TSTP Solution File: NUM489+3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM489+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 06:22:49 EDT 2022
% Result : Theorem 0.44s 1.12s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM489+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jul 7 13:12:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.11 *** allocated 10000 integers for termspace/termends
% 0.44/1.11 *** allocated 10000 integers for clauses
% 0.44/1.11 *** allocated 10000 integers for justifications
% 0.44/1.11 Bliksem 1.12
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Automatic Strategy Selection
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Clauses:
% 0.44/1.11
% 0.44/1.11 { && }.
% 0.44/1.11 { aNaturalNumber0( sz00 ) }.
% 0.44/1.11 { aNaturalNumber0( sz10 ) }.
% 0.44/1.11 { ! sz10 = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.44/1.11 ( X, Y ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.44/1.11 ( X, Y ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.44/1.11 sdtpldt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.44/1.11 sdtasdt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.44/1.11 , Z ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.44/1.11 , X ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.44/1.11 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.44/1.11 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.44/1.11 , X = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.44/1.11 , Y = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.44/1.11 , X = sz00, Y = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.44/1.11 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.44/1.11 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.44/1.11 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.44/1.11 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.44/1.11 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.44/1.11 sdtlseqdt0( Y, X ), X = Y }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.44/1.11 X }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.44/1.11 sdtlseqdt0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.44/1.11 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.44/1.11 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.44/1.11 ) ) }.
% 0.44/1.11 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.44/1.11 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.44/1.11 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.44/1.11 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.44/1.11 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.44/1.11 ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.44/1.11 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.44/1.11 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.44/1.11 sdtasdt0( Z, X ) ) }.
% 0.44/1.11 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.44/1.11 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.44/1.11 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.44/1.11 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.44/1.11 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.44/1.11 ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.44/1.11 sdtasdt0( Y, X ) ) }.
% 0.44/1.11 { && }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.44/1.11 ), iLess0( X, Y ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.44/1.11 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.44/1.11 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.44/1.11 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.44/1.11 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.44/1.11 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.44/1.11 ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.44/1.11 ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.44/1.11 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.44/1.11 Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.44/1.11 sz00, sdtlseqdt0( X, Y ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.44/1.11 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.44/1.11 ( sdtasdt0( Z, Y ), X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.44/1.11 { ! alpha1( X ), ! X = sz10 }.
% 0.44/1.11 { ! alpha1( X ), alpha2( X ) }.
% 0.44/1.11 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.44/1.11 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.44/1.11 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.44/1.11 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.44/1.11 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.44/1.11 { ! Y = sz10, alpha4( X, Y ) }.
% 0.44/1.11 { ! Y = X, alpha4( X, Y ) }.
% 0.44/1.11 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.44/1.11 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.11 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.44/1.11 }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.44/1.11 .
% 0.44/1.11 { aNaturalNumber0( xn ) }.
% 0.44/1.11 { aNaturalNumber0( xm ) }.
% 0.44/1.11 { aNaturalNumber0( xp ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.44/1.11 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.44/1.11 ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.44/1.11 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.44/1.11 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.44/1.12 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z
% 0.44/1.12 ), alpha10( Y, Z ) }.
% 0.44/1.12 { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.44/1.12 { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.44/1.12 { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.44/1.12 alpha10( X, Y ) }.
% 0.44/1.12 { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.44/1.12 { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.44/1.12 { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.12 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.44/1.12 alpha8( X, Y ) }.
% 0.44/1.12 { ! alpha7( X ), alpha9( X ) }.
% 0.44/1.12 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.44/1.12 { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.44/1.12 { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.44/1.12 { ! alpha11( X ), alpha9( X ) }.
% 0.44/1.12 { ! alpha12( X ), alpha9( X ) }.
% 0.44/1.12 { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.44/1.12 { ! alpha12( X ), ! skol7( X ) = X }.
% 0.44/1.12 { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.44/1.12 { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.44/1.12 { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.44/1.12 { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y ) }.
% 0.44/1.12 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.44/1.12 { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.12 { ! alpha15( X, Y ), ! doDivides0( Y, X ), alpha14( X, Y ) }.
% 0.44/1.12 { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.44/1.12 { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.44/1.12 { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.44/1.12 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.44/1.12 alpha15( X, Y ) }.
% 0.44/1.12 { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.44/1.12 { ! X = sz00, alpha11( X ) }.
% 0.44/1.12 { ! X = sz10, alpha11( X ) }.
% 0.44/1.12 { ! xp = sz00 }.
% 0.44/1.12 { ! xp = sz10 }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.44/1.12 X = sz10, X = xp }.
% 0.44/1.12 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.44/1.12 { isPrime0( xp ) }.
% 0.44/1.12 { aNaturalNumber0( skol9 ) }.
% 0.44/1.12 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.44/1.12 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.44/1.12 { aNaturalNumber0( skol10 ) }.
% 0.44/1.12 { sdtpldt0( xp, skol10 ) = xn }.
% 0.44/1.12 { sdtlseqdt0( xp, xn ) }.
% 0.44/1.12 { aNaturalNumber0( xr ) }.
% 0.44/1.12 { sdtpldt0( xp, xr ) = xn }.
% 0.44/1.12 { xr = sdtmndt0( xn, xp ) }.
% 0.44/1.12 { ! xr = xn }.
% 0.44/1.12 { aNaturalNumber0( skol11 ) }.
% 0.44/1.12 { sdtpldt0( xr, skol11 ) = xn }.
% 0.44/1.12 { sdtlseqdt0( xr, xn ) }.
% 0.44/1.12 { ! xn = sdtpldt0( xp, xr ) }.
% 0.44/1.12
% 0.44/1.12 percentage equality = 0.275534, percentage horn = 0.740741
% 0.44/1.12 This is a problem with some equality
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Options Used:
% 0.44/1.12
% 0.44/1.12 useres = 1
% 0.44/1.12 useparamod = 1
% 0.44/1.12 useeqrefl = 1
% 0.44/1.12 useeqfact = 1
% 0.44/1.12 usefactor = 1
% 0.44/1.12 usesimpsplitting = 0
% 0.44/1.12 usesimpdemod = 5
% 0.44/1.12 usesimpres = 3
% 0.44/1.12
% 0.44/1.12 resimpinuse = 1000
% 0.44/1.12 resimpclauses = 20000
% 0.44/1.12 substype = eqrewr
% 0.44/1.12 backwardsubs = 1
% 0.44/1.12 selectoldest = 5
% 0.44/1.12
% 0.44/1.12 litorderings [0] = split
% 0.44/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.12
% 0.44/1.12 termordering = kbo
% 0.44/1.12
% 0.44/1.12 litapriori = 0
% 0.44/1.12 termapriori = 1
% 0.44/1.12 litaposteriori = 0
% 0.44/1.12 termaposteriori = 0
% 0.44/1.12 demodaposteriori = 0
% 0.44/1.12 ordereqreflfact = 0
% 0.44/1.12
% 0.44/1.12 litselect = negord
% 0.44/1.12
% 0.44/1.12 maxweight = 15
% 0.44/1.12 maxdepth = 30000
% 0.44/1.12 maxlength = 115
% 0.44/1.12 maxnrvars = 195
% 0.44/1.12 excuselevel = 1
% 0.44/1.12 increasemaxweight = 1
% 0.44/1.12
% 0.44/1.12 maxselected = 10000000
% 0.44/1.12 maxnrclauses = 10000000
% 0.44/1.12
% 0.44/1.12 showgenerated = 0
% 0.44/1.12 showkept = 0
% 0.44/1.12 showselected = 0
% 0.44/1.12 showdeleted = 0
% 0.44/1.12 showresimp = 1
% 0.44/1.12 showstatus = 2000
% 0.44/1.12
% 0.44/1.12 prologoutput = 0
% 0.44/1.12 nrgoals = 5000000
% 0.44/1.12 totalproof = 1
% 0.44/1.12
% 0.44/1.12 Symbols occurring in the translation:
% 0.44/1.12
% 0.44/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.12 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.44/1.12 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.44/1.12 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.44/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.12 aNaturalNumber0 [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.12 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.44/1.12 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.44/1.12 sdtpldt0 [40, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.44/1.12 sdtasdt0 [41, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.44/1.12 sdtlseqdt0 [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.44/1.12 sdtmndt0 [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.44/1.12 iLess0 [45, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.44/1.12 doDivides0 [46, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.44/1.12 sdtsldt0 [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.44/1.12 isPrime0 [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.44/1.12 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.12 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.44/1.12 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.12 xr [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.44/1.12 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.44/1.12 alpha2 [56, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.44/1.12 alpha3 [57, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.44/1.12 alpha4 [58, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.44/1.12 alpha5 [59, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.44/1.12 alpha6 [60, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.44/1.12 alpha7 [61, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.44/1.12 alpha8 [62, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.44/1.12 alpha9 [63, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.44/1.12 alpha10 [64, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.44/1.12 alpha11 [65, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.44/1.12 alpha12 [66, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.44/1.12 alpha13 [67, 2] (w:1, o:71, a:1, s:1, b:1),
% 0.44/1.12 alpha14 [68, 2] (w:1, o:72, a:1, s:1, b:1),
% 0.44/1.12 alpha15 [69, 2] (w:1, o:73, a:1, s:1, b:1),
% 0.44/1.12 skol1 [70, 2] (w:1, o:74, a:1, s:1, b:1),
% 0.44/1.12 skol2 [71, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.44/1.12 skol3 [72, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.44/1.12 skol4 [73, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.44/1.12 skol5 [74, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.44/1.12 skol6 [75, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.44/1.12 skol7 [76, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.44/1.12 skol8 [77, 2] (w:1, o:78, a:1, s:1, b:1),
% 0.44/1.12 skol9 [78, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.44/1.12 skol10 [79, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.44/1.12 skol11 [80, 0] (w:1, o:19, a:1, s:1, b:1).
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Starting Search:
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Bliksems!, er is een bewijs:
% 0.44/1.12 % SZS status Theorem
% 0.44/1.12 % SZS output start Refutation
% 0.44/1.12
% 0.44/1.12 (128) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xp, xr ) ==> xn }.
% 0.44/1.12 (134) {G1,W0,D0,L0,V0,M0} I;d(128);q { }.
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 % SZS output end Refutation
% 0.44/1.12 found a proof!
% 0.44/1.12
% 0.44/1.12 *** allocated 15000 integers for clauses
% 0.44/1.12
% 0.44/1.12 Unprocessed initial clauses:
% 0.44/1.12
% 0.44/1.12 (136) {G0,W1,D1,L1,V0,M1} { && }.
% 0.44/1.12 (137) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.44/1.12 (138) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.44/1.12 (139) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.44/1.12 (140) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.44/1.12 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.44/1.12 (141) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.44/1.12 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.44/1.12 (142) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.44/1.12 (143) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.44/1.12 , sdtpldt0( Y, Z ) ) }.
% 0.44/1.12 (144) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.44/1.12 X }.
% 0.44/1.12 (145) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.44/1.12 ) }.
% 0.44/1.12 (146) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.44/1.12 (147) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.44/1.12 , sdtasdt0( Y, Z ) ) }.
% 0.44/1.12 (148) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.44/1.12 X }.
% 0.44/1.12 (149) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.44/1.12 ) }.
% 0.44/1.12 (150) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.44/1.12 sz00 }.
% 0.44/1.12 (151) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.44/1.12 , X ) }.
% 0.44/1.12 (152) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.44/1.12 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.44/1.12 (153) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.44/1.12 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.44/1.12 (154) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.44/1.12 }.
% 0.44/1.12 (155) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.44/1.12 }.
% 0.44/1.12 (156) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.44/1.12 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.44/1.12 sdtasdt0( X, Z ), Y = Z }.
% 0.44/1.12 (157) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.44/1.12 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.44/1.12 sdtasdt0( Z, X ), Y = Z }.
% 0.44/1.12 (158) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.44/1.12 (159) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.44/1.12 (160) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.44/1.12 (161) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.44/1.12 (162) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.44/1.12 (163) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.44/1.12 }.
% 0.44/1.12 (164) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.44/1.12 }.
% 0.44/1.12 (165) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.44/1.12 }.
% 0.44/1.12 (166) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.44/1.12 , Z = sdtmndt0( Y, X ) }.
% 0.44/1.12 (167) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.44/1.12 (168) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.44/1.12 (169) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.44/1.12 sdtlseqdt0( X, Z ) }.
% 0.44/1.12 (170) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.44/1.12 (171) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.44/1.12 (172) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 0.44/1.12 ) }.
% 0.44/1.12 (173) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.44/1.12 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.44/1.12 (174) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.44/1.12 sdtpldt0( Z, Y ) }.
% 0.44/1.12 (175) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.44/1.12 , X ), sdtpldt0( Z, Y ) ) }.
% 0.44/1.12 (176) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.44/1.12 sdtpldt0( Y, Z ) }.
% 0.44/1.12 (177) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.44/1.12 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.44/1.12 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 0.44/1.12 (178) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6
% 0.44/1.12 ( X, Y, Z ) }.
% 0.44/1.12 (179) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.44/1.12 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.44/1.12 (180) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.44/1.12 sdtasdt0( X, Z ) }.
% 0.44/1.12 (181) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.44/1.12 , Y ), sdtasdt0( X, Z ) ) }.
% 0.44/1.12 (182) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.44/1.12 sdtasdt0( Z, X ) }.
% 0.44/1.12 (183) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.44/1.12 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.44/1.12 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 0.44/1.12 (184) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.44/1.12 sz10 = X }.
% 0.44/1.12 (185) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.44/1.12 sdtlseqdt0( sz10, X ) }.
% 0.44/1.12 (186) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.44/1.12 (187) {G0,W1,D1,L1,V0,M1} { && }.
% 0.44/1.12 (188) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.44/1.12 (189) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.44/1.12 (190) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.44/1.12 (191) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.44/1.12 }.
% 0.44/1.12 (192) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.44/1.12 aNaturalNumber0( Z ) }.
% 0.44/1.12 (193) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.44/1.12 ( X, Z ) }.
% 0.44/1.12 (194) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.44/1.12 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.44/1.12 (195) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.44/1.12 doDivides0( X, Z ) }.
% 0.44/1.12 (196) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.44/1.12 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.44/1.12 (197) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 0.44/1.12 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 0.44/1.12 (198) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 0.44/1.12 (199) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z,
% 0.44/1.12 sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 0.44/1.12 (200) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 0.44/1.12 sz00 }.
% 0.44/1.12 (201) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 0.44/1.12 alpha1( X ) }.
% 0.44/1.12 (202) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X
% 0.44/1.12 ), isPrime0( X ) }.
% 0.44/1.12 (203) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 0.44/1.12 (204) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.44/1.12 (205) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.44/1.12 (206) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y
% 0.44/1.12 ) }.
% 0.44/1.12 (207) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.44/1.12 (208) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.44/1.12 (209) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.44/1.12 (210) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 0.44/1.12 (211) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 0.44/1.12 (212) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.44/1.12 (213) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.12 (214) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ),
% 0.44/1.12 alpha3( X, Y ) }.
% 0.44/1.12 (215) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.44/1.12 aNaturalNumber0( skol4( Y ) ) }.
% 0.44/1.12 (216) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.44/1.12 isPrime0( skol4( Y ) ) }.
% 0.44/1.12 (217) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.44/1.12 doDivides0( skol4( X ), X ) }.
% 0.44/1.12 (218) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.44/1.12 (219) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.44/1.12 (220) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 0.44/1.12 (221) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 0.44/1.12 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 0.44/1.12 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z ), alpha10( Y,
% 0.44/1.12 Z ) }.
% 0.44/1.12 (222) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 0.44/1.12 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 0.44/1.12 xm ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.44/1.12 (223) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z,
% 0.44/1.12 T ) ) }.
% 0.44/1.12 (224) {G0,W10,D4,L2,V2,M2} { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X
% 0.44/1.12 , Y ) ) }.
% 0.44/1.12 (225) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.12 (226) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.44/1.12 ), ! doDivides0( Y, X ), alpha10( X, Y ) }.
% 0.44/1.12 (227) {G0,W7,D3,L2,V4,M2} { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T
% 0.44/1.12 ) ) }.
% 0.44/1.12 (228) {G0,W10,D4,L2,V2,M2} { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X,
% 0.44/1.12 Y ) ) }.
% 0.44/1.12 (229) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.12 (230) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.44/1.12 ), ! doDivides0( Y, X ), alpha8( X, Y ) }.
% 0.44/1.12 (231) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha9( X ) }.
% 0.44/1.12 (232) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 0.44/1.12 (233) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.44/1.12 (234) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.44/1.12 (235) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha9( X ) }.
% 0.44/1.12 (236) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha9( X ) }.
% 0.44/1.12 (237) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.44/1.12 (238) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), ! skol7( X ) = X }.
% 0.44/1.12 (239) {G0,W8,D2,L3,V2,M3} { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.44/1.12 (240) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.44/1.12 (241) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.44/1.12 (242) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y )
% 0.44/1.12 }.
% 0.44/1.12 (243) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.44/1.12 (244) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.44/1.12 (245) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! doDivides0( Y, X ),
% 0.44/1.12 alpha14( X, Y ) }.
% 0.44/1.12 (246) {G0,W5,D2,L2,V2,M2} { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.44/1.12 (247) {G0,W7,D3,L2,V4,M2} { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z,
% 0.44/1.12 T ) ) }.
% 0.44/1.12 (248) {G0,W10,D4,L2,V2,M2} { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X
% 0.44/1.12 , Y ) ) }.
% 0.44/1.12 (249) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z
% 0.44/1.12 ), ! X = sdtasdt0( Y, Z ), alpha15( X, Y ) }.
% 0.44/1.12 (250) {G0,W8,D2,L3,V1,M3} { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.44/1.12 (251) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha11( X ) }.
% 0.44/1.12 (252) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha11( X ) }.
% 0.44/1.12 (253) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 0.44/1.12 (254) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 0.44/1.12 (255) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.44/1.12 ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 0.44/1.12 (256) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp )
% 0.44/1.12 , X = sz10, X = xp }.
% 0.44/1.12 (257) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 0.44/1.12 (258) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 0.44/1.12 (259) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.44/1.12 (260) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.44/1.12 (261) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 0.44/1.12 (262) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, skol10 ) = xn }.
% 0.44/1.12 (263) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xn ) }.
% 0.44/1.12 (264) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 0.44/1.12 (265) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, xr ) = xn }.
% 0.44/1.12 (266) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xn, xp ) }.
% 0.44/1.12 (267) {G0,W3,D2,L1,V0,M1} { ! xr = xn }.
% 0.44/1.12 (268) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 0.44/1.12 (269) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xr, skol11 ) = xn }.
% 0.44/1.12 (270) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xn ) }.
% 0.44/1.12 (271) {G0,W5,D3,L1,V0,M1} { ! xn = sdtpldt0( xp, xr ) }.
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Total Proof:
% 0.44/1.12
% 0.44/1.12 *** allocated 22500 integers for clauses
% 0.44/1.12 *** allocated 15000 integers for termspace/termends
% 0.44/1.12 *** allocated 22500 integers for termspace/termends
% 0.44/1.12 subsumption: (128) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xp, xr ) ==> xn }.
% 0.44/1.12 parent0: (265) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, xr ) = xn }.
% 0.44/1.12 substitution0:
% 0.44/1.12 end
% 0.44/1.12 permutation0:
% 0.44/1.12 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 *** allocated 33750 integers for clauses
% 0.44/1.13 *** allocated 33750 integers for termspace/termends
% 0.44/1.13 *** allocated 50625 integers for clauses
% 0.44/1.13 paramod: (1402) {G1,W3,D2,L1,V0,M1} { ! xn = xn }.
% 0.44/1.13 parent0[0]: (128) {G0,W5,D3,L1,V0,M1} I { sdtpldt0( xp, xr ) ==> xn }.
% 0.44/1.13 parent1[0; 3]: (271) {G0,W5,D3,L1,V0,M1} { ! xn = sdtpldt0( xp, xr ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 eqrefl: (1403) {G0,W0,D0,L0,V0,M0} { }.
% 0.44/1.13 parent0[0]: (1402) {G1,W3,D2,L1,V0,M1} { ! xn = xn }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (134) {G1,W0,D0,L0,V0,M0} I;d(128);q { }.
% 0.44/1.13 parent0: (1403) {G0,W0,D0,L0,V0,M0} { }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 Proof check complete!
% 0.44/1.13
% 0.44/1.13 Memory use:
% 0.44/1.13
% 0.44/1.13 space for terms: 4898
% 0.44/1.13 space for clauses: 7292
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses generated: 136
% 0.44/1.13 clauses kept: 135
% 0.44/1.13 clauses selected: 0
% 0.44/1.13 clauses deleted: 0
% 0.44/1.13 clauses inuse deleted: 0
% 0.44/1.13
% 0.44/1.13 subsentry: 7247
% 0.44/1.13 literals s-matched: 2891
% 0.44/1.13 literals matched: 1985
% 0.44/1.13 full subsumption: 874
% 0.44/1.13
% 0.44/1.13 checksum: 1125775293
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Bliksem ended
%------------------------------------------------------------------------------