%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM521+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 06:23:11 EDT 2022
% Result : Theorem 6.13s 6.60s
% Output : Refutation 6.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM521+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 : Thu Jul 7 20:01:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/1.10 *** allocated 10000 integers for termspace/termends
% 0.68/1.10 *** allocated 10000 integers for clauses
% 0.68/1.10 *** allocated 10000 integers for justifications
% 0.68/1.10 Bliksem 1.12
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Automatic Strategy Selection
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Clauses:
% 0.68/1.10
% 0.68/1.10 { && }.
% 0.68/1.10 { aNaturalNumber0( sz00 ) }.
% 0.68/1.10 { aNaturalNumber0( sz10 ) }.
% 0.68/1.10 { ! sz10 = sz00 }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.68/1.10 ( X, Y ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.68/1.10 ( X, Y ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.68/1.10 sdtpldt0( Y, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.10 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.68/1.10 sdtasdt0( Y, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.10 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.68/1.10 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.10 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.68/1.10 , Z ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.10 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.68/1.10 , X ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.68/1.10 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.68/1.10 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.68/1.10 , X = sz00 }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.68/1.10 , Y = sz00 }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.68/1.10 , X = sz00, Y = sz00 }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.68/1.10 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.68/1.10 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.68/1.10 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.68/1.10 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.68/1.10 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.68/1.10 sdtlseqdt0( Y, X ), X = Y }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.68/1.10 X }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.68/1.10 sdtlseqdt0( Y, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.68/1.10 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.68/1.10 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.68/1.10 ) ) }.
% 0.68/1.10 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.68/1.10 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.68/1.10 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.68/1.10 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.68/1.10 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.68/1.10 ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.68/1.10 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.68/1.10 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.68/1.10 sdtasdt0( Z, X ) ) }.
% 0.68/1.10 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.68/1.10 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.68/1.10 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.68/1.10 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.68/1.10 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.68/1.10 ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.68/1.10 sdtasdt0( Y, X ) ) }.
% 0.68/1.10 { && }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.68/1.10 ), iLess0( X, Y ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.68/1.10 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.68/1.10 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.68/1.10 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.68/1.10 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.68/1.10 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.68/1.10 ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.68/1.10 ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.68/1.10 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.68/1.10 Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.68/1.10 sz00, sdtlseqdt0( X, Y ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.68/1.10 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.68/1.10 ( sdtasdt0( Z, Y ), X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.68/1.10 { ! alpha1( X ), ! X = sz10 }.
% 0.68/1.10 { ! alpha1( X ), alpha2( X ) }.
% 0.68/1.10 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.68/1.10 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.68/1.10 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.68/1.10 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.68/1.10 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.68/1.10 { ! Y = sz10, alpha4( X, Y ) }.
% 0.68/1.10 { ! Y = X, alpha4( X, Y ) }.
% 0.68/1.10 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.68/1.10 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.68/1.10 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.68/1.10 }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.68/1.10 .
% 0.68/1.10 { aNaturalNumber0( xn ) }.
% 0.68/1.10 { aNaturalNumber0( xm ) }.
% 0.68/1.10 { aNaturalNumber0( xp ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.10 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.68/1.10 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.68/1.10 ), xp ) ), alpha9( X, Z ), alpha11( Y, Z ) }.
% 0.68/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.68/1.10 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 6.13/6.55 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z
% 6.13/6.55 ), alpha11( Y, Z ) }.
% 6.13/6.55 { ! alpha11( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 6.13/6.55 { ! alpha11( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 6.13/6.55 { ! alpha11( X, Y ), doDivides0( Y, X ) }.
% 6.13/6.55 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 6.13/6.55 alpha11( X, Y ) }.
% 6.13/6.55 { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 6.13/6.55 { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 6.13/6.55 { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 6.13/6.55 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 6.13/6.55 alpha9( X, Y ) }.
% 6.13/6.55 { ! alpha7( X ), alpha10( X ) }.
% 6.13/6.55 { ! alpha7( X ), ! isPrime0( X ) }.
% 6.13/6.55 { ! alpha10( X ), isPrime0( X ), alpha7( X ) }.
% 6.13/6.55 { ! alpha10( X ), alpha12( X ), alpha13( X ) }.
% 6.13/6.55 { ! alpha12( X ), alpha10( X ) }.
% 6.13/6.55 { ! alpha13( X ), alpha10( X ) }.
% 6.13/6.55 { ! alpha13( X ), alpha14( X, skol7( X ) ) }.
% 6.13/6.55 { ! alpha13( X ), ! skol7( X ) = X }.
% 6.13/6.55 { ! alpha14( X, Y ), Y = X, alpha13( X ) }.
% 6.13/6.55 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 6.13/6.55 { ! alpha14( X, Y ), ! Y = sz10 }.
% 6.13/6.55 { ! alpha15( X, Y ), Y = sz10, alpha14( X, Y ) }.
% 6.13/6.55 { ! alpha15( X, Y ), alpha16( X, Y ) }.
% 6.13/6.55 { ! alpha15( X, Y ), doDivides0( Y, X ) }.
% 6.13/6.55 { ! alpha16( X, Y ), ! doDivides0( Y, X ), alpha15( X, Y ) }.
% 6.13/6.55 { ! alpha16( X, Y ), aNaturalNumber0( Y ) }.
% 6.13/6.55 { ! alpha16( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 6.13/6.55 { ! alpha16( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 6.13/6.55 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 6.13/6.55 alpha16( X, Y ) }.
% 6.13/6.55 { ! alpha12( X ), X = sz00, X = sz10 }.
% 6.13/6.55 { ! X = sz00, alpha12( X ) }.
% 6.13/6.55 { ! X = sz10, alpha12( X ) }.
% 6.13/6.55 { ! xp = sz00 }.
% 6.13/6.55 { ! xp = sz10 }.
% 6.13/6.55 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 6.13/6.55 X = sz10, X = xp }.
% 6.13/6.55 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 6.13/6.55 { isPrime0( xp ) }.
% 6.13/6.55 { aNaturalNumber0( skol9 ) }.
% 6.13/6.55 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 6.13/6.55 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 6.13/6.55 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 6.13/6.55 { ! sdtlseqdt0( xp, xn ) }.
% 6.13/6.55 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 6.13/6.55 { ! sdtlseqdt0( xp, xm ) }.
% 6.13/6.55 { xn = xp, alpha8, xm = xp, ! aNaturalNumber0( X ), ! sdtpldt0( xm, X ) =
% 6.13/6.55 xp }.
% 6.13/6.55 { xn = xp, alpha8, xm = xp, ! sdtlseqdt0( xm, xp ) }.
% 6.13/6.55 { ! alpha8, ! aNaturalNumber0( X ), ! sdtpldt0( xn, X ) = xp }.
% 6.13/6.55 { ! alpha8, ! sdtlseqdt0( xn, xp ) }.
% 6.13/6.55 { aNaturalNumber0( skol10 ), sdtlseqdt0( xn, xp ), alpha8 }.
% 6.13/6.55 { sdtpldt0( xn, skol10 ) = xp, sdtlseqdt0( xn, xp ), alpha8 }.
% 6.13/6.55 { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xp, X ) }.
% 6.13/6.55 { ! doDivides0( xp, xn ) }.
% 6.13/6.55 { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xp, X ) }.
% 6.13/6.55 { ! doDivides0( xp, xm ) }.
% 6.13/6.55
% 6.13/6.55 percentage equality = 0.273756, percentage horn = 0.717391
% 6.13/6.55 This is a problem with some equality
% 6.13/6.55
% 6.13/6.55
% 6.13/6.55
% 6.13/6.55 Options Used:
% 6.13/6.55
% 6.13/6.55 useres = 1
% 6.13/6.55 useparamod = 1
% 6.13/6.55 useeqrefl = 1
% 6.13/6.55 useeqfact = 1
% 6.13/6.55 usefactor = 1
% 6.13/6.55 usesimpsplitting = 0
% 6.13/6.55 usesimpdemod = 5
% 6.13/6.55 usesimpres = 3
% 6.13/6.55
% 6.13/6.55 resimpinuse = 1000
% 6.13/6.55 resimpclauses = 20000
% 6.13/6.55 substype = eqrewr
% 6.13/6.55 backwardsubs = 1
% 6.13/6.55 selectoldest = 5
% 6.13/6.55
% 6.13/6.55 litorderings [0] = split
% 6.13/6.55 litorderings [1] = extend the termordering, first sorting on arguments
% 6.13/6.55
% 6.13/6.55 termordering = kbo
% 6.13/6.55
% 6.13/6.55 litapriori = 0
% 6.13/6.55 termapriori = 1
% 6.13/6.55 litaposteriori = 0
% 6.13/6.55 termaposteriori = 0
% 6.13/6.55 demodaposteriori = 0
% 6.13/6.55 ordereqreflfact = 0
% 6.13/6.55
% 6.13/6.55 litselect = negord
% 6.13/6.55
% 6.13/6.55 maxweight = 15
% 6.13/6.55 maxdepth = 30000
% 6.13/6.55 maxlength = 115
% 6.13/6.55 maxnrvars = 195
% 6.13/6.55 excuselevel = 1
% 6.13/6.55 increasemaxweight = 1
% 6.13/6.55
% 6.13/6.55 maxselected = 10000000
% 6.13/6.55 maxnrclauses = 10000000
% 6.13/6.55
% 6.13/6.55 showgenerated = 0
% 6.13/6.55 showkept = 0
% 6.13/6.55 showselected = 0
% 6.13/6.55 showdeleted = 0
% 6.13/6.55 showresimp = 1
% 6.13/6.55 showstatus = 2000
% 6.13/6.55
% 6.13/6.55 prologoutput = 0
% 6.13/6.55 nrgoals = 5000000
% 6.13/6.55 totalproof = 1
% 6.13/6.55
% 6.13/6.55 Symbols occurring in the translation:
% 6.13/6.55
% 6.13/6.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.13/6.55 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 6.13/6.55 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 6.13/6.55 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 6.13/6.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.13/6.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.13/6.55 aNaturalNumber0 [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 6.13/6.60 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 6.13/6.60 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 6.13/6.60 sdtpldt0 [40, 2] (w:1, o:59, a:1, s:1, b:0),
% 6.13/6.60 sdtasdt0 [41, 2] (w:1, o:60, a:1, s:1, b:0),
% 6.13/6.60 sdtlseqdt0 [43, 2] (w:1, o:61, a:1, s:1, b:0),
% 6.13/6.60 sdtmndt0 [44, 2] (w:1, o:62, a:1, s:1, b:0),
% 6.13/6.60 iLess0 [45, 2] (w:1, o:63, a:1, s:1, b:0),
% 6.13/6.60 doDivides0 [46, 2] (w:1, o:64, a:1, s:1, b:0),
% 6.13/6.60 sdtsldt0 [47, 2] (w:1, o:65, a:1, s:1, b:0),
% 6.13/6.60 isPrime0 [48, 1] (w:1, o:25, a:1, s:1, b:0),
% 6.13/6.60 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.13/6.60 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 6.13/6.60 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 6.13/6.60 alpha1 [54, 1] (w:1, o:26, a:1, s:1, b:1),
% 6.13/6.60 alpha2 [55, 1] (w:1, o:30, a:1, s:1, b:1),
% 6.13/6.60 alpha3 [56, 2] (w:1, o:66, a:1, s:1, b:1),
% 6.13/6.60 alpha4 [57, 2] (w:1, o:67, a:1, s:1, b:1),
% 6.13/6.60 alpha5 [58, 3] (w:1, o:78, a:1, s:1, b:1),
% 6.13/6.60 alpha6 [59, 3] (w:1, o:79, a:1, s:1, b:1),
% 6.13/6.60 alpha7 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 6.13/6.60 alpha8 [61, 0] (w:1, o:16, a:1, s:1, b:1),
% 6.13/6.60 alpha9 [62, 2] (w:1, o:68, a:1, s:1, b:1),
% 6.13/6.60 alpha10 [63, 1] (w:1, o:27, a:1, s:1, b:1),
% 6.13/6.60 alpha11 [64, 2] (w:1, o:69, a:1, s:1, b:1),
% 6.13/6.60 alpha12 [65, 1] (w:1, o:28, a:1, s:1, b:1),
% 6.13/6.60 alpha13 [66, 1] (w:1, o:29, a:1, s:1, b:1),
% 6.13/6.60 alpha14 [67, 2] (w:1, o:70, a:1, s:1, b:1),
% 6.13/6.60 alpha15 [68, 2] (w:1, o:71, a:1, s:1, b:1),
% 6.13/6.60 alpha16 [69, 2] (w:1, o:72, a:1, s:1, b:1),
% 6.13/6.60 skol1 [70, 2] (w:1, o:73, a:1, s:1, b:1),
% 6.13/6.60 skol2 [71, 2] (w:1, o:74, a:1, s:1, b:1),
% 6.13/6.60 skol3 [72, 1] (w:1, o:32, a:1, s:1, b:1),
% 6.13/6.60 skol4 [73, 1] (w:1, o:33, a:1, s:1, b:1),
% 6.13/6.60 skol5 [74, 2] (w:1, o:75, a:1, s:1, b:1),
% 6.13/6.60 skol6 [75, 2] (w:1, o:76, a:1, s:1, b:1),
% 6.13/6.60 skol7 [76, 1] (w:1, o:34, a:1, s:1, b:1),
% 6.13/6.60 skol8 [77, 2] (w:1, o:77, a:1, s:1, b:1),
% 6.13/6.60 skol9 [78, 0] (w:1, o:17, a:1, s:1, b:1),
% 6.13/6.60 skol10 [79, 0] (w:1, o:18, a:1, s:1, b:1).
% 6.13/6.60
% 6.13/6.60
% 6.13/6.60 Starting Search:
% 6.13/6.60
% 6.13/6.60 *** allocated 15000 integers for clauses
% 6.13/6.60 *** allocated 22500 integers for clauses
% 6.13/6.60 *** allocated 33750 integers for clauses
% 6.13/6.60 *** allocated 15000 integers for termspace/termends
% 6.13/6.60 *** allocated 50625 integers for clauses
% 6.13/6.60 *** allocated 22500 integers for termspace/termends
% 6.13/6.60 *** allocated 75937 integers for clauses
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 33750 integers for termspace/termends
% 6.13/6.60 *** allocated 113905 integers for clauses
% 6.13/6.60 *** allocated 50625 integers for termspace/termends
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 11621
% 6.13/6.60 Kept: 2064
% 6.13/6.60 Inuse: 140
% 6.13/6.60 Deleted: 1
% 6.13/6.60 Deletedinuse: 0
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 170857 integers for clauses
% 6.13/6.60 *** allocated 75937 integers for termspace/termends
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 256285 integers for clauses
% 6.13/6.60 *** allocated 113905 integers for termspace/termends
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 23388
% 6.13/6.60 Kept: 4129
% 6.13/6.60 Inuse: 192
% 6.13/6.60 Deleted: 9
% 6.13/6.60 Deletedinuse: 1
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 170857 integers for termspace/termends
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 384427 integers for clauses
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 45032
% 6.13/6.60 Kept: 6288
% 6.13/6.60 Inuse: 234
% 6.13/6.60 Deleted: 13
% 6.13/6.60 Deletedinuse: 1
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 256285 integers for termspace/termends
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 59446
% 6.13/6.60 Kept: 8291
% 6.13/6.60 Inuse: 266
% 6.13/6.60 Deleted: 16
% 6.13/6.60 Deletedinuse: 4
% 6.13/6.60
% 6.13/6.60 *** allocated 576640 integers for clauses
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 82466
% 6.13/6.60 Kept: 11373
% 6.13/6.60 Inuse: 328
% 6.13/6.60 Deleted: 23
% 6.13/6.60 Deletedinuse: 5
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 384427 integers for termspace/termends
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 864960 integers for clauses
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 103601
% 6.13/6.60 Kept: 13496
% 6.13/6.60 Inuse: 358
% 6.13/6.60 Deleted: 26
% 6.13/6.60 Deletedinuse: 8
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 110626
% 6.13/6.60 Kept: 15558
% 6.13/6.60 Inuse: 418
% 6.13/6.60 Deleted: 29
% 6.13/6.60 Deletedinuse: 11
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 Resimplifying inuse:
% 6.13/6.60 Done
% 6.13/6.60
% 6.13/6.60 *** allocated 576640 integers for termspace/termends
% 6.13/6.60
% 6.13/6.60 Intermediate Status:
% 6.13/6.60 Generated: 124703
% 6.13/6.60 Kept: 17608
% 6.13/6.60 Inuse: 463
% 6.13/6.60 Deleted: 30
% 6.13/6.60 Deletedinuse: 12
% 6.13/6.60
% 6.13/6.60
% 6.13/6.60 Bliksems!, er is een bewijs:
% 6.13/6.60 % SZS status Theorem
% 6.13/6.60 % SZS output start Refutation
% 6.13/6.60
% 6.13/6.60 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 6.13/6.60 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 6.13/6.60 (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 6.13/6.60 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 6.13/6.60 (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 6.13/6.60 (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 6.13/6.60 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 6.13/6.60 (125) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 6.13/6.60 (127) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 6.13/6.60 (129) {G0,W10,D2,L4,V0,M4} I { xp ==> xn, alpha8, xp ==> xm, ! sdtlseqdt0(
% 6.13/6.60 xm, xp ) }.
% 6.13/6.60 (131) {G0,W4,D2,L2,V0,M2} I { ! alpha8, ! sdtlseqdt0( xn, xp ) }.
% 6.13/6.60 (2849) {G1,W5,D2,L2,V0,M2} R(34,125);r(83) { ! aNaturalNumber0( xn ), ! xp
% 6.13/6.60 ==> xn }.
% 6.13/6.60 (2850) {G1,W5,D2,L2,V0,M2} R(34,127);r(83) { ! aNaturalNumber0( xm ), ! xp
% 6.13/6.60 ==> xm }.
% 6.13/6.60 (2887) {G2,W3,D2,L1,V0,M1} S(2849);r(81) { ! xp ==> xn }.
% 6.13/6.60 (2897) {G2,W3,D2,L1,V0,M1} S(2850);r(82) { ! xp ==> xm }.
% 6.13/6.60 (2929) {G1,W5,D2,L2,V0,M2} R(35,125);r(83) { ! aNaturalNumber0( xn ),
% 6.13/6.60 sdtlseqdt0( xn, xp ) }.
% 6.13/6.60 (2931) {G1,W5,D2,L2,V0,M2} R(35,127);r(83) { ! aNaturalNumber0( xm ),
% 6.13/6.60 sdtlseqdt0( xm, xp ) }.
% 6.13/6.60 (2947) {G2,W3,D2,L1,V0,M1} S(2929);r(81) { sdtlseqdt0( xn, xp ) }.
% 6.13/6.60 (2954) {G3,W1,D1,L1,V0,M1} R(2947,131) { ! alpha8 }.
% 6.13/6.60 (3342) {G2,W3,D2,L1,V0,M1} S(2931);r(82) { sdtlseqdt0( xm, xp ) }.
% 6.13/6.60 (17885) {G4,W0,D0,L0,V0,M0} S(129);r(2887);r(2954);r(2897);r(3342) { }.
% 6.13/6.60
% 6.13/6.60
% 6.13/6.60 % SZS output end Refutation
% 6.13/6.60 found a proof!
% 6.13/6.60
% 6.13/6.60
% 6.13/6.60 Unprocessed initial clauses:
% 6.13/6.60
% 6.13/6.60 (17887) {G0,W1,D1,L1,V0,M1} { && }.
% 6.13/6.60 (17888) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 6.13/6.60 (17889) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 6.13/6.60 (17890) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 6.13/6.60 (17891) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 6.13/6.60 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 6.13/6.60 (17892) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 6.13/6.60 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 6.13/6.60 (17893) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 6.13/6.60 (17894) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 6.13/6.60 X, sdtpldt0( Y, Z ) ) }.
% 6.13/6.60 (17895) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 6.13/6.60 = X }.
% 6.13/6.60 (17896) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 6.13/6.60 X ) }.
% 6.13/6.60 (17897) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 6.13/6.60 (17898) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 6.13/6.60 X, sdtasdt0( Y, Z ) ) }.
% 6.13/6.60 (17899) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 6.13/6.60 = X }.
% 6.13/6.60 (17900) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 6.13/6.60 X ) }.
% 6.13/6.60 (17901) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 6.13/6.60 = sz00 }.
% 6.13/6.60 (17902) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 6.13/6.60 sz00, X ) }.
% 6.13/6.60 (17903) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 6.13/6.60 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 6.13/6.60 (17904) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 6.13/6.60 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 6.13/6.60 (17905) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 6.13/6.60 }.
% 6.13/6.60 (17906) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 6.13/6.60 }.
% 6.13/6.60 (17907) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 6.13/6.60 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 6.13/6.60 sdtasdt0( X, Z ), Y = Z }.
% 6.13/6.60 (17908) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 6.13/6.60 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 6.13/6.60 sdtasdt0( Z, X ), Y = Z }.
% 6.13/6.60 (17909) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 6.13/6.60 (17910) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 6.13/6.60 (17911) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 6.13/6.60 (17912) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 6.13/6.60 (17913) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 6.13/6.60 (17914) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 6.13/6.60 }.
% 6.13/6.60 (17915) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 6.13/6.60 }.
% 6.13/6.60 (17916) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 6.13/6.60 }.
% 6.13/6.60 (17917) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 6.13/6.60 , Z = sdtmndt0( Y, X ) }.
% 6.13/6.60 (17918) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 6.13/6.60 }.
% 6.13/6.60 (17919) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 6.13/6.60 (17920) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 6.13/6.60 sdtlseqdt0( X, Z ) }.
% 6.13/6.60 (17921) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 6.13/6.60 (17922) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 6.13/6.60 (17923) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 6.13/6.60 ) }.
% 6.13/6.60 (17924) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 6.13/6.60 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 6.13/6.60 (17925) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 6.13/6.60 sdtpldt0( Z, Y ) }.
% 6.13/6.60 (17926) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 6.13/6.60 Z, X ), sdtpldt0( Z, Y ) ) }.
% 6.13/6.60 (17927) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 6.13/6.60 sdtpldt0( Y, Z ) }.
% 6.13/6.60 (17928) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 6.13/6.60 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 6.13/6.60 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 6.13/6.60 (17929) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 6.13/6.60 alpha6( X, Y, Z ) }.
% 6.13/6.60 (17930) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 6.13/6.60 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 6.13/6.60 (17931) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 6.13/6.60 sdtasdt0( X, Z ) }.
% 6.13/6.60 (17932) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 6.13/6.60 X, Y ), sdtasdt0( X, Z ) ) }.
% 6.13/6.60 (17933) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 6.13/6.60 sdtasdt0( Z, X ) }.
% 6.13/6.60 (17934) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 6.13/6.60 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 6.13/6.60 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 6.13/6.60 (17935) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 6.13/6.60 , ! sz10 = X }.
% 6.13/6.60 (17936) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 6.13/6.60 , sdtlseqdt0( sz10, X ) }.
% 6.13/6.60 (17937) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 6.13/6.60 (17938) {G0,W1,D1,L1,V0,M1} { && }.
% 6.13/6.60 (17939) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 6.13/6.60 (17940) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 6.13/6.60 (17941) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 6.13/6.60 (17942) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 6.13/6.60 }.
% 6.13/6.60 (17943) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 6.13/6.60 aNaturalNumber0( Z ) }.
% 6.13/6.60 (17944) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 6.13/6.60 ( X, Z ) }.
% 6.13/6.60 (17945) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 6.13/6.60 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 6.13/6.60 (17946) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 6.13/6.60 doDivides0( X, Z ) }.
% 6.13/6.60 (17947) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 6.13/6.60 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 6.13/6.60 (17948) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 6.13/6.60 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 6.13/6.60 (17949) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 6.13/6.60 (17950) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 6.13/6.60 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 6.13/6.60 (17951) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 6.13/6.60 = sz00 }.
% 6.13/6.60 (17952) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 6.13/6.60 alpha1( X ) }.
% 6.13/6.60 (17953) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 6.13/6.60 X ), isPrime0( X ) }.
% 6.13/6.60 (17954) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 6.13/6.60 (17955) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 6.13/6.60 (17956) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 6.13/6.60 (17957) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 6.13/6.60 Y ) }.
% 6.13/6.60 (17958) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 6.13/6.60 (17959) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 6.13/6.60 (17960) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 6.13/6.60 (17961) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 6.13/6.60 (17962) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 6.13/6.60 (17963) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 6.13/6.60 (17964) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 6.13/6.60 (17965) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 6.13/6.60 , alpha3( X, Y ) }.
% 6.13/6.60 (17966) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 6.13/6.60 , aNaturalNumber0( skol4( Y ) ) }.
% 6.13/6.60 (17967) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 6.13/6.60 , isPrime0( skol4( Y ) ) }.
% 6.13/6.60 (17968) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 6.13/6.60 , doDivides0( skol4( X ), X ) }.
% 6.13/6.60 (17969) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 6.13/6.60 (17970) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 6.13/6.60 (17971) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 6.13/6.60 (17972) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 6.13/6.60 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 6.13/6.60 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z ), alpha11( Y,
% 6.13/6.60 Z ) }.
% 6.13/6.60 (17973) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 6.13/6.60 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 6.13/6.60 xm ), xp ) ), alpha9( X, Z ), alpha11( Y, Z ) }.
% 6.13/6.60 (17974) {G0,W7,D3,L2,V4,M2} { ! alpha11( X, Y ), aNaturalNumber0( skol5( Z
% 6.13/6.60 , T ) ) }.
% 6.13/6.60 (17975) {G0,W10,D4,L2,V2,M2} { ! alpha11( X, Y ), X = sdtasdt0( Y, skol5(
% 6.13/6.60 X, Y ) ) }.
% 6.13/6.60 (17976) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), doDivides0( Y, X ) }.
% 6.13/6.60 (17977) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 6.13/6.60 Z ), ! doDivides0( Y, X ), alpha11( X, Y ) }.
% 6.13/6.60 (17978) {G0,W7,D3,L2,V4,M2} { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z
% 6.13/6.60 , T ) ) }.
% 6.13/6.60 (17979) {G0,W10,D4,L2,V2,M2} { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X
% 6.13/6.60 , Y ) ) }.
% 6.13/6.60 (17980) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 6.13/6.60 (17981) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 6.13/6.60 Z ), ! doDivides0( Y, X ), alpha9( X, Y ) }.
% 6.13/6.60 (17982) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha10( X ) }.
% 6.13/6.60 (17983) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 6.13/6.60 (17984) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), isPrime0( X ), alpha7( X )
% 6.13/6.60 }.
% 6.13/6.60 (17985) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), alpha12( X ), alpha13( X )
% 6.13/6.60 }.
% 6.13/6.60 (17986) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha10( X ) }.
% 6.13/6.60 (17987) {G0,W4,D2,L2,V1,M2} { ! alpha13( X ), alpha10( X ) }.
% 6.13/6.60 (17988) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), alpha14( X, skol7( X ) ) }.
% 6.13/6.60 (17989) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), ! skol7( X ) = X }.
% 6.13/6.60 (17990) {G0,W8,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = X, alpha13( X ) }.
% 6.13/6.60 (17991) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 6.13/6.60 (17992) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), ! Y = sz10 }.
% 6.13/6.60 (17993) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), Y = sz10, alpha14( X, Y )
% 6.13/6.60 }.
% 6.13/6.60 (17994) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha16( X, Y ) }.
% 6.13/6.60 (17995) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), doDivides0( Y, X ) }.
% 6.13/6.60 (17996) {G0,W9,D2,L3,V2,M3} { ! alpha16( X, Y ), ! doDivides0( Y, X ),
% 6.13/6.60 alpha15( X, Y ) }.
% 6.13/6.60 (17997) {G0,W5,D2,L2,V2,M2} { ! alpha16( X, Y ), aNaturalNumber0( Y ) }.
% 6.13/6.60 (17998) {G0,W7,D3,L2,V4,M2} { ! alpha16( X, Y ), aNaturalNumber0( skol8( Z
% 6.13/6.60 , T ) ) }.
% 6.13/6.60 (17999) {G0,W10,D4,L2,V2,M2} { ! alpha16( X, Y ), X = sdtasdt0( Y, skol8(
% 6.13/6.60 X, Y ) ) }.
% 6.13/6.60 (18000) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 6.13/6.60 Z ), ! X = sdtasdt0( Y, Z ), alpha16( X, Y ) }.
% 6.13/6.60 (18001) {G0,W8,D2,L3,V1,M3} { ! alpha12( X ), X = sz00, X = sz10 }.
% 6.13/6.60 (18002) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha12( X ) }.
% 6.13/6.60 (18003) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha12( X ) }.
% 6.13/6.60 (18004) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 6.13/6.60 (18005) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 6.13/6.60 (18006) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 6.13/6.60 Y ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 6.13/6.60 (18007) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 6.13/6.60 ), X = sz10, X = xp }.
% 6.13/6.60 (18008) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 6.13/6.60 (18009) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 6.13/6.60 (18010) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 )
% 6.13/6.60 }.
% 6.13/6.60 (18011) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 6.13/6.60 (18012) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 6.13/6.60 = xn }.
% 6.13/6.60 (18013) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 6.13/6.60 (18014) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 6.13/6.60 = xm }.
% 6.13/6.60 (18015) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 6.13/6.60 (18016) {G0,W14,D3,L5,V1,M5} { xn = xp, alpha8, xm = xp, ! aNaturalNumber0
% 6.13/6.60 ( X ), ! sdtpldt0( xm, X ) = xp }.
% 6.13/6.60 (18017) {G0,W10,D2,L4,V0,M4} { xn = xp, alpha8, xm = xp, ! sdtlseqdt0( xm
% 6.13/6.60 , xp ) }.
% 6.13/6.60 (18018) {G0,W8,D3,L3,V1,M3} { ! alpha8, ! aNaturalNumber0( X ), ! sdtpldt0
% 6.13/6.60 ( xn, X ) = xp }.
% 6.13/6.60 (18019) {G0,W4,D2,L2,V0,M2} { ! alpha8, ! sdtlseqdt0( xn, xp ) }.
% 6.13/6.60 (18020) {G0,W6,D2,L3,V0,M3} { aNaturalNumber0( skol10 ), sdtlseqdt0( xn,
% 6.13/6.60 xp ), alpha8 }.
% 6.13/6.60 (18021) {G0,W9,D3,L3,V0,M3} { sdtpldt0( xn, skol10 ) = xp, sdtlseqdt0( xn
% 6.13/6.60 , xp ), alpha8 }.
% 6.13/6.60 (18022) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xp
% 6.13/6.61 , X ) }.
% 6.13/6.61 (18023) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xn ) }.
% 6.13/6.61 (18024) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xp
% 6.13/6.61 , X ) }.
% 6.13/6.61 (18025) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xm ) }.
% 6.13/6.61
% 6.13/6.61
% 6.13/6.61 Total Proof:
% 6.13/6.61
% 6.13/6.61 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 6.13/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 6.13/6.61 parent0: (17921) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 6.13/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 6.13/6.61 substitution0:
% 6.13/6.61 X := X
% 6.13/6.61 Y := Y
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 1 ==> 1
% 6.13/6.61 2 ==> 2
% 6.13/6.61 3 ==> 3
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 subsumption: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 6.13/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 6.13/6.61 parent0: (17922) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 6.13/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 X := X
% 6.13/6.61 Y := Y
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 1 ==> 1
% 6.13/6.61 2 ==> 2
% 6.13/6.61 3 ==> 3
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 subsumption: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 6.13/6.61 parent0: (17969) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 subsumption: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 6.13/6.61 parent0: (17970) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 6.13/6.61 parent0: (17971) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 subsumption: (125) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 6.13/6.61 parent0: (18013) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 subsumption: (127) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 6.13/6.61 parent0: (18015) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 eqswap: (21159) {G0,W10,D2,L4,V0,M4} { xp = xm, xn = xp, alpha8, !
% 6.13/6.61 sdtlseqdt0( xm, xp ) }.
% 6.13/6.61 parent0[2]: (18017) {G0,W10,D2,L4,V0,M4} { xn = xp, alpha8, xm = xp, !
% 6.13/6.61 sdtlseqdt0( xm, xp ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 eqswap: (21160) {G0,W10,D2,L4,V0,M4} { xp = xn, xp = xm, alpha8, !
% 6.13/6.61 sdtlseqdt0( xm, xp ) }.
% 6.13/6.61 parent0[1]: (21159) {G0,W10,D2,L4,V0,M4} { xp = xm, xn = xp, alpha8, !
% 6.13/6.61 sdtlseqdt0( xm, xp ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 subsumption: (129) {G0,W10,D2,L4,V0,M4} I { xp ==> xn, alpha8, xp ==> xm, !
% 6.13/6.61 sdtlseqdt0( xm, xp ) }.
% 6.13/6.61 parent0: (21160) {G0,W10,D2,L4,V0,M4} { xp = xn, xp = xm, alpha8, !
% 6.13/6.61 sdtlseqdt0( xm, xp ) }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 1 ==> 2
% 6.13/6.61 2 ==> 1
% 6.13/6.61 3 ==> 3
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 *** allocated 1297440 integers for clauses
% 6.13/6.61 subsumption: (131) {G0,W4,D2,L2,V0,M2} I { ! alpha8, ! sdtlseqdt0( xn, xp )
% 6.13/6.61 }.
% 6.13/6.61 parent0: (18019) {G0,W4,D2,L2,V0,M2} { ! alpha8, ! sdtlseqdt0( xn, xp )
% 6.13/6.61 }.
% 6.13/6.61 substitution0:
% 6.13/6.61 end
% 6.13/6.61 permutation0:
% 6.13/6.61 0 ==> 0
% 6.13/6.61 1 ==> 1
% 6.13/6.61 end
% 6.13/6.61
% 6.13/6.61 eqswap: (21663) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 6.13/6.61 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 6.13/6.61 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 6.13/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 6.23/6.61 substitution0:
% 6.23/6.61 X := Y
% 6.23/6.61 Y := X
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21664) {G1,W7,D2,L3,V0,M3} { ! xp = xn, ! aNaturalNumber0( xp
% 6.23/6.61 ), ! aNaturalNumber0( xn ) }.
% 6.23/6.61 parent0[0]: (125) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 6.23/6.61 parent1[3]: (21663) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 6.23/6.61 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 X := xn
% 6.23/6.61 Y := xp
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21665) {G1,W5,D2,L2,V0,M2} { ! xp = xn, ! aNaturalNumber0( xn
% 6.23/6.61 ) }.
% 6.23/6.61 parent0[1]: (21664) {G1,W7,D2,L3,V0,M3} { ! xp = xn, ! aNaturalNumber0( xp
% 6.23/6.61 ), ! aNaturalNumber0( xn ) }.
% 6.23/6.61 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2849) {G1,W5,D2,L2,V0,M2} R(34,125);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xn ), ! xp ==> xn }.
% 6.23/6.61 parent0: (21665) {G1,W5,D2,L2,V0,M2} { ! xp = xn, ! aNaturalNumber0( xn )
% 6.23/6.61 }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 1
% 6.23/6.61 1 ==> 0
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 eqswap: (21667) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 6.23/6.61 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 6.23/6.61 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 6.23/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 6.23/6.61 substitution0:
% 6.23/6.61 X := Y
% 6.23/6.61 Y := X
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21668) {G1,W7,D2,L3,V0,M3} { ! xp = xm, ! aNaturalNumber0( xp
% 6.23/6.61 ), ! aNaturalNumber0( xm ) }.
% 6.23/6.61 parent0[0]: (127) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 6.23/6.61 parent1[3]: (21667) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 6.23/6.61 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 X := xm
% 6.23/6.61 Y := xp
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21669) {G1,W5,D2,L2,V0,M2} { ! xp = xm, ! aNaturalNumber0( xm
% 6.23/6.61 ) }.
% 6.23/6.61 parent0[1]: (21668) {G1,W7,D2,L3,V0,M3} { ! xp = xm, ! aNaturalNumber0( xp
% 6.23/6.61 ), ! aNaturalNumber0( xm ) }.
% 6.23/6.61 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2850) {G1,W5,D2,L2,V0,M2} R(34,127);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xm ), ! xp ==> xm }.
% 6.23/6.61 parent0: (21669) {G1,W5,D2,L2,V0,M2} { ! xp = xm, ! aNaturalNumber0( xm )
% 6.23/6.61 }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 1
% 6.23/6.61 1 ==> 0
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21672) {G1,W3,D2,L1,V0,M1} { ! xp ==> xn }.
% 6.23/6.61 parent0[0]: (2849) {G1,W5,D2,L2,V0,M2} R(34,125);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xn ), ! xp ==> xn }.
% 6.23/6.61 parent1[0]: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2887) {G2,W3,D2,L1,V0,M1} S(2849);r(81) { ! xp ==> xn }.
% 6.23/6.61 parent0: (21672) {G1,W3,D2,L1,V0,M1} { ! xp ==> xn }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 0
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21675) {G1,W3,D2,L1,V0,M1} { ! xp ==> xm }.
% 6.23/6.61 parent0[0]: (2850) {G1,W5,D2,L2,V0,M2} R(34,127);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xm ), ! xp ==> xm }.
% 6.23/6.61 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2897) {G2,W3,D2,L1,V0,M1} S(2850);r(82) { ! xp ==> xm }.
% 6.23/6.61 parent0: (21675) {G1,W3,D2,L1,V0,M1} { ! xp ==> xm }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 0
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21677) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 6.23/6.61 aNaturalNumber0( xn ), sdtlseqdt0( xn, xp ) }.
% 6.23/6.61 parent0[0]: (125) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xn ) }.
% 6.23/6.61 parent1[2]: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 6.23/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 X := xp
% 6.23/6.61 Y := xn
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21678) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xn ),
% 6.23/6.61 sdtlseqdt0( xn, xp ) }.
% 6.23/6.61 parent0[0]: (21677) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 6.23/6.61 aNaturalNumber0( xn ), sdtlseqdt0( xn, xp ) }.
% 6.23/6.61 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2929) {G1,W5,D2,L2,V0,M2} R(35,125);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xn ), sdtlseqdt0( xn, xp ) }.
% 6.23/6.61 parent0: (21678) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xn ), sdtlseqdt0
% 6.23/6.61 ( xn, xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 0
% 6.23/6.61 1 ==> 1
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21679) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 6.23/6.61 aNaturalNumber0( xm ), sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent0[0]: (127) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xm ) }.
% 6.23/6.61 parent1[2]: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 6.23/6.61 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 X := xp
% 6.23/6.61 Y := xm
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21680) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xm ),
% 6.23/6.61 sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent0[0]: (21679) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 6.23/6.61 aNaturalNumber0( xm ), sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2931) {G1,W5,D2,L2,V0,M2} R(35,127);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xm ), sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent0: (21680) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xm ), sdtlseqdt0
% 6.23/6.61 ( xm, xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 0
% 6.23/6.61 1 ==> 1
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21681) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 6.23/6.61 parent0[0]: (2929) {G1,W5,D2,L2,V0,M2} R(35,125);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xn ), sdtlseqdt0( xn, xp ) }.
% 6.23/6.61 parent1[0]: (81) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xn ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2947) {G2,W3,D2,L1,V0,M1} S(2929);r(81) { sdtlseqdt0( xn, xp
% 6.23/6.61 ) }.
% 6.23/6.61 parent0: (21681) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 0
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21682) {G1,W1,D1,L1,V0,M1} { ! alpha8 }.
% 6.23/6.61 parent0[1]: (131) {G0,W4,D2,L2,V0,M2} I { ! alpha8, ! sdtlseqdt0( xn, xp )
% 6.23/6.61 }.
% 6.23/6.61 parent1[0]: (2947) {G2,W3,D2,L1,V0,M1} S(2929);r(81) { sdtlseqdt0( xn, xp )
% 6.23/6.61 }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (2954) {G3,W1,D1,L1,V0,M1} R(2947,131) { ! alpha8 }.
% 6.23/6.61 parent0: (21682) {G1,W1,D1,L1,V0,M1} { ! alpha8 }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 0
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21683) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent0[0]: (2931) {G1,W5,D2,L2,V0,M2} R(35,127);r(83) { ! aNaturalNumber0
% 6.23/6.61 ( xm ), sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent1[0]: (82) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (3342) {G2,W3,D2,L1,V0,M1} S(2931);r(82) { sdtlseqdt0( xm, xp
% 6.23/6.61 ) }.
% 6.23/6.61 parent0: (21683) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 0 ==> 0
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21689) {G1,W7,D2,L3,V0,M3} { alpha8, xp ==> xm, ! sdtlseqdt0
% 6.23/6.61 ( xm, xp ) }.
% 6.23/6.61 parent0[0]: (2887) {G2,W3,D2,L1,V0,M1} S(2849);r(81) { ! xp ==> xn }.
% 6.23/6.61 parent1[0]: (129) {G0,W10,D2,L4,V0,M4} I { xp ==> xn, alpha8, xp ==> xm, !
% 6.23/6.61 sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21690) {G2,W6,D2,L2,V0,M2} { xp ==> xm, ! sdtlseqdt0( xm, xp
% 6.23/6.61 ) }.
% 6.23/6.61 parent0[0]: (2954) {G3,W1,D1,L1,V0,M1} R(2947,131) { ! alpha8 }.
% 6.23/6.61 parent1[0]: (21689) {G1,W7,D2,L3,V0,M3} { alpha8, xp ==> xm, ! sdtlseqdt0
% 6.23/6.61 ( xm, xp ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21691) {G3,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent0[0]: (2897) {G2,W3,D2,L1,V0,M1} S(2850);r(82) { ! xp ==> xm }.
% 6.23/6.61 parent1[0]: (21690) {G2,W6,D2,L2,V0,M2} { xp ==> xm, ! sdtlseqdt0( xm, xp
% 6.23/6.61 ) }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 resolution: (21692) {G3,W0,D0,L0,V0,M0} { }.
% 6.23/6.61 parent0[0]: (21691) {G3,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xm, xp ) }.
% 6.23/6.61 parent1[0]: (3342) {G2,W3,D2,L1,V0,M1} S(2931);r(82) { sdtlseqdt0( xm, xp )
% 6.23/6.61 }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 substitution1:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 subsumption: (17885) {G4,W0,D0,L0,V0,M0} S(129);r(2887);r(2954);r(2897);r(
% 6.23/6.61 3342) { }.
% 6.23/6.61 parent0: (21692) {G3,W0,D0,L0,V0,M0} { }.
% 6.23/6.61 substitution0:
% 6.23/6.61 end
% 6.23/6.61 permutation0:
% 6.23/6.61 end
% 6.23/6.61
% 6.23/6.61 Proof check complete!
% 6.23/6.61
% 6.23/6.61 Memory use:
% 6.23/6.61
% 6.23/6.61 space for terms: 388709
% 6.23/6.61 space for clauses: 785688
% 6.23/6.61
% 6.23/6.61
% 6.23/6.61 clauses generated: 125738
% 6.23/6.61 clauses kept: 17886
% 6.23/6.61 clauses selected: 476
% 6.23/6.61 clauses deleted: 32
% 6.23/6.61 clauses inuse deleted: 12
% 6.23/6.61
% 6.23/6.61 subsentry: 337019
% 6.23/6.61 literals s-matched: 194463
% 6.23/6.61 literals matched: 160026
% 6.23/6.61 full subsumption: 126833
% 6.23/6.61
% 6.23/6.61 checksum: -2125172230
% 6.23/6.61
% 6.23/6.61
% 6.23/6.61 Bliksem ended
%------------------------------------------------------------------------------