%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 22:52:02 EDT 2022
% Result : Theorem 0.60s 1.05s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : bliksem %s
% 0.19/0.35 % Computer : n012.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % DateTime : Mon Jul 11 04:43:43 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.60/1.03 *** allocated 10000 integers for termspace/termends
% 0.60/1.03 *** allocated 10000 integers for clauses
% 0.60/1.03 *** allocated 10000 integers for justifications
% 0.60/1.03 Bliksem 1.12
% 0.60/1.03
% 0.60/1.03
% 0.60/1.03 Automatic Strategy Selection
% 0.60/1.03
% 0.60/1.03
% 0.60/1.03 Clauses:
% 0.60/1.03
% 0.60/1.03 { ! order( X, Y ), alpha1( X, Y ) }.
% 0.60/1.03 { ! order( X, Y ), alpha9( X, Y ) }.
% 0.60/1.03 { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X, Y ) }.
% 0.60/1.03 { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.60/1.03 { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.60/1.03 { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9( X, Y ) }.
% 0.60/1.03 { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.60/1.03 { alpha23( Y, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X,
% 0.60/1.03 Y ) }.
% 0.60/1.03 { ! alpha25( X, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X
% 0.60/1.03 , Y ) }.
% 0.60/1.03 { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.60/1.03 { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.60/1.03 { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.60/1.03 { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.60/1.03 { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.60/1.03 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.60/1.03 { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.60/1.03 { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T ) }.
% 0.60/1.03 { ! member( Y, X ), ! alpha21( X, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.60/1.03 { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.60/1.03 { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.60/1.03 { ! member( Y, X ), ! member( Z, X ), alpha21( X, Y, Z ) }.
% 0.60/1.03 { ! alpha15( X, Y ), ! alpha20( Y, Z, T ), alpha22( X, Z, T ) }.
% 0.60/1.03 { alpha20( Y, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.60/1.03 { ! alpha22( X, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.60/1.03 { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y = Z }.
% 0.60/1.03 { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.60/1.03 { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.60/1.03 { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.60/1.03 { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.60/1.03 { ! apply( X, Y, Z ), ! apply( X, Z, Y ), alpha24( X, Y, Z ) }.
% 0.60/1.03 { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.60/1.03 { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.60/1.03 { ! member( Y, X ), ! member( Z, X ), alpha20( X, Y, Z ) }.
% 0.60/1.03 { ! alpha1( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.60/1.03 { member( skol3( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.60/1.03 { ! apply( X, skol3( X, Y ), skol3( X, Y ) ), alpha1( X, Y ) }.
% 0.60/1.03 { ! total_order( X, Y ), order( X, Y ) }.
% 0.60/1.03 { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.60/1.03 { ! order( X, Y ), ! alpha2( X, Y ), total_order( X, Y ) }.
% 0.60/1.03 { ! alpha2( X, Y ), ! alpha10( Y, Z, T ), alpha16( X, Z, T ) }.
% 0.60/1.03 { alpha10( Y, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.60/1.03 { ! alpha16( X, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.60/1.03 { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.60/1.03 { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.60/1.03 { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.60/1.03 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.60/1.03 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.60/1.03 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.60/1.03 { ! upper_bound( Z, X, Y ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.60/1.03 { member( skol5( T, Y, U ), Y ), upper_bound( Z, X, Y ) }.
% 0.60/1.03 { ! apply( X, skol5( X, Y, Z ), Z ), upper_bound( Z, X, Y ) }.
% 0.60/1.03 { ! lower_bound( Z, X, Y ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.60/1.03 { member( skol6( T, Y, U ), Y ), lower_bound( Z, X, Y ) }.
% 0.60/1.03 { ! apply( X, Z, skol6( X, Y, Z ) ), lower_bound( Z, X, Y ) }.
% 0.60/1.03 { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.03 { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.60/1.03 { ! member( Z, Y ), ! alpha3( X, Y, Z ), greatest( Z, X, Y ) }.
% 0.60/1.03 { ! alpha3( X, Y, Z ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.60/1.03 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.60/1.03 { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X, Y, Z ) }.
% 0.60/1.03 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.03 { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.60/1.03 { ! member( Z, Y ), ! alpha4( X, Y, Z ), least( Z, X, Y ) }.
% 0.60/1.03 { ! alpha4( X, Y, Z ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.60/1.03 { member( skol8( T, Y, U ), Y ), alpha4( X, Y, Z ) }.
% 0.60/1.03 { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.60/1.03 { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.03 { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.60/1.03 { ! member( Z, Y ), ! alpha5( X, Y, Z ), max( Z, X, Y ) }.
% 0.60/1.03 { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T ), Z = T }.
% 0.60/1.03 { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z ) }.
% 0.60/1.03 { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.60/1.03 { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.60/1.05 { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.60/1.05 { ! member( T, Y ), ! apply( X, Z, T ), alpha11( X, Y, Z, T ) }.
% 0.60/1.05 { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.05 { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.60/1.05 { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z, X, Y ) }.
% 0.60/1.05 { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T ), Z = T }.
% 0.60/1.05 { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z ) }.
% 0.60/1.05 { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 0.60/1.05 { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.60/1.05 { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.60/1.05 { ! member( T, Y ), ! apply( X, T, Z ), alpha12( X, Y, Z, T ) }.
% 0.60/1.05 { ! least_upper_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.60/1.05 { ! least_upper_bound( X, Y, Z, T ), alpha7( X, Y, Z, T ) }.
% 0.60/1.05 { ! member( X, Y ), ! alpha7( X, Y, Z, T ), least_upper_bound( X, Y, Z, T )
% 0.60/1.05 }.
% 0.60/1.05 { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y ) }.
% 0.60/1.05 { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.60/1.05 { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z, T ), alpha7( X, Y, Z, T ) }
% 0.60/1.05 .
% 0.60/1.05 { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T, U ), apply( Z, X, U ) }.
% 0.60/1.05 { ! apply( Z, X, skol11( X, U, Z, W ) ), alpha13( X, Y, Z, T ) }.
% 0.60/1.05 { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ), alpha13( X, Y, Z, T ) }.
% 0.60/1.05 { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.60/1.05 { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X ) }.
% 0.60/1.05 { ! member( T, Z ), ! upper_bound( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 0.60/1.05 { ! greatest_lower_bound( X, Y, Z, T ), member( X, Y ) }.
% 0.60/1.05 { ! greatest_lower_bound( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 0.60/1.05 { ! member( X, Y ), ! alpha8( X, Y, Z, T ), greatest_lower_bound( X, Y, Z,
% 0.60/1.05 T ) }.
% 0.60/1.05 { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y ) }.
% 0.60/1.05 { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T ) }.
% 0.60/1.05 { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z, T ), alpha8( X, Y, Z, T ) }
% 0.60/1.05 .
% 0.60/1.05 { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T, U ), apply( Z, U, X ) }.
% 0.60/1.05 { ! apply( Z, skol12( X, U, Z, W ), X ), alpha14( X, Y, Z, T ) }.
% 0.60/1.05 { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ), alpha14( X, Y, Z, T ) }.
% 0.60/1.05 { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.60/1.05 { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X ) }.
% 0.60/1.05 { ! member( T, Z ), ! lower_bound( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 0.60/1.05 { order( skol13, skol17 ) }.
% 0.60/1.05 { greatest( skol19, skol13, skol17 ) }.
% 0.60/1.05 { greatest( skol20, skol13, skol17 ) }.
% 0.60/1.05 { ! skol19 = skol20 }.
% 0.60/1.05
% 0.60/1.05 percentage equality = 0.027344, percentage horn = 0.866071
% 0.60/1.05 This is a problem with some equality
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05 Options Used:
% 0.60/1.05
% 0.60/1.05 useres = 1
% 0.60/1.05 useparamod = 1
% 0.60/1.05 useeqrefl = 1
% 0.60/1.05 useeqfact = 1
% 0.60/1.05 usefactor = 1
% 0.60/1.05 usesimpsplitting = 0
% 0.60/1.05 usesimpdemod = 5
% 0.60/1.05 usesimpres = 3
% 0.60/1.05
% 0.60/1.05 resimpinuse = 1000
% 0.60/1.05 resimpclauses = 20000
% 0.60/1.05 substype = eqrewr
% 0.60/1.05 backwardsubs = 1
% 0.60/1.05 selectoldest = 5
% 0.60/1.05
% 0.60/1.05 litorderings [0] = split
% 0.60/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.60/1.05
% 0.60/1.05 termordering = kbo
% 0.60/1.05
% 0.60/1.05 litapriori = 0
% 0.60/1.05 termapriori = 1
% 0.60/1.05 litaposteriori = 0
% 0.60/1.05 termaposteriori = 0
% 0.60/1.05 demodaposteriori = 0
% 0.60/1.05 ordereqreflfact = 0
% 0.60/1.05
% 0.60/1.05 litselect = negord
% 0.60/1.05
% 0.60/1.05 maxweight = 15
% 0.60/1.05 maxdepth = 30000
% 0.60/1.05 maxlength = 115
% 0.60/1.05 maxnrvars = 195
% 0.60/1.05 excuselevel = 1
% 0.60/1.05 increasemaxweight = 1
% 0.60/1.05
% 0.60/1.05 maxselected = 10000000
% 0.60/1.05 maxnrclauses = 10000000
% 0.60/1.05
% 0.60/1.05 showgenerated = 0
% 0.60/1.05 showkept = 0
% 0.60/1.05 showselected = 0
% 0.60/1.05 showdeleted = 0
% 0.60/1.05 showresimp = 1
% 0.60/1.05 showstatus = 2000
% 0.60/1.05
% 0.60/1.05 prologoutput = 0
% 0.60/1.05 nrgoals = 5000000
% 0.60/1.05 totalproof = 1
% 0.60/1.05
% 0.60/1.05 Symbols occurring in the translation:
% 0.60/1.05
% 0.60/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.60/1.05 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.60/1.05 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.60/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/1.05 order [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.60/1.05 member [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.60/1.05 apply [40, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.60/1.05 total_order [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.60/1.05 upper_bound [45, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.60/1.05 lower_bound [46, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.60/1.05 greatest [47, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.60/1.05 least [48, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.60/1.05 max [49, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.60/1.05 min [50, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.60/1.05 least_upper_bound [52, 4] (w:1, o:85, a:1, s:1, b:0),
% 0.60/1.05 greatest_lower_bound [53, 4] (w:1, o:86, a:1, s:1, b:0),
% 0.60/1.05 alpha1 [54, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.60/1.05 alpha2 [55, 2] (w:1, o:60, a:1, s:1, b:1),
% 0.60/1.05 alpha3 [56, 3] (w:1, o:73, a:1, s:1, b:1),
% 0.60/1.05 alpha4 [57, 3] (w:1, o:74, a:1, s:1, b:1),
% 0.60/1.05 alpha5 [58, 3] (w:1, o:75, a:1, s:1, b:1),
% 0.60/1.05 alpha6 [59, 3] (w:1, o:76, a:1, s:1, b:1),
% 0.60/1.05 alpha7 [60, 4] (w:1, o:87, a:1, s:1, b:1),
% 0.60/1.05 alpha8 [61, 4] (w:1, o:88, a:1, s:1, b:1),
% 0.60/1.05 alpha9 [62, 2] (w:1, o:61, a:1, s:1, b:1),
% 0.60/1.05 alpha10 [63, 3] (w:1, o:77, a:1, s:1, b:1),
% 0.60/1.05 alpha11 [64, 4] (w:1, o:89, a:1, s:1, b:1),
% 0.60/1.05 alpha12 [65, 4] (w:1, o:90, a:1, s:1, b:1),
% 0.60/1.05 alpha13 [66, 4] (w:1, o:91, a:1, s:1, b:1),
% 0.60/1.05 alpha14 [67, 4] (w:1, o:92, a:1, s:1, b:1),
% 0.60/1.05 alpha15 [68, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.60/1.05 alpha16 [69, 3] (w:1, o:78, a:1, s:1, b:1),
% 0.60/1.05 alpha17 [70, 4] (w:1, o:93, a:1, s:1, b:1),
% 0.60/1.05 alpha18 [71, 4] (w:1, o:94, a:1, s:1, b:1),
% 0.60/1.05 alpha19 [72, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.60/1.05 alpha20 [73, 3] (w:1, o:69, a:1, s:1, b:1),
% 0.60/1.05 alpha21 [74, 3] (w:1, o:70, a:1, s:1, b:1),
% 0.60/1.05 alpha22 [75, 3] (w:1, o:71, a:1, s:1, b:1),
% 0.60/1.05 alpha23 [76, 4] (w:1, o:95, a:1, s:1, b:1),
% 0.60/1.05 alpha24 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 0.60/1.05 alpha25 [78, 4] (w:1, o:96, a:1, s:1, b:1),
% 0.60/1.05 alpha26 [79, 4] (w:1, o:97, a:1, s:1, b:1),
% 0.60/1.05 skol1 [80, 2] (w:1, o:48, a:1, s:1, b:1),
% 0.60/1.05 skol2 [81, 2] (w:1, o:53, a:1, s:1, b:1),
% 0.60/1.05 skol3 [82, 2] (w:1, o:54, a:1, s:1, b:1),
% 0.60/1.05 skol4 [83, 2] (w:1, o:55, a:1, s:1, b:1),
% 0.60/1.05 skol5 [84, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.60/1.05 skol6 [85, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.60/1.05 skol7 [86, 3] (w:1, o:81, a:1, s:1, b:1),
% 0.60/1.05 skol8 [87, 3] (w:1, o:82, a:1, s:1, b:1),
% 0.60/1.05 skol9 [88, 3] (w:1, o:83, a:1, s:1, b:1),
% 0.60/1.05 skol10 [89, 3] (w:1, o:84, a:1, s:1, b:1),
% 0.60/1.05 skol11 [90, 4] (w:1, o:98, a:1, s:1, b:1),
% 0.60/1.05 skol12 [91, 4] (w:1, o:99, a:1, s:1, b:1),
% 0.60/1.05 skol13 [92, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.60/1.05 skol14 [93, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.60/1.05 skol15 [94, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.60/1.05 skol16 [95, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.60/1.05 skol17 [96, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.60/1.05 skol18 [97, 2] (w:1, o:52, a:1, s:1, b:1),
% 0.60/1.05 skol19 [98, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.60/1.05 skol20 [99, 0] (w:1, o:16, a:1, s:1, b:1).
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05 Starting Search:
% 0.60/1.05
% 0.60/1.05 *** allocated 15000 integers for clauses
% 0.60/1.05 *** allocated 22500 integers for clauses
% 0.60/1.05 *** allocated 33750 integers for clauses
% 0.60/1.05 *** allocated 15000 integers for termspace/termends
% 0.60/1.05 *** allocated 50625 integers for clauses
% 0.60/1.05 Resimplifying inuse:
% 0.60/1.05 Done
% 0.60/1.05
% 0.60/1.05 *** allocated 22500 integers for termspace/termends
% 0.60/1.05 *** allocated 75937 integers for clauses
% 0.60/1.05
% 0.60/1.05 Bliksems!, er is een bewijs:
% 0.60/1.05 % SZS status Theorem
% 0.60/1.05 % SZS output start Refutation
% 0.60/1.05
% 0.60/1.05 (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y ) }.
% 0.60/1.05 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.60/1.05 (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.60/1.05 alpha22( X, Z, T ) }.
% 0.60/1.05 (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y
% 0.60/1.05 = Z }.
% 0.60/1.05 (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.60/1.05 alpha24( X, Y, Z ) }.
% 0.60/1.05 (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X ), alpha20(
% 0.60/1.05 X, Y, Z ) }.
% 0.60/1.05 (54) {G0,W7,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.05 (55) {G0,W8,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.60/1.05 (57) {G0,W11,D2,L3,V4,M3} I { ! alpha3( X, Y, Z ), ! member( T, Y ), apply
% 0.60/1.05 ( X, T, Z ) }.
% 0.60/1.05 (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.60/1.05 (109) {G0,W4,D2,L1,V0,M1} I { greatest( skol19, skol13, skol17 ) }.
% 0.60/1.05 (110) {G0,W4,D2,L1,V0,M1} I { greatest( skol20, skol13, skol17 ) }.
% 0.60/1.05 (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 0.60/1.05 (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 ) }.
% 0.60/1.05 (127) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 ) }.
% 0.60/1.05 (134) {G1,W3,D2,L1,V0,M1} R(54,109) { member( skol19, skol17 ) }.
% 0.60/1.05 (135) {G1,W3,D2,L1,V0,M1} R(54,110) { member( skol20, skol17 ) }.
% 0.60/1.05 (464) {G1,W4,D2,L1,V0,M1} R(55,109) { alpha3( skol13, skol17, skol19 ) }.
% 0.60/1.05 (465) {G1,W4,D2,L1,V0,M1} R(55,110) { alpha3( skol13, skol17, skol20 ) }.
% 0.60/1.05 (527) {G2,W7,D2,L2,V1,M2} R(32,135) { ! member( X, skol17 ), alpha20(
% 0.60/1.05 skol17, X, skol20 ) }.
% 0.60/1.05 (1130) {G3,W4,D2,L1,V0,M1} R(527,134) { alpha20( skol17, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 (1137) {G4,W7,D2,L2,V1,M2} R(1130,21) { ! alpha15( X, skol17 ), alpha22( X
% 0.60/1.05 , skol19, skol20 ) }.
% 0.60/1.05 (1143) {G5,W4,D2,L1,V0,M1} R(1137,127) { alpha22( skol13, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 (1177) {G6,W7,D2,L2,V0,M2} R(1143,24) { ! alpha24( skol13, skol19, skol20 )
% 0.60/1.05 , skol20 ==> skol19 }.
% 0.60/1.05 (1264) {G7,W4,D2,L1,V0,M1} S(1177);r(111) { ! alpha24( skol13, skol19,
% 0.60/1.05 skol20 ) }.
% 0.60/1.05 (1325) {G2,W7,D2,L2,V1,M2} R(57,465) { ! member( X, skol17 ), apply( skol13
% 0.60/1.05 , X, skol20 ) }.
% 0.60/1.05 (1378) {G3,W4,D2,L1,V0,M1} R(1325,134) { apply( skol13, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 (1390) {G8,W4,D2,L1,V0,M1} R(1378,29);r(1264) { ! apply( skol13, skol20,
% 0.60/1.05 skol19 ) }.
% 0.60/1.05 (1401) {G9,W7,D2,L2,V1,M2} R(1390,57) { ! alpha3( skol13, X, skol19 ), !
% 0.60/1.05 member( skol20, X ) }.
% 0.60/1.05 (1469) {G10,W0,D0,L0,V0,M0} R(1401,464);r(135) { }.
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05 % SZS output end Refutation
% 0.60/1.05 found a proof!
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05 Unprocessed initial clauses:
% 0.60/1.05
% 0.60/1.05 (1471) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 0.60/1.05 (1472) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.60/1.05 (1473) {G0,W9,D2,L3,V2,M3} { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X
% 0.60/1.05 , Y ) }.
% 0.60/1.05 (1474) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.60/1.05 (1475) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.60/1.05 (1476) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9
% 0.60/1.05 ( X, Y ) }.
% 0.60/1.05 (1477) {G0,W13,D2,L3,V5,M3} { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ),
% 0.60/1.05 alpha25( X, Z, T, U ) }.
% 0.60/1.05 (1478) {G0,W14,D3,L2,V2,M2} { alpha23( Y, skol1( X, Y ), skol14( X, Y ),
% 0.60/1.05 skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.60/1.05 (1479) {G0,W14,D3,L2,V2,M2} { ! alpha25( X, skol1( X, Y ), skol14( X, Y )
% 0.60/1.05 , skol18( X, Y ) ), alpha19( X, Y ) }.
% 0.60/1.05 (1480) {G0,W14,D2,L3,V4,M3} { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z
% 0.60/1.05 , T ), apply( X, Y, T ) }.
% 0.60/1.05 (1481) {G0,W10,D2,L2,V4,M2} { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T )
% 0.60/1.05 }.
% 0.60/1.05 (1482) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.60/1.05 (1483) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.60/1.05 (1484) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.60/1.05 (1485) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 0.60/1.05 alpha26( X, Y, Z, T ) }.
% 0.60/1.05 (1486) {G0,W8,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.60/1.05 (1487) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T )
% 0.60/1.05 }.
% 0.60/1.05 (1488) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha21( X, Z, T ),
% 0.60/1.05 alpha23( X, Y, Z, T ) }.
% 0.60/1.05 (1489) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.60/1.05 (1490) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.60/1.05 (1491) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha21
% 0.60/1.05 ( X, Y, Z ) }.
% 0.60/1.05 (1492) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 0.60/1.05 alpha22( X, Z, T ) }.
% 0.60/1.05 (1493) {G0,W11,D3,L2,V2,M2} { alpha20( Y, skol2( X, Y ), skol15( X, Y ) )
% 0.60/1.05 , alpha15( X, Y ) }.
% 0.60/1.05 (1494) {G0,W11,D3,L2,V2,M2} { ! alpha22( X, skol2( X, Y ), skol15( X, Y )
% 0.60/1.05 ), alpha15( X, Y ) }.
% 0.60/1.05 (1495) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ),
% 0.60/1.05 Y = Z }.
% 0.60/1.05 (1496) {G0,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.60/1.05 (1497) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.60/1.05 (1498) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.60/1.05 (1499) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.60/1.05 (1500) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 0.60/1.05 alpha24( X, Y, Z ) }.
% 0.60/1.05 (1501) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.60/1.05 (1502) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.60/1.05 (1503) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha20
% 0.60/1.05 ( X, Y, Z ) }.
% 0.60/1.05 (1504) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y ), apply( X
% 0.60/1.05 , Z, Z ) }.
% 0.60/1.05 (1505) {G0,W8,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), alpha1( X, Y )
% 0.60/1.05 }.
% 0.60/1.05 (1506) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol3( X, Y ), skol3( X, Y ) ),
% 0.60/1.05 alpha1( X, Y ) }.
% 0.60/1.05 (1507) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y ) }.
% 0.60/1.05 (1508) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.60/1.05 (1509) {G0,W9,D2,L3,V2,M3} { ! order( X, Y ), ! alpha2( X, Y ),
% 0.60/1.05 total_order( X, Y ) }.
% 0.60/1.05 (1510) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 0.60/1.05 alpha16( X, Z, T ) }.
% 0.60/1.05 (1511) {G0,W11,D3,L2,V2,M2} { alpha10( Y, skol4( X, Y ), skol16( X, Y ) )
% 0.60/1.05 , alpha2( X, Y ) }.
% 0.60/1.05 (1512) {G0,W11,D3,L2,V2,M2} { ! alpha16( X, skol4( X, Y ), skol16( X, Y )
% 0.60/1.05 ), alpha2( X, Y ) }.
% 0.60/1.05 (1513) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y, Z ),
% 0.60/1.05 apply( X, Z, Y ) }.
% 0.60/1.05 (1514) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.60/1.05 (1515) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.60/1.05 (1516) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.60/1.05 (1517) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.60/1.05 (1518) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 0.60/1.05 ( X, Y, Z ) }.
% 0.60/1.05 (1519) {G0,W11,D2,L3,V4,M3} { ! upper_bound( Z, X, Y ), ! member( T, Y ),
% 0.60/1.05 apply( X, T, Z ) }.
% 0.60/1.05 (1520) {G0,W10,D3,L2,V5,M2} { member( skol5( T, Y, U ), Y ), upper_bound(
% 0.60/1.05 Z, X, Y ) }.
% 0.60/1.05 (1521) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol5( X, Y, Z ), Z ),
% 0.60/1.05 upper_bound( Z, X, Y ) }.
% 0.60/1.05 (1522) {G0,W11,D2,L3,V4,M3} { ! lower_bound( Z, X, Y ), ! member( T, Y ),
% 0.60/1.05 apply( X, Z, T ) }.
% 0.60/1.05 (1523) {G0,W10,D3,L2,V5,M2} { member( skol6( T, Y, U ), Y ), lower_bound(
% 0.60/1.05 Z, X, Y ) }.
% 0.60/1.05 (1524) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol6( X, Y, Z ) ),
% 0.60/1.05 lower_bound( Z, X, Y ) }.
% 0.60/1.05 (1525) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.05 (1526) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.60/1.05 (1527) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 0.60/1.05 greatest( Z, X, Y ) }.
% 0.60/1.05 (1528) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ), apply
% 0.60/1.05 ( X, T, Z ) }.
% 0.60/1.05 (1529) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 0.60/1.05 , Z ) }.
% 0.60/1.05 (1530) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X
% 0.60/1.05 , Y, Z ) }.
% 0.60/1.05 (1531) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.05 (1532) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.60/1.05 (1533) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z ), least
% 0.60/1.05 ( Z, X, Y ) }.
% 0.60/1.05 (1534) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 0.60/1.05 ( X, Z, T ) }.
% 0.60/1.05 (1535) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ), alpha4( X, Y
% 0.60/1.05 , Z ) }.
% 0.60/1.05 (1536) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X
% 0.60/1.05 , Y, Z ) }.
% 0.60/1.05 (1537) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.05 (1538) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.60/1.05 (1539) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha5( X, Y, Z ), max(
% 0.60/1.05 Z, X, Y ) }.
% 0.60/1.05 (1540) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T )
% 0.60/1.05 , Z = T }.
% 0.60/1.05 (1541) {G0,W10,D3,L2,V5,M2} { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z )
% 0.60/1.05 }.
% 0.60/1.05 (1542) {G0,W12,D3,L2,V3,M2} { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5
% 0.60/1.05 ( X, Y, Z ) }.
% 0.60/1.05 (1543) {G0,W8,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 0.60/1.05 (1544) {G0,W9,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.60/1.05 (1545) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 0.60/1.05 alpha11( X, Y, Z, T ) }.
% 0.60/1.05 (1546) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 0.60/1.05 (1547) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 0.60/1.05 (1548) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z ), min(
% 0.60/1.05 Z, X, Y ) }.
% 0.60/1.05 (1549) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T )
% 0.60/1.05 , Z = T }.
% 0.60/1.05 (1550) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z )
% 0.60/1.05 }.
% 0.60/1.05 (1551) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z ) ),
% 0.60/1.05 alpha6( X, Y, Z ) }.
% 0.60/1.05 (1552) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 0.60/1.05 (1553) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 0.60/1.05 (1554) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z ),
% 0.60/1.05 alpha12( X, Y, Z, T ) }.
% 0.60/1.05 (1555) {G0,W8,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), member( X
% 0.60/1.05 , Y ) }.
% 0.60/1.05 (1556) {G0,W10,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), alpha7( X
% 0.60/1.05 , Y, Z, T ) }.
% 0.60/1.05 (1557) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha7( X, Y, Z, T ),
% 0.60/1.05 least_upper_bound( X, Y, Z, T ) }.
% 0.60/1.05 (1558) {G0,W9,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y
% 0.60/1.05 ) }.
% 0.60/1.05 (1559) {G0,W10,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T
% 0.60/1.05 ) }.
% 0.60/1.05 (1560) {G0,W14,D2,L3,V4,M3} { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z
% 0.60/1.05 , T ), alpha7( X, Y, Z, T ) }.
% 0.60/1.05 (1561) {G0,W14,D2,L3,V5,M3} { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T
% 0.60/1.05 , U ), apply( Z, X, U ) }.
% 0.60/1.05 (1562) {G0,W13,D3,L2,V6,M2} { ! apply( Z, X, skol11( X, U, Z, W ) ),
% 0.60/1.05 alpha13( X, Y, Z, T ) }.
% 0.60/1.05 (1563) {G0,W14,D3,L2,V4,M2} { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ),
% 0.60/1.05 alpha13( X, Y, Z, T ) }.
% 0.60/1.05 (1564) {G0,W8,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 0.60/1.05 (1565) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X
% 0.60/1.05 ) }.
% 0.60/1.05 (1566) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! upper_bound( T, Y, X ),
% 0.60/1.05 alpha17( X, Y, Z, T ) }.
% 0.60/1.05 (1567) {G0,W8,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), member
% 0.60/1.05 ( X, Y ) }.
% 0.60/1.05 (1568) {G0,W10,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), alpha8
% 0.60/1.05 ( X, Y, Z, T ) }.
% 0.60/1.05 (1569) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha8( X, Y, Z, T ),
% 0.60/1.05 greatest_lower_bound( X, Y, Z, T ) }.
% 0.60/1.05 (1570) {G0,W9,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y
% 0.60/1.05 ) }.
% 0.60/1.05 (1571) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T
% 0.60/1.05 ) }.
% 0.60/1.05 (1572) {G0,W14,D2,L3,V4,M3} { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z
% 0.60/1.05 , T ), alpha8( X, Y, Z, T ) }.
% 0.60/1.05 (1573) {G0,W14,D2,L3,V5,M3} { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T
% 0.60/1.05 , U ), apply( Z, U, X ) }.
% 0.60/1.05 (1574) {G0,W13,D3,L2,V6,M2} { ! apply( Z, skol12( X, U, Z, W ), X ),
% 0.60/1.05 alpha14( X, Y, Z, T ) }.
% 0.60/1.05 (1575) {G0,W14,D3,L2,V4,M2} { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ),
% 0.60/1.05 alpha14( X, Y, Z, T ) }.
% 0.60/1.05 (1576) {G0,W8,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 0.60/1.05 (1577) {G0,W9,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X
% 0.60/1.05 ) }.
% 0.60/1.05 (1578) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! lower_bound( T, Y, X ),
% 0.60/1.05 alpha18( X, Y, Z, T ) }.
% 0.60/1.05 (1579) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.60/1.05 (1580) {G0,W4,D2,L1,V0,M1} { greatest( skol19, skol13, skol17 ) }.
% 0.60/1.05 (1581) {G0,W4,D2,L1,V0,M1} { greatest( skol20, skol13, skol17 ) }.
% 0.60/1.05 (1582) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05 Total Proof:
% 0.60/1.05
% 0.60/1.05 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y )
% 0.60/1.05 }.
% 0.60/1.05 parent0: (1472) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y )
% 0.60/1.05 }.
% 0.60/1.05 parent0: (1474) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y
% 0.60/1.05 , Z, T ), alpha22( X, Z, T ) }.
% 0.60/1.05 parent0: (1492) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z
% 0.60/1.05 , T ), alpha22( X, Z, T ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 Z := Z
% 0.60/1.05 T := T
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 2 ==> 2
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24
% 0.60/1.05 ( X, Y, Z ), Y = Z }.
% 0.60/1.05 parent0: (1495) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X
% 0.60/1.05 , Y, Z ), Y = Z }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 Z := Z
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 2 ==> 2
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X,
% 0.60/1.05 Z, Y ), alpha24( X, Y, Z ) }.
% 0.60/1.05 parent0: (1500) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z,
% 0.60/1.05 Y ), alpha24( X, Y, Z ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 Z := Z
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 2 ==> 2
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.60/1.05 ), alpha20( X, Y, Z ) }.
% 0.60/1.05 parent0: (1503) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X )
% 0.60/1.05 , alpha20( X, Y, Z ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 Z := Z
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 2 ==> 2
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (54) {G0,W7,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), member( Z
% 0.60/1.05 , Y ) }.
% 0.60/1.05 parent0: (1525) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y
% 0.60/1.05 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 Z := Z
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (55) {G0,W8,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), alpha3( X
% 0.60/1.05 , Y, Z ) }.
% 0.60/1.05 parent0: (1526) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y
% 0.60/1.05 , Z ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 Z := Z
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (57) {G0,W11,D2,L3,V4,M3} I { ! alpha3( X, Y, Z ), ! member( T
% 0.60/1.05 , Y ), apply( X, T, Z ) }.
% 0.60/1.05 parent0: (1528) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y
% 0.60/1.05 ), apply( X, T, Z ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := Y
% 0.60/1.05 Z := Z
% 0.60/1.05 T := T
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 2 ==> 2
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.60/1.05 parent0: (1579) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (109) {G0,W4,D2,L1,V0,M1} I { greatest( skol19, skol13, skol17
% 0.60/1.05 ) }.
% 0.60/1.05 parent0: (1580) {G0,W4,D2,L1,V0,M1} { greatest( skol19, skol13, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (110) {G0,W4,D2,L1,V0,M1} I { greatest( skol20, skol13, skol17
% 0.60/1.05 ) }.
% 0.60/1.05 parent0: (1581) {G0,W4,D2,L1,V0,M1} { greatest( skol20, skol13, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 eqswap: (1671) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 0.60/1.05 parent0[0]: (1582) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 0.60/1.05 parent0: (1671) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1672) {G1,W3,D2,L1,V0,M1} { alpha9( skol13, skol17 ) }.
% 0.60/1.05 parent0[0]: (1) {G0,W6,D2,L2,V2,M2} I { ! order( X, Y ), alpha9( X, Y ) }.
% 0.60/1.05 parent1[0]: (108) {G0,W3,D2,L1,V0,M1} I { order( skol13, skol17 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol17
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 parent0: (1672) {G1,W3,D2,L1,V0,M1} { alpha9( skol13, skol17 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1673) {G1,W3,D2,L1,V0,M1} { alpha15( skol13, skol17 ) }.
% 0.60/1.05 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha9( X, Y ), alpha15( X, Y )
% 0.60/1.05 }.
% 0.60/1.05 parent1[0]: (122) {G1,W3,D2,L1,V0,M1} R(1,108) { alpha9( skol13, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol17
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (127) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 parent0: (1673) {G1,W3,D2,L1,V0,M1} { alpha15( skol13, skol17 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1674) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.60/1.05 parent0[0]: (54) {G0,W7,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), member( Z,
% 0.60/1.05 Y ) }.
% 0.60/1.05 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { greatest( skol19, skol13, skol17
% 0.60/1.05 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol17
% 0.60/1.05 Z := skol19
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (134) {G1,W3,D2,L1,V0,M1} R(54,109) { member( skol19, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 parent0: (1674) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1675) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 0.60/1.05 parent0[0]: (54) {G0,W7,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), member( Z,
% 0.60/1.05 Y ) }.
% 0.60/1.05 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { greatest( skol20, skol13, skol17
% 0.60/1.05 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol17
% 0.60/1.05 Z := skol20
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (135) {G1,W3,D2,L1,V0,M1} R(54,110) { member( skol20, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 parent0: (1675) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1676) {G1,W4,D2,L1,V0,M1} { alpha3( skol13, skol17, skol19 )
% 0.60/1.05 }.
% 0.60/1.05 parent0[0]: (55) {G0,W8,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), alpha3( X,
% 0.60/1.05 Y, Z ) }.
% 0.60/1.05 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { greatest( skol19, skol13, skol17
% 0.60/1.05 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol17
% 0.60/1.05 Z := skol19
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (464) {G1,W4,D2,L1,V0,M1} R(55,109) { alpha3( skol13, skol17,
% 0.60/1.05 skol19 ) }.
% 0.60/1.05 parent0: (1676) {G1,W4,D2,L1,V0,M1} { alpha3( skol13, skol17, skol19 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1677) {G1,W4,D2,L1,V0,M1} { alpha3( skol13, skol17, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 parent0[0]: (55) {G0,W8,D2,L2,V3,M2} I { ! greatest( Z, X, Y ), alpha3( X,
% 0.60/1.05 Y, Z ) }.
% 0.60/1.05 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { greatest( skol20, skol13, skol17
% 0.60/1.05 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol17
% 0.60/1.05 Z := skol20
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (465) {G1,W4,D2,L1,V0,M1} R(55,110) { alpha3( skol13, skol17,
% 0.60/1.05 skol20 ) }.
% 0.60/1.05 parent0: (1677) {G1,W4,D2,L1,V0,M1} { alpha3( skol13, skol17, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1679) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha20(
% 0.60/1.05 skol17, X, skol20 ) }.
% 0.60/1.05 parent0[1]: (32) {G0,W10,D2,L3,V3,M3} I { ! member( Y, X ), ! member( Z, X
% 0.60/1.05 ), alpha20( X, Y, Z ) }.
% 0.60/1.05 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(54,110) { member( skol20, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol17
% 0.60/1.05 Y := X
% 0.60/1.05 Z := skol20
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (527) {G2,W7,D2,L2,V1,M2} R(32,135) { ! member( X, skol17 ),
% 0.60/1.05 alpha20( skol17, X, skol20 ) }.
% 0.60/1.05 parent0: (1679) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), alpha20(
% 0.60/1.05 skol17, X, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1680) {G2,W4,D2,L1,V0,M1} { alpha20( skol17, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 parent0[0]: (527) {G2,W7,D2,L2,V1,M2} R(32,135) { ! member( X, skol17 ),
% 0.60/1.05 alpha20( skol17, X, skol20 ) }.
% 0.60/1.05 parent1[0]: (134) {G1,W3,D2,L1,V0,M1} R(54,109) { member( skol19, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol19
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1130) {G3,W4,D2,L1,V0,M1} R(527,134) { alpha20( skol17,
% 0.60/1.05 skol19, skol20 ) }.
% 0.60/1.05 parent0: (1680) {G2,W4,D2,L1,V0,M1} { alpha20( skol17, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1681) {G1,W7,D2,L2,V1,M2} { ! alpha15( X, skol17 ), alpha22(
% 0.60/1.05 X, skol19, skol20 ) }.
% 0.60/1.05 parent0[1]: (21) {G0,W11,D2,L3,V4,M3} I { ! alpha15( X, Y ), ! alpha20( Y,
% 0.60/1.05 Z, T ), alpha22( X, Z, T ) }.
% 0.60/1.05 parent1[0]: (1130) {G3,W4,D2,L1,V0,M1} R(527,134) { alpha20( skol17, skol19
% 0.60/1.05 , skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 Y := skol17
% 0.60/1.05 Z := skol19
% 0.60/1.05 T := skol20
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1137) {G4,W7,D2,L2,V1,M2} R(1130,21) { ! alpha15( X, skol17 )
% 0.60/1.05 , alpha22( X, skol19, skol20 ) }.
% 0.60/1.05 parent0: (1681) {G1,W7,D2,L2,V1,M2} { ! alpha15( X, skol17 ), alpha22( X,
% 0.60/1.05 skol19, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1682) {G3,W4,D2,L1,V0,M1} { alpha22( skol13, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 parent0[0]: (1137) {G4,W7,D2,L2,V1,M2} R(1130,21) { ! alpha15( X, skol17 )
% 0.60/1.05 , alpha22( X, skol19, skol20 ) }.
% 0.60/1.05 parent1[0]: (127) {G2,W3,D2,L1,V0,M1} R(3,122) { alpha15( skol13, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1143) {G5,W4,D2,L1,V0,M1} R(1137,127) { alpha22( skol13,
% 0.60/1.05 skol19, skol20 ) }.
% 0.60/1.05 parent0: (1682) {G3,W4,D2,L1,V0,M1} { alpha22( skol13, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 eqswap: (1683) {G0,W11,D2,L3,V3,M3} { Y = X, ! alpha22( Z, X, Y ), !
% 0.60/1.05 alpha24( Z, X, Y ) }.
% 0.60/1.05 parent0[2]: (24) {G0,W11,D2,L3,V3,M3} I { ! alpha22( X, Y, Z ), ! alpha24(
% 0.60/1.05 X, Y, Z ), Y = Z }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := Z
% 0.60/1.05 Y := X
% 0.60/1.05 Z := Y
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1684) {G1,W7,D2,L2,V0,M2} { skol20 = skol19, ! alpha24(
% 0.60/1.05 skol13, skol19, skol20 ) }.
% 0.60/1.05 parent0[1]: (1683) {G0,W11,D2,L3,V3,M3} { Y = X, ! alpha22( Z, X, Y ), !
% 0.60/1.05 alpha24( Z, X, Y ) }.
% 0.60/1.05 parent1[0]: (1143) {G5,W4,D2,L1,V0,M1} R(1137,127) { alpha22( skol13,
% 0.60/1.05 skol19, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol19
% 0.60/1.05 Y := skol20
% 0.60/1.05 Z := skol13
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1177) {G6,W7,D2,L2,V0,M2} R(1143,24) { ! alpha24( skol13,
% 0.60/1.05 skol19, skol20 ), skol20 ==> skol19 }.
% 0.60/1.05 parent0: (1684) {G1,W7,D2,L2,V0,M2} { skol20 = skol19, ! alpha24( skol13,
% 0.60/1.05 skol19, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 1
% 0.60/1.05 1 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1688) {G1,W4,D2,L1,V0,M1} { ! alpha24( skol13, skol19, skol20
% 0.60/1.05 ) }.
% 0.60/1.05 parent0[0]: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 0.60/1.05 parent1[1]: (1177) {G6,W7,D2,L2,V0,M2} R(1143,24) { ! alpha24( skol13,
% 0.60/1.05 skol19, skol20 ), skol20 ==> skol19 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1264) {G7,W4,D2,L1,V0,M1} S(1177);r(111) { ! alpha24( skol13
% 0.60/1.05 , skol19, skol20 ) }.
% 0.60/1.05 parent0: (1688) {G1,W4,D2,L1,V0,M1} { ! alpha24( skol13, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1689) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply(
% 0.60/1.05 skol13, X, skol20 ) }.
% 0.60/1.05 parent0[0]: (57) {G0,W11,D2,L3,V4,M3} I { ! alpha3( X, Y, Z ), ! member( T
% 0.60/1.05 , Y ), apply( X, T, Z ) }.
% 0.60/1.05 parent1[0]: (465) {G1,W4,D2,L1,V0,M1} R(55,110) { alpha3( skol13, skol17,
% 0.60/1.05 skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol17
% 0.60/1.05 Z := skol20
% 0.60/1.05 T := X
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1325) {G2,W7,D2,L2,V1,M2} R(57,465) { ! member( X, skol17 ),
% 0.60/1.05 apply( skol13, X, skol20 ) }.
% 0.60/1.05 parent0: (1689) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply( skol13
% 0.60/1.05 , X, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1690) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol20 )
% 0.60/1.05 }.
% 0.60/1.05 parent0[0]: (1325) {G2,W7,D2,L2,V1,M2} R(57,465) { ! member( X, skol17 ),
% 0.60/1.05 apply( skol13, X, skol20 ) }.
% 0.60/1.05 parent1[0]: (134) {G1,W3,D2,L1,V0,M1} R(54,109) { member( skol19, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol19
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1378) {G3,W4,D2,L1,V0,M1} R(1325,134) { apply( skol13, skol19
% 0.60/1.05 , skol20 ) }.
% 0.60/1.05 parent0: (1690) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1691) {G1,W8,D2,L2,V0,M2} { ! apply( skol13, skol20, skol19 )
% 0.60/1.05 , alpha24( skol13, skol19, skol20 ) }.
% 0.60/1.05 parent0[0]: (29) {G0,W12,D2,L3,V3,M3} I { ! apply( X, Y, Z ), ! apply( X, Z
% 0.60/1.05 , Y ), alpha24( X, Y, Z ) }.
% 0.60/1.05 parent1[0]: (1378) {G3,W4,D2,L1,V0,M1} R(1325,134) { apply( skol13, skol19
% 0.60/1.05 , skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := skol19
% 0.60/1.05 Z := skol20
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1693) {G2,W4,D2,L1,V0,M1} { ! apply( skol13, skol20, skol19 )
% 0.60/1.05 }.
% 0.60/1.05 parent0[0]: (1264) {G7,W4,D2,L1,V0,M1} S(1177);r(111) { ! alpha24( skol13,
% 0.60/1.05 skol19, skol20 ) }.
% 0.60/1.05 parent1[1]: (1691) {G1,W8,D2,L2,V0,M2} { ! apply( skol13, skol20, skol19 )
% 0.60/1.05 , alpha24( skol13, skol19, skol20 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1390) {G8,W4,D2,L1,V0,M1} R(1378,29);r(1264) { ! apply(
% 0.60/1.05 skol13, skol20, skol19 ) }.
% 0.60/1.05 parent0: (1693) {G2,W4,D2,L1,V0,M1} { ! apply( skol13, skol20, skol19 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1694) {G1,W7,D2,L2,V1,M2} { ! alpha3( skol13, X, skol19 ), !
% 0.60/1.05 member( skol20, X ) }.
% 0.60/1.05 parent0[0]: (1390) {G8,W4,D2,L1,V0,M1} R(1378,29);r(1264) { ! apply( skol13
% 0.60/1.05 , skol20, skol19 ) }.
% 0.60/1.05 parent1[2]: (57) {G0,W11,D2,L3,V4,M3} I { ! alpha3( X, Y, Z ), ! member( T
% 0.60/1.05 , Y ), apply( X, T, Z ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 X := skol13
% 0.60/1.05 Y := X
% 0.60/1.05 Z := skol19
% 0.60/1.05 T := skol20
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1401) {G9,W7,D2,L2,V1,M2} R(1390,57) { ! alpha3( skol13, X,
% 0.60/1.05 skol19 ), ! member( skol20, X ) }.
% 0.60/1.05 parent0: (1694) {G1,W7,D2,L2,V1,M2} { ! alpha3( skol13, X, skol19 ), !
% 0.60/1.05 member( skol20, X ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := X
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 0 ==> 0
% 0.60/1.05 1 ==> 1
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1695) {G2,W3,D2,L1,V0,M1} { ! member( skol20, skol17 ) }.
% 0.60/1.05 parent0[0]: (1401) {G9,W7,D2,L2,V1,M2} R(1390,57) { ! alpha3( skol13, X,
% 0.60/1.05 skol19 ), ! member( skol20, X ) }.
% 0.60/1.05 parent1[0]: (464) {G1,W4,D2,L1,V0,M1} R(55,109) { alpha3( skol13, skol17,
% 0.60/1.05 skol19 ) }.
% 0.60/1.05 substitution0:
% 0.60/1.05 X := skol17
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 resolution: (1696) {G2,W0,D0,L0,V0,M0} { }.
% 0.60/1.05 parent0[0]: (1695) {G2,W3,D2,L1,V0,M1} { ! member( skol20, skol17 ) }.
% 0.60/1.05 parent1[0]: (135) {G1,W3,D2,L1,V0,M1} R(54,110) { member( skol20, skol17 )
% 0.60/1.05 }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 substitution1:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 subsumption: (1469) {G10,W0,D0,L0,V0,M0} R(1401,464);r(135) { }.
% 0.60/1.05 parent0: (1696) {G2,W0,D0,L0,V0,M0} { }.
% 0.60/1.05 substitution0:
% 0.60/1.05 end
% 0.60/1.05 permutation0:
% 0.60/1.05 end
% 0.60/1.05
% 0.60/1.05 Proof check complete!
% 0.60/1.05
% 0.60/1.05 Memory use:
% 0.60/1.05
% 0.60/1.05 space for terms: 19727
% 0.60/1.05 space for clauses: 67678
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05 clauses generated: 2522
% 0.60/1.05 clauses kept: 1470
% 0.60/1.05 clauses selected: 227
% 0.60/1.05 clauses deleted: 2
% 0.60/1.05 clauses inuse deleted: 0
% 0.60/1.05
% 0.60/1.05 subsentry: 3834
% 0.60/1.05 literals s-matched: 3385
% 0.60/1.05 literals matched: 2410
% 0.60/1.05 full subsumption: 26
% 0.60/1.05
% 0.60/1.05 checksum: -692438266
% 0.60/1.05
% 0.60/1.05
% 0.60/1.05 Bliksem ended
%------------------------------------------------------------------------------