%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM504+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 06:22:59 EDT 2022
% Result : Theorem 30.45s 30.89s
% Output : Refutation 30.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM504+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 06:08:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09
% 0.72/1.09 { && }.
% 0.72/1.09 { aNaturalNumber0( sz00 ) }.
% 0.72/1.09 { aNaturalNumber0( sz10 ) }.
% 0.72/1.09 { ! sz10 = sz00 }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.72/1.09 ( X, Y ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.72/1.09 ( X, Y ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.72/1.09 sdtpldt0( Y, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.09 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.72/1.09 sdtasdt0( Y, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.09 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.72/1.09 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.09 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.72/1.09 , Z ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.09 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.72/1.09 , X ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.72/1.09 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.72/1.09 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.72/1.09 , X = sz00 }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.72/1.09 , Y = sz00 }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.72/1.09 , X = sz00, Y = sz00 }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.72/1.09 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.72/1.09 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.72/1.09 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.72/1.09 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.72/1.09 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.72/1.09 sdtlseqdt0( Y, X ), X = Y }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.72/1.09 X }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.72/1.09 sdtlseqdt0( Y, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.72/1.09 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.72/1.09 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.72/1.09 ) ) }.
% 0.72/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.72/1.09 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.72/1.09 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.72/1.09 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.72/1.09 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.72/1.09 ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.72/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.72/1.09 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.72/1.09 sdtasdt0( Z, X ) ) }.
% 0.72/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.72/1.09 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.72/1.09 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.72/1.09 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.72/1.09 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.72/1.09 ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.72/1.09 sdtasdt0( Y, X ) ) }.
% 0.72/1.09 { && }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.72/1.09 ), iLess0( X, Y ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.72/1.09 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.72/1.09 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.09 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.09 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.09 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.72/1.09 ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.72/1.09 ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.72/1.09 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.72/1.09 Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.72/1.09 sz00, sdtlseqdt0( X, Y ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.72/1.09 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.72/1.09 ( sdtasdt0( Z, Y ), X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.72/1.09 { ! alpha1( X ), ! X = sz10 }.
% 0.72/1.09 { ! alpha1( X ), alpha2( X ) }.
% 0.72/1.09 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.72/1.09 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.72/1.09 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.72/1.09 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.72/1.09 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.72/1.09 { ! Y = sz10, alpha4( X, Y ) }.
% 0.72/1.09 { ! Y = X, alpha4( X, Y ) }.
% 0.72/1.09 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.72/1.09 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.72/1.09 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.72/1.09 }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.72/1.09 .
% 0.72/1.09 { aNaturalNumber0( xn ) }.
% 0.72/1.09 { aNaturalNumber0( xm ) }.
% 0.72/1.09 { aNaturalNumber0( xp ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.09 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.72/1.09 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.72/1.09 ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 0.72/1.09 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.72/1.09 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.72/1.46 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z
% 0.72/1.46 ), alpha10( Y, Z ) }.
% 0.72/1.46 { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.72/1.46 { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.72/1.46 { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 0.72/1.46 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.72/1.46 alpha10( X, Y ) }.
% 0.72/1.46 { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.72/1.46 { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.72/1.46 { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 0.72/1.46 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.72/1.46 alpha8( X, Y ) }.
% 0.72/1.46 { ! alpha7( X ), alpha9( X ) }.
% 0.72/1.46 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.72/1.46 { ! alpha9( X ), isPrime0( X ), alpha7( X ) }.
% 0.72/1.46 { ! alpha9( X ), alpha11( X ), alpha12( X ) }.
% 0.72/1.46 { ! alpha11( X ), alpha9( X ) }.
% 0.72/1.46 { ! alpha12( X ), alpha9( X ) }.
% 0.72/1.46 { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 0.72/1.46 { ! alpha12( X ), ! skol7( X ) = X }.
% 0.72/1.46 { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 0.72/1.46 { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 0.72/1.46 { ! alpha13( X, Y ), ! Y = sz10 }.
% 0.72/1.46 { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y ) }.
% 0.72/1.46 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.72/1.46 { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 0.72/1.46 { ! alpha15( X, Y ), ! doDivides0( Y, X ), alpha14( X, Y ) }.
% 0.72/1.46 { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 0.72/1.46 { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.72/1.46 { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.72/1.46 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.72/1.46 alpha15( X, Y ) }.
% 0.72/1.46 { ! alpha11( X ), X = sz00, X = sz10 }.
% 0.72/1.46 { ! X = sz00, alpha11( X ) }.
% 0.72/1.46 { ! X = sz10, alpha11( X ) }.
% 0.72/1.46 { ! xp = sz00 }.
% 0.72/1.46 { ! xp = sz10 }.
% 0.72/1.46 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.72/1.46 X = sz10, X = xp }.
% 0.72/1.46 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.72/1.46 { isPrime0( xp ) }.
% 0.72/1.46 { aNaturalNumber0( skol9 ) }.
% 0.72/1.46 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.72/1.46 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.72/1.46 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 0.72/1.46 { ! sdtlseqdt0( xp, xn ) }.
% 0.72/1.46 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 0.72/1.46 { ! sdtlseqdt0( xp, xm ) }.
% 0.72/1.46 { ! xn = xp }.
% 0.72/1.46 { aNaturalNumber0( skol10 ) }.
% 0.72/1.46 { sdtpldt0( xn, skol10 ) = xp }.
% 0.72/1.46 { sdtlseqdt0( xn, xp ) }.
% 0.72/1.46 { ! xm = xp }.
% 0.72/1.46 { aNaturalNumber0( skol15 ) }.
% 0.72/1.46 { sdtpldt0( xm, skol15 ) = xp }.
% 0.72/1.46 { sdtlseqdt0( xm, xp ) }.
% 0.72/1.46 { aNaturalNumber0( xk ) }.
% 0.72/1.46 { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 0.72/1.46 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 0.72/1.46 { ! xk = sz00 }.
% 0.72/1.46 { ! xk = sz10 }.
% 0.72/1.46 { ! xk = sz00 }.
% 0.72/1.46 { ! xk = sz10 }.
% 0.72/1.46 { aNaturalNumber0( xr ) }.
% 0.72/1.46 { aNaturalNumber0( skol11 ) }.
% 0.72/1.46 { xk = sdtasdt0( xr, skol11 ) }.
% 0.72/1.46 { doDivides0( xr, xk ) }.
% 0.72/1.46 { ! xr = sz00 }.
% 0.72/1.46 { ! xr = sz10 }.
% 0.72/1.46 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xr = sdtasdt0( X, Y ),
% 0.72/1.46 X = sz10, X = xr }.
% 0.72/1.46 { ! aNaturalNumber0( X ), ! doDivides0( X, xr ), X = sz10, X = xr }.
% 0.72/1.46 { isPrime0( xr ) }.
% 0.72/1.46 { aNaturalNumber0( skol12 ) }.
% 0.72/1.46 { sdtpldt0( xr, skol12 ) = xk }.
% 0.72/1.46 { aNaturalNumber0( skol16 ) }.
% 0.72/1.46 { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol16 ) }.
% 0.72/1.46 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 0.72/1.46 { aNaturalNumber0( skol13 ) }.
% 0.72/1.46 { sdtpldt0( xp, skol13 ) = xk }.
% 0.72/1.46 { sdtlseqdt0( xp, xk ) }.
% 0.72/1.46 { ! sdtasdt0( xn, xm ) = sdtasdt0( xp, xm ) }.
% 0.72/1.46 { aNaturalNumber0( skol14 ) }.
% 0.72/1.46 { sdtpldt0( sdtasdt0( xn, xm ), skol14 ) = sdtasdt0( xp, xm ) }.
% 0.72/1.46 { sdtlseqdt0( sdtasdt0( xn, xm ), sdtasdt0( xp, xm ) ) }.
% 0.72/1.46 { ! sdtasdt0( xp, xm ) = sdtasdt0( xp, xk ) }.
% 0.72/1.46 { aNaturalNumber0( skol17 ) }.
% 0.72/1.46 { sdtpldt0( sdtasdt0( xp, xm ), skol17 ) = sdtasdt0( xp, xk ) }.
% 0.72/1.46 { sdtlseqdt0( sdtasdt0( xp, xm ), sdtasdt0( xp, xk ) ) }.
% 0.72/1.46 { ! || }.
% 0.72/1.46
% 0.72/1.46 percentage equality = 0.292208, percentage horn = 0.778443
% 0.72/1.46 This is a problem with some equality
% 0.72/1.46
% 0.72/1.46
% 0.72/1.46
% 0.72/1.46 Options Used:
% 0.72/1.46
% 0.72/1.46 useres = 1
% 0.72/1.46 useparamod = 1
% 0.72/1.46 useeqrefl = 1
% 0.72/1.46 useeqfact = 1
% 0.72/1.46 usefactor = 1
% 0.72/1.46 usesimpsplitting = 0
% 0.72/1.46 usesimpdemod = 5
% 0.72/1.46 usesimpres = 3
% 0.72/1.46
% 0.72/1.46 resimpinuse = 1000
% 0.72/1.46 resimpclauses = 20000
% 0.72/1.46 substype = eqrewr
% 0.72/1.46 backwardsubs = 1
% 0.72/1.46 selectoldest = 5
% 0.72/1.46
% 0.72/1.46 litorderings [0] = split
% 0.72/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.46
% 0.72/1.46 termordering = kbo
% 0.72/1.46
% 0.72/1.46 litapriori = 0
% 0.72/1.46 termapriori = 1
% 30.45/30.89 litaposteriori = 0
% 30.45/30.89 termaposteriori = 0
% 30.45/30.89 demodaposteriori = 0
% 30.45/30.89 ordereqreflfact = 0
% 30.45/30.89
% 30.45/30.89 litselect = negord
% 30.45/30.89
% 30.45/30.89 maxweight = 15
% 30.45/30.89 maxdepth = 30000
% 30.45/30.89 maxlength = 115
% 30.45/30.89 maxnrvars = 195
% 30.45/30.89 excuselevel = 1
% 30.45/30.89 increasemaxweight = 1
% 30.45/30.89
% 30.45/30.89 maxselected = 10000000
% 30.45/30.89 maxnrclauses = 10000000
% 30.45/30.89
% 30.45/30.89 showgenerated = 0
% 30.45/30.89 showkept = 0
% 30.45/30.89 showselected = 0
% 30.45/30.89 showdeleted = 0
% 30.45/30.89 showresimp = 1
% 30.45/30.89 showstatus = 2000
% 30.45/30.89
% 30.45/30.89 prologoutput = 0
% 30.45/30.89 nrgoals = 5000000
% 30.45/30.89 totalproof = 1
% 30.45/30.89
% 30.45/30.89 Symbols occurring in the translation:
% 30.45/30.89
% 30.45/30.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 30.45/30.89 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 30.45/30.89 || [2, 0] (w:1, o:3, a:1, s:1, b:0),
% 30.45/30.89 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 30.45/30.89 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 30.45/30.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 30.45/30.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 30.45/30.89 aNaturalNumber0 [36, 1] (w:1, o:32, a:1, s:1, b:0),
% 30.45/30.89 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 30.45/30.89 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 30.45/30.89 sdtpldt0 [40, 2] (w:1, o:67, a:1, s:1, b:0),
% 30.45/30.89 sdtasdt0 [41, 2] (w:1, o:68, a:1, s:1, b:0),
% 30.45/30.89 sdtlseqdt0 [43, 2] (w:1, o:69, a:1, s:1, b:0),
% 30.45/30.89 sdtmndt0 [44, 2] (w:1, o:70, a:1, s:1, b:0),
% 30.45/30.89 iLess0 [45, 2] (w:1, o:71, a:1, s:1, b:0),
% 30.45/30.89 doDivides0 [46, 2] (w:1, o:72, a:1, s:1, b:0),
% 30.45/30.89 sdtsldt0 [47, 2] (w:1, o:73, a:1, s:1, b:0),
% 30.45/30.89 isPrime0 [48, 1] (w:1, o:33, a:1, s:1, b:0),
% 30.45/30.89 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 30.45/30.89 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 30.45/30.89 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 30.45/30.89 xk [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 30.45/30.89 xr [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 30.45/30.89 alpha1 [56, 1] (w:1, o:34, a:1, s:1, b:1),
% 30.45/30.89 alpha2 [57, 1] (w:1, o:37, a:1, s:1, b:1),
% 30.45/30.89 alpha3 [58, 2] (w:1, o:74, a:1, s:1, b:1),
% 30.45/30.89 alpha4 [59, 2] (w:1, o:75, a:1, s:1, b:1),
% 30.45/30.89 alpha5 [60, 3] (w:1, o:86, a:1, s:1, b:1),
% 30.45/30.89 alpha6 [61, 3] (w:1, o:87, a:1, s:1, b:1),
% 30.45/30.89 alpha7 [62, 1] (w:1, o:38, a:1, s:1, b:1),
% 30.45/30.89 alpha8 [63, 2] (w:1, o:76, a:1, s:1, b:1),
% 30.45/30.89 alpha9 [64, 1] (w:1, o:39, a:1, s:1, b:1),
% 30.45/30.89 alpha10 [65, 2] (w:1, o:77, a:1, s:1, b:1),
% 30.45/30.89 alpha11 [66, 1] (w:1, o:35, a:1, s:1, b:1),
% 30.45/30.89 alpha12 [67, 1] (w:1, o:36, a:1, s:1, b:1),
% 30.45/30.89 alpha13 [68, 2] (w:1, o:78, a:1, s:1, b:1),
% 30.45/30.89 alpha14 [69, 2] (w:1, o:79, a:1, s:1, b:1),
% 30.45/30.89 alpha15 [70, 2] (w:1, o:80, a:1, s:1, b:1),
% 30.45/30.89 skol1 [71, 2] (w:1, o:81, a:1, s:1, b:1),
% 30.45/30.89 skol2 [72, 2] (w:1, o:82, a:1, s:1, b:1),
% 30.45/30.89 skol3 [73, 1] (w:1, o:40, a:1, s:1, b:1),
% 30.45/30.89 skol4 [74, 1] (w:1, o:41, a:1, s:1, b:1),
% 30.45/30.89 skol5 [75, 2] (w:1, o:83, a:1, s:1, b:1),
% 30.45/30.89 skol6 [76, 2] (w:1, o:84, a:1, s:1, b:1),
% 30.45/30.89 skol7 [77, 1] (w:1, o:42, a:1, s:1, b:1),
% 30.45/30.89 skol8 [78, 2] (w:1, o:85, a:1, s:1, b:1),
% 30.45/30.89 skol9 [79, 0] (w:1, o:18, a:1, s:1, b:1),
% 30.45/30.89 skol10 [80, 0] (w:1, o:19, a:1, s:1, b:1),
% 30.45/30.89 skol11 [81, 0] (w:1, o:20, a:1, s:1, b:1),
% 30.45/30.89 skol12 [82, 0] (w:1, o:21, a:1, s:1, b:1),
% 30.45/30.89 skol13 [83, 0] (w:1, o:22, a:1, s:1, b:1),
% 30.45/30.89 skol14 [84, 0] (w:1, o:23, a:1, s:1, b:1),
% 30.45/30.89 skol15 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 30.45/30.89 skol16 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 30.45/30.89 skol17 [87, 0] (w:1, o:26, a:1, s:1, b:1).
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Starting Search:
% 30.45/30.89
% 30.45/30.89 *** allocated 15000 integers for clauses
% 30.45/30.89 *** allocated 22500 integers for clauses
% 30.45/30.89 *** allocated 33750 integers for clauses
% 30.45/30.89 *** allocated 15000 integers for termspace/termends
% 30.45/30.89 *** allocated 50625 integers for clauses
% 30.45/30.89 *** allocated 75937 integers for clauses
% 30.45/30.89 *** allocated 22500 integers for termspace/termends
% 30.45/30.89 *** allocated 113905 integers for clauses
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 33750 integers for termspace/termends
% 30.45/30.89 *** allocated 50625 integers for termspace/termends
% 30.45/30.89 *** allocated 170857 integers for clauses
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 8476
% 30.45/30.89 Kept: 2054
% 30.45/30.89 Inuse: 111
% 30.45/30.89 Deleted: 0
% 30.45/30.89 Deletedinuse: 0
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 75937 integers for termspace/termends
% 30.45/30.89 *** allocated 256285 integers for clauses
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 19797
% 30.45/30.89 Kept: 4069
% 30.45/30.89 Inuse: 170
% 30.45/30.89 Deleted: 2
% 30.45/30.89 Deletedinuse: 0
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 113905 integers for termspace/termends
% 30.45/30.89 *** allocated 384427 integers for clauses
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 170857 integers for termspace/termends
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 35302
% 30.45/30.89 Kept: 6185
% 30.45/30.89 Inuse: 204
% 30.45/30.89 Deleted: 2
% 30.45/30.89 Deletedinuse: 0
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 576640 integers for clauses
% 30.45/30.89 *** allocated 256285 integers for termspace/termends
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 56773
% 30.45/30.89 Kept: 8610
% 30.45/30.89 Inuse: 248
% 30.45/30.89 Deleted: 3
% 30.45/30.89 Deletedinuse: 0
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 76189
% 30.45/30.89 Kept: 10627
% 30.45/30.89 Inuse: 278
% 30.45/30.89 Deleted: 5
% 30.45/30.89 Deletedinuse: 2
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 864960 integers for clauses
% 30.45/30.89 *** allocated 384427 integers for termspace/termends
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 89349
% 30.45/30.89 Kept: 12644
% 30.45/30.89 Inuse: 323
% 30.45/30.89 Deleted: 6
% 30.45/30.89 Deletedinuse: 3
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 101644
% 30.45/30.89 Kept: 14843
% 30.45/30.89 Inuse: 368
% 30.45/30.89 Deleted: 7
% 30.45/30.89 Deletedinuse: 4
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 120035
% 30.45/30.89 Kept: 16984
% 30.45/30.89 Inuse: 408
% 30.45/30.89 Deleted: 7
% 30.45/30.89 Deletedinuse: 4
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 576640 integers for termspace/termends
% 30.45/30.89 *** allocated 1297440 integers for clauses
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 126069
% 30.45/30.89 Kept: 19129
% 30.45/30.89 Inuse: 468
% 30.45/30.89 Deleted: 10
% 30.45/30.89 Deletedinuse: 7
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying clauses:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 134437
% 30.45/30.89 Kept: 21669
% 30.45/30.89 Inuse: 503
% 30.45/30.89 Deleted: 4226
% 30.45/30.89 Deletedinuse: 8
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 151099
% 30.45/30.89 Kept: 24002
% 30.45/30.89 Inuse: 563
% 30.45/30.89 Deleted: 4228
% 30.45/30.89 Deletedinuse: 10
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 160173
% 30.45/30.89 Kept: 26023
% 30.45/30.89 Inuse: 598
% 30.45/30.89 Deleted: 4228
% 30.45/30.89 Deletedinuse: 10
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 1946160 integers for clauses
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 180330
% 30.45/30.89 Kept: 28029
% 30.45/30.89 Inuse: 718
% 30.45/30.89 Deleted: 4228
% 30.45/30.89 Deletedinuse: 10
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 196530
% 30.45/30.89 Kept: 30062
% 30.45/30.89 Inuse: 763
% 30.45/30.89 Deleted: 4230
% 30.45/30.89 Deletedinuse: 12
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 864960 integers for termspace/termends
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 211198
% 30.45/30.89 Kept: 32210
% 30.45/30.89 Inuse: 793
% 30.45/30.89 Deleted: 4232
% 30.45/30.89 Deletedinuse: 14
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 247070
% 30.45/30.89 Kept: 34211
% 30.45/30.89 Inuse: 875
% 30.45/30.89 Deleted: 4233
% 30.45/30.89 Deletedinuse: 14
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 265781
% 30.45/30.89 Kept: 36228
% 30.45/30.89 Inuse: 919
% 30.45/30.89 Deleted: 4233
% 30.45/30.89 Deletedinuse: 14
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 283839
% 30.45/30.89 Kept: 38281
% 30.45/30.89 Inuse: 961
% 30.45/30.89 Deleted: 4233
% 30.45/30.89 Deletedinuse: 14
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 *** allocated 2919240 integers for clauses
% 30.45/30.89
% 30.45/30.89 Intermediate Status:
% 30.45/30.89 Generated: 296546
% 30.45/30.89 Kept: 40623
% 30.45/30.89 Inuse: 1002
% 30.45/30.89 Deleted: 4234
% 30.45/30.89 Deletedinuse: 15
% 30.45/30.89
% 30.45/30.89 Resimplifying inuse:
% 30.45/30.89 Done
% 30.45/30.89
% 30.45/30.89 Resimplifying clauses:
% 30.45/30.89
% 30.45/30.89 Bliksems!, er is een bewijs:
% 30.45/30.89 % SZS status Theorem
% 30.45/30.89 % SZS output start Refutation
% 30.45/30.89
% 30.45/30.89 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 30.45/30.89 , aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 30.45/30.89 (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 30.45/30.89 , aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 30.45/30.89 (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 30.45/30.89 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 30.45/30.89 (137) {G0,W7,D3,L1,V0,M1} I { sdtasdt0( xp, xk ) ==> sdtasdt0( xn, xm ) }.
% 30.45/30.89 (141) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 30.45/30.89 (152) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol16 ) }.
% 30.45/30.89 (153) {G0,W7,D3,L1,V0,M1} I { sdtasdt0( xr, skol16 ) ==> sdtasdt0( xn, xm )
% 30.45/30.89 }.
% 30.45/30.89 (158) {G0,W7,D3,L1,V0,M1} I { ! sdtasdt0( xp, xm ) ==> sdtasdt0( xn, xm )
% 30.45/30.89 }.
% 30.45/30.89 (159) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol14 ) }.
% 30.45/30.89 (160) {G0,W9,D4,L1,V0,M1} I { sdtpldt0( sdtasdt0( xn, xm ), skol14 ) ==>
% 30.45/30.89 sdtasdt0( xp, xm ) }.
% 30.45/30.89 (161) {G0,W7,D3,L1,V0,M1} I { sdtlseqdt0( sdtasdt0( xn, xm ), sdtasdt0( xp
% 30.45/30.89 , xm ) ) }.
% 30.45/30.89 (164) {G1,W7,D3,L1,V0,M1} I;d(137) { sdtlseqdt0( sdtasdt0( xp, xm ),
% 30.45/30.89 sdtasdt0( xn, xm ) ) }.
% 30.45/30.89 (24809) {G1,W6,D3,L2,V0,M2} P(153,5);r(141) { ! aNaturalNumber0( skol16 ),
% 30.45/30.89 aNaturalNumber0( sdtasdt0( xn, xm ) ) }.
% 30.45/30.89 (25703) {G1,W21,D3,L5,V1,M5} P(32,158) { ! X = sdtasdt0( xn, xm ), !
% 30.45/30.89 aNaturalNumber0( sdtasdt0( xp, xm ) ), ! aNaturalNumber0( X ), !
% 30.45/30.89 sdtlseqdt0( sdtasdt0( xp, xm ), X ), ! sdtlseqdt0( X, sdtasdt0( xp, xm )
% 30.45/30.89 ) }.
% 30.45/30.89 (25734) {G2,W15,D3,L3,V0,M3} Q(25703);r(164) { ! aNaturalNumber0( sdtasdt0
% 30.45/30.89 ( xp, xm ) ), ! aNaturalNumber0( sdtasdt0( xn, xm ) ), ! sdtlseqdt0(
% 30.45/30.89 sdtasdt0( xn, xm ), sdtasdt0( xp, xm ) ) }.
% 30.45/30.89 (26019) {G1,W8,D3,L2,V0,M2} P(160,4);r(159) { ! aNaturalNumber0( sdtasdt0(
% 30.45/30.89 xn, xm ) ), aNaturalNumber0( sdtasdt0( xp, xm ) ) }.
% 30.45/30.89 (42911) {G3,W4,D3,L1,V0,M1} S(25734);r(26019);r(161) { ! aNaturalNumber0(
% 30.45/30.89 sdtasdt0( xn, xm ) ) }.
% 30.45/30.89 (43016) {G4,W0,D0,L0,V0,M0} S(24809);r(152);r(42911) { }.
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 % SZS output end Refutation
% 30.45/30.89 found a proof!
% 30.45/30.89
% 30.45/30.89
% 30.45/30.89 Unprocessed initial clauses:
% 30.45/30.89
% 30.45/30.89 (43018) {G0,W1,D1,L1,V0,M1} { && }.
% 30.45/30.89 (43019) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 30.45/30.89 (43020) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 30.45/30.89 (43021) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 30.45/30.89 (43022) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 30.45/30.89 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 30.45/30.89 (43023) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 30.45/30.89 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 30.45/30.89 (43024) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 30.45/30.89 (43025) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 30.45/30.89 X, sdtpldt0( Y, Z ) ) }.
% 30.45/30.89 (43026) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 30.45/30.89 = X }.
% 30.45/30.89 (43027) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 30.45/30.89 X ) }.
% 30.45/30.89 (43028) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 30.45/30.89 (43029) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 30.45/30.89 X, sdtasdt0( Y, Z ) ) }.
% 30.45/30.89 (43030) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 30.45/30.89 = X }.
% 30.45/30.89 (43031) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 30.45/30.89 X ) }.
% 30.45/30.89 (43032) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 30.45/30.89 = sz00 }.
% 30.45/30.89 (43033) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 30.45/30.89 sz00, X ) }.
% 30.45/30.89 (43034) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 30.45/30.89 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 30.45/30.89 (43035) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 30.45/30.89 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 30.45/30.89 (43036) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 30.45/30.89 }.
% 30.45/30.89 (43037) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 30.45/30.89 }.
% 30.45/30.89 (43038) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 30.45/30.89 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 30.45/30.89 sdtasdt0( X, Z ), Y = Z }.
% 30.45/30.89 (43039) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 30.45/30.89 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 30.45/30.89 sdtasdt0( Z, X ), Y = Z }.
% 30.45/30.89 (43040) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 30.45/30.89 (43041) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 30.45/30.89 (43042) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 30.45/30.89 (43043) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 30.45/30.89 (43044) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 30.45/30.89 (43045) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 30.45/30.89 }.
% 30.45/30.89 (43046) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 30.45/30.89 }.
% 30.45/30.89 (43047) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 30.45/30.89 }.
% 30.45/30.89 (43048) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 30.45/30.89 , Z = sdtmndt0( Y, X ) }.
% 30.45/30.89 (43049) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 30.45/30.89 }.
% 30.45/30.89 (43050) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 30.45/30.89 (43051) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 30.45/30.89 sdtlseqdt0( X, Z ) }.
% 30.45/30.89 (43052) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 30.45/30.89 (43053) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 30.45/30.89 (43054) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 30.45/30.89 ) }.
% 30.45/30.89 (43055) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 30.45/30.89 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 30.45/30.89 (43056) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 30.45/30.89 sdtpldt0( Z, Y ) }.
% 30.45/30.89 (43057) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 30.45/30.89 Z, X ), sdtpldt0( Z, Y ) ) }.
% 30.45/30.89 (43058) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 30.45/30.89 sdtpldt0( Y, Z ) }.
% 30.45/30.89 (43059) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 30.45/30.89 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 30.45/30.89 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 30.45/30.89 (43060) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 30.45/30.89 alpha6( X, Y, Z ) }.
% 30.45/30.89 (43061) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 30.45/30.89 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 30.45/30.89 (43062) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 30.45/30.89 sdtasdt0( X, Z ) }.
% 30.45/30.89 (43063) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 30.45/30.89 X, Y ), sdtasdt0( X, Z ) ) }.
% 30.45/30.89 (43064) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 30.45/30.89 sdtasdt0( Z, X ) }.
% 30.45/30.89 (43065) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 30.45/30.89 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 30.45/30.89 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 30.45/30.89 (43066) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 30.45/30.89 , ! sz10 = X }.
% 30.45/30.89 (43067) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 30.45/30.89 , sdtlseqdt0( sz10, X ) }.
% 30.45/30.89 (43068) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 30.45/30.89 (43069) {G0,W1,D1,L1,V0,M1} { && }.
% 30.45/30.89 (43070) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 30.45/30.89 (43071) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 30.45/30.89 (43072) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 30.45/30.89 (43073) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 30.45/30.89 }.
% 30.45/30.89 (43074) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 30.45/30.89 aNaturalNumber0( Z ) }.
% 30.45/30.89 (43075) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 30.45/30.89 ( X, Z ) }.
% 30.45/30.89 (43076) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 30.45/30.89 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 30.45/30.89 (43077) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 30.45/30.89 doDivides0( X, Z ) }.
% 30.45/30.89 (43078) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 30.45/30.89 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 30.45/30.89 (43079) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 30.45/30.89 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 30.45/30.89 (43080) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 30.45/30.89 (43081) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 30.45/30.89 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 30.45/30.89 (43082) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 30.45/30.89 = sz00 }.
% 30.45/30.89 (43083) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 30.45/30.89 alpha1( X ) }.
% 30.45/30.89 (43084) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 30.45/30.89 X ), isPrime0( X ) }.
% 30.45/30.89 (43085) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 30.45/30.89 (43086) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 30.45/30.89 (43087) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 30.45/30.89 (43088) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 30.45/30.89 Y ) }.
% 30.45/30.89 (43089) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 30.45/30.89 (43090) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 30.45/30.89 (43091) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 30.45/30.89 (43092) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 30.45/30.89 (43093) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 30.45/30.89 (43094) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 30.45/30.89 (43095) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 30.45/30.89 (43096) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 30.45/30.89 , alpha3( X, Y ) }.
% 30.45/30.89 (43097) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 30.45/30.89 , aNaturalNumber0( skol4( Y ) ) }.
% 30.45/30.89 (43098) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 30.45/30.89 , isPrime0( skol4( Y ) ) }.
% 30.45/30.89 (43099) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 30.45/30.89 , doDivides0( skol4( X ), X ) }.
% 30.45/30.89 (43100) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 30.45/30.89 (43101) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 30.45/30.89 (43102) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 30.45/30.89 (43103) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 30.45/30.89 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 30.45/30.89 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha8( X, Z ), alpha10( Y,
% 30.45/30.89 Z ) }.
% 30.45/30.89 (43104) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 30.45/30.89 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 30.45/30.89 xm ), xp ) ), alpha8( X, Z ), alpha10( Y, Z ) }.
% 30.45/30.89 (43105) {G0,W7,D3,L2,V4,M2} { ! alpha10( X, Y ), aNaturalNumber0( skol5( Z
% 30.45/30.89 , T ) ) }.
% 30.45/30.89 (43106) {G0,W10,D4,L2,V2,M2} { ! alpha10( X, Y ), X = sdtasdt0( Y, skol5(
% 30.45/30.89 X, Y ) ) }.
% 30.45/30.89 (43107) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), doDivides0( Y, X ) }.
% 30.45/30.89 (43108) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 30.45/30.89 Z ), ! doDivides0( Y, X ), alpha10( X, Y ) }.
% 30.45/30.89 (43109) {G0,W7,D3,L2,V4,M2} { ! alpha8( X, Y ), aNaturalNumber0( skol6( Z
% 30.45/30.89 , T ) ) }.
% 30.45/30.89 (43110) {G0,W10,D4,L2,V2,M2} { ! alpha8( X, Y ), X = sdtasdt0( Y, skol6( X
% 30.45/30.89 , Y ) ) }.
% 30.45/30.89 (43111) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), doDivides0( Y, X ) }.
% 30.45/30.89 (43112) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 30.45/30.89 Z ), ! doDivides0( Y, X ), alpha8( X, Y ) }.
% 30.45/30.89 (43113) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha9( X ) }.
% 30.45/30.89 (43114) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 30.45/30.89 (43115) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), isPrime0( X ), alpha7( X )
% 30.45/30.89 }.
% 30.45/30.89 (43116) {G0,W6,D2,L3,V1,M3} { ! alpha9( X ), alpha11( X ), alpha12( X )
% 30.45/30.89 }.
% 30.45/30.89 (43117) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha9( X ) }.
% 30.45/30.89 (43118) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha9( X ) }.
% 30.45/30.89 (43119) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), alpha13( X, skol7( X ) ) }.
% 30.45/30.89 (43120) {G0,W6,D3,L2,V1,M2} { ! alpha12( X ), ! skol7( X ) = X }.
% 30.45/30.89 (43121) {G0,W8,D2,L3,V2,M3} { ! alpha13( X, Y ), Y = X, alpha12( X ) }.
% 30.45/30.89 (43122) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha14( X, Y ) }.
% 30.45/30.89 (43123) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), ! Y = sz10 }.
% 30.45/30.89 (43124) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), Y = sz10, alpha13( X, Y )
% 30.45/30.89 }.
% 30.45/30.89 (43125) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 30.45/30.89 (43126) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), doDivides0( Y, X ) }.
% 30.45/30.89 (43127) {G0,W9,D2,L3,V2,M3} { ! alpha15( X, Y ), ! doDivides0( Y, X ),
% 30.45/30.89 alpha14( X, Y ) }.
% 30.45/30.89 (43128) {G0,W5,D2,L2,V2,M2} { ! alpha15( X, Y ), aNaturalNumber0( Y ) }.
% 30.45/30.89 (43129) {G0,W7,D3,L2,V4,M2} { ! alpha15( X, Y ), aNaturalNumber0( skol8( Z
% 30.45/30.89 , T ) ) }.
% 30.45/30.89 (43130) {G0,W10,D4,L2,V2,M2} { ! alpha15( X, Y ), X = sdtasdt0( Y, skol8(
% 30.45/30.89 X, Y ) ) }.
% 30.45/30.89 (43131) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 30.45/30.89 Z ), ! X = sdtasdt0( Y, Z ), alpha15( X, Y ) }.
% 30.45/30.89 (43132) {G0,W8,D2,L3,V1,M3} { ! alpha11( X ), X = sz00, X = sz10 }.
% 30.45/30.89 (43133) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha11( X ) }.
% 30.45/30.89 (43134) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha11( X ) }.
% 30.45/30.89 (43135) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 30.45/30.89 (43136) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 30.45/30.89 (43137) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.45/30.89 Y ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 30.45/30.89 (43138) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 30.45/30.89 ), X = sz10, X = xp }.
% 30.45/30.89 (43139) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 30.45/30.89 (43140) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 30.45/30.89 (43141) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 )
% 30.45/30.89 }.
% 30.45/30.89 (43142) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 30.45/30.89 (43143) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 30.45/30.89 = xn }.
% 30.45/30.89 (43144) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 30.45/30.89 (43145) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 30.45/30.89 = xm }.
% 30.45/30.89 (43146) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 30.45/30.89 (43147) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 30.45/30.89 (43148) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 30.45/30.89 (43149) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol10 ) = xp }.
% 30.45/30.89 (43150) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 30.45/30.89 (43151) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 30.45/30.89 (43152) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol15 ) }.
% 30.45/30.89 (43153) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol15 ) = xp }.
% 30.45/30.89 (43154) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 30.45/30.89 (43155) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 30.45/30.89 (43156) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 30.45/30.89 (43157) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 30.45/30.89 (43158) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 30.45/30.89 (43159) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 30.45/30.89 (43160) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 30.45/30.89 (43161) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 30.53/30.90 (43162) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 30.53/30.90 (43163) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol11 ) }.
% 30.53/30.90 (43164) {G0,W5,D3,L1,V0,M1} { xk = sdtasdt0( xr, skol11 ) }.
% 30.53/30.90 (43165) {G0,W3,D2,L1,V0,M1} { doDivides0( xr, xk ) }.
% 30.53/30.90 (43166) {G0,W3,D2,L1,V0,M1} { ! xr = sz00 }.
% 30.53/30.90 (43167) {G0,W3,D2,L1,V0,M1} { ! xr = sz10 }.
% 30.53/30.90 (43168) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 30.53/30.90 Y ), ! xr = sdtasdt0( X, Y ), X = sz10, X = xr }.
% 30.53/30.90 (43169) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xr
% 30.53/30.90 ), X = sz10, X = xr }.
% 30.53/30.90 (43170) {G0,W2,D2,L1,V0,M1} { isPrime0( xr ) }.
% 30.53/30.90 (43171) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol12 ) }.
% 30.53/30.90 (43172) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xr, skol12 ) = xk }.
% 30.53/30.90 (43173) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol16 ) }.
% 30.53/30.90 (43174) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol16 )
% 30.53/30.90 }.
% 30.53/30.90 (43175) {G0,W5,D3,L1,V0,M1} { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 30.53/30.90 (43176) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol13 ) }.
% 30.53/30.90 (43177) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xp, skol13 ) = xk }.
% 30.53/30.90 (43178) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xp, xk ) }.
% 30.53/30.90 (43179) {G0,W7,D3,L1,V0,M1} { ! sdtasdt0( xn, xm ) = sdtasdt0( xp, xm )
% 30.53/30.90 }.
% 30.53/30.90 (43180) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol14 ) }.
% 30.53/30.90 (43181) {G0,W9,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xn, xm ), skol14 ) =
% 30.53/30.90 sdtasdt0( xp, xm ) }.
% 30.53/30.90 (43182) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xn, xm ), sdtasdt0( xp
% 30.53/30.90 , xm ) ) }.
% 30.53/30.90 (43183) {G0,W7,D3,L1,V0,M1} { ! sdtasdt0( xp, xm ) = sdtasdt0( xp, xk )
% 30.53/30.90 }.
% 30.53/30.90 (43184) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol17 ) }.
% 30.53/30.90 (43185) {G0,W9,D4,L1,V0,M1} { sdtpldt0( sdtasdt0( xp, xm ), skol17 ) =
% 30.53/30.90 sdtasdt0( xp, xk ) }.
% 30.53/30.90 (43186) {G0,W7,D3,L1,V0,M1} { sdtlseqdt0( sdtasdt0( xp, xm ), sdtasdt0( xp
% 30.53/30.90 , xk ) ) }.
% 30.53/30.90 (43187) {G0,W1,D1,L1,V0,M1} { ! || }.
% 30.53/30.90
% 30.53/30.90
% 30.53/30.90 Total Proof:
% 30.53/30.90
% 30.53/30.90 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 30.53/30.90 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 30.53/30.90 parent0: (43022) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 30.53/30.90 aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 30.53/30.90 substitution0:
% 30.53/30.90 X := X
% 30.53/30.90 Y := Y
% 30.53/30.90 end
% 30.53/30.90 permutation0:
% 30.53/30.90 0 ==> 0
% 30.53/30.90 1 ==> 1
% 30.53/30.90 2 ==> 2
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 subsumption: (5) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), !
% 30.53/30.90 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 30.53/30.90 parent0: (43023) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), !
% 30.53/30.90 aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 30.53/30.90 substitution0:
% 30.53/30.90 X := X
% 30.53/30.90 Y := Y
% 30.53/30.90 end
% 30.53/30.90 permutation0:
% 30.53/30.90 0 ==> 0
% 30.53/30.90 1 ==> 1
% 30.53/30.90 2 ==> 2
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 subsumption: (32) {G0,W13,D2,L5,V2,M5} I { ! aNaturalNumber0( X ), !
% 30.53/30.90 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 30.53/30.90 }.
% 30.53/30.90 parent0: (43050) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), !
% 30.53/30.90 aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y
% 30.53/30.90 }.
% 30.53/30.90 substitution0:
% 30.53/30.90 X := X
% 30.53/30.90 Y := Y
% 30.53/30.90 end
% 30.53/30.90 permutation0:
% 30.53/30.90 0 ==> 0
% 30.53/30.90 1 ==> 1
% 30.53/30.90 2 ==> 2
% 30.53/30.90 3 ==> 3
% 30.53/30.90 4 ==> 4
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 eqswap: (43875) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xp, xk ) = sdtasdt0( xn,
% 30.53/30.90 xm ) }.
% 30.53/30.90 parent0[0]: (43156) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0(
% 30.53/30.90 xp, xk ) }.
% 30.53/30.90 substitution0:
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 subsumption: (137) {G0,W7,D3,L1,V0,M1} I { sdtasdt0( xp, xk ) ==> sdtasdt0
% 30.53/30.90 ( xn, xm ) }.
% 30.53/30.90 parent0: (43875) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xp, xk ) = sdtasdt0( xn,
% 30.53/30.90 xm ) }.
% 30.53/30.90 substitution0:
% 30.53/30.90 end
% 30.53/30.90 permutation0:
% 30.53/30.90 0 ==> 0
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 subsumption: (141) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xr ) }.
% 30.53/30.90 parent0: (43162) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xr ) }.
% 30.53/30.90 substitution0:
% 30.53/30.90 end
% 30.53/30.90 permutation0:
% 30.53/30.90 0 ==> 0
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 subsumption: (152) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( skol16 ) }.
% 30.53/30.90 parent0: (43173) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol16 ) }.
% 30.53/30.90 substitution0:
% 30.53/30.90 end
% 30.53/30.90 permutation0:
% 30.53/30.90 0 ==> 0
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 eqswap: (45423) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xr, skol16 ) = sdtasdt0(
% 30.53/30.90 xn, xm ) }.
% 30.53/30.90 parent0[0]: (43174) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0(
% 30.53/30.90 xr, skol16 ) }.
% 30.53/30.90 substitution0:
% 30.53/30.90 end
% 30.53/30.90
% 30.53/30.90 subsumption: (153) {G0,W7,D3,L1,V0,M1} I { sdtasdt0( xr, skol16 ) ==>
% 30.53/30.90 sdtasdt0( xn, xm ) }.
% 30.53/30.90 parent0: (45423) {G0,W7,D3,L1,V0,M1} Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------