TSTP Solution File: NUM491+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM491+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 06:22:51 EDT 2022
% Result : Theorem 0.75s 1.14s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM491+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 : Thu Jul 7 01:09:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.14 *** allocated 10000 integers for termspace/termends
% 0.75/1.14 *** allocated 10000 integers for clauses
% 0.75/1.14 *** allocated 10000 integers for justifications
% 0.75/1.14 Bliksem 1.12
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Automatic Strategy Selection
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Clauses:
% 0.75/1.14
% 0.75/1.14 { && }.
% 0.75/1.14 { aNaturalNumber0( sz00 ) }.
% 0.75/1.14 { aNaturalNumber0( sz10 ) }.
% 0.75/1.14 { ! sz10 = sz00 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.75/1.14 ( X, Y ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.75/1.14 ( X, Y ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.75/1.14 sdtpldt0( Y, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.14 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.75/1.14 sdtasdt0( Y, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.14 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.14 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.75/1.14 , Z ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.14 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.75/1.14 , X ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.75/1.14 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.75/1.14 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.75/1.14 , X = sz00 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.75/1.14 , Y = sz00 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.75/1.14 , X = sz00, Y = sz00 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.75/1.14 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.75/1.14 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.75/1.14 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.75/1.14 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.75/1.14 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.75/1.14 sdtlseqdt0( Y, X ), X = Y }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.75/1.14 X }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.75/1.14 sdtlseqdt0( Y, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.75/1.14 ) ) }.
% 0.75/1.14 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.75/1.14 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.75/1.14 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.75/1.14 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.75/1.14 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.75/1.14 ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.75/1.14 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.75/1.14 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.75/1.14 sdtasdt0( Z, X ) ) }.
% 0.75/1.14 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.75/1.14 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.75/1.14 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.75/1.14 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.75/1.14 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.75/1.14 ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.75/1.14 sdtasdt0( Y, X ) ) }.
% 0.75/1.14 { && }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.75/1.14 ), iLess0( X, Y ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.75/1.14 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.75/1.14 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.75/1.14 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.75/1.14 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.75/1.14 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.75/1.14 ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.75/1.14 ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.75/1.14 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.75/1.14 Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.75/1.14 sz00, sdtlseqdt0( X, Y ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.75/1.14 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.75/1.14 ( sdtasdt0( Z, Y ), X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.75/1.14 { ! alpha1( X ), ! X = sz10 }.
% 0.75/1.14 { ! alpha1( X ), alpha2( X ) }.
% 0.75/1.14 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.75/1.14 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.75/1.14 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.75/1.14 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.75/1.14 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.75/1.14 { ! Y = sz10, alpha4( X, Y ) }.
% 0.75/1.14 { ! Y = X, alpha4( X, Y ) }.
% 0.75/1.14 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.75/1.14 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.75/1.14 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.75/1.14 .
% 0.75/1.14 { aNaturalNumber0( xn ) }.
% 0.75/1.14 { aNaturalNumber0( xm ) }.
% 0.75/1.14 { aNaturalNumber0( xp ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.14 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.75/1.14 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.75/1.14 ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.75/1.14 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.75/1.14 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z
% 0.75/1.14 ), alpha10( Y, Z ) }.
% 0.75/1.14 { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.75/1.14 { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.75/1.14 { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.75/1.14 alpha10( X, Y ) }.
% 0.75/1.14 { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.75/1.14 { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.75/1.14 { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.14 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.75/1.14 alpha8( X, Y ) }.
% 0.75/1.14 { ! alpha7( X ), alpha9( X ) }.
% 0.75/1.14 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.75/1.14 { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.75/1.14 { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.75/1.14 { ! alpha11( X ), alpha9( X ) }.
% 0.75/1.14 { ! alpha12( X ), alpha9( X ) }.
% 0.75/1.14 { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.75/1.14 { ! alpha12( X ), ! skol7( X ) = X }.
% 0.75/1.14 { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.75/1.14 { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.75/1.14 { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.75/1.14 { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y ) }.
% 0.75/1.14 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.75/1.14 { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.14 { ! alpha15( X, Y ), ! doDivides0( Y, X ), alpha14( X, Y ) }.
% 0.75/1.14 { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.75/1.14 { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.75/1.14 { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.75/1.14 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.75/1.14 alpha15( X, Y ) }.
% 0.75/1.14 { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.75/1.14 { ! X = sz00, alpha11( X ) }.
% 0.75/1.14 { ! X = sz10, alpha11( X ) }.
% 0.75/1.14 { ! xp = sz00 }.
% 0.75/1.14 { ! xp = sz10 }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.75/1.14 X = sz10, X = xp }.
% 0.75/1.14 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.75/1.14 { isPrime0( xp ) }.
% 0.75/1.14 { aNaturalNumber0( skol9 ) }.
% 0.75/1.14 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.75/1.14 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.75/1.14 { aNaturalNumber0( skol10 ) }.
% 0.75/1.14 { sdtpldt0( xp, skol10 ) = xn }.
% 0.75/1.14 { sdtlseqdt0( xp, xn ) }.
% 0.75/1.14 { aNaturalNumber0( xr ) }.
% 0.75/1.14 { sdtpldt0( xp, xr ) = xn }.
% 0.75/1.14 { xr = sdtmndt0( xn, xp ) }.
% 0.75/1.14 { ! xr = xn }.
% 0.75/1.14 { aNaturalNumber0( skol11 ) }.
% 0.75/1.14 { sdtpldt0( xr, skol11 ) = xn }.
% 0.75/1.14 { sdtlseqdt0( xr, xn ) }.
% 0.75/1.14 { xn = sdtpldt0( xp, xr ) }.
% 0.75/1.14 { sdtasdt0( xn, xm ) = sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr, xm ) ) }
% 0.75/1.14 .
% 0.75/1.14 { sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr, xm ) ) = sdtasdt0( xn, xm ) }
% 0.75/1.14 .
% 0.75/1.14 { sdtasdt0( xr, xm ) = sdtmndt0( sdtasdt0( xn, xm ), sdtasdt0( xp, xm ) ) }
% 0.75/1.14 .
% 0.75/1.14 { ! aNaturalNumber0( X ), ! sdtasdt0( xp, xm ) = sdtasdt0( xp, X ) }.
% 0.75/1.14 { ! doDivides0( xp, sdtasdt0( xp, xm ) ) }.
% 0.75/1.14
% 0.75/1.14 percentage equality = 0.281030, percentage horn = 0.750000
% 0.75/1.14 This is a problem with some equality
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Options Used:
% 0.75/1.14
% 0.75/1.14 useres = 1
% 0.75/1.14 useparamod = 1
% 0.75/1.14 useeqrefl = 1
% 0.75/1.14 useeqfact = 1
% 0.75/1.14 usefactor = 1
% 0.75/1.14 usesimpsplitting = 0
% 0.75/1.14 usesimpdemod = 5
% 0.75/1.14 usesimpres = 3
% 0.75/1.14
% 0.75/1.14 resimpinuse = 1000
% 0.75/1.14 resimpclauses = 20000
% 0.75/1.14 substype = eqrewr
% 0.75/1.14 backwardsubs = 1
% 0.75/1.14 selectoldest = 5
% 0.75/1.14
% 0.75/1.14 litorderings [0] = split
% 0.75/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.14
% 0.75/1.14 termordering = kbo
% 0.75/1.14
% 0.75/1.14 litapriori = 0
% 0.75/1.14 termapriori = 1
% 0.75/1.14 litaposteriori = 0
% 0.75/1.14 termaposteriori = 0
% 0.75/1.14 demodaposteriori = 0
% 0.75/1.14 ordereqreflfact = 0
% 0.75/1.14
% 0.75/1.14 litselect = negord
% 0.75/1.14
% 0.75/1.14 maxweight = 15
% 0.75/1.14 maxdepth = 30000
% 0.75/1.14 maxlength = 115
% 0.75/1.14 maxnrvars = 195
% 0.75/1.14 excuselevel = 1
% 0.75/1.14 increasemaxweight = 1
% 0.75/1.14
% 0.75/1.14 maxselected = 10000000
% 0.75/1.14 maxnrclauses = 10000000
% 0.75/1.14
% 0.75/1.14 showgenerated = 0
% 0.75/1.14 showkept = 0
% 0.75/1.14 showselected = 0
% 0.75/1.14 showdeleted = 0
% 0.75/1.14 showresimp = 1
% 0.75/1.14 showstatus = 2000
% 0.75/1.14
% 0.75/1.14 prologoutput = 0
% 0.75/1.14 nrgoals = 5000000
% 0.75/1.14 totalproof = 1
% 0.75/1.14
% 0.75/1.14 Symbols occurring in the translation:
% 0.75/1.14
% 0.75/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.14 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.75/1.14 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.75/1.14 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.75/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 aNaturalNumber0 [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.75/1.14 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.75/1.14 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.75/1.14 sdtpldt0 [40, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.75/1.14 sdtasdt0 [41, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.75/1.14 sdtlseqdt0 [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.75/1.14 sdtmndt0 [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.75/1.14 iLess0 [45, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.75/1.14 doDivides0 [46, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.75/1.14 sdtsldt0 [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.75/1.14 isPrime0 [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.75/1.14 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.14 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.75/1.14 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.14 xr [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.75/1.14 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.75/1.14 alpha2 [56, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.75/1.14 alpha3 [57, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.75/1.14 alpha4 [58, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.75/1.14 alpha5 [59, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.75/1.14 alpha6 [60, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.75/1.14 alpha7 [61, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.75/1.14 alpha8 [62, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.75/1.14 alpha9 [63, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.75/1.14 alpha10 [64, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.75/1.14 alpha11 [65, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.75/1.14 alpha12 [66, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.75/1.14 alpha13 [67, 2] (w:1, o:71, a:1, s:1, b:1),
% 0.75/1.14 alpha14 [68, 2] (w:1, o:72, a:1, s:1, b:1),
% 0.75/1.14 alpha15 [69, 2] (w:1, o:73, a:1, s:1, b:1),
% 0.75/1.14 skol1 [70, 2] (w:1, o:74, a:1, s:1, b:1),
% 0.75/1.14 skol2 [71, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.75/1.14 skol3 [72, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.75/1.14 skol4 [73, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.75/1.14 skol5 [74, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.75/1.14 skol6 [75, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.75/1.14 skol7 [76, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.75/1.14 skol8 [77, 2] (w:1, o:78, a:1, s:1, b:1),
% 0.75/1.14 skol9 [78, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.75/1.14 skol10 [79, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.75/1.14 skol11 [80, 0] (w:1, o:19, a:1, s:1, b:1).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Starting Search:
% 0.75/1.14
% 0.75/1.14 *** allocated 15000 integers for clauses
% 0.75/1.14 *** allocated 22500 integers for clauses
% 0.75/1.14
% 0.75/1.14 Bliksems!, er is een bewijs:
% 0.75/1.14 % SZS status Theorem
% 0.75/1.14 % SZS output start Refutation
% 0.75/1.14
% 0.75/1.14 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.75/1.14 (136) {G0,W9,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), ! sdtasdt0( xp, xm )
% 0.75/1.14 = sdtasdt0( xp, X ) }.
% 0.75/1.14 (291) {G1,W0,D0,L0,V0,M0} Q(136);r(82) { }.
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 % SZS output end Refutation
% 0.75/1.14 found a proof!
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Unprocessed initial clauses:
% 0.75/1.14
% 0.75/1.14 (293) {G0,W1,D1,L1,V0,M1} { && }.
% 0.75/1.14 (294) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.75/1.14 (295) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.75/1.14 (296) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.75/1.14 (297) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.75/1.14 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.75/1.14 (298) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.75/1.14 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.75/1.14 (299) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.75/1.14 (300) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.75/1.14 , sdtpldt0( Y, Z ) ) }.
% 0.75/1.14 (301) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.75/1.14 X }.
% 0.75/1.14 (302) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.75/1.14 ) }.
% 0.75/1.14 (303) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.75/1.14 (304) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.75/1.14 , sdtasdt0( Y, Z ) ) }.
% 0.75/1.14 (305) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.75/1.14 X }.
% 0.75/1.14 (306) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.75/1.14 ) }.
% 0.75/1.14 (307) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.75/1.14 sz00 }.
% 0.75/1.14 (308) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.75/1.14 , X ) }.
% 0.75/1.14 (309) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.75/1.14 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.75/1.14 (310) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.75/1.14 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.75/1.14 (311) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.75/1.14 }.
% 0.75/1.14 (312) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.75/1.14 }.
% 0.75/1.14 (313) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.75/1.14 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.75/1.14 sdtasdt0( X, Z ), Y = Z }.
% 0.75/1.14 (314) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.75/1.14 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.75/1.14 sdtasdt0( Z, X ), Y = Z }.
% 0.75/1.14 (315) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.75/1.14 (316) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.75/1.14 (317) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.75/1.14 (318) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.75/1.14 (319) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.75/1.14 (320) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.75/1.14 }.
% 0.75/1.14 (321) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.75/1.14 }.
% 0.75/1.14 (322) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.75/1.14 }.
% 0.75/1.14 (323) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.75/1.14 , Z = sdtmndt0( Y, X ) }.
% 0.75/1.14 (324) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.75/1.14 (325) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.75/1.14 (326) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.75/1.14 sdtlseqdt0( X, Z ) }.
% 0.75/1.14 (327) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.75/1.14 (328) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.75/1.14 (329) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 0.75/1.14 ) }.
% 0.75/1.14 (330) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.75/1.14 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.75/1.14 (331) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.75/1.14 sdtpldt0( Z, Y ) }.
% 0.75/1.14 (332) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.75/1.14 , X ), sdtpldt0( Z, Y ) ) }.
% 0.75/1.14 (333) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.75/1.14 sdtpldt0( Y, Z ) }.
% 0.75/1.14 (334) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.75/1.14 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.75/1.14 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 0.75/1.14 (335) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6
% 0.75/1.14 ( X, Y, Z ) }.
% 0.75/1.14 (336) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.14 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.75/1.14 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.75/1.14 (337) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.75/1.14 sdtasdt0( X, Z ) }.
% 0.75/1.14 (338) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.75/1.15 , Y ), sdtasdt0( X, Z ) ) }.
% 0.75/1.15 (339) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.75/1.15 sdtasdt0( Z, X ) }.
% 0.75/1.15 (340) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.75/1.15 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.75/1.15 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 0.75/1.15 (341) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.75/1.15 sz10 = X }.
% 0.75/1.15 (342) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.75/1.15 sdtlseqdt0( sz10, X ) }.
% 0.75/1.15 (343) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.75/1.15 (344) {G0,W1,D1,L1,V0,M1} { && }.
% 0.75/1.15 (345) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.75/1.15 (346) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.75/1.15 (347) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.75/1.15 (348) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.75/1.15 }.
% 0.75/1.15 (349) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.75/1.15 aNaturalNumber0( Z ) }.
% 0.75/1.15 (350) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.75/1.15 ( X, Z ) }.
% 0.75/1.15 (351) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.75/1.15 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.75/1.15 (352) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.75/1.15 doDivides0( X, Z ) }.
% 0.75/1.15 (353) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.75/1.15 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.75/1.15 (354) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 0.75/1.15 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 0.75/1.15 (355) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 0.75/1.15 (356) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z,
% 0.75/1.15 sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 0.75/1.15 (357) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 0.75/1.15 sz00 }.
% 0.75/1.15 (358) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 0.75/1.15 alpha1( X ) }.
% 0.75/1.15 (359) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X
% 0.75/1.15 ), isPrime0( X ) }.
% 0.75/1.15 (360) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 0.75/1.15 (361) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.75/1.15 (362) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.75/1.15 (363) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y
% 0.75/1.15 ) }.
% 0.75/1.15 (364) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.75/1.15 (365) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.75/1.15 (366) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.75/1.15 (367) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 0.75/1.15 (368) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 0.75/1.15 (369) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.75/1.15 (370) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.15 (371) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ),
% 0.75/1.15 alpha3( X, Y ) }.
% 0.75/1.15 (372) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.75/1.15 aNaturalNumber0( skol4( Y ) ) }.
% 0.75/1.15 (373) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.75/1.15 isPrime0( skol4( Y ) ) }.
% 0.75/1.15 (374) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.75/1.15 doDivides0( skol4( X ), X ) }.
% 0.75/1.15 (375) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.75/1.15 (376) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.75/1.15 (377) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 0.75/1.15 (378) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 0.75/1.15 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 0.75/1.15 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z ), alpha10( Y,
% 0.75/1.15 Z ) }.
% 0.75/1.15 (379) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 0.75/1.15 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 0.75/1.15 xm ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.75/1.15 (380) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z,
% 0.75/1.15 T ) ) }.
% 0.75/1.15 (381) {G0,W10,D4,L2,V2,M2} { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X
% 0.75/1.15 , Y ) ) }.
% 0.75/1.15 (382) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.15 (383) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.75/1.15 ), ! doDivides0( Y, X ), alpha10( X, Y ) }.
% 0.75/1.15 (384) {G0,W7,D3,L2,V4,M2} { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T
% 0.75/1.15 ) ) }.
% 0.75/1.15 (385) {G0,W10,D4,L2,V2,M2} { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X,
% 0.75/1.15 Y ) ) }.
% 0.75/1.15 (386) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.15 (387) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.75/1.15 ), ! doDivides0( Y, X ), alpha8( X, Y ) }.
% 0.75/1.15 (388) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha9( X ) }.
% 0.75/1.15 (389) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 0.75/1.15 (390) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.75/1.15 (391) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.75/1.15 (392) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha9( X ) }.
% 0.75/1.15 (393) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha9( X ) }.
% 0.75/1.15 (394) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.75/1.15 (395) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), ! skol7( X ) = X }.
% 0.75/1.15 (396) {G0,W8,D2,L3,V2,M3} { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.75/1.15 (397) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.75/1.15 (398) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.75/1.15 (399) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y )
% 0.75/1.15 }.
% 0.75/1.15 (400) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.75/1.15 (401) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.75/1.15 (402) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! doDivides0( Y, X ),
% 0.75/1.15 alpha14( X, Y ) }.
% 0.75/1.15 (403) {G0,W5,D2,L2,V2,M2} { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.75/1.15 (404) {G0,W7,D3,L2,V4,M2} { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z,
% 0.75/1.15 T ) ) }.
% 0.75/1.15 (405) {G0,W10,D4,L2,V2,M2} { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X
% 0.75/1.15 , Y ) ) }.
% 0.75/1.15 (406) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z
% 0.75/1.15 ), ! X = sdtasdt0( Y, Z ), alpha15( X, Y ) }.
% 0.75/1.15 (407) {G0,W8,D2,L3,V1,M3} { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.75/1.15 (408) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha11( X ) }.
% 0.75/1.15 (409) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha11( X ) }.
% 0.75/1.15 (410) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 0.75/1.15 (411) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 0.75/1.15 (412) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.75/1.15 ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 0.75/1.15 (413) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp )
% 0.75/1.15 , X = sz10, X = xp }.
% 0.75/1.15 (414) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 0.75/1.15 (415) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 0.75/1.15 (416) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.75/1.15 (417) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.75/1.15 (418) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 0.75/1.15 (419) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, skol10 ) = xn }.
% 0.75/1.15 (420) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xn ) }.
% 0.75/1.15 (421) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 0.75/1.15 (422) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, xr ) = xn }.
% 0.75/1.15 (423) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xn, xp ) }.
% 0.75/1.15 (424) {G0,W3,D2,L1,V0,M1} { ! xr = xn }.
% 0.75/1.15 (425) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 0.75/1.15 (426) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xr, skol11 ) = xn }.
% 0.75/1.15 (427) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xn ) }.
% 0.75/1.15 (428) {G0,W5,D3,L1,V0,M1} { xn = sdtpldt0( xp, xr ) }.
% 0.75/1.15 (429) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtpldt0( sdtasdt0( xp,
% 0.75/1.15 xm ), sdtasdt0( xr, xm ) ) }.
% 0.75/1.15 (430) {G0,W11,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr,
% 0.75/1.15 xm ) ) = sdtasdt0( xn, xm ) }.
% 0.75/1.15 (431) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xr, xm ) = sdtmndt0( sdtasdt0( xn,
% 0.75/1.15 xm ), sdtasdt0( xp, xm ) ) }.
% 0.75/1.15 (432) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtasdt0( xp, xm ) =
% 0.75/1.15 sdtasdt0( xp, X ) }.
% 0.75/1.15 (433) {G0,W5,D3,L1,V0,M1} { ! doDivides0( xp, sdtasdt0( xp, xm ) ) }.
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Total Proof:
% 0.75/1.15
% 0.75/1.15 *** allocated 15000 integers for termspace/termends
% 0.75/1.15 *** allocated 33750 integers for clauses
% 0.75/1.15 *** allocated 22500 integers for termspace/termends
% 0.75/1.15 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.75/1.15 parent0: (376) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 *** allocated 50625 integers for clauses
% 0.75/1.15 *** allocated 33750 integers for termspace/termends
% 0.75/1.15 subsumption: (136) {G0,W9,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 0.75/1.15 sdtasdt0( xp, xm ) = sdtasdt0( xp, X ) }.
% 0.75/1.15 parent0: (432) {G0,W9,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtasdt0(
% 0.75/1.15 xp, xm ) = sdtasdt0( xp, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 1 ==> 1
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 eqswap: (1353) {G0,W9,D3,L2,V1,M2} { ! sdtasdt0( xp, X ) = sdtasdt0( xp,
% 0.75/1.15 xm ), ! aNaturalNumber0( X ) }.
% 0.75/1.15 parent0[1]: (136) {G0,W9,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 0.75/1.15 sdtasdt0( xp, xm ) = sdtasdt0( xp, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 eqrefl: (1354) {G0,W2,D2,L1,V0,M1} { ! aNaturalNumber0( xm ) }.
% 0.75/1.15 parent0[0]: (1353) {G0,W9,D3,L2,V1,M2} { ! sdtasdt0( xp, X ) = sdtasdt0(
% 0.75/1.15 xp, xm ), ! aNaturalNumber0( X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := xm
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (1355) {G1,W0,D0,L0,V0,M0} { }.
% 0.75/1.15 parent0[0]: (1354) {G0,W2,D2,L1,V0,M1} { ! aNaturalNumber0( xm ) }.
% 0.75/1.15 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (291) {G1,W0,D0,L0,V0,M0} Q(136);r(82) { }.
% 0.75/1.15 parent0: (1355) {G1,W0,D0,L0,V0,M0} { }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 Proof check complete!
% 0.75/1.15
% 0.75/1.15 Memory use:
% 0.75/1.15
% 0.75/1.15 space for terms: 7788
% 0.75/1.15 space for clauses: 15767
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 clauses generated: 628
% 0.75/1.15 clauses kept: 292
% 0.75/1.15 clauses selected: 0
% 0.75/1.15 clauses deleted: 0
% 0.75/1.15 clauses inuse deleted: 0
% 0.75/1.15
% 0.75/1.15 subsentry: 7964
% 0.75/1.15 literals s-matched: 3243
% 0.75/1.15 literals matched: 2439
% 0.75/1.15 full subsumption: 1226
% 0.75/1.15
% 0.75/1.15 checksum: 1234979209
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Bliksem ended
%------------------------------------------------------------------------------