TSTP Solution File: NUM519+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 06:23:09 EDT 2022
% Result : Theorem 0.65s 1.08s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jul 6 08:30:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.65/1.07 *** allocated 10000 integers for termspace/termends
% 0.65/1.07 *** allocated 10000 integers for clauses
% 0.65/1.07 *** allocated 10000 integers for justifications
% 0.65/1.07 Bliksem 1.12
% 0.65/1.07
% 0.65/1.07
% 0.65/1.07 Automatic Strategy Selection
% 0.65/1.07
% 0.65/1.07
% 0.65/1.07 Clauses:
% 0.65/1.07
% 0.65/1.07 { && }.
% 0.65/1.07 { aNaturalNumber0( sz00 ) }.
% 0.65/1.07 { aNaturalNumber0( sz10 ) }.
% 0.65/1.07 { ! sz10 = sz00 }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.65/1.07 ( X, Y ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.65/1.07 ( X, Y ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.65/1.07 sdtpldt0( Y, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.65/1.07 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.65/1.07 sdtasdt0( Y, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.65/1.07 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.65/1.07 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.65/1.07 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.65/1.07 , Z ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.65/1.07 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.65/1.07 , X ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.65/1.07 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.65/1.07 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.65/1.07 , X = sz00 }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.65/1.07 , Y = sz00 }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.65/1.07 , X = sz00, Y = sz00 }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.65/1.07 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.65/1.07 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.65/1.07 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.65/1.07 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.65/1.07 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.65/1.07 sdtlseqdt0( Y, X ), X = Y }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.65/1.07 X }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.65/1.07 sdtlseqdt0( Y, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.65/1.07 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.65/1.07 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.65/1.07 ) ) }.
% 0.65/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.65/1.07 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.65/1.07 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.65/1.07 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.65/1.07 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.65/1.07 ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.65/1.07 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.65/1.07 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.65/1.07 sdtasdt0( Z, X ) ) }.
% 0.65/1.07 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.65/1.07 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.65/1.07 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.65/1.07 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.65/1.07 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.65/1.07 ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.65/1.07 sdtasdt0( Y, X ) ) }.
% 0.65/1.07 { && }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.65/1.07 ), iLess0( X, Y ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.65/1.07 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.65/1.07 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.65/1.07 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.65/1.07 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.65/1.07 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.65/1.07 ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.65/1.07 ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.65/1.07 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.65/1.07 Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.65/1.07 sz00, sdtlseqdt0( X, Y ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.65/1.07 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.65/1.07 ( sdtasdt0( Z, Y ), X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.65/1.07 { ! alpha1( X ), ! X = sz10 }.
% 0.65/1.07 { ! alpha1( X ), alpha2( X ) }.
% 0.65/1.07 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.65/1.07 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.65/1.07 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.65/1.07 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.65/1.07 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.65/1.07 { ! Y = sz10, alpha4( X, Y ) }.
% 0.65/1.07 { ! Y = X, alpha4( X, Y ) }.
% 0.65/1.07 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.65/1.07 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.07 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.65/1.07 }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.65/1.07 .
% 0.65/1.07 { aNaturalNumber0( xn ) }.
% 0.65/1.07 { aNaturalNumber0( xm ) }.
% 0.65/1.07 { aNaturalNumber0( xp ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.65/1.07 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.65/1.07 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.65/1.07 ), xp ) ), alpha9( X, Z ), alpha11( Y, Z ) }.
% 0.65/1.07 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.65/1.07 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.65/1.08 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z
% 0.65/1.08 ), alpha11( Y, Z ) }.
% 0.65/1.08 { ! alpha11( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.65/1.08 { ! alpha11( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.65/1.08 { ! alpha11( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.08 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.65/1.08 alpha11( X, Y ) }.
% 0.65/1.08 { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.65/1.08 { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.65/1.08 { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.08 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.65/1.08 alpha9( X, Y ) }.
% 0.65/1.08 { ! alpha7( X ), alpha10( X ) }.
% 0.65/1.08 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.65/1.08 { ! alpha10( X ), isPrime0( X ), alpha7( X ) }.
% 0.65/1.08 { ! alpha10( X ), alpha12( X ), alpha13( X ) }.
% 0.65/1.08 { ! alpha12( X ), alpha10( X ) }.
% 0.65/1.08 { ! alpha13( X ), alpha10( X ) }.
% 0.65/1.08 { ! alpha13( X ), alpha14( X, skol7( X ) ) }.
% 0.65/1.08 { ! alpha13( X ), ! skol7( X ) = X }.
% 0.65/1.08 { ! alpha14( X, Y ), Y = X, alpha13( X ) }.
% 0.65/1.08 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.65/1.08 { ! alpha14( X, Y ), ! Y = sz10 }.
% 0.65/1.08 { ! alpha15( X, Y ), Y = sz10, alpha14( X, Y ) }.
% 0.65/1.08 { ! alpha15( X, Y ), alpha16( X, Y ) }.
% 0.65/1.08 { ! alpha15( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.08 { ! alpha16( X, Y ), ! doDivides0( Y, X ), alpha15( X, Y ) }.
% 0.65/1.08 { ! alpha16( X, Y ), aNaturalNumber0( Y ) }.
% 0.65/1.08 { ! alpha16( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.65/1.08 { ! alpha16( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.65/1.08 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.65/1.08 alpha16( X, Y ) }.
% 0.65/1.08 { ! alpha12( X ), X = sz00, X = sz10 }.
% 0.65/1.08 { ! X = sz00, alpha12( X ) }.
% 0.65/1.08 { ! X = sz10, alpha12( X ) }.
% 0.65/1.08 { ! xp = sz00 }.
% 0.65/1.08 { ! xp = sz10 }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.65/1.08 X = sz10, X = xp }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.65/1.08 { isPrime0( xp ) }.
% 0.65/1.08 { aNaturalNumber0( skol9 ) }.
% 0.65/1.08 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.65/1.08 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 0.65/1.08 { ! sdtlseqdt0( xp, xn ) }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 0.65/1.08 { ! sdtlseqdt0( xp, xm ) }.
% 0.65/1.08 { ! xn = xp }.
% 0.65/1.08 { aNaturalNumber0( skol10 ) }.
% 0.65/1.08 { sdtpldt0( xn, skol10 ) = xp }.
% 0.65/1.08 { sdtlseqdt0( xn, xp ) }.
% 0.65/1.08 { ! xm = xp }.
% 0.65/1.08 { aNaturalNumber0( skol16 ) }.
% 0.65/1.08 { sdtpldt0( xm, skol16 ) = xp }.
% 0.65/1.08 { sdtlseqdt0( xm, xp ) }.
% 0.65/1.08 { aNaturalNumber0( xk ) }.
% 0.65/1.08 { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 0.65/1.08 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 0.65/1.08 { ! xk = sz00 }.
% 0.65/1.08 { ! xk = sz10 }.
% 0.65/1.08 { ! xk = sz00 }.
% 0.65/1.08 { ! xk = sz10 }.
% 0.65/1.08 { aNaturalNumber0( xr ) }.
% 0.65/1.08 { aNaturalNumber0( skol11 ) }.
% 0.65/1.08 { xk = sdtasdt0( xr, skol11 ) }.
% 0.65/1.08 { doDivides0( xr, xk ) }.
% 0.65/1.08 { ! xr = sz00 }.
% 0.65/1.08 { ! xr = sz10 }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xr = sdtasdt0( X, Y ),
% 0.65/1.08 X = sz10, X = xr }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! doDivides0( X, xr ), X = sz10, X = xr }.
% 0.65/1.08 { isPrime0( xr ) }.
% 0.65/1.08 { aNaturalNumber0( skol12 ) }.
% 0.65/1.08 { sdtpldt0( xr, skol12 ) = xk }.
% 0.65/1.08 { aNaturalNumber0( skol17 ) }.
% 0.65/1.08 { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol17 ) }.
% 0.65/1.08 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 0.65/1.08 { ! xk = xp }.
% 0.65/1.08 { aNaturalNumber0( skol13 ) }.
% 0.65/1.08 { sdtpldt0( xk, skol13 ) = xp }.
% 0.65/1.08 { sdtlseqdt0( xk, xp ) }.
% 0.65/1.08 { alpha8, aNaturalNumber0( skol14 ) }.
% 0.65/1.08 { alpha8, xm = sdtasdt0( xr, skol14 ) }.
% 0.65/1.08 { alpha8, doDivides0( xr, xm ) }.
% 0.65/1.08 { ! alpha8, aNaturalNumber0( skol15 ) }.
% 0.65/1.08 { ! alpha8, xn = sdtasdt0( xr, skol15 ) }.
% 0.65/1.08 { ! alpha8, doDivides0( xr, xn ) }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xr, X ), ! doDivides0( xr, xn )
% 0.65/1.08 , alpha8 }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xr, X ) }.
% 0.65/1.08 { ! doDivides0( xr, xn ) }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xr, X ) }.
% 0.65/1.08 { ! doDivides0( xr, xm ) }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xp, X ) }.
% 0.65/1.08 { ! doDivides0( xp, xn ) }.
% 0.65/1.08 { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xp, X ) }.
% 0.65/1.08 { ! doDivides0( xp, xm ) }.
% 0.65/1.08
% 0.65/1.08 percentage equality = 0.288382, percentage horn = 0.770115
% 0.65/1.08 This is a problem with some equality
% 0.65/1.08
% 0.65/1.08
% 0.65/1.08
% 0.65/1.08 Options Used:
% 0.65/1.08
% 0.65/1.08 useres = 1
% 0.65/1.08 useparamod = 1
% 0.65/1.08 useeqrefl = 1
% 0.65/1.08 useeqfact = 1
% 0.65/1.08 usefactor = 1
% 0.65/1.08 usesimpsplitting = 0
% 0.65/1.08 usesimpdemod = 5
% 0.65/1.08 usesimpres = 3
% 0.65/1.08
% 0.65/1.08 resimpinuse = 1000
% 0.65/1.08 resimpclauses = 20000
% 0.65/1.08 substype = eqrewr
% 0.65/1.08 backwardsubs = 1
% 0.65/1.08 selectoldest = 5
% 0.65/1.08
% 0.65/1.08 litorderings [0] = split
% 0.65/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.65/1.08
% 0.65/1.08 termordering = kbo
% 0.65/1.08
% 0.65/1.08 litapriori = 0
% 0.65/1.08 termapriori = 1
% 0.65/1.08 litaposteriori = 0
% 0.65/1.08 termaposteriori = 0
% 0.65/1.08 demodaposteriori = 0
% 0.65/1.08 ordereqreflfact = 0
% 0.65/1.08
% 0.65/1.08 litselect = negord
% 0.65/1.08
% 0.65/1.08 maxweight = 15
% 0.65/1.08 maxdepth = 30000
% 0.65/1.08 maxlength = 115
% 0.65/1.08 maxnrvars = 195
% 0.65/1.08 excuselevel = 1
% 0.65/1.08 increasemaxweight = 1
% 0.65/1.08
% 0.65/1.08 maxselected = 10000000
% 0.65/1.08 maxnrclauses = 10000000
% 0.65/1.08
% 0.65/1.08 showgenerated = 0
% 0.65/1.08 showkept = 0
% 0.65/1.08 showselected = 0
% 0.65/1.08 showdeleted = 0
% 0.65/1.08 showresimp = 1
% 0.65/1.08 showstatus = 2000
% 0.65/1.08
% 0.65/1.08 prologoutput = 0
% 0.65/1.08 nrgoals = 5000000
% 0.65/1.08 totalproof = 1
% 0.65/1.08
% 0.65/1.08 Symbols occurring in the translation:
% 0.65/1.08
% 0.65/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.65/1.08 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.65/1.08 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.65/1.08 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.65/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.08 aNaturalNumber0 [36, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.65/1.08 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.65/1.08 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.65/1.08 sdtpldt0 [40, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.65/1.08 sdtasdt0 [41, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.65/1.08 sdtlseqdt0 [43, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.65/1.08 sdtmndt0 [44, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.65/1.08 iLess0 [45, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.65/1.08 doDivides0 [46, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.65/1.08 sdtsldt0 [47, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.65/1.08 isPrime0 [48, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.65/1.08 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.65/1.08 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.65/1.08 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.65/1.08 xk [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.65/1.08 xr [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.65/1.08 alpha1 [56, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.65/1.08 alpha2 [57, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.65/1.08 alpha3 [58, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.65/1.08 alpha4 [59, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.65/1.08 alpha5 [60, 3] (w:1, o:87, a:1, s:1, b:1),
% 0.65/1.08 alpha6 [61, 3] (w:1, o:88, a:1, s:1, b:1),
% 0.65/1.08 alpha7 [62, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.65/1.08 alpha8 [63, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.65/1.08 alpha9 [64, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.65/1.08 alpha10 [65, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.65/1.08 alpha11 [66, 2] (w:1, o:78, a:1, s:1, b:1),
% 0.65/1.08 alpha12 [67, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.65/1.08 alpha13 [68, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.65/1.08 alpha14 [69, 2] (w:1, o:79, a:1, s:1, b:1),
% 0.65/1.08 alpha15 [70, 2] (w:1, o:80, a:1, s:1, b:1),
% 0.65/1.08 alpha16 [71, 2] (w:1, o:81, a:1, s:1, b:1),
% 0.65/1.08 skol1 [72, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.65/1.08 skol2 [73, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.65/1.08 skol3 [74, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.65/1.08 skol4 [75, 1] (w:1, o:42, a:1, s:1, b:1),
% 0.65/1.08 skol5 [76, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.65/1.08 skol6 [77, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.65/1.08 skol7 [78, 1] (w:1, o:43, a:1, s:1, b:1),
% 0.65/1.08 skol8 [79, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.65/1.08 skol9 [80, 0] (w:1, o:19, a:1, s:1, b:1),
% 0.65/1.08 skol10 [81, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.65/1.08 skol11 [82, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.65/1.08 skol12 [83, 0] (w:1, o:22, a:1, s:1, b:1),
% 0.65/1.08 skol13 [84, 0] (w:1, o:23, a:1, s:1, b:1),
% 0.65/1.08 skol14 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 0.65/1.08 skol15 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 0.65/1.08 skol16 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 0.65/1.08 skol17 [88, 0] (w:1, o:27, a:1, s:1, b:1).
% 0.65/1.08
% 0.65/1.08
% 0.65/1.08 Starting Search:
% 0.65/1.08
% 0.65/1.08 *** allocated 15000 integers for clauses
% 0.65/1.08 *** allocated 22500 integers for clauses
% 0.65/1.08 *** allocated 33750 integers for clauses
% 0.65/1.08 *** allocated 15000 integers for termspace/termends
% 0.65/1.08 *** allocated 50625 integers for clauses
% 0.65/1.08 *** allocated 75937 integers for clauses
% 0.65/1.08
% 0.65/1.08 Bliksems!, er is een bewijs:
% 0.65/1.08 % SZS status Theorem
% 0.65/1.08 % SZS output start Refutation
% 0.65/1.08
% 0.65/1.08 (161) {G0,W4,D2,L2,V0,M2} I { alpha8, doDivides0( xr, xm ) }.
% 0.65/1.08 (164) {G0,W4,D2,L2,V0,M2} I { ! alpha8, doDivides0( xr, xn ) }.
% 0.65/1.08 (167) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xn ) }.
% 0.65/1.08 (169) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xm ) }.
% 0.65/1.08 (754) {G1,W1,D1,L1,V0,M1} S(164);r(167) { ! alpha8 }.
% 0.65/1.08 (795) {G2,W0,D0,L0,V0,M0} S(161);r(754);r(169) { }.
% 0.65/1.08
% 0.65/1.08
% 0.65/1.08 % SZS output end Refutation
% 0.65/1.08 found a proof!
% 0.65/1.08
% 0.65/1.08 *** allocated 22500 integers for termspace/termends
% 0.65/1.08
% 0.65/1.08 Unprocessed initial clauses:
% 0.65/1.08
% 0.65/1.08 (797) {G0,W1,D1,L1,V0,M1} { && }.
% 0.65/1.08 (798) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.65/1.08 (799) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.65/1.08 (800) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.65/1.08 (801) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.65/1.08 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.65/1.08 (802) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.65/1.08 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.65/1.08 (803) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.65/1.08 (804) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.65/1.08 , sdtpldt0( Y, Z ) ) }.
% 0.65/1.08 (805) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.65/1.08 X }.
% 0.65/1.08 (806) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.65/1.08 ) }.
% 0.65/1.08 (807) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.65/1.08 (808) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.65/1.08 , sdtasdt0( Y, Z ) ) }.
% 0.65/1.08 (809) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.65/1.08 X }.
% 0.65/1.08 (810) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.65/1.08 ) }.
% 0.65/1.08 (811) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.65/1.08 sz00 }.
% 0.65/1.08 (812) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.65/1.08 , X ) }.
% 0.65/1.08 (813) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.65/1.08 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.65/1.08 (814) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.65/1.08 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.65/1.08 (815) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.65/1.08 }.
% 0.65/1.08 (816) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.65/1.08 }.
% 0.65/1.08 (817) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.65/1.08 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.65/1.08 sdtasdt0( X, Z ), Y = Z }.
% 0.65/1.08 (818) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.65/1.08 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.65/1.08 sdtasdt0( Z, X ), Y = Z }.
% 0.65/1.08 (819) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.65/1.08 (820) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.65/1.08 (821) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.65/1.08 (822) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.65/1.08 (823) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.65/1.08 (824) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.65/1.08 }.
% 0.65/1.08 (825) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.65/1.08 }.
% 0.65/1.08 (826) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.65/1.08 }.
% 0.65/1.08 (827) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.65/1.08 , Z = sdtmndt0( Y, X ) }.
% 0.65/1.08 (828) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.65/1.08 (829) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.65/1.08 (830) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.65/1.08 sdtlseqdt0( X, Z ) }.
% 0.65/1.08 (831) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.65/1.08 (832) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.65/1.08 (833) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 0.65/1.08 ) }.
% 0.65/1.08 (834) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.65/1.08 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.65/1.08 (835) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.65/1.08 sdtpldt0( Z, Y ) }.
% 0.65/1.08 (836) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.65/1.08 , X ), sdtpldt0( Z, Y ) ) }.
% 0.65/1.08 (837) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.65/1.08 sdtpldt0( Y, Z ) }.
% 0.65/1.08 (838) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.65/1.08 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.65/1.08 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 0.65/1.08 (839) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6
% 0.65/1.08 ( X, Y, Z ) }.
% 0.65/1.08 (840) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.65/1.08 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.65/1.08 (841) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.65/1.08 sdtasdt0( X, Z ) }.
% 0.65/1.08 (842) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.65/1.08 , Y ), sdtasdt0( X, Z ) ) }.
% 0.65/1.08 (843) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.65/1.08 sdtasdt0( Z, X ) }.
% 0.65/1.08 (844) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.65/1.08 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.65/1.08 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 0.65/1.08 (845) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.65/1.08 sz10 = X }.
% 0.65/1.08 (846) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.65/1.08 sdtlseqdt0( sz10, X ) }.
% 0.65/1.08 (847) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.65/1.08 (848) {G0,W1,D1,L1,V0,M1} { && }.
% 0.65/1.08 (849) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.65/1.08 (850) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.65/1.08 (851) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.65/1.08 (852) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.65/1.08 }.
% 0.65/1.08 (853) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.65/1.08 aNaturalNumber0( Z ) }.
% 0.65/1.08 (854) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.65/1.08 ( X, Z ) }.
% 0.65/1.08 (855) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.65/1.08 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.65/1.08 (856) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.65/1.08 doDivides0( X, Z ) }.
% 0.65/1.08 (857) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.65/1.08 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.65/1.08 (858) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 0.65/1.08 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 0.65/1.08 (859) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 0.65/1.08 (860) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z,
% 0.65/1.08 sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 0.65/1.08 (861) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 0.65/1.08 sz00 }.
% 0.65/1.08 (862) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 0.65/1.08 alpha1( X ) }.
% 0.65/1.08 (863) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X
% 0.65/1.08 ), isPrime0( X ) }.
% 0.65/1.08 (864) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 0.65/1.08 (865) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.65/1.08 (866) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.65/1.08 (867) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y
% 0.65/1.08 ) }.
% 0.65/1.08 (868) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.65/1.08 (869) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.65/1.08 (870) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.65/1.08 (871) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 0.65/1.08 (872) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 0.65/1.08 (873) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.65/1.08 (874) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.08 (875) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ),
% 0.65/1.08 alpha3( X, Y ) }.
% 0.65/1.08 (876) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.65/1.08 aNaturalNumber0( skol4( Y ) ) }.
% 0.65/1.08 (877) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.65/1.08 isPrime0( skol4( Y ) ) }.
% 0.65/1.08 (878) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.65/1.08 doDivides0( skol4( X ), X ) }.
% 0.65/1.08 (879) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.65/1.08 (880) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.65/1.08 (881) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 0.65/1.08 (882) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 0.65/1.08 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 0.65/1.08 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z ), alpha11( Y,
% 0.65/1.08 Z ) }.
% 0.65/1.08 (883) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 0.65/1.08 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 0.65/1.08 xm ), xp ) ), alpha9( X, Z ), alpha11( Y, Z ) }.
% 0.65/1.08 (884) {G0,W7,D3,L2,V4,M2} { ! alpha11( X, Y ), aNaturalNumber0( skol5( Z,
% 0.65/1.08 T ) ) }.
% 0.65/1.08 (885) {G0,W10,D4,L2,V2,M2} { ! alpha11( X, Y ), X = sdtasdt0( Y, skol5( X
% 0.65/1.08 , Y ) ) }.
% 0.65/1.08 (886) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.08 (887) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.65/1.08 ), ! doDivides0( Y, X ), alpha11( X, Y ) }.
% 0.65/1.08 (888) {G0,W7,D3,L2,V4,M2} { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z, T
% 0.65/1.08 ) ) }.
% 0.65/1.08 (889) {G0,W10,D4,L2,V2,M2} { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X,
% 0.65/1.08 Y ) ) }.
% 0.65/1.08 (890) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.08 (891) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.65/1.08 ), ! doDivides0( Y, X ), alpha9( X, Y ) }.
% 0.65/1.08 (892) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha10( X ) }.
% 0.65/1.08 (893) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 0.65/1.08 (894) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), isPrime0( X ), alpha7( X ) }.
% 0.65/1.08 (895) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), alpha12( X ), alpha13( X ) }.
% 0.65/1.08 (896) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha10( X ) }.
% 0.65/1.08 (897) {G0,W4,D2,L2,V1,M2} { ! alpha13( X ), alpha10( X ) }.
% 0.65/1.08 (898) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), alpha14( X, skol7( X ) ) }.
% 0.65/1.08 (899) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), ! skol7( X ) = X }.
% 0.65/1.08 (900) {G0,W8,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = X, alpha13( X ) }.
% 0.65/1.08 (901) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.65/1.08 (902) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), ! Y = sz10 }.
% 0.65/1.08 (903) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), Y = sz10, alpha14( X, Y )
% 0.65/1.08 }.
% 0.65/1.08 (904) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha16( X, Y ) }.
% 0.65/1.08 (905) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), doDivides0( Y, X ) }.
% 0.65/1.08 (906) {G0,W9,D2,L3,V2,M3} { ! alpha16( X, Y ), ! doDivides0( Y, X ),
% 0.65/1.08 alpha15( X, Y ) }.
% 0.65/1.08 (907) {G0,W5,D2,L2,V2,M2} { ! alpha16( X, Y ), aNaturalNumber0( Y ) }.
% 0.65/1.08 (908) {G0,W7,D3,L2,V4,M2} { ! alpha16( X, Y ), aNaturalNumber0( skol8( Z,
% 0.65/1.08 T ) ) }.
% 0.65/1.08 (909) {G0,W10,D4,L2,V2,M2} { ! alpha16( X, Y ), X = sdtasdt0( Y, skol8( X
% 0.65/1.08 , Y ) ) }.
% 0.65/1.08 (910) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z
% 0.65/1.08 ), ! X = sdtasdt0( Y, Z ), alpha16( X, Y ) }.
% 0.65/1.08 (911) {G0,W8,D2,L3,V1,M3} { ! alpha12( X ), X = sz00, X = sz10 }.
% 0.65/1.08 (912) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha12( X ) }.
% 0.65/1.08 (913) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha12( X ) }.
% 0.65/1.08 (914) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 0.65/1.08 (915) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 0.65/1.08 (916) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 0.65/1.08 (917) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp )
% 0.65/1.08 , X = sz10, X = xp }.
% 0.65/1.08 (918) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 0.65/1.08 (919) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 0.65/1.08 (920) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.65/1.08 (921) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.65/1.08 (922) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) =
% 0.65/1.08 xn }.
% 0.65/1.08 (923) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 0.65/1.08 (924) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) =
% 0.65/1.08 xm }.
% 0.65/1.08 (925) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 0.65/1.08 (926) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 0.65/1.08 (927) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 0.65/1.08 (928) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol10 ) = xp }.
% 0.65/1.08 (929) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 0.65/1.08 (930) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 0.65/1.08 (931) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol16 ) }.
% 0.65/1.08 (932) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol16 ) = xp }.
% 0.65/1.08 (933) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 0.65/1.08 (934) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 0.65/1.08 (935) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 0.65/1.08 (936) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 0.65/1.08 (937) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 0.65/1.08 (938) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 0.65/1.08 (939) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 0.65/1.08 (940) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 0.65/1.08 (941) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 0.65/1.08 (942) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 0.65/1.08 (943) {G0,W5,D3,L1,V0,M1} { xk = sdtasdt0( xr, skol11 ) }.
% 0.65/1.08 (944) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 0.65/1.08 (945) {G0,W3,D2,L1,V0,M1} { ! xr = sz00 }.
% 0.65/1.08 (946) {G0,W3,D2,L1,V0,M1} { ! xr = sz10 }.
% 0.65/1.08 (947) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.65/1.08 ), ! xr = sdtasdt0( X, Y ), X = sz10, X = xr }.
% 0.65/1.08 (948) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xr )
% 0.65/1.08 , X = sz10, X = xr }.
% 0.65/1.08 (949) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 0.65/1.08 (950) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol12 ) }.
% 0.65/1.08 (951) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xr, skol12 ) = xk }.
% 0.65/1.08 (952) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol17 ) }.
% 0.65/1.08 (953) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol17 )
% 0.65/1.08 }.
% 0.65/1.08 (954) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 0.65/1.08 (955) {G0,W3,D2,L1,V0,M1} { ! xk = xp }.
% 0.65/1.08 (956) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol13 ) }.
% 0.65/1.08 (957) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xk, skol13 ) = xp }.
% 0.65/1.08 (958) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xk, xp ) }.
% 0.65/1.08 (959) {G0,W3,D2,L2,V0,M2} { alpha8, aNaturalNumber0( skol14 ) }.
% 0.65/1.08 (960) {G0,W6,D3,L2,V0,M2} { alpha8, xm = sdtasdt0( xr, skol14 ) }.
% 0.65/1.08 (961) {G0,W4,D2,L2,V0,M2} { alpha8, doDivides0( xr, xm ) }.
% 0.65/1.08 (962) {G0,W3,D2,L2,V0,M2} { ! alpha8, aNaturalNumber0( skol15 ) }.
% 0.65/1.08 (963) {G0,W6,D3,L2,V0,M2} { ! alpha8, xn = sdtasdt0( xr, skol15 ) }.
% 0.65/1.08 (964) {G0,W4,D2,L2,V0,M2} { ! alpha8, doDivides0( xr, xn ) }.
% 0.70/1.10 (965) {G0,W11,D3,L4,V1,M4} { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xr,
% 0.70/1.10 X ), ! doDivides0( xr, xn ), alpha8 }.
% 0.70/1.10 (966) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xr, X
% 0.70/1.10 ) }.
% 0.70/1.10 (967) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xn ) }.
% 0.70/1.10 (968) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xr, X
% 0.70/1.10 ) }.
% 0.70/1.10 (969) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xm ) }.
% 0.70/1.10 (970) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xp, X
% 0.70/1.10 ) }.
% 0.70/1.10 (971) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xn ) }.
% 0.70/1.10 (972) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xp, X
% 0.70/1.10 ) }.
% 0.70/1.10 (973) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xm ) }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Total Proof:
% 0.70/1.10
% 0.70/1.10 *** allocated 33750 integers for termspace/termends
% 0.70/1.10 subsumption: (161) {G0,W4,D2,L2,V0,M2} I { alpha8, doDivides0( xr, xm ) }.
% 0.70/1.10 parent0: (961) {G0,W4,D2,L2,V0,M2} { alpha8, doDivides0( xr, xm ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 *** allocated 113905 integers for clauses
% 0.70/1.10 *** allocated 50625 integers for termspace/termends
% 0.70/1.10 subsumption: (164) {G0,W4,D2,L2,V0,M2} I { ! alpha8, doDivides0( xr, xn )
% 0.70/1.10 }.
% 0.70/1.10 parent0: (964) {G0,W4,D2,L2,V0,M2} { ! alpha8, doDivides0( xr, xn ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 1 ==> 1
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (167) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xn ) }.
% 0.70/1.10 parent0: (967) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xn ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 *** allocated 75937 integers for termspace/termends
% 0.70/1.10 subsumption: (169) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xm ) }.
% 0.70/1.10 parent0: (969) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xr, xm ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (3090) {G1,W1,D1,L1,V0,M1} { ! alpha8 }.
% 0.70/1.10 parent0[0]: (167) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xn ) }.
% 0.70/1.10 parent1[1]: (164) {G0,W4,D2,L2,V0,M2} I { ! alpha8, doDivides0( xr, xn )
% 0.70/1.10 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (754) {G1,W1,D1,L1,V0,M1} S(164);r(167) { ! alpha8 }.
% 0.70/1.10 parent0: (3090) {G1,W1,D1,L1,V0,M1} { ! alpha8 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (3091) {G1,W3,D2,L1,V0,M1} { doDivides0( xr, xm ) }.
% 0.70/1.10 parent0[0]: (754) {G1,W1,D1,L1,V0,M1} S(164);r(167) { ! alpha8 }.
% 0.70/1.10 parent1[0]: (161) {G0,W4,D2,L2,V0,M2} I { alpha8, doDivides0( xr, xm ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 resolution: (3092) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 parent0[0]: (169) {G0,W3,D2,L1,V0,M1} I { ! doDivides0( xr, xm ) }.
% 0.70/1.10 parent1[0]: (3091) {G1,W3,D2,L1,V0,M1} { doDivides0( xr, xm ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (795) {G2,W0,D0,L0,V0,M0} S(161);r(754);r(169) { }.
% 0.70/1.10 parent0: (3092) {G1,W0,D0,L0,V0,M0} { }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 Proof check complete!
% 0.70/1.10
% 0.70/1.10 Memory use:
% 0.70/1.10
% 0.70/1.10 space for terms: 13995
% 0.70/1.10 space for clauses: 53894
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 clauses generated: 1415
% 0.70/1.10 clauses kept: 796
% 0.70/1.10 clauses selected: 71
% 0.70/1.10 clauses deleted: 2
% 0.70/1.10 clauses inuse deleted: 0
% 0.70/1.10
% 0.70/1.10 subsentry: 18840
% 0.70/1.10 literals s-matched: 7433
% 0.70/1.10 literals matched: 5529
% 0.70/1.10 full subsumption: 2723
% 0.70/1.10
% 0.70/1.10 checksum: 586532654
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Bliksem ended
%------------------------------------------------------------------------------