TSTP Solution File: NUM514+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM514+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 06:23:06 EDT 2022
% Result : Theorem 10.51s 10.90s
% Output : Refutation 10.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM514+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.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 13:06:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { && }.
% 0.70/1.10 { aNaturalNumber0( sz00 ) }.
% 0.70/1.10 { aNaturalNumber0( sz10 ) }.
% 0.70/1.10 { ! sz10 = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.70/1.10 ( X, Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.70/1.10 ( X, Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.70/1.10 sdtpldt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.70/1.10 sdtasdt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.70/1.10 , Z ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.70/1.10 , X ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.10 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.70/1.10 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.10 , X = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.70/1.10 , Y = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.70/1.10 , X = sz00, Y = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.10 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.70/1.10 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.10 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.70/1.10 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.10 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.70/1.10 sdtlseqdt0( Y, X ), X = Y }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.70/1.10 X }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.70/1.10 sdtlseqdt0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.10 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.10 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.70/1.10 ) ) }.
% 0.70/1.10 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.70/1.10 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.70/1.10 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.70/1.10 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.70/1.10 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.70/1.10 ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.70/1.10 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.70/1.10 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.70/1.10 sdtasdt0( Z, X ) ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.70/1.10 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.70/1.10 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.70/1.10 ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.70/1.10 sdtasdt0( Y, X ) ) }.
% 0.70/1.10 { && }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.70/1.10 ), iLess0( X, Y ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.70/1.10 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.70/1.10 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.10 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.10 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.10 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.70/1.10 ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.70/1.10 ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.70/1.10 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.70/1.10 Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.70/1.10 sz00, sdtlseqdt0( X, Y ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.70/1.10 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.70/1.10 ( sdtasdt0( Z, Y ), X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.70/1.10 { ! alpha1( X ), ! X = sz10 }.
% 0.70/1.10 { ! alpha1( X ), alpha2( X ) }.
% 0.70/1.10 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.70/1.10 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.70/1.10 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.70/1.10 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.70/1.10 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.70/1.10 { ! Y = sz10, alpha4( X, Y ) }.
% 0.70/1.10 { ! Y = X, alpha4( X, Y ) }.
% 0.70/1.10 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.70/1.10 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.70/1.10 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.70/1.10 .
% 0.70/1.10 { aNaturalNumber0( xn ) }.
% 0.70/1.10 { aNaturalNumber0( xm ) }.
% 0.70/1.10 { aNaturalNumber0( xp ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.70/1.10 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.70/1.10 ), xp ) ), alpha9( X, Z ), alpha11( Y, Z ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.70/1.10 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.70/1.10 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z
% 0.70/1.10 ), alpha11( Y, Z ) }.
% 0.70/1.10 { ! alpha11( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.70/1.10 { ! alpha11( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.70/1.10 { ! alpha11( X, Y ), doDivides0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.70/1.10 alpha11( X, Y ) }.
% 0.70/1.10 { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.70/1.10 { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.70/1.10 { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 0.70/1.10 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.70/1.10 alpha9( X, Y ) }.
% 0.70/1.10 { ! alpha7( X ), alpha10( X ) }.
% 0.70/1.10 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.70/1.10 { ! alpha10( X ), isPrime0( X ), alpha7( X ) }.
% 0.70/1.10 { ! alpha10( X ), alpha12( X ), alpha13( X ) }.
% 0.70/1.10 { ! alpha12( X ), alpha10( X ) }.
% 0.70/1.10 { ! alpha13( X ), alpha10( X ) }.
% 0.70/1.10 { ! alpha13( X ), alpha14( X, skol7( X ) ) }.
% 0.70/1.10 { ! alpha13( X ), ! skol7( X ) = X }.
% 0.70/1.10 { ! alpha14( X, Y ), Y = X, alpha13( X ) }.
% 0.70/1.10 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.70/1.10 { ! alpha14( X, Y ), ! Y = sz10 }.
% 0.70/1.10 { ! alpha15( X, Y ), Y = sz10, alpha14( X, Y ) }.
% 0.70/1.10 { ! alpha15( X, Y ), alpha16( X, Y ) }.
% 0.70/1.10 { ! alpha15( X, Y ), doDivides0( Y, X ) }.
% 0.70/1.10 { ! alpha16( X, Y ), ! doDivides0( Y, X ), alpha15( X, Y ) }.
% 0.70/1.10 { ! alpha16( X, Y ), aNaturalNumber0( Y ) }.
% 0.70/1.10 { ! alpha16( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.70/1.10 { ! alpha16( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.70/1.10 alpha16( X, Y ) }.
% 0.70/1.10 { ! alpha12( X ), X = sz00, X = sz10 }.
% 0.70/1.10 { ! X = sz00, alpha12( X ) }.
% 0.70/1.10 { ! X = sz10, alpha12( X ) }.
% 0.70/1.10 { ! xp = sz00 }.
% 0.70/1.10 { ! xp = sz10 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.70/1.10 X = sz10, X = xp }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.70/1.10 { isPrime0( xp ) }.
% 0.70/1.10 { aNaturalNumber0( skol9 ) }.
% 0.70/1.10 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.70/1.10 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 0.70/1.10 { ! sdtlseqdt0( xp, xn ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 0.70/1.10 { ! sdtlseqdt0( xp, xm ) }.
% 0.70/1.10 { ! xn = xp }.
% 0.70/1.10 { aNaturalNumber0( skol10 ) }.
% 0.70/1.10 { sdtpldt0( xn, skol10 ) = xp }.
% 0.70/1.10 { sdtlseqdt0( xn, xp ) }.
% 0.70/1.10 { ! xm = xp }.
% 0.70/1.10 { aNaturalNumber0( skol18 ) }.
% 0.70/1.10 { sdtpldt0( xm, skol18 ) = xp }.
% 0.70/1.10 { sdtlseqdt0( xm, xp ) }.
% 0.70/1.10 { aNaturalNumber0( xk ) }.
% 0.70/1.10 { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 0.70/1.10 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 0.70/1.10 { ! xk = sz00 }.
% 0.70/1.10 { ! xk = sz10 }.
% 0.70/1.10 { ! xk = sz00 }.
% 0.70/1.10 { ! xk = sz10 }.
% 0.70/1.10 { aNaturalNumber0( xr ) }.
% 0.70/1.10 { aNaturalNumber0( skol11 ) }.
% 0.70/1.10 { xk = sdtasdt0( xr, skol11 ) }.
% 0.70/1.10 { doDivides0( xr, xk ) }.
% 0.70/1.10 { ! xr = sz00 }.
% 0.70/1.10 { ! xr = sz10 }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xr = sdtasdt0( X, Y ),
% 0.70/1.10 X = sz10, X = xr }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! doDivides0( X, xr ), X = sz10, X = xr }.
% 0.70/1.10 { isPrime0( xr ) }.
% 0.70/1.10 { aNaturalNumber0( skol12 ) }.
% 0.70/1.10 { sdtpldt0( xr, skol12 ) = xk }.
% 0.70/1.10 { aNaturalNumber0( skol19 ) }.
% 0.70/1.10 { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol19 ) }.
% 0.70/1.10 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 0.70/1.10 { ! xk = xp }.
% 0.70/1.10 { aNaturalNumber0( skol13 ) }.
% 0.70/1.10 { sdtpldt0( xk, skol13 ) = xp }.
% 0.70/1.10 { sdtlseqdt0( xk, xp ) }.
% 0.70/1.10 { alpha8, aNaturalNumber0( skol14 ) }.
% 0.70/1.10 { alpha8, xm = sdtasdt0( xr, skol14 ) }.
% 0.70/1.10 { alpha8, doDivides0( xr, xm ) }.
% 0.70/1.10 { ! alpha8, aNaturalNumber0( skol15 ) }.
% 0.70/1.10 { ! alpha8, xn = sdtasdt0( xr, skol15 ) }.
% 0.70/1.10 { ! alpha8, doDivides0( xr, xn ) }.
% 0.70/1.10 { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xr, X ), ! doDivides0( xr, xn )
% 0.70/1.10 , alpha8 }.
% 0.70/1.10 { aNaturalNumber0( skol16 ) }.
% 0.70/1.10 { xn = sdtasdt0( xr, skol16 ) }.
% 0.70/1.10 { doDivides0( xr, xn ) }.
% 0.70/1.10 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 0.70/1.10 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 0.70/1.10 { ! sdtsldt0( xn, xr ) = xn }.
% 0.70/1.10 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 0.70/1.10 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 0.70/1.10 { aNaturalNumber0( skol17 ) }.
% 0.70/1.10 { sdtpldt0( sdtsldt0( xn, xr ), skol17 ) = xn }.
% 0.70/1.10 { sdtlseqdt0( sdtsldt0( xn, xr ), xn ) }.
% 0.70/1.10 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 0.70/1.10 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 0.70/1.10 { sdtasdt0( sdtasdt0( sdtsldt0( xn, xr ), xm ), xr ) = sdtasdt0( xn, xm ) }
% 0.70/1.10 .
% 0.70/1.10 { aNaturalNumber0( sdtsldt0( sdtasdt0( xp, xk ), xr ) ) }.
% 10.51/10.89 { sdtasdt0( xp, xk ) = sdtasdt0( xr, sdtsldt0( sdtasdt0( xp, xk ), xr ) ) }
% 10.51/10.89 .
% 10.51/10.89 { sdtasdt0( xn, xm ) = sdtasdt0( sdtsldt0( sdtasdt0( xp, xk ), xr ), xr ) }
% 10.51/10.89 .
% 10.51/10.89 { aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 10.51/10.89 { xk = sdtasdt0( xr, sdtsldt0( xk, xr ) ) }.
% 10.51/10.89 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 10.51/10.89 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 10.51/10.89 { sdtasdt0( xp, sdtsldt0( xk, xr ) ) = sdtasdt0( sdtsldt0( xn, xr ), xm ) }
% 10.51/10.89 .
% 10.51/10.89 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 10.51/10.89 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 10.51/10.89 { ! aNaturalNumber0( X ), ! sdtasdt0( sdtsldt0( xn, xr ), xm ) = sdtasdt0(
% 10.51/10.89 xp, X ) }.
% 10.51/10.89 { ! doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr ), xm ) ) }.
% 10.51/10.89
% 10.51/10.89 percentage equality = 0.296524, percentage horn = 0.782609
% 10.51/10.89 This is a problem with some equality
% 10.51/10.89
% 10.51/10.89
% 10.51/10.89
% 10.51/10.89 Options Used:
% 10.51/10.89
% 10.51/10.89 useres = 1
% 10.51/10.89 useparamod = 1
% 10.51/10.89 useeqrefl = 1
% 10.51/10.89 useeqfact = 1
% 10.51/10.89 usefactor = 1
% 10.51/10.89 usesimpsplitting = 0
% 10.51/10.89 usesimpdemod = 5
% 10.51/10.89 usesimpres = 3
% 10.51/10.89
% 10.51/10.89 resimpinuse = 1000
% 10.51/10.89 resimpclauses = 20000
% 10.51/10.89 substype = eqrewr
% 10.51/10.89 backwardsubs = 1
% 10.51/10.89 selectoldest = 5
% 10.51/10.89
% 10.51/10.89 litorderings [0] = split
% 10.51/10.89 litorderings [1] = extend the termordering, first sorting on arguments
% 10.51/10.89
% 10.51/10.89 termordering = kbo
% 10.51/10.89
% 10.51/10.89 litapriori = 0
% 10.51/10.89 termapriori = 1
% 10.51/10.89 litaposteriori = 0
% 10.51/10.89 termaposteriori = 0
% 10.51/10.89 demodaposteriori = 0
% 10.51/10.89 ordereqreflfact = 0
% 10.51/10.89
% 10.51/10.89 litselect = negord
% 10.51/10.89
% 10.51/10.89 maxweight = 15
% 10.51/10.89 maxdepth = 30000
% 10.51/10.89 maxlength = 115
% 10.51/10.89 maxnrvars = 195
% 10.51/10.89 excuselevel = 1
% 10.51/10.89 increasemaxweight = 1
% 10.51/10.89
% 10.51/10.89 maxselected = 10000000
% 10.51/10.89 maxnrclauses = 10000000
% 10.51/10.89
% 10.51/10.89 showgenerated = 0
% 10.51/10.89 showkept = 0
% 10.51/10.89 showselected = 0
% 10.51/10.89 showdeleted = 0
% 10.51/10.89 showresimp = 1
% 10.51/10.89 showstatus = 2000
% 10.51/10.89
% 10.51/10.89 prologoutput = 0
% 10.51/10.89 nrgoals = 5000000
% 10.51/10.89 totalproof = 1
% 10.51/10.89
% 10.51/10.89 Symbols occurring in the translation:
% 10.51/10.89
% 10.51/10.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.51/10.89 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 10.51/10.89 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 10.51/10.89 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 10.51/10.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.51/10.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.51/10.89 aNaturalNumber0 [36, 1] (w:1, o:35, a:1, s:1, b:0),
% 10.51/10.89 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 10.51/10.89 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 10.51/10.89 sdtpldt0 [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 10.51/10.89 sdtasdt0 [41, 2] (w:1, o:71, a:1, s:1, b:0),
% 10.51/10.89 sdtlseqdt0 [43, 2] (w:1, o:72, a:1, s:1, b:0),
% 10.51/10.89 sdtmndt0 [44, 2] (w:1, o:73, a:1, s:1, b:0),
% 10.51/10.89 iLess0 [45, 2] (w:1, o:74, a:1, s:1, b:0),
% 10.51/10.89 doDivides0 [46, 2] (w:1, o:75, a:1, s:1, b:0),
% 10.51/10.89 sdtsldt0 [47, 2] (w:1, o:76, a:1, s:1, b:0),
% 10.51/10.89 isPrime0 [48, 1] (w:1, o:36, a:1, s:1, b:0),
% 10.51/10.89 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 10.51/10.89 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 10.51/10.89 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 10.51/10.89 xk [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 10.51/10.89 xr [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 10.51/10.89 alpha1 [56, 1] (w:1, o:37, a:1, s:1, b:1),
% 10.51/10.89 alpha2 [57, 1] (w:1, o:41, a:1, s:1, b:1),
% 10.51/10.89 alpha3 [58, 2] (w:1, o:77, a:1, s:1, b:1),
% 10.51/10.89 alpha4 [59, 2] (w:1, o:78, a:1, s:1, b:1),
% 10.51/10.89 alpha5 [60, 3] (w:1, o:89, a:1, s:1, b:1),
% 10.51/10.89 alpha6 [61, 3] (w:1, o:90, a:1, s:1, b:1),
% 10.51/10.89 alpha7 [62, 1] (w:1, o:42, a:1, s:1, b:1),
% 10.51/10.89 alpha8 [63, 0] (w:1, o:18, a:1, s:1, b:1),
% 10.51/10.89 alpha9 [64, 2] (w:1, o:79, a:1, s:1, b:1),
% 10.51/10.89 alpha10 [65, 1] (w:1, o:38, a:1, s:1, b:1),
% 10.51/10.89 alpha11 [66, 2] (w:1, o:80, a:1, s:1, b:1),
% 10.51/10.89 alpha12 [67, 1] (w:1, o:39, a:1, s:1, b:1),
% 10.51/10.89 alpha13 [68, 1] (w:1, o:40, a:1, s:1, b:1),
% 10.51/10.89 alpha14 [69, 2] (w:1, o:81, a:1, s:1, b:1),
% 10.51/10.89 alpha15 [70, 2] (w:1, o:82, a:1, s:1, b:1),
% 10.51/10.89 alpha16 [71, 2] (w:1, o:83, a:1, s:1, b:1),
% 10.51/10.89 skol1 [72, 2] (w:1, o:84, a:1, s:1, b:1),
% 10.51/10.89 skol2 [73, 2] (w:1, o:85, a:1, s:1, b:1),
% 10.51/10.89 skol3 [74, 1] (w:1, o:43, a:1, s:1, b:1),
% 10.51/10.89 skol4 [75, 1] (w:1, o:44, a:1, s:1, b:1),
% 10.51/10.89 skol5 [76, 2] (w:1, o:86, a:1, s:1, b:1),
% 10.51/10.89 skol6 [77, 2] (w:1, o:87, a:1, s:1, b:1),
% 10.51/10.89 skol7 [78, 1] (w:1, o:45, a:1, s:1, b:1),
% 10.51/10.89 skol8 [79, 2] (w:1, o:88, a:1, s:1, b:1),
% 10.51/10.89 skol9 [80, 0] (w:1, o:19, a:1, s:1, b:1),
% 10.51/10.90 skol10 [81, 0] (w:1, o:20, a:1, s:1, b:1),
% 10.51/10.90 skol11 [82, 0] (w:1, o:21, a:1, s:1, b:1),
% 10.51/10.90 skol12 [83, 0] (w:1, o:22, a:1, s:1, b:1),
% 10.51/10.90 skol13 [84, 0] (w:1, o:23, a:1, s:1, b:1),
% 10.51/10.90 skol14 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 10.51/10.90 skol15 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 10.51/10.90 skol16 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 10.51/10.90 skol17 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 10.51/10.90 skol18 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 10.51/10.90 skol19 [90, 0] (w:1, o:29, a:1, s:1, b:1).
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Starting Search:
% 10.51/10.90
% 10.51/10.90 *** allocated 15000 integers for clauses
% 10.51/10.90 *** allocated 22500 integers for clauses
% 10.51/10.90 *** allocated 33750 integers for clauses
% 10.51/10.90 *** allocated 15000 integers for termspace/termends
% 10.51/10.90 *** allocated 50625 integers for clauses
% 10.51/10.90 *** allocated 75937 integers for clauses
% 10.51/10.90 *** allocated 22500 integers for termspace/termends
% 10.51/10.90 *** allocated 113905 integers for clauses
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 33750 integers for termspace/termends
% 10.51/10.90 *** allocated 170857 integers for clauses
% 10.51/10.90 *** allocated 50625 integers for termspace/termends
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 7983
% 10.51/10.90 Kept: 2172
% 10.51/10.90 Inuse: 105
% 10.51/10.90 Deleted: 1
% 10.51/10.90 Deletedinuse: 0
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 75937 integers for termspace/termends
% 10.51/10.90 *** allocated 256285 integers for clauses
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 113905 integers for termspace/termends
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 18826
% 10.51/10.90 Kept: 4263
% 10.51/10.90 Inuse: 159
% 10.51/10.90 Deleted: 2
% 10.51/10.90 Deletedinuse: 0
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 384427 integers for clauses
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 170857 integers for termspace/termends
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 30396
% 10.51/10.90 Kept: 6356
% 10.51/10.90 Inuse: 198
% 10.51/10.90 Deleted: 3
% 10.51/10.90 Deletedinuse: 0
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 576640 integers for clauses
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 51994
% 10.51/10.90 Kept: 8357
% 10.51/10.90 Inuse: 233
% 10.51/10.90 Deleted: 3
% 10.51/10.90 Deletedinuse: 0
% 10.51/10.90
% 10.51/10.90 *** allocated 256285 integers for termspace/termends
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 64436
% 10.51/10.90 Kept: 10641
% 10.51/10.90 Inuse: 267
% 10.51/10.90 Deleted: 5
% 10.51/10.90 Deletedinuse: 1
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 864960 integers for clauses
% 10.51/10.90 *** allocated 384427 integers for termspace/termends
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 82833
% 10.51/10.90 Kept: 12702
% 10.51/10.90 Inuse: 297
% 10.51/10.90 Deleted: 6
% 10.51/10.90 Deletedinuse: 2
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 96348
% 10.51/10.90 Kept: 15161
% 10.51/10.90 Inuse: 342
% 10.51/10.90 Deleted: 8
% 10.51/10.90 Deletedinuse: 4
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 116509
% 10.51/10.90 Kept: 17308
% 10.51/10.90 Inuse: 382
% 10.51/10.90 Deleted: 8
% 10.51/10.90 Deletedinuse: 4
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 576640 integers for termspace/termends
% 10.51/10.90 *** allocated 1297440 integers for clauses
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 125947
% 10.51/10.90 Kept: 20109
% 10.51/10.90 Inuse: 452
% 10.51/10.90 Deleted: 10
% 10.51/10.90 Deletedinuse: 6
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 Resimplifying clauses:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 131396
% 10.51/10.90 Kept: 22121
% 10.51/10.90 Inuse: 482
% 10.51/10.90 Deleted: 4025
% 10.51/10.90 Deletedinuse: 9
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 146329
% 10.51/10.90 Kept: 24339
% 10.51/10.90 Inuse: 512
% 10.51/10.90 Deleted: 4026
% 10.51/10.90 Deletedinuse: 10
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 158377
% 10.51/10.90 Kept: 26351
% 10.51/10.90 Inuse: 570
% 10.51/10.90 Deleted: 4026
% 10.51/10.90 Deletedinuse: 10
% 10.51/10.90
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90 *** allocated 1946160 integers for clauses
% 10.51/10.90 Resimplifying inuse:
% 10.51/10.90 Done
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Intermediate Status:
% 10.51/10.90 Generated: 165703
% 10.51/10.90 Kept: 28447
% 10.51/10.90 Inuse: 647
% 10.51/10.90 Deleted: 4026
% 10.51/10.90 Deletedinuse: 10
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Bliksems!, er is een bewijs:
% 10.51/10.90 % SZS status Theorem
% 10.51/10.90 % SZS output start Refutation
% 10.51/10.90
% 10.51/10.90 (179) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 10.51/10.90 (181) {G0,W11,D4,L1,V0,M1} I { sdtasdt0( xp, sdtsldt0( xk, xr ) ) ==>
% 10.51/10.90 sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 (182) {G0,W11,D4,L2,V1,M2} I { ! aNaturalNumber0( X ), ! sdtasdt0( sdtsldt0
% 10.51/10.90 ( xn, xr ), xm ) = sdtasdt0( xp, X ) }.
% 10.51/10.90 (28615) {G1,W0,D0,L0,V0,M0} R(182,179);d(181);q { }.
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 % SZS output end Refutation
% 10.51/10.90 found a proof!
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Unprocessed initial clauses:
% 10.51/10.90
% 10.51/10.90 (28617) {G0,W1,D1,L1,V0,M1} { && }.
% 10.51/10.90 (28618) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 10.51/10.90 (28619) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 10.51/10.90 (28620) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 10.51/10.90 (28621) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.51/10.90 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 10.51/10.90 (28622) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 10.51/10.90 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 10.51/10.90 (28623) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 10.51/10.90 (28624) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 10.51/10.90 X, sdtpldt0( Y, Z ) ) }.
% 10.51/10.90 (28625) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 10.51/10.90 = X }.
% 10.51/10.90 (28626) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 10.51/10.90 X ) }.
% 10.51/10.90 (28627) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 10.51/10.90 (28628) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 10.51/10.90 X, sdtasdt0( Y, Z ) ) }.
% 10.51/10.90 (28629) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 10.51/10.90 = X }.
% 10.51/10.90 (28630) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 10.51/10.90 X ) }.
% 10.51/10.90 (28631) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 10.51/10.90 = sz00 }.
% 10.51/10.90 (28632) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 10.51/10.90 sz00, X ) }.
% 10.51/10.90 (28633) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 10.51/10.90 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 10.51/10.90 (28634) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 10.51/10.90 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 10.51/10.90 (28635) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 10.51/10.90 }.
% 10.51/10.90 (28636) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 10.51/10.90 }.
% 10.51/10.90 (28637) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 10.51/10.90 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 10.51/10.90 sdtasdt0( X, Z ), Y = Z }.
% 10.51/10.90 (28638) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 10.51/10.90 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 10.51/10.90 sdtasdt0( Z, X ), Y = Z }.
% 10.51/10.90 (28639) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 10.51/10.90 (28640) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 10.51/10.90 (28641) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 10.51/10.90 (28642) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 10.51/10.90 (28643) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 10.51/10.90 (28644) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 10.51/10.90 }.
% 10.51/10.90 (28645) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 10.51/10.90 }.
% 10.51/10.90 (28646) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 10.51/10.90 }.
% 10.51/10.90 (28647) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 10.51/10.90 , Z = sdtmndt0( Y, X ) }.
% 10.51/10.90 (28648) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 10.51/10.90 }.
% 10.51/10.90 (28649) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 10.51/10.90 (28650) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 10.51/10.90 sdtlseqdt0( X, Z ) }.
% 10.51/10.90 (28651) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 10.51/10.90 (28652) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 10.51/10.90 (28653) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 10.51/10.90 ) }.
% 10.51/10.90 (28654) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 10.51/10.90 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 10.51/10.90 (28655) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 10.51/10.90 sdtpldt0( Z, Y ) }.
% 10.51/10.90 (28656) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 10.51/10.90 Z, X ), sdtpldt0( Z, Y ) ) }.
% 10.51/10.90 (28657) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 10.51/10.90 sdtpldt0( Y, Z ) }.
% 10.51/10.90 (28658) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 10.51/10.90 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 10.51/10.90 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 10.51/10.90 (28659) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 10.51/10.90 alpha6( X, Y, Z ) }.
% 10.51/10.90 (28660) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 10.51/10.90 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 10.51/10.90 (28661) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 10.51/10.90 sdtasdt0( X, Z ) }.
% 10.51/10.90 (28662) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 10.51/10.90 X, Y ), sdtasdt0( X, Z ) ) }.
% 10.51/10.90 (28663) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 10.51/10.90 sdtasdt0( Z, X ) }.
% 10.51/10.90 (28664) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 10.51/10.90 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 10.51/10.90 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 10.51/10.90 (28665) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.51/10.90 , ! sz10 = X }.
% 10.51/10.90 (28666) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.51/10.90 , sdtlseqdt0( sz10, X ) }.
% 10.51/10.90 (28667) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 10.51/10.90 (28668) {G0,W1,D1,L1,V0,M1} { && }.
% 10.51/10.90 (28669) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 10.51/10.90 (28670) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 10.51/10.90 (28671) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 10.51/10.90 (28672) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 10.51/10.90 }.
% 10.51/10.90 (28673) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 10.51/10.90 aNaturalNumber0( Z ) }.
% 10.51/10.90 (28674) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 10.51/10.90 ( X, Z ) }.
% 10.51/10.90 (28675) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 10.51/10.90 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 10.51/10.90 (28676) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 10.51/10.90 doDivides0( X, Z ) }.
% 10.51/10.90 (28677) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 10.51/10.90 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 10.51/10.90 (28678) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 10.51/10.90 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 10.51/10.90 (28679) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 10.51/10.90 (28680) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 10.51/10.90 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 10.51/10.90 (28681) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 10.51/10.90 = sz00 }.
% 10.51/10.90 (28682) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 10.51/10.90 alpha1( X ) }.
% 10.51/10.90 (28683) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 10.51/10.90 X ), isPrime0( X ) }.
% 10.51/10.90 (28684) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 10.51/10.90 (28685) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 10.51/10.90 (28686) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 10.51/10.90 (28687) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 10.51/10.90 Y ) }.
% 10.51/10.90 (28688) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 10.51/10.90 (28689) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 10.51/10.90 (28690) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 10.51/10.90 (28691) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 10.51/10.90 (28692) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 10.51/10.90 (28693) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 10.51/10.90 (28694) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 10.51/10.90 (28695) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 10.51/10.90 , alpha3( X, Y ) }.
% 10.51/10.90 (28696) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.51/10.90 , aNaturalNumber0( skol4( Y ) ) }.
% 10.51/10.90 (28697) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.51/10.90 , isPrime0( skol4( Y ) ) }.
% 10.51/10.90 (28698) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 10.51/10.90 , doDivides0( skol4( X ), X ) }.
% 10.51/10.90 (28699) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 10.51/10.90 (28700) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 10.51/10.90 (28701) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 10.51/10.90 (28702) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 10.51/10.90 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 10.51/10.90 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z ), alpha11( Y,
% 10.51/10.90 Z ) }.
% 10.51/10.90 (28703) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 10.51/10.90 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 10.51/10.90 xm ), xp ) ), alpha9( X, Z ), alpha11( Y, Z ) }.
% 10.51/10.90 (28704) {G0,W7,D3,L2,V4,M2} { ! alpha11( X, Y ), aNaturalNumber0( skol5( Z
% 10.51/10.90 , T ) ) }.
% 10.51/10.90 (28705) {G0,W10,D4,L2,V2,M2} { ! alpha11( X, Y ), X = sdtasdt0( Y, skol5(
% 10.51/10.90 X, Y ) ) }.
% 10.51/10.90 (28706) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), doDivides0( Y, X ) }.
% 10.51/10.90 (28707) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 10.51/10.90 Z ), ! doDivides0( Y, X ), alpha11( X, Y ) }.
% 10.51/10.90 (28708) {G0,W7,D3,L2,V4,M2} { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z
% 10.51/10.90 , T ) ) }.
% 10.51/10.90 (28709) {G0,W10,D4,L2,V2,M2} { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X
% 10.51/10.90 , Y ) ) }.
% 10.51/10.90 (28710) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 10.51/10.90 (28711) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 10.51/10.90 Z ), ! doDivides0( Y, X ), alpha9( X, Y ) }.
% 10.51/10.90 (28712) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha10( X ) }.
% 10.51/10.90 (28713) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 10.51/10.90 (28714) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), isPrime0( X ), alpha7( X )
% 10.51/10.90 }.
% 10.51/10.90 (28715) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), alpha12( X ), alpha13( X )
% 10.51/10.90 }.
% 10.51/10.90 (28716) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha10( X ) }.
% 10.51/10.90 (28717) {G0,W4,D2,L2,V1,M2} { ! alpha13( X ), alpha10( X ) }.
% 10.51/10.90 (28718) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), alpha14( X, skol7( X ) ) }.
% 10.51/10.90 (28719) {G0,W6,D3,L2,V1,M2} { ! alpha13( X ), ! skol7( X ) = X }.
% 10.51/10.90 (28720) {G0,W8,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = X, alpha13( X ) }.
% 10.51/10.90 (28721) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 10.51/10.90 (28722) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), ! Y = sz10 }.
% 10.51/10.90 (28723) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), Y = sz10, alpha14( X, Y )
% 10.51/10.90 }.
% 10.51/10.90 (28724) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha16( X, Y ) }.
% 10.51/10.90 (28725) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), doDivides0( Y, X ) }.
% 10.51/10.90 (28726) {G0,W9,D2,L3,V2,M3} { ! alpha16( X, Y ), ! doDivides0( Y, X ),
% 10.51/10.90 alpha15( X, Y ) }.
% 10.51/10.90 (28727) {G0,W5,D2,L2,V2,M2} { ! alpha16( X, Y ), aNaturalNumber0( Y ) }.
% 10.51/10.90 (28728) {G0,W7,D3,L2,V4,M2} { ! alpha16( X, Y ), aNaturalNumber0( skol8( Z
% 10.51/10.90 , T ) ) }.
% 10.51/10.90 (28729) {G0,W10,D4,L2,V2,M2} { ! alpha16( X, Y ), X = sdtasdt0( Y, skol8(
% 10.51/10.90 X, Y ) ) }.
% 10.51/10.90 (28730) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 10.51/10.90 Z ), ! X = sdtasdt0( Y, Z ), alpha16( X, Y ) }.
% 10.51/10.90 (28731) {G0,W8,D2,L3,V1,M3} { ! alpha12( X ), X = sz00, X = sz10 }.
% 10.51/10.90 (28732) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha12( X ) }.
% 10.51/10.90 (28733) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha12( X ) }.
% 10.51/10.90 (28734) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 10.51/10.90 (28735) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 10.51/10.90 (28736) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 10.51/10.90 (28737) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 10.51/10.90 ), X = sz10, X = xp }.
% 10.51/10.90 (28738) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 10.51/10.90 (28739) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 10.51/10.90 (28740) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 )
% 10.51/10.90 }.
% 10.51/10.90 (28741) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 10.51/10.90 (28742) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 10.51/10.90 = xn }.
% 10.51/10.90 (28743) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 10.51/10.90 (28744) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 10.51/10.90 = xm }.
% 10.51/10.90 (28745) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 10.51/10.90 (28746) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 10.51/10.90 (28747) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 10.51/10.90 (28748) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol10 ) = xp }.
% 10.51/10.90 (28749) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 10.51/10.90 (28750) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 10.51/10.90 (28751) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol18 ) }.
% 10.51/10.90 (28752) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol18 ) = xp }.
% 10.51/10.90 (28753) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 10.51/10.90 (28754) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 10.51/10.90 (28755) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 10.51/10.90 (28756) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 10.51/10.90 (28757) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 10.51/10.90 (28758) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 10.51/10.90 (28759) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 10.51/10.90 (28760) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 10.51/10.90 (28761) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 10.51/10.90 (28762) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 10.51/10.90 (28763) {G0,W5,D3,L1,V0,M1} { xk = sdtasdt0( xr, skol11 ) }.
% 10.51/10.90 (28764) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 10.51/10.90 (28765) {G0,W3,D2,L1,V0,M1} { ! xr = sz00 }.
% 10.51/10.90 (28766) {G0,W3,D2,L1,V0,M1} { ! xr = sz10 }.
% 10.51/10.90 (28767) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 10.51/10.90 Y ), ! xr = sdtasdt0( X, Y ), X = sz10, X = xr }.
% 10.51/10.90 (28768) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xr
% 10.51/10.90 ), X = sz10, X = xr }.
% 10.51/10.90 (28769) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 10.51/10.90 (28770) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol12 ) }.
% 10.51/10.90 (28771) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xr, skol12 ) = xk }.
% 10.51/10.90 (28772) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol19 ) }.
% 10.51/10.90 (28773) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol19 )
% 10.51/10.90 }.
% 10.51/10.90 (28774) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 10.51/10.90 (28775) {G0,W3,D2,L1,V0,M1} { ! xk = xp }.
% 10.51/10.90 (28776) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol13 ) }.
% 10.51/10.90 (28777) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xk, skol13 ) = xp }.
% 10.51/10.90 (28778) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xk, xp ) }.
% 10.51/10.90 (28779) {G0,W3,D2,L2,V0,M2} { alpha8, aNaturalNumber0( skol14 ) }.
% 10.51/10.90 (28780) {G0,W6,D3,L2,V0,M2} { alpha8, xm = sdtasdt0( xr, skol14 ) }.
% 10.51/10.90 (28781) {G0,W4,D2,L2,V0,M2} { alpha8, doDivides0( xr, xm ) }.
% 10.51/10.90 (28782) {G0,W3,D2,L2,V0,M2} { ! alpha8, aNaturalNumber0( skol15 ) }.
% 10.51/10.90 (28783) {G0,W6,D3,L2,V0,M2} { ! alpha8, xn = sdtasdt0( xr, skol15 ) }.
% 10.51/10.90 (28784) {G0,W4,D2,L2,V0,M2} { ! alpha8, doDivides0( xr, xn ) }.
% 10.51/10.90 (28785) {G0,W11,D3,L4,V1,M4} { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xr
% 10.51/10.90 , X ), ! doDivides0( xr, xn ), alpha8 }.
% 10.51/10.90 (28786) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol16 ) }.
% 10.51/10.90 (28787) {G0,W5,D3,L1,V0,M1} { xn = sdtasdt0( xr, skol16 ) }.
% 10.51/10.90 (28788) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xn ) }.
% 10.51/10.90 (28789) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28790) {G0,W7,D4,L1,V0,M1} { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28791) {G0,W5,D3,L1,V0,M1} { ! sdtsldt0( xn, xr ) = xn }.
% 10.51/10.90 (28792) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28793) {G0,W7,D4,L1,V0,M1} { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28794) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol17 ) }.
% 10.51/10.90 (28795) {G0,W7,D4,L1,V0,M1} { sdtpldt0( sdtsldt0( xn, xr ), skol17 ) = xn
% 10.51/10.90 }.
% 10.51/10.90 (28796) {G0,W5,D3,L1,V0,M1} { sdtlseqdt0( sdtsldt0( xn, xr ), xn ) }.
% 10.51/10.90 (28797) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28798) {G0,W7,D4,L1,V0,M1} { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28799) {G0,W11,D5,L1,V0,M1} { sdtasdt0( sdtasdt0( sdtsldt0( xn, xr ), xm
% 10.51/10.90 ), xr ) = sdtasdt0( xn, xm ) }.
% 10.51/10.90 (28800) {G0,W6,D4,L1,V0,M1} { aNaturalNumber0( sdtsldt0( sdtasdt0( xp, xk
% 10.51/10.90 ), xr ) ) }.
% 10.51/10.90 (28801) {G0,W11,D5,L1,V0,M1} { sdtasdt0( xp, xk ) = sdtasdt0( xr, sdtsldt0
% 10.51/10.90 ( sdtasdt0( xp, xk ), xr ) ) }.
% 10.51/10.90 (28802) {G0,W11,D5,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( sdtsldt0(
% 10.51/10.90 sdtasdt0( xp, xk ), xr ), xr ) }.
% 10.51/10.90 (28803) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 10.51/10.90 (28804) {G0,W7,D4,L1,V0,M1} { xk = sdtasdt0( xr, sdtsldt0( xk, xr ) ) }.
% 10.51/10.90 (28805) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28806) {G0,W7,D4,L1,V0,M1} { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28807) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xp, sdtsldt0( xk, xr ) ) =
% 10.51/10.90 sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 (28808) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28809) {G0,W7,D4,L1,V0,M1} { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 10.51/10.90 (28810) {G0,W11,D4,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtasdt0(
% 10.51/10.90 sdtsldt0( xn, xr ), xm ) = sdtasdt0( xp, X ) }.
% 10.51/10.90 (28811) {G0,W7,D4,L1,V0,M1} { ! doDivides0( xp, sdtasdt0( sdtsldt0( xn, xr
% 10.51/10.90 ), xm ) ) }.
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Total Proof:
% 10.51/10.90
% 10.51/10.90 subsumption: (179) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xk,
% 10.51/10.90 xr ) ) }.
% 10.51/10.90 parent0: (28803) {G0,W4,D3,L1,V0,M1} { aNaturalNumber0( sdtsldt0( xk, xr )
% 10.51/10.90 ) }.
% 10.51/10.90 substitution0:
% 10.51/10.90 end
% 10.51/10.90 permutation0:
% 10.51/10.90 0 ==> 0
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 *** allocated 864960 integers for termspace/termends
% 10.51/10.90 subsumption: (181) {G0,W11,D4,L1,V0,M1} I { sdtasdt0( xp, sdtsldt0( xk, xr
% 10.51/10.90 ) ) ==> sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 parent0: (28807) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xp, sdtsldt0( xk, xr ) )
% 10.51/10.90 = sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 substitution0:
% 10.51/10.90 end
% 10.51/10.90 permutation0:
% 10.51/10.90 0 ==> 0
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 subsumption: (182) {G0,W11,D4,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 10.51/10.90 sdtasdt0( sdtsldt0( xn, xr ), xm ) = sdtasdt0( xp, X ) }.
% 10.51/10.90 parent0: (28810) {G0,W11,D4,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtasdt0
% 10.51/10.90 ( sdtsldt0( xn, xr ), xm ) = sdtasdt0( xp, X ) }.
% 10.51/10.90 substitution0:
% 10.51/10.90 X := X
% 10.51/10.90 end
% 10.51/10.90 permutation0:
% 10.51/10.90 0 ==> 0
% 10.51/10.90 1 ==> 1
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 eqswap: (30434) {G0,W11,D4,L2,V1,M2} { ! sdtasdt0( xp, X ) = sdtasdt0(
% 10.51/10.90 sdtsldt0( xn, xr ), xm ), ! aNaturalNumber0( X ) }.
% 10.51/10.90 parent0[1]: (182) {G0,W11,D4,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 10.51/10.90 sdtasdt0( sdtsldt0( xn, xr ), xm ) = sdtasdt0( xp, X ) }.
% 10.51/10.90 substitution0:
% 10.51/10.90 X := X
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 resolution: (30436) {G1,W11,D4,L1,V0,M1} { ! sdtasdt0( xp, sdtsldt0( xk,
% 10.51/10.90 xr ) ) = sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 parent0[1]: (30434) {G0,W11,D4,L2,V1,M2} { ! sdtasdt0( xp, X ) = sdtasdt0
% 10.51/10.90 ( sdtsldt0( xn, xr ), xm ), ! aNaturalNumber0( X ) }.
% 10.51/10.90 parent1[0]: (179) {G0,W4,D3,L1,V0,M1} I { aNaturalNumber0( sdtsldt0( xk, xr
% 10.51/10.90 ) ) }.
% 10.51/10.90 substitution0:
% 10.51/10.90 X := sdtsldt0( xk, xr )
% 10.51/10.90 end
% 10.51/10.90 substitution1:
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 paramod: (30437) {G1,W11,D4,L1,V0,M1} { ! sdtasdt0( sdtsldt0( xn, xr ), xm
% 10.51/10.90 ) = sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 parent0[0]: (181) {G0,W11,D4,L1,V0,M1} I { sdtasdt0( xp, sdtsldt0( xk, xr )
% 10.51/10.90 ) ==> sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 parent1[0; 2]: (30436) {G1,W11,D4,L1,V0,M1} { ! sdtasdt0( xp, sdtsldt0( xk
% 10.51/10.90 , xr ) ) = sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 substitution0:
% 10.51/10.90 end
% 10.51/10.90 substitution1:
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 eqrefl: (30438) {G0,W0,D0,L0,V0,M0} { }.
% 10.51/10.90 parent0[0]: (30437) {G1,W11,D4,L1,V0,M1} { ! sdtasdt0( sdtsldt0( xn, xr )
% 10.51/10.90 , xm ) = sdtasdt0( sdtsldt0( xn, xr ), xm ) }.
% 10.51/10.90 substitution0:
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 subsumption: (28615) {G1,W0,D0,L0,V0,M0} R(182,179);d(181);q { }.
% 10.51/10.90 parent0: (30438) {G0,W0,D0,L0,V0,M0} { }.
% 10.51/10.90 substitution0:
% 10.51/10.90 end
% 10.51/10.90 permutation0:
% 10.51/10.90 end
% 10.51/10.90
% 10.51/10.90 Proof check complete!
% 10.51/10.90
% 10.51/10.90 Memory use:
% 10.51/10.90
% 10.51/10.90 space for terms: 562074
% 10.51/10.90 space for clauses: 1325770
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 clauses generated: 166341
% 10.51/10.90 clauses kept: 28616
% 10.51/10.90 clauses selected: 657
% 10.51/10.90 clauses deleted: 4026
% 10.51/10.90 clauses inuse deleted: 10
% 10.51/10.90
% 10.51/10.90 subsentry: 650941
% 10.51/10.90 literals s-matched: 357028
% 10.51/10.90 literals matched: 289241
% 10.51/10.90 full subsumption: 244526
% 10.51/10.90
% 10.51/10.90 checksum: 68664296
% 10.51/10.90
% 10.51/10.90
% 10.51/10.90 Bliksem ended
%------------------------------------------------------------------------------