%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM520+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:23:10 EDT 2022
% Result : Theorem 0.69s 1.16s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM520+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Tue Jul 5 10:32:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09
% 0.69/1.09 { && }.
% 0.69/1.09 { aNaturalNumber0( sz00 ) }.
% 0.69/1.09 { aNaturalNumber0( sz10 ) }.
% 0.69/1.09 { ! sz10 = sz00 }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.69/1.09 ( X, Y ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.69/1.09 ( X, Y ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.69/1.09 sdtpldt0( Y, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.09 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.69/1.09 sdtasdt0( Y, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.09 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.69/1.09 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.09 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.69/1.09 , Z ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.09 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.69/1.09 , X ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.69/1.09 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.69/1.09 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.69/1.09 , X = sz00 }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.69/1.09 , Y = sz00 }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.69/1.09 , X = sz00, Y = sz00 }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.69/1.09 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.69/1.09 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.69/1.09 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.69/1.09 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.69/1.09 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.69/1.09 sdtlseqdt0( Y, X ), X = Y }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.69/1.09 X }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.69/1.09 sdtlseqdt0( Y, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.69/1.09 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.69/1.09 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.69/1.09 ) ) }.
% 0.69/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.69/1.09 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.69/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.69/1.09 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.69/1.09 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.69/1.09 ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.69/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.69/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.69/1.09 sdtasdt0( Z, X ) ) }.
% 0.69/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.69/1.09 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.69/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.69/1.09 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.69/1.09 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.69/1.09 ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.69/1.09 sdtasdt0( Y, X ) ) }.
% 0.69/1.09 { && }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.69/1.09 ), iLess0( X, Y ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.69/1.09 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.69/1.09 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.69/1.09 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.69/1.09 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.69/1.09 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.69/1.09 ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.69/1.09 ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.69/1.09 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.69/1.09 Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.69/1.09 sz00, sdtlseqdt0( X, Y ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.69/1.09 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.69/1.09 ( sdtasdt0( Z, Y ), X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.69/1.09 { ! alpha1( X ), ! X = sz10 }.
% 0.69/1.09 { ! alpha1( X ), alpha2( X ) }.
% 0.69/1.09 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.69/1.09 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.69/1.09 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.69/1.09 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.69/1.09 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.69/1.09 { ! Y = sz10, alpha4( X, Y ) }.
% 0.69/1.09 { ! Y = X, alpha4( X, Y ) }.
% 0.69/1.09 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.69/1.09 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.09 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.69/1.09 }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.69/1.09 .
% 0.69/1.09 { aNaturalNumber0( xn ) }.
% 0.69/1.09 { aNaturalNumber0( xm ) }.
% 0.69/1.09 { aNaturalNumber0( xp ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.09 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.69/1.09 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.69/1.09 ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.69/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.69/1.09 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.69/1.16 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z
% 0.69/1.16 ), alpha10( Y, Z ) }.
% 0.69/1.16 { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.69/1.16 { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.69/1.16 { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.16 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.69/1.16 alpha10( X, Y ) }.
% 0.69/1.16 { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.69/1.16 { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.69/1.16 { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.16 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.69/1.16 alpha8( X, Y ) }.
% 0.69/1.16 { ! alpha7( X ), alpha9( X ) }.
% 0.69/1.16 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.69/1.16 { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.69/1.16 { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.69/1.16 { ! alpha11( X ), alpha9( X ) }.
% 0.69/1.16 { ! alpha12( X ), alpha9( X ) }.
% 0.69/1.16 { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.69/1.16 { ! alpha12( X ), ! skol7( X ) = X }.
% 0.69/1.16 { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.69/1.16 { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.69/1.16 { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.69/1.16 { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y ) }.
% 0.69/1.16 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.69/1.16 { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.16 { ! alpha15( X, Y ), ! doDivides0( Y, X ), alpha14( X, Y ) }.
% 0.69/1.16 { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.69/1.16 { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.69/1.16 { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.69/1.16 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.69/1.16 alpha15( X, Y ) }.
% 0.69/1.16 { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.69/1.16 { ! X = sz00, alpha11( X ) }.
% 0.69/1.16 { ! X = sz10, alpha11( X ) }.
% 0.69/1.16 { ! xp = sz00 }.
% 0.69/1.16 { ! xp = sz10 }.
% 0.69/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.69/1.16 X = sz10, X = xp }.
% 0.69/1.16 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.69/1.16 { isPrime0( xp ) }.
% 0.69/1.16 { aNaturalNumber0( skol9 ) }.
% 0.69/1.16 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.69/1.16 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.69/1.16 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 0.69/1.16 { ! sdtlseqdt0( xp, xn ) }.
% 0.69/1.16 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 0.69/1.16 { ! sdtlseqdt0( xp, xm ) }.
% 0.69/1.16 { ! xn = xp }.
% 0.69/1.16 { aNaturalNumber0( skol10 ) }.
% 0.69/1.16 { sdtpldt0( xn, skol10 ) = xp }.
% 0.69/1.16 { sdtlseqdt0( xn, xp ) }.
% 0.69/1.16 { ! xm = xp }.
% 0.69/1.16 { aNaturalNumber0( skol11 ) }.
% 0.69/1.16 { sdtpldt0( xm, skol11 ) = xp }.
% 0.69/1.16 { sdtlseqdt0( xm, xp ) }.
% 0.69/1.16 { aNaturalNumber0( xk ) }.
% 0.69/1.16 { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 0.69/1.16 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 0.69/1.16 { ! xk = sz00 }.
% 0.69/1.16 { ! xk = sz10 }.
% 0.69/1.16 { xk = sz00, xk = sz10 }.
% 0.69/1.16 { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xp, X ) }.
% 0.69/1.16 { ! doDivides0( xp, xn ) }.
% 0.69/1.16 { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xp, X ) }.
% 0.69/1.16 { ! doDivides0( xp, xm ) }.
% 0.69/1.16
% 0.69/1.16 percentage equality = 0.283753, percentage horn = 0.753425
% 0.69/1.16 This is a problem with some equality
% 0.69/1.16
% 0.69/1.16
% 0.69/1.16
% 0.69/1.16 Options Used:
% 0.69/1.16
% 0.69/1.16 useres = 1
% 0.69/1.16 useparamod = 1
% 0.69/1.16 useeqrefl = 1
% 0.69/1.16 useeqfact = 1
% 0.69/1.16 usefactor = 1
% 0.69/1.16 usesimpsplitting = 0
% 0.69/1.16 usesimpdemod = 5
% 0.69/1.16 usesimpres = 3
% 0.69/1.16
% 0.69/1.16 resimpinuse = 1000
% 0.69/1.16 resimpclauses = 20000
% 0.69/1.16 substype = eqrewr
% 0.69/1.16 backwardsubs = 1
% 0.69/1.16 selectoldest = 5
% 0.69/1.16
% 0.69/1.16 litorderings [0] = split
% 0.69/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.16
% 0.69/1.16 termordering = kbo
% 0.69/1.16
% 0.69/1.16 litapriori = 0
% 0.69/1.16 termapriori = 1
% 0.69/1.16 litaposteriori = 0
% 0.69/1.16 termaposteriori = 0
% 0.69/1.16 demodaposteriori = 0
% 0.69/1.16 ordereqreflfact = 0
% 0.69/1.16
% 0.69/1.16 litselect = negord
% 0.69/1.16
% 0.69/1.16 maxweight = 15
% 0.69/1.16 maxdepth = 30000
% 0.69/1.16 maxlength = 115
% 0.69/1.16 maxnrvars = 195
% 0.69/1.16 excuselevel = 1
% 0.69/1.16 increasemaxweight = 1
% 0.69/1.16
% 0.69/1.16 maxselected = 10000000
% 0.69/1.16 maxnrclauses = 10000000
% 0.69/1.16
% 0.69/1.16 showgenerated = 0
% 0.69/1.16 showkept = 0
% 0.69/1.16 showselected = 0
% 0.69/1.16 showdeleted = 0
% 0.69/1.16 showresimp = 1
% 0.69/1.16 showstatus = 2000
% 0.69/1.16
% 0.69/1.16 prologoutput = 0
% 0.69/1.16 nrgoals = 5000000
% 0.69/1.16 totalproof = 1
% 0.69/1.16
% 0.69/1.16 Symbols occurring in the translation:
% 0.69/1.16
% 0.69/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.16 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.69/1.16 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.69/1.16 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.69/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.16 aNaturalNumber0 [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.69/1.16 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.69/1.16 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.69/1.16 sdtpldt0 [40, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.69/1.16 sdtasdt0 [41, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.69/1.16 sdtlseqdt0 [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.69/1.16 sdtmndt0 [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.69/1.16 iLess0 [45, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.69/1.16 doDivides0 [46, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.69/1.16 sdtsldt0 [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.69/1.16 isPrime0 [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.16 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.16 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.16 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.16 xk [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.16 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.69/1.16 alpha2 [56, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.69/1.16 alpha3 [57, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.69/1.16 alpha4 [58, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.69/1.16 alpha5 [59, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.69/1.16 alpha6 [60, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.69/1.16 alpha7 [61, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.69/1.16 alpha8 [62, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.69/1.16 alpha9 [63, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.69/1.16 alpha10 [64, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.69/1.16 alpha11 [65, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.69/1.16 alpha12 [66, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.69/1.16 alpha13 [67, 2] (w:1, o:71, a:1, s:1, b:1),
% 0.69/1.16 alpha14 [68, 2] (w:1, o:72, a:1, s:1, b:1),
% 0.69/1.16 alpha15 [69, 2] (w:1, o:73, a:1, s:1, b:1),
% 0.69/1.16 skol1 [70, 2] (w:1, o:74, a:1, s:1, b:1),
% 0.69/1.16 skol2 [71, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.69/1.16 skol3 [72, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.69/1.16 skol4 [73, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.69/1.16 skol5 [74, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.69/1.16 skol6 [75, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.69/1.16 skol7 [76, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.69/1.16 skol8 [77, 2] (w:1, o:78, a:1, s:1, b:1),
% 0.69/1.16 skol9 [78, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.69/1.16 skol10 [79, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.69/1.16 skol11 [80, 0] (w:1, o:19, a:1, s:1, b:1).
% 0.69/1.16
% 0.69/1.16
% 0.69/1.16 Starting Search:
% 0.69/1.16
% 0.69/1.16 *** allocated 15000 integers for clauses
% 0.69/1.16 *** allocated 22500 integers for clauses
% 0.69/1.16 *** allocated 33750 integers for clauses
% 0.69/1.16 *** allocated 15000 integers for termspace/termends
% 0.69/1.16 *** allocated 50625 integers for clauses
% 0.69/1.16 *** allocated 75937 integers for clauses
% 0.69/1.16 *** allocated 22500 integers for termspace/termends
% 0.69/1.16 Resimplifying inuse:
% 0.69/1.16 Done
% 0.69/1.16
% 0.69/1.16 *** allocated 33750 integers for termspace/termends
% 0.69/1.16
% 0.69/1.16 Bliksems!, er is een bewijs:
% 0.69/1.16 % SZS status Theorem
% 0.69/1.16 % SZS output start Refutation
% 0.69/1.16
% 0.69/1.16 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 0.69/1.16 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 0.69/1.16 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.69/1.16 sdtasdt0( X, Z ), Y = Z }.
% 0.69/1.16 (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 0.69/1.16 (139) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz00 }.
% 0.69/1.16 (140) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz10 }.
% 0.69/1.16 (141) {G0,W6,D2,L2,V0,M2} I { xk ==> sz00, xk ==> sz10 }.
% 0.69/1.16 (1175) {G1,W17,D3,L5,V2,M5} P(20,140);r(136) { ! X = sz10, !
% 0.69/1.16 aNaturalNumber0( Y ), Y = sz00, ! aNaturalNumber0( X ), ! sdtasdt0( Y, xk
% 0.69/1.16 ) = sdtasdt0( Y, X ) }.
% 0.69/1.16 (1191) {G2,W15,D3,L4,V1,M4} F(1175) { ! X = sz10, ! aNaturalNumber0( X ), X
% 0.69/1.16 = sz00, ! sdtasdt0( X, xk ) = sdtasdt0( X, X ) }.
% 0.69/1.16 (1193) {G3,W3,D2,L1,V0,M1} Q(1191);d(141);d(141);q;r(2) { xk ==> sz00 }.
% 0.69/1.16 (1231) {G4,W0,D0,L0,V0,M0} S(1193);r(139) { }.
% 0.69/1.16
% 0.69/1.16
% 0.69/1.16 % SZS output end Refutation
% 0.69/1.16 found a proof!
% 0.69/1.16
% 0.69/1.16 *** allocated 113905 integers for clauses
% 0.69/1.16
% 0.69/1.16 Unprocessed initial clauses:
% 0.69/1.16
% 0.69/1.16 (1233) {G0,W1,D1,L1,V0,M1} { && }.
% 0.69/1.16 (1234) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.69/1.16 (1235) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.69/1.16 (1236) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.69/1.16 (1237) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.69/1.16 (1238) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.69/1.16 (1239) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.69/1.16 (1240) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.69/1.16 , sdtpldt0( Y, Z ) ) }.
% 0.69/1.16 (1241) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.69/1.16 X }.
% 0.69/1.16 (1242) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.69/1.16 ) }.
% 0.69/1.16 (1243) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.69/1.16 (1244) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.69/1.16 , sdtasdt0( Y, Z ) ) }.
% 0.69/1.16 (1245) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.69/1.16 X }.
% 0.69/1.16 (1246) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.69/1.16 ) }.
% 0.69/1.16 (1247) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.69/1.16 sz00 }.
% 0.69/1.16 (1248) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.69/1.16 , X ) }.
% 0.69/1.16 (1249) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.69/1.16 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.69/1.16 (1250) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.69/1.16 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.69/1.16 (1251) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.69/1.16 }.
% 0.69/1.16 (1252) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.69/1.16 }.
% 0.69/1.16 (1253) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.69/1.16 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.69/1.16 sdtasdt0( X, Z ), Y = Z }.
% 0.69/1.16 (1254) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.69/1.16 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.69/1.16 sdtasdt0( Z, X ), Y = Z }.
% 0.69/1.16 (1255) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.69/1.16 (1256) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.69/1.16 (1257) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.69/1.16 (1258) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.69/1.16 (1259) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.69/1.16 (1260) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.69/1.16 }.
% 0.69/1.16 (1261) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.69/1.16 }.
% 0.69/1.16 (1262) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.69/1.16 }.
% 0.69/1.16 (1263) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.69/1.16 , Z = sdtmndt0( Y, X ) }.
% 0.69/1.16 (1264) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 0.69/1.16 }.
% 0.69/1.16 (1265) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.69/1.16 (1266) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.69/1.16 sdtlseqdt0( X, Z ) }.
% 0.69/1.16 (1267) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.69/1.16 (1268) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.69/1.16 (1269) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 0.69/1.16 ) }.
% 0.69/1.16 (1270) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.69/1.16 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.69/1.16 (1271) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.69/1.16 sdtpldt0( Z, Y ) }.
% 0.69/1.16 (1272) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.69/1.16 , X ), sdtpldt0( Z, Y ) ) }.
% 0.69/1.16 (1273) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.69/1.16 sdtpldt0( Y, Z ) }.
% 0.69/1.16 (1274) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.69/1.16 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.69/1.16 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 0.69/1.16 (1275) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6
% 0.69/1.16 ( X, Y, Z ) }.
% 0.69/1.16 (1276) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.69/1.16 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.69/1.16 (1277) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.69/1.16 sdtasdt0( X, Z ) }.
% 0.69/1.16 (1278) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.69/1.16 , Y ), sdtasdt0( X, Z ) ) }.
% 0.69/1.16 (1279) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.69/1.16 sdtasdt0( Z, X ) }.
% 0.69/1.16 (1280) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.69/1.16 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.69/1.16 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 0.69/1.16 (1281) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.69/1.16 ! sz10 = X }.
% 0.69/1.16 (1282) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.69/1.16 sdtlseqdt0( sz10, X ) }.
% 0.69/1.16 (1283) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.69/1.16 (1284) {G0,W1,D1,L1,V0,M1} { && }.
% 0.69/1.16 (1285) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.69/1.16 (1286) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.69/1.16 (1287) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.69/1.16 (1288) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.69/1.16 }.
% 0.69/1.16 (1289) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.69/1.16 aNaturalNumber0( Z ) }.
% 0.69/1.16 (1290) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.69/1.16 ( X, Z ) }.
% 0.69/1.16 (1291) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.69/1.16 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.69/1.16 (1292) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.69/1.16 doDivides0( X, Z ) }.
% 0.69/1.16 (1293) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.69/1.16 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.69/1.16 (1294) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 0.69/1.16 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 0.69/1.16 (1295) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 0.69/1.16 (1296) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z,
% 0.69/1.16 sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 0.69/1.16 (1297) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 0.69/1.16 = sz00 }.
% 0.69/1.16 (1298) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 0.69/1.16 alpha1( X ) }.
% 0.69/1.16 (1299) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X
% 0.69/1.16 ), isPrime0( X ) }.
% 0.69/1.16 (1300) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 0.69/1.16 (1301) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.69/1.16 (1302) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.69/1.16 (1303) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y
% 0.69/1.16 ) }.
% 0.69/1.16 (1304) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.69/1.16 (1305) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.69/1.16 (1306) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.69/1.16 (1307) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 0.69/1.16 (1308) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 0.69/1.16 (1309) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.69/1.16 (1310) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.16 (1311) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 0.69/1.16 , alpha3( X, Y ) }.
% 0.69/1.16 (1312) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.69/1.16 aNaturalNumber0( skol4( Y ) ) }.
% 0.69/1.16 (1313) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.69/1.16 isPrime0( skol4( Y ) ) }.
% 0.69/1.16 (1314) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.69/1.16 doDivides0( skol4( X ), X ) }.
% 0.69/1.16 (1315) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.69/1.16 (1316) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.69/1.16 (1317) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 0.69/1.16 (1318) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 0.69/1.16 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 0.69/1.16 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z ), alpha10( Y,
% 0.69/1.16 Z ) }.
% 0.69/1.16 (1319) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.69/1.16 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 0.69/1.16 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 0.69/1.16 xm ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.69/1.16 (1320) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z
% 0.69/1.16 , T ) ) }.
% 0.69/1.16 (1321) {G0,W10,D4,L2,V2,M2} { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X
% 0.69/1.16 , Y ) ) }.
% 0.69/1.16 (1322) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.16 (1323) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.69/1.16 ), ! doDivides0( Y, X ), alpha10( X, Y ) }.
% 0.69/1.16 (1324) {G0,W7,D3,L2,V4,M2} { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z,
% 0.69/1.16 T ) ) }.
% 0.69/1.16 (1325) {G0,W10,D4,L2,V2,M2} { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X
% 0.69/1.16 , Y ) ) }.
% 0.69/1.16 (1326) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.16 (1327) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.69/1.16 ), ! doDivides0( Y, X ), alpha8( X, Y ) }.
% 0.69/1.16 (1328) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha9( X ) }.
% 0.69/1.16 (1329) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 0.69/1.16 (1330) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.69/1.16 (1331) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.69/1.16 (1332) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha9( X ) }.
% 0.69/1.16 (1333) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha9( X ) }.
% 0.69/1.16 (1334) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.69/1.16 (1335) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), ! skol7( X ) = X }.
% 0.69/1.16 (1336) {G0,W8,D2,L3,V2,M3} { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.69/1.16 (1337) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.69/1.16 (1338) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.69/1.16 (1339) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y )
% 0.69/1.16 }.
% 0.69/1.16 (1340) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.69/1.16 (1341) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.69/1.16 (1342) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! doDivides0( Y, X ),
% 0.69/1.16 alpha14( X, Y ) }.
% 0.69/1.16 (1343) {G0,W5,D2,L2,V2,M2} { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.69/1.16 (1344) {G0,W7,D3,L2,V4,M2} { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z
% 0.69/1.16 , T ) ) }.
% 0.69/1.16 (1345) {G0,W10,D4,L2,V2,M2} { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X
% 0.69/1.16 , Y ) ) }.
% 0.69/1.16 (1346) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z
% 0.69/1.16 ), ! X = sdtasdt0( Y, Z ), alpha15( X, Y ) }.
% 0.69/1.16 (1347) {G0,W8,D2,L3,V1,M3} { ! alpha11( X ), X = sz00, X = sz10 }.
% 2.07/2.45 (1348) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha11( X ) }.
% 2.07/2.45 (1349) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha11( X ) }.
% 2.07/2.45 (1350) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 2.07/2.45 (1351) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 2.07/2.45 (1352) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 2.07/2.45 ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 2.07/2.45 (1353) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 2.07/2.45 ), X = sz10, X = xp }.
% 2.07/2.45 (1354) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 2.07/2.45 (1355) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 2.07/2.45 (1356) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 )
% 2.07/2.45 }.
% 2.07/2.45 (1357) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 2.07/2.45 (1358) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) =
% 2.07/2.45 xn }.
% 2.07/2.45 (1359) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 2.07/2.45 (1360) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) =
% 2.07/2.45 xm }.
% 2.07/2.45 (1361) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 2.07/2.45 (1362) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 2.07/2.45 (1363) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 2.07/2.45 (1364) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol10 ) = xp }.
% 2.07/2.45 (1365) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 2.07/2.45 (1366) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 2.07/2.45 (1367) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 2.07/2.45 (1368) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol11 ) = xp }.
% 2.07/2.45 (1369) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 2.07/2.45 (1370) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 2.07/2.45 (1371) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 2.07/2.45 (1372) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 2.07/2.45 (1373) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 2.07/2.45 (1374) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 2.07/2.45 (1375) {G0,W6,D2,L2,V0,M2} { xk = sz00, xk = sz10 }.
% 2.07/2.45 (1376) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xp,
% 2.07/2.45 X ) }.
% 2.07/2.45 (1377) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xn ) }.
% 2.07/2.45 (1378) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! xm = sdtasdt0( xp,
% 2.07/2.45 X ) }.
% 2.07/2.45 (1379) {G0,W3,D2,L1,V0,M1} { ! doDivides0( xp, xm ) }.
% 2.07/2.45
% 2.07/2.45
% 2.07/2.45 Total Proof:
% 2.07/2.45
% 2.07/2.45 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 2.07/2.45 parent0: (1235) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 2.07/2.45 substitution0:
% 2.07/2.45 end
% 2.07/2.45 permutation0:
% 2.07/2.45 0 ==> 0
% 2.07/2.45 end
% 2.07/2.45
% 2.07/2.45 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 2.07/2.45 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 2.07/2.45 sdtasdt0( X, Z ), Y = Z }.
% 2.07/2.45 parent0: (1253) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 2.07/2.45 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 2.07/2.45 sdtasdt0( X, Z ), Y = Z }.
% 2.07/2.45 substitution0:
% 2.07/2.45 X := X
% 2.07/2.45 Y := Y
% 2.07/2.45 Z := Z
% 2.07/2.45 end
% 2.07/2.45 permutation0:
% 2.07/2.45 0 ==> 0
% 2.07/2.45 1 ==> 1
% 2.07/2.45 2 ==> 2
% 2.07/2.45 3 ==> 3
% 2.07/2.45 4 ==> 4
% 2.07/2.45 5 ==> 5
% 2.07/2.45 end
% 2.07/2.45
% 2.07/2.45 *** allocated 50625 integers for termspace/termends
% 2.07/2.45 subsumption: (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 2.07/2.45 parent0: (1370) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 2.07/2.45 substitution0:
% 2.07/2.45 end
% 2.07/2.45 permutation0:
% 2.07/2.45 0 ==> 0
% 2.07/2.45 end
% 2.07/2.45
% 2.07/2.45 subsumption: (139) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz00 }.
% 2.07/2.45 parent0: (1373) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 2.07/2.45 substitution0:
% 2.07/2.45 end
% 2.07/2.45 permutation0:
% 2.07/2.45 0 ==> 0
% 2.07/2.45 end
% 2.07/2.45
% 2.07/2.45 *** allocated 75937 integers for termspace/termends
% 2.07/2.45 *** allocated 170857 integers for clauses
% 2.07/2.45 subsumption: (140) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz10 }.
% 2.07/2.45 parent0: (1374) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 2.07/2.45 substitution0:
% 2.07/2.45 end
% 2.07/2.45 permutation0:
% 2.07/2.45 0 ==> 0
% 2.07/2.45 end
% 2.07/2.45
% 2.07/2.45 subsumption: (141) {G0,W6,D2,L2,V0,M2} I { xk ==> sz00, xk ==> sz10 }.
% 2.07/2.45 parent0: (1375) {G0,W6,D2,L2,V0,M2} { xk = sz00, xk = sz10 }.
% 2.07/2.45 substitution0:
% 2.07/2.45 end
% 2.07/2.45 permutation0:
% 2.07/2.45 0 ==> 0
% 2.07/2.45 1 ==> 1
% 2.07/2.45 end
% 2.07/2.45
% 2.07/2.45 *** allocated 113905 integers for termspace/termends
% 2.07/2.45 *** allocated 15000 integers for justifications
% 2.07/2.45 *** allocated 22500 integers for justifications
% 2.07/2.45 *** allocated 33750 integers for justifications
% 2.07/2.45 *** allocated 170857 integers for termspace/termends
% 2.07/2.45 *** allocated 256285 integers for clauses
% 2.07/2.45 *** allocated 50625 integers for justifications
% 2.07/2.45 *** allocated 256285 integers for termspace/termends
% 2.07/2.45 *** allocated 75937 integers for justifications
% 2.07/2.45 *** allocated 113905 integers for justifications
% 2.07/2.45 *** allocCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------