%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET794+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 0.76s 1.22s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET794+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jul 11 11:10:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! order( X, Y ), alpha1( X, Y ) }.
% 0.73/1.12 { ! order( X, Y ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X, Y ) }.
% 0.73/1.12 { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.73/1.12 { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.73/1.12 { alpha23( Y, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X,
% 0.73/1.12 Y ) }.
% 0.73/1.12 { ! alpha25( X, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X
% 0.73/1.12 , Y ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.73/1.12 { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.73/1.12 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T ) }.
% 0.73/1.12 { ! member( Y, X ), ! alpha21( X, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.73/1.12 { ! member( Y, X ), ! member( Z, X ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha15( X, Y ), ! alpha20( Y, Z, T ), alpha22( X, Z, T ) }.
% 0.73/1.12 { alpha20( Y, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y = Z }.
% 0.73/1.12 { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.73/1.12 { ! apply( X, Y, Z ), ! apply( X, Z, Y ), alpha24( X, Y, Z ) }.
% 0.73/1.12 { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.73/1.12 { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.73/1.12 { ! member( Y, X ), ! member( Z, X ), alpha20( X, Y, Z ) }.
% 0.73/1.12 { ! alpha1( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.73/1.12 { member( skol3( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.73/1.12 { ! apply( X, skol3( X, Y ), skol3( X, Y ) ), alpha1( X, Y ) }.
% 0.73/1.12 { ! total_order( X, Y ), order( X, Y ) }.
% 0.73/1.12 { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.73/1.12 { ! order( X, Y ), ! alpha2( X, Y ), total_order( X, Y ) }.
% 0.73/1.12 { ! alpha2( X, Y ), ! alpha10( Y, Z, T ), alpha16( X, Z, T ) }.
% 0.73/1.12 { alpha10( Y, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.73/1.12 { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.73/1.12 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.73/1.12 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.73/1.12 { ! upper_bound( Z, X, Y ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.73/1.12 { member( skol5( T, Y, U ), Y ), upper_bound( Z, X, Y ) }.
% 0.73/1.12 { ! apply( X, skol5( X, Y, Z ), Z ), upper_bound( Z, X, Y ) }.
% 0.73/1.12 { ! lower_bound( Z, X, Y ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.73/1.12 { member( skol6( T, Y, U ), Y ), lower_bound( Z, X, Y ) }.
% 0.73/1.12 { ! apply( X, Z, skol6( X, Y, Z ) ), lower_bound( Z, X, Y ) }.
% 0.73/1.12 { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.12 { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.73/1.12 { ! member( Z, Y ), ! alpha3( X, Y, Z ), greatest( Z, X, Y ) }.
% 0.73/1.12 { ! alpha3( X, Y, Z ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.73/1.12 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.73/1.12 { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X, Y, Z ) }.
% 0.73/1.12 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.12 { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.73/1.12 { ! member( Z, Y ), ! alpha4( X, Y, Z ), least( Z, X, Y ) }.
% 0.73/1.12 { ! alpha4( X, Y, Z ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.73/1.12 { member( skol8( T, Y, U ), Y ), alpha4( X, Y, Z ) }.
% 0.73/1.12 { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.73/1.12 { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.12 { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.73/1.12 { ! member( Z, Y ), ! alpha5( X, Y, Z ), max( Z, X, Y ) }.
% 0.73/1.12 { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T ), Z = T }.
% 0.73/1.12 { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.12 { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.73/1.12 { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.76/1.22 { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.76/1.22 { ! member( T, Y ), ! apply( X, Z, T ), alpha11( X, Y, Z, T ) }.
% 0.76/1.22 { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.76/1.22 { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.76/1.22 { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z, X, Y ) }.
% 0.76/1.22 { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T ), Z = T }.
% 0.76/1.22 { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z ) }.
% 0.76/1.22 { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 0.76/1.22 { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.76/1.22 { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.76/1.22 { ! member( T, Y ), ! apply( X, T, Z ), alpha12( X, Y, Z, T ) }.
% 0.76/1.22 { ! least_upper_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.76/1.22 { ! least_upper_bound( X, Y, Z, T ), alpha7( X, Y, Z, T ) }.
% 0.76/1.22 { ! member( X, Y ), ! alpha7( X, Y, Z, T ), least_upper_bound( X, Y, Z, T )
% 0.76/1.22 }.
% 0.76/1.22 { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y ) }.
% 0.76/1.22 { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.76/1.22 { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z, T ), alpha7( X, Y, Z, T ) }
% 0.76/1.22 .
% 0.76/1.22 { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T, U ), apply( Z, X, U ) }.
% 0.76/1.22 { ! apply( Z, X, skol11( X, U, Z, W ) ), alpha13( X, Y, Z, T ) }.
% 0.76/1.22 { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ), alpha13( X, Y, Z, T ) }.
% 0.76/1.22 { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.76/1.22 { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X ) }.
% 0.76/1.22 { ! member( T, Z ), ! upper_bound( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 0.76/1.22 { ! greatest_lower_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.76/1.22 { ! greatest_lower_bound( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 0.76/1.22 { ! member( X, Y ), ! alpha8( X, Y, Z, T ), greatest_lower_bound( X, Y, Z,
% 0.76/1.22 T ) }.
% 0.76/1.22 { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y ) }.
% 0.76/1.22 { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T ) }.
% 0.76/1.22 { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z, T ), alpha8( X, Y, Z, T ) }
% 0.76/1.22 .
% 0.76/1.22 { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T, U ), apply( Z, U, X ) }.
% 0.76/1.22 { ! apply( Z, skol12( X, U, Z, W ), X ), alpha14( X, Y, Z, T ) }.
% 0.76/1.22 { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ), alpha14( X, Y, Z, T ) }.
% 0.76/1.22 { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.76/1.22 { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X ) }.
% 0.76/1.22 { ! member( T, Z ), ! lower_bound( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 0.76/1.22 { total_order( skol13, skol17 ) }.
% 0.76/1.22 { min( skol19, skol13, skol17 ) }.
% 0.76/1.22 { ! least( skol19, skol13, skol17 ) }.
% 0.76/1.22
% 0.76/1.22 percentage equality = 0.023529, percentage horn = 0.864865
% 0.76/1.22 This is a problem with some equality
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 Options Used:
% 0.76/1.22
% 0.76/1.22 useres = 1
% 0.76/1.22 useparamod = 1
% 0.76/1.22 useeqrefl = 1
% 0.76/1.22 useeqfact = 1
% 0.76/1.22 usefactor = 1
% 0.76/1.22 usesimpsplitting = 0
% 0.76/1.22 usesimpdemod = 5
% 0.76/1.22 usesimpres = 3
% 0.76/1.22
% 0.76/1.22 resimpinuse = 1000
% 0.76/1.22 resimpclauses = 20000
% 0.76/1.22 substype = eqrewr
% 0.76/1.22 backwardsubs = 1
% 0.76/1.22 selectoldest = 5
% 0.76/1.22
% 0.76/1.22 litorderings [0] = split
% 0.76/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.22
% 0.76/1.22 termordering = kbo
% 0.76/1.22
% 0.76/1.22 litapriori = 0
% 0.76/1.22 termapriori = 1
% 0.76/1.22 litaposteriori = 0
% 0.76/1.22 termaposteriori = 0
% 0.76/1.22 demodaposteriori = 0
% 0.76/1.22 ordereqreflfact = 0
% 0.76/1.22
% 0.76/1.22 litselect = negord
% 0.76/1.22
% 0.76/1.22 maxweight = 15
% 0.76/1.22 maxdepth = 30000
% 0.76/1.22 maxlength = 115
% 0.76/1.22 maxnrvars = 195
% 0.76/1.22 excuselevel = 1
% 0.76/1.22 increasemaxweight = 1
% 0.76/1.22
% 0.76/1.22 maxselected = 10000000
% 0.76/1.22 maxnrclauses = 10000000
% 0.76/1.22
% 0.76/1.22 showgenerated = 0
% 0.76/1.22 showkept = 0
% 0.76/1.22 showselected = 0
% 0.76/1.22 showdeleted = 0
% 0.76/1.22 showresimp = 1
% 0.76/1.22 showstatus = 2000
% 0.76/1.22
% 0.76/1.22 prologoutput = 0
% 0.76/1.22 nrgoals = 5000000
% 0.76/1.22 totalproof = 1
% 0.76/1.22
% 0.76/1.22 Symbols occurring in the translation:
% 0.76/1.22
% 0.76/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.22 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.76/1.22 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.76/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.22 order [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.76/1.22 member [39, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.22 apply [40, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.22 total_order [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.22 upper_bound [45, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.22 lower_bound [46, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.76/1.22 greatest [47, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.76/1.22 least [48, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.76/1.22 max [49, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.76/1.22 min [50, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.76/1.22 least_upper_bound [52, 4] (w:1, o:84, a:1, s:1, b:0),
% 0.76/1.22 greatest_lower_bound [53, 4] (w:1, o:85, a:1, s:1, b:0),
% 0.76/1.22 alpha1 [54, 2] (w:1, o:56, a:1, s:1, b:1),
% 0.76/1.22 alpha2 [55, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.76/1.22 alpha3 [56, 3] (w:1, o:72, a:1, s:1, b:1),
% 0.76/1.22 alpha4 [57, 3] (w:1, o:73, a:1, s:1, b:1),
% 0.76/1.22 alpha5 [58, 3] (w:1, o:74, a:1, s:1, b:1),
% 0.76/1.22 alpha6 [59, 3] (w:1, o:75, a:1, s:1, b:1),
% 0.76/1.22 alpha7 [60, 4] (w:1, o:86, a:1, s:1, b:1),
% 0.76/1.22 alpha8 [61, 4] (w:1, o:87, a:1, s:1, b:1),
% 0.76/1.22 alpha9 [62, 2] (w:1, o:60, a:1, s:1, b:1),
% 0.76/1.22 alpha10 [63, 3] (w:1, o:76, a:1, s:1, b:1),
% 0.76/1.22 alpha11 [64, 4] (w:1, o:88, a:1, s:1, b:1),
% 0.76/1.22 alpha12 [65, 4] (w:1, o:89, a:1, s:1, b:1),
% 0.76/1.22 alpha13 [66, 4] (w:1, o:90, a:1, s:1, b:1),
% 0.76/1.22 alpha14 [67, 4] (w:1, o:91, a:1, s:1, b:1),
% 0.76/1.22 alpha15 [68, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.76/1.22 alpha16 [69, 3] (w:1, o:77, a:1, s:1, b:1),
% 0.76/1.22 alpha17 [70, 4] (w:1, o:92, a:1, s:1, b:1),
% 0.76/1.22 alpha18 [71, 4] (w:1, o:93, a:1, s:1, b:1),
% 0.76/1.22 alpha19 [72, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.76/1.22 alpha20 [73, 3] (w:1, o:68, a:1, s:1, b:1),
% 0.76/1.22 alpha21 [74, 3] (w:1, o:69, a:1, s:1, b:1),
% 0.76/1.22 alpha22 [75, 3] (w:1, o:70, a:1, s:1, b:1),
% 0.76/1.22 alpha23 [76, 4] (w:1, o:94, a:1, s:1, b:1),
% 0.76/1.22 alpha24 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 0.76/1.22 alpha25 [78, 4] (w:1, o:95, a:1, s:1, b:1),
% 0.76/1.22 alpha26 [79, 4] (w:1, o:96, a:1, s:1, b:1),
% 0.76/1.22 skol1 [80, 2] (w:1, o:47, a:1, s:1, b:1),
% 0.76/1.22 skol2 [81, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.76/1.22 skol3 [82, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.76/1.22 skol4 [83, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.76/1.22 skol5 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 0.76/1.22 skol6 [85, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.76/1.22 skol7 [86, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.76/1.22 skol8 [87, 3] (w:1, o:81, a:1, s:1, b:1),
% 0.76/1.22 skol9 [88, 3] (w:1, o:82, a:1, s:1, b:1),
% 0.76/1.22 skol10 [89, 3] (w:1, o:83, a:1, s:1, b:1),
% 0.76/1.22 skol11 [90, 4] (w:1, o:97, a:1, s:1, b:1),
% 0.76/1.22 skol12 [91, 4] (w:1, o:98, a:1, s:1, b:1),
% 0.76/1.22 skol13 [92, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.76/1.22 skol14 [93, 2] (w:1, o:48, a:1, s:1, b:1),
% 0.76/1.22 skol15 [94, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.76/1.22 skol16 [95, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.76/1.22 skol17 [96, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.76/1.22 skol18 [97, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.76/1.22 skol19 [98, 0] (w:1, o:15, a:1, s:1, b:1).
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 Starting Search:
% 0.76/1.22
% 0.76/1.22 *** allocated 15000 integers for clauses
% 0.76/1.22 *** allocated 22500 integers for clauses
% 0.76/1.22 *** allocated 33750 integers for clauses
% 0.76/1.22 *** allocated 15000 integers for termspace/termends
% 0.76/1.22 *** allocated 50625 integers for clauses
% 0.76/1.22 Resimplifying inuse:
% 0.76/1.22 Done
% 0.76/1.22
% 0.76/1.22 *** allocated 75937 integers for clauses
% 0.76/1.22 *** allocated 22500 integers for termspace/termends
% 0.76/1.22 *** allocated 113905 integers for clauses
% 0.76/1.22 *** allocated 33750 integers for termspace/termends
% 0.76/1.22
% 0.76/1.22 Intermediate Status:
% 0.76/1.22 Generated: 4816
% 0.76/1.22 Kept: 2013
% 0.76/1.22 Inuse: 309
% 0.76/1.22 Deleted: 0
% 0.76/1.22 Deletedinuse: 0
% 0.76/1.22
% 0.76/1.22 Resimplifying inuse:
% 0.76/1.22 Done
% 0.76/1.22
% 0.76/1.22 *** allocated 170857 integers for clauses
% 0.76/1.22 *** allocated 50625 integers for termspace/termends
% 0.76/1.22
% 0.76/1.22 Bliksems!, er is een bewijs:
% 0.76/1.22 % SZS status Theorem
% 0.76/1.22 % SZS output start Refutation
% 0.76/1.22
% 0.76/1.22 (0) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha1( X, Y ) }.
% 0.76/1.22 (33) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! member( Z, Y ), apply( X
% 0.76/1.22 , Z, Z ) }.
% 0.76/1.22 (36) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), order( X, Y ) }.
% 0.76/1.22 (37) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.76/1.22 (39) {G0,W11,D2,L3,V4,M3} I { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 0.76/1.22 alpha16( X, Z, T ) }.
% 0.76/1.22 (42) {G0,W12,D2,L3,V3,M3} I { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply
% 0.76/1.22 ( X, Z, Y ) }.
% 0.76/1.22 (47) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X ), alpha10(
% 0.76/1.22 X, Y, Z ) }.
% 0.76/1.22 (62) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha4( X, Y, Z ), least
% 0.76/1.22 ( Z, X, Y ) }.
% 0.76/1.22 (64) {G0,W10,D3,L2,V5,M2} I { member( skol8( T, Y, U ), Y ), alpha4( X, Y,
% 0.76/1.22 Z ) }.
% 0.76/1.22 (65) {G0,W11,D3,L2,V3,M2} I { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X
% 0.76/1.22 , Y, Z ) }.
% 0.76/1.22 (75) {G0,W7,D2,L2,V3,M2} I { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.76/1.22 (76) {G0,W8,D2,L2,V3,M2} I { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.76/1.22 (78) {G0,W12,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T )
% 0.76/1.22 , Z = T }.
% 0.76/1.22 (83) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, T, Z ), alpha12
% 0.76/1.22 ( X, Y, Z, T ) }.
% 0.76/1.22 (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 ) }.
% 0.76/1.22 (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 ) }.
% 0.76/1.22 (110) {G0,W4,D2,L1,V0,M1} I { ! least( skol19, skol13, skol17 ) }.
% 0.76/1.22 (118) {G1,W3,D2,L1,V0,M1} R(37,108) { alpha2( skol13, skol17 ) }.
% 0.76/1.22 (120) {G1,W3,D2,L1,V0,M1} R(36,108) { order( skol13, skol17 ) }.
% 0.76/1.22 (121) {G2,W3,D2,L1,V0,M1} R(120,0) { alpha1( skol13, skol17 ) }.
% 0.76/1.22 (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 ) }.
% 0.76/1.22 (364) {G1,W4,D2,L1,V0,M1} R(76,109) { alpha6( skol13, skol17, skol19 ) }.
% 0.76/1.22 (594) {G2,W7,D2,L2,V1,M2} R(33,131) { ! alpha1( X, skol17 ), apply( X,
% 0.76/1.22 skol19, skol19 ) }.
% 0.76/1.22 (605) {G3,W4,D2,L1,V0,M1} R(594,121) { apply( skol13, skol19, skol19 ) }.
% 0.76/1.22 (765) {G2,W8,D2,L2,V2,M2} R(39,118) { ! alpha10( skol17, X, Y ), alpha16(
% 0.76/1.22 skol13, X, Y ) }.
% 0.76/1.22 (862) {G2,W7,D2,L2,V1,M2} R(47,131) { ! member( X, skol17 ), alpha10(
% 0.76/1.22 skol17, skol19, X ) }.
% 0.76/1.22 (867) {G3,W7,D2,L2,V1,M2} R(862,765) { ! member( X, skol17 ), alpha16(
% 0.76/1.22 skol13, skol19, X ) }.
% 0.76/1.22 (1316) {G2,W4,D2,L1,V0,M1} R(62,110);r(131) { ! alpha4( skol13, skol17,
% 0.76/1.22 skol19 ) }.
% 0.76/1.22 (1370) {G3,W6,D3,L1,V2,M1} R(64,1316) { member( skol8( X, skol17, Y ),
% 0.76/1.22 skol17 ) }.
% 0.76/1.22 (1410) {G4,W7,D3,L1,V2,M1} R(1370,867) { alpha16( skol13, skol19, skol8( X
% 0.76/1.22 , skol17, Y ) ) }.
% 0.76/1.22 (1441) {G3,W7,D3,L1,V0,M1} R(65,1316) { ! apply( skol13, skol19, skol8(
% 0.76/1.22 skol13, skol17, skol19 ) ) }.
% 0.76/1.22 (1500) {G5,W7,D3,L1,V0,M1} R(1441,42);r(1410) { apply( skol13, skol8(
% 0.76/1.22 skol13, skol17, skol19 ), skol19 ) }.
% 0.76/1.22 (1775) {G2,W8,D2,L2,V1,M2} R(78,364) { ! alpha12( skol13, skol17, skol19, X
% 0.76/1.22 ), skol19 = X }.
% 0.76/1.22 (2624) {G4,W8,D3,L1,V0,M1} P(1775,1441);r(605) { ! alpha12( skol13, skol17
% 0.76/1.22 , skol19, skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 (2982) {G5,W7,D3,L1,V0,M1} R(2624,83);r(1370) { ! apply( skol13, skol8(
% 0.76/1.22 skol13, skol17, skol19 ), skol19 ) }.
% 0.76/1.22 (2983) {G6,W0,D0,L0,V0,M0} S(2982);r(1500) { }.
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 % SZS output end Refutation
% 0.76/1.22 found a proof!
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 Unprocessed initial clauses:
% 0.76/1.22
% 0.76/1.22 (2985) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 0.76/1.22 (2986) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.76/1.22 (2987) {G0,W9,D2,L3,V2,M3} { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X
% 0.76/1.22 , Y ) }.
% 0.76/1.22 (2988) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.76/1.22 (2989) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.76/1.22 (2990) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9
% 0.76/1.22 ( X, Y ) }.
% 0.76/1.22 (2991) {G0,W13,D2,L3,V5,M3} { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ),
% 0.76/1.22 alpha25( X, Z, T, U ) }.
% 0.76/1.22 (2992) {G0,W14,D3,L2,V2,M2} { alpha23( Y, skol1( X, Y ), skol14( X, Y ),
% 0.76/1.22 skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.76/1.22 (2993) {G0,W14,D3,L2,V2,M2} { ! alpha25( X, skol1( X, Y ), skol14( X, Y )
% 0.76/1.22 , skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.76/1.22 (2994) {G0,W14,D2,L3,V4,M3} { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z
% 0.76/1.22 , T ), apply( X, Y, T ) }.
% 0.76/1.22 (2995) {G0,W10,D2,L2,V4,M2} { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T )
% 0.76/1.22 }.
% 0.76/1.22 (2996) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.76/1.22 (2997) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.76/1.22 (2998) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.76/1.22 (2999) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 0.76/1.22 alpha26( X, Y, Z, T ) }.
% 0.76/1.22 (3000) {G0,W8,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.76/1.22 (3001) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T )
% 0.76/1.22 }.
% 0.76/1.22 (3002) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha21( X, Z, T ),
% 0.76/1.22 alpha23( X, Y, Z, T ) }.
% 0.76/1.22 (3003) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.76/1.22 (3004) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.76/1.22 (3005) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha21
% 0.76/1.22 ( X, Y, Z ) }.
% 0.76/1.22 (3006) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.76/1.22 alpha22( X, Z, T ) }.
% 0.76/1.22 (3007) {G0,W11,D3,L2,V2,M2} { alpha20( Y, skol2( X, Y ), skol15( X, Y ) )
% 0.76/1.22 , alpha15( X, Y ) }.
% 0.76/1.22 (3008) {G0,W11,D3,L2,V2,M2} { ! alpha22( X, skol2( X, Y ), skol15( X, Y )
% 0.76/1.22 ), alpha15( X, Y ) }.
% 0.76/1.22 (3009) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ),
% 0.76/1.22 Y = Z }.
% 0.76/1.22 (3010) {G0,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.76/1.22 (3011) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.76/1.22 (3012) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.76/1.22 (3013) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.76/1.22 (3014) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.76/1.22 alpha24( X, Y, Z ) }.
% 0.76/1.22 (3015) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.76/1.22 (3016) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.76/1.22 (3017) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha20
% 0.76/1.22 ( X, Y, Z ) }.
% 0.76/1.22 (3018) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y ), apply( X
% 0.76/1.22 , Z, Z ) }.
% 0.76/1.22 (3019) {G0,W8,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), alpha1( X, Y )
% 0.76/1.22 }.
% 0.76/1.22 (3020) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol3( X, Y ), skol3( X, Y ) ),
% 0.76/1.22 alpha1( X, Y ) }.
% 0.76/1.22 (3021) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y ) }.
% 0.76/1.22 (3022) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.76/1.22 (3023) {G0,W9,D2,L3,V2,M3} { ! order( X, Y ), ! alpha2( X, Y ),
% 0.76/1.22 total_order( X, Y ) }.
% 0.76/1.22 (3024) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 0.76/1.22 alpha16( X, Z, T ) }.
% 0.76/1.22 (3025) {G0,W11,D3,L2,V2,M2} { alpha10( Y, skol4( X, Y ), skol16( X, Y ) )
% 0.76/1.22 , alpha2( X, Y ) }.
% 0.76/1.22 (3026) {G0,W11,D3,L2,V2,M2} { ! alpha16( X, skol4( X, Y ), skol16( X, Y )
% 0.76/1.22 ), alpha2( X, Y ) }.
% 0.76/1.22 (3027) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y, Z ),
% 0.76/1.22 apply( X, Z, Y ) }.
% 0.76/1.22 (3028) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.76/1.22 (3029) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.76/1.22 (3030) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.76/1.22 (3031) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.76/1.22 (3032) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 0.76/1.22 ( X, Y, Z ) }.
% 0.76/1.22 (3033) {G0,W11,D2,L3,V4,M3} { ! upper_bound( Z, X, Y ), ! member( T, Y ),
% 0.76/1.22 apply( X, T, Z ) }.
% 0.76/1.22 (3034) {G0,W10,D3,L2,V5,M2} { member( skol5( T, Y, U ), Y ), upper_bound(
% 0.76/1.22 Z, X, Y ) }.
% 0.76/1.22 (3035) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol5( X, Y, Z ), Z ),
% 0.76/1.22 upper_bound( Z, X, Y ) }.
% 0.76/1.22 (3036) {G0,W11,D2,L3,V4,M3} { ! lower_bound( Z, X, Y ), ! member( T, Y ),
% 0.76/1.22 apply( X, Z, T ) }.
% 0.76/1.22 (3037) {G0,W10,D3,L2,V5,M2} { member( skol6( T, Y, U ), Y ), lower_bound(
% 0.76/1.22 Z, X, Y ) }.
% 0.76/1.22 (3038) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol6( X, Y, Z ) ),
% 0.76/1.22 lower_bound( Z, X, Y ) }.
% 0.76/1.22 (3039) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.76/1.22 (3040) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.76/1.22 (3041) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 0.76/1.22 greatest( Z, X, Y ) }.
% 0.76/1.22 (3042) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ), apply
% 0.76/1.22 ( X, T, Z ) }.
% 0.76/1.22 (3043) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 0.76/1.22 , Z ) }.
% 0.76/1.22 (3044) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X
% 0.76/1.22 , Y, Z ) }.
% 0.76/1.22 (3045) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.76/1.22 (3046) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.76/1.22 (3047) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z ), least
% 0.76/1.22 ( Z, X, Y ) }.
% 0.76/1.22 (3048) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 0.76/1.22 ( X, Z, T ) }.
% 0.76/1.22 (3049) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ), alpha4( X, Y
% 0.76/1.22 , Z ) }.
% 0.76/1.22 (3050) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X
% 0.76/1.22 , Y, Z ) }.
% 0.76/1.22 (3051) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.76/1.22 (3052) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.76/1.22 (3053) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha5( X, Y, Z ), max(
% 0.76/1.22 Z, X, Y ) }.
% 0.76/1.22 (3054) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T )
% 0.76/1.22 , Z = T }.
% 0.76/1.22 (3055) {G0,W10,D3,L2,V5,M2} { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z )
% 0.76/1.22 }.
% 0.76/1.22 (3056) {G0,W12,D3,L2,V3,M2} { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5
% 0.76/1.22 ( X, Y, Z ) }.
% 0.76/1.22 (3057) {G0,W8,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.76/1.22 (3058) {G0,W9,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.76/1.22 (3059) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 0.76/1.22 alpha11( X, Y, Z, T ) }.
% 0.76/1.22 (3060) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.76/1.22 (3061) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.76/1.22 (3062) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z ), min(
% 0.76/1.22 Z, X, Y ) }.
% 0.76/1.22 (3063) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T )
% 0.76/1.22 , Z = T }.
% 0.76/1.22 (3064) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z )
% 0.76/1.22 }.
% 0.76/1.22 (3065) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z ) ),
% 0.76/1.22 alpha6( X, Y, Z ) }.
% 0.76/1.22 (3066) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.76/1.22 (3067) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.76/1.22 (3068) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z ),
% 0.76/1.22 alpha12( X, Y, Z, T ) }.
% 0.76/1.22 (3069) {G0,W8,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), member( X
% 0.76/1.22 , Y ) }.
% 0.76/1.22 (3070) {G0,W10,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), alpha7( X
% 0.76/1.22 , Y, Z, T ) }.
% 0.76/1.22 (3071) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha7( X, Y, Z, T ),
% 0.76/1.22 least_upper_bound( X, Y, Z, T ) }.
% 0.76/1.22 (3072) {G0,W9,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y
% 0.76/1.22 ) }.
% 0.76/1.22 (3073) {G0,W10,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T
% 0.76/1.22 ) }.
% 0.76/1.22 (3074) {G0,W14,D2,L3,V4,M3} { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z
% 0.76/1.22 , T ), alpha7( X, Y, Z, T ) }.
% 0.76/1.22 (3075) {G0,W14,D2,L3,V5,M3} { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T
% 0.76/1.22 , U ), apply( Z, X, U ) }.
% 0.76/1.22 (3076) {G0,W13,D3,L2,V6,M2} { ! apply( Z, X, skol11( X, U, Z, W ) ),
% 0.76/1.22 alpha13( X, Y, Z, T ) }.
% 0.76/1.22 (3077) {G0,W14,D3,L2,V4,M2} { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ),
% 0.76/1.22 alpha13( X, Y, Z, T ) }.
% 0.76/1.22 (3078) {G0,W8,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.76/1.22 (3079) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X
% 0.76/1.22 ) }.
% 0.76/1.22 (3080) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! upper_bound( T, Y, X ),
% 0.76/1.22 alpha17( X, Y, Z, T ) }.
% 0.76/1.22 (3081) {G0,W8,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), member
% 0.76/1.22 ( X, Y ) }.
% 0.76/1.22 (3082) {G0,W10,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), alpha8
% 0.76/1.22 ( X, Y, Z, T ) }.
% 0.76/1.22 (3083) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha8( X, Y, Z, T ),
% 0.76/1.22 greatest_lower_bound( X, Y, Z, T ) }.
% 0.76/1.22 (3084) {G0,W9,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y
% 0.76/1.22 ) }.
% 0.76/1.22 (3085) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T
% 0.76/1.22 ) }.
% 0.76/1.22 (3086) {G0,W14,D2,L3,V4,M3} { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z
% 0.76/1.22 , T ), alpha8( X, Y, Z, T ) }.
% 0.76/1.22 (3087) {G0,W14,D2,L3,V5,M3} { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T
% 0.76/1.22 , U ), apply( Z, U, X ) }.
% 0.76/1.22 (3088) {G0,W13,D3,L2,V6,M2} { ! apply( Z, skol12( X, U, Z, W ), X ),
% 0.76/1.22 alpha14( X, Y, Z, T ) }.
% 0.76/1.22 (3089) {G0,W14,D3,L2,V4,M2} { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ),
% 0.76/1.22 alpha14( X, Y, Z, T ) }.
% 0.76/1.22 (3090) {G0,W8,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.76/1.22 (3091) {G0,W9,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X
% 0.76/1.22 ) }.
% 0.76/1.22 (3092) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! lower_bound( T, Y, X ),
% 0.76/1.22 alpha18( X, Y, Z, T ) }.
% 0.76/1.22 (3093) {G0,W3,D2,L1,V0,M1} { total_order( skol13, skol17 ) }.
% 0.76/1.22 (3094) {G0,W4,D2,L1,V0,M1} { min( skol19, skol13, skol17 ) }.
% 0.76/1.22 (3095) {G0,W4,D2,L1,V0,M1} { ! least( skol19, skol13, skol17 ) }.
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 Total Proof:
% 0.76/1.22
% 0.76/1.22 subsumption: (0) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha1( X, Y )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (2985) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (33) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! member( Z, Y
% 0.76/1.22 ), apply( X, Z, Z ) }.
% 0.76/1.22 parent0: (3018) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y )
% 0.76/1.22 , apply( X, Z, Z ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 2 ==> 2
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (36) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), order( X,
% 0.76/1.22 Y ) }.
% 0.76/1.22 parent0: (3021) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (37) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), alpha2( X
% 0.76/1.22 , Y ) }.
% 0.76/1.22 parent0: (3022) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y
% 0.76/1.22 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (39) {G0,W11,D2,L3,V4,M3} I { ! alpha2( X, Y ), ! alpha10( Y,
% 0.76/1.22 Z, T ), alpha16( X, Z, T ) }.
% 0.76/1.22 parent0: (3024) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z,
% 0.76/1.22 T ), alpha16( X, Z, T ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 T := T
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 2 ==> 2
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (42) {G0,W12,D2,L3,V3,M3} I { ! alpha16( X, Y, Z ), apply( X,
% 0.76/1.22 Y, Z ), apply( X, Z, Y ) }.
% 0.76/1.22 parent0: (3027) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y,
% 0.76/1.22 Z ), apply( X, Z, Y ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 2 ==> 2
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (47) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.76/1.22 ), alpha10( X, Y, Z ) }.
% 0.76/1.22 parent0: (3032) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X )
% 0.76/1.22 , alpha10( X, Y, Z ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 2 ==> 2
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (62) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha4( X, Y
% 0.76/1.22 , Z ), least( Z, X, Y ) }.
% 0.76/1.22 parent0: (3047) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z
% 0.76/1.22 ), least( Z, X, Y ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 2 ==> 2
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (64) {G0,W10,D3,L2,V5,M2} I { member( skol8( T, Y, U ), Y ),
% 0.76/1.22 alpha4( X, Y, Z ) }.
% 0.76/1.22 parent0: (3049) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ),
% 0.76/1.22 alpha4( X, Y, Z ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 T := T
% 0.76/1.22 U := U
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (65) {G0,W11,D3,L2,V3,M2} I { ! apply( X, Z, skol8( X, Y, Z )
% 0.76/1.22 ), alpha4( X, Y, Z ) }.
% 0.76/1.22 parent0: (3050) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ),
% 0.76/1.22 alpha4( X, Y, Z ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (75) {G0,W7,D2,L2,V3,M2} I { ! min( Z, X, Y ), member( Z, Y )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (3060) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (76) {G0,W8,D2,L2,V3,M2} I { ! min( Z, X, Y ), alpha6( X, Y, Z
% 0.76/1.22 ) }.
% 0.76/1.22 parent0: (3061) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (78) {G0,W12,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! alpha12(
% 0.76/1.22 X, Y, Z, T ), Z = T }.
% 0.76/1.22 parent0: (3063) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X,
% 0.76/1.22 Y, Z, T ), Z = T }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 T := T
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 2 ==> 2
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (83) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, T
% 0.76/1.22 , Z ), alpha12( X, Y, Z, T ) }.
% 0.76/1.22 parent0: (3068) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z
% 0.76/1.22 ), alpha12( X, Y, Z, T ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 Z := Z
% 0.76/1.22 T := T
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 2 ==> 2
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (3093) {G0,W3,D2,L1,V0,M1} { total_order( skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (3094) {G0,W4,D2,L1,V0,M1} { min( skol19, skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (110) {G0,W4,D2,L1,V0,M1} I { ! least( skol19, skol13, skol17
% 0.76/1.22 ) }.
% 0.76/1.22 parent0: (3095) {G0,W4,D2,L1,V0,M1} { ! least( skol19, skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3238) {G1,W3,D2,L1,V0,M1} { alpha2( skol13, skol17 ) }.
% 0.76/1.22 parent0[0]: (37) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), alpha2( X,
% 0.76/1.22 Y ) }.
% 0.76/1.22 parent1[0]: (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (118) {G1,W3,D2,L1,V0,M1} R(37,108) { alpha2( skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (3238) {G1,W3,D2,L1,V0,M1} { alpha2( skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3239) {G1,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.76/1.22 parent0[0]: (36) {G0,W6,D2,L2,V2,M2} I { ! total_order( X, Y ), order( X, Y
% 0.76/1.22 ) }.
% 0.76/1.22 parent1[0]: (108) {G0,W3,D2,L1,V0,M1} I { total_order( skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (120) {G1,W3,D2,L1,V0,M1} R(36,108) { order( skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (3239) {G1,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3240) {G1,W3,D2,L1,V0,M1} { alpha1( skol13, skol17 ) }.
% 0.76/1.22 parent0[0]: (0) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha1( X, Y ) }.
% 0.76/1.22 parent1[0]: (120) {G1,W3,D2,L1,V0,M1} R(36,108) { order( skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (121) {G2,W3,D2,L1,V0,M1} R(120,0) { alpha1( skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (3240) {G1,W3,D2,L1,V0,M1} { alpha1( skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3241) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.76/1.22 parent0[0]: (75) {G0,W7,D2,L2,V3,M2} I { ! min( Z, X, Y ), member( Z, Y )
% 0.76/1.22 }.
% 0.76/1.22 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := skol19
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 parent0: (3241) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3242) {G1,W4,D2,L1,V0,M1} { alpha6( skol13, skol17, skol19 )
% 0.76/1.22 }.
% 0.76/1.22 parent0[0]: (76) {G0,W8,D2,L2,V3,M2} I { ! min( Z, X, Y ), alpha6( X, Y, Z
% 0.76/1.22 ) }.
% 0.76/1.22 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := skol19
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (364) {G1,W4,D2,L1,V0,M1} R(76,109) { alpha6( skol13, skol17,
% 0.76/1.22 skol19 ) }.
% 0.76/1.22 parent0: (3242) {G1,W4,D2,L1,V0,M1} { alpha6( skol13, skol17, skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3243) {G1,W7,D2,L2,V1,M2} { ! alpha1( X, skol17 ), apply( X,
% 0.76/1.22 skol19, skol19 ) }.
% 0.76/1.22 parent0[1]: (33) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y ), ! member( Z, Y
% 0.76/1.22 ), apply( X, Z, Z ) }.
% 0.76/1.22 parent1[0]: (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := skol19
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (594) {G2,W7,D2,L2,V1,M2} R(33,131) { ! alpha1( X, skol17 ),
% 0.76/1.22 apply( X, skol19, skol19 ) }.
% 0.76/1.22 parent0: (3243) {G1,W7,D2,L2,V1,M2} { ! alpha1( X, skol17 ), apply( X,
% 0.76/1.22 skol19, skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3244) {G3,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol19 )
% 0.76/1.22 }.
% 0.76/1.22 parent0[0]: (594) {G2,W7,D2,L2,V1,M2} R(33,131) { ! alpha1( X, skol17 ),
% 0.76/1.22 apply( X, skol19, skol19 ) }.
% 0.76/1.22 parent1[0]: (121) {G2,W3,D2,L1,V0,M1} R(120,0) { alpha1( skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol13
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (605) {G3,W4,D2,L1,V0,M1} R(594,121) { apply( skol13, skol19,
% 0.76/1.22 skol19 ) }.
% 0.76/1.22 parent0: (3244) {G3,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3245) {G1,W8,D2,L2,V2,M2} { ! alpha10( skol17, X, Y ),
% 0.76/1.22 alpha16( skol13, X, Y ) }.
% 0.76/1.22 parent0[0]: (39) {G0,W11,D2,L3,V4,M3} I { ! alpha2( X, Y ), ! alpha10( Y, Z
% 0.76/1.22 , T ), alpha16( X, Z, T ) }.
% 0.76/1.22 parent1[0]: (118) {G1,W3,D2,L1,V0,M1} R(37,108) { alpha2( skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := X
% 0.76/1.22 T := Y
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (765) {G2,W8,D2,L2,V2,M2} R(39,118) { ! alpha10( skol17, X, Y
% 0.76/1.22 ), alpha16( skol13, X, Y ) }.
% 0.76/1.22 parent0: (3245) {G1,W8,D2,L2,V2,M2} { ! alpha10( skol17, X, Y ), alpha16(
% 0.76/1.22 skol13, X, Y ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3246) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha10(
% 0.76/1.22 skol17, skol19, X ) }.
% 0.76/1.22 parent0[0]: (47) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.76/1.22 ), alpha10( X, Y, Z ) }.
% 0.76/1.22 parent1[0]: (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol17
% 0.76/1.22 Y := skol19
% 0.76/1.22 Z := X
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (862) {G2,W7,D2,L2,V1,M2} R(47,131) { ! member( X, skol17 ),
% 0.76/1.22 alpha10( skol17, skol19, X ) }.
% 0.76/1.22 parent0: (3246) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha10(
% 0.76/1.22 skol17, skol19, X ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 1 ==> 1
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3248) {G3,W7,D2,L2,V1,M2} { alpha16( skol13, skol19, X ), !
% 0.76/1.22 member( X, skol17 ) }.
% 0.76/1.22 parent0[0]: (765) {G2,W8,D2,L2,V2,M2} R(39,118) { ! alpha10( skol17, X, Y )
% 0.76/1.22 , alpha16( skol13, X, Y ) }.
% 0.76/1.22 parent1[1]: (862) {G2,W7,D2,L2,V1,M2} R(47,131) { ! member( X, skol17 ),
% 0.76/1.22 alpha10( skol17, skol19, X ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol19
% 0.76/1.22 Y := X
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := X
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (867) {G3,W7,D2,L2,V1,M2} R(862,765) { ! member( X, skol17 ),
% 0.76/1.22 alpha16( skol13, skol19, X ) }.
% 0.76/1.22 parent0: (3248) {G3,W7,D2,L2,V1,M2} { alpha16( skol13, skol19, X ), !
% 0.76/1.22 member( X, skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 1
% 0.76/1.22 1 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3249) {G1,W7,D2,L2,V0,M2} { ! member( skol19, skol17 ), !
% 0.76/1.22 alpha4( skol13, skol17, skol19 ) }.
% 0.76/1.22 parent0[0]: (110) {G0,W4,D2,L1,V0,M1} I { ! least( skol19, skol13, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 parent1[2]: (62) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha4( X, Y
% 0.76/1.22 , Z ), least( Z, X, Y ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := skol19
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3250) {G2,W4,D2,L1,V0,M1} { ! alpha4( skol13, skol17, skol19
% 0.76/1.22 ) }.
% 0.76/1.22 parent0[0]: (3249) {G1,W7,D2,L2,V0,M2} { ! member( skol19, skol17 ), !
% 0.76/1.22 alpha4( skol13, skol17, skol19 ) }.
% 0.76/1.22 parent1[0]: (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (1316) {G2,W4,D2,L1,V0,M1} R(62,110);r(131) { ! alpha4( skol13
% 0.76/1.22 , skol17, skol19 ) }.
% 0.76/1.22 parent0: (3250) {G2,W4,D2,L1,V0,M1} { ! alpha4( skol13, skol17, skol19 )
% 0.76/1.22 }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3251) {G1,W6,D3,L1,V2,M1} { member( skol8( X, skol17, Y ),
% 0.76/1.22 skol17 ) }.
% 0.76/1.22 parent0[0]: (1316) {G2,W4,D2,L1,V0,M1} R(62,110);r(131) { ! alpha4( skol13
% 0.76/1.22 , skol17, skol19 ) }.
% 0.76/1.22 parent1[1]: (64) {G0,W10,D3,L2,V5,M2} I { member( skol8( T, Y, U ), Y ),
% 0.76/1.22 alpha4( X, Y, Z ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := skol19
% 0.76/1.22 T := X
% 0.76/1.22 U := Y
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (1370) {G3,W6,D3,L1,V2,M1} R(64,1316) { member( skol8( X,
% 0.76/1.22 skol17, Y ), skol17 ) }.
% 0.76/1.22 parent0: (3251) {G1,W6,D3,L1,V2,M1} { member( skol8( X, skol17, Y ),
% 0.76/1.22 skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3252) {G4,W7,D3,L1,V2,M1} { alpha16( skol13, skol19, skol8( X
% 0.76/1.22 , skol17, Y ) ) }.
% 0.76/1.22 parent0[0]: (867) {G3,W7,D2,L2,V1,M2} R(862,765) { ! member( X, skol17 ),
% 0.76/1.22 alpha16( skol13, skol19, X ) }.
% 0.76/1.22 parent1[0]: (1370) {G3,W6,D3,L1,V2,M1} R(64,1316) { member( skol8( X,
% 0.76/1.22 skol17, Y ), skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol8( X, skol17, Y )
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (1410) {G4,W7,D3,L1,V2,M1} R(1370,867) { alpha16( skol13,
% 0.76/1.22 skol19, skol8( X, skol17, Y ) ) }.
% 0.76/1.22 parent0: (3252) {G4,W7,D3,L1,V2,M1} { alpha16( skol13, skol19, skol8( X,
% 0.76/1.22 skol17, Y ) ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 Y := Y
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3253) {G1,W7,D3,L1,V0,M1} { ! apply( skol13, skol19, skol8(
% 0.76/1.22 skol13, skol17, skol19 ) ) }.
% 0.76/1.22 parent0[0]: (1316) {G2,W4,D2,L1,V0,M1} R(62,110);r(131) { ! alpha4( skol13
% 0.76/1.22 , skol17, skol19 ) }.
% 0.76/1.22 parent1[1]: (65) {G0,W11,D3,L2,V3,M2} I { ! apply( X, Z, skol8( X, Y, Z ) )
% 0.76/1.22 , alpha4( X, Y, Z ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := skol19
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (1441) {G3,W7,D3,L1,V0,M1} R(65,1316) { ! apply( skol13,
% 0.76/1.22 skol19, skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 parent0: (3253) {G1,W7,D3,L1,V0,M1} { ! apply( skol13, skol19, skol8(
% 0.76/1.22 skol13, skol17, skol19 ) ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3254) {G1,W14,D3,L2,V0,M2} { ! alpha16( skol13, skol19, skol8
% 0.76/1.22 ( skol13, skol17, skol19 ) ), apply( skol13, skol8( skol13, skol17,
% 0.76/1.22 skol19 ), skol19 ) }.
% 0.76/1.22 parent0[0]: (1441) {G3,W7,D3,L1,V0,M1} R(65,1316) { ! apply( skol13, skol19
% 0.76/1.22 , skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 parent1[1]: (42) {G0,W12,D2,L3,V3,M3} I { ! alpha16( X, Y, Z ), apply( X, Y
% 0.76/1.22 , Z ), apply( X, Z, Y ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol19
% 0.76/1.22 Z := skol8( skol13, skol17, skol19 )
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3256) {G2,W7,D3,L1,V0,M1} { apply( skol13, skol8( skol13,
% 0.76/1.22 skol17, skol19 ), skol19 ) }.
% 0.76/1.22 parent0[0]: (3254) {G1,W14,D3,L2,V0,M2} { ! alpha16( skol13, skol19, skol8
% 0.76/1.22 ( skol13, skol17, skol19 ) ), apply( skol13, skol8( skol13, skol17,
% 0.76/1.22 skol19 ), skol19 ) }.
% 0.76/1.22 parent1[0]: (1410) {G4,W7,D3,L1,V2,M1} R(1370,867) { alpha16( skol13,
% 0.76/1.22 skol19, skol8( X, skol17, Y ) ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol19
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (1500) {G5,W7,D3,L1,V0,M1} R(1441,42);r(1410) { apply( skol13
% 0.76/1.22 , skol8( skol13, skol17, skol19 ), skol19 ) }.
% 0.76/1.22 parent0: (3256) {G2,W7,D3,L1,V0,M1} { apply( skol13, skol8( skol13, skol17
% 0.76/1.22 , skol19 ), skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 eqswap: (3257) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha6( Z, T, X ), !
% 0.76/1.22 alpha12( Z, T, X, Y ) }.
% 0.76/1.22 parent0[2]: (78) {G0,W12,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! alpha12( X
% 0.76/1.22 , Y, Z, T ), Z = T }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := Z
% 0.76/1.22 Y := T
% 0.76/1.22 Z := X
% 0.76/1.22 T := Y
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3258) {G1,W8,D2,L2,V1,M2} { X = skol19, ! alpha12( skol13,
% 0.76/1.22 skol17, skol19, X ) }.
% 0.76/1.22 parent0[1]: (3257) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha6( Z, T, X ), !
% 0.76/1.22 alpha12( Z, T, X, Y ) }.
% 0.76/1.22 parent1[0]: (364) {G1,W4,D2,L1,V0,M1} R(76,109) { alpha6( skol13, skol17,
% 0.76/1.22 skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol19
% 0.76/1.22 Y := X
% 0.76/1.22 Z := skol13
% 0.76/1.22 T := skol17
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 eqswap: (3259) {G1,W8,D2,L2,V1,M2} { skol19 = X, ! alpha12( skol13, skol17
% 0.76/1.22 , skol19, X ) }.
% 0.76/1.22 parent0[0]: (3258) {G1,W8,D2,L2,V1,M2} { X = skol19, ! alpha12( skol13,
% 0.76/1.22 skol17, skol19, X ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (1775) {G2,W8,D2,L2,V1,M2} R(78,364) { ! alpha12( skol13,
% 0.76/1.22 skol17, skol19, X ), skol19 = X }.
% 0.76/1.22 parent0: (3259) {G1,W8,D2,L2,V1,M2} { skol19 = X, ! alpha12( skol13,
% 0.76/1.22 skol17, skol19, X ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 1
% 0.76/1.22 1 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 eqswap: (3260) {G2,W8,D2,L2,V1,M2} { X = skol19, ! alpha12( skol13, skol17
% 0.76/1.22 , skol19, X ) }.
% 0.76/1.22 parent0[1]: (1775) {G2,W8,D2,L2,V1,M2} R(78,364) { ! alpha12( skol13,
% 0.76/1.22 skol17, skol19, X ), skol19 = X }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := X
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 paramod: (3264) {G3,W12,D3,L2,V0,M2} { ! apply( skol13, skol19, skol19 ),
% 0.76/1.22 ! alpha12( skol13, skol17, skol19, skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 parent0[0]: (3260) {G2,W8,D2,L2,V1,M2} { X = skol19, ! alpha12( skol13,
% 0.76/1.22 skol17, skol19, X ) }.
% 0.76/1.22 parent1[0; 4]: (1441) {G3,W7,D3,L1,V0,M1} R(65,1316) { ! apply( skol13,
% 0.76/1.22 skol19, skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 X := skol8( skol13, skol17, skol19 )
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3446) {G4,W8,D3,L1,V0,M1} { ! alpha12( skol13, skol17, skol19
% 0.76/1.22 , skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 parent0[0]: (3264) {G3,W12,D3,L2,V0,M2} { ! apply( skol13, skol19, skol19
% 0.76/1.22 ), ! alpha12( skol13, skol17, skol19, skol8( skol13, skol17, skol19 ) )
% 0.76/1.22 }.
% 0.76/1.22 parent1[0]: (605) {G3,W4,D2,L1,V0,M1} R(594,121) { apply( skol13, skol19,
% 0.76/1.22 skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (2624) {G4,W8,D3,L1,V0,M1} P(1775,1441);r(605) { ! alpha12(
% 0.76/1.22 skol13, skol17, skol19, skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 parent0: (3446) {G4,W8,D3,L1,V0,M1} { ! alpha12( skol13, skol17, skol19,
% 0.76/1.22 skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3447) {G1,W13,D3,L2,V0,M2} { ! member( skol8( skol13, skol17
% 0.76/1.22 , skol19 ), skol17 ), ! apply( skol13, skol8( skol13, skol17, skol19 ),
% 0.76/1.22 skol19 ) }.
% 0.76/1.22 parent0[0]: (2624) {G4,W8,D3,L1,V0,M1} P(1775,1441);r(605) { ! alpha12(
% 0.76/1.22 skol13, skol17, skol19, skol8( skol13, skol17, skol19 ) ) }.
% 0.76/1.22 parent1[2]: (83) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, T,
% 0.76/1.22 Z ), alpha12( X, Y, Z, T ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol17
% 0.76/1.22 Z := skol19
% 0.76/1.22 T := skol8( skol13, skol17, skol19 )
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3448) {G2,W7,D3,L1,V0,M1} { ! apply( skol13, skol8( skol13,
% 0.76/1.22 skol17, skol19 ), skol19 ) }.
% 0.76/1.22 parent0[0]: (3447) {G1,W13,D3,L2,V0,M2} { ! member( skol8( skol13, skol17
% 0.76/1.22 , skol19 ), skol17 ), ! apply( skol13, skol8( skol13, skol17, skol19 ),
% 0.76/1.22 skol19 ) }.
% 0.76/1.22 parent1[0]: (1370) {G3,W6,D3,L1,V2,M1} R(64,1316) { member( skol8( X,
% 0.76/1.22 skol17, Y ), skol17 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 X := skol13
% 0.76/1.22 Y := skol19
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (2982) {G5,W7,D3,L1,V0,M1} R(2624,83);r(1370) { ! apply(
% 0.76/1.22 skol13, skol8( skol13, skol17, skol19 ), skol19 ) }.
% 0.76/1.22 parent0: (3448) {G2,W7,D3,L1,V0,M1} { ! apply( skol13, skol8( skol13,
% 0.76/1.22 skol17, skol19 ), skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 0 ==> 0
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 resolution: (3449) {G6,W0,D0,L0,V0,M0} { }.
% 0.76/1.22 parent0[0]: (2982) {G5,W7,D3,L1,V0,M1} R(2624,83);r(1370) { ! apply( skol13
% 0.76/1.22 , skol8( skol13, skol17, skol19 ), skol19 ) }.
% 0.76/1.22 parent1[0]: (1500) {G5,W7,D3,L1,V0,M1} R(1441,42);r(1410) { apply( skol13,
% 0.76/1.22 skol8( skol13, skol17, skol19 ), skol19 ) }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 substitution1:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 subsumption: (2983) {G6,W0,D0,L0,V0,M0} S(2982);r(1500) { }.
% 0.76/1.22 parent0: (3449) {G6,W0,D0,L0,V0,M0} { }.
% 0.76/1.22 substitution0:
% 0.76/1.22 end
% 0.76/1.22 permutation0:
% 0.76/1.22 end
% 0.76/1.22
% 0.76/1.22 Proof check complete!
% 0.76/1.22
% 0.76/1.22 Memory use:
% 0.76/1.22
% 0.76/1.22 space for terms: 41156
% 0.76/1.22 space for clauses: 142809
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 clauses generated: 9848
% 0.76/1.22 clauses kept: 2984
% 0.76/1.22 clauses selected: 483
% 0.76/1.22 clauses deleted: 1
% 0.76/1.22 clauses inuse deleted: 0
% 0.76/1.22
% 0.76/1.22 subsentry: 19784
% 0.76/1.22 literals s-matched: 15740
% 0.76/1.22 literals matched: 12556
% 0.76/1.22 full subsumption: 132
% 0.76/1.22
% 0.76/1.22 checksum: -1280766750
% 0.76/1.22
% 0.76/1.22
% 0.76/1.23 Bliksem ended
%------------------------------------------------------------------------------