TSTP Solution File: SET792+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 0.73s 1.16s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.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 05:44:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09
% 0.70/1.09 { ! order( X, Y ), alpha1( X, Y ) }.
% 0.70/1.09 { ! order( X, Y ), alpha9( X, Y ) }.
% 0.70/1.09 { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X, Y ) }.
% 0.70/1.09 { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.70/1.09 { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.70/1.09 { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9( X, Y ) }.
% 0.70/1.09 { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.70/1.09 { alpha23( Y, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X,
% 0.70/1.09 Y ) }.
% 0.70/1.09 { ! alpha25( X, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.70/1.09 { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.70/1.09 { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.70/1.09 { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.70/1.09 { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.70/1.09 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.70/1.09 { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.70/1.09 { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T ) }.
% 0.70/1.09 { ! member( Y, X ), ! alpha21( X, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.70/1.09 { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.70/1.09 { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.70/1.09 { ! member( Y, X ), ! member( Z, X ), alpha21( X, Y, Z ) }.
% 0.70/1.09 { ! alpha15( X, Y ), ! alpha20( Y, Z, T ), alpha22( X, Z, T ) }.
% 0.70/1.09 { alpha20( Y, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.70/1.09 { ! alpha22( X, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.70/1.09 { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y = Z }.
% 0.70/1.09 { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.70/1.09 { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.70/1.09 { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.70/1.09 { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.70/1.09 { ! apply( X, Y, Z ), ! apply( X, Z, Y ), alpha24( X, Y, Z ) }.
% 0.70/1.09 { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.70/1.09 { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.70/1.09 { ! member( Y, X ), ! member( Z, X ), alpha20( X, Y, Z ) }.
% 0.70/1.09 { ! alpha1( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.70/1.09 { member( skol3( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.70/1.09 { ! apply( X, skol3( X, Y ), skol3( X, Y ) ), alpha1( X, Y ) }.
% 0.70/1.09 { ! total_order( X, Y ), order( X, Y ) }.
% 0.70/1.09 { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.70/1.09 { ! order( X, Y ), ! alpha2( X, Y ), total_order( X, Y ) }.
% 0.70/1.09 { ! alpha2( X, Y ), ! alpha10( Y, Z, T ), alpha16( X, Z, T ) }.
% 0.70/1.09 { alpha10( Y, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.70/1.09 { ! alpha16( X, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.70/1.09 { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.70/1.09 { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.70/1.09 { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.70/1.09 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.70/1.09 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.70/1.09 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.70/1.09 { ! upper_bound( Z, X, Y ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.70/1.09 { member( skol5( T, Y, U ), Y ), upper_bound( Z, X, Y ) }.
% 0.70/1.09 { ! apply( X, skol5( X, Y, Z ), Z ), upper_bound( Z, X, Y ) }.
% 0.70/1.09 { ! lower_bound( Z, X, Y ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.70/1.09 { member( skol6( T, Y, U ), Y ), lower_bound( Z, X, Y ) }.
% 0.70/1.09 { ! apply( X, Z, skol6( X, Y, Z ) ), lower_bound( Z, X, Y ) }.
% 0.70/1.09 { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.70/1.09 { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.70/1.09 { ! member( Z, Y ), ! alpha3( X, Y, Z ), greatest( Z, X, Y ) }.
% 0.70/1.09 { ! alpha3( X, Y, Z ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.70/1.09 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.70/1.09 { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X, Y, Z ) }.
% 0.70/1.09 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.70/1.09 { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.70/1.09 { ! member( Z, Y ), ! alpha4( X, Y, Z ), least( Z, X, Y ) }.
% 0.70/1.09 { ! alpha4( X, Y, Z ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.70/1.09 { member( skol8( T, Y, U ), Y ), alpha4( X, Y, Z ) }.
% 0.70/1.09 { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.70/1.09 { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.70/1.09 { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.70/1.09 { ! member( Z, Y ), ! alpha5( X, Y, Z ), max( Z, X, Y ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T ), Z = T }.
% 0.70/1.09 { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z ) }.
% 0.70/1.09 { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.70/1.09 { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.73/1.16 { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.73/1.16 { ! member( T, Y ), ! apply( X, Z, T ), alpha11( X, Y, Z, T ) }.
% 0.73/1.16 { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.16 { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.73/1.16 { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z, X, Y ) }.
% 0.73/1.16 { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T ), Z = T }.
% 0.73/1.16 { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z ) }.
% 0.73/1.16 { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 0.73/1.16 { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.73/1.16 { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.73/1.16 { ! member( T, Y ), ! apply( X, T, Z ), alpha12( X, Y, Z, T ) }.
% 0.73/1.16 { ! least_upper_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.73/1.16 { ! least_upper_bound( X, Y, Z, T ), alpha7( X, Y, Z, T ) }.
% 0.73/1.16 { ! member( X, Y ), ! alpha7( X, Y, Z, T ), least_upper_bound( X, Y, Z, T )
% 0.73/1.16 }.
% 0.73/1.16 { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y ) }.
% 0.73/1.16 { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.73/1.16 { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z, T ), alpha7( X, Y, Z, T ) }
% 0.73/1.16 .
% 0.73/1.16 { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T, U ), apply( Z, X, U ) }.
% 0.73/1.16 { ! apply( Z, X, skol11( X, U, Z, W ) ), alpha13( X, Y, Z, T ) }.
% 0.73/1.16 { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ), alpha13( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.73/1.16 { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X ) }.
% 0.73/1.16 { ! member( T, Z ), ! upper_bound( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 0.73/1.16 { ! greatest_lower_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.73/1.16 { ! greatest_lower_bound( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 0.73/1.16 { ! member( X, Y ), ! alpha8( X, Y, Z, T ), greatest_lower_bound( X, Y, Z,
% 0.73/1.16 T ) }.
% 0.73/1.16 { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y ) }.
% 0.73/1.16 { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T ) }.
% 0.73/1.16 { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z, T ), alpha8( X, Y, Z, T ) }
% 0.73/1.16 .
% 0.73/1.16 { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T, U ), apply( Z, U, X ) }.
% 0.73/1.16 { ! apply( Z, skol12( X, U, Z, W ), X ), alpha14( X, Y, Z, T ) }.
% 0.73/1.16 { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ), alpha14( X, Y, Z, T ) }.
% 0.73/1.16 { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.73/1.16 { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X ) }.
% 0.73/1.16 { ! member( T, Z ), ! lower_bound( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 0.73/1.16 { order( skol13, skol17 ) }.
% 0.73/1.16 { least( skol19, skol13, skol17 ) }.
% 0.73/1.16 { ! min( skol19, skol13, skol17 ) }.
% 0.73/1.16
% 0.73/1.16 percentage equality = 0.023529, percentage horn = 0.864865
% 0.73/1.16 This is a problem with some equality
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Options Used:
% 0.73/1.16
% 0.73/1.16 useres = 1
% 0.73/1.16 useparamod = 1
% 0.73/1.16 useeqrefl = 1
% 0.73/1.16 useeqfact = 1
% 0.73/1.16 usefactor = 1
% 0.73/1.16 usesimpsplitting = 0
% 0.73/1.16 usesimpdemod = 5
% 0.73/1.16 usesimpres = 3
% 0.73/1.16
% 0.73/1.16 resimpinuse = 1000
% 0.73/1.16 resimpclauses = 20000
% 0.73/1.16 substype = eqrewr
% 0.73/1.16 backwardsubs = 1
% 0.73/1.16 selectoldest = 5
% 0.73/1.16
% 0.73/1.16 litorderings [0] = split
% 0.73/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.16
% 0.73/1.16 termordering = kbo
% 0.73/1.16
% 0.73/1.16 litapriori = 0
% 0.73/1.16 termapriori = 1
% 0.73/1.16 litaposteriori = 0
% 0.73/1.16 termaposteriori = 0
% 0.73/1.16 demodaposteriori = 0
% 0.73/1.16 ordereqreflfact = 0
% 0.73/1.16
% 0.73/1.16 litselect = negord
% 0.73/1.16
% 0.73/1.16 maxweight = 15
% 0.73/1.16 maxdepth = 30000
% 0.73/1.16 maxlength = 115
% 0.73/1.16 maxnrvars = 195
% 0.73/1.16 excuselevel = 1
% 0.73/1.16 increasemaxweight = 1
% 0.73/1.16
% 0.73/1.16 maxselected = 10000000
% 0.73/1.16 maxnrclauses = 10000000
% 0.73/1.16
% 0.73/1.16 showgenerated = 0
% 0.73/1.16 showkept = 0
% 0.73/1.16 showselected = 0
% 0.73/1.16 showdeleted = 0
% 0.73/1.16 showresimp = 1
% 0.73/1.16 showstatus = 2000
% 0.73/1.16
% 0.73/1.16 prologoutput = 0
% 0.73/1.16 nrgoals = 5000000
% 0.73/1.16 totalproof = 1
% 0.73/1.16
% 0.73/1.16 Symbols occurring in the translation:
% 0.73/1.16
% 0.73/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.16 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.16 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.73/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 order [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.16 member [39, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.16 apply [40, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.73/1.16 total_order [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.16 upper_bound [45, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.73/1.16 lower_bound [46, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.73/1.16 greatest [47, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.73/1.16 least [48, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.73/1.16 max [49, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.73/1.16 min [50, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.73/1.16 least_upper_bound [52, 4] (w:1, o:84, a:1, s:1, b:0),
% 0.73/1.16 greatest_lower_bound [53, 4] (w:1, o:85, a:1, s:1, b:0),
% 0.73/1.16 alpha1 [54, 2] (w:1, o:56, a:1, s:1, b:1),
% 0.73/1.16 alpha2 [55, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.73/1.16 alpha3 [56, 3] (w:1, o:72, a:1, s:1, b:1),
% 0.73/1.16 alpha4 [57, 3] (w:1, o:73, a:1, s:1, b:1),
% 0.73/1.16 alpha5 [58, 3] (w:1, o:74, a:1, s:1, b:1),
% 0.73/1.16 alpha6 [59, 3] (w:1, o:75, a:1, s:1, b:1),
% 0.73/1.16 alpha7 [60, 4] (w:1, o:86, a:1, s:1, b:1),
% 0.73/1.16 alpha8 [61, 4] (w:1, o:87, a:1, s:1, b:1),
% 0.73/1.16 alpha9 [62, 2] (w:1, o:60, a:1, s:1, b:1),
% 0.73/1.16 alpha10 [63, 3] (w:1, o:76, a:1, s:1, b:1),
% 0.73/1.16 alpha11 [64, 4] (w:1, o:88, a:1, s:1, b:1),
% 0.73/1.16 alpha12 [65, 4] (w:1, o:89, a:1, s:1, b:1),
% 0.73/1.16 alpha13 [66, 4] (w:1, o:90, a:1, s:1, b:1),
% 0.73/1.16 alpha14 [67, 4] (w:1, o:91, a:1, s:1, b:1),
% 0.73/1.16 alpha15 [68, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.73/1.16 alpha16 [69, 3] (w:1, o:77, a:1, s:1, b:1),
% 0.73/1.16 alpha17 [70, 4] (w:1, o:92, a:1, s:1, b:1),
% 0.73/1.16 alpha18 [71, 4] (w:1, o:93, a:1, s:1, b:1),
% 0.73/1.16 alpha19 [72, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.73/1.16 alpha20 [73, 3] (w:1, o:68, a:1, s:1, b:1),
% 0.73/1.16 alpha21 [74, 3] (w:1, o:69, a:1, s:1, b:1),
% 0.73/1.16 alpha22 [75, 3] (w:1, o:70, a:1, s:1, b:1),
% 0.73/1.16 alpha23 [76, 4] (w:1, o:94, a:1, s:1, b:1),
% 0.73/1.16 alpha24 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 0.73/1.16 alpha25 [78, 4] (w:1, o:95, a:1, s:1, b:1),
% 0.73/1.16 alpha26 [79, 4] (w:1, o:96, a:1, s:1, b:1),
% 0.73/1.16 skol1 [80, 2] (w:1, o:47, a:1, s:1, b:1),
% 0.73/1.16 skol2 [81, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.73/1.16 skol3 [82, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.73/1.16 skol4 [83, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.73/1.16 skol5 [84, 3] (w:1, o:78, a:1, s:1, b:1),
% 0.73/1.16 skol6 [85, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.73/1.16 skol7 [86, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.73/1.16 skol8 [87, 3] (w:1, o:81, a:1, s:1, b:1),
% 0.73/1.16 skol9 [88, 3] (w:1, o:82, a:1, s:1, b:1),
% 0.73/1.16 skol10 [89, 3] (w:1, o:83, a:1, s:1, b:1),
% 0.73/1.16 skol11 [90, 4] (w:1, o:97, a:1, s:1, b:1),
% 0.73/1.16 skol12 [91, 4] (w:1, o:98, a:1, s:1, b:1),
% 0.73/1.16 skol13 [92, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.73/1.16 skol14 [93, 2] (w:1, o:48, a:1, s:1, b:1),
% 0.73/1.16 skol15 [94, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.73/1.16 skol16 [95, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.73/1.16 skol17 [96, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.73/1.16 skol18 [97, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.73/1.16 skol19 [98, 0] (w:1, o:15, a:1, s:1, b:1).
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Starting Search:
% 0.73/1.16
% 0.73/1.16 *** allocated 15000 integers for clauses
% 0.73/1.16 *** allocated 22500 integers for clauses
% 0.73/1.16 *** allocated 33750 integers for clauses
% 0.73/1.16 *** allocated 15000 integers for termspace/termends
% 0.73/1.16 *** allocated 50625 integers for clauses
% 0.73/1.16 Resimplifying inuse:
% 0.73/1.16 Done
% 0.73/1.16
% 0.73/1.16 *** allocated 22500 integers for termspace/termends
% 0.73/1.16 *** allocated 75937 integers for clauses
% 0.73/1.16 *** allocated 33750 integers for termspace/termends
% 0.73/1.16 *** allocated 113905 integers for clauses
% 0.73/1.16
% 0.73/1.16 Intermediate Status:
% 0.73/1.16 Generated: 5107
% 0.73/1.16 Kept: 2001
% 0.73/1.16 Inuse: 299
% 0.73/1.16 Deleted: 0
% 0.73/1.16 Deletedinuse: 0
% 0.73/1.16
% 0.73/1.16 Resimplifying inuse:
% 0.73/1.16 Done
% 0.73/1.16
% 0.73/1.16 *** allocated 50625 integers for termspace/termends
% 0.73/1.16 *** allocated 170857 integers for clauses
% 0.73/1.16
% 0.73/1.16 Bliksems!, er is een bewijs:
% 0.73/1.16 % SZS status Theorem
% 0.73/1.16 % SZS output start Refutation
% 0.73/1.16
% 0.73/1.16 (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y ) }.
% 0.73/1.16 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.73/1.16 (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.73/1.16 alpha22( X, Z, T ) }.
% 0.73/1.16 (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y
% 0.73/1.16 = Z }.
% 0.73/1.16 (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.73/1.16 alpha24( X, Y, Z ) }.
% 0.73/1.16 (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X ), alpha20(
% 0.73/1.16 X, Y, Z ) }.
% 0.73/1.16 (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.16 (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.73/1.16 (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 0.73/1.16 ( X, Z, T ) }.
% 0.73/1.16 (77) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z
% 0.73/1.16 , X, Y ) }.
% 0.73/1.16 (79) {G0,W10,D3,L2,V5,M2} I { ! skol10( T, U, Z ) ==> Z, alpha6( X, Y, Z )
% 0.73/1.16 }.
% 0.73/1.16 (80) {G0,W12,D3,L2,V3,M2} I { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6
% 0.73/1.16 ( X, Y, Z ) }.
% 0.73/1.16 (81) {G0,W8,D2,L2,V4,M2} I { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.73/1.16 (82) {G0,W9,D2,L2,V4,M2} I { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.73/1.16 (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.73/1.16 (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 ) }.
% 0.73/1.16 (110) {G0,W4,D2,L1,V0,M1} I { ! min( skol19, skol13, skol17 ) }.
% 0.73/1.16 (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 ) }.
% 0.73/1.16 (126) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 ) }.
% 0.73/1.16 (129) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 ) }.
% 0.73/1.16 (345) {G3,W8,D2,L2,V2,M2} R(21,126) { ! alpha20( skol17, X, Y ), alpha22(
% 0.73/1.16 skol13, X, Y ) }.
% 0.73/1.16 (362) {G1,W4,D2,L1,V0,M1} R(61,109) { alpha4( skol13, skol17, skol19 ) }.
% 0.73/1.16 (471) {G2,W7,D2,L2,V1,M2} R(32,129) { ! member( X, skol17 ), alpha20(
% 0.73/1.16 skol17, skol19, X ) }.
% 0.73/1.16 (479) {G4,W7,D2,L2,V1,M2} R(471,345) { ! member( X, skol17 ), alpha22(
% 0.73/1.16 skol13, skol19, X ) }.
% 0.73/1.16 (1306) {G2,W7,D2,L2,V1,M2} R(63,362) { ! member( X, skol17 ), apply( skol13
% 0.73/1.16 , skol19, X ) }.
% 0.73/1.16 (1781) {G2,W4,D2,L1,V0,M1} R(77,110);r(129) { ! alpha6( skol13, skol17,
% 0.73/1.16 skol19 ) }.
% 0.73/1.16 (1861) {G3,W6,D3,L1,V2,M1} R(79,1781) { ! skol10( X, Y, skol19 ) ==> skol19
% 0.73/1.16 }.
% 0.73/1.16 (1886) {G3,W8,D3,L1,V0,M1} R(80,1781) { alpha12( skol13, skol17, skol19,
% 0.73/1.16 skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.16 (2573) {G4,W7,D3,L1,V0,M1} R(1886,82) { apply( skol13, skol10( skol13,
% 0.73/1.16 skol17, skol19 ), skol19 ) }.
% 0.73/1.16 (2574) {G4,W6,D3,L1,V0,M1} R(1886,81) { member( skol10( skol13, skol17,
% 0.73/1.16 skol19 ), skol17 ) }.
% 0.73/1.16 (2591) {G5,W7,D3,L1,V0,M1} R(2574,1306) { apply( skol13, skol19, skol10(
% 0.73/1.16 skol13, skol17, skol19 ) ) }.
% 0.73/1.16 (2609) {G5,W7,D3,L1,V0,M1} R(2574,479) { alpha22( skol13, skol19, skol10(
% 0.73/1.16 skol13, skol17, skol19 ) ) }.
% 0.73/1.16 (2670) {G6,W7,D3,L1,V0,M1} R(2591,29);r(2573) { alpha24( skol13, skol19,
% 0.73/1.16 skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.16 (2678) {G7,W6,D3,L1,V0,M1} R(2670,24);r(2609) { skol10( skol13, skol17,
% 0.73/1.16 skol19 ) ==> skol19 }.
% 0.73/1.16 (2679) {G8,W0,D0,L0,V0,M0} S(2678);r(1861) { }.
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 % SZS output end Refutation
% 0.73/1.16 found a proof!
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Unprocessed initial clauses:
% 0.73/1.16
% 0.73/1.16 (2681) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 0.73/1.16 (2682) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.73/1.16 (2683) {G0,W9,D2,L3,V2,M3} { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X
% 0.73/1.16 , Y ) }.
% 0.73/1.16 (2684) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.73/1.16 (2685) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.73/1.16 (2686) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9
% 0.73/1.16 ( X, Y ) }.
% 0.73/1.16 (2687) {G0,W13,D2,L3,V5,M3} { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ),
% 0.73/1.16 alpha25( X, Z, T, U ) }.
% 0.73/1.16 (2688) {G0,W14,D3,L2,V2,M2} { alpha23( Y, skol1( X, Y ), skol14( X, Y ),
% 0.73/1.16 skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.73/1.16 (2689) {G0,W14,D3,L2,V2,M2} { ! alpha25( X, skol1( X, Y ), skol14( X, Y )
% 0.73/1.16 , skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.73/1.16 (2690) {G0,W14,D2,L3,V4,M3} { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z
% 0.73/1.16 , T ), apply( X, Y, T ) }.
% 0.73/1.16 (2691) {G0,W10,D2,L2,V4,M2} { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T )
% 0.73/1.16 }.
% 0.73/1.16 (2692) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.16 (2693) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.73/1.16 (2694) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.73/1.16 (2695) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 0.73/1.16 alpha26( X, Y, Z, T ) }.
% 0.73/1.16 (2696) {G0,W8,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.73/1.16 (2697) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T )
% 0.73/1.16 }.
% 0.73/1.16 (2698) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha21( X, Z, T ),
% 0.73/1.16 alpha23( X, Y, Z, T ) }.
% 0.73/1.16 (2699) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.73/1.16 (2700) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.73/1.16 (2701) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha21
% 0.73/1.16 ( X, Y, Z ) }.
% 0.73/1.16 (2702) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.73/1.16 alpha22( X, Z, T ) }.
% 0.73/1.16 (2703) {G0,W11,D3,L2,V2,M2} { alpha20( Y, skol2( X, Y ), skol15( X, Y ) )
% 0.73/1.16 , alpha15( X, Y ) }.
% 0.73/1.16 (2704) {G0,W11,D3,L2,V2,M2} { ! alpha22( X, skol2( X, Y ), skol15( X, Y )
% 0.73/1.16 ), alpha15( X, Y ) }.
% 0.73/1.16 (2705) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ),
% 0.73/1.16 Y = Z }.
% 0.73/1.16 (2706) {G0,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.73/1.16 (2707) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.73/1.16 (2708) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.73/1.16 (2709) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.73/1.16 (2710) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.73/1.16 alpha24( X, Y, Z ) }.
% 0.73/1.16 (2711) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.73/1.16 (2712) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.73/1.16 (2713) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha20
% 0.73/1.16 ( X, Y, Z ) }.
% 0.73/1.16 (2714) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y ), apply( X
% 0.73/1.16 , Z, Z ) }.
% 0.73/1.16 (2715) {G0,W8,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), alpha1( X, Y )
% 0.73/1.16 }.
% 0.73/1.16 (2716) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol3( X, Y ), skol3( X, Y ) ),
% 0.73/1.16 alpha1( X, Y ) }.
% 0.73/1.16 (2717) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y ) }.
% 0.73/1.16 (2718) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.73/1.16 (2719) {G0,W9,D2,L3,V2,M3} { ! order( X, Y ), ! alpha2( X, Y ),
% 0.73/1.16 total_order( X, Y ) }.
% 0.73/1.16 (2720) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 0.73/1.16 alpha16( X, Z, T ) }.
% 0.73/1.16 (2721) {G0,W11,D3,L2,V2,M2} { alpha10( Y, skol4( X, Y ), skol16( X, Y ) )
% 0.73/1.16 , alpha2( X, Y ) }.
% 0.73/1.16 (2722) {G0,W11,D3,L2,V2,M2} { ! alpha16( X, skol4( X, Y ), skol16( X, Y )
% 0.73/1.16 ), alpha2( X, Y ) }.
% 0.73/1.16 (2723) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y, Z ),
% 0.73/1.16 apply( X, Z, Y ) }.
% 0.73/1.16 (2724) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.73/1.16 (2725) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.73/1.16 (2726) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.73/1.16 (2727) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.73/1.16 (2728) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 0.73/1.16 ( X, Y, Z ) }.
% 0.73/1.16 (2729) {G0,W11,D2,L3,V4,M3} { ! upper_bound( Z, X, Y ), ! member( T, Y ),
% 0.73/1.16 apply( X, T, Z ) }.
% 0.73/1.16 (2730) {G0,W10,D3,L2,V5,M2} { member( skol5( T, Y, U ), Y ), upper_bound(
% 0.73/1.16 Z, X, Y ) }.
% 0.73/1.16 (2731) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol5( X, Y, Z ), Z ),
% 0.73/1.16 upper_bound( Z, X, Y ) }.
% 0.73/1.16 (2732) {G0,W11,D2,L3,V4,M3} { ! lower_bound( Z, X, Y ), ! member( T, Y ),
% 0.73/1.16 apply( X, Z, T ) }.
% 0.73/1.16 (2733) {G0,W10,D3,L2,V5,M2} { member( skol6( T, Y, U ), Y ), lower_bound(
% 0.73/1.16 Z, X, Y ) }.
% 0.73/1.16 (2734) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol6( X, Y, Z ) ),
% 0.73/1.16 lower_bound( Z, X, Y ) }.
% 0.73/1.16 (2735) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.16 (2736) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.73/1.16 (2737) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 0.73/1.16 greatest( Z, X, Y ) }.
% 0.73/1.16 (2738) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ), apply
% 0.73/1.16 ( X, T, Z ) }.
% 0.73/1.16 (2739) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 0.73/1.16 , Z ) }.
% 0.73/1.16 (2740) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X
% 0.73/1.16 , Y, Z ) }.
% 0.73/1.16 (2741) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.16 (2742) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.73/1.16 (2743) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z ), least
% 0.73/1.16 ( Z, X, Y ) }.
% 0.73/1.16 (2744) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 0.73/1.16 ( X, Z, T ) }.
% 0.73/1.16 (2745) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ), alpha4( X, Y
% 0.73/1.16 , Z ) }.
% 0.73/1.16 (2746) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X
% 0.73/1.16 , Y, Z ) }.
% 0.73/1.16 (2747) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.16 (2748) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.73/1.16 (2749) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha5( X, Y, Z ), max(
% 0.73/1.16 Z, X, Y ) }.
% 0.73/1.16 (2750) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T )
% 0.73/1.16 , Z = T }.
% 0.73/1.16 (2751) {G0,W10,D3,L2,V5,M2} { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z )
% 0.73/1.16 }.
% 0.73/1.16 (2752) {G0,W12,D3,L2,V3,M2} { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5
% 0.73/1.16 ( X, Y, Z ) }.
% 0.73/1.16 (2753) {G0,W8,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.73/1.16 (2754) {G0,W9,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.73/1.16 (2755) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 0.73/1.16 alpha11( X, Y, Z, T ) }.
% 0.73/1.16 (2756) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.73/1.16 (2757) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.73/1.16 (2758) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z ), min(
% 0.73/1.16 Z, X, Y ) }.
% 0.73/1.16 (2759) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T )
% 0.73/1.16 , Z = T }.
% 0.73/1.16 (2760) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z )
% 0.73/1.16 }.
% 0.73/1.16 (2761) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z ) ),
% 0.73/1.16 alpha6( X, Y, Z ) }.
% 0.73/1.16 (2762) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.73/1.16 (2763) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.73/1.16 (2764) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z ),
% 0.73/1.16 alpha12( X, Y, Z, T ) }.
% 0.73/1.16 (2765) {G0,W8,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), member( X
% 0.73/1.16 , Y ) }.
% 0.73/1.16 (2766) {G0,W10,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), alpha7( X
% 0.73/1.16 , Y, Z, T ) }.
% 0.73/1.16 (2767) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha7( X, Y, Z, T ),
% 0.73/1.16 least_upper_bound( X, Y, Z, T ) }.
% 0.73/1.16 (2768) {G0,W9,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y
% 0.73/1.16 ) }.
% 0.73/1.16 (2769) {G0,W10,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T
% 0.73/1.16 ) }.
% 0.73/1.16 (2770) {G0,W14,D2,L3,V4,M3} { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z
% 0.73/1.16 , T ), alpha7( X, Y, Z, T ) }.
% 0.73/1.16 (2771) {G0,W14,D2,L3,V5,M3} { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T
% 0.73/1.16 , U ), apply( Z, X, U ) }.
% 0.73/1.16 (2772) {G0,W13,D3,L2,V6,M2} { ! apply( Z, X, skol11( X, U, Z, W ) ),
% 0.73/1.16 alpha13( X, Y, Z, T ) }.
% 0.73/1.16 (2773) {G0,W14,D3,L2,V4,M2} { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ),
% 0.73/1.16 alpha13( X, Y, Z, T ) }.
% 0.73/1.16 (2774) {G0,W8,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.73/1.16 (2775) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X
% 0.73/1.16 ) }.
% 0.73/1.16 (2776) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! upper_bound( T, Y, X ),
% 0.73/1.16 alpha17( X, Y, Z, T ) }.
% 0.73/1.16 (2777) {G0,W8,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), member
% 0.73/1.16 ( X, Y ) }.
% 0.73/1.16 (2778) {G0,W10,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), alpha8
% 0.73/1.16 ( X, Y, Z, T ) }.
% 0.73/1.16 (2779) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha8( X, Y, Z, T ),
% 0.73/1.16 greatest_lower_bound( X, Y, Z, T ) }.
% 0.73/1.16 (2780) {G0,W9,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y
% 0.73/1.16 ) }.
% 0.73/1.16 (2781) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T
% 0.73/1.16 ) }.
% 0.73/1.16 (2782) {G0,W14,D2,L3,V4,M3} { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z
% 0.73/1.16 , T ), alpha8( X, Y, Z, T ) }.
% 0.73/1.16 (2783) {G0,W14,D2,L3,V5,M3} { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T
% 0.73/1.16 , U ), apply( Z, U, X ) }.
% 0.73/1.16 (2784) {G0,W13,D3,L2,V6,M2} { ! apply( Z, skol12( X, U, Z, W ), X ),
% 0.73/1.16 alpha14( X, Y, Z, T ) }.
% 0.73/1.16 (2785) {G0,W14,D3,L2,V4,M2} { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ),
% 0.73/1.16 alpha14( X, Y, Z, T ) }.
% 0.73/1.16 (2786) {G0,W8,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.73/1.16 (2787) {G0,W9,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X
% 0.73/1.16 ) }.
% 0.73/1.16 (2788) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! lower_bound( T, Y, X ),
% 0.73/1.16 alpha18( X, Y, Z, T ) }.
% 0.73/1.16 (2789) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.73/1.16 (2790) {G0,W4,D2,L1,V0,M1} { least( skol19, skol13, skol17 ) }.
% 0.73/1.16 (2791) {G0,W4,D2,L1,V0,M1} { ! min( skol19, skol13, skol17 ) }.
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Total Proof:
% 0.73/1.16
% 0.73/1.16 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y )
% 0.73/1.16 }.
% 0.73/1.16 parent0: (2682) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y )
% 0.73/1.16 }.
% 0.73/1.16 parent0: (2684) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y )
% 0.73/1.16 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y
% 0.73/1.16 , Z, T ), alpha22( X, Z, T ) }.
% 0.73/1.16 parent0: (2702) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z
% 0.73/1.16 , T ), alpha22( X, Z, T ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 T := T
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 2 ==> 2
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24
% 0.73/1.16 ( X, Y, Z ), Y = Z }.
% 0.73/1.16 parent0: (2705) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X
% 0.73/1.16 , Y, Z ), Y = Z }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 2 ==> 2
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X,
% 0.73/1.16 Z, Y ), alpha24( X, Y, Z ) }.
% 0.73/1.16 parent0: (2710) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z,
% 0.73/1.16 Y ), alpha24( X, Y, Z ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 2 ==> 2
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.73/1.16 ), alpha20( X, Y, Z ) }.
% 0.73/1.16 parent0: (2713) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X )
% 0.73/1.16 , alpha20( X, Y, Z ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 2 ==> 2
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y
% 0.73/1.16 ) }.
% 0.73/1.16 parent0: (2741) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y )
% 0.73/1.16 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y
% 0.73/1.16 , Z ) }.
% 0.73/1.16 parent0: (2742) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z
% 0.73/1.16 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T
% 0.73/1.16 , Y ), apply( X, Z, T ) }.
% 0.73/1.16 parent0: (2744) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y
% 0.73/1.16 ), apply( X, Z, T ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 T := T
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 2 ==> 2
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (77) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha6( X, Y
% 0.73/1.16 , Z ), min( Z, X, Y ) }.
% 0.73/1.16 parent0: (2758) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z
% 0.73/1.16 ), min( Z, X, Y ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 2 ==> 2
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 eqswap: (2853) {G0,W10,D3,L2,V5,M2} { ! skol10( Y, Z, X ) = X, alpha6( T,
% 0.73/1.16 U, X ) }.
% 0.73/1.16 parent0[0]: (2760) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6
% 0.73/1.16 ( X, Y, Z ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := T
% 0.73/1.16 Y := U
% 0.73/1.16 Z := X
% 0.73/1.16 T := Y
% 0.73/1.16 U := Z
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (79) {G0,W10,D3,L2,V5,M2} I { ! skol10( T, U, Z ) ==> Z,
% 0.73/1.16 alpha6( X, Y, Z ) }.
% 0.73/1.16 parent0: (2853) {G0,W10,D3,L2,V5,M2} { ! skol10( Y, Z, X ) = X, alpha6( T
% 0.73/1.16 , U, X ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := Z
% 0.73/1.16 Y := T
% 0.73/1.16 Z := U
% 0.73/1.16 T := X
% 0.73/1.16 U := Y
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (80) {G0,W12,D3,L2,V3,M2} I { alpha12( X, Y, Z, skol10( X, Y,
% 0.73/1.16 Z ) ), alpha6( X, Y, Z ) }.
% 0.73/1.16 parent0: (2761) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z )
% 0.73/1.16 ), alpha6( X, Y, Z ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (81) {G0,W8,D2,L2,V4,M2} I { ! alpha12( X, Y, Z, T ), member(
% 0.73/1.16 T, Y ) }.
% 0.73/1.16 parent0: (2762) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T,
% 0.73/1.16 Y ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 T := T
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (82) {G0,W9,D2,L2,V4,M2} I { ! alpha12( X, Y, Z, T ), apply( X
% 0.73/1.16 , T, Z ) }.
% 0.73/1.16 parent0: (2763) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T
% 0.73/1.16 , Z ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 Y := Y
% 0.73/1.16 Z := Z
% 0.73/1.16 T := T
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.73/1.16 parent0: (2789) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 parent0: (2790) {G0,W4,D2,L1,V0,M1} { least( skol19, skol13, skol17 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (110) {G0,W4,D2,L1,V0,M1} I { ! min( skol19, skol13, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 parent0: (2791) {G0,W4,D2,L1,V0,M1} { ! min( skol19, skol13, skol17 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 resolution: (2926) {G1,W3,D2,L1,V0,M1} { alpha9( skol13, skol17 ) }.
% 0.73/1.16 parent0[0]: (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y ) }.
% 0.73/1.16 parent1[0]: (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := skol13
% 0.73/1.16 Y := skol17
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 parent0: (2926) {G1,W3,D2,L1,V0,M1} { alpha9( skol13, skol17 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 resolution: (2927) {G1,W3,D2,L1,V0,M1} { alpha15( skol13, skol17 ) }.
% 0.73/1.16 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y )
% 0.73/1.16 }.
% 0.73/1.16 parent1[0]: (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := skol13
% 0.73/1.16 Y := skol17
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (126) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 parent0: (2927) {G1,W3,D2,L1,V0,M1} { alpha15( skol13, skol17 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 resolution: (2928) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.73/1.16 parent0[0]: (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y )
% 0.73/1.16 }.
% 0.73/1.16 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := skol13
% 0.73/1.16 Y := skol17
% 0.73/1.16 Z := skol19
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (129) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 parent0: (2928) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 resolution: (2929) {G1,W8,D2,L2,V2,M2} { ! alpha20( skol17, X, Y ),
% 0.73/1.16 alpha22( skol13, X, Y ) }.
% 0.73/1.16 parent0[0]: (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y,
% 0.73/1.16 Z, T ), alpha22( X, Z, T ) }.
% 0.73/1.16 parent1[0]: (126) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 )
% 0.73/1.16 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := skol13
% 0.73/1.16 Y := skol17
% 0.73/1.16 Z := X
% 0.73/1.16 T := Y
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (345) {G3,W8,D2,L2,V2,M2} R(21,126) { ! alpha20( skol17, X, Y
% 0.73/1.16 ), alpha22( skol13, X, Y ) }.
% 0.73/1.16 parent0: (2929) {G1,W8,D2,L2,V2,M2} { ! alpha20( skol17, X, Y ), alpha22(
% 0.73/1.17 skol13, X, Y ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 1 ==> 1
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2930) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol19 )
% 0.73/1.17 }.
% 0.73/1.17 parent0[0]: (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y,
% 0.73/1.17 Z ) }.
% 0.73/1.17 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { least( skol19, skol13, skol17 )
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol17
% 0.73/1.17 Z := skol19
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (362) {G1,W4,D2,L1,V0,M1} R(61,109) { alpha4( skol13, skol17,
% 0.73/1.17 skol19 ) }.
% 0.73/1.17 parent0: (2930) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol19 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2931) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha20(
% 0.73/1.17 skol17, skol19, X ) }.
% 0.73/1.17 parent0[0]: (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.73/1.17 ), alpha20( X, Y, Z ) }.
% 0.73/1.17 parent1[0]: (129) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 )
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol17
% 0.73/1.17 Y := skol19
% 0.73/1.17 Z := X
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (471) {G2,W7,D2,L2,V1,M2} R(32,129) { ! member( X, skol17 ),
% 0.73/1.17 alpha20( skol17, skol19, X ) }.
% 0.73/1.17 parent0: (2931) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha20(
% 0.73/1.17 skol17, skol19, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 1 ==> 1
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2933) {G3,W7,D2,L2,V1,M2} { alpha22( skol13, skol19, X ), !
% 0.73/1.17 member( X, skol17 ) }.
% 0.73/1.17 parent0[0]: (345) {G3,W8,D2,L2,V2,M2} R(21,126) { ! alpha20( skol17, X, Y )
% 0.73/1.17 , alpha22( skol13, X, Y ) }.
% 0.73/1.17 parent1[1]: (471) {G2,W7,D2,L2,V1,M2} R(32,129) { ! member( X, skol17 ),
% 0.73/1.17 alpha20( skol17, skol19, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol19
% 0.73/1.17 Y := X
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (479) {G4,W7,D2,L2,V1,M2} R(471,345) { ! member( X, skol17 ),
% 0.73/1.17 alpha22( skol13, skol19, X ) }.
% 0.73/1.17 parent0: (2933) {G3,W7,D2,L2,V1,M2} { alpha22( skol13, skol19, X ), !
% 0.73/1.17 member( X, skol17 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 1
% 0.73/1.17 1 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2934) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply(
% 0.73/1.17 skol13, skol19, X ) }.
% 0.73/1.17 parent0[0]: (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T
% 0.73/1.17 , Y ), apply( X, Z, T ) }.
% 0.73/1.17 parent1[0]: (362) {G1,W4,D2,L1,V0,M1} R(61,109) { alpha4( skol13, skol17,
% 0.73/1.17 skol19 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol17
% 0.73/1.17 Z := skol19
% 0.73/1.17 T := X
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (1306) {G2,W7,D2,L2,V1,M2} R(63,362) { ! member( X, skol17 ),
% 0.73/1.17 apply( skol13, skol19, X ) }.
% 0.73/1.17 parent0: (2934) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply( skol13
% 0.73/1.17 , skol19, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 1 ==> 1
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2935) {G1,W7,D2,L2,V0,M2} { ! member( skol19, skol17 ), !
% 0.73/1.17 alpha6( skol13, skol17, skol19 ) }.
% 0.73/1.17 parent0[0]: (110) {G0,W4,D2,L1,V0,M1} I { ! min( skol19, skol13, skol17 )
% 0.73/1.17 }.
% 0.73/1.17 parent1[2]: (77) {G0,W11,D2,L3,V3,M3} I { ! member( Z, Y ), ! alpha6( X, Y
% 0.73/1.17 , Z ), min( Z, X, Y ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol17
% 0.73/1.17 Z := skol19
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2936) {G2,W4,D2,L1,V0,M1} { ! alpha6( skol13, skol17, skol19
% 0.73/1.17 ) }.
% 0.73/1.17 parent0[0]: (2935) {G1,W7,D2,L2,V0,M2} { ! member( skol19, skol17 ), !
% 0.73/1.17 alpha6( skol13, skol17, skol19 ) }.
% 0.73/1.17 parent1[0]: (129) {G1,W3,D2,L1,V0,M1} R(60,109) { member( skol19, skol17 )
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (1781) {G2,W4,D2,L1,V0,M1} R(77,110);r(129) { ! alpha6( skol13
% 0.73/1.17 , skol17, skol19 ) }.
% 0.73/1.17 parent0: (2936) {G2,W4,D2,L1,V0,M1} { ! alpha6( skol13, skol17, skol19 )
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (2937) {G0,W10,D3,L2,V5,M2} { ! Z ==> skol10( X, Y, Z ), alpha6( T
% 0.73/1.17 , U, Z ) }.
% 0.73/1.17 parent0[0]: (79) {G0,W10,D3,L2,V5,M2} I { ! skol10( T, U, Z ) ==> Z, alpha6
% 0.73/1.17 ( X, Y, Z ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := T
% 0.73/1.17 Y := U
% 0.73/1.17 Z := Z
% 0.73/1.17 T := X
% 0.73/1.17 U := Y
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2938) {G1,W6,D3,L1,V2,M1} { ! skol19 ==> skol10( X, Y, skol19
% 0.73/1.17 ) }.
% 0.73/1.17 parent0[0]: (1781) {G2,W4,D2,L1,V0,M1} R(77,110);r(129) { ! alpha6( skol13
% 0.73/1.17 , skol17, skol19 ) }.
% 0.73/1.17 parent1[1]: (2937) {G0,W10,D3,L2,V5,M2} { ! Z ==> skol10( X, Y, Z ),
% 0.73/1.17 alpha6( T, U, Z ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 Z := skol19
% 0.73/1.17 T := skol13
% 0.73/1.17 U := skol17
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (2939) {G1,W6,D3,L1,V2,M1} { ! skol10( X, Y, skol19 ) ==> skol19
% 0.73/1.17 }.
% 0.73/1.17 parent0[0]: (2938) {G1,W6,D3,L1,V2,M1} { ! skol19 ==> skol10( X, Y, skol19
% 0.73/1.17 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (1861) {G3,W6,D3,L1,V2,M1} R(79,1781) { ! skol10( X, Y, skol19
% 0.73/1.17 ) ==> skol19 }.
% 0.73/1.17 parent0: (2939) {G1,W6,D3,L1,V2,M1} { ! skol10( X, Y, skol19 ) ==> skol19
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2940) {G1,W8,D3,L1,V0,M1} { alpha12( skol13, skol17, skol19,
% 0.73/1.17 skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0[0]: (1781) {G2,W4,D2,L1,V0,M1} R(77,110);r(129) { ! alpha6( skol13
% 0.73/1.17 , skol17, skol19 ) }.
% 0.73/1.17 parent1[1]: (80) {G0,W12,D3,L2,V3,M2} I { alpha12( X, Y, Z, skol10( X, Y, Z
% 0.73/1.17 ) ), alpha6( X, Y, Z ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol17
% 0.73/1.17 Z := skol19
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (1886) {G3,W8,D3,L1,V0,M1} R(80,1781) { alpha12( skol13,
% 0.73/1.17 skol17, skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0: (2940) {G1,W8,D3,L1,V0,M1} { alpha12( skol13, skol17, skol19,
% 0.73/1.17 skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2941) {G1,W7,D3,L1,V0,M1} { apply( skol13, skol10( skol13,
% 0.73/1.17 skol17, skol19 ), skol19 ) }.
% 0.73/1.17 parent0[0]: (82) {G0,W9,D2,L2,V4,M2} I { ! alpha12( X, Y, Z, T ), apply( X
% 0.73/1.17 , T, Z ) }.
% 0.73/1.17 parent1[0]: (1886) {G3,W8,D3,L1,V0,M1} R(80,1781) { alpha12( skol13, skol17
% 0.73/1.17 , skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol17
% 0.73/1.17 Z := skol19
% 0.73/1.17 T := skol10( skol13, skol17, skol19 )
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (2573) {G4,W7,D3,L1,V0,M1} R(1886,82) { apply( skol13, skol10
% 0.73/1.17 ( skol13, skol17, skol19 ), skol19 ) }.
% 0.73/1.17 parent0: (2941) {G1,W7,D3,L1,V0,M1} { apply( skol13, skol10( skol13,
% 0.73/1.17 skol17, skol19 ), skol19 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2942) {G1,W6,D3,L1,V0,M1} { member( skol10( skol13, skol17,
% 0.73/1.17 skol19 ), skol17 ) }.
% 0.73/1.17 parent0[0]: (81) {G0,W8,D2,L2,V4,M2} I { ! alpha12( X, Y, Z, T ), member( T
% 0.73/1.17 , Y ) }.
% 0.73/1.17 parent1[0]: (1886) {G3,W8,D3,L1,V0,M1} R(80,1781) { alpha12( skol13, skol17
% 0.73/1.17 , skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol17
% 0.73/1.17 Z := skol19
% 0.73/1.17 T := skol10( skol13, skol17, skol19 )
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (2574) {G4,W6,D3,L1,V0,M1} R(1886,81) { member( skol10( skol13
% 0.73/1.17 , skol17, skol19 ), skol17 ) }.
% 0.73/1.17 parent0: (2942) {G1,W6,D3,L1,V0,M1} { member( skol10( skol13, skol17,
% 0.73/1.17 skol19 ), skol17 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2943) {G3,W7,D3,L1,V0,M1} { apply( skol13, skol19, skol10(
% 0.73/1.17 skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0[0]: (1306) {G2,W7,D2,L2,V1,M2} R(63,362) { ! member( X, skol17 ),
% 0.73/1.17 apply( skol13, skol19, X ) }.
% 0.73/1.17 parent1[0]: (2574) {G4,W6,D3,L1,V0,M1} R(1886,81) { member( skol10( skol13
% 0.73/1.17 , skol17, skol19 ), skol17 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol10( skol13, skol17, skol19 )
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (2591) {G5,W7,D3,L1,V0,M1} R(2574,1306) { apply( skol13,
% 0.73/1.17 skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0: (2943) {G3,W7,D3,L1,V0,M1} { apply( skol13, skol19, skol10(
% 0.73/1.17 skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2944) {G5,W7,D3,L1,V0,M1} { alpha22( skol13, skol19, skol10(
% 0.73/1.17 skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0[0]: (479) {G4,W7,D2,L2,V1,M2} R(471,345) { ! member( X, skol17 ),
% 0.73/1.17 alpha22( skol13, skol19, X ) }.
% 0.73/1.17 parent1[0]: (2574) {G4,W6,D3,L1,V0,M1} R(1886,81) { member( skol10( skol13
% 0.73/1.17 , skol17, skol19 ), skol17 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol10( skol13, skol17, skol19 )
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (2609) {G5,W7,D3,L1,V0,M1} R(2574,479) { alpha22( skol13,
% 0.73/1.17 skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0: (2944) {G5,W7,D3,L1,V0,M1} { alpha22( skol13, skol19, skol10(
% 0.73/1.17 skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2945) {G1,W14,D3,L2,V0,M2} { ! apply( skol13, skol10( skol13
% 0.73/1.17 , skol17, skol19 ), skol19 ), alpha24( skol13, skol19, skol10( skol13,
% 0.73/1.17 skol17, skol19 ) ) }.
% 0.73/1.17 parent0[0]: (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X, Z
% 0.73/1.17 , Y ), alpha24( X, Y, Z ) }.
% 0.73/1.17 parent1[0]: (2591) {G5,W7,D3,L1,V0,M1} R(2574,1306) { apply( skol13, skol19
% 0.73/1.17 , skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol19
% 0.73/1.17 Z := skol10( skol13, skol17, skol19 )
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2947) {G2,W7,D3,L1,V0,M1} { alpha24( skol13, skol19, skol10(
% 0.73/1.17 skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0[0]: (2945) {G1,W14,D3,L2,V0,M2} { ! apply( skol13, skol10( skol13
% 0.73/1.17 , skol17, skol19 ), skol19 ), alpha24( skol13, skol19, skol10( skol13,
% 0.73/1.17 skol17, skol19 ) ) }.
% 0.73/1.17 parent1[0]: (2573) {G4,W7,D3,L1,V0,M1} R(1886,82) { apply( skol13, skol10(
% 0.73/1.17 skol13, skol17, skol19 ), skol19 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (2670) {G6,W7,D3,L1,V0,M1} R(2591,29);r(2573) { alpha24(
% 0.73/1.17 skol13, skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 parent0: (2947) {G2,W7,D3,L1,V0,M1} { alpha24( skol13, skol19, skol10(
% 0.73/1.17 skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (2948) {G0,W11,D2,L3,V3,M3} { Y = X, ! alpha22( Z, X, Y ), !
% 0.73/1.17 alpha24( Z, X, Y ) }.
% 0.73/1.17 parent0[2]: (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24(
% 0.73/1.17 X, Y, Z ), Y = Z }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := Z
% 0.73/1.17 Y := X
% 0.73/1.17 Z := Y
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2949) {G1,W13,D3,L2,V0,M2} { skol10( skol13, skol17, skol19 )
% 0.73/1.17 = skol19, ! alpha22( skol13, skol19, skol10( skol13, skol17, skol19 ) )
% 0.73/1.17 }.
% 0.73/1.17 parent0[2]: (2948) {G0,W11,D2,L3,V3,M3} { Y = X, ! alpha22( Z, X, Y ), !
% 0.73/1.17 alpha24( Z, X, Y ) }.
% 0.73/1.17 parent1[0]: (2670) {G6,W7,D3,L1,V0,M1} R(2591,29);r(2573) { alpha24( skol13
% 0.73/1.17 , skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol19
% 0.73/1.17 Y := skol10( skol13, skol17, skol19 )
% 0.73/1.17 Z := skol13
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2950) {G2,W6,D3,L1,V0,M1} { skol10( skol13, skol17, skol19 )
% 0.73/1.17 = skol19 }.
% 0.73/1.17 parent0[1]: (2949) {G1,W13,D3,L2,V0,M2} { skol10( skol13, skol17, skol19 )
% 0.73/1.17 = skol19, ! alpha22( skol13, skol19, skol10( skol13, skol17, skol19 ) )
% 0.73/1.17 }.
% 0.73/1.17 parent1[0]: (2609) {G5,W7,D3,L1,V0,M1} R(2574,479) { alpha22( skol13,
% 0.73/1.17 skol19, skol10( skol13, skol17, skol19 ) ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (2678) {G7,W6,D3,L1,V0,M1} R(2670,24);r(2609) { skol10( skol13
% 0.73/1.17 , skol17, skol19 ) ==> skol19 }.
% 0.73/1.17 parent0: (2950) {G2,W6,D3,L1,V0,M1} { skol10( skol13, skol17, skol19 ) =
% 0.73/1.17 skol19 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (2954) {G4,W0,D0,L0,V0,M0} { }.
% 0.73/1.17 parent0[0]: (1861) {G3,W6,D3,L1,V2,M1} R(79,1781) { ! skol10( X, Y, skol19
% 0.73/1.17 ) ==> skol19 }.
% 0.73/1.17 parent1[0]: (2678) {G7,W6,D3,L1,V0,M1} R(2670,24);r(2609) { skol10( skol13
% 0.73/1.17 , skol17, skol19 ) ==> skol19 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol13
% 0.73/1.17 Y := skol17
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (2679) {G8,W0,D0,L0,V0,M0} S(2678);r(1861) { }.
% 0.73/1.17 parent0: (2954) {G4,W0,D0,L0,V0,M0} { }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 Proof check complete!
% 0.73/1.17
% 0.73/1.17 Memory use:
% 0.73/1.17
% 0.73/1.17 space for terms: 37204
% 0.73/1.17 space for clauses: 124663
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 clauses generated: 8524
% 0.73/1.17 clauses kept: 2680
% 0.73/1.17 clauses selected: 404
% 0.73/1.17 clauses deleted: 1
% 0.73/1.17 clauses inuse deleted: 0
% 0.73/1.17
% 0.73/1.17 subsentry: 15403
% 0.73/1.17 literals s-matched: 13794
% 0.73/1.17 literals matched: 10499
% 0.73/1.17 full subsumption: 114
% 0.73/1.17
% 0.73/1.17 checksum: -2017047911
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 Bliksem ended
%------------------------------------------------------------------------------