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 X := X
% 0.77/1.21 Y := Y
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3271) {G1,W7,D3,L1,V0,M1} { ! apply( skol13, skol7( skol13,
% 0.77/1.21 skol17, skol19 ), skol19 ) }.
% 0.77/1.21 parent0[0]: (1180) {G2,W4,D2,L1,V0,M1} R(56,110);r(135) { ! alpha3( skol13
% 0.77/1.21 , skol17, skol19 ) }.
% 0.77/1.21 parent1[1]: (59) {G0,W11,D3,L2,V3,M2} I { ! apply( X, skol7( X, Y, Z ), Z )
% 0.77/1.21 , alpha3( X, Y, Z ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol17
% 0.77/1.21 Z := skol19
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 subsumption: (1299) {G3,W7,D3,L1,V0,M1} R(59,1180) { ! apply( skol13, skol7
% 0.77/1.21 ( skol13, skol17, skol19 ), skol19 ) }.
% 0.77/1.21 parent0: (3271) {G1,W7,D3,L1,V0,M1} { ! apply( skol13, skol7( skol13,
% 0.77/1.21 skol17, skol19 ), skol19 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 permutation0:
% 0.77/1.21 0 ==> 0
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3272) {G1,W14,D3,L2,V0,M2} { ! alpha16( skol13, skol7( skol13
% 0.77/1.21 , skol17, skol19 ), skol19 ), apply( skol13, skol19, skol7( skol13,
% 0.77/1.21 skol17, skol19 ) ) }.
% 0.77/1.21 parent0[0]: (1299) {G3,W7,D3,L1,V0,M1} R(59,1180) { ! apply( skol13, skol7
% 0.77/1.21 ( skol13, skol17, skol19 ), skol19 ) }.
% 0.77/1.21 parent1[1]: (42) {G0,W12,D2,L3,V3,M3} I { ! alpha16( X, Y, Z ), apply( X, Y
% 0.77/1.21 , Z ), apply( X, Z, Y ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := skol13
% 0.77/1.21 Y := skol7( skol13, skol17, skol19 )
% 0.77/1.21 Z := skol19
% 0.77/1.21 end
% 0.77/1.21
% 0.77/1.21 resolution: (3274) {G2,W7,D3,L1,V0,M1} { apply( skol13, skol19, skol7(
% 0.77/1.21 skol13, skol17, skol19 ) ) }.
% 0.77/1.21 parent0[0]: (3272) {G1,W14,D3,L2,V0,M2} { ! alpha16( skol13, skol7( skol13
% 0.77/1.21 , skol17, skol19 ), skol19 ), apply( skol13, skol19, skol7( skol13,
% 0.77/1.21 skol17, skol19 ) ) }.
% 0.77/1.21 parent1[0]: (1269) {G5,W7,D3,L1,V2,M1} R(1232,866) { alpha16( skol13, skol7
% 0.77/1.21 ( X, skol17, Y ), skol19 ) }.
% 0.77/1.21 substitution0:
% 0.77/1.21 end
% 0.77/1.21 substitution1:
% 0.77/1.21 X := skol13
% 0.77/1.22 Y := skol19
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 subsumption: (1351) {G6,W7,D3,L1,V0,M1} R(1299,42);r(1269) { apply( skol13
% 0.77/1.22 , skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent0: (3274) {G2,W7,D3,L1,V0,M1} { apply( skol13, skol19, skol7( skol13
% 0.77/1.22 , skol17, skol19 ) ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 permutation0:
% 0.77/1.22 0 ==> 0
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 eqswap: (3275) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha5( Z, T, X ), !
% 0.77/1.22 alpha11( Z, T, X, Y ) }.
% 0.77/1.22 parent0[2]: (69) {G0,W12,D2,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! alpha11( X
% 0.77/1.22 , Y, Z, T ), Z = T }.
% 0.77/1.22 substitution0:
% 0.77/1.22 X := Z
% 0.77/1.22 Y := T
% 0.77/1.22 Z := X
% 0.77/1.22 T := Y
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 resolution: (3276) {G1,W8,D2,L2,V1,M2} { X = skol19, ! alpha11( skol13,
% 0.77/1.22 skol17, skol19, X ) }.
% 0.77/1.22 parent0[1]: (3275) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha5( Z, T, X ), !
% 0.77/1.22 alpha11( Z, T, X, Y ) }.
% 0.77/1.22 parent1[0]: (364) {G1,W4,D2,L1,V0,M1} R(67,109) { alpha5( skol13, skol17,
% 0.77/1.22 skol19 ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 X := skol19
% 0.77/1.22 Y := X
% 0.77/1.22 Z := skol13
% 0.77/1.22 T := skol17
% 0.77/1.22 end
% 0.77/1.22 substitution1:
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 eqswap: (3277) {G1,W8,D2,L2,V1,M2} { skol19 = X, ! alpha11( skol13, skol17
% 0.77/1.22 , skol19, X ) }.
% 0.77/1.22 parent0[0]: (3276) {G1,W8,D2,L2,V1,M2} { X = skol19, ! alpha11( skol13,
% 0.77/1.22 skol17, skol19, X ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 X := X
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 subsumption: (1545) {G2,W8,D2,L2,V1,M2} R(69,364) { ! alpha11( skol13,
% 0.77/1.22 skol17, skol19, X ), skol19 = X }.
% 0.77/1.22 parent0: (3277) {G1,W8,D2,L2,V1,M2} { skol19 = X, ! alpha11( skol13,
% 0.77/1.22 skol17, skol19, X ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 X := X
% 0.77/1.22 end
% 0.77/1.22 permutation0:
% 0.77/1.22 0 ==> 1
% 0.77/1.22 1 ==> 0
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 *** allocated 75937 integers for termspace/termends
% 0.77/1.22 eqswap: (3278) {G2,W8,D2,L2,V1,M2} { X = skol19, ! alpha11( skol13, skol17
% 0.77/1.22 , skol19, X ) }.
% 0.77/1.22 parent0[1]: (1545) {G2,W8,D2,L2,V1,M2} R(69,364) { ! alpha11( skol13,
% 0.77/1.22 skol17, skol19, X ), skol19 = X }.
% 0.77/1.22 substitution0:
% 0.77/1.22 X := X
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 paramod: (3281) {G3,W12,D3,L2,V0,M2} { ! apply( skol13, skol19, skol19 ),
% 0.77/1.22 ! alpha11( skol13, skol17, skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent0[0]: (3278) {G2,W8,D2,L2,V1,M2} { X = skol19, ! alpha11( skol13,
% 0.77/1.22 skol17, skol19, X ) }.
% 0.77/1.22 parent1[0; 3]: (1299) {G3,W7,D3,L1,V0,M1} R(59,1180) { ! apply( skol13,
% 0.77/1.22 skol7( skol13, skol17, skol19 ), skol19 ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 X := skol7( skol13, skol17, skol19 )
% 0.77/1.22 end
% 0.77/1.22 substitution1:
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 resolution: (3759) {G4,W8,D3,L1,V0,M1} { ! alpha11( skol13, skol17, skol19
% 0.77/1.22 , skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent0[0]: (3281) {G3,W12,D3,L2,V0,M2} { ! apply( skol13, skol19, skol19
% 0.77/1.22 ), ! alpha11( skol13, skol17, skol19, skol7( skol13, skol17, skol19 ) )
% 0.77/1.22 }.
% 0.77/1.22 parent1[0]: (605) {G3,W4,D2,L1,V0,M1} R(593,121) { apply( skol13, skol19,
% 0.77/1.22 skol19 ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 substitution1:
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 subsumption: (2679) {G4,W8,D3,L1,V0,M1} P(1545,1299);r(605) { ! alpha11(
% 0.77/1.22 skol13, skol17, skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent0: (3759) {G4,W8,D3,L1,V0,M1} { ! alpha11( skol13, skol17, skol19,
% 0.77/1.22 skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 permutation0:
% 0.77/1.22 0 ==> 0
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 resolution: (3760) {G1,W13,D3,L2,V0,M2} { ! member( skol7( skol13, skol17
% 0.77/1.22 , skol19 ), skol17 ), ! apply( skol13, skol19, skol7( skol13, skol17,
% 0.77/1.22 skol19 ) ) }.
% 0.77/1.22 parent0[0]: (2679) {G4,W8,D3,L1,V0,M1} P(1545,1299);r(605) { ! alpha11(
% 0.77/1.22 skol13, skol17, skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent1[2]: (74) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z,
% 0.77/1.22 T ), alpha11( X, Y, Z, T ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 substitution1:
% 0.77/1.22 X := skol13
% 0.77/1.22 Y := skol17
% 0.77/1.22 Z := skol19
% 0.77/1.22 T := skol7( skol13, skol17, skol19 )
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 resolution: (3761) {G2,W7,D3,L1,V0,M1} { ! apply( skol13, skol19, skol7(
% 0.77/1.22 skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent0[0]: (3760) {G1,W13,D3,L2,V0,M2} { ! member( skol7( skol13, skol17
% 0.77/1.22 , skol19 ), skol17 ), ! apply( skol13, skol19, skol7( skol13, skol17,
% 0.77/1.22 skol19 ) ) }.
% 0.77/1.22 parent1[0]: (1232) {G3,W6,D3,L1,V2,M1} R(58,1180) { member( skol7( X,
% 0.77/1.22 skol17, Y ), skol17 ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 substitution1:
% 0.77/1.22 X := skol13
% 0.77/1.22 Y := skol19
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 subsumption: (2980) {G5,W7,D3,L1,V0,M1} R(2679,74);r(1232) { ! apply(
% 0.77/1.22 skol13, skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent0: (3761) {G2,W7,D3,L1,V0,M1} { ! apply( skol13, skol19, skol7(
% 0.77/1.22 skol13, skol17, skol19 ) ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 permutation0:
% 0.77/1.22 0 ==> 0
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 resolution: (3762) {G6,W0,D0,L0,V0,M0} { }.
% 0.77/1.22 parent0[0]: (2980) {G5,W7,D3,L1,V0,M1} R(2679,74);r(1232) { ! apply( skol13
% 0.77/1.22 , skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 parent1[0]: (1351) {G6,W7,D3,L1,V0,M1} R(1299,42);r(1269) { apply( skol13,
% 0.77/1.22 skol19, skol7( skol13, skol17, skol19 ) ) }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 substitution1:
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 subsumption: (2981) {G7,W0,D0,L0,V0,M0} S(2980);r(1351) { }.
% 0.77/1.22 parent0: (3762) {G6,W0,D0,L0,V0,M0} { }.
% 0.77/1.22 substitution0:
% 0.77/1.22 end
% 0.77/1.22 permutation0:
% 0.77/1.22 end
% 0.77/1.22
% 0.77/1.22 Proof check complete!
% 0.77/1.22
% 0.77/1.22 Memory use:
% 0.77/1.22
% 0.77/1.22 space for terms: 41136
% 0.77/1.22 space for clauses: 142655
% 0.77/1.22
% 0.77/1.22
% 0.77/1.22 clauses generated: 9848
% 0.77/1.22 clauses kept: 2982
% 0.77/1.22 clauses selected: 483
% 0.77/1.22 clauses deleted: 1
% 0.77/1.22 clauses inuse deleted: 0
% 0.77/1.22
% 0.77/1.22 subsentry: 21997
% 0.77/1.22 literals s-matched: 16411
% 0.77/1.22 literals matched: 13227
% 0.77/1.22 full subsumption: 132
% 0.77/1.22
% 0.77/1.22 checksum: -1745506580
% 0.77/1.22
% 0.77/1.22
% 0.77/1.22 Bliksem ended
%------------------------------------------------------------------------------