TSTP Solution File: SET790+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 22:52:03 EDT 2022
% Result : Theorem 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 10 08:52:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08
% 0.72/1.08 { ! order( X, Y ), alpha1( X, Y ) }.
% 0.72/1.08 { ! order( X, Y ), alpha9( X, Y ) }.
% 0.72/1.08 { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X, Y ) }.
% 0.72/1.08 { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.72/1.08 { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.72/1.08 { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9( X, Y ) }.
% 0.72/1.08 { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.72/1.08 { alpha23( Y, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X,
% 0.72/1.08 Y ) }.
% 0.72/1.08 { ! alpha25( X, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X
% 0.72/1.08 , Y ) }.
% 0.72/1.08 { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.72/1.08 { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.08 { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.72/1.08 { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.72/1.08 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.72/1.08 { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T ) }.
% 0.72/1.08 { ! member( Y, X ), ! alpha21( X, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.72/1.08 { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.72/1.08 { ! member( Y, X ), ! member( Z, X ), alpha21( X, Y, Z ) }.
% 0.72/1.08 { ! alpha15( X, Y ), ! alpha20( Y, Z, T ), alpha22( X, Z, T ) }.
% 0.72/1.08 { alpha20( Y, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.72/1.08 { ! alpha22( X, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.72/1.08 { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y = Z }.
% 0.72/1.08 { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.72/1.08 { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.72/1.08 { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.72/1.08 { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.72/1.08 { ! apply( X, Y, Z ), ! apply( X, Z, Y ), alpha24( X, Y, Z ) }.
% 0.72/1.08 { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.72/1.08 { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.72/1.08 { ! member( Y, X ), ! member( Z, X ), alpha20( X, Y, Z ) }.
% 0.72/1.08 { ! alpha1( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.72/1.08 { member( skol3( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.72/1.08 { ! apply( X, skol3( X, Y ), skol3( X, Y ) ), alpha1( X, Y ) }.
% 0.72/1.08 { ! total_order( X, Y ), order( X, Y ) }.
% 0.72/1.08 { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.72/1.08 { ! order( X, Y ), ! alpha2( X, Y ), total_order( X, Y ) }.
% 0.72/1.08 { ! alpha2( X, Y ), ! alpha10( Y, Z, T ), alpha16( X, Z, T ) }.
% 0.72/1.08 { alpha10( Y, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.72/1.08 { ! alpha16( X, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.72/1.08 { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.72/1.08 { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.72/1.08 { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.72/1.08 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.72/1.08 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.72/1.08 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.72/1.08 { ! upper_bound( Z, X, Y ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.72/1.08 { member( skol5( T, Y, U ), Y ), upper_bound( Z, X, Y ) }.
% 0.72/1.08 { ! apply( X, skol5( X, Y, Z ), Z ), upper_bound( Z, X, Y ) }.
% 0.72/1.08 { ! lower_bound( Z, X, Y ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.72/1.08 { member( skol6( T, Y, U ), Y ), lower_bound( Z, X, Y ) }.
% 0.72/1.08 { ! apply( X, Z, skol6( X, Y, Z ) ), lower_bound( Z, X, Y ) }.
% 0.72/1.08 { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.08 { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.72/1.08 { ! member( Z, Y ), ! alpha3( X, Y, Z ), greatest( Z, X, Y ) }.
% 0.72/1.08 { ! alpha3( X, Y, Z ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.72/1.08 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.72/1.08 { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X, Y, Z ) }.
% 0.72/1.08 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.08 { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.72/1.08 { ! member( Z, Y ), ! alpha4( X, Y, Z ), least( Z, X, Y ) }.
% 0.72/1.08 { ! alpha4( X, Y, Z ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.72/1.08 { member( skol8( T, Y, U ), Y ), alpha4( X, Y, Z ) }.
% 0.72/1.08 { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.72/1.08 { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.08 { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.72/1.08 { ! member( Z, Y ), ! alpha5( X, Y, Z ), max( Z, X, Y ) }.
% 0.72/1.08 { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T ), Z = T }.
% 0.72/1.08 { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z ) }.
% 0.72/1.08 { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.72/1.08 { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.72/1.10 { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.72/1.10 { ! member( T, Y ), ! apply( X, Z, T ), alpha11( X, Y, Z, T ) }.
% 0.72/1.10 { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.10 { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.72/1.10 { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z, X, Y ) }.
% 0.72/1.10 { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T ), Z = T }.
% 0.72/1.10 { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z ) }.
% 0.72/1.10 { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 0.72/1.10 { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.72/1.10 { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.72/1.10 { ! member( T, Y ), ! apply( X, T, Z ), alpha12( X, Y, Z, T ) }.
% 0.72/1.10 { ! least_upper_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.72/1.10 { ! least_upper_bound( X, Y, Z, T ), alpha7( X, Y, Z, T ) }.
% 0.72/1.10 { ! member( X, Y ), ! alpha7( X, Y, Z, T ), least_upper_bound( X, Y, Z, T )
% 0.72/1.10 }.
% 0.72/1.10 { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y ) }.
% 0.72/1.10 { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.72/1.10 { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z, T ), alpha7( X, Y, Z, T ) }
% 0.72/1.10 .
% 0.72/1.10 { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T, U ), apply( Z, X, U ) }.
% 0.72/1.10 { ! apply( Z, X, skol11( X, U, Z, W ) ), alpha13( X, Y, Z, T ) }.
% 0.72/1.10 { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ), alpha13( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.72/1.10 { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X ) }.
% 0.72/1.10 { ! member( T, Z ), ! upper_bound( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 0.72/1.10 { ! greatest_lower_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.72/1.10 { ! greatest_lower_bound( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 0.72/1.10 { ! member( X, Y ), ! alpha8( X, Y, Z, T ), greatest_lower_bound( X, Y, Z,
% 0.72/1.10 T ) }.
% 0.72/1.10 { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y ) }.
% 0.72/1.10 { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T ) }.
% 0.72/1.10 { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z, T ), alpha8( X, Y, Z, T ) }
% 0.72/1.10 .
% 0.72/1.10 { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T, U ), apply( Z, U, X ) }.
% 0.72/1.10 { ! apply( Z, skol12( X, U, Z, W ), X ), alpha14( X, Y, Z, T ) }.
% 0.72/1.10 { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ), alpha14( X, Y, Z, T ) }.
% 0.72/1.10 { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.72/1.10 { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X ) }.
% 0.72/1.10 { ! member( T, Z ), ! lower_bound( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 0.72/1.10 { order( skol13, skol17 ) }.
% 0.72/1.10 { least( skol19, skol13, skol17 ) }.
% 0.72/1.10 { least( skol20, skol13, skol17 ) }.
% 0.72/1.10 { ! skol19 = skol20 }.
% 0.72/1.10
% 0.72/1.10 percentage equality = 0.027344, percentage horn = 0.866071
% 0.72/1.10 This is a problem with some equality
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 1
% 0.72/1.10 useeqrefl = 1
% 0.72/1.10 useeqfact = 1
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 5
% 0.72/1.10 usesimpres = 3
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = eqrewr
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.10
% 0.72/1.10 termordering = kbo
% 0.72/1.10
% 0.72/1.10 litapriori = 0
% 0.72/1.10 termapriori = 1
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = negord
% 0.72/1.10
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 1
% 0.72/1.10 increasemaxweight = 1
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 0
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 order [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.10 member [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.10 apply [40, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.10 total_order [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.10 upper_bound [45, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.10 lower_bound [46, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.10 greatest [47, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.10 least [48, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.10 max [49, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.72/1.10 min [50, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.72/1.10 least_upper_bound [52, 4] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.10 greatest_lower_bound [53, 4] (w:1, o:86, a:1, s:1, b:0),
% 0.72/1.10 alpha1 [54, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.72/1.10 alpha2 [55, 2] (w:1, o:60, a:1, s:1, b:1),
% 0.72/1.10 alpha3 [56, 3] (w:1, o:73, a:1, s:1, b:1),
% 0.72/1.10 alpha4 [57, 3] (w:1, o:74, a:1, s:1, b:1),
% 0.72/1.10 alpha5 [58, 3] (w:1, o:75, a:1, s:1, b:1),
% 0.72/1.10 alpha6 [59, 3] (w:1, o:76, a:1, s:1, b:1),
% 0.72/1.10 alpha7 [60, 4] (w:1, o:87, a:1, s:1, b:1),
% 0.72/1.10 alpha8 [61, 4] (w:1, o:88, a:1, s:1, b:1),
% 0.72/1.10 alpha9 [62, 2] (w:1, o:61, a:1, s:1, b:1),
% 0.72/1.10 alpha10 [63, 3] (w:1, o:77, a:1, s:1, b:1),
% 0.72/1.10 alpha11 [64, 4] (w:1, o:89, a:1, s:1, b:1),
% 0.72/1.10 alpha12 [65, 4] (w:1, o:90, a:1, s:1, b:1),
% 0.72/1.10 alpha13 [66, 4] (w:1, o:91, a:1, s:1, b:1),
% 0.72/1.10 alpha14 [67, 4] (w:1, o:92, a:1, s:1, b:1),
% 0.72/1.10 alpha15 [68, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.72/1.10 alpha16 [69, 3] (w:1, o:78, a:1, s:1, b:1),
% 0.72/1.10 alpha17 [70, 4] (w:1, o:93, a:1, s:1, b:1),
% 0.72/1.10 alpha18 [71, 4] (w:1, o:94, a:1, s:1, b:1),
% 0.72/1.10 alpha19 [72, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.72/1.10 alpha20 [73, 3] (w:1, o:69, a:1, s:1, b:1),
% 0.72/1.10 alpha21 [74, 3] (w:1, o:70, a:1, s:1, b:1),
% 0.72/1.10 alpha22 [75, 3] (w:1, o:71, a:1, s:1, b:1),
% 0.72/1.10 alpha23 [76, 4] (w:1, o:95, a:1, s:1, b:1),
% 0.72/1.10 alpha24 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 0.72/1.10 alpha25 [78, 4] (w:1, o:96, a:1, s:1, b:1),
% 0.72/1.10 alpha26 [79, 4] (w:1, o:97, a:1, s:1, b:1),
% 0.72/1.10 skol1 [80, 2] (w:1, o:48, a:1, s:1, b:1),
% 0.72/1.10 skol2 [81, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.72/1.10 skol3 [82, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.72/1.10 skol4 [83, 2] (w:1, o:55, a:1, s:1, b:1),
% 0.72/1.10 skol5 [84, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.72/1.10 skol6 [85, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.72/1.10 skol7 [86, 3] (w:1, o:81, a:1, s:1, b:1),
% 0.72/1.10 skol8 [87, 3] (w:1, o:82, a:1, s:1, b:1),
% 0.72/1.10 skol9 [88, 3] (w:1, o:83, a:1, s:1, b:1),
% 0.72/1.10 skol10 [89, 3] (w:1, o:84, a:1, s:1, b:1),
% 0.72/1.10 skol11 [90, 4] (w:1, o:98, a:1, s:1, b:1),
% 0.72/1.10 skol12 [91, 4] (w:1, o:99, a:1, s:1, b:1),
% 0.72/1.10 skol13 [92, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.72/1.10 skol14 [93, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.72/1.10 skol15 [94, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.72/1.10 skol16 [95, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.72/1.10 skol17 [96, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.72/1.10 skol18 [97, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.72/1.10 skol19 [98, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.72/1.10 skol20 [99, 0] (w:1, o:16, a:1, s:1, b:1).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10 *** allocated 15000 integers for clauses
% 0.72/1.10 *** allocated 22500 integers for clauses
% 0.72/1.10 *** allocated 33750 integers for clauses
% 0.72/1.10 *** allocated 15000 integers for termspace/termends
% 0.72/1.10 *** allocated 50625 integers for clauses
% 0.72/1.10 Resimplifying inuse:
% 0.72/1.10 Done
% 0.72/1.10
% 0.72/1.10 *** allocated 22500 integers for termspace/termends
% 0.72/1.10 *** allocated 75937 integers for clauses
% 0.72/1.10 *** allocated 113905 integers for clauses
% 0.72/1.10 *** allocated 33750 integers for termspace/termends
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Theorem
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y ) }.
% 0.72/1.10 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.72/1.10 (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.72/1.10 alpha22( X, Z, T ) }.
% 0.72/1.10 (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y
% 0.72/1.10 = Z }.
% 0.72/1.10 (27) {G0,W8,D2,L2,V3,M2} I { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.72/1.10 (28) {G0,W8,D2,L2,V3,M2} I { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.72/1.10 (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.72/1.10 alpha24( X, Y, Z ) }.
% 0.72/1.10 (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X ), alpha20(
% 0.72/1.10 X, Y, Z ) }.
% 0.72/1.10 (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.10 (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.72/1.10 (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 0.72/1.10 ( X, Z, T ) }.
% 0.72/1.10 (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.72/1.10 (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 ) }.
% 0.72/1.10 (110) {G0,W4,D2,L1,V0,M1} I { least( skol20, skol13, skol17 ) }.
% 0.72/1.10 (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 0.72/1.10 (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 ) }.
% 0.72/1.10 (127) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 ) }.
% 0.72/1.10 (134) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 ) }.
% 0.72/1.10 (135) {G1,W3,D2,L1,V0,M1} R(60,110) { member( skol20, skol17 ) }.
% 0.72/1.10 (456) {G1,W4,D2,L1,V0,M1} R(61,109) { alpha4( skol13, skol17, skol19 ) }.
% 0.72/1.10 (457) {G1,W4,D2,L1,V0,M1} R(61,110) { alpha4( skol13, skol17, skol20 ) }.
% 0.72/1.10 (483) {G1,W8,D2,L2,V3,M2} R(29,28);r(27) { alpha24( X, Z, Y ), ! alpha24( X
% 0.72/1.10 , Y, Z ) }.
% 0.72/1.10 (529) {G2,W7,D2,L2,V1,M2} R(32,135) { ! member( X, skol17 ), alpha20(
% 0.72/1.10 skol17, X, skol20 ) }.
% 0.72/1.10 (1131) {G3,W4,D2,L1,V0,M1} R(529,134) { alpha20( skol17, skol19, skol20 )
% 0.72/1.10 }.
% 0.72/1.10 (1137) {G4,W7,D2,L2,V1,M2} R(1131,21) { ! alpha15( X, skol17 ), alpha22( X
% 0.72/1.10 , skol19, skol20 ) }.
% 0.72/1.10 (1143) {G5,W4,D2,L1,V0,M1} R(1137,127) { alpha22( skol13, skol19, skol20 )
% 0.72/1.10 }.
% 0.72/1.10 (1177) {G6,W7,D2,L2,V0,M2} R(1143,24) { ! alpha24( skol13, skol19, skol20 )
% 0.72/1.10 , skol20 ==> skol19 }.
% 0.72/1.10 (1264) {G7,W4,D2,L1,V0,M1} S(1177);r(111) { ! alpha24( skol13, skol19,
% 0.72/1.10 skol20 ) }.
% 0.72/1.10 (1265) {G8,W4,D2,L1,V0,M1} R(1264,483) { ! alpha24( skol13, skol20, skol19
% 0.72/1.10 ) }.
% 0.72/1.10 (1488) {G2,W7,D2,L2,V1,M2} R(63,457) { ! member( X, skol17 ), apply( skol13
% 0.72/1.10 , skol20, X ) }.
% 0.72/1.10 (1543) {G3,W4,D2,L1,V0,M1} R(1488,134) { apply( skol13, skol20, skol19 )
% 0.72/1.10 }.
% 0.72/1.10 (1554) {G9,W4,D2,L1,V0,M1} R(1543,29);r(1265) { ! apply( skol13, skol19,
% 0.72/1.10 skol20 ) }.
% 0.72/1.10 (1565) {G10,W7,D2,L2,V1,M2} R(1554,63) { ! alpha4( skol13, X, skol19 ), !
% 0.72/1.10 member( skol20, X ) }.
% 0.72/1.10 (1713) {G11,W0,D0,L0,V0,M0} R(1565,456);r(135) { }.
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Unprocessed initial clauses:
% 0.72/1.10
% 0.72/1.10 (1715) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 0.72/1.10 (1716) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.72/1.10 (1717) {G0,W9,D2,L3,V2,M3} { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X
% 0.72/1.10 , Y ) }.
% 0.72/1.10 (1718) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.72/1.10 (1719) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.72/1.10 (1720) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9
% 0.72/1.10 ( X, Y ) }.
% 0.72/1.10 (1721) {G0,W13,D2,L3,V5,M3} { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ),
% 0.72/1.10 alpha25( X, Z, T, U ) }.
% 0.72/1.10 (1722) {G0,W14,D3,L2,V2,M2} { alpha23( Y, skol1( X, Y ), skol14( X, Y ),
% 0.72/1.10 skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.72/1.10 (1723) {G0,W14,D3,L2,V2,M2} { ! alpha25( X, skol1( X, Y ), skol14( X, Y )
% 0.72/1.10 , skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.72/1.10 (1724) {G0,W14,D2,L3,V4,M3} { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z
% 0.72/1.10 , T ), apply( X, Y, T ) }.
% 0.72/1.10 (1725) {G0,W10,D2,L2,V4,M2} { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T )
% 0.72/1.10 }.
% 0.72/1.10 (1726) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.10 (1727) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.72/1.10 (1728) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.72/1.10 (1729) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 0.72/1.10 alpha26( X, Y, Z, T ) }.
% 0.72/1.10 (1730) {G0,W8,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.72/1.10 (1731) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T )
% 0.72/1.10 }.
% 0.72/1.10 (1732) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha21( X, Z, T ),
% 0.72/1.11 alpha23( X, Y, Z, T ) }.
% 0.72/1.11 (1733) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.72/1.11 (1734) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.72/1.11 (1735) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha21
% 0.72/1.11 ( X, Y, Z ) }.
% 0.72/1.11 (1736) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.72/1.11 alpha22( X, Z, T ) }.
% 0.72/1.11 (1737) {G0,W11,D3,L2,V2,M2} { alpha20( Y, skol2( X, Y ), skol15( X, Y ) )
% 0.72/1.11 , alpha15( X, Y ) }.
% 0.72/1.11 (1738) {G0,W11,D3,L2,V2,M2} { ! alpha22( X, skol2( X, Y ), skol15( X, Y )
% 0.72/1.11 ), alpha15( X, Y ) }.
% 0.72/1.11 (1739) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ),
% 0.72/1.11 Y = Z }.
% 0.72/1.11 (1740) {G0,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.72/1.11 (1741) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.72/1.11 (1742) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.72/1.11 (1743) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.72/1.11 (1744) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.72/1.11 alpha24( X, Y, Z ) }.
% 0.72/1.11 (1745) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.72/1.11 (1746) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.72/1.11 (1747) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha20
% 0.72/1.11 ( X, Y, Z ) }.
% 0.72/1.11 (1748) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y ), apply( X
% 0.72/1.11 , Z, Z ) }.
% 0.72/1.11 (1749) {G0,W8,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), alpha1( X, Y )
% 0.72/1.11 }.
% 0.72/1.11 (1750) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol3( X, Y ), skol3( X, Y ) ),
% 0.72/1.11 alpha1( X, Y ) }.
% 0.72/1.11 (1751) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y ) }.
% 0.72/1.11 (1752) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.72/1.11 (1753) {G0,W9,D2,L3,V2,M3} { ! order( X, Y ), ! alpha2( X, Y ),
% 0.72/1.11 total_order( X, Y ) }.
% 0.72/1.11 (1754) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 0.72/1.11 alpha16( X, Z, T ) }.
% 0.72/1.11 (1755) {G0,W11,D3,L2,V2,M2} { alpha10( Y, skol4( X, Y ), skol16( X, Y ) )
% 0.72/1.11 , alpha2( X, Y ) }.
% 0.72/1.11 (1756) {G0,W11,D3,L2,V2,M2} { ! alpha16( X, skol4( X, Y ), skol16( X, Y )
% 0.72/1.11 ), alpha2( X, Y ) }.
% 0.72/1.11 (1757) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y, Z ),
% 0.72/1.11 apply( X, Z, Y ) }.
% 0.72/1.11 (1758) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.72/1.11 (1759) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.72/1.11 (1760) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.72/1.11 (1761) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.72/1.11 (1762) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 0.72/1.11 ( X, Y, Z ) }.
% 0.72/1.11 (1763) {G0,W11,D2,L3,V4,M3} { ! upper_bound( Z, X, Y ), ! member( T, Y ),
% 0.72/1.11 apply( X, T, Z ) }.
% 0.72/1.11 (1764) {G0,W10,D3,L2,V5,M2} { member( skol5( T, Y, U ), Y ), upper_bound(
% 0.72/1.11 Z, X, Y ) }.
% 0.72/1.11 (1765) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol5( X, Y, Z ), Z ),
% 0.72/1.11 upper_bound( Z, X, Y ) }.
% 0.72/1.11 (1766) {G0,W11,D2,L3,V4,M3} { ! lower_bound( Z, X, Y ), ! member( T, Y ),
% 0.72/1.11 apply( X, Z, T ) }.
% 0.72/1.11 (1767) {G0,W10,D3,L2,V5,M2} { member( skol6( T, Y, U ), Y ), lower_bound(
% 0.72/1.11 Z, X, Y ) }.
% 0.72/1.11 (1768) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol6( X, Y, Z ) ),
% 0.72/1.11 lower_bound( Z, X, Y ) }.
% 0.72/1.11 (1769) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.11 (1770) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.72/1.11 (1771) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 0.72/1.11 greatest( Z, X, Y ) }.
% 0.72/1.11 (1772) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ), apply
% 0.72/1.11 ( X, T, Z ) }.
% 0.72/1.11 (1773) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 0.72/1.11 , Z ) }.
% 0.72/1.11 (1774) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X
% 0.72/1.11 , Y, Z ) }.
% 0.72/1.11 (1775) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.11 (1776) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.72/1.11 (1777) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z ), least
% 0.72/1.11 ( Z, X, Y ) }.
% 0.72/1.11 (1778) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 0.72/1.11 ( X, Z, T ) }.
% 0.72/1.11 (1779) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ), alpha4( X, Y
% 0.72/1.11 , Z ) }.
% 0.72/1.11 (1780) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X
% 0.72/1.11 , Y, Z ) }.
% 0.72/1.11 (1781) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.11 (1782) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.72/1.11 (1783) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha5( X, Y, Z ), max(
% 0.72/1.11 Z, X, Y ) }.
% 0.72/1.11 (1784) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T )
% 0.72/1.11 , Z = T }.
% 0.72/1.11 (1785) {G0,W10,D3,L2,V5,M2} { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z )
% 0.72/1.11 }.
% 0.72/1.11 (1786) {G0,W12,D3,L2,V3,M2} { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5
% 0.72/1.11 ( X, Y, Z ) }.
% 0.72/1.11 (1787) {G0,W8,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.72/1.11 (1788) {G0,W9,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.72/1.11 (1789) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 0.72/1.11 alpha11( X, Y, Z, T ) }.
% 0.72/1.11 (1790) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.72/1.11 (1791) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.72/1.11 (1792) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z ), min(
% 0.72/1.11 Z, X, Y ) }.
% 0.72/1.11 (1793) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T )
% 0.72/1.11 , Z = T }.
% 0.72/1.11 (1794) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z )
% 0.72/1.11 }.
% 0.72/1.11 (1795) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z ) ),
% 0.72/1.11 alpha6( X, Y, Z ) }.
% 0.72/1.11 (1796) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.72/1.11 (1797) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.72/1.11 (1798) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z ),
% 0.72/1.11 alpha12( X, Y, Z, T ) }.
% 0.72/1.11 (1799) {G0,W8,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), member( X
% 0.72/1.11 , Y ) }.
% 0.72/1.11 (1800) {G0,W10,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), alpha7( X
% 0.72/1.11 , Y, Z, T ) }.
% 0.72/1.11 (1801) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha7( X, Y, Z, T ),
% 0.72/1.11 least_upper_bound( X, Y, Z, T ) }.
% 0.72/1.11 (1802) {G0,W9,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y
% 0.72/1.11 ) }.
% 0.72/1.11 (1803) {G0,W10,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 (1804) {G0,W14,D2,L3,V4,M3} { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z
% 0.72/1.11 , T ), alpha7( X, Y, Z, T ) }.
% 0.72/1.11 (1805) {G0,W14,D2,L3,V5,M3} { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T
% 0.72/1.11 , U ), apply( Z, X, U ) }.
% 0.72/1.11 (1806) {G0,W13,D3,L2,V6,M2} { ! apply( Z, X, skol11( X, U, Z, W ) ),
% 0.72/1.11 alpha13( X, Y, Z, T ) }.
% 0.72/1.11 (1807) {G0,W14,D3,L2,V4,M2} { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ),
% 0.72/1.11 alpha13( X, Y, Z, T ) }.
% 0.72/1.11 (1808) {G0,W8,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.72/1.11 (1809) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X
% 0.72/1.11 ) }.
% 0.72/1.11 (1810) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! upper_bound( T, Y, X ),
% 0.72/1.11 alpha17( X, Y, Z, T ) }.
% 0.72/1.11 (1811) {G0,W8,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), member
% 0.72/1.11 ( X, Y ) }.
% 0.72/1.11 (1812) {G0,W10,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), alpha8
% 0.72/1.11 ( X, Y, Z, T ) }.
% 0.72/1.11 (1813) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha8( X, Y, Z, T ),
% 0.72/1.11 greatest_lower_bound( X, Y, Z, T ) }.
% 0.72/1.11 (1814) {G0,W9,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y
% 0.72/1.11 ) }.
% 0.72/1.11 (1815) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 (1816) {G0,W14,D2,L3,V4,M3} { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z
% 0.72/1.11 , T ), alpha8( X, Y, Z, T ) }.
% 0.72/1.11 (1817) {G0,W14,D2,L3,V5,M3} { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T
% 0.72/1.11 , U ), apply( Z, U, X ) }.
% 0.72/1.11 (1818) {G0,W13,D3,L2,V6,M2} { ! apply( Z, skol12( X, U, Z, W ), X ),
% 0.72/1.11 alpha14( X, Y, Z, T ) }.
% 0.72/1.11 (1819) {G0,W14,D3,L2,V4,M2} { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ),
% 0.72/1.11 alpha14( X, Y, Z, T ) }.
% 0.72/1.11 (1820) {G0,W8,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.72/1.11 (1821) {G0,W9,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X
% 0.72/1.11 ) }.
% 0.72/1.11 (1822) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! lower_bound( T, Y, X ),
% 0.72/1.11 alpha18( X, Y, Z, T ) }.
% 0.72/1.11 (1823) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.72/1.11 (1824) {G0,W4,D2,L1,V0,M1} { least( skol19, skol13, skol17 ) }.
% 0.72/1.11 (1825) {G0,W4,D2,L1,V0,M1} { least( skol20, skol13, skol17 ) }.
% 0.72/1.11 (1826) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Total Proof:
% 0.72/1.11
% 0.72/1.11 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1716) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1718) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y
% 0.72/1.11 , Z, T ), alpha22( X, Z, T ) }.
% 0.72/1.11 parent0: (1736) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z
% 0.72/1.11 , T ), alpha22( X, Z, T ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 T := T
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 2 ==> 2
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24
% 0.72/1.11 ( X, Y, Z ), Y = Z }.
% 0.72/1.11 parent0: (1739) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X
% 0.72/1.11 , Y, Z ), Y = Z }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 2 ==> 2
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (27) {G0,W8,D2,L2,V3,M2} I { ! alpha24( X, Y, Z ), apply( X, Y
% 0.72/1.11 , Z ) }.
% 0.72/1.11 parent0: (1742) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z
% 0.72/1.11 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (28) {G0,W8,D2,L2,V3,M2} I { ! alpha24( X, Y, Z ), apply( X, Z
% 0.72/1.11 , Y ) }.
% 0.72/1.11 parent0: (1743) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y
% 0.72/1.11 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X,
% 0.72/1.11 Z, Y ), alpha24( X, Y, Z ) }.
% 0.72/1.11 parent0: (1744) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z,
% 0.72/1.11 Y ), alpha24( X, Y, Z ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 2 ==> 2
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.72/1.11 ), alpha20( X, Y, Z ) }.
% 0.72/1.11 parent0: (1747) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X )
% 0.72/1.11 , alpha20( X, Y, Z ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 2 ==> 2
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y
% 0.72/1.11 ) }.
% 0.72/1.11 parent0: (1775) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y
% 0.72/1.11 , Z ) }.
% 0.72/1.11 parent0: (1776) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z
% 0.72/1.11 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T
% 0.72/1.11 , Y ), apply( X, Z, T ) }.
% 0.72/1.11 parent0: (1778) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y
% 0.72/1.11 ), apply( X, Z, T ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 T := T
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 2 ==> 2
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.72/1.11 parent0: (1823) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1824) {G0,W4,D2,L1,V0,M1} { least( skol19, skol13, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (110) {G0,W4,D2,L1,V0,M1} I { least( skol20, skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1825) {G0,W4,D2,L1,V0,M1} { least( skol20, skol13, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqswap: (1923) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 0.72/1.11 parent0[0]: (1826) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 0.72/1.11 parent0: (1923) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1924) {G1,W3,D2,L1,V0,M1} { alpha9( skol13, skol17 ) }.
% 0.72/1.11 parent0[0]: (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y ) }.
% 0.72/1.11 parent1[0]: (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol17
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1924) {G1,W3,D2,L1,V0,M1} { alpha9( skol13, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1925) {G1,W3,D2,L1,V0,M1} { alpha15( skol13, skol17 ) }.
% 0.72/1.11 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y )
% 0.72/1.11 }.
% 0.72/1.11 parent1[0]: (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol17
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (127) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1925) {G1,W3,D2,L1,V0,M1} { alpha15( skol13, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1926) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.72/1.11 parent0[0]: (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y )
% 0.72/1.11 }.
% 0.72/1.11 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol17
% 0.72/1.11 Z := skol19
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (134) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1926) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1927) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 0.72/1.11 parent0[0]: (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y )
% 0.72/1.11 }.
% 0.72/1.11 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { least( skol20, skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol17
% 0.72/1.11 Z := skol20
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (135) {G1,W3,D2,L1,V0,M1} R(60,110) { member( skol20, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 parent0: (1927) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1928) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol19 )
% 0.72/1.11 }.
% 0.72/1.11 parent0[0]: (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y,
% 0.72/1.11 Z ) }.
% 0.72/1.11 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol17
% 0.72/1.11 Z := skol19
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (456) {G1,W4,D2,L1,V0,M1} R(61,109) { alpha4( skol13, skol17,
% 0.72/1.11 skol19 ) }.
% 0.72/1.11 parent0: (1928) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol19 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1929) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 parent0[0]: (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y,
% 0.72/1.11 Z ) }.
% 0.72/1.11 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { least( skol20, skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol17
% 0.72/1.11 Z := skol20
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (457) {G1,W4,D2,L1,V0,M1} R(61,110) { alpha4( skol13, skol17,
% 0.72/1.11 skol20 ) }.
% 0.72/1.11 parent0: (1929) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol20 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1930) {G1,W12,D2,L3,V3,M3} { ! apply( X, Z, Y ), alpha24( X,
% 0.72/1.11 Y, Z ), ! alpha24( X, Z, Y ) }.
% 0.72/1.11 parent0[0]: (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X, Z
% 0.72/1.11 , Y ), alpha24( X, Y, Z ) }.
% 0.72/1.11 parent1[1]: (28) {G0,W8,D2,L2,V3,M2} I { ! alpha24( X, Y, Z ), apply( X, Z
% 0.72/1.11 , Y ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Z
% 0.72/1.11 Z := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1932) {G1,W12,D2,L3,V3,M3} { alpha24( X, Z, Y ), ! alpha24( X
% 0.72/1.11 , Y, Z ), ! alpha24( X, Y, Z ) }.
% 0.72/1.11 parent0[0]: (1930) {G1,W12,D2,L3,V3,M3} { ! apply( X, Z, Y ), alpha24( X,
% 0.72/1.11 Y, Z ), ! alpha24( X, Z, Y ) }.
% 0.72/1.11 parent1[1]: (27) {G0,W8,D2,L2,V3,M2} I { ! alpha24( X, Y, Z ), apply( X, Y
% 0.72/1.11 , Z ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Z
% 0.72/1.11 Z := Y
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Y
% 0.72/1.11 Z := Z
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 factor: (1933) {G1,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), ! alpha24( X, Z,
% 0.72/1.11 Y ) }.
% 0.72/1.11 parent0[1, 2]: (1932) {G1,W12,D2,L3,V3,M3} { alpha24( X, Z, Y ), ! alpha24
% 0.72/1.11 ( X, Y, Z ), ! alpha24( X, Y, Z ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Z
% 0.72/1.11 Z := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (483) {G1,W8,D2,L2,V3,M2} R(29,28);r(27) { alpha24( X, Z, Y )
% 0.72/1.11 , ! alpha24( X, Y, Z ) }.
% 0.72/1.11 parent0: (1933) {G1,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), ! alpha24( X, Z
% 0.72/1.11 , Y ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := Z
% 0.72/1.11 Z := Y
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1935) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha20(
% 0.72/1.11 skol17, X, skol20 ) }.
% 0.72/1.11 parent0[1]: (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.72/1.11 ), alpha20( X, Y, Z ) }.
% 0.72/1.11 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(60,110) { member( skol20, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol17
% 0.72/1.11 Y := X
% 0.72/1.11 Z := skol20
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (529) {G2,W7,D2,L2,V1,M2} R(32,135) { ! member( X, skol17 ),
% 0.72/1.11 alpha20( skol17, X, skol20 ) }.
% 0.72/1.11 parent0: (1935) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha20(
% 0.72/1.11 skol17, X, skol20 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1936) {G2,W4,D2,L1,V0,M1} { alpha20( skol17, skol19, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 parent0[0]: (529) {G2,W7,D2,L2,V1,M2} R(32,135) { ! member( X, skol17 ),
% 0.72/1.11 alpha20( skol17, X, skol20 ) }.
% 0.72/1.11 parent1[0]: (134) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol19
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1131) {G3,W4,D2,L1,V0,M1} R(529,134) { alpha20( skol17,
% 0.72/1.11 skol19, skol20 ) }.
% 0.72/1.11 parent0: (1936) {G2,W4,D2,L1,V0,M1} { alpha20( skol17, skol19, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1937) {G1,W7,D2,L2,V1,M2} { ! alpha15( X, skol17 ), alpha22(
% 0.72/1.11 X, skol19, skol20 ) }.
% 0.72/1.11 parent0[1]: (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y,
% 0.72/1.11 Z, T ), alpha22( X, Z, T ) }.
% 0.72/1.11 parent1[0]: (1131) {G3,W4,D2,L1,V0,M1} R(529,134) { alpha20( skol17, skol19
% 0.72/1.11 , skol20 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 Y := skol17
% 0.72/1.11 Z := skol19
% 0.72/1.11 T := skol20
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1137) {G4,W7,D2,L2,V1,M2} R(1131,21) { ! alpha15( X, skol17 )
% 0.72/1.11 , alpha22( X, skol19, skol20 ) }.
% 0.72/1.11 parent0: (1937) {G1,W7,D2,L2,V1,M2} { ! alpha15( X, skol17 ), alpha22( X,
% 0.72/1.11 skol19, skol20 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1938) {G3,W4,D2,L1,V0,M1} { alpha22( skol13, skol19, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 parent0[0]: (1137) {G4,W7,D2,L2,V1,M2} R(1131,21) { ! alpha15( X, skol17 )
% 0.72/1.11 , alpha22( X, skol19, skol20 ) }.
% 0.72/1.11 parent1[0]: (127) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1143) {G5,W4,D2,L1,V0,M1} R(1137,127) { alpha22( skol13,
% 0.72/1.11 skol19, skol20 ) }.
% 0.72/1.11 parent0: (1938) {G3,W4,D2,L1,V0,M1} { alpha22( skol13, skol19, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 eqswap: (1939) {G0,W11,D2,L3,V3,M3} { Y = X, ! alpha22( Z, X, Y ), !
% 0.72/1.11 alpha24( Z, X, Y ) }.
% 0.72/1.11 parent0[2]: (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24(
% 0.72/1.11 X, Y, Z ), Y = Z }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := Z
% 0.72/1.11 Y := X
% 0.72/1.11 Z := Y
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1940) {G1,W7,D2,L2,V0,M2} { skol20 = skol19, ! alpha24(
% 0.72/1.11 skol13, skol19, skol20 ) }.
% 0.72/1.11 parent0[1]: (1939) {G0,W11,D2,L3,V3,M3} { Y = X, ! alpha22( Z, X, Y ), !
% 0.72/1.11 alpha24( Z, X, Y ) }.
% 0.72/1.11 parent1[0]: (1143) {G5,W4,D2,L1,V0,M1} R(1137,127) { alpha22( skol13,
% 0.72/1.11 skol19, skol20 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol19
% 0.72/1.11 Y := skol20
% 0.72/1.11 Z := skol13
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1177) {G6,W7,D2,L2,V0,M2} R(1143,24) { ! alpha24( skol13,
% 0.72/1.11 skol19, skol20 ), skol20 ==> skol19 }.
% 0.72/1.11 parent0: (1940) {G1,W7,D2,L2,V0,M2} { skol20 = skol19, ! alpha24( skol13,
% 0.72/1.11 skol19, skol20 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 1
% 0.72/1.11 1 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1944) {G1,W4,D2,L1,V0,M1} { ! alpha24( skol13, skol19, skol20
% 0.72/1.11 ) }.
% 0.72/1.11 parent0[0]: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 0.72/1.11 parent1[1]: (1177) {G6,W7,D2,L2,V0,M2} R(1143,24) { ! alpha24( skol13,
% 0.72/1.11 skol19, skol20 ), skol20 ==> skol19 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1264) {G7,W4,D2,L1,V0,M1} S(1177);r(111) { ! alpha24( skol13
% 0.72/1.11 , skol19, skol20 ) }.
% 0.72/1.11 parent0: (1944) {G1,W4,D2,L1,V0,M1} { ! alpha24( skol13, skol19, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1945) {G2,W4,D2,L1,V0,M1} { ! alpha24( skol13, skol20, skol19
% 0.72/1.11 ) }.
% 0.72/1.11 parent0[0]: (1264) {G7,W4,D2,L1,V0,M1} S(1177);r(111) { ! alpha24( skol13,
% 0.72/1.11 skol19, skol20 ) }.
% 0.72/1.11 parent1[0]: (483) {G1,W8,D2,L2,V3,M2} R(29,28);r(27) { alpha24( X, Z, Y ),
% 0.72/1.11 ! alpha24( X, Y, Z ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol20
% 0.72/1.11 Z := skol19
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1265) {G8,W4,D2,L1,V0,M1} R(1264,483) { ! alpha24( skol13,
% 0.72/1.11 skol20, skol19 ) }.
% 0.72/1.11 parent0: (1945) {G2,W4,D2,L1,V0,M1} { ! alpha24( skol13, skol20, skol19 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1946) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply(
% 0.72/1.11 skol13, skol20, X ) }.
% 0.72/1.11 parent0[0]: (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T
% 0.72/1.11 , Y ), apply( X, Z, T ) }.
% 0.72/1.11 parent1[0]: (457) {G1,W4,D2,L1,V0,M1} R(61,110) { alpha4( skol13, skol17,
% 0.72/1.11 skol20 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol17
% 0.72/1.11 Z := skol20
% 0.72/1.11 T := X
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1488) {G2,W7,D2,L2,V1,M2} R(63,457) { ! member( X, skol17 ),
% 0.72/1.11 apply( skol13, skol20, X ) }.
% 0.72/1.11 parent0: (1946) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply( skol13
% 0.72/1.11 , skol20, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1947) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol20, skol19 )
% 0.72/1.11 }.
% 0.72/1.11 parent0[0]: (1488) {G2,W7,D2,L2,V1,M2} R(63,457) { ! member( X, skol17 ),
% 0.72/1.11 apply( skol13, skol20, X ) }.
% 0.72/1.11 parent1[0]: (134) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol19
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1543) {G3,W4,D2,L1,V0,M1} R(1488,134) { apply( skol13, skol20
% 0.72/1.11 , skol19 ) }.
% 0.72/1.11 parent0: (1947) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol20, skol19 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1948) {G1,W8,D2,L2,V0,M2} { ! apply( skol13, skol19, skol20 )
% 0.72/1.11 , alpha24( skol13, skol20, skol19 ) }.
% 0.72/1.11 parent0[0]: (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X, Z
% 0.72/1.11 , Y ), alpha24( X, Y, Z ) }.
% 0.72/1.11 parent1[0]: (1543) {G3,W4,D2,L1,V0,M1} R(1488,134) { apply( skol13, skol20
% 0.72/1.11 , skol19 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := skol20
% 0.72/1.11 Z := skol19
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1950) {G2,W4,D2,L1,V0,M1} { ! apply( skol13, skol19, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 parent0[0]: (1265) {G8,W4,D2,L1,V0,M1} R(1264,483) { ! alpha24( skol13,
% 0.72/1.11 skol20, skol19 ) }.
% 0.72/1.11 parent1[1]: (1948) {G1,W8,D2,L2,V0,M2} { ! apply( skol13, skol19, skol20 )
% 0.72/1.11 , alpha24( skol13, skol20, skol19 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1554) {G9,W4,D2,L1,V0,M1} R(1543,29);r(1265) { ! apply(
% 0.72/1.11 skol13, skol19, skol20 ) }.
% 0.72/1.11 parent0: (1950) {G2,W4,D2,L1,V0,M1} { ! apply( skol13, skol19, skol20 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1951) {G1,W7,D2,L2,V1,M2} { ! alpha4( skol13, X, skol19 ), !
% 0.72/1.11 member( skol20, X ) }.
% 0.72/1.11 parent0[0]: (1554) {G9,W4,D2,L1,V0,M1} R(1543,29);r(1265) { ! apply( skol13
% 0.72/1.11 , skol19, skol20 ) }.
% 0.72/1.11 parent1[2]: (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T
% 0.72/1.11 , Y ), apply( X, Z, T ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 X := skol13
% 0.72/1.11 Y := X
% 0.72/1.11 Z := skol19
% 0.72/1.11 T := skol20
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1565) {G10,W7,D2,L2,V1,M2} R(1554,63) { ! alpha4( skol13, X,
% 0.72/1.11 skol19 ), ! member( skol20, X ) }.
% 0.72/1.11 parent0: (1951) {G1,W7,D2,L2,V1,M2} { ! alpha4( skol13, X, skol19 ), !
% 0.72/1.11 member( skol20, X ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := X
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 0 ==> 0
% 0.72/1.11 1 ==> 1
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1952) {G2,W3,D2,L1,V0,M1} { ! member( skol20, skol17 ) }.
% 0.72/1.11 parent0[0]: (1565) {G10,W7,D2,L2,V1,M2} R(1554,63) { ! alpha4( skol13, X,
% 0.72/1.11 skol19 ), ! member( skol20, X ) }.
% 0.72/1.11 parent1[0]: (456) {G1,W4,D2,L1,V0,M1} R(61,109) { alpha4( skol13, skol17,
% 0.72/1.11 skol19 ) }.
% 0.72/1.11 substitution0:
% 0.72/1.11 X := skol17
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 resolution: (1953) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.11 parent0[0]: (1952) {G2,W3,D2,L1,V0,M1} { ! member( skol20, skol17 ) }.
% 0.72/1.11 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(60,110) { member( skol20, skol17 )
% 0.72/1.11 }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 substitution1:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 subsumption: (1713) {G11,W0,D0,L0,V0,M0} R(1565,456);r(135) { }.
% 0.72/1.11 parent0: (1953) {G2,W0,D0,L0,V0,M0} { }.
% 0.72/1.11 substitution0:
% 0.72/1.11 end
% 0.72/1.11 permutation0:
% 0.72/1.11 end
% 0.72/1.11
% 0.72/1.11 Proof check complete!
% 0.72/1.11
% 0.72/1.11 Memory use:
% 0.72/1.11
% 0.72/1.11 space for terms: 22973
% 0.72/1.11 space for clauses: 79643
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 clauses generated: 2899
% 0.72/1.11 clauses kept: 1714
% 0.72/1.11 clauses selected: 251
% 0.72/1.11 clauses deleted: 2
% 0.72/1.11 clauses inuse deleted: 0
% 0.72/1.11
% 0.72/1.11 subsentry: 4222
% 0.72/1.11 literals s-matched: 3709
% 0.72/1.11 literals matched: 2685
% 0.72/1.11 full subsumption: 28
% 0.72/1.11
% 0.72/1.11 checksum: 1688610
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksem ended
%------------------------------------------------------------------------------