TSTP Solution File: SWV178+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV178+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 : Wed Jul 20 16:22:49 EDT 2022
% Result : Theorem 1.78s 2.21s
% Output : Refutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV178+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 14:06:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.14 *** allocated 10000 integers for termspace/termends
% 0.44/1.14 *** allocated 10000 integers for clauses
% 0.44/1.14 *** allocated 10000 integers for justifications
% 0.44/1.14 Bliksem 1.12
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 Automatic Strategy Selection
% 0.44/1.14
% 0.44/1.14 *** allocated 15000 integers for termspace/termends
% 0.44/1.14
% 0.44/1.14 Clauses:
% 0.44/1.14
% 0.44/1.14 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.44/1.14 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.44/1.14 { ! gt( X, X ) }.
% 0.44/1.14 { leq( X, X ) }.
% 0.44/1.14 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.44/1.14 { ! lt( X, Y ), gt( Y, X ) }.
% 0.44/1.14 { ! gt( Y, X ), lt( X, Y ) }.
% 0.44/1.14 { ! geq( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( Y, X ), geq( X, Y ) }.
% 0.44/1.14 { ! gt( Y, X ), leq( X, Y ) }.
% 0.44/1.14 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.44/1.14 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.44/1.14 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.44/1.14 { gt( succ( X ), X ) }.
% 0.44/1.14 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.44/1.14 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.44/1.14 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.44/1.14 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.44/1.14 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.44/1.14 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.44/1.14 T ), X ) = T }.
% 0.44/1.14 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.44/1.14 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.44/1.14 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.44/1.14 a_select3( trans( X ), T, Z ) }.
% 0.44/1.14 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.44/1.14 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.14 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.44/1.14 ) }.
% 0.44/1.14 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.44/1.14 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.44/1.14 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.44/1.14 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.44/1.14 a_select3( inv( X ), T, Z ) }.
% 0.44/1.14 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.44/1.14 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.14 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.44/1.14 .
% 0.44/1.14 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.44/1.14 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.44/1.14 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.44/1.14 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.14 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.44/1.14 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.44/1.14 X, U, U, W ), T, Z ) }.
% 0.44/1.14 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.44/1.14 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.14 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.44/1.14 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.44/1.14 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.44/1.14 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.44/1.14 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.44/1.14 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.44/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.44/1.14 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.44/1.14 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.44/1.14 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.44/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.44/1.14 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.44/1.14 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.44/1.14 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.44/1.14 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.44/1.14 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.44/1.14 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.44/1.14 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.44/1.14 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.44/1.14 ( X, Y ) }.
% 0.44/1.14 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.44/1.14 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.44/1.14 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.44/1.14 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.44/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.44/1.14 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.44/1.14 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.44/1.14 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.44/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.44/1.14 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.44/1.14 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.44/1.14 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.44/1.14 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.44/1.14 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.44/1.14 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.44/1.14 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.44/1.14 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.44/1.14 ( X, Y ) }.
% 0.44/1.14 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.44/1.14 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.44/1.14 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.44/1.14 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.44/1.14 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.44/1.14 U ) ) ), T, Z ) }.
% 0.44/1.14 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.44/1.14 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.14 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.44/1.14 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.44/1.14 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.44/1.14 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.44/1.14 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.44/1.14 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.44/1.14 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.44/1.14 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.44/1.14 W ) ) ), T, Z ) }.
% 0.44/1.14 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.44/1.14 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.44/1.14 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.44/1.14 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.44/1.14 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.44/1.14 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.44/1.14 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.44/1.14 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.44/1.14 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.44/1.14 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.44/1.14 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.44/1.14 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.44/1.14 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.44/1.14 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.44/1.14 ) }.
% 0.44/1.14 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.44/1.14 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.44/1.14 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.44/1.14 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.44/1.14 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.44/1.14 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.44/1.14 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.44/1.14 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.44/1.14 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.44/1.14 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.44/1.14 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.44/1.14 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.44/1.14 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.44/1.14 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.44/1.14 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.44/1.14 alpha19( X, Y ) }.
% 0.44/1.14 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.44/1.14 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.44/1.14 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.44/1.14 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.44/1.14 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.44/1.14 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.44/1.14 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.44/1.14 ), alpha8( X ) }.
% 0.44/1.14 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.44/1.14 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.14 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.14 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.44/1.14 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.44/1.14 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.44/1.14 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.44/1.14 { succ( tptp_minus_1 ) = n0 }.
% 0.44/1.14 { plus( X, n1 ) = succ( X ) }.
% 0.44/1.14 { plus( n1, X ) = succ( X ) }.
% 0.44/1.14 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.44/1.14 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.44/1.14 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.44/1.14 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.44/1.14 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.44/1.14 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.44/1.14 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.44/1.14 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.44/1.14 { minus( X, n1 ) = pred( X ) }.
% 0.44/1.14 { pred( succ( X ) ) = X }.
% 0.44/1.14 { succ( pred( X ) ) = X }.
% 0.44/1.14 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.44/1.14 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.44/1.14 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.44/1.14 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.44/1.14 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.44/1.14 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.44/1.14 , Y, V0 ), Z, T ) = W }.
% 0.44/1.14 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.44/1.14 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.44/1.14 }.
% 0.44/1.14 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.44/1.14 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.44/1.14 U, Z, T, W ), X, Y ) = W }.
% 0.44/1.14 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.44/1.14 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.44/1.14 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.44/1.14 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.44/1.14 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.44/1.14 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.44/1.14 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.44/1.14 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.44/1.14 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.44/1.14 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.44/1.14 T }.
% 0.44/1.14 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.44/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.44/1.14 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.44/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.44/1.14 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.44/1.14 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.44/1.14 { true }.
% 0.44/1.14 { ! def = use }.
% 0.44/1.14 { leq( n0, pv40 ) }.
% 0.44/1.14 { leq( pv40, n4 ) }.
% 0.44/1.14 { gt( loopcounter, n1 ) }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.44/1.14 a_select3( q_init, X, Y ) = init }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( mu_init, X ) = init
% 0.44/1.14 }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( sigma_init, X ) =
% 0.44/1.14 init }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.44/1.14 .
% 0.44/1.14 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.44/1.14 muold_init, X ) = init }.
% 0.44/1.14 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.44/1.14 rhoold_init, X ) = init }.
% 0.44/1.14 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.44/1.14 sigmaold_init, X ) = init }.
% 0.44/1.14 { leq( n0, skol15 ) }.
% 0.44/1.14 { leq( skol15, n4 ) }.
% 0.44/1.14 { ! a_select2( sigmaold_init, skol15 ) = init }.
% 0.44/1.14 { gt( n5, n4 ) }.
% 0.44/1.14 { gt( n135299, n4 ) }.
% 0.44/1.14 { gt( n135299, n5 ) }.
% 0.44/1.14 { gt( n4, tptp_minus_1 ) }.
% 0.44/1.14 { gt( n5, tptp_minus_1 ) }.
% 0.44/1.14 { gt( n135299, tptp_minus_1 ) }.
% 0.44/1.14 { gt( n0, tptp_minus_1 ) }.
% 0.44/1.14 { gt( n1, tptp_minus_1 ) }.
% 0.44/1.14 { gt( n2, tptp_minus_1 ) }.
% 0.44/1.14 { gt( n3, tptp_minus_1 ) }.
% 0.44/1.14 { gt( n4, n0 ) }.
% 0.44/1.14 { gt( n5, n0 ) }.
% 0.44/1.14 { gt( n135299, n0 ) }.
% 0.44/1.14 { gt( n1, n0 ) }.
% 0.44/1.14 { gt( n2, n0 ) }.
% 0.44/1.14 { gt( n3, n0 ) }.
% 0.44/1.14 { gt( n4, n1 ) }.
% 0.44/1.14 { gt( n5, n1 ) }.
% 0.44/1.14 { gt( n135299, n1 ) }.
% 0.44/1.14 { gt( n2, n1 ) }.
% 0.44/1.14 { gt( n3, n1 ) }.
% 0.44/1.14 { gt( n4, n2 ) }.
% 0.44/1.14 { gt( n5, n2 ) }.
% 0.44/1.14 { gt( n135299, n2 ) }.
% 0.44/1.14 { gt( n3, n2 ) }.
% 0.44/1.14 { gt( n4, n3 ) }.
% 0.44/1.14 { gt( n5, n3 ) }.
% 0.44/1.14 { gt( n135299, n3 ) }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.44/1.14 .
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.44/1.14 = n5 }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.44/1.14 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.44/1.14 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.44/1.14 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.44/1.14 { succ( n0 ) = n1 }.
% 0.44/1.14 { succ( succ( n0 ) ) = n2 }.
% 0.44/1.14 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.44/1.14
% 0.44/1.14 percentage equality = 0.185185, percentage horn = 0.875000
% 0.44/1.14 This is a problem with some equality
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 Options Used:
% 0.44/1.14
% 0.44/1.14 useres = 1
% 0.44/1.14 useparamod = 1
% 0.44/1.14 useeqrefl = 1
% 0.44/1.14 useeqfact = 1
% 0.44/1.14 usefactor = 1
% 0.44/1.14 usesimpsplitting = 0
% 0.44/1.14 usesimpdemod = 5
% 0.44/1.14 usesimpres = 3
% 0.44/1.14
% 0.44/1.14 resimpinuse = 1000
% 0.44/1.14 resimpclauses = 20000
% 0.44/1.14 substype = eqrewr
% 0.44/1.14 backwardsubs = 1
% 0.44/1.14 selectoldest = 5
% 0.44/1.14
% 0.44/1.14 litorderings [0] = split
% 0.44/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.14
% 0.44/1.14 termordering = kbo
% 0.44/1.14
% 0.44/1.14 litapriori = 0
% 0.44/1.14 termapriori = 1
% 0.44/1.14 litaposteriori = 0
% 0.44/1.14 termaposteriori = 0
% 0.44/1.14 demodaposteriori = 0
% 0.44/1.14 ordereqreflfact = 0
% 0.44/1.14
% 0.44/1.14 litselect = negord
% 0.44/1.14
% 0.44/1.14 maxweight = 15
% 0.44/1.14 maxdepth = 30000
% 0.44/1.14 maxlength = 115
% 0.44/1.14 maxnrvars = 195
% 0.44/1.14 excuselevel = 1
% 0.44/1.14 increasemaxweight = 1
% 0.44/1.14
% 0.44/1.14 maxselected = 10000000
% 0.44/1.14 maxnrclauses = 10000000
% 0.44/1.14
% 0.44/1.14 showgenerated = 0
% 0.44/1.14 showkept = 0
% 0.44/1.14 showselected = 0
% 0.44/1.14 showdeleted = 0
% 0.44/1.14 showresimp = 1
% 0.44/1.14 showstatus = 2000
% 0.44/1.14
% 0.44/1.14 prologoutput = 0
% 0.44/1.14 nrgoals = 5000000
% 0.44/1.14 totalproof = 1
% 0.44/1.14
% 0.44/1.14 Symbols occurring in the translation:
% 0.44/1.14
% 0.44/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.14 . [1, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.44/1.14 ! [4, 1] (w:0, o:59, a:1, s:1, b:0),
% 0.44/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.78/2.21 gt [37, 2] (w:1, o:94, a:1, s:1, b:0),
% 1.78/2.21 leq [39, 2] (w:1, o:95, a:1, s:1, b:0),
% 1.78/2.21 lt [40, 2] (w:1, o:96, a:1, s:1, b:0),
% 1.78/2.21 geq [41, 2] (w:1, o:97, a:1, s:1, b:0),
% 1.78/2.21 pred [42, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.78/2.21 succ [43, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.78/2.21 n0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.78/2.21 uniform_int_rnd [46, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.78/2.21 dim [51, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.78/2.21 tptp_const_array1 [52, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.78/2.21 a_select2 [53, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.78/2.21 tptp_const_array2 [59, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.78/2.21 a_select3 [60, 3] (w:1, o:150, a:1, s:1, b:0),
% 1.78/2.21 trans [63, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.78/2.21 inv [64, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.78/2.21 tptp_update3 [67, 4] (w:1, o:167, a:1, s:1, b:0),
% 1.78/2.21 tptp_madd [69, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.78/2.21 tptp_msub [70, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.78/2.21 tptp_mmul [71, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.78/2.21 tptp_minus_1 [77, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.78/2.21 sum [78, 3] (w:1, o:147, a:1, s:1, b:0),
% 1.78/2.21 tptp_float_0_0 [79, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.78/2.21 n1 [80, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.78/2.21 plus [81, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.78/2.21 n2 [82, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.78/2.21 n3 [83, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.78/2.21 n4 [84, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.78/2.21 n5 [85, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.78/2.21 minus [86, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.78/2.21 tptp_update2 [91, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.78/2.21 true [92, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.78/2.21 def [93, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.78/2.21 use [94, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.78/2.21 pv40 [95, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.78/2.21 loopcounter [96, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.78/2.21 n135299 [97, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.78/2.21 q_init [98, 0] (w:1, o:55, a:1, s:1, b:0),
% 1.78/2.21 init [99, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.78/2.21 rho_init [100, 0] (w:1, o:57, a:1, s:1, b:0),
% 1.78/2.21 mu_init [101, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.78/2.21 sigma_init [102, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.78/2.21 center_init [103, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.78/2.21 muold_init [105, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.78/2.21 rhoold_init [107, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.78/2.21 sigmaold_init [108, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.78/2.21 alpha1 [109, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.78/2.21 alpha2 [110, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.78/2.21 alpha3 [111, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.78/2.21 alpha4 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.78/2.21 alpha5 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.78/2.21 alpha6 [114, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.78/2.21 alpha7 [115, 2] (w:1, o:145, a:1, s:1, b:1),
% 1.78/2.21 alpha8 [116, 1] (w:1, o:69, a:1, s:1, b:1),
% 1.78/2.21 alpha9 [117, 2] (w:1, o:146, a:1, s:1, b:1),
% 1.78/2.21 alpha10 [118, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.78/2.21 alpha11 [119, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.78/2.21 alpha12 [120, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.78/2.21 alpha13 [121, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.78/2.21 alpha14 [122, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.78/2.21 alpha15 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.78/2.21 alpha16 [124, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.78/2.21 alpha17 [125, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.78/2.21 alpha18 [126, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.78/2.21 alpha19 [127, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.78/2.21 alpha20 [128, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.78/2.21 alpha21 [129, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.78/2.21 alpha22 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.78/2.21 alpha23 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.78/2.21 alpha24 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.78/2.21 alpha25 [133, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.78/2.21 alpha26 [134, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.78/2.21 alpha27 [135, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.78/2.21 alpha28 [136, 3] (w:1, o:162, a:1, s:1, b:1),
% 1.78/2.21 alpha29 [137, 3] (w:1, o:163, a:1, s:1, b:1),
% 1.78/2.21 alpha30 [138, 3] (w:1, o:164, a:1, s:1, b:1),
% 1.78/2.21 skol1 [139, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.78/2.21 skol2 [140, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.78/2.21 skol3 [141, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.78/2.21 skol4 [142, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.78/2.21 skol5 [143, 2] (w:1, o:117, a:1, s:1, b:1),
% 1.78/2.21 skol6 [144, 2] (w:1, o:118, a:1, s:1, b:1),
% 1.78/2.21 skol7 [145, 2] (w:1, o:119, a:1, s:1, b:1),
% 1.78/2.21 skol8 [146, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.78/2.21 skol9 [147, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.78/2.21 skol10 [148, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.78/2.21 skol11 [149, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.78/2.21 skol12 [150, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.78/2.21 skol13 [151, 4] (w:1, o:165, a:1, s:1, b:1),
% 1.78/2.21 skol14 [152, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.78/2.21 skol15 [153, 0] (w:1, o:38, a:1, s:1, b:1),
% 1.78/2.21 skol16 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.78/2.21 skol17 [155, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.78/2.21 skol18 [156, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.78/2.21 skol19 [157, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.78/2.21 skol20 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.78/2.21 skol21 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.78/2.21 skol22 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.78/2.21 skol23 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.78/2.21 skol24 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.78/2.21 skol25 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.78/2.21 skol26 [164, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.78/2.21 skol27 [165, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.78/2.21 skol28 [166, 4] (w:1, o:166, a:1, s:1, b:1),
% 1.78/2.21 skol29 [167, 1] (w:1, o:66, a:1, s:1, b:1).
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 Starting Search:
% 1.78/2.21
% 1.78/2.21 *** allocated 15000 integers for clauses
% 1.78/2.21 *** allocated 22500 integers for clauses
% 1.78/2.21 *** allocated 33750 integers for clauses
% 1.78/2.21 *** allocated 22500 integers for termspace/termends
% 1.78/2.21 *** allocated 50625 integers for clauses
% 1.78/2.21 *** allocated 75937 integers for clauses
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 *** allocated 33750 integers for termspace/termends
% 1.78/2.21 *** allocated 113905 integers for clauses
% 1.78/2.21 *** allocated 50625 integers for termspace/termends
% 1.78/2.21
% 1.78/2.21 Intermediate Status:
% 1.78/2.21 Generated: 7965
% 1.78/2.21 Kept: 2045
% 1.78/2.21 Inuse: 171
% 1.78/2.21 Deleted: 0
% 1.78/2.21 Deletedinuse: 0
% 1.78/2.21
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 *** allocated 170857 integers for clauses
% 1.78/2.21 *** allocated 75937 integers for termspace/termends
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 *** allocated 113905 integers for termspace/termends
% 1.78/2.21 *** allocated 256285 integers for clauses
% 1.78/2.21
% 1.78/2.21 Intermediate Status:
% 1.78/2.21 Generated: 16611
% 1.78/2.21 Kept: 4120
% 1.78/2.21 Inuse: 331
% 1.78/2.21 Deleted: 0
% 1.78/2.21 Deletedinuse: 0
% 1.78/2.21
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 *** allocated 170857 integers for termspace/termends
% 1.78/2.21 *** allocated 384427 integers for clauses
% 1.78/2.21
% 1.78/2.21 Intermediate Status:
% 1.78/2.21 Generated: 23459
% 1.78/2.21 Kept: 6120
% 1.78/2.21 Inuse: 464
% 1.78/2.21 Deleted: 0
% 1.78/2.21 Deletedinuse: 0
% 1.78/2.21
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 *** allocated 256285 integers for termspace/termends
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 Intermediate Status:
% 1.78/2.21 Generated: 31544
% 1.78/2.21 Kept: 8241
% 1.78/2.21 Inuse: 556
% 1.78/2.21 Deleted: 0
% 1.78/2.21 Deletedinuse: 0
% 1.78/2.21
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 *** allocated 576640 integers for clauses
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 Intermediate Status:
% 1.78/2.21 Generated: 36885
% 1.78/2.21 Kept: 10364
% 1.78/2.21 Inuse: 736
% 1.78/2.21 Deleted: 0
% 1.78/2.21 Deletedinuse: 0
% 1.78/2.21
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 *** allocated 384427 integers for termspace/termends
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 Intermediate Status:
% 1.78/2.21 Generated: 44818
% 1.78/2.21 Kept: 12457
% 1.78/2.21 Inuse: 805
% 1.78/2.21 Deleted: 13
% 1.78/2.21 Deletedinuse: 12
% 1.78/2.21
% 1.78/2.21 *** allocated 864960 integers for clauses
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21 Resimplifying inuse:
% 1.78/2.21 Done
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 Intermediate Status:
% 1.78/2.21 Generated: 49074
% 1.78/2.21 Kept: 14505
% 1.78/2.21 Inuse: 869
% 1.78/2.21 Deleted: 14
% 1.78/2.21 Deletedinuse: 12
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 Bliksems!, er is een bewijs:
% 1.78/2.21 % SZS status Theorem
% 1.78/2.21 % SZS output start Refutation
% 1.78/2.21
% 1.78/2.21 (173) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.78/2.21 (181) {G1,W11,D3,L3,V1,M3} I;r(173) { ! leq( n0, X ), ! leq( X, n4 ),
% 1.78/2.21 a_select2( sigmaold_init, X ) ==> init }.
% 1.78/2.21 (182) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.78/2.21 (183) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.78/2.21 (184) {G0,W5,D3,L1,V0,M1} I { ! a_select2( sigmaold_init, skol15 ) ==> init
% 1.78/2.21 }.
% 1.78/2.21 (14472) {G2,W5,D3,L1,V0,M1} R(181,182);r(183) { a_select2( sigmaold_init,
% 1.78/2.21 skol15 ) ==> init }.
% 1.78/2.21 (14505) {G3,W0,D0,L0,V0,M0} S(184);d(14472);q { }.
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 % SZS output end Refutation
% 1.78/2.21 found a proof!
% 1.78/2.21
% 1.78/2.21
% 1.78/2.21 Unprocessed initial clauses:
% 1.78/2.21
% 1.78/2.21 (14507) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.78/2.21 (14508) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.78/2.21 (14509) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.78/2.21 (14510) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.78/2.21 (14511) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.78/2.21 }.
% 1.78/2.21 (14512) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.78/2.21 (14513) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.78/2.21 (14514) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14515) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.78/2.21 (14516) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.78/2.21 (14517) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.78/2.21 (14518) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.78/2.21 (14519) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.78/2.21 (14520) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.78/2.21 (14521) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.78/2.21 (14522) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.78/2.21 (14523) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.78/2.21 (14524) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.78/2.21 , X ) }.
% 1.78/2.21 (14525) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.78/2.21 , X ) ) }.
% 1.78/2.21 (14526) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.78/2.21 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.78/2.21 (14527) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.78/2.21 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.78/2.21 V0 ), X, T ) = V0 }.
% 1.78/2.21 (14528) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.78/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.78/2.21 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.78/2.21 (14529) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.78/2.21 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.78/2.21 = a_select3( trans( X ), T, Z ) }.
% 1.78/2.21 (14530) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.78/2.21 (14531) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14532) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14533) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha10( X, Y, Z ) }.
% 1.78/2.21 (14534) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14535) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14536) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14537) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.78/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.78/2.21 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.78/2.21 (14538) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.78/2.21 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.78/2.21 a_select3( inv( X ), T, Z ) }.
% 1.78/2.21 (14539) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.78/2.21 (14540) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14541) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14542) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha11( X, Y, Z ) }.
% 1.78/2.21 (14543) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14544) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14545) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14546) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.78/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.78/2.21 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.78/2.21 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.78/2.21 (14547) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.78/2.21 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.78/2.21 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.78/2.21 ( X, U, U, W ), T, Z ) }.
% 1.78/2.21 (14548) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.78/2.21 (14549) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14550) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14551) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha12( X, Y, Z ) }.
% 1.78/2.21 (14552) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14553) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14554) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14555) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.78/2.21 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.78/2.21 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.78/2.21 ), U, T ) }.
% 1.78/2.21 (14556) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.78/2.21 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.78/2.21 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.78/2.21 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.78/2.21 (14557) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.78/2.21 (14558) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14559) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14560) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha22( X, Y, Z ) }.
% 1.78/2.21 (14561) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14562) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14563) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14564) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.78/2.21 , skol20( X, Y ) ) }.
% 1.78/2.21 (14565) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.78/2.21 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.78/2.21 }.
% 1.78/2.21 (14566) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.78/2.21 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.78/2.21 (14567) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.78/2.21 (14568) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14569) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14570) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha23( X, Y, Z ) }.
% 1.78/2.21 (14571) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14572) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14573) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14574) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.78/2.21 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.78/2.21 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.78/2.21 ), U, T ) }.
% 1.78/2.21 (14575) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.78/2.21 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.78/2.21 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.78/2.21 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.78/2.21 (14576) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.78/2.21 (14577) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14578) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14579) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha24( X, Y, Z ) }.
% 1.78/2.21 (14580) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14581) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14582) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14583) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.78/2.21 , skol22( X, Y ) ) }.
% 1.78/2.21 (14584) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.78/2.21 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.78/2.21 }.
% 1.78/2.21 (14585) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.78/2.21 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.78/2.21 (14586) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.78/2.21 (14587) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14588) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14589) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha25( X, Y, Z ) }.
% 1.78/2.21 (14590) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14591) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14592) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14593) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.78/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.78/2.21 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.78/2.21 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.78/2.21 (14594) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.78/2.21 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.78/2.21 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.78/2.21 ( X, trans( U ) ) ), T, Z ) }.
% 1.78/2.21 (14595) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.78/2.21 (14596) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14597) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14598) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha17( X, Y, Z ) }.
% 1.78/2.21 (14599) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14600) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14601) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14602) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.78/2.21 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.78/2.21 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.78/2.21 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.78/2.21 (14603) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.78/2.21 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.21 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.78/2.21 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.78/2.21 ( X, trans( W ) ) ), T, Z ) }.
% 1.78/2.21 (14604) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.78/2.21 (14605) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14606) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14607) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha18( X, Y, Z ) }.
% 1.78/2.21 (14608) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14609) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14610) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14611) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.78/2.21 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.78/2.21 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.78/2.21 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.78/2.21 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.78/2.21 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.78/2.21 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.78/2.21 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.78/2.21 (14612) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.78/2.21 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.78/2.21 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.78/2.21 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.78/2.21 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.78/2.21 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.78/2.21 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.78/2.21 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.78/2.21 ) ), W, U ) }.
% 1.78/2.21 (14613) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.78/2.21 (14614) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14615) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14616) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha29( X, Y, Z ) }.
% 1.78/2.21 (14617) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14618) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14619) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14620) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.78/2.21 ), skol26( X, Y ) ) }.
% 1.78/2.21 (14621) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.78/2.21 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.78/2.21 }.
% 1.78/2.21 (14622) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.78/2.21 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.78/2.21 (14623) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.78/2.21 (14624) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14625) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14626) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha30( X, Y, Z ) }.
% 1.78/2.21 (14627) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14628) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14629) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14630) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.78/2.21 skol27( X, Y ) ) }.
% 1.78/2.21 (14631) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.78/2.21 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.78/2.21 (14632) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.78/2.21 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.78/2.21 (14633) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.78/2.21 (14634) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.21 (14635) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.21 (14636) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.21 , X ), alpha28( X, Y, Z ) }.
% 1.78/2.21 (14637) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14638) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.78/2.21 (14639) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14640) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.78/2.21 (14641) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.78/2.21 }.
% 1.78/2.21 (14642) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.78/2.21 (14643) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.78/2.21 (14644) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.78/2.21 (14645) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.78/2.21 (14646) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.78/2.21 (14647) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.78/2.21 }.
% 1.78/2.21 (14648) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.78/2.21 }.
% 1.78/2.21 (14649) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.78/2.21 ) ) ) }.
% 1.78/2.21 (14650) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.78/2.21 ) ) ) }.
% 1.78/2.21 (14651) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.78/2.21 succ( X ) ) ) ) ) }.
% 1.78/2.21 (14652) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.78/2.21 succ( X ) ) ) ) ) }.
% 1.78/2.21 (14653) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.78/2.21 (14654) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.78/2.21 (14655) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.78/2.21 (14656) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.78/2.21 }.
% 1.78/2.21 (14657) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.78/2.21 }.
% 1.78/2.21 (14658) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.78/2.21 (14659) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.78/2.21 (14660) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.78/2.21 ) = T }.
% 1.78/2.21 (14661) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.78/2.21 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.78/2.21 (14662) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.78/2.21 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.78/2.21 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.78/2.21 (14663) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.78/2.21 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.78/2.21 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.78/2.21 (14664) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.78/2.21 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.78/2.21 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.78/2.21 (14665) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.78/2.21 (14666) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.78/2.21 (14667) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.78/2.21 , Y, Z ) }.
% 1.78/2.21 (14668) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.78/2.21 (14669) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.78/2.21 (14670) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.78/2.21 ) }.
% 1.78/2.21 (14671) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.78/2.21 }.
% 1.78/2.21 (14672) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.78/2.21 tptp_update2( Z, X, U ), Y ) = T }.
% 1.78/2.21 (14673) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.78/2.21 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.78/2.21 (14674) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.78/2.21 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.78/2.21 (14675) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.78/2.21 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.78/2.21 }.
% 1.78/2.21 (14676) {G0,W1,D1,L1,V0,M1} { true }.
% 1.78/2.21 (14677) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.78/2.21 (14678) {G0,W3,D2,L1,V0,M1} { leq( n0, pv40 ) }.
% 1.78/2.21 (14679) {G0,W3,D2,L1,V0,M1} { leq( pv40, n4 ) }.
% 1.78/2.21 (14680) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.78/2.21 (14681) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 1.78/2.21 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 1.78/2.21 (14682) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.78/2.21 rho_init, X ) = init }.
% 1.78/2.21 (14683) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv40 ) ),
% 1.78/2.21 a_select2( mu_init, X ) = init }.
% 1.78/2.21 (14684) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv40 ) ),
% 1.78/2.21 a_select2( sigma_init, X ) = init }.
% 1.78/2.21 (14685) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 1.78/2.21 center_init, X, n0 ) = init }.
% 1.78/2.21 (14686) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.78/2.21 leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 1.78/2.21 (14687) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.78/2.21 leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 1.78/2.21 (14688) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.78/2.21 leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 1.78/2.21 (14689) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.78/2.21 (14690) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.78/2.21 (14691) {G0,W5,D3,L1,V0,M1} { ! a_select2( sigmaold_init, skol15 ) = init
% 1.78/2.21 }.
% 1.78/2.21 (14692) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.78/2.21 (14693) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.78/2.21 (14694) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.78/2.21 (14695) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.78/2.21 (14696) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.78/2.21 (14697) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.78/2.21 (14698) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.78/2.21 (14699) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.78/2.21 (14700) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.78/2.21 (14701) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.78/2.21 (14702) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.78/2.21 (14703) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.78/2.21 (14704) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.78/2.21 (14705) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.78/2.21 (14706) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.78/2.21 (14707) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.78/2.21 (14708) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.78/2.21 (14709) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.78/2.21 (14710) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.78/2.21 (14711) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.78/2.21 (14712) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.78/2.21 (14713) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.78/2.21 (14714) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.78/2.21 (14715) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.78/2.21 (14716) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.78/2.21 (14717) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.78/2.21 (14718) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.78/2.21 (14719) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.88/2.23 (14720) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.88/2.23 n1, X = n2, X = n3, X = n4 }.
% 1.88/2.23 (14721) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.88/2.23 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.88/2.23 (14722) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.88/2.23 (14723) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.88/2.23 n1 }.
% 1.88/2.23 (14724) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.88/2.23 n1, X = n2 }.
% 1.88/2.23 (14725) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.88/2.23 n1, X = n2, X = n3 }.
% 1.88/2.23 (14726) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.88/2.23 (14727) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.88/2.23 n5 }.
% 1.88/2.23 (14728) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.88/2.23 (14729) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.88/2.23 (14730) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.88/2.23
% 1.88/2.23
% 1.88/2.23 Total Proof:
% 1.88/2.23
% 1.88/2.23 subsumption: (173) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.88/2.23 parent0: (14680) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 permutation0:
% 1.88/2.23 0 ==> 0
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 *** allocated 576640 integers for termspace/termends
% 1.88/2.23 resolution: (15807) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 )
% 1.88/2.23 , a_select2( sigmaold_init, X ) = init }.
% 1.88/2.23 parent0[0]: (14688) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq
% 1.88/2.23 ( n0, X ), ! leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 1.88/2.23 parent1[0]: (173) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.88/2.23 substitution0:
% 1.88/2.23 X := X
% 1.88/2.23 end
% 1.88/2.23 substitution1:
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 subsumption: (181) {G1,W11,D3,L3,V1,M3} I;r(173) { ! leq( n0, X ), ! leq( X
% 1.88/2.23 , n4 ), a_select2( sigmaold_init, X ) ==> init }.
% 1.88/2.23 parent0: (15807) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ),
% 1.88/2.23 a_select2( sigmaold_init, X ) = init }.
% 1.88/2.23 substitution0:
% 1.88/2.23 X := X
% 1.88/2.23 end
% 1.88/2.23 permutation0:
% 1.88/2.23 0 ==> 0
% 1.88/2.23 1 ==> 1
% 1.88/2.23 2 ==> 2
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 subsumption: (182) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.88/2.23 parent0: (14689) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 permutation0:
% 1.88/2.23 0 ==> 0
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 subsumption: (183) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.88/2.23 parent0: (14690) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 permutation0:
% 1.88/2.23 0 ==> 0
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 subsumption: (184) {G0,W5,D3,L1,V0,M1} I { ! a_select2( sigmaold_init,
% 1.88/2.23 skol15 ) ==> init }.
% 1.88/2.23 parent0: (14691) {G0,W5,D3,L1,V0,M1} { ! a_select2( sigmaold_init, skol15
% 1.88/2.23 ) = init }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 permutation0:
% 1.88/2.23 0 ==> 0
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 eqswap: (17433) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( sigmaold_init,
% 1.88/2.23 X ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.88/2.23 parent0[2]: (181) {G1,W11,D3,L3,V1,M3} I;r(173) { ! leq( n0, X ), ! leq( X
% 1.88/2.23 , n4 ), a_select2( sigmaold_init, X ) ==> init }.
% 1.88/2.23 substitution0:
% 1.88/2.23 X := X
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 resolution: (17434) {G1,W8,D3,L2,V0,M2} { init ==> a_select2(
% 1.88/2.23 sigmaold_init, skol15 ), ! leq( skol15, n4 ) }.
% 1.88/2.23 parent0[1]: (17433) {G1,W11,D3,L3,V1,M3} { init ==> a_select2(
% 1.88/2.23 sigmaold_init, X ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.88/2.23 parent1[0]: (182) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.88/2.23 substitution0:
% 1.88/2.23 X := skol15
% 1.88/2.23 end
% 1.88/2.23 substitution1:
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 resolution: (17435) {G1,W5,D3,L1,V0,M1} { init ==> a_select2(
% 1.88/2.23 sigmaold_init, skol15 ) }.
% 1.88/2.23 parent0[1]: (17434) {G1,W8,D3,L2,V0,M2} { init ==> a_select2(
% 1.88/2.23 sigmaold_init, skol15 ), ! leq( skol15, n4 ) }.
% 1.88/2.23 parent1[0]: (183) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 substitution1:
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 eqswap: (17436) {G1,W5,D3,L1,V0,M1} { a_select2( sigmaold_init, skol15 )
% 1.88/2.23 ==> init }.
% 1.88/2.23 parent0[0]: (17435) {G1,W5,D3,L1,V0,M1} { init ==> a_select2(
% 1.88/2.23 sigmaold_init, skol15 ) }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 subsumption: (14472) {G2,W5,D3,L1,V0,M1} R(181,182);r(183) { a_select2(
% 1.88/2.23 sigmaold_init, skol15 ) ==> init }.
% 1.88/2.23 parent0: (17436) {G1,W5,D3,L1,V0,M1} { a_select2( sigmaold_init, skol15 )
% 1.88/2.23 ==> init }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 permutation0:
% 1.88/2.23 0 ==> 0
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 paramod: (17439) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.88/2.23 parent0[0]: (14472) {G2,W5,D3,L1,V0,M1} R(181,182);r(183) { a_select2(
% 1.88/2.23 sigmaold_init, skol15 ) ==> init }.
% 1.88/2.23 parent1[0; 2]: (184) {G0,W5,D3,L1,V0,M1} I { ! a_select2( sigmaold_init,
% 1.88/2.23 skol15 ) ==> init }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 substitution1:
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 eqrefl: (17440) {G0,W0,D0,L0,V0,M0} { }.
% 1.88/2.23 parent0[0]: (17439) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 subsumption: (14505) {G3,W0,D0,L0,V0,M0} S(184);d(14472);q { }.
% 1.88/2.23 parent0: (17440) {G0,W0,D0,L0,V0,M0} { }.
% 1.88/2.23 substitution0:
% 1.88/2.23 end
% 1.88/2.23 permutation0:
% 1.88/2.23 end
% 1.88/2.23
% 1.88/2.23 Proof check complete!
% 1.88/2.23
% 1.88/2.23 Memory use:
% 1.88/2.23
% 1.88/2.23 space for terms: 350539
% 1.88/2.23 space for clauses: 647239
% 1.88/2.23
% 1.88/2.23
% 1.88/2.23 clauses generated: 49079
% 1.88/2.23 clauses kept: 14506
% 1.88/2.23 clauses selected: 873
% 1.88/2.23 clauses deleted: 15
% 1.88/2.23 clauses inuse deleted: 12
% 1.88/2.23
% 1.88/2.23 subsentry: 162501
% 1.88/2.23 literals s-matched: 68138
% 1.88/2.23 literals matched: 56253
% 1.88/2.23 full subsumption: 40019
% 1.88/2.23
% 1.88/2.23 checksum: -335216244
% 1.88/2.23
% 1.88/2.23
% 1.88/2.23 Bliksem ended
%------------------------------------------------------------------------------