TSTP Solution File: NUM505+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 06:23:00 EDT 2022
% Result : Theorem 7.50s 7.89s
% Output : Refutation 7.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.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 13:46:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.14 *** allocated 10000 integers for termspace/termends
% 0.72/1.14 *** allocated 10000 integers for clauses
% 0.72/1.14 *** allocated 10000 integers for justifications
% 0.72/1.14 Bliksem 1.12
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Automatic Strategy Selection
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Clauses:
% 0.72/1.14
% 0.72/1.14 { && }.
% 0.72/1.14 { aNaturalNumber0( sz00 ) }.
% 0.72/1.14 { aNaturalNumber0( sz10 ) }.
% 0.72/1.14 { ! sz10 = sz00 }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.72/1.14 ( X, Y ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.72/1.14 ( X, Y ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.72/1.14 sdtpldt0( Y, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.14 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.72/1.14 sdtasdt0( Y, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.14 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.72/1.14 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.14 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.72/1.14 , Z ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.14 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.72/1.14 , X ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.72/1.14 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.72/1.14 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.72/1.14 , X = sz00 }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.72/1.14 , Y = sz00 }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.72/1.14 , X = sz00, Y = sz00 }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.72/1.14 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.72/1.14 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.72/1.14 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.72/1.14 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.72/1.14 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.72/1.14 sdtlseqdt0( Y, X ), X = Y }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.72/1.14 X }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.72/1.14 sdtlseqdt0( Y, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.72/1.14 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.72/1.14 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.72/1.14 ) ) }.
% 0.72/1.14 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.72/1.14 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.72/1.14 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.72/1.14 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.72/1.14 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.72/1.14 ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.72/1.14 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.72/1.14 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.72/1.14 sdtasdt0( Z, X ) ) }.
% 0.72/1.14 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.72/1.14 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.72/1.14 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.72/1.14 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.72/1.14 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.72/1.14 ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.72/1.14 sdtasdt0( Y, X ) ) }.
% 0.72/1.14 { && }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.72/1.14 ), iLess0( X, Y ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.72/1.14 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.72/1.14 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.14 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.14 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.14 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.72/1.14 ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.72/1.14 ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.14 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.72/1.14 Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.72/1.14 sz00, sdtlseqdt0( X, Y ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.14 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.72/1.14 ( sdtasdt0( Z, Y ), X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.72/1.14 { ! alpha1( X ), ! X = sz10 }.
% 0.72/1.14 { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.14 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.72/1.14 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.72/1.14 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.72/1.14 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.72/1.14 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.72/1.14 { ! Y = sz10, alpha4( X, Y ) }.
% 0.72/1.14 { ! Y = X, alpha4( X, Y ) }.
% 0.72/1.14 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.72/1.14 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.72/1.14 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.72/1.14 }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.72/1.14 .
% 0.72/1.14 { aNaturalNumber0( xn ) }.
% 0.72/1.14 { aNaturalNumber0( xm ) }.
% 0.72/1.14 { aNaturalNumber0( xp ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.14 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.72/1.14 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.72/1.14 ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.72/1.14 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.14 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 2.02/2.40 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z
% 2.02/2.40 ), alpha10( Y, Z ) }.
% 2.02/2.40 { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 2.02/2.40 { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 2.02/2.40 { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 2.02/2.40 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 2.02/2.40 alpha10( X, Y ) }.
% 2.02/2.40 { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 2.02/2.40 { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 2.02/2.40 { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 2.02/2.40 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 2.02/2.40 alpha8( X, Y ) }.
% 2.02/2.40 { ! alpha7( X ), alpha9( X ) }.
% 2.02/2.40 { ! alpha7( X ), ! isPrime0( X ) }.
% 2.02/2.40 { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 2.02/2.40 { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 2.02/2.40 { ! alpha11( X ), alpha9( X ) }.
% 2.02/2.40 { ! alpha12( X ), alpha9( X ) }.
% 2.02/2.40 { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 2.02/2.40 { ! alpha12( X ), ! skol7( X ) = X }.
% 2.02/2.40 { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 2.02/2.40 { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 2.02/2.40 { ! alpha13( X, Y ), ! Y = sz10 }.
% 2.02/2.40 { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y ) }.
% 2.02/2.40 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 2.02/2.40 { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 2.02/2.40 { ! alpha15( X, Y ), ! doDivides0( Y, X ), alpha14( X, Y ) }.
% 2.02/2.40 { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 2.02/2.40 { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 2.02/2.40 { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 2.02/2.40 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 2.02/2.40 alpha15( X, Y ) }.
% 2.02/2.40 { ! alpha11( X ), X = sz00, X = sz10 }.
% 2.02/2.40 { ! X = sz00, alpha11( X ) }.
% 2.02/2.40 { ! X = sz10, alpha11( X ) }.
% 2.02/2.40 { ! xp = sz00 }.
% 2.02/2.40 { ! xp = sz10 }.
% 2.02/2.40 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 2.02/2.40 X = sz10, X = xp }.
% 2.02/2.40 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 2.02/2.40 { isPrime0( xp ) }.
% 2.02/2.40 { aNaturalNumber0( skol9 ) }.
% 2.02/2.40 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 2.02/2.40 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 2.02/2.40 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 2.02/2.40 { ! sdtlseqdt0( xp, xn ) }.
% 2.02/2.40 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 2.02/2.40 { ! sdtlseqdt0( xp, xm ) }.
% 2.02/2.40 { ! xn = xp }.
% 2.02/2.40 { aNaturalNumber0( skol10 ) }.
% 2.02/2.40 { sdtpldt0( xn, skol10 ) = xp }.
% 2.02/2.40 { sdtlseqdt0( xn, xp ) }.
% 2.02/2.40 { ! xm = xp }.
% 2.02/2.40 { aNaturalNumber0( skol13 ) }.
% 2.02/2.40 { sdtpldt0( xm, skol13 ) = xp }.
% 2.02/2.40 { sdtlseqdt0( xm, xp ) }.
% 2.02/2.40 { aNaturalNumber0( xk ) }.
% 2.02/2.40 { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 2.02/2.40 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 2.02/2.40 { ! xk = sz00 }.
% 2.02/2.40 { ! xk = sz10 }.
% 2.02/2.40 { ! xk = sz00 }.
% 2.02/2.40 { ! xk = sz10 }.
% 2.02/2.40 { aNaturalNumber0( xr ) }.
% 2.02/2.40 { aNaturalNumber0( skol11 ) }.
% 2.02/2.40 { xk = sdtasdt0( xr, skol11 ) }.
% 2.02/2.40 { doDivides0( xr, xk ) }.
% 2.02/2.40 { ! xr = sz00 }.
% 2.02/2.40 { ! xr = sz10 }.
% 2.02/2.40 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xr = sdtasdt0( X, Y ),
% 2.02/2.40 X = sz10, X = xr }.
% 2.02/2.40 { ! aNaturalNumber0( X ), ! doDivides0( X, xr ), X = sz10, X = xr }.
% 2.02/2.40 { isPrime0( xr ) }.
% 2.02/2.40 { aNaturalNumber0( skol12 ) }.
% 2.02/2.40 { sdtpldt0( xr, skol12 ) = xk }.
% 2.02/2.40 { aNaturalNumber0( skol14 ) }.
% 2.02/2.40 { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol14 ) }.
% 2.02/2.40 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 2.02/2.40 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xk }.
% 2.02/2.40 { ! sdtlseqdt0( xp, xk ) }.
% 2.02/2.40 { xk = xp, ! aNaturalNumber0( X ), ! sdtpldt0( xk, X ) = xp }.
% 2.02/2.40 { xk = xp, ! sdtlseqdt0( xk, xp ) }.
% 2.02/2.40
% 2.02/2.40 percentage equality = 0.292576, percentage horn = 0.767296
% 2.02/2.40 This is a problem with some equality
% 2.02/2.40
% 2.02/2.40
% 2.02/2.40
% 2.02/2.40 Options Used:
% 2.02/2.40
% 2.02/2.40 useres = 1
% 2.02/2.40 useparamod = 1
% 2.02/2.40 useeqrefl = 1
% 2.02/2.40 useeqfact = 1
% 2.02/2.40 usefactor = 1
% 2.02/2.40 usesimpsplitting = 0
% 2.02/2.40 usesimpdemod = 5
% 2.02/2.40 usesimpres = 3
% 2.02/2.40
% 2.02/2.40 resimpinuse = 1000
% 2.02/2.40 resimpclauses = 20000
% 2.02/2.40 substype = eqrewr
% 2.02/2.40 backwardsubs = 1
% 2.02/2.40 selectoldest = 5
% 2.02/2.40
% 2.02/2.40 litorderings [0] = split
% 2.02/2.40 litorderings [1] = extend the termordering, first sorting on arguments
% 2.02/2.40
% 2.02/2.40 termordering = kbo
% 2.02/2.40
% 2.02/2.40 litapriori = 0
% 2.02/2.40 termapriori = 1
% 2.02/2.40 litaposteriori = 0
% 2.02/2.40 termaposteriori = 0
% 2.02/2.40 demodaposteriori = 0
% 2.02/2.40 ordereqreflfact = 0
% 2.02/2.40
% 2.02/2.40 litselect = negord
% 2.02/2.40
% 2.02/2.40 maxweight = 15
% 2.02/2.40 maxdepth = 30000
% 2.02/2.40 maxlength = 115
% 2.02/2.40 maxnrvars = 195
% 2.02/2.40 excuselevel = 1
% 2.02/2.40 increasemaxweight = 1
% 2.02/2.40
% 2.02/2.40 maxselected = 10000000
% 2.02/2.40 maxnrclauses = 10000000
% 7.50/7.89
% 7.50/7.89 showgenerated = 0
% 7.50/7.89 showkept = 0
% 7.50/7.89 showselected = 0
% 7.50/7.89 showdeleted = 0
% 7.50/7.89 showresimp = 1
% 7.50/7.89 showstatus = 2000
% 7.50/7.89
% 7.50/7.89 prologoutput = 0
% 7.50/7.89 nrgoals = 5000000
% 7.50/7.89 totalproof = 1
% 7.50/7.89
% 7.50/7.89 Symbols occurring in the translation:
% 7.50/7.89
% 7.50/7.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.50/7.89 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 7.50/7.89 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 7.50/7.89 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 7.50/7.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.50/7.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.50/7.89 aNaturalNumber0 [36, 1] (w:1, o:29, a:1, s:1, b:0),
% 7.50/7.89 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 7.50/7.89 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 7.50/7.89 sdtpldt0 [40, 2] (w:1, o:64, a:1, s:1, b:0),
% 7.50/7.89 sdtasdt0 [41, 2] (w:1, o:65, a:1, s:1, b:0),
% 7.50/7.89 sdtlseqdt0 [43, 2] (w:1, o:66, a:1, s:1, b:0),
% 7.50/7.89 sdtmndt0 [44, 2] (w:1, o:67, a:1, s:1, b:0),
% 7.50/7.89 iLess0 [45, 2] (w:1, o:68, a:1, s:1, b:0),
% 7.50/7.89 doDivides0 [46, 2] (w:1, o:69, a:1, s:1, b:0),
% 7.50/7.89 sdtsldt0 [47, 2] (w:1, o:70, a:1, s:1, b:0),
% 7.50/7.89 isPrime0 [48, 1] (w:1, o:30, a:1, s:1, b:0),
% 7.50/7.89 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 7.50/7.89 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 7.50/7.89 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 7.50/7.89 xk [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 7.50/7.89 xr [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 7.50/7.89 alpha1 [56, 1] (w:1, o:31, a:1, s:1, b:1),
% 7.50/7.89 alpha2 [57, 1] (w:1, o:34, a:1, s:1, b:1),
% 7.50/7.89 alpha3 [58, 2] (w:1, o:71, a:1, s:1, b:1),
% 7.50/7.89 alpha4 [59, 2] (w:1, o:72, a:1, s:1, b:1),
% 7.50/7.89 alpha5 [60, 3] (w:1, o:83, a:1, s:1, b:1),
% 7.50/7.89 alpha6 [61, 3] (w:1, o:84, a:1, s:1, b:1),
% 7.50/7.89 alpha7 [62, 1] (w:1, o:35, a:1, s:1, b:1),
% 7.50/7.89 alpha8 [63, 2] (w:1, o:73, a:1, s:1, b:1),
% 7.50/7.89 alpha9 [64, 1] (w:1, o:36, a:1, s:1, b:1),
% 7.50/7.89 alpha10 [65, 2] (w:1, o:74, a:1, s:1, b:1),
% 7.50/7.89 alpha11 [66, 1] (w:1, o:32, a:1, s:1, b:1),
% 7.50/7.89 alpha12 [67, 1] (w:1, o:33, a:1, s:1, b:1),
% 7.50/7.89 alpha13 [68, 2] (w:1, o:75, a:1, s:1, b:1),
% 7.50/7.89 alpha14 [69, 2] (w:1, o:76, a:1, s:1, b:1),
% 7.50/7.89 alpha15 [70, 2] (w:1, o:77, a:1, s:1, b:1),
% 7.50/7.89 skol1 [71, 2] (w:1, o:78, a:1, s:1, b:1),
% 7.50/7.89 skol2 [72, 2] (w:1, o:79, a:1, s:1, b:1),
% 7.50/7.89 skol3 [73, 1] (w:1, o:37, a:1, s:1, b:1),
% 7.50/7.89 skol4 [74, 1] (w:1, o:38, a:1, s:1, b:1),
% 7.50/7.89 skol5 [75, 2] (w:1, o:80, a:1, s:1, b:1),
% 7.50/7.89 skol6 [76, 2] (w:1, o:81, a:1, s:1, b:1),
% 7.50/7.89 skol7 [77, 1] (w:1, o:39, a:1, s:1, b:1),
% 7.50/7.89 skol8 [78, 2] (w:1, o:82, a:1, s:1, b:1),
% 7.50/7.89 skol9 [79, 0] (w:1, o:18, a:1, s:1, b:1),
% 7.50/7.89 skol10 [80, 0] (w:1, o:19, a:1, s:1, b:1),
% 7.50/7.89 skol11 [81, 0] (w:1, o:20, a:1, s:1, b:1),
% 7.50/7.89 skol12 [82, 0] (w:1, o:21, a:1, s:1, b:1),
% 7.50/7.89 skol13 [83, 0] (w:1, o:22, a:1, s:1, b:1),
% 7.50/7.89 skol14 [84, 0] (w:1, o:23, a:1, s:1, b:1).
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Starting Search:
% 7.50/7.89
% 7.50/7.89 *** allocated 15000 integers for clauses
% 7.50/7.89 *** allocated 22500 integers for clauses
% 7.50/7.89 *** allocated 33750 integers for clauses
% 7.50/7.89 *** allocated 15000 integers for termspace/termends
% 7.50/7.89 *** allocated 50625 integers for clauses
% 7.50/7.89 *** allocated 75937 integers for clauses
% 7.50/7.89 *** allocated 22500 integers for termspace/termends
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 113905 integers for clauses
% 7.50/7.89 *** allocated 33750 integers for termspace/termends
% 7.50/7.89 *** allocated 50625 integers for termspace/termends
% 7.50/7.89 *** allocated 170857 integers for clauses
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 9327
% 7.50/7.89 Kept: 2023
% 7.50/7.89 Inuse: 116
% 7.50/7.89 Deleted: 0
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 75937 integers for termspace/termends
% 7.50/7.89 *** allocated 256285 integers for clauses
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 113905 integers for termspace/termends
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 21872
% 7.50/7.89 Kept: 4292
% 7.50/7.89 Inuse: 173
% 7.50/7.89 Deleted: 3
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 384427 integers for clauses
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 170857 integers for termspace/termends
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 42495
% 7.50/7.89 Kept: 6298
% 7.50/7.89 Inuse: 215
% 7.50/7.89 Deleted: 5
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 576640 integers for clauses
% 7.50/7.89 *** allocated 256285 integers for termspace/termends
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 56330
% 7.50/7.89 Kept: 8412
% 7.50/7.89 Inuse: 245
% 7.50/7.89 Deleted: 7
% 7.50/7.89 Deletedinuse: 1
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 75324
% 7.50/7.89 Kept: 10611
% 7.50/7.89 Inuse: 274
% 7.50/7.89 Deleted: 9
% 7.50/7.89 Deletedinuse: 2
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 384427 integers for termspace/termends
% 7.50/7.89 *** allocated 864960 integers for clauses
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 93490
% 7.50/7.89 Kept: 13892
% 7.50/7.89 Inuse: 339
% 7.50/7.89 Deleted: 11
% 7.50/7.89 Deletedinuse: 4
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 113186
% 7.50/7.89 Kept: 16015
% 7.50/7.89 Inuse: 379
% 7.50/7.89 Deleted: 11
% 7.50/7.89 Deletedinuse: 4
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 576640 integers for termspace/termends
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 122479
% 7.50/7.89 Kept: 18666
% 7.50/7.89 Inuse: 449
% 7.50/7.89 Deleted: 13
% 7.50/7.89 Deletedinuse: 6
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 *** allocated 1297440 integers for clauses
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying clauses:
% 7.50/7.89
% 7.50/7.89 Bliksems!, er is een bewijs:
% 7.50/7.89 % SZS status Theorem
% 7.50/7.89 % SZS output start Refutation
% 7.50/7.89
% 7.50/7.89 (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 7.50/7.89 (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 7.50/7.89 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 7.50/7.89 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 7.50/7.89 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 7.50/7.89 (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 7.50/7.89 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 7.50/7.89 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 7.50/7.89 (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 7.50/7.89 (156) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xk ) }.
% 7.50/7.89 (158) {G0,W6,D2,L2,V0,M2} I { xk ==> xp, ! sdtlseqdt0( xk, xp ) }.
% 7.50/7.89 (692) {G1,W3,D2,L1,V0,M1} R(31,83) { sdtlseqdt0( xp, xp ) }.
% 7.50/7.89 (3584) {G1,W5,D2,L2,V0,M2} R(34,156);r(83) { ! aNaturalNumber0( xk ), ! xk
% 7.50/7.89 ==> xp }.
% 7.50/7.89 (3749) {G1,W5,D2,L2,V0,M2} R(35,156);r(83) { ! aNaturalNumber0( xk ),
% 7.50/7.89 sdtlseqdt0( xk, xp ) }.
% 7.50/7.89 (3863) {G2,W3,D2,L1,V0,M1} S(3749);r(136) { sdtlseqdt0( xk, xp ) }.
% 7.50/7.89 (4362) {G2,W3,D2,L1,V0,M1} S(3584);r(136) { ! xk ==> xp }.
% 7.50/7.89 (4693) {G3,W11,D2,L4,V1,M4} P(32,4362);r(136) { ! X = xp, ! aNaturalNumber0
% 7.50/7.89 ( X ), ! sdtlseqdt0( xk, X ), ! sdtlseqdt0( X, xk ) }.
% 7.50/7.89 (4702) {G4,W6,D2,L2,V0,M2} Q(4693);d(158);r(83) { ! sdtlseqdt0( xk, xp ), !
% 7.50/7.89 sdtlseqdt0( xp, xp ) }.
% 7.50/7.89 (21098) {G5,W0,D0,L0,V0,M0} S(4702);r(3863);r(692) { }.
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 % SZS output end Refutation
% 7.50/7.89 found a proof!
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Unprocessed initial clauses:
% 7.50/7.89
% 7.50/7.89 (21100) {G0,W1,D1,L1,V0,M1} { && }.
% 7.50/7.89 (21101) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 7.50/7.89 (21102) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 7.50/7.89 (21103) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 7.50/7.89 (21104) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 7.50/7.89 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 7.50/7.89 (21105) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 7.50/7.89 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 7.50/7.89 (21106) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 7.50/7.89 (21107) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 7.50/7.89 X, sdtpldt0( Y, Z ) ) }.
% 7.50/7.89 (21108) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 7.50/7.89 = X }.
% 7.50/7.89 (21109) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 7.50/7.89 X ) }.
% 7.50/7.89 (21110) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 7.50/7.89 (21111) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 7.50/7.89 X, sdtasdt0( Y, Z ) ) }.
% 7.50/7.89 (21112) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 7.50/7.89 = X }.
% 7.50/7.89 (21113) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 7.50/7.89 X ) }.
% 7.50/7.89 (21114) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 7.50/7.89 = sz00 }.
% 7.50/7.89 (21115) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 7.50/7.89 sz00, X ) }.
% 7.50/7.89 (21116) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 7.50/7.89 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 7.50/7.89 (21117) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 7.50/7.89 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 7.50/7.89 (21118) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 7.50/7.89 }.
% 7.50/7.89 (21119) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 7.50/7.89 }.
% 7.50/7.89 (21120) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 7.50/7.89 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 7.50/7.89 sdtasdt0( X, Z ), Y = Z }.
% 7.50/7.89 (21121) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 7.50/7.89 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 7.50/7.89 sdtasdt0( Z, X ), Y = Z }.
% 7.50/7.89 (21122) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 7.50/7.89 (21123) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 7.50/7.89 (21124) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 7.50/7.89 (21125) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 7.50/7.89 (21126) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 7.50/7.89 (21127) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 7.50/7.89 }.
% 7.50/7.89 (21128) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 7.50/7.89 }.
% 7.50/7.89 (21129) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 7.50/7.89 }.
% 7.50/7.89 (21130) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 7.50/7.89 , Z = sdtmndt0( Y, X ) }.
% 7.50/7.89 (21131) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 7.50/7.89 }.
% 7.50/7.89 (21132) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 7.50/7.89 (21133) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 7.50/7.89 sdtlseqdt0( X, Z ) }.
% 7.50/7.89 (21134) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 7.50/7.89 (21135) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 7.50/7.89 (21136) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 7.50/7.89 ) }.
% 7.50/7.89 (21137) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 7.50/7.89 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 7.50/7.89 (21138) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 7.50/7.89 sdtpldt0( Z, Y ) }.
% 7.50/7.89 (21139) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 7.50/7.89 Z, X ), sdtpldt0( Z, Y ) ) }.
% 7.50/7.89 (21140) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 7.50/7.89 sdtpldt0( Y, Z ) }.
% 7.50/7.89 (21141) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 7.50/7.89 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 7.50/7.89 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 7.50/7.89 (21142) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 7.50/7.89 alpha6( X, Y, Z ) }.
% 7.50/7.89 (21143) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 7.50/7.89 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 7.50/7.89 (21144) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 7.50/7.89 sdtasdt0( X, Z ) }.
% 7.50/7.89 (21145) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 7.50/7.89 X, Y ), sdtasdt0( X, Z ) ) }.
% 7.50/7.89 (21146) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 7.50/7.89 sdtasdt0( Z, X ) }.
% 7.50/7.89 (21147) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 7.50/7.89 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 7.50/7.89 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 7.50/7.89 (21148) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 7.50/7.89 , ! sz10 = X }.
% 7.50/7.89 (21149) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 7.50/7.89 , sdtlseqdt0( sz10, X ) }.
% 7.50/7.89 (21150) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 7.50/7.89 (21151) {G0,W1,D1,L1,V0,M1} { && }.
% 7.50/7.89 (21152) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 7.50/7.89 (21153) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 7.50/7.89 (21154) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 7.50/7.89 (21155) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 7.50/7.89 }.
% 7.50/7.89 (21156) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 7.50/7.89 aNaturalNumber0( Z ) }.
% 7.50/7.89 (21157) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 7.50/7.89 ( X, Z ) }.
% 7.50/7.89 (21158) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 7.50/7.89 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 7.50/7.89 (21159) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 7.50/7.89 doDivides0( X, Z ) }.
% 7.50/7.89 (21160) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 7.50/7.89 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 7.50/7.89 (21161) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 7.50/7.89 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 7.50/7.89 (21162) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 7.50/7.89 (21163) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 7.50/7.89 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 7.50/7.89 (21164) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 7.50/7.89 = sz00 }.
% 7.50/7.89 (21165) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 7.50/7.89 alpha1( X ) }.
% 7.50/7.89 (21166) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 7.50/7.89 X ), isPrime0( X ) }.
% 7.50/7.89 (21167) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 7.50/7.89 (21168) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 7.50/7.89 (21169) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 7.50/7.89 (21170) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 7.50/7.89 Y ) }.
% 7.50/7.89 (21171) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 7.50/7.89 (21172) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 7.50/7.89 (21173) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 7.50/7.89 (21174) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 7.50/7.89 (21175) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 7.50/7.89 (21176) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 7.50/7.89 (21177) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 7.50/7.89 (21178) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 7.50/7.89 , alpha3( X, Y ) }.
% 7.50/7.89 (21179) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 7.50/7.89 , aNaturalNumber0( skol4( Y ) ) }.
% 7.50/7.89 (21180) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 7.50/7.89 , isPrime0( skol4( Y ) ) }.
% 7.50/7.89 (21181) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 7.50/7.89 , doDivides0( skol4( X ), X ) }.
% 7.50/7.89 (21182) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 7.50/7.89 (21183) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 7.50/7.89 (21184) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 7.50/7.89 (21185) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 7.50/7.89 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 7.50/7.89 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z ), alpha10( Y,
% 7.50/7.89 Z ) }.
% 7.50/7.89 (21186) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 7.50/7.89 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 7.50/7.89 xm ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 7.50/7.89 (21187) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z
% 7.50/7.89 , T ) ) }.
% 7.50/7.89 (21188) {G0,W10,D4,L2,V2,M2} { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5(
% 7.50/7.89 X, Y ) ) }.
% 7.50/7.89 (21189) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 7.50/7.89 (21190) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 7.50/7.89 Z ), ! doDivides0( Y, X ), alpha10( X, Y ) }.
% 7.50/7.89 (21191) {G0,W7,D3,L2,V4,M2} { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z
% 7.50/7.89 , T ) ) }.
% 7.50/7.89 (21192) {G0,W10,D4,L2,V2,M2} { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X
% 7.50/7.89 , Y ) ) }.
% 7.50/7.89 (21193) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 7.50/7.89 (21194) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 7.50/7.89 Z ), ! doDivides0( Y, X ), alpha8( X, Y ) }.
% 7.50/7.89 (21195) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha9( X ) }.
% 7.50/7.89 (21196) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 7.50/7.89 (21197) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), isPrime0( X ), alpha7( X )
% 7.50/7.89 }.
% 7.50/7.89 (21198) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), alpha11( X ), alpha12( X )
% 7.50/7.89 }.
% 7.50/7.89 (21199) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha9( X ) }.
% 7.50/7.89 (21200) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha9( X ) }.
% 7.50/7.89 (21201) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 7.50/7.89 (21202) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), ! skol7( X ) = X }.
% 7.50/7.89 (21203) {G0,W8,D2,L3,V2,M3} { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 7.50/7.89 (21204) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 7.50/7.89 (21205) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), ! Y = sz10 }.
% 7.50/7.89 (21206) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y )
% 7.50/7.89 }.
% 7.50/7.89 (21207) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 7.50/7.89 (21208) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 7.50/7.89 (21209) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! doDivides0( Y, X ),
% 7.50/7.89 alpha14( X, Y ) }.
% 7.50/7.89 (21210) {G0,W5,D2,L2,V2,M2} { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 7.50/7.89 (21211) {G0,W7,D3,L2,V4,M2} { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z
% 7.50/7.89 , T ) ) }.
% 7.50/7.89 (21212) {G0,W10,D4,L2,V2,M2} { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8(
% 7.50/7.89 X, Y ) ) }.
% 7.50/7.89 (21213) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 7.50/7.89 Z ), ! X = sdtasdt0( Y, Z ), alpha15( X, Y ) }.
% 7.50/7.89 (21214) {G0,W8,D2,L3,V1,M3} { ! alpha11( X ), X = sz00, X = sz10 }.
% 7.50/7.89 (21215) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha11( X ) }.
% 7.50/7.89 (21216) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha11( X ) }.
% 7.50/7.89 (21217) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 7.50/7.89 (21218) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 7.50/7.89 (21219) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.89 Y ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 7.50/7.89 (21220) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 7.50/7.89 ), X = sz10, X = xp }.
% 7.50/7.89 (21221) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 7.50/7.89 (21222) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 7.50/7.89 (21223) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 )
% 7.50/7.89 }.
% 7.50/7.89 (21224) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 7.50/7.89 (21225) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 7.50/7.90 = xn }.
% 7.50/7.90 (21226) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 7.50/7.90 (21227) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 7.50/7.90 = xm }.
% 7.50/7.90 (21228) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 7.50/7.90 (21229) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 7.50/7.90 (21230) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 7.50/7.90 (21231) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol10 ) = xp }.
% 7.50/7.90 (21232) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 7.50/7.90 (21233) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 7.50/7.90 (21234) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol13 ) }.
% 7.50/7.90 (21235) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol13 ) = xp }.
% 7.50/7.90 (21236) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 7.50/7.90 (21237) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 7.50/7.90 (21238) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 7.50/7.90 (21239) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 7.50/7.90 (21240) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 7.50/7.90 (21241) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 7.50/7.90 (21242) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 7.50/7.90 (21243) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 7.50/7.90 (21244) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 7.50/7.90 (21245) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 7.50/7.90 (21246) {G0,W5,D3,L1,V0,M1} { xk = sdtasdt0( xr, skol11 ) }.
% 7.50/7.90 (21247) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 7.50/7.90 (21248) {G0,W3,D2,L1,V0,M1} { ! xr = sz00 }.
% 7.50/7.90 (21249) {G0,W3,D2,L1,V0,M1} { ! xr = sz10 }.
% 7.50/7.90 (21250) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 7.50/7.90 Y ), ! xr = sdtasdt0( X, Y ), X = sz10, X = xr }.
% 7.50/7.90 (21251) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xr
% 7.50/7.90 ), X = sz10, X = xr }.
% 7.50/7.90 (21252) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 7.50/7.90 (21253) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol12 ) }.
% 7.50/7.90 (21254) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xr, skol12 ) = xk }.
% 7.50/7.90 (21255) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol14 ) }.
% 7.50/7.90 (21256) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol14 )
% 7.50/7.90 }.
% 7.50/7.90 (21257) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 7.50/7.90 (21258) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 7.50/7.90 = xk }.
% 7.50/7.90 (21259) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xk ) }.
% 7.50/7.90 (21260) {G0,W10,D3,L3,V1,M3} { xk = xp, ! aNaturalNumber0( X ), ! sdtpldt0
% 7.50/7.90 ( xk, X ) = xp }.
% 7.50/7.90 (21261) {G0,W6,D2,L2,V0,M2} { xk = xp, ! sdtlseqdt0( xk, xp ) }.
% 7.50/7.90
% 7.50/7.90
% 7.50/7.90 Total Proof:
% 7.50/7.90
% 7.50/7.90 subsumption: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 7.50/7.90 sdtlseqdt0( X, X ) }.
% 7.50/7.90 parent0: (21131) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0
% 7.50/7.90 ( X, X ) }.
% 7.50/7.90 substitution0:
% 7.50/7.90 X := X
% 7.50/7.90 end
% 7.50/7.90 permutation0:
% 7.50/7.90 0 ==> 0
% 7.50/7.90 1 ==> 1
% 7.50/7.90 end
% 7.50/7.90
% 7.50/7.90 subsumption: (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 7.50/7.90 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 7.50/7.90 }.
% 7.50/7.90 parent0: (21132) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 7.50/7.90 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 7.50/7.90 }.
% 7.50/7.90 substitution0:
% 7.50/7.90 X := X
% 7.50/7.90 Y := Y
% 7.50/7.90 end
% 7.50/7.90 permutation0:
% 7.50/7.90 0 ==> 0
% 7.50/7.90 1 ==> 1
% 7.50/7.90 2 ==> 2
% 7.50/7.90 3 ==> 3
% 7.50/7.90 4 ==> 4
% 7.50/7.90 end
% 7.50/7.90
% 7.50/7.90 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 7.50/7.90 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 7.50/7.90 parent0: (21134) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 7.50/7.90 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 7.50/7.90 substitution0:
% 7.50/7.90 X := X
% 7.50/7.90 Y := Y
% 7.50/7.90 end
% 7.50/7.90 permutation0:
% 7.50/7.90 0 ==> 0
% 7.50/7.90 1 ==> 1
% 7.50/7.90 2 ==> 2
% 7.50/7.90 3 ==> 3
% 7.50/7.90 end
% 7.50/7.90
% 7.50/7.90 subsumption: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 7.50/7.90 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 7.50/7.90 parent0: (21135) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 7.50/7.90 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 7.50/7.90 substitution0:
% 7.50/7.90 X := X
% 7.50/7.90 Y := Y
% 7.50/7.90 end
% 7.50/7.90 permutation0:
% 7.50/7.90 0 ==> 0
% 7.50/7.90 1 ==> 1
% 7.50/7.90 2 ==> 2
% 7.50/7.90 3 ==> 3
% 7.50/7.90 end
% 7.50/7.90
% 7.50/7.90 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 7.50/7.90 parent0: (21184) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 7.50/7.90 substitution0:
% 7.50/7.90 end
% 7.50/7.90 permutation0:
% 7.50/7.90 0 ==> 0
% 7.50/7.90 end
% 7.50/7.90
% 7.50/7.90 subsumption: (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 7.50/7.90 parent0: (21237) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 7.50/7.90 substitution0:
% 7.50/7.90 end
% 7.50/7.90 permutation0:
% 7.50/7.90 0 ==> 0
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 subsumption: (156) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xk ) }.
% 7.66/8.08 parent0: (21259) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xk ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 permutation0:
% 7.66/8.08 0 ==> 0
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 subsumption: (158) {G0,W6,D2,L2,V0,M2} I { xk ==> xp, ! sdtlseqdt0( xk, xp
% 7.66/8.08 ) }.
% 7.66/8.08 parent0: (21261) {G0,W6,D2,L2,V0,M2} { xk = xp, ! sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 permutation0:
% 7.66/8.08 0 ==> 0
% 7.66/8.08 1 ==> 1
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 resolution: (23995) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xp ) }.
% 7.66/8.08 parent0[0]: (31) {G0,W5,D2,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtlseqdt0
% 7.66/8.08 ( X, X ) }.
% 7.66/8.08 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 X := xp
% 7.66/8.08 end
% 7.66/8.08 substitution1:
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 subsumption: (692) {G1,W3,D2,L1,V0,M1} R(31,83) { sdtlseqdt0( xp, xp ) }.
% 7.66/8.08 parent0: (23995) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xp ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 permutation0:
% 7.66/8.08 0 ==> 0
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 eqswap: (23996) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 7.66/8.08 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 7.66/8.08 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 7.66/8.08 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 7.66/8.08 substitution0:
% 7.66/8.08 X := Y
% 7.66/8.08 Y := X
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 resolution: (23997) {G1,W7,D2,L3,V0,M3} { ! xp = xk, ! aNaturalNumber0( xp
% 7.66/8.08 ), ! aNaturalNumber0( xk ) }.
% 7.66/8.08 parent0[0]: (156) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xk ) }.
% 7.66/8.08 parent1[3]: (23996) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 7.66/8.08 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 substitution1:
% 7.66/8.08 X := xk
% 7.66/8.08 Y := xp
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 resolution: (23998) {G1,W5,D2,L2,V0,M2} { ! xp = xk, ! aNaturalNumber0( xk
% 7.66/8.08 ) }.
% 7.66/8.08 parent0[1]: (23997) {G1,W7,D2,L3,V0,M3} { ! xp = xk, ! aNaturalNumber0( xp
% 7.66/8.08 ), ! aNaturalNumber0( xk ) }.
% 7.66/8.08 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 substitution1:
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 eqswap: (23999) {G1,W5,D2,L2,V0,M2} { ! xk = xp, ! aNaturalNumber0( xk )
% 7.66/8.08 }.
% 7.66/8.08 parent0[0]: (23998) {G1,W5,D2,L2,V0,M2} { ! xp = xk, ! aNaturalNumber0( xk
% 7.66/8.08 ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 subsumption: (3584) {G1,W5,D2,L2,V0,M2} R(34,156);r(83) { ! aNaturalNumber0
% 7.66/8.08 ( xk ), ! xk ==> xp }.
% 7.66/8.08 parent0: (23999) {G1,W5,D2,L2,V0,M2} { ! xk = xp, ! aNaturalNumber0( xk )
% 7.66/8.08 }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 permutation0:
% 7.66/8.08 0 ==> 1
% 7.66/8.08 1 ==> 0
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 resolution: (24000) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 7.66/8.08 aNaturalNumber0( xk ), sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 parent0[0]: (156) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( xp, xk ) }.
% 7.66/8.08 parent1[2]: (35) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 7.66/8.08 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 substitution1:
% 7.66/8.08 X := xp
% 7.66/8.08 Y := xk
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 resolution: (24001) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xk ),
% 7.66/8.08 sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 parent0[0]: (24000) {G1,W7,D2,L3,V0,M3} { ! aNaturalNumber0( xp ), !
% 7.66/8.08 aNaturalNumber0( xk ), sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 substitution1:
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 subsumption: (3749) {G1,W5,D2,L2,V0,M2} R(35,156);r(83) { ! aNaturalNumber0
% 7.66/8.08 ( xk ), sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 parent0: (24001) {G1,W5,D2,L2,V0,M2} { ! aNaturalNumber0( xk ), sdtlseqdt0
% 7.66/8.08 ( xk, xp ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 permutation0:
% 7.66/8.08 0 ==> 0
% 7.66/8.08 1 ==> 1
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 resolution: (24002) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 parent0[0]: (3749) {G1,W5,D2,L2,V0,M2} R(35,156);r(83) { ! aNaturalNumber0
% 7.66/8.08 ( xk ), sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 parent1[0]: (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 substitution1:
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 subsumption: (3863) {G2,W3,D2,L1,V0,M1} S(3749);r(136) { sdtlseqdt0( xk, xp
% 7.66/8.08 ) }.
% 7.66/8.08 parent0: (24002) {G1,W3,D2,L1,V0,M1} { sdtlseqdt0( xk, xp ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 permutation0:
% 7.66/8.08 0 ==> 0
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 resolution: (24004) {G1,W3,D2,L1,V0,M1} { ! xk ==> xp }.
% 7.66/8.08 parent0[0]: (3584) {G1,W5,D2,L2,V0,M2} R(34,156);r(83) { ! aNaturalNumber0
% 7.66/8.08 ( xk ), ! xk ==> xp }.
% 7.66/8.08 parent1[0]: (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 7.66/8.08 substitution1:
% 7.66/8.08 end
% 7.66/8.08
% 7.66/8.08 subsumption: (4362) {G2,W3,D2,L1,V0,M1} S(3584);r(136) { ! xk ==> xp }.
% 7.66/8.08 parent0: (24004) {G1,W3,D2,L1,V0,M1} { ! xk ==> xp }.
% 7.66/8.08 substitution0:
% 7.66/8.08 end
% 300.02/300.42 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------