TSTP Solution File: NUM374+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM374+2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 06:21:43 EDT 2022
% Result : Timeout 300.04s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM374+2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.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 : Wed Jul 6 02:32:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.11 *** allocated 10000 integers for termspace/termends
% 0.45/1.11 *** allocated 10000 integers for clauses
% 0.45/1.11 *** allocated 10000 integers for justifications
% 0.45/1.11 Bliksem 1.12
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 Automatic Strategy Selection
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 Clauses:
% 0.45/1.11
% 0.45/1.11 { sum( X, Y ) = sum( Y, X ) }.
% 0.45/1.11 { sum( X, sum( Y, Z ) ) = sum( sum( X, Y ), Z ) }.
% 0.45/1.11 { product( X, n1 ) = X }.
% 0.45/1.11 { product( X, Y ) = product( Y, X ) }.
% 0.45/1.11 { product( X, product( Y, Z ) ) = product( product( X, Y ), Z ) }.
% 0.45/1.11 { product( X, sum( Y, Z ) ) = sum( product( X, Y ), product( X, Z ) ) }.
% 0.45/1.11 { exponent( n1, X ) = n1 }.
% 0.45/1.11 { exponent( X, n1 ) = X }.
% 0.45/1.11 { exponent( X, sum( Y, Z ) ) = product( exponent( X, Y ), exponent( X, Z )
% 0.45/1.11 ) }.
% 0.45/1.11 { exponent( product( X, Y ), Z ) = product( exponent( X, Z ), exponent( Y,
% 0.45/1.11 Z ) ) }.
% 0.45/1.11 { exponent( exponent( X, Y ), Z ) = exponent( X, product( Y, Z ) ) }.
% 0.45/1.11 { ! lemmas( X, Y, Z, T, U, W ), n2 = sum( n1, n1 ) }.
% 0.45/1.11 { ! lemmas( X, Y, Z, T, U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.45/1.11 { ! n2 = sum( n1, n1 ), ! alpha7( X, Y, Z, T, U, W ), lemmas( X, Y, Z, T, U
% 0.45/1.11 , W ) }.
% 0.45/1.11 { ! alpha7( X, Y, Z, T, U, W ), ! W = n0 }.
% 0.45/1.11 { ! alpha7( X, Y, Z, T, U, W ), alpha10( X, Y, Z, T, U, W ) }.
% 0.45/1.11 { W = n0, ! alpha10( X, Y, Z, T, U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 0.45/1.11 { ! alpha10( X, Y, Z, T, U, W ), ! W = n1 }.
% 0.45/1.11 { ! alpha10( X, Y, Z, T, U, W ), alpha12( X, Y, Z, T, U, W ) }.
% 0.45/1.11 { W = n1, ! alpha12( X, Y, Z, T, U, W ), alpha10( X, Y, Z, T, U, W ) }.
% 0.45/1.11 { ! alpha12( X, Y, Z, T, U, W ), ! W = n2 }.
% 0.45/1.11 { ! alpha12( X, Y, Z, T, U, W ), alpha14( X, Y, Z, T, U, W ) }.
% 0.45/1.11 { W = n2, ! alpha14( X, Y, Z, T, U, W ), alpha12( X, Y, Z, T, U, W ) }.
% 0.45/1.11 { ! alpha14( X, Y, Z, T, U, W ), ! W = product( n0, V0 ) }.
% 0.45/1.11 { ! alpha14( X, Y, Z, T, U, W ), alpha4( X, Y, Z, T, U ) }.
% 0.45/1.11 { W = product( n0, skol1( W ) ), ! alpha4( X, Y, Z, T, U ), alpha14( X, Y,
% 0.45/1.11 Z, T, U, W ) }.
% 0.45/1.11 { ! alpha4( X, Y, Z, T, U ), ! Y = product( Z, W ) }.
% 0.45/1.11 { ! alpha4( X, Y, Z, T, U ), alpha8( X, Y, Z, T, U ) }.
% 0.45/1.11 { Y = product( Z, skol2( Y, Z ) ), ! alpha8( X, Y, Z, T, U ), alpha4( X, Y
% 0.45/1.11 , Z, T, U ) }.
% 0.45/1.11 { ! alpha8( X, Y, Z, T, U ), ! Z = product( Y, W ) }.
% 0.45/1.11 { ! alpha8( X, Y, Z, T, U ), alpha2( X, T, U ) }.
% 0.45/1.11 { Z = product( Y, skol3( Y, Z ) ), ! alpha2( X, T, U ), alpha8( X, Y, Z, T
% 0.45/1.11 , U ) }.
% 0.45/1.11 { ! alpha2( X, Y, Z ), ! Y = product( Z, T ) }.
% 0.45/1.11 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.45/1.11 { Y = product( Z, skol4( Y, Z ) ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z ) }
% 0.45/1.11 .
% 0.45/1.11 { ! alpha5( X, Y, Z ), ! Z = product( Y, T ) }.
% 0.45/1.11 { ! alpha5( X, Y, Z ), alpha1( X ) }.
% 0.45/1.11 { Z = product( Y, skol5( Y, Z ) ), ! alpha1( X ), alpha5( X, Y, Z ) }.
% 0.45/1.11 { ! alpha1( X ), ! sum( n1, n0 ) = n1 }.
% 0.45/1.11 { ! alpha1( X ), alpha3( X ) }.
% 0.45/1.11 { sum( n1, n0 ) = n1, ! alpha3( X ), alpha1( X ) }.
% 0.45/1.11 { ! alpha3( X ), ! sum( n2, n0 ) = n1 }.
% 0.45/1.11 { ! alpha3( X ), alpha6( X ) }.
% 0.45/1.11 { sum( n2, n0 ) = n1, ! alpha6( X ), alpha3( X ) }.
% 0.45/1.11 { ! alpha6( X ), ! sum( n0, n0 ) = n1 }.
% 0.45/1.11 { ! alpha6( X ), alpha9( X ) }.
% 0.45/1.11 { sum( n0, n0 ) = n1, ! alpha9( X ), alpha6( X ) }.
% 0.45/1.11 { ! alpha9( X ), ! X = n1 }.
% 0.45/1.11 { ! alpha9( X ), alpha11( X ) }.
% 0.45/1.11 { X = n1, ! alpha11( X ), alpha9( X ) }.
% 0.45/1.11 { ! alpha11( X ), ! sum( n1, X ) = n1 }.
% 0.45/1.11 { ! alpha11( X ), alpha13( X ) }.
% 0.45/1.11 { sum( n1, X ) = n1, ! alpha13( X ), alpha11( X ) }.
% 0.45/1.11 { ! alpha13( X ), ! product( X, n0 ) = n1 }.
% 0.45/1.11 { ! alpha13( X ), alpha15( X ) }.
% 0.45/1.11 { product( X, n0 ) = n1, ! alpha15( X ), alpha13( X ) }.
% 0.45/1.11 { ! alpha15( X ), ! sum( n1, n0 ) = n0 }.
% 0.45/1.11 { ! alpha15( X ), alpha16( X ) }.
% 0.45/1.11 { sum( n1, n0 ) = n0, ! alpha16( X ), alpha15( X ) }.
% 0.45/1.11 { ! alpha16( X ), ! sum( n2, n0 ) = n0 }.
% 0.45/1.11 { ! alpha16( X ), alpha17( X ) }.
% 0.45/1.11 { sum( n2, n0 ) = n0, ! alpha17( X ), alpha16( X ) }.
% 0.45/1.11 { ! alpha17( X ), ! sum( n0, n0 ) = n0 }.
% 0.45/1.11 { ! alpha17( X ), alpha18( X ) }.
% 0.45/1.11 { sum( n0, n0 ) = n0, ! alpha18( X ), alpha17( X ) }.
% 0.45/1.11 { ! alpha18( X ), ! X = n0 }.
% 0.45/1.11 { ! alpha18( X ), alpha19( X ) }.
% 0.45/1.11 { X = n0, ! alpha19( X ), alpha18( X ) }.
% 0.45/1.11 { ! alpha19( X ), ! sum( n1, X ) = n0 }.
% 0.45/1.11 { ! alpha19( X ), alpha20( X ) }.
% 0.45/1.11 { sum( n1, X ) = n0, ! alpha20( X ), alpha19( X ) }.
% 0.45/1.11 { ! alpha20( X ), ! sum( n2, n0 ) = sum( n1, n0 ) }.
% 0.45/1.11 { ! alpha20( X ), alpha21( X ) }.
% 0.45/1.11 { sum( n2, n0 ) = sum( n1, n0 ), ! alpha21( X ), alpha20( X ) }.
% 0.45/1.11 { ! alpha21( X ), ! X = sum( n1, n0 ) }.
% 0.45/1.11 { ! alpha21( X ), alpha22( X ) }.
% 0.45/1.11 { X = sum( n1, n0 ), ! alpha22( X ), alpha21( X ) }.
% 24.67/25.07 { ! alpha22( X ), ! product( X, n0 ) = sum( n1, n0 ) }.
% 24.67/25.07 { ! alpha22( X ), alpha23( X ) }.
% 24.67/25.07 { product( X, n0 ) = sum( n1, n0 ), ! alpha23( X ), alpha22( X ) }.
% 24.67/25.07 { ! alpha23( X ), ! X = sum( n2, n0 ) }.
% 24.67/25.07 { ! alpha23( X ), alpha24( X ) }.
% 24.67/25.07 { X = sum( n2, n0 ), ! alpha24( X ), alpha23( X ) }.
% 24.67/25.07 { ! alpha24( X ), ! X = sum( n0, n0 ) }.
% 24.67/25.07 { ! alpha24( X ), ! sum( n1, X ) = X }.
% 24.67/25.07 { X = sum( n0, n0 ), sum( n1, X ) = X, alpha24( X ) }.
% 24.67/25.07 { ! n0 = n1 }.
% 24.67/25.07 { ! n0 = n2 }.
% 24.67/25.07 { ! n1 = n2 }.
% 24.67/25.07 { skol12 = product( skol10, skol10 ) }.
% 24.67/25.07 { skol6 = sum( n1, skol10 ) }.
% 24.67/25.07 { skol7 = sum( skol6, skol12 ) }.
% 24.67/25.07 { skol8 = sum( n1, product( skol10, skol12 ) ) }.
% 24.67/25.07 { skol9 = sum( sum( n1, skol12 ), product( skol12, skol12 ) ) }.
% 24.67/25.07 { lemmas( skol12, skol6, skol7, skol8, skol9, skol11 ) }.
% 24.67/25.07 { ! product( exponent( sum( exponent( skol6, skol10 ), exponent( skol7,
% 24.67/25.07 skol10 ) ), skol11 ), exponent( sum( exponent( skol8, skol11 ), exponent
% 24.67/25.07 ( skol9, skol11 ) ), skol10 ) ) = product( exponent( sum( exponent( skol6
% 24.67/25.07 , skol11 ), exponent( skol7, skol11 ) ), skol10 ), exponent( sum(
% 24.67/25.07 exponent( skol8, skol10 ), exponent( skol9, skol10 ) ), skol11 ) ) }.
% 24.67/25.07
% 24.67/25.07 percentage equality = 0.367347, percentage horn = 0.750000
% 24.67/25.07 This is a problem with some equality
% 24.67/25.07
% 24.67/25.07
% 24.67/25.07
% 24.67/25.07 Options Used:
% 24.67/25.07
% 24.67/25.07 useres = 1
% 24.67/25.07 useparamod = 1
% 24.67/25.07 useeqrefl = 1
% 24.67/25.07 useeqfact = 1
% 24.67/25.07 usefactor = 1
% 24.67/25.07 usesimpsplitting = 0
% 24.67/25.07 usesimpdemod = 5
% 24.67/25.07 usesimpres = 3
% 24.67/25.07
% 24.67/25.07 resimpinuse = 1000
% 24.67/25.07 resimpclauses = 20000
% 24.67/25.07 substype = eqrewr
% 24.67/25.07 backwardsubs = 1
% 24.67/25.07 selectoldest = 5
% 24.67/25.07
% 24.67/25.07 litorderings [0] = split
% 24.67/25.07 litorderings [1] = extend the termordering, first sorting on arguments
% 24.67/25.07
% 24.67/25.07 termordering = kbo
% 24.67/25.07
% 24.67/25.07 litapriori = 0
% 24.67/25.07 termapriori = 1
% 24.67/25.07 litaposteriori = 0
% 24.67/25.07 termaposteriori = 0
% 24.67/25.07 demodaposteriori = 0
% 24.67/25.07 ordereqreflfact = 0
% 24.67/25.07
% 24.67/25.07 litselect = negord
% 24.67/25.07
% 24.67/25.07 maxweight = 15
% 24.67/25.07 maxdepth = 30000
% 24.67/25.07 maxlength = 115
% 24.67/25.07 maxnrvars = 195
% 24.67/25.07 excuselevel = 1
% 24.67/25.07 increasemaxweight = 1
% 24.67/25.07
% 24.67/25.07 maxselected = 10000000
% 24.67/25.07 maxnrclauses = 10000000
% 24.67/25.07
% 24.67/25.07 showgenerated = 0
% 24.67/25.07 showkept = 0
% 24.67/25.07 showselected = 0
% 24.67/25.07 showdeleted = 0
% 24.67/25.07 showresimp = 1
% 24.67/25.07 showstatus = 2000
% 24.67/25.07
% 24.67/25.07 prologoutput = 0
% 24.67/25.07 nrgoals = 5000000
% 24.67/25.07 totalproof = 1
% 24.67/25.07
% 24.67/25.07 Symbols occurring in the translation:
% 24.67/25.07
% 24.67/25.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 24.67/25.07 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 24.67/25.07 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 24.67/25.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.67/25.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.67/25.07 sum [37, 2] (w:1, o:72, a:1, s:1, b:0),
% 24.67/25.07 n1 [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 24.67/25.07 product [40, 2] (w:1, o:73, a:1, s:1, b:0),
% 24.67/25.07 exponent [41, 2] (w:1, o:74, a:1, s:1, b:0),
% 24.67/25.07 lemmas [48, 6] (w:1, o:83, a:1, s:1, b:0),
% 24.67/25.07 n2 [49, 0] (w:1, o:18, a:1, s:1, b:0),
% 24.67/25.07 n0 [50, 0] (w:1, o:9, a:1, s:1, b:0),
% 24.67/25.07 alpha1 [52, 1] (w:1, o:31, a:1, s:1, b:1),
% 24.67/25.07 alpha2 [53, 3] (w:1, o:79, a:1, s:1, b:1),
% 24.67/25.07 alpha3 [54, 1] (w:1, o:37, a:1, s:1, b:1),
% 24.67/25.07 alpha4 [55, 5] (w:1, o:81, a:1, s:1, b:1),
% 24.67/25.07 alpha5 [56, 3] (w:1, o:80, a:1, s:1, b:1),
% 24.67/25.07 alpha6 [57, 1] (w:1, o:38, a:1, s:1, b:1),
% 24.67/25.07 alpha7 [58, 6] (w:1, o:84, a:1, s:1, b:1),
% 24.67/25.07 alpha8 [59, 5] (w:1, o:82, a:1, s:1, b:1),
% 24.67/25.07 alpha9 [60, 1] (w:1, o:39, a:1, s:1, b:1),
% 24.67/25.07 alpha10 [61, 6] (w:1, o:85, a:1, s:1, b:1),
% 24.67/25.07 alpha11 [62, 1] (w:1, o:40, a:1, s:1, b:1),
% 24.67/25.07 alpha12 [63, 6] (w:1, o:86, a:1, s:1, b:1),
% 24.67/25.07 alpha13 [64, 1] (w:1, o:41, a:1, s:1, b:1),
% 24.67/25.07 alpha14 [65, 6] (w:1, o:87, a:1, s:1, b:1),
% 24.67/25.07 alpha15 [66, 1] (w:1, o:42, a:1, s:1, b:1),
% 24.67/25.07 alpha16 [67, 1] (w:1, o:43, a:1, s:1, b:1),
% 24.67/25.07 alpha17 [68, 1] (w:1, o:44, a:1, s:1, b:1),
% 24.67/25.07 alpha18 [69, 1] (w:1, o:45, a:1, s:1, b:1),
% 24.67/25.07 alpha19 [70, 1] (w:1, o:46, a:1, s:1, b:1),
% 24.67/25.07 alpha20 [71, 1] (w:1, o:32, a:1, s:1, b:1),
% 24.67/25.07 alpha21 [72, 1] (w:1, o:33, a:1, s:1, b:1),
% 24.67/25.07 alpha22 [73, 1] (w:1, o:34, a:1, s:1, b:1),
% 24.67/25.07 alpha23 [74, 1] (w:1, o:35, a:1, s:1, b:1),
% 24.67/25.07 alpha24 [75, 1] (w:1, o:36, a:1, s:1, b:1),
% 24.67/25.07 skol1 [76, 1] (w:1, o:47, a:1, s:1, b:1),
% 24.67/25.07 skol2 [77, 2] Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------