TSTP Solution File: SET803+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 22:52:08 EDT 2022
% Result : Theorem 1.45s 1.84s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jul 11 03:50:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08
% 0.43/1.08 { ! order( X, Y ), alpha1( X, Y ) }.
% 0.43/1.08 { ! order( X, Y ), alpha9( X, Y ) }.
% 0.43/1.08 { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X, Y ) }.
% 0.43/1.08 { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.43/1.08 { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.43/1.08 { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9( X, Y ) }.
% 0.43/1.08 { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.43/1.08 { alpha23( Y, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X,
% 0.43/1.08 Y ) }.
% 0.43/1.08 { ! alpha25( X, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X
% 0.43/1.08 , Y ) }.
% 0.43/1.08 { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.43/1.08 { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.43/1.08 { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.43/1.08 { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.43/1.08 { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.43/1.08 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.43/1.08 { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.43/1.08 { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T ) }.
% 0.43/1.08 { ! member( Y, X ), ! alpha21( X, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.43/1.08 { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.43/1.08 { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.43/1.08 { ! member( Y, X ), ! member( Z, X ), alpha21( X, Y, Z ) }.
% 0.43/1.08 { ! alpha15( X, Y ), ! alpha20( Y, Z, T ), alpha22( X, Z, T ) }.
% 0.43/1.08 { alpha20( Y, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.43/1.08 { ! alpha22( X, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.43/1.08 { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y = Z }.
% 0.43/1.08 { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.43/1.08 { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.43/1.08 { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.43/1.08 { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.43/1.08 { ! apply( X, Y, Z ), ! apply( X, Z, Y ), alpha24( X, Y, Z ) }.
% 0.43/1.08 { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.43/1.08 { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.43/1.08 { ! member( Y, X ), ! member( Z, X ), alpha20( X, Y, Z ) }.
% 0.43/1.08 { ! alpha1( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.43/1.08 { member( skol3( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.43/1.08 { ! apply( X, skol3( X, Y ), skol3( X, Y ) ), alpha1( X, Y ) }.
% 0.43/1.08 { ! total_order( X, Y ), order( X, Y ) }.
% 0.43/1.08 { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.43/1.08 { ! order( X, Y ), ! alpha2( X, Y ), total_order( X, Y ) }.
% 0.43/1.08 { ! alpha2( X, Y ), ! alpha10( Y, Z, T ), alpha16( X, Z, T ) }.
% 0.43/1.08 { alpha10( Y, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.43/1.08 { ! alpha16( X, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.43/1.08 { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.43/1.08 { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.43/1.08 { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.43/1.08 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.43/1.08 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.43/1.08 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.43/1.08 { ! upper_bound( Z, X, Y ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.43/1.08 { member( skol5( T, Y, U ), Y ), upper_bound( Z, X, Y ) }.
% 0.43/1.08 { ! apply( X, skol5( X, Y, Z ), Z ), upper_bound( Z, X, Y ) }.
% 0.43/1.08 { ! lower_bound( Z, X, Y ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.43/1.08 { member( skol6( T, Y, U ), Y ), lower_bound( Z, X, Y ) }.
% 0.43/1.08 { ! apply( X, Z, skol6( X, Y, Z ) ), lower_bound( Z, X, Y ) }.
% 0.43/1.08 { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.43/1.08 { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.43/1.08 { ! member( Z, Y ), ! alpha3( X, Y, Z ), greatest( Z, X, Y ) }.
% 0.43/1.08 { ! alpha3( X, Y, Z ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.43/1.08 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.43/1.08 { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X, Y, Z ) }.
% 0.43/1.08 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.43/1.08 { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.43/1.08 { ! member( Z, Y ), ! alpha4( X, Y, Z ), least( Z, X, Y ) }.
% 0.43/1.08 { ! alpha4( X, Y, Z ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.43/1.08 { member( skol8( T, Y, U ), Y ), alpha4( X, Y, Z ) }.
% 0.43/1.08 { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.43/1.08 { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.43/1.08 { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.43/1.08 { ! member( Z, Y ), ! alpha5( X, Y, Z ), max( Z, X, Y ) }.
% 0.43/1.08 { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T ), Z = T }.
% 0.43/1.08 { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z ) }.
% 0.43/1.08 { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.43/1.08 { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 1.16/1.61 { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 1.16/1.61 { ! member( T, Y ), ! apply( X, Z, T ), alpha11( X, Y, Z, T ) }.
% 1.16/1.61 { ! min( Z, X, Y ), member( Z, Y ) }.
% 1.16/1.61 { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 1.16/1.61 { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z, X, Y ) }.
% 1.16/1.61 { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T ), Z = T }.
% 1.16/1.61 { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z ) }.
% 1.16/1.61 { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 1.16/1.61 { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 1.16/1.61 { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 1.16/1.61 { ! member( T, Y ), ! apply( X, T, Z ), alpha12( X, Y, Z, T ) }.
% 1.16/1.61 { ! least_upper_bound( X, Y, Z, T ), member( X, Y ) }.
% 1.16/1.61 { ! least_upper_bound( X, Y, Z, T ), alpha7( X, Y, Z, T ) }.
% 1.16/1.61 { ! member( X, Y ), ! alpha7( X, Y, Z, T ), least_upper_bound( X, Y, Z, T )
% 1.16/1.61 }.
% 1.16/1.61 { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y ) }.
% 1.16/1.61 { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 1.16/1.61 { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z, T ), alpha7( X, Y, Z, T ) }
% 1.16/1.61 .
% 1.16/1.61 { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T, U ), apply( Z, X, U ) }.
% 1.16/1.61 { ! apply( Z, X, skol11( X, U, Z, W ) ), alpha13( X, Y, Z, T ) }.
% 1.16/1.61 { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ), alpha13( X, Y, Z, T ) }.
% 1.16/1.61 { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 1.16/1.61 { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X ) }.
% 1.16/1.61 { ! member( T, Z ), ! upper_bound( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 1.16/1.61 { ! greatest_lower_bound( X, Y, Z, T ), member( X, Y ) }.
% 1.16/1.61 { ! greatest_lower_bound( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 1.16/1.61 { ! member( X, Y ), ! alpha8( X, Y, Z, T ), greatest_lower_bound( X, Y, Z,
% 1.16/1.61 T ) }.
% 1.16/1.61 { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y ) }.
% 1.16/1.61 { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T ) }.
% 1.16/1.61 { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z, T ), alpha8( X, Y, Z, T ) }
% 1.16/1.61 .
% 1.16/1.61 { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T, U ), apply( Z, U, X ) }.
% 1.16/1.61 { ! apply( Z, skol12( X, U, Z, W ), X ), alpha14( X, Y, Z, T ) }.
% 1.16/1.61 { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ), alpha14( X, Y, Z, T ) }.
% 1.16/1.61 { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 1.16/1.61 { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X ) }.
% 1.16/1.61 { ! member( T, Z ), ! lower_bound( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 1.16/1.61 { order( skol13, skol17 ) }.
% 1.16/1.61 { max( skol19, skol13, skol17 ) }.
% 1.16/1.61 { max( skol20, skol13, skol17 ) }.
% 1.16/1.61 { ! skol19 = skol20 }.
% 1.16/1.61 { greatest( skol21, skol13, skol17 ) }.
% 1.16/1.61
% 1.16/1.61 percentage equality = 0.027237, percentage horn = 0.867257
% 1.16/1.61 This is a problem with some equality
% 1.16/1.61
% 1.16/1.61
% 1.16/1.61
% 1.16/1.61 Options Used:
% 1.16/1.61
% 1.16/1.61 useres = 1
% 1.16/1.61 useparamod = 1
% 1.16/1.61 useeqrefl = 1
% 1.16/1.61 useeqfact = 1
% 1.16/1.61 usefactor = 1
% 1.16/1.61 usesimpsplitting = 0
% 1.16/1.61 usesimpdemod = 5
% 1.16/1.61 usesimpres = 3
% 1.16/1.61
% 1.16/1.61 resimpinuse = 1000
% 1.16/1.61 resimpclauses = 20000
% 1.16/1.61 substype = eqrewr
% 1.16/1.61 backwardsubs = 1
% 1.16/1.61 selectoldest = 5
% 1.16/1.61
% 1.16/1.61 litorderings [0] = split
% 1.16/1.61 litorderings [1] = extend the termordering, first sorting on arguments
% 1.16/1.61
% 1.16/1.61 termordering = kbo
% 1.16/1.61
% 1.16/1.61 litapriori = 0
% 1.16/1.61 termapriori = 1
% 1.16/1.61 litaposteriori = 0
% 1.16/1.61 termaposteriori = 0
% 1.16/1.61 demodaposteriori = 0
% 1.16/1.61 ordereqreflfact = 0
% 1.16/1.61
% 1.16/1.61 litselect = negord
% 1.16/1.61
% 1.16/1.61 maxweight = 15
% 1.16/1.61 maxdepth = 30000
% 1.16/1.61 maxlength = 115
% 1.16/1.61 maxnrvars = 195
% 1.16/1.61 excuselevel = 1
% 1.16/1.61 increasemaxweight = 1
% 1.16/1.61
% 1.16/1.61 maxselected = 10000000
% 1.16/1.61 maxnrclauses = 10000000
% 1.16/1.61
% 1.16/1.61 showgenerated = 0
% 1.16/1.61 showkept = 0
% 1.16/1.61 showselected = 0
% 1.16/1.61 showdeleted = 0
% 1.16/1.61 showresimp = 1
% 1.16/1.61 showstatus = 2000
% 1.16/1.61
% 1.16/1.61 prologoutput = 0
% 1.16/1.61 nrgoals = 5000000
% 1.16/1.61 totalproof = 1
% 1.16/1.61
% 1.16/1.61 Symbols occurring in the translation:
% 1.16/1.61
% 1.16/1.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.16/1.61 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.16/1.61 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 1.16/1.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.61 order [37, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.16/1.61 member [39, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.16/1.61 apply [40, 3] (w:1, o:65, a:1, s:1, b:0),
% 1.16/1.61 total_order [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.16/1.61 upper_bound [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 1.16/1.61 lower_bound [46, 3] (w:1, o:67, a:1, s:1, b:0),
% 1.16/1.61 greatest [47, 3] (w:1, o:68, a:1, s:1, b:0),
% 1.16/1.61 least [48, 3] (w:1, o:69, a:1, s:1, b:0),
% 1.16/1.61 max [49, 3] (w:1, o:70, a:1, s:1, b:0),
% 1.45/1.84 min [50, 3] (w:1, o:71, a:1, s:1, b:0),
% 1.45/1.84 least_upper_bound [52, 4] (w:1, o:88, a:1, s:1, b:0),
% 1.45/1.84 greatest_lower_bound [53, 4] (w:1, o:89, a:1, s:1, b:0),
% 1.45/1.84 alpha1 [56, 2] (w:1, o:60, a:1, s:1, b:1),
% 1.45/1.84 alpha2 [57, 2] (w:1, o:63, a:1, s:1, b:1),
% 1.45/1.84 alpha3 [58, 3] (w:1, o:76, a:1, s:1, b:1),
% 1.45/1.84 alpha4 [59, 3] (w:1, o:77, a:1, s:1, b:1),
% 1.45/1.84 alpha5 [60, 3] (w:1, o:78, a:1, s:1, b:1),
% 1.45/1.84 alpha6 [61, 3] (w:1, o:79, a:1, s:1, b:1),
% 1.45/1.84 alpha7 [62, 4] (w:1, o:90, a:1, s:1, b:1),
% 1.45/1.84 alpha8 [63, 4] (w:1, o:91, a:1, s:1, b:1),
% 1.45/1.84 alpha9 [64, 2] (w:1, o:64, a:1, s:1, b:1),
% 1.45/1.84 alpha10 [65, 3] (w:1, o:80, a:1, s:1, b:1),
% 1.45/1.84 alpha11 [66, 4] (w:1, o:92, a:1, s:1, b:1),
% 1.45/1.84 alpha12 [67, 4] (w:1, o:93, a:1, s:1, b:1),
% 1.45/1.84 alpha13 [68, 4] (w:1, o:94, a:1, s:1, b:1),
% 1.45/1.84 alpha14 [69, 4] (w:1, o:95, a:1, s:1, b:1),
% 1.45/1.84 alpha15 [70, 2] (w:1, o:61, a:1, s:1, b:1),
% 1.45/1.84 alpha16 [71, 3] (w:1, o:81, a:1, s:1, b:1),
% 1.45/1.84 alpha17 [72, 4] (w:1, o:96, a:1, s:1, b:1),
% 1.45/1.84 alpha18 [73, 4] (w:1, o:97, a:1, s:1, b:1),
% 1.45/1.84 alpha19 [74, 2] (w:1, o:62, a:1, s:1, b:1),
% 1.45/1.84 alpha20 [75, 3] (w:1, o:72, a:1, s:1, b:1),
% 1.45/1.84 alpha21 [76, 3] (w:1, o:73, a:1, s:1, b:1),
% 1.45/1.84 alpha22 [77, 3] (w:1, o:74, a:1, s:1, b:1),
% 1.45/1.84 alpha23 [78, 4] (w:1, o:98, a:1, s:1, b:1),
% 1.45/1.84 alpha24 [79, 3] (w:1, o:75, a:1, s:1, b:1),
% 1.45/1.84 alpha25 [80, 4] (w:1, o:99, a:1, s:1, b:1),
% 1.45/1.84 alpha26 [81, 4] (w:1, o:100, a:1, s:1, b:1),
% 1.45/1.84 skol1 [82, 2] (w:1, o:51, a:1, s:1, b:1),
% 1.45/1.84 skol2 [83, 2] (w:1, o:56, a:1, s:1, b:1),
% 1.45/1.84 skol3 [84, 2] (w:1, o:57, a:1, s:1, b:1),
% 1.45/1.84 skol4 [85, 2] (w:1, o:58, a:1, s:1, b:1),
% 1.45/1.84 skol5 [86, 3] (w:1, o:82, a:1, s:1, b:1),
% 1.45/1.84 skol6 [87, 3] (w:1, o:83, a:1, s:1, b:1),
% 1.45/1.84 skol7 [88, 3] (w:1, o:84, a:1, s:1, b:1),
% 1.45/1.84 skol8 [89, 3] (w:1, o:85, a:1, s:1, b:1),
% 1.45/1.84 skol9 [90, 3] (w:1, o:86, a:1, s:1, b:1),
% 1.45/1.84 skol10 [91, 3] (w:1, o:87, a:1, s:1, b:1),
% 1.45/1.84 skol11 [92, 4] (w:1, o:101, a:1, s:1, b:1),
% 1.45/1.84 skol12 [93, 4] (w:1, o:102, a:1, s:1, b:1),
% 1.45/1.84 skol13 [94, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.45/1.84 skol14 [95, 2] (w:1, o:52, a:1, s:1, b:1),
% 1.45/1.84 skol15 [96, 2] (w:1, o:53, a:1, s:1, b:1),
% 1.45/1.84 skol16 [97, 2] (w:1, o:54, a:1, s:1, b:1),
% 1.45/1.84 skol17 [98, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.45/1.84 skol18 [99, 2] (w:1, o:55, a:1, s:1, b:1),
% 1.45/1.84 skol19 [100, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.45/1.84 skol20 [101, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.45/1.84 skol21 [102, 0] (w:1, o:19, a:1, s:1, b:1).
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 Starting Search:
% 1.45/1.84
% 1.45/1.84 *** allocated 15000 integers for clauses
% 1.45/1.84 *** allocated 22500 integers for clauses
% 1.45/1.84 *** allocated 33750 integers for clauses
% 1.45/1.84 *** allocated 50625 integers for clauses
% 1.45/1.84 *** allocated 15000 integers for termspace/termends
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 *** allocated 75937 integers for clauses
% 1.45/1.84 *** allocated 22500 integers for termspace/termends
% 1.45/1.84 *** allocated 113905 integers for clauses
% 1.45/1.84 *** allocated 33750 integers for termspace/termends
% 1.45/1.84
% 1.45/1.84 Intermediate Status:
% 1.45/1.84 Generated: 3275
% 1.45/1.84 Kept: 2002
% 1.45/1.84 Inuse: 278
% 1.45/1.84 Deleted: 0
% 1.45/1.84 Deletedinuse: 0
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 *** allocated 50625 integers for termspace/termends
% 1.45/1.84 *** allocated 170857 integers for clauses
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 *** allocated 256285 integers for clauses
% 1.45/1.84 *** allocated 75937 integers for termspace/termends
% 1.45/1.84
% 1.45/1.84 Intermediate Status:
% 1.45/1.84 Generated: 15325
% 1.45/1.84 Kept: 4022
% 1.45/1.84 Inuse: 633
% 1.45/1.84 Deleted: 4
% 1.45/1.84 Deletedinuse: 2
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 *** allocated 113905 integers for termspace/termends
% 1.45/1.84 *** allocated 384427 integers for clauses
% 1.45/1.84
% 1.45/1.84 Intermediate Status:
% 1.45/1.84 Generated: 29694
% 1.45/1.84 Kept: 6031
% 1.45/1.84 Inuse: 829
% 1.45/1.84 Deleted: 5
% 1.45/1.84 Deletedinuse: 3
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 Intermediate Status:
% 1.45/1.84 Generated: 38268
% 1.45/1.84 Kept: 8031
% 1.45/1.84 Inuse: 958
% 1.45/1.84 Deleted: 9
% 1.45/1.84 Deletedinuse: 7
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 *** allocated 170857 integers for termspace/termends
% 1.45/1.84 *** allocated 576640 integers for clauses
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 Intermediate Status:
% 1.45/1.84 Generated: 51408
% 1.45/1.84 Kept: 10047
% 1.45/1.84 Inuse: 1084
% 1.45/1.84 Deleted: 9
% 1.45/1.84 Deletedinuse: 7
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 Intermediate Status:
% 1.45/1.84 Generated: 58883
% 1.45/1.84 Kept: 12052
% 1.45/1.84 Inuse: 1217
% 1.45/1.84 Deleted: 21
% 1.45/1.84 Deletedinuse: 9
% 1.45/1.84
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84 *** allocated 256285 integers for termspace/termends
% 1.45/1.84 Resimplifying inuse:
% 1.45/1.84 Done
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 Bliksems!, er is een bewijs:
% 1.45/1.84 % SZS status Theorem
% 1.45/1.84 % SZS output start Refutation
% 1.45/1.84
% 1.45/1.84 (54) {G0,W7,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 1.45/1.84 (55) {G0,W8,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 1.45/1.84 (57) {G0,W11,D2,L3,V4,M3} I { ! alpha3( X, Y, Z ), ! member( T, Y ), apply
% 1.45/1.84 ( X, T, Z ) }.
% 1.45/1.84 (66) {G0,W7,D2,L2,V3,M2} I { ! max( Z, X, Y ), member( Z, Y ) }.
% 1.45/1.84 (67) {G0,W8,D2,L2,V3,M2} I { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 1.45/1.84 (69) {G0,W12,D2,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T )
% 1.45/1.84 , Z = T }.
% 1.45/1.84 (74) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z, T ), alpha11
% 1.45/1.84 ( X, Y, Z, T ) }.
% 1.45/1.84 (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 ) }.
% 1.45/1.84 (110) {G0,W4,D2,L1,V0,M1} I { max( skol20, skol13, skol17 ) }.
% 1.45/1.84 (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 1.45/1.84 (112) {G0,W4,D2,L1,V0,M1} I { greatest( skol21, skol13, skol17 ) }.
% 1.45/1.84 (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 ) }.
% 1.45/1.84 (136) {G1,W3,D2,L1,V0,M1} R(66,110) { member( skol20, skol17 ) }.
% 1.45/1.84 (140) {G1,W3,D2,L1,V0,M1} R(54,112) { member( skol21, skol17 ) }.
% 1.45/1.84 (1302) {G1,W4,D2,L1,V0,M1} R(55,112) { alpha3( skol13, skol17, skol21 ) }.
% 1.45/1.84 (1384) {G2,W7,D2,L2,V1,M2} R(57,1302) { ! member( X, skol17 ), apply(
% 1.45/1.84 skol13, X, skol21 ) }.
% 1.45/1.84 (1449) {G3,W4,D2,L1,V0,M1} R(1384,136) { apply( skol13, skol20, skol21 )
% 1.45/1.84 }.
% 1.45/1.84 (1450) {G3,W4,D2,L1,V0,M1} R(1384,135) { apply( skol13, skol19, skol21 )
% 1.45/1.84 }.
% 1.45/1.84 (1836) {G1,W4,D2,L1,V0,M1} R(67,109) { alpha5( skol13, skol17, skol19 ) }.
% 1.45/1.84 (1837) {G1,W4,D2,L1,V0,M1} R(67,110) { alpha5( skol13, skol17, skol20 ) }.
% 1.45/1.84 (2130) {G4,W8,D2,L2,V1,M2} R(74,1450) { ! member( skol21, X ), alpha11(
% 1.45/1.84 skol13, X, skol19, skol21 ) }.
% 1.45/1.84 (11746) {G5,W5,D2,L1,V0,M1} R(2130,140) { alpha11( skol13, skol17, skol19,
% 1.45/1.84 skol21 ) }.
% 1.45/1.84 (11763) {G6,W3,D2,L1,V0,M1} R(11746,69);r(1836) { skol21 ==> skol19 }.
% 1.45/1.84 (11808) {G7,W4,D2,L1,V0,M1} P(11763,1449) { apply( skol13, skol20, skol19 )
% 1.45/1.84 }.
% 1.45/1.84 (11901) {G8,W8,D2,L2,V1,M2} R(11808,74) { ! member( skol19, X ), alpha11(
% 1.45/1.84 skol13, X, skol20, skol19 ) }.
% 1.45/1.84 (13848) {G9,W5,D2,L1,V0,M1} R(11901,135) { alpha11( skol13, skol17, skol20
% 1.45/1.84 , skol19 ) }.
% 1.45/1.84 (13851) {G10,W3,D2,L1,V0,M1} R(13848,69);r(1837) { skol20 ==> skol19 }.
% 1.45/1.84 (13852) {G11,W0,D0,L0,V0,M0} S(13851);r(111) { }.
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 % SZS output end Refutation
% 1.45/1.84 found a proof!
% 1.45/1.84
% 1.45/1.84 *** allocated 864960 integers for clauses
% 1.45/1.84
% 1.45/1.84 Unprocessed initial clauses:
% 1.45/1.84
% 1.45/1.84 (13854) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 1.45/1.84 (13855) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 1.45/1.84 (13856) {G0,W9,D2,L3,V2,M3} { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X
% 1.45/1.84 , Y ) }.
% 1.45/1.84 (13857) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 1.45/1.84 (13858) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 1.45/1.84 (13859) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9
% 1.45/1.84 ( X, Y ) }.
% 1.45/1.84 (13860) {G0,W13,D2,L3,V5,M3} { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U )
% 1.45/1.84 , alpha25( X, Z, T, U ) }.
% 1.45/1.84 (13861) {G0,W14,D3,L2,V2,M2} { alpha23( Y, skol1( X, Y ), skol14( X, Y ),
% 1.45/1.84 skol18( X, Y ) ), alpha19( X, Y ) }.
% 1.45/1.84 (13862) {G0,W14,D3,L2,V2,M2} { ! alpha25( X, skol1( X, Y ), skol14( X, Y )
% 1.45/1.84 , skol18( X, Y ) ), alpha19( X, Y ) }.
% 1.45/1.84 (13863) {G0,W14,D2,L3,V4,M3} { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z
% 1.45/1.84 , T ), apply( X, Y, T ) }.
% 1.45/1.84 (13864) {G0,W10,D2,L2,V4,M2} { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T
% 1.45/1.84 ) }.
% 1.45/1.84 (13865) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha25( X, Y, Z, T )
% 1.45/1.84 }.
% 1.45/1.84 (13866) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Y, Z )
% 1.45/1.84 }.
% 1.45/1.84 (13867) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Z, T )
% 1.45/1.84 }.
% 1.45/1.84 (13868) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 1.45/1.84 alpha26( X, Y, Z, T ) }.
% 1.45/1.84 (13869) {G0,W8,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 1.45/1.84 (13870) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T )
% 1.45/1.84 }.
% 1.45/1.84 (13871) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha21( X, Z, T ),
% 1.45/1.84 alpha23( X, Y, Z, T ) }.
% 1.45/1.84 (13872) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 1.45/1.84 (13873) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 1.45/1.84 (13874) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha21
% 1.45/1.84 ( X, Y, Z ) }.
% 1.45/1.84 (13875) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 1.45/1.84 alpha22( X, Z, T ) }.
% 1.45/1.84 (13876) {G0,W11,D3,L2,V2,M2} { alpha20( Y, skol2( X, Y ), skol15( X, Y ) )
% 1.45/1.84 , alpha15( X, Y ) }.
% 1.45/1.84 (13877) {G0,W11,D3,L2,V2,M2} { ! alpha22( X, skol2( X, Y ), skol15( X, Y )
% 1.45/1.84 ), alpha15( X, Y ) }.
% 1.45/1.84 (13878) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z )
% 1.45/1.84 , Y = Z }.
% 1.45/1.84 (13879) {G0,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 1.45/1.84 (13880) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha22( X, Y, Z ) }.
% 1.45/1.84 (13881) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 1.45/1.84 (13882) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 1.45/1.84 (13883) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 1.45/1.84 alpha24( X, Y, Z ) }.
% 1.45/1.84 (13884) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 1.45/1.84 (13885) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 1.45/1.84 (13886) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha20
% 1.45/1.84 ( X, Y, Z ) }.
% 1.45/1.84 (13887) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y ), apply(
% 1.45/1.84 X, Z, Z ) }.
% 1.45/1.84 (13888) {G0,W8,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), alpha1( X, Y )
% 1.45/1.84 }.
% 1.45/1.84 (13889) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol3( X, Y ), skol3( X, Y ) )
% 1.45/1.84 , alpha1( X, Y ) }.
% 1.45/1.84 (13890) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y ) }.
% 1.45/1.84 (13891) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y ) }.
% 1.45/1.84 (13892) {G0,W9,D2,L3,V2,M3} { ! order( X, Y ), ! alpha2( X, Y ),
% 1.45/1.84 total_order( X, Y ) }.
% 1.45/1.84 (13893) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 1.45/1.84 alpha16( X, Z, T ) }.
% 1.45/1.84 (13894) {G0,W11,D3,L2,V2,M2} { alpha10( Y, skol4( X, Y ), skol16( X, Y ) )
% 1.45/1.84 , alpha2( X, Y ) }.
% 1.45/1.84 (13895) {G0,W11,D3,L2,V2,M2} { ! alpha16( X, skol4( X, Y ), skol16( X, Y )
% 1.45/1.84 ), alpha2( X, Y ) }.
% 1.45/1.84 (13896) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y, Z ),
% 1.45/1.84 apply( X, Z, Y ) }.
% 1.45/1.84 (13897) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 1.45/1.84 (13898) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 1.45/1.84 (13899) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 1.45/1.84 (13900) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 1.45/1.84 (13901) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 1.45/1.84 ( X, Y, Z ) }.
% 1.45/1.84 (13902) {G0,W11,D2,L3,V4,M3} { ! upper_bound( Z, X, Y ), ! member( T, Y )
% 1.45/1.84 , apply( X, T, Z ) }.
% 1.45/1.84 (13903) {G0,W10,D3,L2,V5,M2} { member( skol5( T, Y, U ), Y ), upper_bound
% 1.45/1.84 ( Z, X, Y ) }.
% 1.45/1.84 (13904) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol5( X, Y, Z ), Z ),
% 1.45/1.84 upper_bound( Z, X, Y ) }.
% 1.45/1.84 (13905) {G0,W11,D2,L3,V4,M3} { ! lower_bound( Z, X, Y ), ! member( T, Y )
% 1.45/1.84 , apply( X, Z, T ) }.
% 1.45/1.84 (13906) {G0,W10,D3,L2,V5,M2} { member( skol6( T, Y, U ), Y ), lower_bound
% 1.45/1.84 ( Z, X, Y ) }.
% 1.45/1.84 (13907) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol6( X, Y, Z ) ),
% 1.45/1.84 lower_bound( Z, X, Y ) }.
% 1.45/1.84 (13908) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 1.45/1.84 (13909) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 1.45/1.84 (13910) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 1.45/1.84 greatest( Z, X, Y ) }.
% 1.45/1.84 (13911) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ),
% 1.45/1.84 apply( X, T, Z ) }.
% 1.45/1.84 (13912) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 1.45/1.84 , Z ) }.
% 1.45/1.84 (13913) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ), alpha3(
% 1.45/1.84 X, Y, Z ) }.
% 1.45/1.84 (13914) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 1.45/1.84 (13915) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 1.45/1.84 (13916) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z ),
% 1.45/1.84 least( Z, X, Y ) }.
% 1.45/1.84 (13917) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y ),
% 1.45/1.84 apply( X, Z, T ) }.
% 1.45/1.84 (13918) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ), alpha4( X, Y
% 1.45/1.84 , Z ) }.
% 1.45/1.84 (13919) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4(
% 1.45/1.84 X, Y, Z ) }.
% 1.45/1.84 (13920) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 1.45/1.84 (13921) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 1.45/1.84 (13922) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha5( X, Y, Z ), max
% 1.45/1.84 ( Z, X, Y ) }.
% 1.45/1.84 (13923) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T
% 1.45/1.84 ), Z = T }.
% 1.45/1.84 (13924) {G0,W10,D3,L2,V5,M2} { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z )
% 1.45/1.84 }.
% 1.45/1.84 (13925) {G0,W12,D3,L2,V3,M2} { alpha11( X, Y, Z, skol9( X, Y, Z ) ),
% 1.45/1.84 alpha5( X, Y, Z ) }.
% 1.45/1.84 (13926) {G0,W8,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 1.45/1.84 (13927) {G0,W9,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), apply( X, Z, T )
% 1.45/1.84 }.
% 1.45/1.84 (13928) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 1.45/1.84 alpha11( X, Y, Z, T ) }.
% 1.45/1.84 (13929) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 1.45/1.84 (13930) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 1.45/1.84 (13931) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z ), min
% 1.45/1.84 ( Z, X, Y ) }.
% 1.45/1.84 (13932) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T
% 1.45/1.84 ), Z = T }.
% 1.45/1.84 (13933) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z )
% 1.45/1.84 }.
% 1.45/1.84 (13934) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z ) ),
% 1.45/1.84 alpha6( X, Y, Z ) }.
% 1.45/1.84 (13935) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 1.45/1.84 (13936) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T, Z )
% 1.45/1.84 }.
% 1.45/1.84 (13937) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z ),
% 1.45/1.84 alpha12( X, Y, Z, T ) }.
% 1.45/1.84 (13938) {G0,W8,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), member( X
% 1.45/1.84 , Y ) }.
% 1.45/1.84 (13939) {G0,W10,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), alpha7(
% 1.45/1.84 X, Y, Z, T ) }.
% 1.45/1.84 (13940) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha7( X, Y, Z, T ),
% 1.45/1.84 least_upper_bound( X, Y, Z, T ) }.
% 1.45/1.84 (13941) {G0,W9,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y
% 1.45/1.84 ) }.
% 1.45/1.84 (13942) {G0,W10,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T
% 1.45/1.84 ) }.
% 1.45/1.84 (13943) {G0,W14,D2,L3,V4,M3} { ! upper_bound( X, Z, Y ), ! alpha13( X, Y,
% 1.45/1.84 Z, T ), alpha7( X, Y, Z, T ) }.
% 1.45/1.84 (13944) {G0,W14,D2,L3,V5,M3} { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T
% 1.45/1.84 , U ), apply( Z, X, U ) }.
% 1.45/1.84 (13945) {G0,W13,D3,L2,V6,M2} { ! apply( Z, X, skol11( X, U, Z, W ) ),
% 1.45/1.84 alpha13( X, Y, Z, T ) }.
% 1.45/1.84 (13946) {G0,W14,D3,L2,V4,M2} { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ),
% 1.45/1.84 alpha13( X, Y, Z, T ) }.
% 1.45/1.84 (13947) {G0,W8,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 1.45/1.84 (13948) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), upper_bound( T, Y,
% 1.45/1.84 X ) }.
% 1.45/1.84 (13949) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! upper_bound( T, Y, X )
% 1.45/1.84 , alpha17( X, Y, Z, T ) }.
% 1.45/1.84 (13950) {G0,W8,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), member
% 1.45/1.84 ( X, Y ) }.
% 1.45/1.84 (13951) {G0,W10,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ),
% 1.45/1.84 alpha8( X, Y, Z, T ) }.
% 1.45/1.84 (13952) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha8( X, Y, Z, T ),
% 1.45/1.84 greatest_lower_bound( X, Y, Z, T ) }.
% 1.45/1.84 (13953) {G0,W9,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y
% 1.45/1.84 ) }.
% 1.45/1.84 (13954) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T
% 1.45/1.84 ) }.
% 1.45/1.84 (13955) {G0,W14,D2,L3,V4,M3} { ! lower_bound( X, Z, Y ), ! alpha14( X, Y,
% 1.45/1.84 Z, T ), alpha8( X, Y, Z, T ) }.
% 1.45/1.84 (13956) {G0,W14,D2,L3,V5,M3} { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T
% 1.45/1.84 , U ), apply( Z, U, X ) }.
% 1.45/1.84 (13957) {G0,W13,D3,L2,V6,M2} { ! apply( Z, skol12( X, U, Z, W ), X ),
% 1.45/1.84 alpha14( X, Y, Z, T ) }.
% 1.45/1.84 (13958) {G0,W14,D3,L2,V4,M2} { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ),
% 1.45/1.84 alpha14( X, Y, Z, T ) }.
% 1.45/1.84 (13959) {G0,W8,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 1.45/1.84 (13960) {G0,W9,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), lower_bound( T, Y,
% 1.45/1.84 X ) }.
% 1.45/1.84 (13961) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! lower_bound( T, Y, X )
% 1.45/1.84 , alpha18( X, Y, Z, T ) }.
% 1.45/1.84 (13962) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 1.45/1.84 (13963) {G0,W4,D2,L1,V0,M1} { max( skol19, skol13, skol17 ) }.
% 1.45/1.84 (13964) {G0,W4,D2,L1,V0,M1} { max( skol20, skol13, skol17 ) }.
% 1.45/1.84 (13965) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 1.45/1.84 (13966) {G0,W4,D2,L1,V0,M1} { greatest( skol21, skol13, skol17 ) }.
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 Total Proof:
% 1.45/1.84
% 1.45/1.84 subsumption: (54) {G0,W7,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), member( Z
% 1.45/1.84 , Y ) }.
% 1.45/1.84 parent0: (13908) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y
% 1.45/1.84 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 Y := Y
% 1.45/1.84 Z := Z
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (55) {G0,W8,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), alpha3( X
% 1.45/1.84 , Y, Z ) }.
% 1.45/1.84 parent0: (13909) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y
% 1.45/1.84 , Z ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 Y := Y
% 1.45/1.84 Z := Z
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (57) {G0,W11,D2,L3,V4,M3} I { ! alpha3( X, Y, Z ), ! member( T
% 1.45/1.84 , Y ), apply( X, T, Z ) }.
% 1.45/1.84 parent0: (13911) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T,
% 1.45/1.84 Y ), apply( X, T, Z ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 Y := Y
% 1.45/1.84 Z := Z
% 1.45/1.84 T := T
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 2 ==> 2
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (66) {G0,W7,D2,L2,V3,M2} I { ! max( Z, X, Y ), member( Z, Y )
% 1.45/1.84 }.
% 1.45/1.84 parent0: (13920) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 Y := Y
% 1.45/1.84 Z := Z
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (67) {G0,W8,D2,L2,V3,M2} I { ! max( Z, X, Y ), alpha5( X, Y, Z
% 1.45/1.84 ) }.
% 1.45/1.84 parent0: (13921) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 Y := Y
% 1.45/1.84 Z := Z
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (69) {G0,W12,D2,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! alpha11(
% 1.45/1.84 X, Y, Z, T ), Z = T }.
% 1.45/1.84 parent0: (13923) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X
% 1.45/1.84 , Y, Z, T ), Z = T }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 Y := Y
% 1.45/1.84 Z := Z
% 1.45/1.84 T := T
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 2 ==> 2
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (74) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z
% 1.45/1.84 , T ), alpha11( X, Y, Z, T ) }.
% 1.45/1.84 parent0: (13928) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T
% 1.45/1.84 ), alpha11( X, Y, Z, T ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 Y := Y
% 1.45/1.84 Z := Z
% 1.45/1.84 T := T
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 2 ==> 2
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 parent0: (13963) {G0,W4,D2,L1,V0,M1} { max( skol19, skol13, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (110) {G0,W4,D2,L1,V0,M1} I { max( skol20, skol13, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 parent0: (13964) {G0,W4,D2,L1,V0,M1} { max( skol20, skol13, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 eqswap: (14062) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 1.45/1.84 parent0[0]: (13965) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 1.45/1.84 parent0: (14062) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (112) {G0,W4,D2,L1,V0,M1} I { greatest( skol21, skol13, skol17
% 1.45/1.84 ) }.
% 1.45/1.84 parent0: (13966) {G0,W4,D2,L1,V0,M1} { greatest( skol21, skol13, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14076) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 1.45/1.84 parent0[0]: (66) {G0,W7,D2,L2,V3,M2} I { ! max( Z, X, Y ), member( Z, Y )
% 1.45/1.84 }.
% 1.45/1.84 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := skol17
% 1.45/1.84 Z := skol19
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 parent0: (14076) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14077) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 1.45/1.84 parent0[0]: (66) {G0,W7,D2,L2,V3,M2} I { ! max( Z, X, Y ), member( Z, Y )
% 1.45/1.84 }.
% 1.45/1.84 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { max( skol20, skol13, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := skol17
% 1.45/1.84 Z := skol20
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (136) {G1,W3,D2,L1,V0,M1} R(66,110) { member( skol20, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 parent0: (14077) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14078) {G1,W3,D2,L1,V0,M1} { member( skol21, skol17 ) }.
% 1.45/1.84 parent0[0]: (54) {G0,W7,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), member( Z,
% 1.45/1.84 Y ) }.
% 1.45/1.84 parent1[0]: (112) {G0,W4,D2,L1,V0,M1} I { greatest( skol21, skol13, skol17
% 1.45/1.84 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := skol17
% 1.45/1.84 Z := skol21
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (140) {G1,W3,D2,L1,V0,M1} R(54,112) { member( skol21, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 parent0: (14078) {G1,W3,D2,L1,V0,M1} { member( skol21, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14079) {G1,W4,D2,L1,V0,M1} { alpha3( skol13, skol17, skol21 )
% 1.45/1.84 }.
% 1.45/1.84 parent0[0]: (55) {G0,W8,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), alpha3( X,
% 1.45/1.84 Y, Z ) }.
% 1.45/1.84 parent1[0]: (112) {G0,W4,D2,L1,V0,M1} I { greatest( skol21, skol13, skol17
% 1.45/1.84 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := skol17
% 1.45/1.84 Z := skol21
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (1302) {G1,W4,D2,L1,V0,M1} R(55,112) { alpha3( skol13, skol17
% 1.45/1.84 , skol21 ) }.
% 1.45/1.84 parent0: (14079) {G1,W4,D2,L1,V0,M1} { alpha3( skol13, skol17, skol21 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14080) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply(
% 1.45/1.84 skol13, X, skol21 ) }.
% 1.45/1.84 parent0[0]: (57) {G0,W11,D2,L3,V4,M3} I { ! alpha3( X, Y, Z ), ! member( T
% 1.45/1.84 , Y ), apply( X, T, Z ) }.
% 1.45/1.84 parent1[0]: (1302) {G1,W4,D2,L1,V0,M1} R(55,112) { alpha3( skol13, skol17,
% 1.45/1.84 skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := skol17
% 1.45/1.84 Z := skol21
% 1.45/1.84 T := X
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (1384) {G2,W7,D2,L2,V1,M2} R(57,1302) { ! member( X, skol17 )
% 1.45/1.84 , apply( skol13, X, skol21 ) }.
% 1.45/1.84 parent0: (14080) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply(
% 1.45/1.84 skol13, X, skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14081) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol20, skol21 )
% 1.45/1.84 }.
% 1.45/1.84 parent0[0]: (1384) {G2,W7,D2,L2,V1,M2} R(57,1302) { ! member( X, skol17 ),
% 1.45/1.84 apply( skol13, X, skol21 ) }.
% 1.45/1.84 parent1[0]: (136) {G1,W3,D2,L1,V0,M1} R(66,110) { member( skol20, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol20
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (1449) {G3,W4,D2,L1,V0,M1} R(1384,136) { apply( skol13, skol20
% 1.45/1.84 , skol21 ) }.
% 1.45/1.84 parent0: (14081) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol20, skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14082) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol21 )
% 1.45/1.84 }.
% 1.45/1.84 parent0[0]: (1384) {G2,W7,D2,L2,V1,M2} R(57,1302) { ! member( X, skol17 ),
% 1.45/1.84 apply( skol13, X, skol21 ) }.
% 1.45/1.84 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol19
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (1450) {G3,W4,D2,L1,V0,M1} R(1384,135) { apply( skol13, skol19
% 1.45/1.84 , skol21 ) }.
% 1.45/1.84 parent0: (14082) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14083) {G1,W4,D2,L1,V0,M1} { alpha5( skol13, skol17, skol19 )
% 1.45/1.84 }.
% 1.45/1.84 parent0[0]: (67) {G0,W8,D2,L2,V3,M2} I { ! max( Z, X, Y ), alpha5( X, Y, Z
% 1.45/1.84 ) }.
% 1.45/1.84 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { max( skol19, skol13, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := skol17
% 1.45/1.84 Z := skol19
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (1836) {G1,W4,D2,L1,V0,M1} R(67,109) { alpha5( skol13, skol17
% 1.45/1.84 , skol19 ) }.
% 1.45/1.84 parent0: (14083) {G1,W4,D2,L1,V0,M1} { alpha5( skol13, skol17, skol19 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14084) {G1,W4,D2,L1,V0,M1} { alpha5( skol13, skol17, skol20 )
% 1.45/1.84 }.
% 1.45/1.84 parent0[0]: (67) {G0,W8,D2,L2,V3,M2} I { ! max( Z, X, Y ), alpha5( X, Y, Z
% 1.45/1.84 ) }.
% 1.45/1.84 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { max( skol20, skol13, skol17 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := skol17
% 1.45/1.84 Z := skol20
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (1837) {G1,W4,D2,L1,V0,M1} R(67,110) { alpha5( skol13, skol17
% 1.45/1.84 , skol20 ) }.
% 1.45/1.84 parent0: (14084) {G1,W4,D2,L1,V0,M1} { alpha5( skol13, skol17, skol20 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14085) {G1,W8,D2,L2,V1,M2} { ! member( skol21, X ), alpha11(
% 1.45/1.84 skol13, X, skol19, skol21 ) }.
% 1.45/1.84 parent0[1]: (74) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z,
% 1.45/1.84 T ), alpha11( X, Y, Z, T ) }.
% 1.45/1.84 parent1[0]: (1450) {G3,W4,D2,L1,V0,M1} R(1384,135) { apply( skol13, skol19
% 1.45/1.84 , skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := X
% 1.45/1.84 Z := skol19
% 1.45/1.84 T := skol21
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (2130) {G4,W8,D2,L2,V1,M2} R(74,1450) { ! member( skol21, X )
% 1.45/1.84 , alpha11( skol13, X, skol19, skol21 ) }.
% 1.45/1.84 parent0: (14085) {G1,W8,D2,L2,V1,M2} { ! member( skol21, X ), alpha11(
% 1.45/1.84 skol13, X, skol19, skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14086) {G2,W5,D2,L1,V0,M1} { alpha11( skol13, skol17, skol19
% 1.45/1.84 , skol21 ) }.
% 1.45/1.84 parent0[0]: (2130) {G4,W8,D2,L2,V1,M2} R(74,1450) { ! member( skol21, X ),
% 1.45/1.84 alpha11( skol13, X, skol19, skol21 ) }.
% 1.45/1.84 parent1[0]: (140) {G1,W3,D2,L1,V0,M1} R(54,112) { member( skol21, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol17
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (11746) {G5,W5,D2,L1,V0,M1} R(2130,140) { alpha11( skol13,
% 1.45/1.84 skol17, skol19, skol21 ) }.
% 1.45/1.84 parent0: (14086) {G2,W5,D2,L1,V0,M1} { alpha11( skol13, skol17, skol19,
% 1.45/1.84 skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 eqswap: (14087) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha5( Z, T, X ), !
% 1.45/1.84 alpha11( Z, T, X, Y ) }.
% 1.45/1.84 parent0[2]: (69) {G0,W12,D2,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! alpha11( X
% 1.45/1.84 , Y, Z, T ), Z = T }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := Z
% 1.45/1.84 Y := T
% 1.45/1.84 Z := X
% 1.45/1.84 T := Y
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14088) {G1,W7,D2,L2,V0,M2} { skol21 = skol19, ! alpha5(
% 1.45/1.84 skol13, skol17, skol19 ) }.
% 1.45/1.84 parent0[2]: (14087) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha5( Z, T, X ), !
% 1.45/1.84 alpha11( Z, T, X, Y ) }.
% 1.45/1.84 parent1[0]: (11746) {G5,W5,D2,L1,V0,M1} R(2130,140) { alpha11( skol13,
% 1.45/1.84 skol17, skol19, skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol19
% 1.45/1.84 Y := skol21
% 1.45/1.84 Z := skol13
% 1.45/1.84 T := skol17
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14089) {G2,W3,D2,L1,V0,M1} { skol21 = skol19 }.
% 1.45/1.84 parent0[1]: (14088) {G1,W7,D2,L2,V0,M2} { skol21 = skol19, ! alpha5(
% 1.45/1.84 skol13, skol17, skol19 ) }.
% 1.45/1.84 parent1[0]: (1836) {G1,W4,D2,L1,V0,M1} R(67,109) { alpha5( skol13, skol17,
% 1.45/1.84 skol19 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (11763) {G6,W3,D2,L1,V0,M1} R(11746,69);r(1836) { skol21 ==>
% 1.45/1.84 skol19 }.
% 1.45/1.84 parent0: (14089) {G2,W3,D2,L1,V0,M1} { skol21 = skol19 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 paramod: (14092) {G4,W4,D2,L1,V0,M1} { apply( skol13, skol20, skol19 ) }.
% 1.45/1.84 parent0[0]: (11763) {G6,W3,D2,L1,V0,M1} R(11746,69);r(1836) { skol21 ==>
% 1.45/1.84 skol19 }.
% 1.45/1.84 parent1[0; 3]: (1449) {G3,W4,D2,L1,V0,M1} R(1384,136) { apply( skol13,
% 1.45/1.84 skol20, skol21 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (11808) {G7,W4,D2,L1,V0,M1} P(11763,1449) { apply( skol13,
% 1.45/1.84 skol20, skol19 ) }.
% 1.45/1.84 parent0: (14092) {G4,W4,D2,L1,V0,M1} { apply( skol13, skol20, skol19 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14093) {G1,W8,D2,L2,V1,M2} { ! member( skol19, X ), alpha11(
% 1.45/1.84 skol13, X, skol20, skol19 ) }.
% 1.45/1.84 parent0[1]: (74) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, Z,
% 1.45/1.84 T ), alpha11( X, Y, Z, T ) }.
% 1.45/1.84 parent1[0]: (11808) {G7,W4,D2,L1,V0,M1} P(11763,1449) { apply( skol13,
% 1.45/1.84 skol20, skol19 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol13
% 1.45/1.84 Y := X
% 1.45/1.84 Z := skol20
% 1.45/1.84 T := skol19
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (11901) {G8,W8,D2,L2,V1,M2} R(11808,74) { ! member( skol19, X
% 1.45/1.84 ), alpha11( skol13, X, skol20, skol19 ) }.
% 1.45/1.84 parent0: (14093) {G1,W8,D2,L2,V1,M2} { ! member( skol19, X ), alpha11(
% 1.45/1.84 skol13, X, skol20, skol19 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := X
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 1 ==> 1
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14094) {G2,W5,D2,L1,V0,M1} { alpha11( skol13, skol17, skol20
% 1.45/1.84 , skol19 ) }.
% 1.45/1.84 parent0[0]: (11901) {G8,W8,D2,L2,V1,M2} R(11808,74) { ! member( skol19, X )
% 1.45/1.84 , alpha11( skol13, X, skol20, skol19 ) }.
% 1.45/1.84 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(66,109) { member( skol19, skol17 )
% 1.45/1.84 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol17
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (13848) {G9,W5,D2,L1,V0,M1} R(11901,135) { alpha11( skol13,
% 1.45/1.84 skol17, skol20, skol19 ) }.
% 1.45/1.84 parent0: (14094) {G2,W5,D2,L1,V0,M1} { alpha11( skol13, skol17, skol20,
% 1.45/1.84 skol19 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 eqswap: (14095) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha5( Z, T, X ), !
% 1.45/1.84 alpha11( Z, T, X, Y ) }.
% 1.45/1.84 parent0[2]: (69) {G0,W12,D2,L3,V4,M3} I { ! alpha5( X, Y, Z ), ! alpha11( X
% 1.45/1.84 , Y, Z, T ), Z = T }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := Z
% 1.45/1.84 Y := T
% 1.45/1.84 Z := X
% 1.45/1.84 T := Y
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14096) {G1,W7,D2,L2,V0,M2} { skol19 = skol20, ! alpha5(
% 1.45/1.84 skol13, skol17, skol20 ) }.
% 1.45/1.84 parent0[2]: (14095) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha5( Z, T, X ), !
% 1.45/1.84 alpha11( Z, T, X, Y ) }.
% 1.45/1.84 parent1[0]: (13848) {G9,W5,D2,L1,V0,M1} R(11901,135) { alpha11( skol13,
% 1.45/1.84 skol17, skol20, skol19 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 X := skol20
% 1.45/1.84 Y := skol19
% 1.45/1.84 Z := skol13
% 1.45/1.84 T := skol17
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14097) {G2,W3,D2,L1,V0,M1} { skol19 = skol20 }.
% 1.45/1.84 parent0[1]: (14096) {G1,W7,D2,L2,V0,M2} { skol19 = skol20, ! alpha5(
% 1.45/1.84 skol13, skol17, skol20 ) }.
% 1.45/1.84 parent1[0]: (1837) {G1,W4,D2,L1,V0,M1} R(67,110) { alpha5( skol13, skol17,
% 1.45/1.84 skol20 ) }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 eqswap: (14098) {G2,W3,D2,L1,V0,M1} { skol20 = skol19 }.
% 1.45/1.84 parent0[0]: (14097) {G2,W3,D2,L1,V0,M1} { skol19 = skol20 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (13851) {G10,W3,D2,L1,V0,M1} R(13848,69);r(1837) { skol20 ==>
% 1.45/1.84 skol19 }.
% 1.45/1.84 parent0: (14098) {G2,W3,D2,L1,V0,M1} { skol20 = skol19 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 0 ==> 0
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 resolution: (14101) {G1,W0,D0,L0,V0,M0} { }.
% 1.45/1.84 parent0[0]: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 1.45/1.84 parent1[0]: (13851) {G10,W3,D2,L1,V0,M1} R(13848,69);r(1837) { skol20 ==>
% 1.45/1.84 skol19 }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 substitution1:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 subsumption: (13852) {G11,W0,D0,L0,V0,M0} S(13851);r(111) { }.
% 1.45/1.84 parent0: (14101) {G1,W0,D0,L0,V0,M0} { }.
% 1.45/1.84 substitution0:
% 1.45/1.84 end
% 1.45/1.84 permutation0:
% 1.45/1.84 end
% 1.45/1.84
% 1.45/1.84 Proof check complete!
% 1.45/1.84
% 1.45/1.84 Memory use:
% 1.45/1.84
% 1.45/1.84 space for terms: 184464
% 1.45/1.84 space for clauses: 574456
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 clauses generated: 69847
% 1.45/1.84 clauses kept: 13853
% 1.45/1.84 clauses selected: 1397
% 1.45/1.84 clauses deleted: 458
% 1.45/1.84 clauses inuse deleted: 431
% 1.45/1.84
% 1.45/1.84 subsentry: 223189
% 1.45/1.84 literals s-matched: 184044
% 1.45/1.84 literals matched: 123187
% 1.45/1.84 full subsumption: 3953
% 1.45/1.84
% 1.45/1.84 checksum: -60647372
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 Bliksem ended
%------------------------------------------------------------------------------