TSTP Solution File: NUM490+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM490+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:22:50 EDT 2022
% Result : Theorem 0.76s 1.17s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM490+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.32 % Computer : n018.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Thu Jul 7 19:24:09 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.76/1.16 *** allocated 10000 integers for termspace/termends
% 0.76/1.16 *** allocated 10000 integers for clauses
% 0.76/1.16 *** allocated 10000 integers for justifications
% 0.76/1.16 Bliksem 1.12
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Automatic Strategy Selection
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Clauses:
% 0.76/1.16
% 0.76/1.16 { && }.
% 0.76/1.16 { aNaturalNumber0( sz00 ) }.
% 0.76/1.16 { aNaturalNumber0( sz10 ) }.
% 0.76/1.16 { ! sz10 = sz00 }.
% 0.76/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.76/1.16 ( X, Y ) ) }.
% 0.76/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.76/1.16 ( X, Y ) ) }.
% 0.76/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.76/1.16 sdtpldt0( Y, X ) }.
% 0.76/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.16 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.76/1.16 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.76/1.16 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.76/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.76/1.16 sdtasdt0( Y, X ) }.
% 0.76/1.16 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.16 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.76/1.17 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.17 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.76/1.17 , Z ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.17 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.76/1.17 , X ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.76/1.17 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.76/1.17 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.76/1.17 , X = sz00 }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.76/1.17 , Y = sz00 }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.76/1.17 , X = sz00, Y = sz00 }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.76/1.17 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.76/1.17 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.76/1.17 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.76/1.17 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.76/1.17 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.76/1.17 sdtlseqdt0( Y, X ), X = Y }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.76/1.17 X }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.76/1.17 sdtlseqdt0( Y, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.76/1.17 ) ) }.
% 0.76/1.17 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.76/1.17 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.76/1.17 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.76/1.17 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.76/1.17 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.76/1.17 ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.76/1.17 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.76/1.17 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.76/1.17 sdtasdt0( Z, X ) ) }.
% 0.76/1.17 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.76/1.17 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.76/1.17 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.76/1.17 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.76/1.17 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.76/1.17 ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.76/1.17 sdtasdt0( Y, X ) ) }.
% 0.76/1.17 { && }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.76/1.17 ), iLess0( X, Y ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.76/1.17 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.76/1.17 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.17 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.17 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.17 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.76/1.17 ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.76/1.17 ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.76/1.17 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.76/1.17 Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.76/1.17 sz00, sdtlseqdt0( X, Y ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.76/1.17 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.76/1.17 ( sdtasdt0( Z, Y ), X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.76/1.17 { ! alpha1( X ), ! X = sz10 }.
% 0.76/1.17 { ! alpha1( X ), alpha2( X ) }.
% 0.76/1.17 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.76/1.17 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.76/1.17 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.17 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.17 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.76/1.17 { ! Y = sz10, alpha4( X, Y ) }.
% 0.76/1.17 { ! Y = X, alpha4( X, Y ) }.
% 0.76/1.17 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.76/1.17 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.76/1.17 }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.76/1.17 .
% 0.76/1.17 { aNaturalNumber0( xn ) }.
% 0.76/1.17 { aNaturalNumber0( xm ) }.
% 0.76/1.17 { aNaturalNumber0( xp ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.17 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.76/1.17 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.76/1.17 ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.76/1.17 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.76/1.17 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z
% 0.76/1.17 ), alpha10( Y, Z ) }.
% 0.76/1.17 { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.76/1.17 { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.76/1.17 { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.76/1.17 alpha10( X, Y ) }.
% 0.76/1.17 { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.76/1.17 { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.76/1.17 { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.76/1.17 alpha8( X, Y ) }.
% 0.76/1.17 { ! alpha7( X ), alpha9( X ) }.
% 0.76/1.17 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.76/1.17 { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.76/1.17 { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.76/1.17 { ! alpha11( X ), alpha9( X ) }.
% 0.76/1.17 { ! alpha12( X ), alpha9( X ) }.
% 0.76/1.17 { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.76/1.17 { ! alpha12( X ), ! skol7( X ) = X }.
% 0.76/1.17 { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.76/1.17 { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.76/1.17 { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.76/1.17 { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y ) }.
% 0.76/1.17 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.76/1.17 { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 { ! alpha15( X, Y ), ! doDivides0( Y, X ), alpha14( X, Y ) }.
% 0.76/1.17 { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.76/1.17 { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.76/1.17 { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.76/1.17 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.76/1.17 alpha15( X, Y ) }.
% 0.76/1.17 { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.76/1.17 { ! X = sz00, alpha11( X ) }.
% 0.76/1.17 { ! X = sz10, alpha11( X ) }.
% 0.76/1.17 { ! xp = sz00 }.
% 0.76/1.17 { ! xp = sz10 }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.76/1.17 X = sz10, X = xp }.
% 0.76/1.17 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.76/1.17 { isPrime0( xp ) }.
% 0.76/1.17 { aNaturalNumber0( skol9 ) }.
% 0.76/1.17 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.76/1.17 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.76/1.17 { aNaturalNumber0( skol10 ) }.
% 0.76/1.17 { sdtpldt0( xp, skol10 ) = xn }.
% 0.76/1.17 { sdtlseqdt0( xp, xn ) }.
% 0.76/1.17 { aNaturalNumber0( xr ) }.
% 0.76/1.17 { sdtpldt0( xp, xr ) = xn }.
% 0.76/1.17 { xr = sdtmndt0( xn, xp ) }.
% 0.76/1.17 { ! xr = xn }.
% 0.76/1.17 { aNaturalNumber0( skol11 ) }.
% 0.76/1.17 { sdtpldt0( xr, skol11 ) = xn }.
% 0.76/1.17 { sdtlseqdt0( xr, xn ) }.
% 0.76/1.17 { xn = sdtpldt0( xp, xr ) }.
% 0.76/1.17 { sdtasdt0( xn, xm ) = sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr, xm ) ) }
% 0.76/1.17 .
% 0.76/1.17 { ! sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr, xm ) ) = sdtasdt0( xn, xm )
% 0.76/1.17 }.
% 0.76/1.17 { ! sdtasdt0( xr, xm ) = sdtmndt0( sdtasdt0( xn, xm ), sdtasdt0( xp, xm ) )
% 0.76/1.17 }.
% 0.76/1.17
% 0.76/1.17 percentage equality = 0.280660, percentage horn = 0.746377
% 0.76/1.17 This is a problem with some equality
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Options Used:
% 0.76/1.17
% 0.76/1.17 useres = 1
% 0.76/1.17 useparamod = 1
% 0.76/1.17 useeqrefl = 1
% 0.76/1.17 useeqfact = 1
% 0.76/1.17 usefactor = 1
% 0.76/1.17 usesimpsplitting = 0
% 0.76/1.17 usesimpdemod = 5
% 0.76/1.17 usesimpres = 3
% 0.76/1.17
% 0.76/1.17 resimpinuse = 1000
% 0.76/1.17 resimpclauses = 20000
% 0.76/1.17 substype = eqrewr
% 0.76/1.17 backwardsubs = 1
% 0.76/1.17 selectoldest = 5
% 0.76/1.17
% 0.76/1.17 litorderings [0] = split
% 0.76/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.17
% 0.76/1.17 termordering = kbo
% 0.76/1.17
% 0.76/1.17 litapriori = 0
% 0.76/1.17 termapriori = 1
% 0.76/1.17 litaposteriori = 0
% 0.76/1.17 termaposteriori = 0
% 0.76/1.17 demodaposteriori = 0
% 0.76/1.17 ordereqreflfact = 0
% 0.76/1.17
% 0.76/1.17 litselect = negord
% 0.76/1.17
% 0.76/1.17 maxweight = 15
% 0.76/1.17 maxdepth = 30000
% 0.76/1.17 maxlength = 115
% 0.76/1.17 maxnrvars = 195
% 0.76/1.17 excuselevel = 1
% 0.76/1.17 increasemaxweight = 1
% 0.76/1.17
% 0.76/1.17 maxselected = 10000000
% 0.76/1.17 maxnrclauses = 10000000
% 0.76/1.17
% 0.76/1.17 showgenerated = 0
% 0.76/1.17 showkept = 0
% 0.76/1.17 showselected = 0
% 0.76/1.17 showdeleted = 0
% 0.76/1.17 showresimp = 1
% 0.76/1.17 showstatus = 2000
% 0.76/1.17
% 0.76/1.17 prologoutput = 0
% 0.76/1.17 nrgoals = 5000000
% 0.76/1.17 totalproof = 1
% 0.76/1.17
% 0.76/1.17 Symbols occurring in the translation:
% 0.76/1.17
% 0.76/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.17 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.76/1.17 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.76/1.17 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.76/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.17 aNaturalNumber0 [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.76/1.17 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.76/1.17 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.76/1.17 sdtpldt0 [40, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.76/1.17 sdtasdt0 [41, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.17 sdtlseqdt0 [43, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.17 sdtmndt0 [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.76/1.17 iLess0 [45, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.76/1.17 doDivides0 [46, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.76/1.17 sdtsldt0 [47, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.76/1.17 isPrime0 [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.76/1.17 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.76/1.17 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.76/1.17 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.76/1.17 xr [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.76/1.17 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.76/1.17 alpha2 [56, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.76/1.17 alpha3 [57, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.76/1.17 alpha4 [58, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.76/1.17 alpha5 [59, 3] (w:1, o:79, a:1, s:1, b:1),
% 0.76/1.17 alpha6 [60, 3] (w:1, o:80, a:1, s:1, b:1),
% 0.76/1.17 alpha7 [61, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.76/1.17 alpha8 [62, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.76/1.17 alpha9 [63, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.76/1.17 alpha10 [64, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.76/1.17 alpha11 [65, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.76/1.17 alpha12 [66, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.76/1.17 alpha13 [67, 2] (w:1, o:71, a:1, s:1, b:1),
% 0.76/1.17 alpha14 [68, 2] (w:1, o:72, a:1, s:1, b:1),
% 0.76/1.17 alpha15 [69, 2] (w:1, o:73, a:1, s:1, b:1),
% 0.76/1.17 skol1 [70, 2] (w:1, o:74, a:1, s:1, b:1),
% 0.76/1.17 skol2 [71, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.76/1.17 skol3 [72, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.76/1.17 skol4 [73, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.76/1.17 skol5 [74, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.76/1.17 skol6 [75, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.76/1.17 skol7 [76, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.76/1.17 skol8 [77, 2] (w:1, o:78, a:1, s:1, b:1),
% 0.76/1.17 skol9 [78, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.76/1.17 skol10 [79, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.76/1.17 skol11 [80, 0] (w:1, o:19, a:1, s:1, b:1).
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Starting Search:
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Bliksems!, er is een bewijs:
% 0.76/1.17 % SZS status Theorem
% 0.76/1.17 % SZS output start Refutation
% 0.76/1.17
% 0.76/1.17 (134) {G0,W11,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr,
% 0.76/1.17 xm ) ) ==> sdtasdt0( xn, xm ) }.
% 0.76/1.17 (135) {G1,W0,D0,L0,V0,M0} I;d(134);q { }.
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 % SZS output end Refutation
% 0.76/1.17 found a proof!
% 0.76/1.17
% 0.76/1.17 *** allocated 15000 integers for clauses
% 0.76/1.17
% 0.76/1.17 Unprocessed initial clauses:
% 0.76/1.17
% 0.76/1.17 (137) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.17 (138) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.76/1.17 (139) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 0.76/1.17 (140) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 0.76/1.17 (141) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.17 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 0.76/1.17 (142) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.76/1.17 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 0.76/1.17 (143) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.76/1.17 (144) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 0.76/1.17 , sdtpldt0( Y, Z ) ) }.
% 0.76/1.17 (145) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 0.76/1.17 X }.
% 0.76/1.17 (146) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 0.76/1.17 ) }.
% 0.76/1.17 (147) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.76/1.17 (148) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 0.76/1.17 , sdtasdt0( Y, Z ) ) }.
% 0.76/1.17 (149) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 0.76/1.17 X }.
% 0.76/1.17 (150) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 0.76/1.17 ) }.
% 0.76/1.17 (151) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 0.76/1.17 sz00 }.
% 0.76/1.17 (152) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 0.76/1.17 , X ) }.
% 0.76/1.17 (153) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 0.76/1.17 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.76/1.17 (154) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 0.76/1.17 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.76/1.17 (155) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 0.76/1.17 }.
% 0.76/1.17 (156) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 0.76/1.17 }.
% 0.76/1.17 (157) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.76/1.17 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 0.76/1.17 sdtasdt0( X, Z ), Y = Z }.
% 0.76/1.17 (158) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 0.76/1.17 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 0.76/1.17 sdtasdt0( Z, X ), Y = Z }.
% 0.76/1.17 (159) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 0.76/1.17 (160) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 0.76/1.17 (161) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 0.76/1.17 (162) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 0.76/1.17 (163) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.76/1.17 (164) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 0.76/1.17 }.
% 0.76/1.17 (165) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 0.76/1.17 }.
% 0.76/1.17 (166) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 0.76/1.17 }.
% 0.76/1.17 (167) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 0.76/1.17 , Z = sdtmndt0( Y, X ) }.
% 0.76/1.17 (168) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.76/1.17 (169) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.76/1.17 (170) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 0.76/1.17 sdtlseqdt0( X, Z ) }.
% 0.76/1.17 (171) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 0.76/1.17 (172) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.76/1.17 (173) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 0.76/1.17 ) }.
% 0.76/1.17 (174) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 0.76/1.17 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 0.76/1.17 (175) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 0.76/1.17 sdtpldt0( Z, Y ) }.
% 0.76/1.17 (176) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 0.76/1.17 , X ), sdtpldt0( Z, Y ) ) }.
% 0.76/1.17 (177) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 0.76/1.17 sdtpldt0( Y, Z ) }.
% 0.76/1.17 (178) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 0.76/1.17 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 0.76/1.17 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 0.76/1.17 (179) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6
% 0.76/1.17 ( X, Y, Z ) }.
% 0.76/1.17 (180) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 0.76/1.17 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 0.76/1.17 (181) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 0.76/1.17 sdtasdt0( X, Z ) }.
% 0.76/1.17 (182) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 0.76/1.17 , Y ), sdtasdt0( X, Z ) ) }.
% 0.76/1.17 (183) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 0.76/1.17 sdtasdt0( Z, X ) }.
% 0.76/1.17 (184) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 0.76/1.17 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 0.76/1.17 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 0.76/1.17 (185) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10, !
% 0.76/1.17 sz10 = X }.
% 0.76/1.17 (186) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.76/1.17 sdtlseqdt0( sz10, X ) }.
% 0.76/1.17 (187) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 0.76/1.17 (188) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.17 (189) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 0.76/1.17 (190) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 0.76/1.17 (191) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 0.76/1.17 (192) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 0.76/1.17 }.
% 0.76/1.17 (193) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 0.76/1.17 aNaturalNumber0( Z ) }.
% 0.76/1.17 (194) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 0.76/1.17 ( X, Z ) }.
% 0.76/1.17 (195) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 0.76/1.17 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 0.76/1.17 (196) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 0.76/1.17 doDivides0( X, Z ) }.
% 0.76/1.17 (197) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 0.76/1.17 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 0.76/1.17 (198) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 0.76/1.17 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 0.76/1.17 (199) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 0.76/1.17 (200) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z,
% 0.76/1.17 sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 0.76/1.17 (201) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X =
% 0.76/1.17 sz00 }.
% 0.76/1.17 (202) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 0.76/1.17 alpha1( X ) }.
% 0.76/1.17 (203) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X
% 0.76/1.17 ), isPrime0( X ) }.
% 0.76/1.17 (204) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 0.76/1.17 (205) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.76/1.17 (206) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.76/1.17 (207) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y
% 0.76/1.17 ) }.
% 0.76/1.17 (208) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.17 (209) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.76/1.17 (210) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.76/1.17 (211) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 0.76/1.17 (212) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 0.76/1.17 (213) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.76/1.17 (214) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 (215) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ),
% 0.76/1.17 alpha3( X, Y ) }.
% 0.76/1.17 (216) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.76/1.17 aNaturalNumber0( skol4( Y ) ) }.
% 0.76/1.17 (217) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.76/1.17 isPrime0( skol4( Y ) ) }.
% 0.76/1.17 (218) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 0.76/1.17 doDivides0( skol4( X ), X ) }.
% 0.76/1.17 (219) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 0.76/1.17 (220) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 0.76/1.17 (221) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 0.76/1.17 (222) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 0.76/1.17 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 0.76/1.17 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z ), alpha10( Y,
% 0.76/1.17 Z ) }.
% 0.76/1.17 (223) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 0.76/1.17 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 0.76/1.17 xm ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.76/1.17 (224) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z,
% 0.76/1.17 T ) ) }.
% 0.76/1.17 (225) {G0,W10,D4,L2,V2,M2} { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X
% 0.76/1.17 , Y ) ) }.
% 0.76/1.17 (226) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 (227) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.76/1.17 ), ! doDivides0( Y, X ), alpha10( X, Y ) }.
% 0.76/1.17 (228) {G0,W7,D3,L2,V4,M2} { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T
% 0.76/1.17 ) ) }.
% 0.76/1.17 (229) {G0,W10,D4,L2,V2,M2} { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X,
% 0.76/1.17 Y ) ) }.
% 0.76/1.17 (230) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 (231) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z
% 0.76/1.17 ), ! doDivides0( Y, X ), alpha8( X, Y ) }.
% 0.76/1.17 (232) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha9( X ) }.
% 0.76/1.17 (233) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 0.76/1.17 (234) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.76/1.17 (235) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.76/1.17 (236) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha9( X ) }.
% 0.76/1.17 (237) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha9( X ) }.
% 0.76/1.17 (238) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.76/1.17 (239) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), ! skol7( X ) = X }.
% 0.76/1.17 (240) {G0,W8,D2,L3,V2,M3} { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.76/1.17 (241) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.76/1.17 (242) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.76/1.17 (243) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y )
% 0.76/1.17 }.
% 0.76/1.17 (244) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.76/1.17 (245) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.76/1.17 (246) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! doDivides0( Y, X ),
% 0.76/1.17 alpha14( X, Y ) }.
% 0.76/1.17 (247) {G0,W5,D2,L2,V2,M2} { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.76/1.17 (248) {G0,W7,D3,L2,V4,M2} { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z,
% 0.76/1.17 T ) ) }.
% 0.76/1.17 (249) {G0,W10,D4,L2,V2,M2} { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X
% 0.76/1.17 , Y ) ) }.
% 0.76/1.17 (250) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z
% 0.76/1.17 ), ! X = sdtasdt0( Y, Z ), alpha15( X, Y ) }.
% 0.76/1.17 (251) {G0,W8,D2,L3,V1,M3} { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.76/1.17 (252) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha11( X ) }.
% 0.76/1.17 (253) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha11( X ) }.
% 0.76/1.17 (254) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 0.76/1.17 (255) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 0.76/1.17 (256) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.76/1.17 ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 0.76/1.17 (257) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp )
% 0.76/1.17 , X = sz10, X = xp }.
% 0.76/1.17 (258) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 0.76/1.17 (259) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 0.76/1.17 (260) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.76/1.17 (261) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.76/1.17 (262) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 0.76/1.17 (263) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, skol10 ) = xn }.
% 0.76/1.17 (264) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xn ) }.
% 0.76/1.17 (265) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 0.76/1.17 (266) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, xr ) = xn }.
% 0.76/1.17 (267) {G0,W5,D3,L1,V0,M1} { xr = sdtmndt0( xn, xp ) }.
% 0.76/1.17 (268) {G0,W3,D2,L1,V0,M1} { ! xr = xn }.
% 0.76/1.17 (269) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 0.76/1.17 (270) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xr, skol11 ) = xn }.
% 0.76/1.17 (271) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xr, xn ) }.
% 0.76/1.17 (272) {G0,W5,D3,L1,V0,M1} { xn = sdtpldt0( xp, xr ) }.
% 0.76/1.17 (273) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtpldt0( sdtasdt0( xp,
% 0.80/1.18 xm ), sdtasdt0( xr, xm ) ) }.
% 0.80/1.18 (274) {G0,W11,D4,L1,V0,M1} { ! sdtpldt0( sdtasdt0( xp, xm ), sdtasdt0( xr
% 0.80/1.18 , xm ) ) = sdtasdt0( xn, xm ) }.
% 0.80/1.18 (275) {G0,W11,D4,L1,V0,M1} { ! sdtasdt0( xr, xm ) = sdtmndt0( sdtasdt0( xn
% 0.80/1.18 , xm ), sdtasdt0( xp, xm ) ) }.
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Total Proof:
% 0.80/1.18
% 0.80/1.18 *** allocated 22500 integers for clauses
% 0.80/1.18 *** allocated 15000 integers for termspace/termends
% 0.80/1.18 *** allocated 22500 integers for termspace/termends
% 0.80/1.18 eqswap: (771) {G0,W11,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xp, xm ),
% 0.80/1.18 sdtasdt0( xr, xm ) ) = sdtasdt0( xn, xm ) }.
% 0.80/1.18 parent0[0]: (273) {G0,W11,D4,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtpldt0(
% 0.80/1.18 sdtasdt0( xp, xm ), sdtasdt0( xr, xm ) ) }.
% 0.80/1.18 substitution0:
% 0.80/1.18 end
% 0.80/1.18
% 0.80/1.18 subsumption: (134) {G0,W11,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xp, xm ),
% 0.80/1.18 sdtasdt0( xr, xm ) ) ==> sdtasdt0( xn, xm ) }.
% 0.80/1.18 parent0: (771) {G0,W11,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xp, xm ),
% 0.80/1.18 sdtasdt0( xr, xm ) ) = sdtasdt0( xn, xm ) }.
% 0.80/1.18 substitution0:
% 0.80/1.18 end
% 0.80/1.18 permutation0:
% 0.80/1.18 0 ==> 0
% 0.80/1.18 end
% 0.80/1.18
% 0.80/1.18 *** allocated 33750 integers for clauses
% 0.80/1.18 *** allocated 33750 integers for termspace/termends
% 0.80/1.18 *** allocated 50625 integers for clauses
% 0.80/1.18 paramod: (1415) {G1,W7,D3,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0( xn
% 0.80/1.18 , xm ) }.
% 0.80/1.18 parent0[0]: (134) {G0,W11,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xp, xm ),
% 0.80/1.18 sdtasdt0( xr, xm ) ) ==> sdtasdt0( xn, xm ) }.
% 0.80/1.18 parent1[0; 2]: (274) {G0,W11,D4,L1,V0,M1} { ! sdtpldt0( sdtasdt0( xp, xm )
% 0.80/1.18 , sdtasdt0( xr, xm ) ) = sdtasdt0( xn, xm ) }.
% 0.80/1.18 substitution0:
% 0.80/1.18 end
% 0.80/1.18 substitution1:
% 0.80/1.18 end
% 0.80/1.18
% 0.80/1.18 eqrefl: (1416) {G0,W0,D0,L0,V0,M0} { }.
% 0.80/1.18 parent0[0]: (1415) {G1,W7,D3,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0(
% 0.80/1.18 xn, xm ) }.
% 0.80/1.18 substitution0:
% 0.80/1.18 end
% 0.80/1.18
% 0.80/1.18 subsumption: (135) {G1,W0,D0,L0,V0,M0} I;d(134);q { }.
% 0.80/1.18 parent0: (1416) {G0,W0,D0,L0,V0,M0} { }.
% 0.80/1.18 substitution0:
% 0.80/1.18 end
% 0.80/1.18 permutation0:
% 0.80/1.18 end
% 0.80/1.18
% 0.80/1.18 Proof check complete!
% 0.80/1.18
% 0.80/1.18 Memory use:
% 0.80/1.18
% 0.80/1.18 space for terms: 4983
% 0.80/1.18 space for clauses: 7416
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 clauses generated: 138
% 0.80/1.18 clauses kept: 136
% 0.80/1.18 clauses selected: 0
% 0.80/1.18 clauses deleted: 0
% 0.80/1.18 clauses inuse deleted: 0
% 0.80/1.18
% 0.80/1.18 subsentry: 7289
% 0.80/1.18 literals s-matched: 2910
% 0.80/1.18 literals matched: 2004
% 0.80/1.18 full subsumption: 874
% 0.80/1.18
% 0.80/1.18 checksum: 1264273495
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Bliksem ended
%------------------------------------------------------------------------------