TSTP Solution File: SET804+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 1.41s 1.78s
% Output : Refutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 12:54:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.07 *** allocated 10000 integers for termspace/termends
% 0.71/1.07 *** allocated 10000 integers for clauses
% 0.71/1.07 *** allocated 10000 integers for justifications
% 0.71/1.07 Bliksem 1.12
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Automatic Strategy Selection
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Clauses:
% 0.71/1.07
% 0.71/1.07 { ! order( X, Y ), alpha1( X, Y ) }.
% 0.71/1.07 { ! order( X, Y ), alpha9( X, Y ) }.
% 0.71/1.07 { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X, Y ) }.
% 0.71/1.07 { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 0.71/1.07 { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 0.71/1.07 { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9( X, Y ) }.
% 0.71/1.07 { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.71/1.07 { alpha23( Y, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X,
% 0.71/1.07 Y ) }.
% 0.71/1.07 { ! alpha25( X, skol1( X, Y ), skol14( X, Y ), skol18( X, Y ) ), alpha19( X
% 0.71/1.07 , Y ) }.
% 0.71/1.07 { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z, T ), apply( X, Y, T ) }.
% 0.71/1.07 { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.71/1.07 { ! apply( X, Y, T ), alpha25( X, Y, Z, T ) }.
% 0.71/1.07 { ! alpha26( X, Y, Z, T ), apply( X, Y, Z ) }.
% 0.71/1.07 { ! alpha26( X, Y, Z, T ), apply( X, Z, T ) }.
% 0.71/1.07 { ! apply( X, Y, Z ), ! apply( X, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.71/1.07 { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 0.71/1.07 { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T ) }.
% 0.71/1.07 { ! member( Y, X ), ! alpha21( X, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.71/1.07 { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 0.71/1.07 { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 0.71/1.07 { ! member( Y, X ), ! member( Z, X ), alpha21( X, Y, Z ) }.
% 0.71/1.07 { ! alpha15( X, Y ), ! alpha20( Y, Z, T ), alpha22( X, Z, T ) }.
% 0.71/1.07 { alpha20( Y, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.71/1.07 { ! alpha22( X, skol2( X, Y ), skol15( X, Y ) ), alpha15( X, Y ) }.
% 0.71/1.07 { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z ), Y = Z }.
% 0.71/1.07 { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 0.71/1.07 { ! Y = Z, alpha22( X, Y, Z ) }.
% 0.71/1.07 { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 0.71/1.07 { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 0.71/1.07 { ! apply( X, Y, Z ), ! apply( X, Z, Y ), alpha24( X, Y, Z ) }.
% 0.71/1.07 { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 0.71/1.07 { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 0.71/1.07 { ! member( Y, X ), ! member( Z, X ), alpha20( X, Y, Z ) }.
% 0.71/1.07 { ! alpha1( X, Y ), ! member( Z, Y ), apply( X, Z, Z ) }.
% 0.71/1.07 { member( skol3( Z, Y ), Y ), alpha1( X, Y ) }.
% 0.71/1.07 { ! apply( X, skol3( X, Y ), skol3( X, Y ) ), alpha1( X, Y ) }.
% 0.71/1.07 { ! total_order( X, Y ), order( X, Y ) }.
% 0.71/1.07 { ! total_order( X, Y ), alpha2( X, Y ) }.
% 0.71/1.07 { ! order( X, Y ), ! alpha2( X, Y ), total_order( X, Y ) }.
% 0.71/1.07 { ! alpha2( X, Y ), ! alpha10( Y, Z, T ), alpha16( X, Z, T ) }.
% 0.71/1.07 { alpha10( Y, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.71/1.07 { ! alpha16( X, skol4( X, Y ), skol16( X, Y ) ), alpha2( X, Y ) }.
% 0.71/1.07 { ! alpha16( X, Y, Z ), apply( X, Y, Z ), apply( X, Z, Y ) }.
% 0.71/1.07 { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 0.71/1.07 { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 0.71/1.07 { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 0.71/1.07 { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 0.71/1.07 { ! member( Y, X ), ! member( Z, X ), alpha10( X, Y, Z ) }.
% 0.71/1.07 { ! upper_bound( Z, X, Y ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.71/1.07 { member( skol5( T, Y, U ), Y ), upper_bound( Z, X, Y ) }.
% 0.71/1.07 { ! apply( X, skol5( X, Y, Z ), Z ), upper_bound( Z, X, Y ) }.
% 0.71/1.07 { ! lower_bound( Z, X, Y ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.71/1.07 { member( skol6( T, Y, U ), Y ), lower_bound( Z, X, Y ) }.
% 0.71/1.07 { ! apply( X, Z, skol6( X, Y, Z ) ), lower_bound( Z, X, Y ) }.
% 0.71/1.07 { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 0.71/1.07 { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 0.71/1.07 { ! member( Z, Y ), ! alpha3( X, Y, Z ), greatest( Z, X, Y ) }.
% 0.71/1.07 { ! alpha3( X, Y, Z ), ! member( T, Y ), apply( X, T, Z ) }.
% 0.71/1.07 { member( skol7( T, Y, U ), Y ), alpha3( X, Y, Z ) }.
% 0.71/1.07 { ! apply( X, skol7( X, Y, Z ), Z ), alpha3( X, Y, Z ) }.
% 0.71/1.07 { ! least( Z, X, Y ), member( Z, Y ) }.
% 0.71/1.07 { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 0.71/1.07 { ! member( Z, Y ), ! alpha4( X, Y, Z ), least( Z, X, Y ) }.
% 0.71/1.07 { ! alpha4( X, Y, Z ), ! member( T, Y ), apply( X, Z, T ) }.
% 0.71/1.07 { member( skol8( T, Y, U ), Y ), alpha4( X, Y, Z ) }.
% 0.71/1.07 { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.71/1.07 { ! max( Z, X, Y ), member( Z, Y ) }.
% 0.71/1.07 { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.71/1.07 { ! member( Z, Y ), ! alpha5( X, Y, Z ), max( Z, X, Y ) }.
% 0.71/1.07 { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T ), Z = T }.
% 0.71/1.07 { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z ) }.
% 0.71/1.07 { alpha11( X, Y, Z, skol9( X, Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.71/1.07 { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 1.17/1.61 { ! alpha11( X, Y, Z, T ), apply( X, Z, T ) }.
% 1.17/1.61 { ! member( T, Y ), ! apply( X, Z, T ), alpha11( X, Y, Z, T ) }.
% 1.17/1.61 { ! min( Z, X, Y ), member( Z, Y ) }.
% 1.17/1.61 { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 1.17/1.61 { ! member( Z, Y ), ! alpha6( X, Y, Z ), min( Z, X, Y ) }.
% 1.17/1.61 { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T ), Z = T }.
% 1.17/1.61 { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z ) }.
% 1.17/1.61 { alpha12( X, Y, Z, skol10( X, Y, Z ) ), alpha6( X, Y, Z ) }.
% 1.17/1.61 { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 1.17/1.61 { ! alpha12( X, Y, Z, T ), apply( X, T, Z ) }.
% 1.17/1.61 { ! member( T, Y ), ! apply( X, T, Z ), alpha12( X, Y, Z, T ) }.
% 1.17/1.61 { ! least_upper_bound( X, Y, Z, T ), member( X, Y ) }.
% 1.17/1.61 { ! least_upper_bound( X, Y, Z, T ), alpha7( X, Y, Z, T ) }.
% 1.17/1.61 { ! member( X, Y ), ! alpha7( X, Y, Z, T ), least_upper_bound( X, Y, Z, T )
% 1.17/1.61 }.
% 1.17/1.61 { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y ) }.
% 1.17/1.61 { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 1.17/1.61 { ! upper_bound( X, Z, Y ), ! alpha13( X, Y, Z, T ), alpha7( X, Y, Z, T ) }
% 1.17/1.61 .
% 1.17/1.61 { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T, U ), apply( Z, X, U ) }.
% 1.17/1.61 { ! apply( Z, X, skol11( X, U, Z, W ) ), alpha13( X, Y, Z, T ) }.
% 1.17/1.61 { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ), alpha13( X, Y, Z, T ) }.
% 1.17/1.61 { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 1.17/1.61 { ! alpha17( X, Y, Z, T ), upper_bound( T, Y, X ) }.
% 1.17/1.61 { ! member( T, Z ), ! upper_bound( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 1.17/1.61 { ! greatest_lower_bound( X, Y, Z, T ), member( X, Y ) }.
% 1.17/1.61 { ! greatest_lower_bound( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 1.17/1.61 { ! member( X, Y ), ! alpha8( X, Y, Z, T ), greatest_lower_bound( X, Y, Z,
% 1.17/1.61 T ) }.
% 1.17/1.61 { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y ) }.
% 1.17/1.61 { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T ) }.
% 1.17/1.61 { ! lower_bound( X, Z, Y ), ! alpha14( X, Y, Z, T ), alpha8( X, Y, Z, T ) }
% 1.17/1.61 .
% 1.17/1.61 { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T, U ), apply( Z, U, X ) }.
% 1.17/1.61 { ! apply( Z, skol12( X, U, Z, W ), X ), alpha14( X, Y, Z, T ) }.
% 1.17/1.61 { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ), alpha14( X, Y, Z, T ) }.
% 1.17/1.61 { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 1.17/1.61 { ! alpha18( X, Y, Z, T ), lower_bound( T, Y, X ) }.
% 1.17/1.61 { ! member( T, Z ), ! lower_bound( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 1.17/1.61 { order( skol13, skol17 ) }.
% 1.17/1.61 { min( skol19, skol13, skol17 ) }.
% 1.17/1.61 { min( skol20, skol13, skol17 ) }.
% 1.17/1.61 { ! skol19 = skol20 }.
% 1.17/1.61 { least( skol21, skol13, skol17 ) }.
% 1.17/1.61
% 1.17/1.61 percentage equality = 0.027237, percentage horn = 0.867257
% 1.17/1.61 This is a problem with some equality
% 1.17/1.61
% 1.17/1.61
% 1.17/1.61
% 1.17/1.61 Options Used:
% 1.17/1.61
% 1.17/1.61 useres = 1
% 1.17/1.61 useparamod = 1
% 1.17/1.61 useeqrefl = 1
% 1.17/1.61 useeqfact = 1
% 1.17/1.61 usefactor = 1
% 1.17/1.61 usesimpsplitting = 0
% 1.17/1.61 usesimpdemod = 5
% 1.17/1.61 usesimpres = 3
% 1.17/1.61
% 1.17/1.61 resimpinuse = 1000
% 1.17/1.61 resimpclauses = 20000
% 1.17/1.61 substype = eqrewr
% 1.17/1.61 backwardsubs = 1
% 1.17/1.61 selectoldest = 5
% 1.17/1.61
% 1.17/1.61 litorderings [0] = split
% 1.17/1.61 litorderings [1] = extend the termordering, first sorting on arguments
% 1.17/1.61
% 1.17/1.61 termordering = kbo
% 1.17/1.61
% 1.17/1.61 litapriori = 0
% 1.17/1.61 termapriori = 1
% 1.17/1.61 litaposteriori = 0
% 1.17/1.61 termaposteriori = 0
% 1.17/1.61 demodaposteriori = 0
% 1.17/1.61 ordereqreflfact = 0
% 1.17/1.61
% 1.17/1.61 litselect = negord
% 1.17/1.61
% 1.17/1.61 maxweight = 15
% 1.17/1.61 maxdepth = 30000
% 1.17/1.61 maxlength = 115
% 1.17/1.61 maxnrvars = 195
% 1.17/1.61 excuselevel = 1
% 1.17/1.61 increasemaxweight = 1
% 1.17/1.61
% 1.17/1.61 maxselected = 10000000
% 1.17/1.61 maxnrclauses = 10000000
% 1.17/1.61
% 1.17/1.61 showgenerated = 0
% 1.17/1.61 showkept = 0
% 1.17/1.61 showselected = 0
% 1.17/1.61 showdeleted = 0
% 1.17/1.61 showresimp = 1
% 1.17/1.61 showstatus = 2000
% 1.17/1.61
% 1.17/1.61 prologoutput = 0
% 1.17/1.61 nrgoals = 5000000
% 1.17/1.61 totalproof = 1
% 1.17/1.61
% 1.17/1.61 Symbols occurring in the translation:
% 1.17/1.61
% 1.17/1.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.17/1.61 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.17/1.61 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 1.17/1.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.61 order [37, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.17/1.61 member [39, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.17/1.61 apply [40, 3] (w:1, o:65, a:1, s:1, b:0),
% 1.17/1.61 total_order [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.17/1.61 upper_bound [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 1.17/1.61 lower_bound [46, 3] (w:1, o:67, a:1, s:1, b:0),
% 1.17/1.61 greatest [47, 3] (w:1, o:68, a:1, s:1, b:0),
% 1.17/1.61 least [48, 3] (w:1, o:69, a:1, s:1, b:0),
% 1.17/1.61 max [49, 3] (w:1, o:70, a:1, s:1, b:0),
% 1.41/1.78 min [50, 3] (w:1, o:71, a:1, s:1, b:0),
% 1.41/1.78 least_upper_bound [52, 4] (w:1, o:88, a:1, s:1, b:0),
% 1.41/1.78 greatest_lower_bound [53, 4] (w:1, o:89, a:1, s:1, b:0),
% 1.41/1.78 alpha1 [56, 2] (w:1, o:60, a:1, s:1, b:1),
% 1.41/1.78 alpha2 [57, 2] (w:1, o:63, a:1, s:1, b:1),
% 1.41/1.78 alpha3 [58, 3] (w:1, o:76, a:1, s:1, b:1),
% 1.41/1.78 alpha4 [59, 3] (w:1, o:77, a:1, s:1, b:1),
% 1.41/1.78 alpha5 [60, 3] (w:1, o:78, a:1, s:1, b:1),
% 1.41/1.78 alpha6 [61, 3] (w:1, o:79, a:1, s:1, b:1),
% 1.41/1.78 alpha7 [62, 4] (w:1, o:90, a:1, s:1, b:1),
% 1.41/1.78 alpha8 [63, 4] (w:1, o:91, a:1, s:1, b:1),
% 1.41/1.78 alpha9 [64, 2] (w:1, o:64, a:1, s:1, b:1),
% 1.41/1.78 alpha10 [65, 3] (w:1, o:80, a:1, s:1, b:1),
% 1.41/1.78 alpha11 [66, 4] (w:1, o:92, a:1, s:1, b:1),
% 1.41/1.78 alpha12 [67, 4] (w:1, o:93, a:1, s:1, b:1),
% 1.41/1.78 alpha13 [68, 4] (w:1, o:94, a:1, s:1, b:1),
% 1.41/1.78 alpha14 [69, 4] (w:1, o:95, a:1, s:1, b:1),
% 1.41/1.78 alpha15 [70, 2] (w:1, o:61, a:1, s:1, b:1),
% 1.41/1.78 alpha16 [71, 3] (w:1, o:81, a:1, s:1, b:1),
% 1.41/1.78 alpha17 [72, 4] (w:1, o:96, a:1, s:1, b:1),
% 1.41/1.78 alpha18 [73, 4] (w:1, o:97, a:1, s:1, b:1),
% 1.41/1.78 alpha19 [74, 2] (w:1, o:62, a:1, s:1, b:1),
% 1.41/1.78 alpha20 [75, 3] (w:1, o:72, a:1, s:1, b:1),
% 1.41/1.78 alpha21 [76, 3] (w:1, o:73, a:1, s:1, b:1),
% 1.41/1.78 alpha22 [77, 3] (w:1, o:74, a:1, s:1, b:1),
% 1.41/1.78 alpha23 [78, 4] (w:1, o:98, a:1, s:1, b:1),
% 1.41/1.78 alpha24 [79, 3] (w:1, o:75, a:1, s:1, b:1),
% 1.41/1.78 alpha25 [80, 4] (w:1, o:99, a:1, s:1, b:1),
% 1.41/1.78 alpha26 [81, 4] (w:1, o:100, a:1, s:1, b:1),
% 1.41/1.78 skol1 [82, 2] (w:1, o:51, a:1, s:1, b:1),
% 1.41/1.78 skol2 [83, 2] (w:1, o:56, a:1, s:1, b:1),
% 1.41/1.78 skol3 [84, 2] (w:1, o:57, a:1, s:1, b:1),
% 1.41/1.78 skol4 [85, 2] (w:1, o:58, a:1, s:1, b:1),
% 1.41/1.78 skol5 [86, 3] (w:1, o:82, a:1, s:1, b:1),
% 1.41/1.78 skol6 [87, 3] (w:1, o:83, a:1, s:1, b:1),
% 1.41/1.78 skol7 [88, 3] (w:1, o:84, a:1, s:1, b:1),
% 1.41/1.78 skol8 [89, 3] (w:1, o:85, a:1, s:1, b:1),
% 1.41/1.78 skol9 [90, 3] (w:1, o:86, a:1, s:1, b:1),
% 1.41/1.78 skol10 [91, 3] (w:1, o:87, a:1, s:1, b:1),
% 1.41/1.78 skol11 [92, 4] (w:1, o:101, a:1, s:1, b:1),
% 1.41/1.78 skol12 [93, 4] (w:1, o:102, a:1, s:1, b:1),
% 1.41/1.78 skol13 [94, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.41/1.78 skol14 [95, 2] (w:1, o:52, a:1, s:1, b:1),
% 1.41/1.78 skol15 [96, 2] (w:1, o:53, a:1, s:1, b:1),
% 1.41/1.78 skol16 [97, 2] (w:1, o:54, a:1, s:1, b:1),
% 1.41/1.78 skol17 [98, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.41/1.78 skol18 [99, 2] (w:1, o:55, a:1, s:1, b:1),
% 1.41/1.78 skol19 [100, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.41/1.78 skol20 [101, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.41/1.78 skol21 [102, 0] (w:1, o:19, a:1, s:1, b:1).
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Starting Search:
% 1.41/1.78
% 1.41/1.78 *** allocated 15000 integers for clauses
% 1.41/1.78 *** allocated 22500 integers for clauses
% 1.41/1.78 *** allocated 33750 integers for clauses
% 1.41/1.78 *** allocated 50625 integers for clauses
% 1.41/1.78 *** allocated 15000 integers for termspace/termends
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 *** allocated 75937 integers for clauses
% 1.41/1.78 *** allocated 22500 integers for termspace/termends
% 1.41/1.78 *** allocated 113905 integers for clauses
% 1.41/1.78 *** allocated 33750 integers for termspace/termends
% 1.41/1.78
% 1.41/1.78 Intermediate Status:
% 1.41/1.78 Generated: 3314
% 1.41/1.78 Kept: 2027
% 1.41/1.78 Inuse: 278
% 1.41/1.78 Deleted: 0
% 1.41/1.78 Deletedinuse: 0
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 *** allocated 50625 integers for termspace/termends
% 1.41/1.78 *** allocated 170857 integers for clauses
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 *** allocated 256285 integers for clauses
% 1.41/1.78 *** allocated 75937 integers for termspace/termends
% 1.41/1.78
% 1.41/1.78 Intermediate Status:
% 1.41/1.78 Generated: 15798
% 1.41/1.78 Kept: 4027
% 1.41/1.78 Inuse: 640
% 1.41/1.78 Deleted: 2
% 1.41/1.78 Deletedinuse: 0
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 *** allocated 384427 integers for clauses
% 1.41/1.78 *** allocated 113905 integers for termspace/termends
% 1.41/1.78
% 1.41/1.78 Intermediate Status:
% 1.41/1.78 Generated: 29414
% 1.41/1.78 Kept: 6042
% 1.41/1.78 Inuse: 824
% 1.41/1.78 Deleted: 5
% 1.41/1.78 Deletedinuse: 3
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Intermediate Status:
% 1.41/1.78 Generated: 38108
% 1.41/1.78 Kept: 8042
% 1.41/1.78 Inuse: 953
% 1.41/1.78 Deleted: 9
% 1.41/1.78 Deletedinuse: 7
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 *** allocated 170857 integers for termspace/termends
% 1.41/1.78 *** allocated 576640 integers for clauses
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Intermediate Status:
% 1.41/1.78 Generated: 51151
% 1.41/1.78 Kept: 10053
% 1.41/1.78 Inuse: 1082
% 1.41/1.78 Deleted: 9
% 1.41/1.78 Deletedinuse: 7
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Intermediate Status:
% 1.41/1.78 Generated: 60468
% 1.41/1.78 Kept: 12053
% 1.41/1.78 Inuse: 1269
% 1.41/1.78 Deleted: 432
% 1.41/1.78 Deletedinuse: 400
% 1.41/1.78
% 1.41/1.78 Resimplifying inuse:
% 1.41/1.78 Done
% 1.41/1.78
% 1.41/1.78 *** allocated 256285 integers for termspace/termends
% 1.41/1.78
% 1.41/1.78 Bliksems!, er is een bewijs:
% 1.41/1.78 % SZS status Theorem
% 1.41/1.78 % SZS output start Refutation
% 1.41/1.78
% 1.41/1.78 (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y ) }.
% 1.41/1.78 (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 1.41/1.78 (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T, Y ), apply
% 1.41/1.78 ( X, Z, T ) }.
% 1.41/1.78 (75) {G0,W7,D2,L2,V3,M2} I { ! min( Z, X, Y ), member( Z, Y ) }.
% 1.41/1.78 (76) {G0,W8,D2,L2,V3,M2} I { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 1.41/1.78 (78) {G0,W12,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T )
% 1.41/1.78 , Z = T }.
% 1.41/1.78 (83) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, T, Z ), alpha12
% 1.41/1.78 ( X, Y, Z, T ) }.
% 1.41/1.78 (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 ) }.
% 1.41/1.78 (110) {G0,W4,D2,L1,V0,M1} I { min( skol20, skol13, skol17 ) }.
% 1.41/1.78 (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 1.41/1.78 (112) {G0,W4,D2,L1,V0,M1} I { least( skol21, skol13, skol17 ) }.
% 1.41/1.78 (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 ) }.
% 1.41/1.78 (132) {G1,W3,D2,L1,V0,M1} R(75,110) { member( skol20, skol17 ) }.
% 1.41/1.78 (137) {G1,W3,D2,L1,V0,M1} R(60,112) { member( skol21, skol17 ) }.
% 1.41/1.78 (1570) {G1,W4,D2,L1,V0,M1} R(61,112) { alpha4( skol13, skol17, skol21 ) }.
% 1.41/1.78 (1620) {G2,W7,D2,L2,V1,M2} R(63,1570) { ! member( X, skol17 ), apply(
% 1.41/1.78 skol13, skol21, X ) }.
% 1.41/1.78 (1689) {G3,W4,D2,L1,V0,M1} R(1620,132) { apply( skol13, skol21, skol20 )
% 1.41/1.78 }.
% 1.41/1.78 (1690) {G3,W4,D2,L1,V0,M1} R(1620,131) { apply( skol13, skol21, skol19 )
% 1.41/1.78 }.
% 1.41/1.78 (2253) {G1,W4,D2,L1,V0,M1} R(76,109) { alpha6( skol13, skol17, skol19 ) }.
% 1.41/1.78 (2254) {G1,W4,D2,L1,V0,M1} R(76,110) { alpha6( skol13, skol17, skol20 ) }.
% 1.41/1.78 (2437) {G4,W8,D2,L2,V1,M2} R(83,1690) { ! member( skol21, X ), alpha12(
% 1.41/1.78 skol13, X, skol19, skol21 ) }.
% 1.41/1.78 (10854) {G5,W5,D2,L1,V0,M1} R(2437,137) { alpha12( skol13, skol17, skol19,
% 1.41/1.78 skol21 ) }.
% 1.41/1.78 (10889) {G6,W3,D2,L1,V0,M1} R(10854,78);r(2253) { skol21 ==> skol19 }.
% 1.41/1.78 (10925) {G7,W4,D2,L1,V0,M1} P(10889,1689) { apply( skol13, skol19, skol20 )
% 1.41/1.78 }.
% 1.41/1.78 (10996) {G8,W8,D2,L2,V1,M2} R(10925,83) { ! member( skol19, X ), alpha12(
% 1.41/1.78 skol13, X, skol20, skol19 ) }.
% 1.41/1.78 (12851) {G9,W5,D2,L1,V0,M1} R(10996,131) { alpha12( skol13, skol17, skol20
% 1.41/1.78 , skol19 ) }.
% 1.41/1.78 (12853) {G10,W3,D2,L1,V0,M1} R(12851,78);r(2254) { skol20 ==> skol19 }.
% 1.41/1.78 (12854) {G11,W0,D0,L0,V0,M0} S(12853);r(111) { }.
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 % SZS output end Refutation
% 1.41/1.78 found a proof!
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Unprocessed initial clauses:
% 1.41/1.78
% 1.41/1.78 (12856) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha1( X, Y ) }.
% 1.41/1.78 (12857) {G0,W6,D2,L2,V2,M2} { ! order( X, Y ), alpha9( X, Y ) }.
% 1.41/1.78 (12858) {G0,W9,D2,L3,V2,M3} { ! alpha1( X, Y ), ! alpha9( X, Y ), order( X
% 1.41/1.78 , Y ) }.
% 1.41/1.78 (12859) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha15( X, Y ) }.
% 1.41/1.78 (12860) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), alpha19( X, Y ) }.
% 1.41/1.78 (12861) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! alpha19( X, Y ), alpha9
% 1.41/1.78 ( X, Y ) }.
% 1.41/1.78 (12862) {G0,W13,D2,L3,V5,M3} { ! alpha19( X, Y ), ! alpha23( Y, Z, T, U )
% 1.41/1.78 , alpha25( X, Z, T, U ) }.
% 1.41/1.78 (12863) {G0,W14,D3,L2,V2,M2} { alpha23( Y, skol1( X, Y ), skol14( X, Y ),
% 1.41/1.78 skol18( X, Y ) ), alpha19( X, Y ) }.
% 1.41/1.78 (12864) {G0,W14,D3,L2,V2,M2} { ! alpha25( X, skol1( X, Y ), skol14( X, Y )
% 1.41/1.78 , skol18( X, Y ) ), alpha19( X, Y ) }.
% 1.41/1.78 (12865) {G0,W14,D2,L3,V4,M3} { ! alpha25( X, Y, Z, T ), ! alpha26( X, Y, Z
% 1.41/1.78 , T ), apply( X, Y, T ) }.
% 1.41/1.78 (12866) {G0,W10,D2,L2,V4,M2} { alpha26( X, Y, Z, T ), alpha25( X, Y, Z, T
% 1.41/1.78 ) }.
% 1.41/1.78 (12867) {G0,W9,D2,L2,V4,M2} { ! apply( X, Y, T ), alpha25( X, Y, Z, T )
% 1.41/1.78 }.
% 1.41/1.78 (12868) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Y, Z )
% 1.41/1.78 }.
% 1.41/1.78 (12869) {G0,W9,D2,L2,V4,M2} { ! alpha26( X, Y, Z, T ), apply( X, Z, T )
% 1.41/1.78 }.
% 1.41/1.78 (12870) {G0,W13,D2,L3,V4,M3} { ! apply( X, Y, Z ), ! apply( X, Z, T ),
% 1.41/1.78 alpha26( X, Y, Z, T ) }.
% 1.41/1.78 (12871) {G0,W8,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), member( Y, X ) }.
% 1.41/1.78 (12872) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ), alpha21( X, Z, T )
% 1.41/1.78 }.
% 1.41/1.78 (12873) {G0,W12,D2,L3,V4,M3} { ! member( Y, X ), ! alpha21( X, Z, T ),
% 1.41/1.78 alpha23( X, Y, Z, T ) }.
% 1.41/1.78 (12874) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Y, X ) }.
% 1.41/1.78 (12875) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), member( Z, X ) }.
% 1.41/1.78 (12876) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha21
% 1.41/1.78 ( X, Y, Z ) }.
% 1.41/1.78 (12877) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y ), ! alpha20( Y, Z, T ),
% 1.41/1.78 alpha22( X, Z, T ) }.
% 1.41/1.78 (12878) {G0,W11,D3,L2,V2,M2} { alpha20( Y, skol2( X, Y ), skol15( X, Y ) )
% 1.41/1.78 , alpha15( X, Y ) }.
% 1.41/1.78 (12879) {G0,W11,D3,L2,V2,M2} { ! alpha22( X, skol2( X, Y ), skol15( X, Y )
% 1.41/1.78 ), alpha15( X, Y ) }.
% 1.41/1.78 (12880) {G0,W11,D2,L3,V3,M3} { ! alpha22( X, Y, Z ), ! alpha24( X, Y, Z )
% 1.41/1.78 , Y = Z }.
% 1.41/1.78 (12881) {G0,W8,D2,L2,V3,M2} { alpha24( X, Y, Z ), alpha22( X, Y, Z ) }.
% 1.41/1.78 (12882) {G0,W7,D2,L2,V3,M2} { ! Y = Z, alpha22( X, Y, Z ) }.
% 1.41/1.78 (12883) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Y, Z ) }.
% 1.41/1.78 (12884) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), apply( X, Z, Y ) }.
% 1.41/1.78 (12885) {G0,W12,D2,L3,V3,M3} { ! apply( X, Y, Z ), ! apply( X, Z, Y ),
% 1.41/1.78 alpha24( X, Y, Z ) }.
% 1.41/1.78 (12886) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Y, X ) }.
% 1.41/1.78 (12887) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), member( Z, X ) }.
% 1.41/1.78 (12888) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha20
% 1.41/1.78 ( X, Y, Z ) }.
% 1.41/1.78 (12889) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y ), ! member( Z, Y ), apply(
% 1.41/1.78 X, Z, Z ) }.
% 1.41/1.78 (12890) {G0,W8,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), alpha1( X, Y )
% 1.41/1.78 }.
% 1.41/1.78 (12891) {G0,W11,D3,L2,V2,M2} { ! apply( X, skol3( X, Y ), skol3( X, Y ) )
% 1.41/1.78 , alpha1( X, Y ) }.
% 1.41/1.78 (12892) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), order( X, Y ) }.
% 1.41/1.78 (12893) {G0,W6,D2,L2,V2,M2} { ! total_order( X, Y ), alpha2( X, Y ) }.
% 1.41/1.78 (12894) {G0,W9,D2,L3,V2,M3} { ! order( X, Y ), ! alpha2( X, Y ),
% 1.41/1.78 total_order( X, Y ) }.
% 1.41/1.78 (12895) {G0,W11,D2,L3,V4,M3} { ! alpha2( X, Y ), ! alpha10( Y, Z, T ),
% 1.41/1.78 alpha16( X, Z, T ) }.
% 1.41/1.78 (12896) {G0,W11,D3,L2,V2,M2} { alpha10( Y, skol4( X, Y ), skol16( X, Y ) )
% 1.41/1.78 , alpha2( X, Y ) }.
% 1.41/1.78 (12897) {G0,W11,D3,L2,V2,M2} { ! alpha16( X, skol4( X, Y ), skol16( X, Y )
% 1.41/1.78 ), alpha2( X, Y ) }.
% 1.41/1.78 (12898) {G0,W12,D2,L3,V3,M3} { ! alpha16( X, Y, Z ), apply( X, Y, Z ),
% 1.41/1.78 apply( X, Z, Y ) }.
% 1.41/1.78 (12899) {G0,W8,D2,L2,V3,M2} { ! apply( X, Y, Z ), alpha16( X, Y, Z ) }.
% 1.41/1.78 (12900) {G0,W8,D2,L2,V3,M2} { ! apply( X, Z, Y ), alpha16( X, Y, Z ) }.
% 1.41/1.78 (12901) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Y, X ) }.
% 1.41/1.78 (12902) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), member( Z, X ) }.
% 1.41/1.78 (12903) {G0,W10,D2,L3,V3,M3} { ! member( Y, X ), ! member( Z, X ), alpha10
% 1.41/1.78 ( X, Y, Z ) }.
% 1.41/1.78 (12904) {G0,W11,D2,L3,V4,M3} { ! upper_bound( Z, X, Y ), ! member( T, Y )
% 1.41/1.78 , apply( X, T, Z ) }.
% 1.41/1.78 (12905) {G0,W10,D3,L2,V5,M2} { member( skol5( T, Y, U ), Y ), upper_bound
% 1.41/1.78 ( Z, X, Y ) }.
% 1.41/1.78 (12906) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol5( X, Y, Z ), Z ),
% 1.41/1.78 upper_bound( Z, X, Y ) }.
% 1.41/1.78 (12907) {G0,W11,D2,L3,V4,M3} { ! lower_bound( Z, X, Y ), ! member( T, Y )
% 1.41/1.78 , apply( X, Z, T ) }.
% 1.41/1.78 (12908) {G0,W10,D3,L2,V5,M2} { member( skol6( T, Y, U ), Y ), lower_bound
% 1.41/1.78 ( Z, X, Y ) }.
% 1.41/1.78 (12909) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol6( X, Y, Z ) ),
% 1.41/1.78 lower_bound( Z, X, Y ) }.
% 1.41/1.78 (12910) {G0,W7,D2,L2,V3,M2} { ! greatest( Z, X, Y ), member( Z, Y ) }.
% 1.41/1.78 (12911) {G0,W8,D2,L2,V3,M2} { ! greatest( Z, X, Y ), alpha3( X, Y, Z ) }.
% 1.41/1.78 (12912) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha3( X, Y, Z ),
% 1.41/1.78 greatest( Z, X, Y ) }.
% 1.41/1.78 (12913) {G0,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), ! member( T, Y ),
% 1.41/1.78 apply( X, T, Z ) }.
% 1.41/1.78 (12914) {G0,W10,D3,L2,V5,M2} { member( skol7( T, Y, U ), Y ), alpha3( X, Y
% 1.41/1.78 , Z ) }.
% 1.41/1.78 (12915) {G0,W11,D3,L2,V3,M2} { ! apply( X, skol7( X, Y, Z ), Z ), alpha3(
% 1.41/1.78 X, Y, Z ) }.
% 1.41/1.78 (12916) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y ) }.
% 1.41/1.78 (12917) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z ) }.
% 1.41/1.78 (12918) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha4( X, Y, Z ),
% 1.41/1.78 least( Z, X, Y ) }.
% 1.41/1.78 (12919) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T, Y ),
% 1.41/1.78 apply( X, Z, T ) }.
% 1.41/1.78 (12920) {G0,W10,D3,L2,V5,M2} { member( skol8( T, Y, U ), Y ), alpha4( X, Y
% 1.41/1.78 , Z ) }.
% 1.41/1.78 (12921) {G0,W11,D3,L2,V3,M2} { ! apply( X, Z, skol8( X, Y, Z ) ), alpha4(
% 1.41/1.78 X, Y, Z ) }.
% 1.41/1.78 (12922) {G0,W7,D2,L2,V3,M2} { ! max( Z, X, Y ), member( Z, Y ) }.
% 1.41/1.78 (12923) {G0,W8,D2,L2,V3,M2} { ! max( Z, X, Y ), alpha5( X, Y, Z ) }.
% 1.41/1.78 (12924) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha5( X, Y, Z ), max
% 1.41/1.78 ( Z, X, Y ) }.
% 1.41/1.78 (12925) {G0,W12,D2,L3,V4,M3} { ! alpha5( X, Y, Z ), ! alpha11( X, Y, Z, T
% 1.41/1.78 ), Z = T }.
% 1.41/1.78 (12926) {G0,W10,D3,L2,V5,M2} { ! Z = skol9( T, U, Z ), alpha5( X, Y, Z )
% 1.41/1.78 }.
% 1.41/1.78 (12927) {G0,W12,D3,L2,V3,M2} { alpha11( X, Y, Z, skol9( X, Y, Z ) ),
% 1.41/1.78 alpha5( X, Y, Z ) }.
% 1.41/1.78 (12928) {G0,W8,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), member( T, Y ) }.
% 1.41/1.78 (12929) {G0,W9,D2,L2,V4,M2} { ! alpha11( X, Y, Z, T ), apply( X, Z, T )
% 1.41/1.78 }.
% 1.41/1.78 (12930) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, Z, T ),
% 1.41/1.78 alpha11( X, Y, Z, T ) }.
% 1.41/1.78 (12931) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y ) }.
% 1.41/1.78 (12932) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z ) }.
% 1.41/1.78 (12933) {G0,W11,D2,L3,V3,M3} { ! member( Z, Y ), ! alpha6( X, Y, Z ), min
% 1.41/1.78 ( Z, X, Y ) }.
% 1.41/1.78 (12934) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X, Y, Z, T
% 1.41/1.78 ), Z = T }.
% 1.41/1.78 (12935) {G0,W10,D3,L2,V5,M2} { ! Z = skol10( T, U, Z ), alpha6( X, Y, Z )
% 1.41/1.78 }.
% 1.41/1.78 (12936) {G0,W12,D3,L2,V3,M2} { alpha12( X, Y, Z, skol10( X, Y, Z ) ),
% 1.41/1.78 alpha6( X, Y, Z ) }.
% 1.41/1.78 (12937) {G0,W8,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), member( T, Y ) }.
% 1.41/1.78 (12938) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), apply( X, T, Z )
% 1.41/1.78 }.
% 1.41/1.78 (12939) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z ),
% 1.41/1.78 alpha12( X, Y, Z, T ) }.
% 1.41/1.78 (12940) {G0,W8,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), member( X
% 1.41/1.78 , Y ) }.
% 1.41/1.78 (12941) {G0,W10,D2,L2,V4,M2} { ! least_upper_bound( X, Y, Z, T ), alpha7(
% 1.41/1.78 X, Y, Z, T ) }.
% 1.41/1.78 (12942) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha7( X, Y, Z, T ),
% 1.41/1.78 least_upper_bound( X, Y, Z, T ) }.
% 1.41/1.78 (12943) {G0,W9,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), upper_bound( X, Z, Y
% 1.41/1.78 ) }.
% 1.41/1.78 (12944) {G0,W10,D2,L2,V4,M2} { ! alpha7( X, Y, Z, T ), alpha13( X, Y, Z, T
% 1.41/1.78 ) }.
% 1.41/1.78 (12945) {G0,W14,D2,L3,V4,M3} { ! upper_bound( X, Z, Y ), ! alpha13( X, Y,
% 1.41/1.78 Z, T ), alpha7( X, Y, Z, T ) }.
% 1.41/1.78 (12946) {G0,W14,D2,L3,V5,M3} { ! alpha13( X, Y, Z, T ), ! alpha17( Y, Z, T
% 1.41/1.78 , U ), apply( Z, X, U ) }.
% 1.41/1.78 (12947) {G0,W13,D3,L2,V6,M2} { ! apply( Z, X, skol11( X, U, Z, W ) ),
% 1.41/1.78 alpha13( X, Y, Z, T ) }.
% 1.41/1.78 (12948) {G0,W14,D3,L2,V4,M2} { alpha17( Y, Z, T, skol11( X, Y, Z, T ) ),
% 1.41/1.78 alpha13( X, Y, Z, T ) }.
% 1.41/1.78 (12949) {G0,W8,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), member( T, Z ) }.
% 1.41/1.78 (12950) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), upper_bound( T, Y,
% 1.41/1.78 X ) }.
% 1.41/1.78 (12951) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! upper_bound( T, Y, X )
% 1.41/1.78 , alpha17( X, Y, Z, T ) }.
% 1.41/1.78 (12952) {G0,W8,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ), member
% 1.41/1.78 ( X, Y ) }.
% 1.41/1.78 (12953) {G0,W10,D2,L2,V4,M2} { ! greatest_lower_bound( X, Y, Z, T ),
% 1.41/1.78 alpha8( X, Y, Z, T ) }.
% 1.41/1.78 (12954) {G0,W13,D2,L3,V4,M3} { ! member( X, Y ), ! alpha8( X, Y, Z, T ),
% 1.41/1.78 greatest_lower_bound( X, Y, Z, T ) }.
% 1.41/1.78 (12955) {G0,W9,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), lower_bound( X, Z, Y
% 1.41/1.78 ) }.
% 1.41/1.78 (12956) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha14( X, Y, Z, T
% 1.41/1.78 ) }.
% 1.41/1.78 (12957) {G0,W14,D2,L3,V4,M3} { ! lower_bound( X, Z, Y ), ! alpha14( X, Y,
% 1.41/1.78 Z, T ), alpha8( X, Y, Z, T ) }.
% 1.41/1.78 (12958) {G0,W14,D2,L3,V5,M3} { ! alpha14( X, Y, Z, T ), ! alpha18( Y, Z, T
% 1.41/1.78 , U ), apply( Z, U, X ) }.
% 1.41/1.78 (12959) {G0,W13,D3,L2,V6,M2} { ! apply( Z, skol12( X, U, Z, W ), X ),
% 1.41/1.78 alpha14( X, Y, Z, T ) }.
% 1.41/1.78 (12960) {G0,W14,D3,L2,V4,M2} { alpha18( Y, Z, T, skol12( X, Y, Z, T ) ),
% 1.41/1.78 alpha14( X, Y, Z, T ) }.
% 1.41/1.78 (12961) {G0,W8,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), member( T, Z ) }.
% 1.41/1.78 (12962) {G0,W9,D2,L2,V4,M2} { ! alpha18( X, Y, Z, T ), lower_bound( T, Y,
% 1.41/1.78 X ) }.
% 1.41/1.78 (12963) {G0,W12,D2,L3,V4,M3} { ! member( T, Z ), ! lower_bound( T, Y, X )
% 1.41/1.78 , alpha18( X, Y, Z, T ) }.
% 1.41/1.78 (12964) {G0,W3,D2,L1,V0,M1} { order( skol13, skol17 ) }.
% 1.41/1.78 (12965) {G0,W4,D2,L1,V0,M1} { min( skol19, skol13, skol17 ) }.
% 1.41/1.78 (12966) {G0,W4,D2,L1,V0,M1} { min( skol20, skol13, skol17 ) }.
% 1.41/1.78 (12967) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 1.41/1.78 (12968) {G0,W4,D2,L1,V0,M1} { least( skol21, skol13, skol17 ) }.
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Total Proof:
% 1.41/1.78
% 1.41/1.78 subsumption: (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y
% 1.41/1.78 ) }.
% 1.41/1.78 parent0: (12916) {G0,W7,D2,L2,V3,M2} { ! least( Z, X, Y ), member( Z, Y )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 Y := Y
% 1.41/1.78 Z := Z
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y
% 1.41/1.78 , Z ) }.
% 1.41/1.78 parent0: (12917) {G0,W8,D2,L2,V3,M2} { ! least( Z, X, Y ), alpha4( X, Y, Z
% 1.41/1.78 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 Y := Y
% 1.41/1.78 Z := Z
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T
% 1.41/1.78 , Y ), apply( X, Z, T ) }.
% 1.41/1.78 parent0: (12919) {G0,W11,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! member( T,
% 1.41/1.78 Y ), apply( X, Z, T ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 Y := Y
% 1.41/1.78 Z := Z
% 1.41/1.78 T := T
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 2 ==> 2
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (75) {G0,W7,D2,L2,V3,M2} I { ! min( Z, X, Y ), member( Z, Y )
% 1.41/1.78 }.
% 1.41/1.78 parent0: (12931) {G0,W7,D2,L2,V3,M2} { ! min( Z, X, Y ), member( Z, Y )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 Y := Y
% 1.41/1.78 Z := Z
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (76) {G0,W8,D2,L2,V3,M2} I { ! min( Z, X, Y ), alpha6( X, Y, Z
% 1.41/1.78 ) }.
% 1.41/1.78 parent0: (12932) {G0,W8,D2,L2,V3,M2} { ! min( Z, X, Y ), alpha6( X, Y, Z )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 Y := Y
% 1.41/1.78 Z := Z
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (78) {G0,W12,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! alpha12(
% 1.41/1.78 X, Y, Z, T ), Z = T }.
% 1.41/1.78 parent0: (12934) {G0,W12,D2,L3,V4,M3} { ! alpha6( X, Y, Z ), ! alpha12( X
% 1.41/1.78 , Y, Z, T ), Z = T }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 Y := Y
% 1.41/1.78 Z := Z
% 1.41/1.78 T := T
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 2 ==> 2
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (83) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, T
% 1.41/1.78 , Z ), alpha12( X, Y, Z, T ) }.
% 1.41/1.78 parent0: (12939) {G0,W12,D2,L3,V4,M3} { ! member( T, Y ), ! apply( X, T, Z
% 1.41/1.78 ), alpha12( X, Y, Z, T ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 Y := Y
% 1.41/1.78 Z := Z
% 1.41/1.78 T := T
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 2 ==> 2
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 parent0: (12965) {G0,W4,D2,L1,V0,M1} { min( skol19, skol13, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (110) {G0,W4,D2,L1,V0,M1} I { min( skol20, skol13, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 parent0: (12966) {G0,W4,D2,L1,V0,M1} { min( skol20, skol13, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 eqswap: (13072) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 1.41/1.78 parent0[0]: (12967) {G0,W3,D2,L1,V0,M1} { ! skol19 = skol20 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 1.41/1.78 parent0: (13072) {G0,W3,D2,L1,V0,M1} { ! skol20 = skol19 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (112) {G0,W4,D2,L1,V0,M1} I { least( skol21, skol13, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 parent0: (12968) {G0,W4,D2,L1,V0,M1} { least( skol21, skol13, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13086) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 1.41/1.78 parent0[0]: (75) {G0,W7,D2,L2,V3,M2} I { ! min( Z, X, Y ), member( Z, Y )
% 1.41/1.78 }.
% 1.41/1.78 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := skol17
% 1.41/1.78 Z := skol19
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 parent0: (13086) {G1,W3,D2,L1,V0,M1} { member( skol19, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13087) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 1.41/1.78 parent0[0]: (75) {G0,W7,D2,L2,V3,M2} I { ! min( Z, X, Y ), member( Z, Y )
% 1.41/1.78 }.
% 1.41/1.78 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { min( skol20, skol13, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := skol17
% 1.41/1.78 Z := skol20
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (132) {G1,W3,D2,L1,V0,M1} R(75,110) { member( skol20, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 parent0: (13087) {G1,W3,D2,L1,V0,M1} { member( skol20, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13088) {G1,W3,D2,L1,V0,M1} { member( skol21, skol17 ) }.
% 1.41/1.78 parent0[0]: (60) {G0,W7,D2,L2,V3,M2} I { ! least( Z, X, Y ), member( Z, Y )
% 1.41/1.78 }.
% 1.41/1.78 parent1[0]: (112) {G0,W4,D2,L1,V0,M1} I { least( skol21, skol13, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := skol17
% 1.41/1.78 Z := skol21
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (137) {G1,W3,D2,L1,V0,M1} R(60,112) { member( skol21, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 parent0: (13088) {G1,W3,D2,L1,V0,M1} { member( skol21, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13089) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol21 )
% 1.41/1.78 }.
% 1.41/1.78 parent0[0]: (61) {G0,W8,D2,L2,V3,M2} I { ! least( Z, X, Y ), alpha4( X, Y,
% 1.41/1.78 Z ) }.
% 1.41/1.78 parent1[0]: (112) {G0,W4,D2,L1,V0,M1} I { least( skol21, skol13, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := skol17
% 1.41/1.78 Z := skol21
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (1570) {G1,W4,D2,L1,V0,M1} R(61,112) { alpha4( skol13, skol17
% 1.41/1.78 , skol21 ) }.
% 1.41/1.78 parent0: (13089) {G1,W4,D2,L1,V0,M1} { alpha4( skol13, skol17, skol21 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13090) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply(
% 1.41/1.78 skol13, skol21, X ) }.
% 1.41/1.78 parent0[0]: (63) {G0,W11,D2,L3,V4,M3} I { ! alpha4( X, Y, Z ), ! member( T
% 1.41/1.78 , Y ), apply( X, Z, T ) }.
% 1.41/1.78 parent1[0]: (1570) {G1,W4,D2,L1,V0,M1} R(61,112) { alpha4( skol13, skol17,
% 1.41/1.78 skol21 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := skol17
% 1.41/1.78 Z := skol21
% 1.41/1.78 T := X
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (1620) {G2,W7,D2,L2,V1,M2} R(63,1570) { ! member( X, skol17 )
% 1.41/1.78 , apply( skol13, skol21, X ) }.
% 1.41/1.78 parent0: (13090) {G1,W7,D2,L2,V1,M2} { ! member( X, skol17 ), apply(
% 1.41/1.78 skol13, skol21, X ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13091) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol21, skol20 )
% 1.41/1.78 }.
% 1.41/1.78 parent0[0]: (1620) {G2,W7,D2,L2,V1,M2} R(63,1570) { ! member( X, skol17 ),
% 1.41/1.78 apply( skol13, skol21, X ) }.
% 1.41/1.78 parent1[0]: (132) {G1,W3,D2,L1,V0,M1} R(75,110) { member( skol20, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol20
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (1689) {G3,W4,D2,L1,V0,M1} R(1620,132) { apply( skol13, skol21
% 1.41/1.78 , skol20 ) }.
% 1.41/1.78 parent0: (13091) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol21, skol20 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13092) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol21, skol19 )
% 1.41/1.78 }.
% 1.41/1.78 parent0[0]: (1620) {G2,W7,D2,L2,V1,M2} R(63,1570) { ! member( X, skol17 ),
% 1.41/1.78 apply( skol13, skol21, X ) }.
% 1.41/1.78 parent1[0]: (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol19
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (1690) {G3,W4,D2,L1,V0,M1} R(1620,131) { apply( skol13, skol21
% 1.41/1.78 , skol19 ) }.
% 1.41/1.78 parent0: (13092) {G2,W4,D2,L1,V0,M1} { apply( skol13, skol21, skol19 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13093) {G1,W4,D2,L1,V0,M1} { alpha6( skol13, skol17, skol19 )
% 1.41/1.78 }.
% 1.41/1.78 parent0[0]: (76) {G0,W8,D2,L2,V3,M2} I { ! min( Z, X, Y ), alpha6( X, Y, Z
% 1.41/1.78 ) }.
% 1.41/1.78 parent1[0]: (109) {G0,W4,D2,L1,V0,M1} I { min( skol19, skol13, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := skol17
% 1.41/1.78 Z := skol19
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (2253) {G1,W4,D2,L1,V0,M1} R(76,109) { alpha6( skol13, skol17
% 1.41/1.78 , skol19 ) }.
% 1.41/1.78 parent0: (13093) {G1,W4,D2,L1,V0,M1} { alpha6( skol13, skol17, skol19 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13094) {G1,W4,D2,L1,V0,M1} { alpha6( skol13, skol17, skol20 )
% 1.41/1.78 }.
% 1.41/1.78 parent0[0]: (76) {G0,W8,D2,L2,V3,M2} I { ! min( Z, X, Y ), alpha6( X, Y, Z
% 1.41/1.78 ) }.
% 1.41/1.78 parent1[0]: (110) {G0,W4,D2,L1,V0,M1} I { min( skol20, skol13, skol17 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := skol17
% 1.41/1.78 Z := skol20
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (2254) {G1,W4,D2,L1,V0,M1} R(76,110) { alpha6( skol13, skol17
% 1.41/1.78 , skol20 ) }.
% 1.41/1.78 parent0: (13094) {G1,W4,D2,L1,V0,M1} { alpha6( skol13, skol17, skol20 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13095) {G1,W8,D2,L2,V1,M2} { ! member( skol21, X ), alpha12(
% 1.41/1.78 skol13, X, skol19, skol21 ) }.
% 1.41/1.78 parent0[1]: (83) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, T,
% 1.41/1.78 Z ), alpha12( X, Y, Z, T ) }.
% 1.41/1.78 parent1[0]: (1690) {G3,W4,D2,L1,V0,M1} R(1620,131) { apply( skol13, skol21
% 1.41/1.78 , skol19 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := X
% 1.41/1.78 Z := skol19
% 1.41/1.78 T := skol21
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (2437) {G4,W8,D2,L2,V1,M2} R(83,1690) { ! member( skol21, X )
% 1.41/1.78 , alpha12( skol13, X, skol19, skol21 ) }.
% 1.41/1.78 parent0: (13095) {G1,W8,D2,L2,V1,M2} { ! member( skol21, X ), alpha12(
% 1.41/1.78 skol13, X, skol19, skol21 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13096) {G2,W5,D2,L1,V0,M1} { alpha12( skol13, skol17, skol19
% 1.41/1.78 , skol21 ) }.
% 1.41/1.78 parent0[0]: (2437) {G4,W8,D2,L2,V1,M2} R(83,1690) { ! member( skol21, X ),
% 1.41/1.78 alpha12( skol13, X, skol19, skol21 ) }.
% 1.41/1.78 parent1[0]: (137) {G1,W3,D2,L1,V0,M1} R(60,112) { member( skol21, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol17
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (10854) {G5,W5,D2,L1,V0,M1} R(2437,137) { alpha12( skol13,
% 1.41/1.78 skol17, skol19, skol21 ) }.
% 1.41/1.78 parent0: (13096) {G2,W5,D2,L1,V0,M1} { alpha12( skol13, skol17, skol19,
% 1.41/1.78 skol21 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 eqswap: (13097) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha6( Z, T, X ), !
% 1.41/1.78 alpha12( Z, T, X, Y ) }.
% 1.41/1.78 parent0[2]: (78) {G0,W12,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! alpha12( X
% 1.41/1.78 , Y, Z, T ), Z = T }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := Z
% 1.41/1.78 Y := T
% 1.41/1.78 Z := X
% 1.41/1.78 T := Y
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13098) {G1,W7,D2,L2,V0,M2} { skol21 = skol19, ! alpha6(
% 1.41/1.78 skol13, skol17, skol19 ) }.
% 1.41/1.78 parent0[2]: (13097) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha6( Z, T, X ), !
% 1.41/1.78 alpha12( Z, T, X, Y ) }.
% 1.41/1.78 parent1[0]: (10854) {G5,W5,D2,L1,V0,M1} R(2437,137) { alpha12( skol13,
% 1.41/1.78 skol17, skol19, skol21 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol19
% 1.41/1.78 Y := skol21
% 1.41/1.78 Z := skol13
% 1.41/1.78 T := skol17
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13099) {G2,W3,D2,L1,V0,M1} { skol21 = skol19 }.
% 1.41/1.78 parent0[1]: (13098) {G1,W7,D2,L2,V0,M2} { skol21 = skol19, ! alpha6(
% 1.41/1.78 skol13, skol17, skol19 ) }.
% 1.41/1.78 parent1[0]: (2253) {G1,W4,D2,L1,V0,M1} R(76,109) { alpha6( skol13, skol17,
% 1.41/1.78 skol19 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (10889) {G6,W3,D2,L1,V0,M1} R(10854,78);r(2253) { skol21 ==>
% 1.41/1.78 skol19 }.
% 1.41/1.78 parent0: (13099) {G2,W3,D2,L1,V0,M1} { skol21 = skol19 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 paramod: (13102) {G4,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol20 ) }.
% 1.41/1.78 parent0[0]: (10889) {G6,W3,D2,L1,V0,M1} R(10854,78);r(2253) { skol21 ==>
% 1.41/1.78 skol19 }.
% 1.41/1.78 parent1[0; 2]: (1689) {G3,W4,D2,L1,V0,M1} R(1620,132) { apply( skol13,
% 1.41/1.78 skol21, skol20 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (10925) {G7,W4,D2,L1,V0,M1} P(10889,1689) { apply( skol13,
% 1.41/1.78 skol19, skol20 ) }.
% 1.41/1.78 parent0: (13102) {G4,W4,D2,L1,V0,M1} { apply( skol13, skol19, skol20 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13103) {G1,W8,D2,L2,V1,M2} { ! member( skol19, X ), alpha12(
% 1.41/1.78 skol13, X, skol20, skol19 ) }.
% 1.41/1.78 parent0[1]: (83) {G0,W12,D2,L3,V4,M3} I { ! member( T, Y ), ! apply( X, T,
% 1.41/1.78 Z ), alpha12( X, Y, Z, T ) }.
% 1.41/1.78 parent1[0]: (10925) {G7,W4,D2,L1,V0,M1} P(10889,1689) { apply( skol13,
% 1.41/1.78 skol19, skol20 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol13
% 1.41/1.78 Y := X
% 1.41/1.78 Z := skol20
% 1.41/1.78 T := skol19
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (10996) {G8,W8,D2,L2,V1,M2} R(10925,83) { ! member( skol19, X
% 1.41/1.78 ), alpha12( skol13, X, skol20, skol19 ) }.
% 1.41/1.78 parent0: (13103) {G1,W8,D2,L2,V1,M2} { ! member( skol19, X ), alpha12(
% 1.41/1.78 skol13, X, skol20, skol19 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := X
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 1 ==> 1
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13104) {G2,W5,D2,L1,V0,M1} { alpha12( skol13, skol17, skol20
% 1.41/1.78 , skol19 ) }.
% 1.41/1.78 parent0[0]: (10996) {G8,W8,D2,L2,V1,M2} R(10925,83) { ! member( skol19, X )
% 1.41/1.78 , alpha12( skol13, X, skol20, skol19 ) }.
% 1.41/1.78 parent1[0]: (131) {G1,W3,D2,L1,V0,M1} R(75,109) { member( skol19, skol17 )
% 1.41/1.78 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol17
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (12851) {G9,W5,D2,L1,V0,M1} R(10996,131) { alpha12( skol13,
% 1.41/1.78 skol17, skol20, skol19 ) }.
% 1.41/1.78 parent0: (13104) {G2,W5,D2,L1,V0,M1} { alpha12( skol13, skol17, skol20,
% 1.41/1.78 skol19 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 eqswap: (13105) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha6( Z, T, X ), !
% 1.41/1.78 alpha12( Z, T, X, Y ) }.
% 1.41/1.78 parent0[2]: (78) {G0,W12,D2,L3,V4,M3} I { ! alpha6( X, Y, Z ), ! alpha12( X
% 1.41/1.78 , Y, Z, T ), Z = T }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := Z
% 1.41/1.78 Y := T
% 1.41/1.78 Z := X
% 1.41/1.78 T := Y
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13106) {G1,W7,D2,L2,V0,M2} { skol19 = skol20, ! alpha6(
% 1.41/1.78 skol13, skol17, skol20 ) }.
% 1.41/1.78 parent0[2]: (13105) {G0,W12,D2,L3,V4,M3} { Y = X, ! alpha6( Z, T, X ), !
% 1.41/1.78 alpha12( Z, T, X, Y ) }.
% 1.41/1.78 parent1[0]: (12851) {G9,W5,D2,L1,V0,M1} R(10996,131) { alpha12( skol13,
% 1.41/1.78 skol17, skol20, skol19 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 X := skol20
% 1.41/1.78 Y := skol19
% 1.41/1.78 Z := skol13
% 1.41/1.78 T := skol17
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13107) {G2,W3,D2,L1,V0,M1} { skol19 = skol20 }.
% 1.41/1.78 parent0[1]: (13106) {G1,W7,D2,L2,V0,M2} { skol19 = skol20, ! alpha6(
% 1.41/1.78 skol13, skol17, skol20 ) }.
% 1.41/1.78 parent1[0]: (2254) {G1,W4,D2,L1,V0,M1} R(76,110) { alpha6( skol13, skol17,
% 1.41/1.78 skol20 ) }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 eqswap: (13108) {G2,W3,D2,L1,V0,M1} { skol20 = skol19 }.
% 1.41/1.78 parent0[0]: (13107) {G2,W3,D2,L1,V0,M1} { skol19 = skol20 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (12853) {G10,W3,D2,L1,V0,M1} R(12851,78);r(2254) { skol20 ==>
% 1.41/1.78 skol19 }.
% 1.41/1.78 parent0: (13108) {G2,W3,D2,L1,V0,M1} { skol20 = skol19 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 0 ==> 0
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 resolution: (13111) {G1,W0,D0,L0,V0,M0} { }.
% 1.41/1.78 parent0[0]: (111) {G0,W3,D2,L1,V0,M1} I { ! skol20 ==> skol19 }.
% 1.41/1.78 parent1[0]: (12853) {G10,W3,D2,L1,V0,M1} R(12851,78);r(2254) { skol20 ==>
% 1.41/1.78 skol19 }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 substitution1:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 subsumption: (12854) {G11,W0,D0,L0,V0,M0} S(12853);r(111) { }.
% 1.41/1.78 parent0: (13111) {G1,W0,D0,L0,V0,M0} { }.
% 1.41/1.78 substitution0:
% 1.41/1.78 end
% 1.41/1.78 permutation0:
% 1.41/1.78 end
% 1.41/1.78
% 1.41/1.78 Proof check complete!
% 1.41/1.78
% 1.41/1.78 Memory use:
% 1.41/1.78
% 1.41/1.78 space for terms: 171220
% 1.41/1.78 space for clauses: 537977
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 clauses generated: 66221
% 1.41/1.78 clauses kept: 12855
% 1.41/1.78 clauses selected: 1352
% 1.41/1.78 clauses deleted: 443
% 1.41/1.78 clauses inuse deleted: 400
% 1.41/1.78
% 1.41/1.78 subsentry: 201288
% 1.41/1.78 literals s-matched: 167235
% 1.41/1.78 literals matched: 112805
% 1.41/1.78 full subsumption: 3559
% 1.41/1.78
% 1.41/1.78 checksum: -1755166554
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Bliksem ended
%------------------------------------------------------------------------------