TSTP Solution File: NUM500+3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM500+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 06:22:57 EDT 2022
% Result : Theorem 9.96s 10.33s
% Output : Refutation 9.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM500+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Thu Jul 7 01:52:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.80/1.18 *** allocated 10000 integers for termspace/termends
% 0.80/1.18 *** allocated 10000 integers for clauses
% 0.80/1.18 *** allocated 10000 integers for justifications
% 0.80/1.18 Bliksem 1.12
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Automatic Strategy Selection
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Clauses:
% 0.80/1.18
% 0.80/1.18 { && }.
% 0.80/1.18 { aNaturalNumber0( sz00 ) }.
% 0.80/1.18 { aNaturalNumber0( sz10 ) }.
% 0.80/1.18 { ! sz10 = sz00 }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.80/1.18 ( X, Y ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.80/1.18 ( X, Y ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.80/1.18 sdtpldt0( Y, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.80/1.18 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.80/1.18 sdtasdt0( Y, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.80/1.18 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.80/1.18 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.80/1.18 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.80/1.18 , Z ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.80/1.18 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.80/1.18 , X ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.80/1.18 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.80/1.18 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.80/1.18 , X = sz00 }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.80/1.18 , Y = sz00 }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.80/1.18 , X = sz00, Y = sz00 }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.80/1.18 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.80/1.18 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.80/1.18 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.80/1.18 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.80/1.18 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.80/1.18 sdtlseqdt0( Y, X ), X = Y }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.80/1.18 X }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.80/1.18 sdtlseqdt0( Y, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.80/1.18 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.80/1.18 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.80/1.18 ) ) }.
% 0.80/1.18 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.80/1.18 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.80/1.18 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.80/1.18 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.80/1.18 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.80/1.18 ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.80/1.18 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.80/1.18 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.80/1.18 sdtasdt0( Z, X ) ) }.
% 0.80/1.18 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.80/1.18 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.80/1.18 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.80/1.18 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.80/1.18 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.80/1.18 ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.80/1.18 sdtasdt0( Y, X ) ) }.
% 0.80/1.18 { && }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.80/1.18 ), iLess0( X, Y ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.80/1.18 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.80/1.18 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.80/1.18 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.80/1.18 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.80/1.18 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.80/1.18 ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.80/1.18 ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.80/1.18 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.80/1.18 Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.80/1.18 sz00, sdtlseqdt0( X, Y ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.80/1.18 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.80/1.18 ( sdtasdt0( Z, Y ), X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.80/1.18 { ! alpha1( X ), ! X = sz10 }.
% 0.80/1.18 { ! alpha1( X ), alpha2( X ) }.
% 0.80/1.18 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.80/1.18 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.80/1.18 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.80/1.18 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.80/1.18 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.80/1.18 { ! Y = sz10, alpha4( X, Y ) }.
% 0.80/1.18 { ! Y = X, alpha4( X, Y ) }.
% 0.80/1.18 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.80/1.18 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.80/1.18 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.80/1.18 }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.80/1.18 .
% 0.80/1.18 { aNaturalNumber0( xn ) }.
% 0.80/1.18 { aNaturalNumber0( xm ) }.
% 0.80/1.18 { aNaturalNumber0( xp ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.80/1.18 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.80/1.18 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.80/1.18 ), xp ) ), alpha9( X, Z ), alpha13( Y, Z ) }.
% 0.80/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.80/1.18 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.80/1.35 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z
% 0.80/1.35 ), alpha13( Y, Z ) }.
% 0.80/1.35 { ! alpha13( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.80/1.35 { ! alpha13( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.80/1.35 { ! alpha13( X, Y ), doDivides0( Y, X ) }.
% 0.80/1.35 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.80/1.35 alpha13( X, Y ) }.
% 0.80/1.35 { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.80/1.35 { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.80/1.35 { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 0.80/1.35 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.80/1.35 alpha9( X, Y ) }.
% 0.80/1.35 { ! alpha7( X ), alpha10( X ) }.
% 0.80/1.35 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.80/1.35 { ! alpha10( X ), isPrime0( X ), alpha7( X ) }.
% 0.80/1.35 { ! alpha10( X ), alpha14( X ), alpha16( X ) }.
% 0.80/1.35 { ! alpha14( X ), alpha10( X ) }.
% 0.80/1.35 { ! alpha16( X ), alpha10( X ) }.
% 0.80/1.35 { ! alpha16( X ), alpha18( X, skol7( X ) ) }.
% 0.80/1.35 { ! alpha16( X ), ! skol7( X ) = X }.
% 0.80/1.35 { ! alpha18( X, Y ), Y = X, alpha16( X ) }.
% 0.80/1.35 { ! alpha18( X, Y ), alpha20( X, Y ) }.
% 0.80/1.35 { ! alpha18( X, Y ), ! Y = sz10 }.
% 0.80/1.35 { ! alpha20( X, Y ), Y = sz10, alpha18( X, Y ) }.
% 0.80/1.35 { ! alpha20( X, Y ), alpha21( X, Y ) }.
% 0.80/1.35 { ! alpha20( X, Y ), doDivides0( Y, X ) }.
% 0.80/1.35 { ! alpha21( X, Y ), ! doDivides0( Y, X ), alpha20( X, Y ) }.
% 0.80/1.35 { ! alpha21( X, Y ), aNaturalNumber0( Y ) }.
% 0.80/1.35 { ! alpha21( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.80/1.35 { ! alpha21( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.80/1.35 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.80/1.35 alpha21( X, Y ) }.
% 0.80/1.35 { ! alpha14( X ), X = sz00, X = sz10 }.
% 0.80/1.35 { ! X = sz00, alpha14( X ) }.
% 0.80/1.35 { ! X = sz10, alpha14( X ) }.
% 0.80/1.35 { ! xp = sz00 }.
% 0.80/1.35 { ! xp = sz10 }.
% 0.80/1.35 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.80/1.35 X = sz10, X = xp }.
% 0.80/1.35 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.80/1.35 { isPrime0( xp ) }.
% 0.80/1.35 { aNaturalNumber0( skol9 ) }.
% 0.80/1.35 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.80/1.35 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.80/1.35 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 0.80/1.35 { ! sdtlseqdt0( xp, xn ) }.
% 0.80/1.35 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 0.80/1.35 { ! sdtlseqdt0( xp, xm ) }.
% 0.80/1.35 { ! xn = xp }.
% 0.80/1.35 { aNaturalNumber0( skol10 ) }.
% 0.80/1.35 { sdtpldt0( xn, skol10 ) = xp }.
% 0.80/1.35 { sdtlseqdt0( xn, xp ) }.
% 0.80/1.35 { ! xm = xp }.
% 0.80/1.35 { aNaturalNumber0( skol14 ) }.
% 0.80/1.35 { sdtpldt0( xm, skol14 ) = xp }.
% 0.80/1.35 { sdtlseqdt0( xm, xp ) }.
% 0.80/1.35 { aNaturalNumber0( xk ) }.
% 0.80/1.35 { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 0.80/1.35 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 0.80/1.35 { ! xk = sz00 }.
% 0.80/1.35 { ! xk = sz10 }.
% 0.80/1.35 { ! xk = sz00 }.
% 0.80/1.35 { ! xk = sz10 }.
% 0.80/1.35 { alpha8( X ), X = sz00, X = sz10, alpha11( X ) }.
% 0.80/1.35 { alpha8( X ), ! isPrime0( X ) }.
% 0.80/1.35 { ! alpha11( X ), alpha15( X, skol11( X ) ) }.
% 0.80/1.35 { ! alpha11( X ), ! skol11( X ) = X }.
% 0.80/1.35 { ! alpha15( X, Y ), Y = X, alpha11( X ) }.
% 0.80/1.35 { ! alpha15( X, Y ), alpha17( X, Y ) }.
% 0.80/1.35 { ! alpha15( X, Y ), ! Y = sz10 }.
% 0.80/1.35 { ! alpha17( X, Y ), Y = sz10, alpha15( X, Y ) }.
% 0.80/1.35 { ! alpha17( X, Y ), alpha19( X, Y ) }.
% 0.80/1.35 { ! alpha17( X, Y ), doDivides0( Y, X ) }.
% 0.80/1.35 { ! alpha19( X, Y ), ! doDivides0( Y, X ), alpha17( X, Y ) }.
% 0.80/1.35 { ! alpha19( X, Y ), aNaturalNumber0( Y ) }.
% 0.80/1.35 { ! alpha19( X, Y ), aNaturalNumber0( skol12( Z, T ) ) }.
% 0.80/1.35 { ! alpha19( X, Y ), X = sdtasdt0( Y, skol12( X, Y ) ) }.
% 0.80/1.35 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.80/1.35 alpha19( X, Y ) }.
% 0.80/1.35 { ! alpha8( X ), ! aNaturalNumber0( X ), alpha12( X ) }.
% 0.80/1.35 { aNaturalNumber0( X ), alpha8( X ) }.
% 0.80/1.35 { ! alpha12( X ), alpha8( X ) }.
% 0.80/1.35 { ! alpha12( X ), ! aNaturalNumber0( Y ), ! xk = sdtasdt0( X, Y ) }.
% 0.80/1.35 { ! alpha12( X ), ! doDivides0( X, xk ) }.
% 0.80/1.35 { aNaturalNumber0( skol13( Y ) ), doDivides0( X, xk ), alpha12( X ) }.
% 0.80/1.35 { xk = sdtasdt0( X, skol13( X ) ), doDivides0( X, xk ), alpha12( X ) }.
% 0.80/1.35
% 0.80/1.35 percentage equality = 0.268595, percentage horn = 0.748466
% 0.80/1.35 This is a problem with some equality
% 0.80/1.35
% 0.80/1.35
% 0.80/1.35
% 0.80/1.35 Options Used:
% 0.80/1.35
% 0.80/1.35 useres = 1
% 0.80/1.35 useparamod = 1
% 0.80/1.35 useeqrefl = 1
% 0.80/1.35 useeqfact = 1
% 0.80/1.35 usefactor = 1
% 0.80/1.35 usesimpsplitting = 0
% 0.80/1.35 usesimpdemod = 5
% 0.80/1.35 usesimpres = 3
% 0.80/1.35
% 0.80/1.35 resimpinuse = 1000
% 0.80/1.35 resimpclauses = 20000
% 0.80/1.35 substype = eqrewr
% 0.80/1.35 backwardsubs = 1
% 0.80/1.35 selectoldest = 5
% 0.80/1.35
% 0.80/1.35 litorderings [0] = split
% 0.80/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 9.94/10.33
% 9.94/10.33 termordering = kbo
% 9.94/10.33
% 9.94/10.33 litapriori = 0
% 9.94/10.33 termapriori = 1
% 9.94/10.33 litaposteriori = 0
% 9.94/10.33 termaposteriori = 0
% 9.94/10.33 demodaposteriori = 0
% 9.94/10.33 ordereqreflfact = 0
% 9.94/10.33
% 9.94/10.33 litselect = negord
% 9.94/10.33
% 9.94/10.33 maxweight = 15
% 9.94/10.33 maxdepth = 30000
% 9.94/10.33 maxlength = 115
% 9.94/10.33 maxnrvars = 195
% 9.94/10.33 excuselevel = 1
% 9.94/10.33 increasemaxweight = 1
% 9.94/10.33
% 9.94/10.33 maxselected = 10000000
% 9.94/10.33 maxnrclauses = 10000000
% 9.94/10.33
% 9.94/10.33 showgenerated = 0
% 9.94/10.33 showkept = 0
% 9.94/10.33 showselected = 0
% 9.94/10.33 showdeleted = 0
% 9.94/10.33 showresimp = 1
% 9.94/10.33 showstatus = 2000
% 9.94/10.33
% 9.94/10.33 prologoutput = 0
% 9.94/10.33 nrgoals = 5000000
% 9.94/10.33 totalproof = 1
% 9.94/10.33
% 9.94/10.33 Symbols occurring in the translation:
% 9.94/10.33
% 9.94/10.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.94/10.33 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 9.94/10.33 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 9.94/10.33 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 9.94/10.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.94/10.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.94/10.33 aNaturalNumber0 [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 9.94/10.33 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 9.94/10.33 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 9.94/10.33 sdtpldt0 [40, 2] (w:1, o:65, a:1, s:1, b:0),
% 9.94/10.33 sdtasdt0 [41, 2] (w:1, o:66, a:1, s:1, b:0),
% 9.94/10.33 sdtlseqdt0 [43, 2] (w:1, o:67, a:1, s:1, b:0),
% 9.94/10.33 sdtmndt0 [44, 2] (w:1, o:68, a:1, s:1, b:0),
% 9.94/10.33 iLess0 [45, 2] (w:1, o:69, a:1, s:1, b:0),
% 9.94/10.33 doDivides0 [46, 2] (w:1, o:70, a:1, s:1, b:0),
% 9.94/10.33 sdtsldt0 [47, 2] (w:1, o:71, a:1, s:1, b:0),
% 9.94/10.33 isPrime0 [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 9.94/10.33 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 9.94/10.33 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 9.94/10.33 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 9.94/10.33 xk [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 9.94/10.33 alpha1 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 9.94/10.33 alpha2 [56, 1] (w:1, o:33, a:1, s:1, b:1),
% 9.94/10.33 alpha3 [57, 2] (w:1, o:74, a:1, s:1, b:1),
% 9.94/10.33 alpha4 [58, 2] (w:1, o:75, a:1, s:1, b:1),
% 9.94/10.33 alpha5 [59, 3] (w:1, o:88, a:1, s:1, b:1),
% 9.94/10.33 alpha6 [60, 3] (w:1, o:89, a:1, s:1, b:1),
% 9.94/10.33 alpha7 [61, 1] (w:1, o:34, a:1, s:1, b:1),
% 9.94/10.33 alpha8 [62, 1] (w:1, o:35, a:1, s:1, b:1),
% 9.94/10.33 alpha9 [63, 2] (w:1, o:76, a:1, s:1, b:1),
% 9.94/10.33 alpha10 [64, 1] (w:1, o:28, a:1, s:1, b:1),
% 9.94/10.33 alpha11 [65, 1] (w:1, o:29, a:1, s:1, b:1),
% 9.94/10.33 alpha12 [66, 1] (w:1, o:30, a:1, s:1, b:1),
% 9.94/10.33 alpha13 [67, 2] (w:1, o:77, a:1, s:1, b:1),
% 9.94/10.33 alpha14 [68, 1] (w:1, o:31, a:1, s:1, b:1),
% 9.94/10.33 alpha15 [69, 2] (w:1, o:78, a:1, s:1, b:1),
% 9.94/10.33 alpha16 [70, 1] (w:1, o:32, a:1, s:1, b:1),
% 9.94/10.33 alpha17 [71, 2] (w:1, o:79, a:1, s:1, b:1),
% 9.94/10.33 alpha18 [72, 2] (w:1, o:80, a:1, s:1, b:1),
% 9.94/10.33 alpha19 [73, 2] (w:1, o:81, a:1, s:1, b:1),
% 9.94/10.33 alpha20 [74, 2] (w:1, o:72, a:1, s:1, b:1),
% 9.94/10.33 alpha21 [75, 2] (w:1, o:73, a:1, s:1, b:1),
% 9.94/10.33 skol1 [76, 2] (w:1, o:82, a:1, s:1, b:1),
% 9.94/10.33 skol2 [77, 2] (w:1, o:84, a:1, s:1, b:1),
% 9.94/10.33 skol3 [78, 1] (w:1, o:36, a:1, s:1, b:1),
% 9.94/10.33 skol4 [79, 1] (w:1, o:37, a:1, s:1, b:1),
% 9.94/10.33 skol5 [80, 2] (w:1, o:85, a:1, s:1, b:1),
% 9.94/10.33 skol6 [81, 2] (w:1, o:86, a:1, s:1, b:1),
% 9.94/10.33 skol7 [82, 1] (w:1, o:38, a:1, s:1, b:1),
% 9.94/10.33 skol8 [83, 2] (w:1, o:87, a:1, s:1, b:1),
% 9.94/10.33 skol9 [84, 0] (w:1, o:17, a:1, s:1, b:1),
% 9.94/10.33 skol10 [85, 0] (w:1, o:18, a:1, s:1, b:1),
% 9.94/10.33 skol11 [86, 1] (w:1, o:39, a:1, s:1, b:1),
% 9.94/10.33 skol12 [87, 2] (w:1, o:83, a:1, s:1, b:1),
% 9.94/10.33 skol13 [88, 1] (w:1, o:40, a:1, s:1, b:1),
% 9.94/10.33 skol14 [89, 0] (w:1, o:19, a:1, s:1, b:1).
% 9.94/10.33
% 9.94/10.33
% 9.94/10.33 Starting Search:
% 9.94/10.33
% 9.94/10.33 *** allocated 15000 integers for clauses
% 9.94/10.33 *** allocated 22500 integers for clauses
% 9.94/10.33 *** allocated 33750 integers for clauses
% 9.94/10.33 *** allocated 15000 integers for termspace/termends
% 9.94/10.33 *** allocated 50625 integers for clauses
% 9.94/10.33 *** allocated 75937 integers for clauses
% 9.94/10.33 *** allocated 22500 integers for termspace/termends
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 33750 integers for termspace/termends
% 9.94/10.33 *** allocated 113905 integers for clauses
% 9.94/10.33 *** allocated 50625 integers for termspace/termends
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 11585
% 9.94/10.33 Kept: 2012
% 9.94/10.33 Inuse: 130
% 9.94/10.33 Deleted: 1
% 9.94/10.33 Deletedinuse: 0
% 9.94/10.33
% 9.94/10.33 *** allocated 170857 integers for clauses
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 75937 integers for termspace/termends
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 256285 integers for clauses
% 9.94/10.33 *** allocated 113905 integers for termspace/termends
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 24306
% 9.94/10.33 Kept: 4251
% 9.94/10.33 Inuse: 179
% 9.94/10.33 Deleted: 2
% 9.94/10.33 Deletedinuse: 0
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 384427 integers for clauses
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 170857 integers for termspace/termends
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 41392
% 9.94/10.33 Kept: 6329
% 9.94/10.33 Inuse: 224
% 9.94/10.33 Deleted: 2
% 9.94/10.33 Deletedinuse: 0
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 256285 integers for termspace/termends
% 9.94/10.33 *** allocated 576640 integers for clauses
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 54112
% 9.94/10.33 Kept: 8359
% 9.94/10.33 Inuse: 262
% 9.94/10.33 Deleted: 4
% 9.94/10.33 Deletedinuse: 1
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 71935
% 9.94/10.33 Kept: 10393
% 9.94/10.33 Inuse: 292
% 9.94/10.33 Deleted: 7
% 9.94/10.33 Deletedinuse: 3
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 384427 integers for termspace/termends
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 85235
% 9.94/10.33 Kept: 12595
% 9.94/10.33 Inuse: 337
% 9.94/10.33 Deleted: 12
% 9.94/10.33 Deletedinuse: 3
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 864960 integers for clauses
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 106495
% 9.94/10.33 Kept: 14685
% 9.94/10.33 Inuse: 367
% 9.94/10.33 Deleted: 13
% 9.94/10.33 Deletedinuse: 4
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 113367
% 9.94/10.33 Kept: 16755
% 9.94/10.33 Inuse: 427
% 9.94/10.33 Deleted: 16
% 9.94/10.33 Deletedinuse: 7
% 9.94/10.33
% 9.94/10.33 *** allocated 576640 integers for termspace/termends
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 127105
% 9.94/10.33 Kept: 18810
% 9.94/10.33 Inuse: 472
% 9.94/10.33 Deleted: 17
% 9.94/10.33 Deletedinuse: 8
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 *** allocated 1297440 integers for clauses
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 Resimplifying clauses:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33
% 9.94/10.33 Intermediate Status:
% 9.94/10.33 Generated: 138745
% 9.94/10.33 Kept: 21853
% 9.94/10.33 Inuse: 507
% 9.94/10.33 Deleted: 5164
% 9.94/10.33 Deletedinuse: 8
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.94/10.33 Done
% 9.94/10.33
% 9.94/10.33 Resimplifying inuse:
% 9.96/10.33 Done
% 9.96/10.33
% 9.96/10.33
% 9.96/10.33 Intermediate Status:
% 9.96/10.33 Generated: 147879
% 9.96/10.33 Kept: 23857
% 9.96/10.33 Inuse: 609
% 9.96/10.33 Deleted: 5213
% 9.96/10.33 Deletedinuse: 57
% 9.96/10.33
% 9.96/10.33 Resimplifying inuse:
% 9.96/10.33 Done
% 9.96/10.33
% 9.96/10.33 Resimplifying inuse:
% 9.96/10.33 Done
% 9.96/10.33
% 9.96/10.33
% 9.96/10.33 Bliksems!, er is een bewijs:
% 9.96/10.33 % SZS status Theorem
% 9.96/10.33 % SZS output start Refutation
% 9.96/10.33
% 9.96/10.33 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 9.96/10.33 (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 9.96/10.33 ==> sz00 }.
% 9.96/10.33 (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 9.96/10.33 ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 9.96/10.33 }.
% 9.96/10.33 (78) {G0,W11,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 9.96/10.33 aNaturalNumber0( skol4( Y ) ) }.
% 9.96/10.33 (79) {G0,W11,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 9.96/10.33 isPrime0( skol4( Y ) ) }.
% 9.96/10.33 (80) {G0,W12,D3,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 9.96/10.33 doDivides0( skol4( X ), X ) }.
% 9.96/10.33 (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 9.96/10.33 (100) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), alpha18( X, skol7( X ) ) }.
% 9.96/10.33 (101) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), ! skol7( X ) ==> X }.
% 9.96/10.33 (102) {G0,W8,D2,L3,V2,M3} I { ! alpha18( X, Y ), Y = X, alpha16( X ) }.
% 9.96/10.33 (103) {G0,W6,D2,L2,V2,M2} I { ! alpha18( X, Y ), alpha20( X, Y ) }.
% 9.96/10.33 (104) {G0,W6,D2,L2,V2,M2} I { ! alpha18( X, Y ), ! Y = sz10 }.
% 9.96/10.33 (105) {G0,W9,D2,L3,V2,M3} I { ! alpha20( X, Y ), Y = sz10, alpha18( X, Y )
% 9.96/10.33 }.
% 9.96/10.33 (106) {G0,W6,D2,L2,V2,M2} I { ! alpha20( X, Y ), alpha21( X, Y ) }.
% 9.96/10.33 (108) {G0,W9,D2,L3,V2,M3} I { ! alpha21( X, Y ), ! doDivides0( Y, X ),
% 9.96/10.33 alpha20( X, Y ) }.
% 9.96/10.33 (109) {G0,W5,D2,L2,V2,M2} I { ! alpha21( X, Y ), aNaturalNumber0( Y ) }.
% 9.96/10.33 (112) {G0,W12,D3,L4,V3,M4} I { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z
% 9.96/10.33 ), ! X = sdtasdt0( Y, Z ), alpha21( X, Y ) }.
% 9.96/10.33 (116) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 9.96/10.33 (117) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz10 }.
% 9.96/10.33 (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 9.96/10.33 (139) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz00 }.
% 9.96/10.33 (140) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz10 }.
% 9.96/10.33 (142) {G0,W4,D2,L2,V1,M2} I { alpha8( X ), ! isPrime0( X ) }.
% 9.96/10.33 (156) {G0,W6,D2,L3,V1,M3} I { ! alpha8( X ), ! aNaturalNumber0( X ),
% 9.96/10.33 alpha12( X ) }.
% 9.96/10.33 (160) {G0,W5,D2,L2,V1,M2} I { ! alpha12( X ), ! doDivides0( X, xk ) }.
% 9.96/10.33 (667) {G1,W5,D3,L1,V0,M1} R(14,83) { sdtasdt0( xp, sz00 ) ==> sz00 }.
% 9.96/10.33 (5985) {G1,W5,D2,L2,V2,M2} R(106,109) { ! alpha20( X, Y ), aNaturalNumber0
% 9.96/10.33 ( Y ) }.
% 9.96/10.33 (6192) {G2,W5,D2,L2,V2,M2} R(103,5985) { ! alpha18( X, Y ), aNaturalNumber0
% 9.96/10.33 ( Y ) }.
% 9.96/10.33 (8494) {G2,W10,D2,L4,V1,M4} P(667,54);r(83) { ! aNaturalNumber0( X ), !
% 9.96/10.33 aNaturalNumber0( sz00 ), ! X = sz00, doDivides0( xp, X ) }.
% 9.96/10.33 (8502) {G3,W3,D2,L1,V0,M1} F(8494);q;r(1) { doDivides0( xp, sz00 ) }.
% 9.96/10.33 (13610) {G1,W9,D3,L3,V0,M3} R(80,160);r(136) { xk ==> sz00, xk ==> sz10, !
% 9.96/10.33 alpha12( skol4( xk ) ) }.
% 9.96/10.33 (15783) {G3,W5,D3,L2,V1,M2} R(100,6192) { ! alpha16( X ), aNaturalNumber0(
% 9.96/10.33 skol7( X ) ) }.
% 9.96/10.33 (15785) {G1,W6,D3,L2,V1,M2} R(100,104) { ! alpha16( X ), ! skol7( X ) ==>
% 9.96/10.33 sz10 }.
% 9.96/10.33 (15793) {G4,W12,D3,L4,V2,M4} P(79,101);r(15783) { ! alpha16( X ), ! sz00 =
% 9.96/10.33 X, skol7( X ) ==> sz10, isPrime0( skol4( Y ) ) }.
% 9.96/10.33 (15795) {G4,W12,D3,L4,V2,M4} P(78,101);r(15783) { ! alpha16( X ), ! sz00 =
% 9.96/10.33 X, skol7( X ) ==> sz10, aNaturalNumber0( skol4( Y ) ) }.
% 9.96/10.33 (15822) {G5,W5,D3,L2,V1,M2} Q(15795);r(15785) { ! alpha16( sz00 ),
% 9.96/10.33 aNaturalNumber0( skol4( X ) ) }.
% 9.96/10.33 (15824) {G5,W5,D3,L2,V1,M2} Q(15793);r(15785) { ! alpha16( sz00 ), isPrime0
% 9.96/10.33 ( skol4( X ) ) }.
% 9.96/10.33 (16448) {G1,W8,D2,L3,V1,M3} P(102,116) { ! X = sz00, ! alpha18( X, xp ),
% 9.96/10.33 alpha16( X ) }.
% 9.96/10.33 (16500) {G2,W5,D2,L2,V0,M2} Q(16448) { ! alpha18( sz00, xp ), alpha16( sz00
% 9.96/10.33 ) }.
% 9.96/10.33 (17277) {G2,W8,D2,L3,V1,M3} P(667,112);r(83) { ! aNaturalNumber0( sz00 ), !
% 9.96/10.33 X = sz00, alpha21( X, xp ) }.
% 9.96/10.33 (17283) {G3,W3,D2,L1,V0,M1} Q(17277);r(1) { alpha21( sz00, xp ) }.
% 9.96/10.33 (18925) {G4,W3,D2,L1,V0,M1} R(17283,108);r(8502) { alpha20( sz00, xp ) }.
% 9.96/10.33 (18926) {G5,W6,D2,L2,V0,M2} R(18925,105) { xp ==> sz10, alpha18( sz00, xp )
% 9.96/10.33 }.
% 9.96/10.33 (20746) {G6,W3,D2,L1,V0,M1} S(18926);r(117) { alpha18( sz00, xp ) }.
% 9.96/10.33 (20872) {G7,W2,D2,L1,V0,M1} S(16500);r(20746) { alpha16( sz00 ) }.
% 9.96/10.33 (20889) {G8,W3,D3,L1,V1,M1} S(15824);r(20872) { isPrime0( skol4( X ) ) }.
% 9.96/10.33 (20890) {G8,W3,D3,L1,V1,M1} S(15822);r(20872) { aNaturalNumber0( skol4( X )
% 9.96/10.33 ) }.
% 9.96/10.33 (20973) {G2,W3,D3,L1,V0,M1} S(13610);r(139);r(140) { ! alpha12( skol4( xk )
% 9.96/10.33 ) }.
% 9.96/10.33 (24604) {G9,W3,D3,L1,V1,M1} R(20889,142) { alpha8( skol4( X ) ) }.
% 9.96/10.33 (24833) {G10,W3,D3,L1,V1,M1} R(24604,156);r(20890) { alpha12( skol4( X ) )
% 9.96/10.33 }.
% 9.96/10.33 (25095) {G11,W0,D0,L0,V0,M0} S(20973);r(24833) { }.
% 9.96/10.33
% 9.96/10.33
% 9.96/10.33 % SZS output end Refutation
% 9.96/10.33 found a proof!
% 9.96/10.33
% 9.96/10.33
% 9.96/10.33 Unprocessed initial clauses:
% 9.96/10.33
% 9.96/10.33 (25097) {G0,W1,D1,L1,V0,M1} { && }.
% 9.96/10.33 (25098) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 9.96/10.33 (25099) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 9.96/10.33 (25100) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 9.96/10.33 (25101) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 9.96/10.33 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 9.96/10.33 (25102) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 9.96/10.33 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 9.96/10.33 (25103) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 9.96/10.33 (25104) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0(
% 9.96/10.33 X, sdtpldt0( Y, Z ) ) }.
% 9.96/10.33 (25105) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 )
% 9.96/10.33 = X }.
% 9.96/10.33 (25106) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00,
% 9.96/10.33 X ) }.
% 9.96/10.33 (25107) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 9.96/10.33 (25108) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0(
% 9.96/10.33 X, sdtasdt0( Y, Z ) ) }.
% 9.96/10.33 (25109) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 )
% 9.96/10.33 = X }.
% 9.96/10.33 (25110) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10,
% 9.96/10.33 X ) }.
% 9.96/10.33 (25111) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 )
% 9.96/10.33 = sz00 }.
% 9.96/10.33 (25112) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0(
% 9.96/10.33 sz00, X ) }.
% 9.96/10.33 (25113) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 9.96/10.33 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 9.96/10.33 (25114) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 9.96/10.33 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 9.96/10.33 (25115) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 9.96/10.33 }.
% 9.96/10.33 (25116) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 9.96/10.33 }.
% 9.96/10.33 (25117) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 9.96/10.33 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 9.96/10.33 sdtasdt0( X, Z ), Y = Z }.
% 9.96/10.33 (25118) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 9.96/10.33 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 9.96/10.33 sdtasdt0( Z, X ), Y = Z }.
% 9.96/10.33 (25119) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 9.96/10.33 (25120) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 9.96/10.33 (25121) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 9.96/10.33 (25122) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 9.96/10.33 (25123) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 9.96/10.33 (25124) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 9.96/10.33 }.
% 9.96/10.33 (25125) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 9.96/10.33 }.
% 9.96/10.33 (25126) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 9.96/10.33 }.
% 9.96/10.33 (25127) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 9.96/10.33 , Z = sdtmndt0( Y, X ) }.
% 9.96/10.33 (25128) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 9.96/10.33 }.
% 9.96/10.33 (25129) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 9.96/10.33 (25130) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 9.96/10.33 sdtlseqdt0( X, Z ) }.
% 9.96/10.33 (25131) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 9.96/10.33 (25132) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 9.96/10.33 (25133) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z
% 9.96/10.33 ) }.
% 9.96/10.33 (25134) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 9.96/10.33 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 9.96/10.33 (25135) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 9.96/10.33 sdtpldt0( Z, Y ) }.
% 9.96/10.33 (25136) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0(
% 9.96/10.33 Z, X ), sdtpldt0( Z, Y ) ) }.
% 9.96/10.33 (25137) {G0,W11,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 9.96/10.33 sdtpldt0( Y, Z ) }.
% 9.96/10.33 (25138) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 9.96/10.33 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 9.96/10.33 sdtpldt0( Y, Z ), alpha5( X, Y, Z ) }.
% 9.96/10.33 (25139) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 9.96/10.33 alpha6( X, Y, Z ) }.
% 9.96/10.33 (25140) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 9.96/10.33 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 9.96/10.33 (25141) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 9.96/10.33 sdtasdt0( X, Z ) }.
% 9.96/10.33 (25142) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0(
% 9.96/10.33 X, Y ), sdtasdt0( X, Z ) ) }.
% 9.96/10.33 (25143) {G0,W11,D3,L2,V3,M2} { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 9.96/10.33 sdtasdt0( Z, X ) }.
% 9.96/10.33 (25144) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 9.96/10.33 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 9.96/10.33 sdtasdt0( Z, X ), alpha6( X, Y, Z ) }.
% 9.96/10.33 (25145) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 9.96/10.33 , ! sz10 = X }.
% 9.96/10.33 (25146) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 9.96/10.33 , sdtlseqdt0( sz10, X ) }.
% 9.96/10.33 (25147) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = sz00, sdtlseqdt0( Y, sdtasdt0( Y, X ) ) }.
% 9.96/10.33 (25148) {G0,W1,D1,L1,V0,M1} { && }.
% 9.96/10.33 (25149) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = Y, ! sdtlseqdt0( X, Y ), iLess0( X, Y ) }.
% 9.96/10.33 (25150) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! doDivides0( X, Y ), aNaturalNumber0( skol2( Z, T ) ) }.
% 9.96/10.33 (25151) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! doDivides0( X, Y ), Y = sdtasdt0( X, skol2( X, Y ) ) }.
% 9.96/10.33 (25152) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), doDivides0( X, Y )
% 9.96/10.33 }.
% 9.96/10.33 (25153) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ),
% 9.96/10.33 aNaturalNumber0( Z ) }.
% 9.96/10.33 (25154) {G0,W20,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = sz00, ! doDivides0( X, Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0
% 9.96/10.33 ( X, Z ) }.
% 9.96/10.33 (25155) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), ! Y =
% 9.96/10.33 sdtasdt0( X, Z ), Z = sdtsldt0( Y, X ) }.
% 9.96/10.33 (25156) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( Y, Z ),
% 9.96/10.33 doDivides0( X, Z ) }.
% 9.96/10.33 (25157) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X, Z ),
% 9.96/10.33 doDivides0( X, sdtpldt0( Y, Z ) ) }.
% 9.96/10.33 (25158) {G0,W17,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), ! doDivides0( X, Y ), ! doDivides0( X,
% 9.96/10.33 sdtpldt0( Y, Z ) ), doDivides0( X, Z ) }.
% 9.96/10.33 (25159) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! doDivides0( X, Y ), Y = sz00, sdtlseqdt0( X, Y ) }.
% 9.96/10.33 (25160) {G0,W23,D4,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), X = sz00, ! doDivides0( X, Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z
% 9.96/10.33 , sdtsldt0( Y, X ) ) = sdtsldt0( sdtasdt0( Z, Y ), X ) }.
% 9.96/10.33 (25161) {G0,W7,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X
% 9.96/10.33 = sz00 }.
% 9.96/10.33 (25162) {G0,W6,D2,L3,V1,M3} { ! aNaturalNumber0( X ), ! isPrime0( X ),
% 9.96/10.33 alpha1( X ) }.
% 9.96/10.33 (25163) {G0,W9,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, ! alpha1(
% 9.96/10.33 X ), isPrime0( X ) }.
% 9.96/10.33 (25164) {G0,W5,D2,L2,V1,M2} { ! alpha1( X ), ! X = sz10 }.
% 9.96/10.33 (25165) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 9.96/10.33 (25166) {G0,W7,D2,L3,V1,M3} { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 9.96/10.33 (25167) {G0,W8,D2,L3,V2,M3} { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X,
% 9.96/10.33 Y ) }.
% 9.96/10.33 (25168) {G0,W6,D3,L2,V1,M2} { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 9.96/10.33 (25169) {G0,W6,D3,L2,V1,M2} { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 9.96/10.33 (25170) {G0,W9,D2,L3,V2,M3} { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 9.96/10.33 (25171) {G0,W6,D2,L2,V2,M2} { ! Y = sz10, alpha4( X, Y ) }.
% 9.96/10.33 (25172) {G0,W6,D2,L2,V2,M2} { ! Y = X, alpha4( X, Y ) }.
% 9.96/10.33 (25173) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 9.96/10.33 (25174) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 9.96/10.33 (25175) {G0,W8,D2,L3,V2,M3} { ! aNaturalNumber0( Y ), ! doDivides0( Y, X )
% 9.96/10.33 , alpha3( X, Y ) }.
% 9.96/10.33 (25176) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 9.96/10.33 , aNaturalNumber0( skol4( Y ) ) }.
% 9.96/10.33 (25177) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 9.96/10.33 , isPrime0( skol4( Y ) ) }.
% 9.96/10.33 (25178) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10
% 9.96/10.33 , doDivides0( skol4( X ), X ) }.
% 9.96/10.33 (25179) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 9.96/10.33 (25180) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 9.96/10.33 (25181) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 9.96/10.33 (25182) {G0,W34,D4,L9,V4,M9} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! aNaturalNumber0( T ), !
% 9.96/10.33 sdtasdt0( X, Y ) = sdtasdt0( Z, T ), ! iLess0( sdtpldt0( sdtpldt0( X, Y )
% 9.96/10.33 , Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z ), alpha13( Y,
% 9.96/10.33 Z ) }.
% 9.96/10.33 (25183) {G0,W30,D4,L8,V3,M8} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! aNaturalNumber0( Z ), alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y
% 9.96/10.33 ) ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn,
% 9.96/10.33 xm ), xp ) ), alpha9( X, Z ), alpha13( Y, Z ) }.
% 9.96/10.33 (25184) {G0,W7,D3,L2,V4,M2} { ! alpha13( X, Y ), aNaturalNumber0( skol5( Z
% 9.96/10.33 , T ) ) }.
% 9.96/10.33 (25185) {G0,W10,D4,L2,V2,M2} { ! alpha13( X, Y ), X = sdtasdt0( Y, skol5(
% 9.96/10.33 X, Y ) ) }.
% 9.96/10.33 (25186) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), doDivides0( Y, X ) }.
% 9.96/10.33 (25187) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 9.96/10.33 Z ), ! doDivides0( Y, X ), alpha13( X, Y ) }.
% 9.96/10.33 (25188) {G0,W7,D3,L2,V4,M2} { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z
% 9.96/10.33 , T ) ) }.
% 9.96/10.33 (25189) {G0,W10,D4,L2,V2,M2} { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X
% 9.96/10.33 , Y ) ) }.
% 9.96/10.33 (25190) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 9.96/10.33 (25191) {G0,W13,D3,L4,V3,M4} { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y,
% 9.96/10.33 Z ), ! doDivides0( Y, X ), alpha9( X, Y ) }.
% 9.96/10.33 (25192) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha10( X ) }.
% 9.96/10.33 (25193) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), ! isPrime0( X ) }.
% 9.96/10.33 (25194) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), isPrime0( X ), alpha7( X )
% 9.96/10.33 }.
% 9.96/10.33 (25195) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), alpha14( X ), alpha16( X )
% 9.96/10.33 }.
% 9.96/10.33 (25196) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha10( X ) }.
% 9.96/10.33 (25197) {G0,W4,D2,L2,V1,M2} { ! alpha16( X ), alpha10( X ) }.
% 9.96/10.33 (25198) {G0,W6,D3,L2,V1,M2} { ! alpha16( X ), alpha18( X, skol7( X ) ) }.
% 9.96/10.33 (25199) {G0,W6,D3,L2,V1,M2} { ! alpha16( X ), ! skol7( X ) = X }.
% 9.96/10.33 (25200) {G0,W8,D2,L3,V2,M3} { ! alpha18( X, Y ), Y = X, alpha16( X ) }.
% 9.96/10.33 (25201) {G0,W6,D2,L2,V2,M2} { ! alpha18( X, Y ), alpha20( X, Y ) }.
% 9.96/10.33 (25202) {G0,W6,D2,L2,V2,M2} { ! alpha18( X, Y ), ! Y = sz10 }.
% 9.96/10.33 (25203) {G0,W9,D2,L3,V2,M3} { ! alpha20( X, Y ), Y = sz10, alpha18( X, Y )
% 9.96/10.33 }.
% 9.96/10.33 (25204) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha21( X, Y ) }.
% 9.96/10.33 (25205) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), doDivides0( Y, X ) }.
% 9.96/10.33 (25206) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), ! doDivides0( Y, X ),
% 9.96/10.33 alpha20( X, Y ) }.
% 9.96/10.33 (25207) {G0,W5,D2,L2,V2,M2} { ! alpha21( X, Y ), aNaturalNumber0( Y ) }.
% 9.96/10.33 (25208) {G0,W7,D3,L2,V4,M2} { ! alpha21( X, Y ), aNaturalNumber0( skol8( Z
% 9.96/10.33 , T ) ) }.
% 9.96/10.33 (25209) {G0,W10,D4,L2,V2,M2} { ! alpha21( X, Y ), X = sdtasdt0( Y, skol8(
% 9.96/10.33 X, Y ) ) }.
% 9.96/10.33 (25210) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 9.96/10.33 Z ), ! X = sdtasdt0( Y, Z ), alpha21( X, Y ) }.
% 9.96/10.33 (25211) {G0,W8,D2,L3,V1,M3} { ! alpha14( X ), X = sz00, X = sz10 }.
% 9.96/10.33 (25212) {G0,W5,D2,L2,V1,M2} { ! X = sz00, alpha14( X ) }.
% 9.96/10.33 (25213) {G0,W5,D2,L2,V1,M2} { ! X = sz10, alpha14( X ) }.
% 9.96/10.33 (25214) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 9.96/10.33 (25215) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 9.96/10.33 (25216) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0(
% 9.96/10.33 Y ), ! xp = sdtasdt0( X, Y ), X = sz10, X = xp }.
% 9.96/10.33 (25217) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), ! doDivides0( X, xp
% 9.96/10.33 ), X = sz10, X = xp }.
% 9.96/10.33 (25218) {G0,W2,D2,L1,V0,M1} { isPrime0( xp ) }.
% 9.96/10.33 (25219) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol9 ) }.
% 9.96/10.33 (25220) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 )
% 9.96/10.33 }.
% 9.96/10.33 (25221) {G0,W5,D3,L1,V0,M1} { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 9.96/10.33 (25222) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 9.96/10.33 = xn }.
% 9.96/10.33 (25223) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xn ) }.
% 9.96/10.34 (25224) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X )
% 9.96/10.34 = xm }.
% 9.96/10.34 (25225) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( xp, xm ) }.
% 9.96/10.34 (25226) {G0,W3,D2,L1,V0,M1} { ! xn = xp }.
% 9.96/10.34 (25227) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol10 ) }.
% 9.96/10.34 (25228) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xn, skol10 ) = xp }.
% 9.96/10.34 (25229) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xn, xp ) }.
% 9.96/10.34 (25230) {G0,W3,D2,L1,V0,M1} { ! xm = xp }.
% 9.96/10.34 (25231) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( skol14 ) }.
% 9.96/10.34 (25232) {G0,W5,D3,L1,V0,M1} { sdtpldt0( xm, skol14 ) = xp }.
% 9.96/10.34 (25233) {G0,W3,D2,L1,V0,M1} { sdtlseqdt0( xm, xp ) }.
% 9.96/10.34 (25234) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 9.96/10.34 (25235) {G0,W7,D3,L1,V0,M1} { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 9.96/10.34 (25236) {G0,W7,D4,L1,V0,M1} { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 9.96/10.34 (25237) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 9.96/10.34 (25238) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 9.96/10.34 (25239) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 9.96/10.34 (25240) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 9.96/10.34 (25241) {G0,W10,D2,L4,V1,M4} { alpha8( X ), X = sz00, X = sz10, alpha11( X
% 9.96/10.34 ) }.
% 9.96/10.34 (25242) {G0,W4,D2,L2,V1,M2} { alpha8( X ), ! isPrime0( X ) }.
% 9.96/10.34 (25243) {G0,W6,D3,L2,V1,M2} { ! alpha11( X ), alpha15( X, skol11( X ) )
% 9.96/10.34 }.
% 9.96/10.34 (25244) {G0,W6,D3,L2,V1,M2} { ! alpha11( X ), ! skol11( X ) = X }.
% 9.96/10.34 (25245) {G0,W8,D2,L3,V2,M3} { ! alpha15( X, Y ), Y = X, alpha11( X ) }.
% 9.96/10.34 (25246) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), alpha17( X, Y ) }.
% 9.96/10.34 (25247) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), ! Y = sz10 }.
% 9.96/10.34 (25248) {G0,W9,D2,L3,V2,M3} { ! alpha17( X, Y ), Y = sz10, alpha15( X, Y )
% 9.96/10.34 }.
% 9.96/10.34 (25249) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), alpha19( X, Y ) }.
% 9.96/10.34 (25250) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), doDivides0( Y, X ) }.
% 9.96/10.34 (25251) {G0,W9,D2,L3,V2,M3} { ! alpha19( X, Y ), ! doDivides0( Y, X ),
% 9.96/10.34 alpha17( X, Y ) }.
% 9.96/10.34 (25252) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), aNaturalNumber0( Y ) }.
% 9.96/10.34 (25253) {G0,W7,D3,L2,V4,M2} { ! alpha19( X, Y ), aNaturalNumber0( skol12(
% 9.96/10.34 Z, T ) ) }.
% 9.96/10.34 (25254) {G0,W10,D4,L2,V2,M2} { ! alpha19( X, Y ), X = sdtasdt0( Y, skol12
% 9.96/10.34 ( X, Y ) ) }.
% 9.96/10.34 (25255) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), ! aNaturalNumber0(
% 9.96/10.34 Z ), ! X = sdtasdt0( Y, Z ), alpha19( X, Y ) }.
% 9.96/10.34 (25256) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! aNaturalNumber0( X ),
% 9.96/10.34 alpha12( X ) }.
% 9.96/10.34 (25257) {G0,W4,D2,L2,V1,M2} { aNaturalNumber0( X ), alpha8( X ) }.
% 9.96/10.34 (25258) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha8( X ) }.
% 9.96/10.34 (25259) {G0,W9,D3,L3,V2,M3} { ! alpha12( X ), ! aNaturalNumber0( Y ), ! xk
% 9.96/10.34 = sdtasdt0( X, Y ) }.
% 9.96/10.34 (25260) {G0,W5,D2,L2,V1,M2} { ! alpha12( X ), ! doDivides0( X, xk ) }.
% 9.96/10.34 (25261) {G0,W8,D3,L3,V2,M3} { aNaturalNumber0( skol13( Y ) ), doDivides0(
% 9.96/10.34 X, xk ), alpha12( X ) }.
% 9.96/10.34 (25262) {G0,W11,D4,L3,V1,M3} { xk = sdtasdt0( X, skol13( X ) ), doDivides0
% 9.96/10.34 ( X, xk ), alpha12( X ) }.
% 9.96/10.34
% 9.96/10.34
% 9.96/10.34 Total Proof:
% 9.96/10.34
% 9.96/10.34 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 9.96/10.34 parent0: (25098) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 9.96/10.34 substitution0:
% 9.96/10.34 end
% 9.96/10.34 permutation0:
% 9.96/10.34 0 ==> 0
% 9.96/10.34 end
% 9.96/10.34
% 9.96/10.34 subsumption: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0
% 9.96/10.34 ( X, sz00 ) ==> sz00 }.
% 9.96/10.34 parent0: (25111) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X
% 9.96/10.34 , sz00 ) = sz00 }.
% 9.96/10.34 substitution0:
% 9.96/10.34 X := X
% 9.96/10.34 end
% 9.96/10.34 permutation0:
% 9.96/10.34 0 ==> 0
% 9.96/10.34 1 ==> 1
% 9.96/10.34 end
% 9.96/10.34
% 9.96/10.34 subsumption: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 9.96/10.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 9.96/10.34 doDivides0( X, Y ) }.
% 9.96/10.34 parent0: (25152) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), !
% 9.96/10.34 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 9.96/10.34 doDivides0( X, Y ) }.
% 9.96/10.34 substitution0:
% 9.96/10.34 X := X
% 9.96/10.34 Y := Y
% 9.96/10.34 Z := Z
% 9.96/10.34 end
% 9.96/10.34 permutation0:
% 9.96/10.34 0 ==> 0
% 9.96/10.34 1 ==> 1
% 9.96/10.34 2 ==> 2
% 9.96/10.34 3 ==> 3
% 9.96/10.34 4 ==> 4
% 9.96/10.34 end
% 9.96/10.34
% 9.96/10.34 subsumption: (78) {G0,W11,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), X = sz00
% 9.96/10.34 , X = sz10, aNaturalNumber0( skol4( Y ) ) }.
% 9.96/10.34 parent0: (25176) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00,
% 9.96/10.34 X = sz10, aNaturalNumber0( skol4( Y ) ) }.
% 9.96/10.34 substitution0:
% 9.96/10.34 X := X
% 9.96/10.34 Y := Y
% 9.96/10.34 end
% 9.96/10.34 permutation0:
% 9.96/10.34 0 ==> 0
% 9.96/10.34 1 ==> 1
% 9.96/10.34 2 ==> 2
% 9.96/10.34 3 ==> 3
% 9.96/10.34 end
% 9.96/10.34
% 9.96/10.34 subsumption: (79) {G0,W11,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), X = sz00
% 9.96/10.37 , X = sz10, isPrime0( skol4( Y ) ) }.
% 9.96/10.37 parent0: (25177) {G0,W11,D3,L4,V2,M4} { ! aNaturalNumber0( X ), X = sz00,
% 9.96/10.37 X = sz10, isPrime0( skol4( Y ) ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 2 ==> 2
% 9.96/10.37 3 ==> 3
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (80) {G0,W12,D3,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 9.96/10.37 , X = sz10, doDivides0( skol4( X ), X ) }.
% 9.96/10.37 parent0: (25178) {G0,W12,D3,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00,
% 9.96/10.37 X = sz10, doDivides0( skol4( X ), X ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 2 ==> 2
% 9.96/10.37 3 ==> 3
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 9.96/10.37 parent0: (25181) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xp ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (100) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), alpha18( X,
% 9.96/10.37 skol7( X ) ) }.
% 9.96/10.37 parent0: (25198) {G0,W6,D3,L2,V1,M2} { ! alpha16( X ), alpha18( X, skol7(
% 9.96/10.37 X ) ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (101) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), ! skol7( X ) ==>
% 9.96/10.37 X }.
% 9.96/10.37 parent0: (25199) {G0,W6,D3,L2,V1,M2} { ! alpha16( X ), ! skol7( X ) = X
% 9.96/10.37 }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (102) {G0,W8,D2,L3,V2,M3} I { ! alpha18( X, Y ), Y = X,
% 9.96/10.37 alpha16( X ) }.
% 9.96/10.37 parent0: (25200) {G0,W8,D2,L3,V2,M3} { ! alpha18( X, Y ), Y = X, alpha16(
% 9.96/10.37 X ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 2 ==> 2
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (103) {G0,W6,D2,L2,V2,M2} I { ! alpha18( X, Y ), alpha20( X, Y
% 9.96/10.37 ) }.
% 9.96/10.37 parent0: (25201) {G0,W6,D2,L2,V2,M2} { ! alpha18( X, Y ), alpha20( X, Y )
% 9.96/10.37 }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 *** allocated 864960 integers for termspace/termends
% 9.96/10.37 subsumption: (104) {G0,W6,D2,L2,V2,M2} I { ! alpha18( X, Y ), ! Y = sz10
% 9.96/10.37 }.
% 9.96/10.37 parent0: (25202) {G0,W6,D2,L2,V2,M2} { ! alpha18( X, Y ), ! Y = sz10 }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (105) {G0,W9,D2,L3,V2,M3} I { ! alpha20( X, Y ), Y = sz10,
% 9.96/10.37 alpha18( X, Y ) }.
% 9.96/10.37 parent0: (25203) {G0,W9,D2,L3,V2,M3} { ! alpha20( X, Y ), Y = sz10,
% 9.96/10.37 alpha18( X, Y ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 2 ==> 2
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (106) {G0,W6,D2,L2,V2,M2} I { ! alpha20( X, Y ), alpha21( X, Y
% 9.96/10.37 ) }.
% 9.96/10.37 parent0: (25204) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), alpha21( X, Y )
% 9.96/10.37 }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (108) {G0,W9,D2,L3,V2,M3} I { ! alpha21( X, Y ), ! doDivides0
% 9.96/10.37 ( Y, X ), alpha20( X, Y ) }.
% 9.96/10.37 parent0: (25206) {G0,W9,D2,L3,V2,M3} { ! alpha21( X, Y ), ! doDivides0( Y
% 9.96/10.37 , X ), alpha20( X, Y ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 2 ==> 2
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (109) {G0,W5,D2,L2,V2,M2} I { ! alpha21( X, Y ),
% 9.96/10.37 aNaturalNumber0( Y ) }.
% 9.96/10.37 parent0: (25207) {G0,W5,D2,L2,V2,M2} { ! alpha21( X, Y ), aNaturalNumber0
% 9.96/10.37 ( Y ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (112) {G0,W12,D3,L4,V3,M4} I { ! aNaturalNumber0( Y ), !
% 9.96/10.37 aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), alpha21( X, Y ) }.
% 9.96/10.37 parent0: (25210) {G0,W12,D3,L4,V3,M4} { ! aNaturalNumber0( Y ), !
% 9.96/10.37 aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), alpha21( X, Y ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 X := X
% 9.96/10.37 Y := Y
% 9.96/10.37 Z := Z
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 1 ==> 1
% 9.96/10.37 2 ==> 2
% 9.96/10.37 3 ==> 3
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 *** allocated 1946160 integers for clauses
% 9.96/10.37 subsumption: (116) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz00 }.
% 9.96/10.37 parent0: (25214) {G0,W3,D2,L1,V0,M1} { ! xp = sz00 }.
% 9.96/10.37 substitution0:
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (117) {G0,W3,D2,L1,V0,M1} I { ! xp ==> sz10 }.
% 9.96/10.37 parent0: (25215) {G0,W3,D2,L1,V0,M1} { ! xp = sz10 }.
% 9.96/10.37 substitution0:
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.37 0 ==> 0
% 9.96/10.37 end
% 9.96/10.37
% 9.96/10.37 subsumption: (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 9.96/10.37 parent0: (25234) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xk ) }.
% 9.96/10.37 substitution0:
% 9.96/10.37 end
% 9.96/10.37 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (139) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz00 }.
% 9.96/10.38 parent0: (25237) {G0,W3,D2,L1,V0,M1} { ! xk = sz00 }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (140) {G0,W3,D2,L1,V0,M1} I { ! xk ==> sz10 }.
% 9.96/10.38 parent0: (25238) {G0,W3,D2,L1,V0,M1} { ! xk = sz10 }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (142) {G0,W4,D2,L2,V1,M2} I { alpha8( X ), ! isPrime0( X ) }.
% 9.96/10.38 parent0: (25242) {G0,W4,D2,L2,V1,M2} { alpha8( X ), ! isPrime0( X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 1 ==> 1
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (156) {G0,W6,D2,L3,V1,M3} I { ! alpha8( X ), ! aNaturalNumber0
% 9.96/10.38 ( X ), alpha12( X ) }.
% 9.96/10.38 parent0: (25256) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! aNaturalNumber0( X
% 9.96/10.38 ), alpha12( X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 1 ==> 1
% 9.96/10.38 2 ==> 2
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (160) {G0,W5,D2,L2,V1,M2} I { ! alpha12( X ), ! doDivides0( X
% 9.96/10.38 , xk ) }.
% 9.96/10.38 parent0: (25260) {G0,W5,D2,L2,V1,M2} { ! alpha12( X ), ! doDivides0( X, xk
% 9.96/10.38 ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 1 ==> 1
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqswap: (35804) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 9.96/10.38 aNaturalNumber0( X ) }.
% 9.96/10.38 parent0[1]: (14) {G0,W7,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), sdtasdt0(
% 9.96/10.38 X, sz00 ) ==> sz00 }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35805) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xp, sz00 )
% 9.96/10.38 }.
% 9.96/10.38 parent0[1]: (35804) {G0,W7,D3,L2,V1,M2} { sz00 ==> sdtasdt0( X, sz00 ), !
% 9.96/10.38 aNaturalNumber0( X ) }.
% 9.96/10.38 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := xp
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqswap: (35806) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xp, sz00 ) ==> sz00 }.
% 9.96/10.38 parent0[0]: (35805) {G1,W5,D3,L1,V0,M1} { sz00 ==> sdtasdt0( xp, sz00 )
% 9.96/10.38 }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (667) {G1,W5,D3,L1,V0,M1} R(14,83) { sdtasdt0( xp, sz00 ) ==>
% 9.96/10.38 sz00 }.
% 9.96/10.38 parent0: (35806) {G1,W5,D3,L1,V0,M1} { sdtasdt0( xp, sz00 ) ==> sz00 }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35807) {G1,W5,D2,L2,V2,M2} { aNaturalNumber0( Y ), ! alpha20
% 9.96/10.38 ( X, Y ) }.
% 9.96/10.38 parent0[0]: (109) {G0,W5,D2,L2,V2,M2} I { ! alpha21( X, Y ),
% 9.96/10.38 aNaturalNumber0( Y ) }.
% 9.96/10.38 parent1[1]: (106) {G0,W6,D2,L2,V2,M2} I { ! alpha20( X, Y ), alpha21( X, Y
% 9.96/10.38 ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 Y := Y
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 X := X
% 9.96/10.38 Y := Y
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (5985) {G1,W5,D2,L2,V2,M2} R(106,109) { ! alpha20( X, Y ),
% 9.96/10.38 aNaturalNumber0( Y ) }.
% 9.96/10.38 parent0: (35807) {G1,W5,D2,L2,V2,M2} { aNaturalNumber0( Y ), ! alpha20( X
% 9.96/10.38 , Y ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 Y := Y
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 1
% 9.96/10.38 1 ==> 0
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35808) {G1,W5,D2,L2,V2,M2} { aNaturalNumber0( Y ), ! alpha18
% 9.96/10.38 ( X, Y ) }.
% 9.96/10.38 parent0[0]: (5985) {G1,W5,D2,L2,V2,M2} R(106,109) { ! alpha20( X, Y ),
% 9.96/10.38 aNaturalNumber0( Y ) }.
% 9.96/10.38 parent1[1]: (103) {G0,W6,D2,L2,V2,M2} I { ! alpha18( X, Y ), alpha20( X, Y
% 9.96/10.38 ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 Y := Y
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 X := X
% 9.96/10.38 Y := Y
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (6192) {G2,W5,D2,L2,V2,M2} R(103,5985) { ! alpha18( X, Y ),
% 9.96/10.38 aNaturalNumber0( Y ) }.
% 9.96/10.38 parent0: (35808) {G1,W5,D2,L2,V2,M2} { aNaturalNumber0( Y ), ! alpha18( X
% 9.96/10.38 , Y ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 Y := Y
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 1
% 9.96/10.38 1 ==> 0
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqswap: (35810) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !
% 9.96/10.38 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ),
% 9.96/10.38 doDivides0( Y, X ) }.
% 9.96/10.38 parent0[3]: (54) {G0,W14,D3,L5,V3,M5} I { ! aNaturalNumber0( X ), !
% 9.96/10.38 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ),
% 9.96/10.38 doDivides0( X, Y ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := Y
% 9.96/10.38 Y := X
% 9.96/10.38 Z := Z
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 paramod: (35811) {G1,W12,D2,L5,V1,M5} { ! sz00 = X, ! aNaturalNumber0( xp
% 9.96/10.38 ), ! aNaturalNumber0( X ), ! aNaturalNumber0( sz00 ), doDivides0( xp, X
% 9.96/10.38 ) }.
% 9.96/10.38 parent0[0]: (667) {G1,W5,D3,L1,V0,M1} R(14,83) { sdtasdt0( xp, sz00 ) ==>
% 9.96/10.38 sz00 }.
% 9.96/10.38 parent1[0; 2]: (35810) {G0,W14,D3,L5,V3,M5} { ! sdtasdt0( Y, Z ) = X, !
% 9.96/10.38 aNaturalNumber0( Y ), ! aNaturalNumber0( X ), ! aNaturalNumber0( Z ),
% 9.96/10.38 doDivides0( Y, X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 X := X
% 9.96/10.38 Y := xp
% 9.96/10.38 Z := sz00
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35817) {G1,W10,D2,L4,V1,M4} { ! sz00 = X, ! aNaturalNumber0(
% 9.96/10.38 X ), ! aNaturalNumber0( sz00 ), doDivides0( xp, X ) }.
% 9.96/10.38 parent0[1]: (35811) {G1,W12,D2,L5,V1,M5} { ! sz00 = X, ! aNaturalNumber0(
% 9.96/10.38 xp ), ! aNaturalNumber0( X ), ! aNaturalNumber0( sz00 ), doDivides0( xp,
% 9.96/10.38 X ) }.
% 9.96/10.38 parent1[0]: (83) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xp ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqswap: (35818) {G1,W10,D2,L4,V1,M4} { ! X = sz00, ! aNaturalNumber0( X )
% 9.96/10.38 , ! aNaturalNumber0( sz00 ), doDivides0( xp, X ) }.
% 9.96/10.38 parent0[0]: (35817) {G1,W10,D2,L4,V1,M4} { ! sz00 = X, ! aNaturalNumber0(
% 9.96/10.38 X ), ! aNaturalNumber0( sz00 ), doDivides0( xp, X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (8494) {G2,W10,D2,L4,V1,M4} P(667,54);r(83) { !
% 9.96/10.38 aNaturalNumber0( X ), ! aNaturalNumber0( sz00 ), ! X = sz00, doDivides0(
% 9.96/10.38 xp, X ) }.
% 9.96/10.38 parent0: (35818) {G1,W10,D2,L4,V1,M4} { ! X = sz00, ! aNaturalNumber0( X )
% 9.96/10.38 , ! aNaturalNumber0( sz00 ), doDivides0( xp, X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 2
% 9.96/10.38 1 ==> 0
% 9.96/10.38 2 ==> 1
% 9.96/10.38 3 ==> 3
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqswap: (35820) {G2,W10,D2,L4,V1,M4} { ! sz00 = X, ! aNaturalNumber0( X )
% 9.96/10.38 , ! aNaturalNumber0( sz00 ), doDivides0( xp, X ) }.
% 9.96/10.38 parent0[2]: (8494) {G2,W10,D2,L4,V1,M4} P(667,54);r(83) { ! aNaturalNumber0
% 9.96/10.38 ( X ), ! aNaturalNumber0( sz00 ), ! X = sz00, doDivides0( xp, X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 factor: (35821) {G2,W8,D2,L3,V0,M3} { ! sz00 = sz00, ! aNaturalNumber0(
% 9.96/10.38 sz00 ), doDivides0( xp, sz00 ) }.
% 9.96/10.38 parent0[1, 2]: (35820) {G2,W10,D2,L4,V1,M4} { ! sz00 = X, !
% 9.96/10.38 aNaturalNumber0( X ), ! aNaturalNumber0( sz00 ), doDivides0( xp, X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := sz00
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqrefl: (35822) {G0,W5,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ),
% 9.96/10.38 doDivides0( xp, sz00 ) }.
% 9.96/10.38 parent0[0]: (35821) {G2,W8,D2,L3,V0,M3} { ! sz00 = sz00, ! aNaturalNumber0
% 9.96/10.38 ( sz00 ), doDivides0( xp, sz00 ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35823) {G1,W3,D2,L1,V0,M1} { doDivides0( xp, sz00 ) }.
% 9.96/10.38 parent0[0]: (35822) {G0,W5,D2,L2,V0,M2} { ! aNaturalNumber0( sz00 ),
% 9.96/10.38 doDivides0( xp, sz00 ) }.
% 9.96/10.38 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (8502) {G3,W3,D2,L1,V0,M1} F(8494);q;r(1) { doDivides0( xp,
% 9.96/10.38 sz00 ) }.
% 9.96/10.38 parent0: (35823) {G1,W3,D2,L1,V0,M1} { doDivides0( xp, sz00 ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqswap: (35824) {G0,W12,D3,L4,V1,M4} { sz00 = X, ! aNaturalNumber0( X ), X
% 9.96/10.38 = sz10, doDivides0( skol4( X ), X ) }.
% 9.96/10.38 parent0[1]: (80) {G0,W12,D3,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 9.96/10.38 , X = sz10, doDivides0( skol4( X ), X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := X
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35827) {G1,W11,D3,L4,V0,M4} { ! alpha12( skol4( xk ) ), sz00
% 9.96/10.38 = xk, ! aNaturalNumber0( xk ), xk = sz10 }.
% 9.96/10.38 parent0[1]: (160) {G0,W5,D2,L2,V1,M2} I { ! alpha12( X ), ! doDivides0( X,
% 9.96/10.38 xk ) }.
% 9.96/10.38 parent1[3]: (35824) {G0,W12,D3,L4,V1,M4} { sz00 = X, ! aNaturalNumber0( X
% 9.96/10.38 ), X = sz10, doDivides0( skol4( X ), X ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 X := skol4( xk )
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 X := xk
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35828) {G1,W9,D3,L3,V0,M3} { ! alpha12( skol4( xk ) ), sz00 =
% 9.96/10.38 xk, xk = sz10 }.
% 9.96/10.38 parent0[2]: (35827) {G1,W11,D3,L4,V0,M4} { ! alpha12( skol4( xk ) ), sz00
% 9.96/10.38 = xk, ! aNaturalNumber0( xk ), xk = sz10 }.
% 9.96/10.38 parent1[0]: (136) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xk ) }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 substitution1:
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 eqswap: (35829) {G1,W9,D3,L3,V0,M3} { xk = sz00, ! alpha12( skol4( xk ) )
% 9.96/10.38 , xk = sz10 }.
% 9.96/10.38 parent0[1]: (35828) {G1,W9,D3,L3,V0,M3} { ! alpha12( skol4( xk ) ), sz00 =
% 9.96/10.38 xk, xk = sz10 }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 subsumption: (13610) {G1,W9,D3,L3,V0,M3} R(80,160);r(136) { xk ==> sz00, xk
% 9.96/10.38 ==> sz10, ! alpha12( skol4( xk ) ) }.
% 9.96/10.38 parent0: (35829) {G1,W9,D3,L3,V0,M3} { xk = sz00, ! alpha12( skol4( xk ) )
% 9.96/10.38 , xk = sz10 }.
% 9.96/10.38 substitution0:
% 9.96/10.38 end
% 9.96/10.38 permutation0:
% 9.96/10.38 0 ==> 0
% 9.96/10.38 1 ==> 2
% 9.96/10.38 2 ==> 1
% 9.96/10.38 end
% 9.96/10.38
% 9.96/10.38 resolution: (35832) {G1,W5,D3,L2,V1,M2} { aNaturalNumber0( skol7( X ) ), !
% 9.96/10.38 alpha16( X ) }.
% 9.96/10.38 parent0[0]: (6192) {G2,W5,D2,L2,V2,M2} R(103,5985) { ! alpha18( X, Y ),
% 9.96/10.38 aNaturalNumber0( Y ) }.
% 9.96/10.38 parent1[1]: (100) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), alpha18( X, skol7
% 71.73/72.14 ( X ) ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 Y := skol7( X )
% 71.73/72.14 end
% 71.73/72.14 substitution1:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 subsumption: (15783) {G3,W5,D3,L2,V1,M2} R(100,6192) { ! alpha16( X ),
% 71.73/72.14 aNaturalNumber0( skol7( X ) ) }.
% 71.73/72.14 parent0: (35832) {G1,W5,D3,L2,V1,M2} { aNaturalNumber0( skol7( X ) ), !
% 71.73/72.14 alpha16( X ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14 permutation0:
% 71.73/72.14 0 ==> 1
% 71.73/72.14 1 ==> 0
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 eqswap: (35833) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, ! alpha18( Y, X ) }.
% 71.73/72.14 parent0[1]: (104) {G0,W6,D2,L2,V2,M2} I { ! alpha18( X, Y ), ! Y = sz10 }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := Y
% 71.73/72.14 Y := X
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 resolution: (35834) {G1,W6,D3,L2,V1,M2} { ! sz10 = skol7( X ), ! alpha16(
% 71.73/72.14 X ) }.
% 71.73/72.14 parent0[1]: (35833) {G0,W6,D2,L2,V2,M2} { ! sz10 = X, ! alpha18( Y, X )
% 71.73/72.14 }.
% 71.73/72.14 parent1[1]: (100) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), alpha18( X, skol7
% 71.73/72.14 ( X ) ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := skol7( X )
% 71.73/72.14 Y := X
% 71.73/72.14 end
% 71.73/72.14 substitution1:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 eqswap: (35835) {G1,W6,D3,L2,V1,M2} { ! skol7( X ) = sz10, ! alpha16( X )
% 71.73/72.14 }.
% 71.73/72.14 parent0[0]: (35834) {G1,W6,D3,L2,V1,M2} { ! sz10 = skol7( X ), ! alpha16(
% 71.73/72.14 X ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 subsumption: (15785) {G1,W6,D3,L2,V1,M2} R(100,104) { ! alpha16( X ), !
% 71.73/72.14 skol7( X ) ==> sz10 }.
% 71.73/72.14 parent0: (35835) {G1,W6,D3,L2,V1,M2} { ! skol7( X ) = sz10, ! alpha16( X )
% 71.73/72.14 }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14 permutation0:
% 71.73/72.14 0 ==> 1
% 71.73/72.14 1 ==> 0
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 *** allocated 15000 integers for justifications
% 71.73/72.14 *** allocated 22500 integers for justifications
% 71.73/72.14 *** allocated 33750 integers for justifications
% 71.73/72.14 *** allocated 50625 integers for justifications
% 71.73/72.14 *** allocated 75937 integers for justifications
% 71.73/72.14 *** allocated 1297440 integers for termspace/termends
% 71.73/72.14 *** allocated 113905 integers for justifications
% 71.73/72.14 *** allocated 170857 integers for justifications
% 71.73/72.14 eqswap: (35837) {G0,W11,D3,L4,V2,M4} { sz10 = X, ! aNaturalNumber0( X ), X
% 71.73/72.14 = sz00, isPrime0( skol4( Y ) ) }.
% 71.73/72.14 parent0[2]: (79) {G0,W11,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), X = sz00
% 71.73/72.14 , X = sz10, isPrime0( skol4( Y ) ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 Y := Y
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 eqswap: (35839) {G0,W6,D3,L2,V1,M2} { ! X ==> skol7( X ), ! alpha16( X )
% 71.73/72.14 }.
% 71.73/72.14 parent0[1]: (101) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), ! skol7( X ) ==>
% 71.73/72.14 X }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 paramod: (998394) {G1,W15,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X ),
% 71.73/72.14 ! aNaturalNumber0( skol7( X ) ), isPrime0( skol4( Y ) ), ! alpha16( X )
% 71.73/72.14 }.
% 71.73/72.14 parent0[2]: (35837) {G0,W11,D3,L4,V2,M4} { sz10 = X, ! aNaturalNumber0( X
% 71.73/72.14 ), X = sz00, isPrime0( skol4( Y ) ) }.
% 71.73/72.14 parent1[0; 3]: (35839) {G0,W6,D3,L2,V1,M2} { ! X ==> skol7( X ), ! alpha16
% 71.73/72.14 ( X ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := skol7( X )
% 71.73/72.14 Y := Y
% 71.73/72.14 end
% 71.73/72.14 substitution1:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 resolution: (999917) {G2,W14,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X
% 71.73/72.14 ), isPrime0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 71.73/72.14 parent0[2]: (998394) {G1,W15,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X
% 71.73/72.14 ), ! aNaturalNumber0( skol7( X ) ), isPrime0( skol4( Y ) ), ! alpha16( X
% 71.73/72.14 ) }.
% 71.73/72.14 parent1[1]: (15783) {G3,W5,D3,L2,V1,M2} R(100,6192) { ! alpha16( X ),
% 71.73/72.14 aNaturalNumber0( skol7( X ) ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 Y := Y
% 71.73/72.14 end
% 71.73/72.14 substitution1:
% 71.73/72.14 X := X
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 eqswap: (999919) {G2,W14,D3,L5,V2,M5} { skol7( X ) = sz10, ! X ==> sz00,
% 71.73/72.14 isPrime0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 71.73/72.14 parent0[1]: (999917) {G2,W14,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X
% 71.73/72.14 ), isPrime0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 Y := Y
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 eqswap: (999920) {G2,W14,D3,L5,V2,M5} { ! sz00 ==> X, skol7( X ) = sz10,
% 71.73/72.14 isPrime0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 71.73/72.14 parent0[1]: (999919) {G2,W14,D3,L5,V2,M5} { skol7( X ) = sz10, ! X ==>
% 71.73/72.14 sz00, isPrime0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 Y := Y
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 factor: (999922) {G2,W12,D3,L4,V2,M4} { ! sz00 ==> X, skol7( X ) = sz10,
% 71.73/72.14 isPrime0( skol4( Y ) ), ! alpha16( X ) }.
% 71.73/72.14 parent0[3, 4]: (999920) {G2,W14,D3,L5,V2,M5} { ! sz00 ==> X, skol7( X ) =
% 71.73/72.14 sz10, isPrime0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 71.73/72.14 substitution0:
% 71.73/72.14 X := X
% 71.73/72.14 Y := Y
% 71.73/72.14 end
% 71.73/72.14
% 71.73/72.14 subsumption: (15793) {G4,W12,D3,L4,V2,M4} P(79,101);r(15783) { ! alpha16( X
% 71.73/72.14 ), ! sz00 = X, skol7( X ) ==> sz10, isPrime0( skol4( Y ) ) }.
% 133.62/134.07 parent0: (999922) {G2,W12,D3,L4,V2,M4} { ! sz00 ==> X, skol7( X ) = sz10,
% 133.62/134.07 isPrime0( skol4( Y ) ), ! alpha16( X ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07 permutation0:
% 133.62/134.07 0 ==> 1
% 133.62/134.07 1 ==> 2
% 133.62/134.07 2 ==> 3
% 133.62/134.07 3 ==> 0
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 eqswap: (999926) {G0,W11,D3,L4,V2,M4} { sz10 = X, ! aNaturalNumber0( X ),
% 133.62/134.07 X = sz00, aNaturalNumber0( skol4( Y ) ) }.
% 133.62/134.07 parent0[2]: (78) {G0,W11,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), X = sz00
% 133.62/134.07 , X = sz10, aNaturalNumber0( skol4( Y ) ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 eqswap: (999928) {G0,W6,D3,L2,V1,M2} { ! X ==> skol7( X ), ! alpha16( X )
% 133.62/134.07 }.
% 133.62/134.07 parent0[1]: (101) {G0,W6,D3,L2,V1,M2} I { ! alpha16( X ), ! skol7( X ) ==>
% 133.62/134.07 X }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 paramod: (1962483) {G1,W15,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X )
% 133.62/134.07 , ! aNaturalNumber0( skol7( X ) ), aNaturalNumber0( skol4( Y ) ), !
% 133.62/134.07 alpha16( X ) }.
% 133.62/134.07 parent0[2]: (999926) {G0,W11,D3,L4,V2,M4} { sz10 = X, ! aNaturalNumber0( X
% 133.62/134.07 ), X = sz00, aNaturalNumber0( skol4( Y ) ) }.
% 133.62/134.07 parent1[0; 3]: (999928) {G0,W6,D3,L2,V1,M2} { ! X ==> skol7( X ), !
% 133.62/134.07 alpha16( X ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := skol7( X )
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07 substitution1:
% 133.62/134.07 X := X
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 resolution: (1964006) {G2,W14,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X
% 133.62/134.07 ), aNaturalNumber0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 133.62/134.07 parent0[2]: (1962483) {G1,W15,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X
% 133.62/134.07 ), ! aNaturalNumber0( skol7( X ) ), aNaturalNumber0( skol4( Y ) ), !
% 133.62/134.07 alpha16( X ) }.
% 133.62/134.07 parent1[1]: (15783) {G3,W5,D3,L2,V1,M2} R(100,6192) { ! alpha16( X ),
% 133.62/134.07 aNaturalNumber0( skol7( X ) ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07 substitution1:
% 133.62/134.07 X := X
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 eqswap: (1964008) {G2,W14,D3,L5,V2,M5} { skol7( X ) = sz10, ! X ==> sz00,
% 133.62/134.07 aNaturalNumber0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 133.62/134.07 parent0[1]: (1964006) {G2,W14,D3,L5,V2,M5} { ! X ==> sz00, sz10 = skol7( X
% 133.62/134.07 ), aNaturalNumber0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 eqswap: (1964009) {G2,W14,D3,L5,V2,M5} { ! sz00 ==> X, skol7( X ) = sz10,
% 133.62/134.07 aNaturalNumber0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 133.62/134.07 parent0[1]: (1964008) {G2,W14,D3,L5,V2,M5} { skol7( X ) = sz10, ! X ==>
% 133.62/134.07 sz00, aNaturalNumber0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 factor: (1964011) {G2,W12,D3,L4,V2,M4} { ! sz00 ==> X, skol7( X ) = sz10,
% 133.62/134.07 aNaturalNumber0( skol4( Y ) ), ! alpha16( X ) }.
% 133.62/134.07 parent0[3, 4]: (1964009) {G2,W14,D3,L5,V2,M5} { ! sz00 ==> X, skol7( X ) =
% 133.62/134.07 sz10, aNaturalNumber0( skol4( Y ) ), ! alpha16( X ), ! alpha16( X ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 subsumption: (15795) {G4,W12,D3,L4,V2,M4} P(78,101);r(15783) { ! alpha16( X
% 133.62/134.07 ), ! sz00 = X, skol7( X ) ==> sz10, aNaturalNumber0( skol4( Y ) ) }.
% 133.62/134.07 parent0: (1964011) {G2,W12,D3,L4,V2,M4} { ! sz00 ==> X, skol7( X ) = sz10
% 133.62/134.07 , aNaturalNumber0( skol4( Y ) ), ! alpha16( X ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07 permutation0:
% 133.62/134.07 0 ==> 1
% 133.62/134.07 1 ==> 2
% 133.62/134.07 2 ==> 3
% 133.62/134.07 3 ==> 0
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 eqswap: (1964014) {G4,W12,D3,L4,V2,M4} { ! X = sz00, ! alpha16( X ), skol7
% 133.62/134.07 ( X ) ==> sz10, aNaturalNumber0( skol4( Y ) ) }.
% 133.62/134.07 parent0[1]: (15795) {G4,W12,D3,L4,V2,M4} P(78,101);r(15783) { ! alpha16( X
% 133.62/134.07 ), ! sz00 = X, skol7( X ) ==> sz10, aNaturalNumber0( skol4( Y ) ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := X
% 133.62/134.07 Y := Y
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 eqrefl: (1964018) {G0,W9,D3,L3,V1,M3} { ! alpha16( sz00 ), skol7( sz00 )
% 133.62/134.07 ==> sz10, aNaturalNumber0( skol4( X ) ) }.
% 133.62/134.07 parent0[0]: (1964014) {G4,W12,D3,L4,V2,M4} { ! X = sz00, ! alpha16( X ),
% 133.62/134.07 skol7( X ) ==> sz10, aNaturalNumber0( skol4( Y ) ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := sz00
% 133.62/134.07 Y := X
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 resolution: (1964019) {G1,W7,D3,L3,V1,M3} { ! alpha16( sz00 ), ! alpha16(
% 133.62/134.07 sz00 ), aNaturalNumber0( skol4( X ) ) }.
% 133.62/134.07 parent0[1]: (15785) {G1,W6,D3,L2,V1,M2} R(100,104) { ! alpha16( X ), !
% 133.62/134.07 skol7( X ) ==> sz10 }.
% 133.62/134.07 parent1[1]: (1964018) {G0,W9,D3,L3,V1,M3} { ! alpha16( sz00 ), skol7( sz00
% 133.62/134.07 ) ==> sz10, aNaturalNumber0( skol4( X ) ) }.
% 133.62/134.07 substitution0:
% 133.62/134.07 X := sz00
% 133.62/134.07 end
% 133.62/134.07 substitution1:
% 133.62/134.07 X := X
% 133.62/134.07 end
% 133.62/134.07
% 133.62/134.07 factor: (1964020) {G1,W5,DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------