TSTP Solution File: NUM513+3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM513+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:23:05 EDT 2022
% Result : Timeout 300.08s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM513+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jul 6 21:06:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18
% 0.78/1.18 { && }.
% 0.78/1.18 { aNaturalNumber0( sz00 ) }.
% 0.78/1.18 { aNaturalNumber0( sz10 ) }.
% 0.78/1.18 { ! sz10 = sz00 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 0.78/1.18 ( X, Y ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 0.78/1.18 ( X, Y ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 0.78/1.18 sdtpldt0( Y, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.78/1.18 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 0.78/1.18 sdtasdt0( Y, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.78/1.18 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.78/1.18 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 0.78/1.18 , Z ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.78/1.18 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 0.78/1.18 , X ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.78/1.18 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 0.78/1.18 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.78/1.18 , X = sz00 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 0.78/1.18 , Y = sz00 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 0.78/1.18 , X = sz00, Y = sz00 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.78/1.18 aNaturalNumber0( skol1( Z, T ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 0.78/1.18 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.78/1.18 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 0.78/1.18 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.78/1.18 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 0.78/1.18 sdtlseqdt0( Y, X ), X = Y }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 0.78/1.18 X }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 0.78/1.18 sdtlseqdt0( Y, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.78/1.18 ), ! aNaturalNumber0( Z ), alpha5( X, Y, Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.78/1.18 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 0.78/1.18 ) ) }.
% 0.78/1.18 { ! alpha5( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 0.78/1.18 { ! alpha5( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 0.78/1.18 { ! alpha5( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 0.78/1.18 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 0.78/1.18 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha5( X, Y, Z
% 0.78/1.18 ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.78/1.18 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha6( X, Y, Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 0.78/1.18 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 0.78/1.18 sdtasdt0( Z, X ) ) }.
% 0.78/1.18 { ! alpha6( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 0.78/1.18 { ! alpha6( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.78/1.18 { ! alpha6( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 0.78/1.18 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 0.78/1.18 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha6( X, Y, Z
% 0.78/1.18 ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, sdtlseqdt0( Y,
% 0.78/1.18 sdtasdt0( Y, X ) ) }.
% 0.78/1.18 { && }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 0.78/1.18 ), iLess0( X, Y ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ),
% 0.78/1.18 aNaturalNumber0( skol2( Z, T ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.78/1.18 sdtasdt0( X, skol2( X, Y ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 Y = sdtasdt0( X, Z ), doDivides0( X, Y ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.78/1.18 , Y ), ! Z = sdtsldt0( Y, X ), aNaturalNumber0( Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.78/1.18 , Y ), ! Z = sdtsldt0( Y, X ), Y = sdtasdt0( X, Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.78/1.18 , Y ), ! aNaturalNumber0( Z ), ! Y = sdtasdt0( X, Z ), Z = sdtsldt0( Y, X
% 0.78/1.18 ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 doDivides0( X, Y ), ! doDivides0( Y, Z ), doDivides0( X, Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 doDivides0( X, Y ), ! doDivides0( X, Z ), doDivides0( X, sdtpldt0( Y, Z
% 0.78/1.18 ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 0.78/1.18 doDivides0( X, Y ), ! doDivides0( X, sdtpldt0( Y, Z ) ), doDivides0( X,
% 0.78/1.18 Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! doDivides0( X, Y ), Y =
% 0.78/1.18 sz00, sdtlseqdt0( X, Y ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = sz00, ! doDivides0( X
% 0.78/1.18 , Y ), ! aNaturalNumber0( Z ), sdtasdt0( Z, sdtsldt0( Y, X ) ) = sdtsldt0
% 0.78/1.18 ( sdtasdt0( Z, Y ), X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! isPrime0( X ), ! X = sz00 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! isPrime0( X ), alpha1( X ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, ! alpha1( X ), isPrime0( X ) }.
% 0.78/1.18 { ! alpha1( X ), ! X = sz10 }.
% 0.78/1.18 { ! alpha1( X ), alpha2( X ) }.
% 0.78/1.18 { X = sz10, ! alpha2( X ), alpha1( X ) }.
% 0.78/1.18 { ! alpha2( X ), ! alpha3( X, Y ), alpha4( X, Y ) }.
% 0.78/1.18 { alpha3( X, skol3( X ) ), alpha2( X ) }.
% 0.78/1.18 { ! alpha4( X, skol3( X ) ), alpha2( X ) }.
% 0.78/1.18 { ! alpha4( X, Y ), Y = sz10, Y = X }.
% 0.78/1.18 { ! Y = sz10, alpha4( X, Y ) }.
% 0.78/1.18 { ! Y = X, alpha4( X, Y ) }.
% 0.78/1.18 { ! alpha3( X, Y ), aNaturalNumber0( Y ) }.
% 0.78/1.18 { ! alpha3( X, Y ), doDivides0( Y, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( Y ), ! doDivides0( Y, X ), alpha3( X, Y ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, aNaturalNumber0( skol4( Y ) )
% 0.78/1.18 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, isPrime0( skol4( Y ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), X = sz00, X = sz10, doDivides0( skol4( X ), X ) }
% 0.78/1.18 .
% 0.78/1.18 { aNaturalNumber0( xn ) }.
% 0.78/1.18 { aNaturalNumber0( xm ) }.
% 0.78/1.18 { aNaturalNumber0( xp ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.78/1.18 alpha7( Z ), ! aNaturalNumber0( T ), ! sdtasdt0( X, Y ) = sdtasdt0( Z, T
% 0.78/1.18 ), ! iLess0( sdtpldt0( sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm
% 0.78/1.18 ), xp ) ), alpha9( X, Z ), alpha11( Y, Z ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 0.78/1.18 alpha7( Z ), ! doDivides0( Z, sdtasdt0( X, Y ) ), ! iLess0( sdtpldt0(
% 0.78/1.18 sdtpldt0( X, Y ), Z ), sdtpldt0( sdtpldt0( xn, xm ), xp ) ), alpha9( X, Z
% 0.78/1.18 ), alpha11( Y, Z ) }.
% 0.78/1.18 { ! alpha11( X, Y ), aNaturalNumber0( skol5( Z, T ) ) }.
% 0.78/1.18 { ! alpha11( X, Y ), X = sdtasdt0( Y, skol5( X, Y ) ) }.
% 0.78/1.18 { ! alpha11( X, Y ), doDivides0( Y, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.78/1.18 alpha11( X, Y ) }.
% 0.78/1.18 { ! alpha9( X, Y ), aNaturalNumber0( skol6( Z, T ) ) }.
% 0.78/1.18 { ! alpha9( X, Y ), X = sdtasdt0( Y, skol6( X, Y ) ) }.
% 0.78/1.18 { ! alpha9( X, Y ), doDivides0( Y, X ) }.
% 0.78/1.18 { ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ), ! doDivides0( Y, X ),
% 0.78/1.18 alpha9( X, Y ) }.
% 0.78/1.18 { ! alpha7( X ), alpha10( X ) }.
% 0.78/1.18 { ! alpha7( X ), ! isPrime0( X ) }.
% 0.78/1.18 { ! alpha10( X ), isPrime0( X ), alpha7( X ) }.
% 0.78/1.18 { ! alpha10( X ), alpha12( X ), alpha13( X ) }.
% 0.78/1.18 { ! alpha12( X ), alpha10( X ) }.
% 0.78/1.18 { ! alpha13( X ), alpha10( X ) }.
% 0.78/1.18 { ! alpha13( X ), alpha14( X, skol7( X ) ) }.
% 0.78/1.18 { ! alpha13( X ), ! skol7( X ) = X }.
% 0.78/1.18 { ! alpha14( X, Y ), Y = X, alpha13( X ) }.
% 0.78/1.18 { ! alpha14( X, Y ), alpha15( X, Y ) }.
% 0.78/1.18 { ! alpha14( X, Y ), ! Y = sz10 }.
% 0.78/1.18 { ! alpha15( X, Y ), Y = sz10, alpha14( X, Y ) }.
% 0.78/1.18 { ! alpha15( X, Y ), alpha16( X, Y ) }.
% 0.78/1.18 { ! alpha15( X, Y ), doDivides0( Y, X ) }.
% 0.78/1.18 { ! alpha16( X, Y ), ! doDivides0( Y, X ), alpha15( X, Y ) }.
% 0.78/1.18 { ! alpha16( X, Y ), aNaturalNumber0( Y ) }.
% 0.78/1.18 { ! alpha16( X, Y ), aNaturalNumber0( skol8( Z, T ) ) }.
% 0.78/1.18 { ! alpha16( X, Y ), X = sdtasdt0( Y, skol8( X, Y ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! X = sdtasdt0( Y, Z ),
% 0.78/1.18 alpha16( X, Y ) }.
% 0.78/1.18 { ! alpha12( X ), X = sz00, X = sz10 }.
% 0.78/1.18 { ! X = sz00, alpha12( X ) }.
% 0.78/1.18 { ! X = sz10, alpha12( X ) }.
% 0.78/1.18 { ! xp = sz00 }.
% 0.78/1.18 { ! xp = sz10 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xp = sdtasdt0( X, Y ),
% 0.78/1.18 X = sz10, X = xp }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! doDivides0( X, xp ), X = sz10, X = xp }.
% 0.78/1.18 { isPrime0( xp ) }.
% 0.78/1.18 { aNaturalNumber0( skol9 ) }.
% 0.78/1.18 { sdtasdt0( xn, xm ) = sdtasdt0( xp, skol9 ) }.
% 0.78/1.18 { doDivides0( xp, sdtasdt0( xn, xm ) ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xn }.
% 0.78/1.18 { ! sdtlseqdt0( xp, xn ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! sdtpldt0( xp, X ) = xm }.
% 0.78/1.18 { ! sdtlseqdt0( xp, xm ) }.
% 0.78/1.18 { ! xn = xp }.
% 0.78/1.18 { aNaturalNumber0( skol10 ) }.
% 0.78/1.18 { sdtpldt0( xn, skol10 ) = xp }.
% 0.78/1.18 { sdtlseqdt0( xn, xp ) }.
% 0.78/1.18 { ! xm = xp }.
% 0.78/1.18 { aNaturalNumber0( skol18 ) }.
% 0.78/1.18 { sdtpldt0( xm, skol18 ) = xp }.
% 0.78/1.18 { sdtlseqdt0( xm, xp ) }.
% 0.78/1.18 { aNaturalNumber0( xk ) }.
% 0.78/1.18 { sdtasdt0( xn, xm ) = sdtasdt0( xp, xk ) }.
% 0.78/1.18 { xk = sdtsldt0( sdtasdt0( xn, xm ), xp ) }.
% 0.78/1.18 { ! xk = sz00 }.
% 0.78/1.18 { ! xk = sz10 }.
% 0.78/1.18 { ! xk = sz00 }.
% 0.78/1.18 { ! xk = sz10 }.
% 0.78/1.18 { aNaturalNumber0( xr ) }.
% 0.78/1.18 { aNaturalNumber0( skol11 ) }.
% 0.78/1.18 { xk = sdtasdt0( xr, skol11 ) }.
% 0.78/1.18 { doDivides0( xr, xk ) }.
% 0.78/1.18 { ! xr = sz00 }.
% 0.78/1.18 { ! xr = sz10 }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! xr = sdtasdt0( X, Y ),
% 0.78/1.18 X = sz10, X = xr }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! doDivides0( X, xr ), X = sz10, X = xr }.
% 0.78/1.18 { isPrime0( xr ) }.
% 0.78/1.18 { aNaturalNumber0( skol12 ) }.
% 0.78/1.18 { sdtpldt0( xr, skol12 ) = xk }.
% 0.78/1.18 { aNaturalNumber0( skol19 ) }.
% 0.78/1.18 { sdtasdt0( xn, xm ) = sdtasdt0( xr, skol19 ) }.
% 0.78/1.18 { doDivides0( xr, sdtasdt0( xn, xm ) ) }.
% 0.78/1.18 { ! xk = xp }.
% 0.78/1.18 { aNaturalNumber0( skol13 ) }.
% 0.78/1.18 { sdtpldt0( xk, skol13 ) = xp }.
% 0.78/1.18 { sdtlseqdt0( xk, xp ) }.
% 0.78/1.18 { alpha8, aNaturalNumber0( skol14 ) }.
% 0.78/1.18 { alpha8, xm = sdtasdt0( xr, skol14 ) }.
% 0.78/1.18 { alpha8, doDivides0( xr, xm ) }.
% 0.78/1.18 { ! alpha8, aNaturalNumber0( skol15 ) }.
% 0.78/1.18 { ! alpha8, xn = sdtasdt0( xr, skol15 ) }.
% 0.78/1.18 { ! alpha8, doDivides0( xr, xn ) }.
% 0.78/1.18 { ! aNaturalNumber0( X ), ! xn = sdtasdt0( xr, X ), ! doDivides0( xr, xn )
% 0.78/1.18 , alpha8 }.
% 0.78/1.18 { aNaturalNumber0( skol16 ) }.
% 0.78/1.18 { xn = sdtasdt0( xr, skol16 ) }.
% 0.78/1.18 { doDivides0( xr, xn ) }.
% 0.78/1.18 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 0.78/1.18 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 0.78/1.18 { ! sdtsldt0( xn, xr ) = xn }.
% 0.78/1.18 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 0.78/1.18 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 0.78/1.18 { aNaturalNumber0( skol17 ) }.
% 0.78/1.18 { sdtpldt0( sdtsldt0( xn, xr ), skol17 ) = xn }.
% 0.78/1.18 { sdtlseqdt0( sdtsldt0( xn, xr ), xn ) }.
% 0.78/1.18 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 0.78/1.18 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 0.78/1.18 { sdtasdt0( sdtasdt0( sdtsldt0( xn, xr ), xm ), xr ) = sdtasdt0( xn, xm ) }
% 0.78/1.18 .
% 0.78/1.18 { aNaturalNumber0( sdtsldt0( sdtasdt0( xp, xk ), xr ) ) }.
% 17.04/17.42 { sdtasdt0( xp, xk ) = sdtasdt0( xr, sdtsldt0( sdtasdt0( xp, xk ), xr ) ) }
% 17.04/17.42 .
% 17.04/17.42 { sdtasdt0( xn, xm ) = sdtasdt0( sdtsldt0( sdtasdt0( xp, xk ), xr ), xr ) }
% 17.04/17.42 .
% 17.04/17.42 { aNaturalNumber0( sdtsldt0( xk, xr ) ) }.
% 17.04/17.42 { xk = sdtasdt0( xr, sdtsldt0( xk, xr ) ) }.
% 17.04/17.42 { aNaturalNumber0( sdtsldt0( xn, xr ) ) }.
% 17.04/17.42 { xn = sdtasdt0( xr, sdtsldt0( xn, xr ) ) }.
% 17.04/17.42 { ! sdtasdt0( xp, sdtsldt0( xk, xr ) ) = sdtasdt0( sdtsldt0( xn, xr ), xm )
% 17.04/17.42 }.
% 17.04/17.42
% 17.04/17.42 percentage equality = 0.296296, percentage horn = 0.780220
% 17.04/17.42 This is a problem with some equality
% 17.04/17.42
% 17.04/17.42
% 17.04/17.42
% 17.04/17.42 Options Used:
% 17.04/17.42
% 17.04/17.42 useres = 1
% 17.04/17.42 useparamod = 1
% 17.04/17.42 useeqrefl = 1
% 17.04/17.42 useeqfact = 1
% 17.04/17.42 usefactor = 1
% 17.04/17.42 usesimpsplitting = 0
% 17.04/17.42 usesimpdemod = 5
% 17.04/17.42 usesimpres = 3
% 17.04/17.42
% 17.04/17.42 resimpinuse = 1000
% 17.04/17.42 resimpclauses = 20000
% 17.04/17.42 substype = eqrewr
% 17.04/17.42 backwardsubs = 1
% 17.04/17.42 selectoldest = 5
% 17.04/17.42
% 17.04/17.42 litorderings [0] = split
% 17.04/17.42 litorderings [1] = extend the termordering, first sorting on arguments
% 17.04/17.42
% 17.04/17.42 termordering = kbo
% 17.04/17.42
% 17.04/17.42 litapriori = 0
% 17.04/17.42 termapriori = 1
% 17.04/17.42 litaposteriori = 0
% 17.04/17.42 termaposteriori = 0
% 17.04/17.42 demodaposteriori = 0
% 17.04/17.42 ordereqreflfact = 0
% 17.04/17.42
% 17.04/17.42 litselect = negord
% 17.04/17.42
% 17.04/17.42 maxweight = 15
% 17.04/17.42 maxdepth = 30000
% 17.04/17.42 maxlength = 115
% 17.04/17.42 maxnrvars = 195
% 17.04/17.42 excuselevel = 1
% 17.04/17.42 increasemaxweight = 1
% 17.04/17.42
% 17.04/17.42 maxselected = 10000000
% 17.04/17.42 maxnrclauses = 10000000
% 17.04/17.42
% 17.04/17.42 showgenerated = 0
% 17.04/17.42 showkept = 0
% 17.04/17.42 showselected = 0
% 17.04/17.42 showdeleted = 0
% 17.04/17.42 showresimp = 1
% 17.04/17.42 showstatus = 2000
% 17.04/17.42
% 17.04/17.42 prologoutput = 0
% 17.04/17.42 nrgoals = 5000000
% 17.04/17.42 totalproof = 1
% 17.04/17.42
% 17.04/17.42 Symbols occurring in the translation:
% 17.04/17.42
% 17.04/17.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 17.04/17.42 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 17.04/17.42 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 17.04/17.42 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 17.04/17.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.04/17.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.04/17.42 aNaturalNumber0 [36, 1] (w:1, o:35, a:1, s:1, b:0),
% 17.04/17.42 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 17.04/17.42 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 17.04/17.42 sdtpldt0 [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 17.04/17.42 sdtasdt0 [41, 2] (w:1, o:71, a:1, s:1, b:0),
% 17.04/17.42 sdtlseqdt0 [43, 2] (w:1, o:72, a:1, s:1, b:0),
% 17.04/17.42 sdtmndt0 [44, 2] (w:1, o:73, a:1, s:1, b:0),
% 17.04/17.42 iLess0 [45, 2] (w:1, o:74, a:1, s:1, b:0),
% 17.04/17.42 doDivides0 [46, 2] (w:1, o:75, a:1, s:1, b:0),
% 17.04/17.42 sdtsldt0 [47, 2] (w:1, o:76, a:1, s:1, b:0),
% 17.04/17.42 isPrime0 [48, 1] (w:1, o:36, a:1, s:1, b:0),
% 17.04/17.42 xn [49, 0] (w:1, o:12, a:1, s:1, b:0),
% 17.04/17.42 xm [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 17.04/17.42 xp [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 17.04/17.42 xk [54, 0] (w:1, o:16, a:1, s:1, b:0),
% 17.04/17.42 xr [55, 0] (w:1, o:17, a:1, s:1, b:0),
% 17.04/17.42 alpha1 [56, 1] (w:1, o:37, a:1, s:1, b:1),
% 17.04/17.42 alpha2 [57, 1] (w:1, o:41, a:1, s:1, b:1),
% 17.04/17.42 alpha3 [58, 2] (w:1, o:77, a:1, s:1, b:1),
% 17.04/17.42 alpha4 [59, 2] (w:1, o:78, a:1, s:1, b:1),
% 17.04/17.42 alpha5 [60, 3] (w:1, o:89, a:1, s:1, b:1),
% 17.04/17.42 alpha6 [61, 3] (w:1, o:90, a:1, s:1, b:1),
% 17.04/17.42 alpha7 [62, 1] (w:1, o:42, a:1, s:1, b:1),
% 17.04/17.42 alpha8 [63, 0] (w:1, o:18, a:1, s:1, b:1),
% 17.04/17.42 alpha9 [64, 2] (w:1, o:79, a:1, s:1, b:1),
% 17.04/17.42 alpha10 [65, 1] (w:1, o:38, a:1, s:1, b:1),
% 17.04/17.42 alpha11 [66, 2] (w:1, o:80, a:1, s:1, b:1),
% 17.04/17.42 alpha12 [67, 1] (w:1, o:39, a:1, s:1, b:1),
% 17.04/17.42 alpha13 [68, 1] (w:1, o:40, a:1, s:1, b:1),
% 17.04/17.42 alpha14 [69, 2] (w:1, o:81, a:1, s:1, b:1),
% 17.04/17.42 alpha15 [70, 2] (w:1, o:82, a:1, s:1, b:1),
% 17.04/17.42 alpha16 [71, 2] (w:1, o:83, a:1, s:1, b:1),
% 17.04/17.42 skol1 [72, 2] (w:1, o:84, a:1, s:1, b:1),
% 17.04/17.42 skol2 [73, 2] (w:1, o:85, a:1, s:1, b:1),
% 17.04/17.42 skol3 [74, 1] (w:1, o:43, a:1, s:1, b:1),
% 17.04/17.42 skol4 [75, 1] (w:1, o:44, a:1, s:1, b:1),
% 17.04/17.42 skol5 [76, 2] (w:1, o:86, a:1, s:1, b:1),
% 17.04/17.42 skol6 [77, 2] (w:1, o:87, a:1, s:1, b:1),
% 17.04/17.42 skol7 [78, 1] (w:1, o:45, a:1, s:1, b:1),
% 17.04/17.42 skol8 [79, 2] (w:1, o:88, a:1, s:1, b:1),
% 17.04/17.42 skol9 [80, 0] (w:1, o:19, a:1, s:1, b:1),
% 17.04/17.42 skol10 [81, 0] (w:1, o:20, a:1, s:1, b:1),
% 17.04/17.42 skol11 [82, 0] (w:1, o:21, a:1, s:1, b:1),
% 17.04/17.42 skol12 [83, 0] (w:1, o:22, a:1, s:1, b:1),
% 17.04/17.42 skol13 [84, 0] (w:1, o:23, a:1, s:1, b:1),
% 17.04/17.42 skol14 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 104.84/105.29 skol15 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 104.84/105.29 skol16 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 104.84/105.29 skol17 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 104.84/105.29 skol18 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 104.84/105.29 skol19 [90, 0] (w:1, o:29, a:1, s:1, b:1).
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Starting Search:
% 104.84/105.29
% 104.84/105.29 *** allocated 15000 integers for clauses
% 104.84/105.29 *** allocated 22500 integers for clauses
% 104.84/105.29 *** allocated 33750 integers for clauses
% 104.84/105.29 *** allocated 15000 integers for termspace/termends
% 104.84/105.29 *** allocated 50625 integers for clauses
% 104.84/105.29 *** allocated 75937 integers for clauses
% 104.84/105.29 *** allocated 22500 integers for termspace/termends
% 104.84/105.29 *** allocated 113905 integers for clauses
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 33750 integers for termspace/termends
% 104.84/105.29 *** allocated 170857 integers for clauses
% 104.84/105.29 *** allocated 50625 integers for termspace/termends
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 7979
% 104.84/105.29 Kept: 2170
% 104.84/105.29 Inuse: 105
% 104.84/105.29 Deleted: 1
% 104.84/105.29 Deletedinuse: 0
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 75937 integers for termspace/termends
% 104.84/105.29 *** allocated 256285 integers for clauses
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 113905 integers for termspace/termends
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 18822
% 104.84/105.29 Kept: 4261
% 104.84/105.29 Inuse: 159
% 104.84/105.29 Deleted: 2
% 104.84/105.29 Deletedinuse: 0
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 384427 integers for clauses
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 170857 integers for termspace/termends
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 30392
% 104.84/105.29 Kept: 6354
% 104.84/105.29 Inuse: 198
% 104.84/105.29 Deleted: 3
% 104.84/105.29 Deletedinuse: 0
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 576640 integers for clauses
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 51990
% 104.84/105.29 Kept: 8355
% 104.84/105.29 Inuse: 233
% 104.84/105.29 Deleted: 3
% 104.84/105.29 Deletedinuse: 0
% 104.84/105.29
% 104.84/105.29 *** allocated 256285 integers for termspace/termends
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 64432
% 104.84/105.29 Kept: 10639
% 104.84/105.29 Inuse: 267
% 104.84/105.29 Deleted: 5
% 104.84/105.29 Deletedinuse: 1
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 864960 integers for clauses
% 104.84/105.29 *** allocated 384427 integers for termspace/termends
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 82829
% 104.84/105.29 Kept: 12700
% 104.84/105.29 Inuse: 297
% 104.84/105.29 Deleted: 6
% 104.84/105.29 Deletedinuse: 2
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 96344
% 104.84/105.29 Kept: 15159
% 104.84/105.29 Inuse: 342
% 104.84/105.29 Deleted: 8
% 104.84/105.29 Deletedinuse: 4
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 116505
% 104.84/105.29 Kept: 17306
% 104.84/105.29 Inuse: 382
% 104.84/105.29 Deleted: 8
% 104.84/105.29 Deletedinuse: 4
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 576640 integers for termspace/termends
% 104.84/105.29 *** allocated 1297440 integers for clauses
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 125943
% 104.84/105.29 Kept: 20107
% 104.84/105.29 Inuse: 452
% 104.84/105.29 Deleted: 10
% 104.84/105.29 Deletedinuse: 6
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying clauses:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 131392
% 104.84/105.29 Kept: 22119
% 104.84/105.29 Inuse: 482
% 104.84/105.29 Deleted: 4025
% 104.84/105.29 Deletedinuse: 9
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 146325
% 104.84/105.29 Kept: 24337
% 104.84/105.29 Inuse: 512
% 104.84/105.29 Deleted: 4026
% 104.84/105.29 Deletedinuse: 10
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 158373
% 104.84/105.29 Kept: 26349
% 104.84/105.29 Inuse: 570
% 104.84/105.29 Deleted: 4026
% 104.84/105.29 Deletedinuse: 10
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 1946160 integers for clauses
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 165699
% 104.84/105.29 Kept: 28445
% 104.84/105.29 Inuse: 647
% 104.84/105.29 Deleted: 4026
% 104.84/105.29 Deletedinuse: 10
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 *** allocated 864960 integers for termspace/termends
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 183653
% 104.84/105.29 Kept: 30548
% 104.84/105.29 Inuse: 744
% 104.84/105.29 Deleted: 4029
% 104.84/105.29 Deletedinuse: 10
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 201529
% 104.84/105.29 Kept: 32589
% 104.84/105.29 Inuse: 788
% 104.84/105.29 Deleted: 4031
% 104.84/105.29 Deletedinuse: 12
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29 Resimplifying inuse:
% 104.84/105.29 Done
% 104.84/105.29
% 104.84/105.29
% 104.84/105.29 Intermediate Status:
% 104.84/105.29 Generated: 213775
% 104.84/105.29 Kept: 34590
% 104.84/105.29 Inuse: 823
% 104.84/105.29 Deleted: 4033
% 104.84/105.29 Deletedinuse: 14
% 300.08/300.43 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------