%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV185+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 16:22:51 EDT 2022
% Result : Theorem 1.87s 2.28s
% Output : Refutation 1.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV185+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 16 04:42:21 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.81/1.20 *** allocated 10000 integers for termspace/termends
% 0.81/1.20 *** allocated 10000 integers for clauses
% 0.81/1.20 *** allocated 10000 integers for justifications
% 0.81/1.20 Bliksem 1.12
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Automatic Strategy Selection
% 0.81/1.20
% 0.81/1.20 *** allocated 15000 integers for termspace/termends
% 0.81/1.20
% 0.81/1.20 Clauses:
% 0.81/1.20
% 0.81/1.20 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.81/1.20 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.81/1.20 { ! gt( X, X ) }.
% 0.81/1.20 { leq( X, X ) }.
% 0.81/1.20 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.81/1.20 { ! lt( X, Y ), gt( Y, X ) }.
% 0.81/1.20 { ! gt( Y, X ), lt( X, Y ) }.
% 0.81/1.20 { ! geq( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( Y, X ), geq( X, Y ) }.
% 0.81/1.20 { ! gt( Y, X ), leq( X, Y ) }.
% 0.81/1.20 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.81/1.20 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.81/1.20 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.81/1.20 { gt( succ( X ), X ) }.
% 0.81/1.20 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.81/1.20 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.81/1.20 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.81/1.20 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.81/1.20 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.81/1.20 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.81/1.20 T ), X ) = T }.
% 0.81/1.20 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.81/1.20 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.81/1.20 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.81/1.20 a_select3( trans( X ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.81/1.20 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.81/1.20 ) }.
% 0.81/1.20 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.81/1.20 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.81/1.20 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.81/1.20 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.81/1.20 a_select3( inv( X ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.81/1.20 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.81/1.20 .
% 0.81/1.20 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.81/1.20 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.81/1.20 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.81/1.20 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.81/1.20 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.81/1.20 X, U, U, W ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.81/1.20 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.81/1.20 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.81/1.20 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.81/1.20 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.81/1.20 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.81/1.20 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.81/1.20 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.81/1.20 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.81/1.20 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.81/1.20 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.81/1.20 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.81/1.20 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.81/1.20 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.81/1.20 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.81/1.20 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.81/1.20 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.81/1.20 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.81/1.20 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.81/1.20 ( X, Y ) }.
% 0.81/1.20 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.81/1.20 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.81/1.20 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.81/1.20 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.81/1.20 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.81/1.20 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.81/1.20 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.81/1.20 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.81/1.20 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.81/1.20 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.81/1.20 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.81/1.20 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.81/1.20 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.81/1.20 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.81/1.20 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.81/1.20 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.81/1.20 ( X, Y ) }.
% 0.81/1.20 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.81/1.20 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.81/1.20 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.81/1.20 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.81/1.20 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.81/1.20 U ) ) ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.81/1.20 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.81/1.20 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.81/1.20 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.81/1.20 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.81/1.20 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.81/1.20 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.81/1.20 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.81/1.20 W ) ) ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.81/1.20 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.81/1.20 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.81/1.20 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.81/1.20 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.81/1.20 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.81/1.20 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.81/1.20 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.81/1.20 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.81/1.20 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.81/1.20 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.81/1.20 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.81/1.20 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.81/1.20 ) }.
% 0.81/1.20 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.81/1.20 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.81/1.20 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.81/1.20 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.81/1.20 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.81/1.20 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.81/1.20 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.81/1.20 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.81/1.20 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.81/1.20 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.81/1.20 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.81/1.20 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.81/1.20 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.81/1.20 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.81/1.20 alpha19( X, Y ) }.
% 0.81/1.20 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.81/1.20 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.81/1.20 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.81/1.20 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.81/1.20 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.81/1.20 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.81/1.20 ), alpha8( X ) }.
% 0.81/1.20 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.81/1.20 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.81/1.20 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.81/1.20 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.81/1.20 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.81/1.20 { succ( tptp_minus_1 ) = n0 }.
% 0.81/1.20 { plus( X, n1 ) = succ( X ) }.
% 0.81/1.20 { plus( n1, X ) = succ( X ) }.
% 0.81/1.20 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.81/1.20 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.81/1.20 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.81/1.20 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.81/1.20 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.81/1.20 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.81/1.20 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.81/1.20 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.81/1.20 { minus( X, n1 ) = pred( X ) }.
% 0.81/1.20 { pred( succ( X ) ) = X }.
% 0.81/1.20 { succ( pred( X ) ) = X }.
% 0.81/1.20 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.81/1.20 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.81/1.20 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.81/1.20 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.81/1.20 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.81/1.20 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.81/1.20 , Y, V0 ), Z, T ) = W }.
% 0.81/1.20 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.81/1.20 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.81/1.20 }.
% 0.81/1.20 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.81/1.20 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.81/1.20 U, Z, T, W ), X, Y ) = W }.
% 0.81/1.20 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.81/1.20 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.81/1.20 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.81/1.20 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.81/1.20 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.81/1.20 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.81/1.20 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.81/1.20 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.81/1.20 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.81/1.20 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.81/1.20 T }.
% 0.81/1.20 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.81/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.81/1.20 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.81/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.81/1.20 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.81/1.20 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.81/1.20 { true }.
% 0.81/1.20 { ! def = use }.
% 0.81/1.20 { gt( loopcounter, n1 ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.81/1.20 a_select3( q_init, X, Y ) = init }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( mu_init, X ) = init }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( sigma_init, X ) = init }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.81/1.20 .
% 0.81/1.20 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.81/1.20 muold_init, X ) = init }.
% 0.81/1.20 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.81/1.20 rhoold_init, X ) = init }.
% 0.81/1.20 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.81/1.20 sigmaold_init, X ) = init }.
% 0.81/1.20 { leq( n0, skol15 ) }.
% 0.81/1.20 { leq( skol15, n4 ) }.
% 0.81/1.20 { ! a_select2( rhoold_init, skol15 ) = init }.
% 0.81/1.20 { gt( n5, n4 ) }.
% 0.81/1.20 { gt( n135299, n4 ) }.
% 0.81/1.20 { gt( n135299, n5 ) }.
% 0.81/1.20 { gt( n4, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n5, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n135299, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n0, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n1, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n2, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n3, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n4, n0 ) }.
% 0.81/1.20 { gt( n5, n0 ) }.
% 0.81/1.20 { gt( n135299, n0 ) }.
% 0.81/1.20 { gt( n1, n0 ) }.
% 0.81/1.20 { gt( n2, n0 ) }.
% 0.81/1.20 { gt( n3, n0 ) }.
% 0.81/1.20 { gt( n4, n1 ) }.
% 0.81/1.20 { gt( n5, n1 ) }.
% 0.81/1.20 { gt( n135299, n1 ) }.
% 0.81/1.20 { gt( n2, n1 ) }.
% 0.81/1.20 { gt( n3, n1 ) }.
% 0.81/1.20 { gt( n4, n2 ) }.
% 0.81/1.20 { gt( n5, n2 ) }.
% 0.81/1.20 { gt( n135299, n2 ) }.
% 0.81/1.20 { gt( n3, n2 ) }.
% 0.81/1.20 { gt( n4, n3 ) }.
% 0.81/1.20 { gt( n5, n3 ) }.
% 0.81/1.20 { gt( n135299, n3 ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.81/1.20 .
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.81/1.20 = n5 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.81/1.20 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.81/1.20 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.81/1.20 { succ( n0 ) = n1 }.
% 0.81/1.20 { succ( succ( n0 ) ) = n2 }.
% 0.81/1.20 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.81/1.20
% 0.81/1.20 percentage equality = 0.185841, percentage horn = 0.873874
% 0.81/1.20 This is a problem with some equality
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Options Used:
% 0.81/1.20
% 0.81/1.20 useres = 1
% 0.81/1.20 useparamod = 1
% 0.81/1.20 useeqrefl = 1
% 0.81/1.20 useeqfact = 1
% 0.81/1.20 usefactor = 1
% 0.81/1.20 usesimpsplitting = 0
% 0.81/1.20 usesimpdemod = 5
% 0.81/1.20 usesimpres = 3
% 0.81/1.20
% 0.81/1.20 resimpinuse = 1000
% 0.81/1.20 resimpclauses = 20000
% 0.81/1.20 substype = eqrewr
% 0.81/1.20 backwardsubs = 1
% 0.81/1.20 selectoldest = 5
% 0.81/1.20
% 0.81/1.20 litorderings [0] = split
% 0.81/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.20
% 0.81/1.20 termordering = kbo
% 0.81/1.20
% 0.81/1.20 litapriori = 0
% 0.81/1.20 termapriori = 1
% 0.81/1.20 litaposteriori = 0
% 0.81/1.20 termaposteriori = 0
% 0.81/1.20 demodaposteriori = 0
% 0.81/1.20 ordereqreflfact = 0
% 0.81/1.20
% 0.81/1.20 litselect = negord
% 0.81/1.20
% 0.81/1.20 maxweight = 15
% 0.81/1.20 maxdepth = 30000
% 0.81/1.20 maxlength = 115
% 0.81/1.20 maxnrvars = 195
% 0.81/1.20 excuselevel = 1
% 0.81/1.20 increasemaxweight = 1
% 0.81/1.20
% 0.81/1.20 maxselected = 10000000
% 0.81/1.20 maxnrclauses = 10000000
% 0.81/1.20
% 0.81/1.20 showgenerated = 0
% 0.81/1.20 showkept = 0
% 0.81/1.20 showselected = 0
% 0.81/1.20 showdeleted = 0
% 0.81/1.20 showresimp = 1
% 0.81/1.20 showstatus = 2000
% 0.81/1.20
% 0.81/1.20 prologoutput = 0
% 0.81/1.20 nrgoals = 5000000
% 0.81/1.20 totalproof = 1
% 0.81/1.20
% 0.81/1.20 Symbols occurring in the translation:
% 0.81/1.20
% 0.81/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.20 . [1, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.81/1.20 ! [4, 1] (w:0, o:58, a:1, s:1, b:0),
% 0.81/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.20 gt [37, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.81/1.20 leq [39, 2] (w:1, o:94, a:1, s:1, b:0),
% 1.87/2.28 lt [40, 2] (w:1, o:95, a:1, s:1, b:0),
% 1.87/2.28 geq [41, 2] (w:1, o:96, a:1, s:1, b:0),
% 1.87/2.28 pred [42, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.87/2.28 succ [43, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.87/2.28 n0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.87/2.28 uniform_int_rnd [46, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.87/2.28 dim [51, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.87/2.28 tptp_const_array1 [52, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.87/2.28 a_select2 [53, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.87/2.28 tptp_const_array2 [59, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.87/2.28 a_select3 [60, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.87/2.28 trans [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.87/2.28 inv [64, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.87/2.28 tptp_update3 [67, 4] (w:1, o:166, a:1, s:1, b:0),
% 1.87/2.28 tptp_madd [69, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.87/2.28 tptp_msub [70, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.87/2.28 tptp_mmul [71, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.87/2.28 tptp_minus_1 [77, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.87/2.28 sum [78, 3] (w:1, o:146, a:1, s:1, b:0),
% 1.87/2.28 tptp_float_0_0 [79, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.87/2.28 n1 [80, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.87/2.28 plus [81, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.87/2.28 n2 [82, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.87/2.28 n3 [83, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.87/2.28 n4 [84, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.87/2.28 n5 [85, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.87/2.28 minus [86, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.87/2.28 tptp_update2 [91, 3] (w:1, o:150, a:1, s:1, b:0),
% 1.87/2.28 true [92, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.87/2.28 def [93, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.87/2.28 use [94, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.87/2.28 loopcounter [95, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.87/2.28 n135299 [96, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.87/2.28 q_init [97, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.87/2.28 init [98, 0] (w:1, o:55, a:1, s:1, b:0),
% 1.87/2.28 rho_init [99, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.87/2.28 mu_init [100, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.87/2.28 sigma_init [101, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.87/2.28 center_init [102, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.87/2.28 muold_init [104, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.87/2.28 rhoold_init [106, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.87/2.28 sigmaold_init [107, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.87/2.28 alpha1 [108, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.87/2.28 alpha2 [109, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.87/2.28 alpha3 [110, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.87/2.28 alpha4 [111, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.87/2.28 alpha5 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.87/2.28 alpha6 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.87/2.28 alpha7 [114, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.87/2.28 alpha8 [115, 1] (w:1, o:68, a:1, s:1, b:1),
% 1.87/2.28 alpha9 [116, 2] (w:1, o:145, a:1, s:1, b:1),
% 1.87/2.28 alpha10 [117, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.87/2.28 alpha11 [118, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.87/2.28 alpha12 [119, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.87/2.28 alpha13 [120, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.87/2.28 alpha14 [121, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.87/2.28 alpha15 [122, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.87/2.28 alpha16 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.87/2.28 alpha17 [124, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.87/2.28 alpha18 [125, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.87/2.28 alpha19 [126, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.87/2.28 alpha20 [127, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.87/2.28 alpha21 [128, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.87/2.28 alpha22 [129, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.87/2.28 alpha23 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.87/2.28 alpha24 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.87/2.28 alpha25 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.87/2.28 alpha26 [133, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.87/2.28 alpha27 [134, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.87/2.28 alpha28 [135, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.87/2.28 alpha29 [136, 3] (w:1, o:162, a:1, s:1, b:1),
% 1.87/2.28 alpha30 [137, 3] (w:1, o:163, a:1, s:1, b:1),
% 1.87/2.28 skol1 [138, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.87/2.28 skol2 [139, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.87/2.28 skol3 [140, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.87/2.28 skol4 [141, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.87/2.28 skol5 [142, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.87/2.28 skol6 [143, 2] (w:1, o:117, a:1, s:1, b:1),
% 1.87/2.28 skol7 [144, 2] (w:1, o:118, a:1, s:1, b:1),
% 1.87/2.28 skol8 [145, 2] (w:1, o:119, a:1, s:1, b:1),
% 1.87/2.28 skol9 [146, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.87/2.28 skol10 [147, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.87/2.28 skol11 [148, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.87/2.28 skol12 [149, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.87/2.28 skol13 [150, 4] (w:1, o:164, a:1, s:1, b:1),
% 1.87/2.28 skol14 [151, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.87/2.28 skol15 [152, 0] (w:1, o:38, a:1, s:1, b:1),
% 1.87/2.28 skol16 [153, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.87/2.28 skol17 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.87/2.28 skol18 [155, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.87/2.28 skol19 [156, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.87/2.28 skol20 [157, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.87/2.28 skol21 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.87/2.28 skol22 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.87/2.28 skol23 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.87/2.28 skol24 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.87/2.28 skol25 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.87/2.28 skol26 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.87/2.28 skol27 [164, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.87/2.28 skol28 [165, 4] (w:1, o:165, a:1, s:1, b:1),
% 1.87/2.28 skol29 [166, 1] (w:1, o:65, a:1, s:1, b:1).
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 Starting Search:
% 1.87/2.28
% 1.87/2.28 *** allocated 15000 integers for clauses
% 1.87/2.28 *** allocated 22500 integers for clauses
% 1.87/2.28 *** allocated 33750 integers for clauses
% 1.87/2.28 *** allocated 22500 integers for termspace/termends
% 1.87/2.28 *** allocated 50625 integers for clauses
% 1.87/2.28 *** allocated 75937 integers for clauses
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 33750 integers for termspace/termends
% 1.87/2.28 *** allocated 113905 integers for clauses
% 1.87/2.28 *** allocated 50625 integers for termspace/termends
% 1.87/2.28
% 1.87/2.28 Intermediate Status:
% 1.87/2.28 Generated: 7963
% 1.87/2.28 Kept: 2043
% 1.87/2.28 Inuse: 171
% 1.87/2.28 Deleted: 0
% 1.87/2.28 Deletedinuse: 0
% 1.87/2.28
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 170857 integers for clauses
% 1.87/2.28 *** allocated 75937 integers for termspace/termends
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 113905 integers for termspace/termends
% 1.87/2.28 *** allocated 256285 integers for clauses
% 1.87/2.28
% 1.87/2.28 Intermediate Status:
% 1.87/2.28 Generated: 16462
% 1.87/2.28 Kept: 4058
% 1.87/2.28 Inuse: 331
% 1.87/2.28 Deleted: 0
% 1.87/2.28 Deletedinuse: 0
% 1.87/2.28
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 170857 integers for termspace/termends
% 1.87/2.28 *** allocated 384427 integers for clauses
% 1.87/2.28
% 1.87/2.28 Intermediate Status:
% 1.87/2.28 Generated: 23338
% 1.87/2.28 Kept: 6067
% 1.87/2.28 Inuse: 461
% 1.87/2.28 Deleted: 0
% 1.87/2.28 Deletedinuse: 0
% 1.87/2.28
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 256285 integers for termspace/termends
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 Intermediate Status:
% 1.87/2.28 Generated: 31407
% 1.87/2.28 Kept: 8174
% 1.87/2.28 Inuse: 556
% 1.87/2.28 Deleted: 0
% 1.87/2.28 Deletedinuse: 0
% 1.87/2.28
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 576640 integers for clauses
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 Intermediate Status:
% 1.87/2.28 Generated: 36658
% 1.87/2.28 Kept: 10254
% 1.87/2.28 Inuse: 736
% 1.87/2.28 Deleted: 0
% 1.87/2.28 Deletedinuse: 0
% 1.87/2.28
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 384427 integers for termspace/termends
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 Intermediate Status:
% 1.87/2.28 Generated: 44640
% 1.87/2.28 Kept: 12361
% 1.87/2.28 Inuse: 805
% 1.87/2.28 Deleted: 13
% 1.87/2.28 Deletedinuse: 12
% 1.87/2.28
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28 *** allocated 864960 integers for clauses
% 1.87/2.28 Resimplifying inuse:
% 1.87/2.28 Done
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 Intermediate Status:
% 1.87/2.28 Generated: 48908
% 1.87/2.28 Kept: 14403
% 1.87/2.28 Inuse: 869
% 1.87/2.28 Deleted: 14
% 1.87/2.28 Deletedinuse: 12
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 Bliksems!, er is een bewijs:
% 1.87/2.28 % SZS status Theorem
% 1.87/2.28 % SZS output start Refutation
% 1.87/2.28
% 1.87/2.28 (171) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.87/2.28 (178) {G1,W11,D3,L3,V1,M3} I;r(171) { ! leq( n0, X ), ! leq( X, n4 ),
% 1.87/2.28 a_select2( rhoold_init, X ) ==> init }.
% 1.87/2.28 (180) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.87/2.28 (181) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.87/2.28 (182) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rhoold_init, skol15 ) ==> init
% 1.87/2.28 }.
% 1.87/2.28 (14242) {G2,W5,D3,L1,V0,M1} R(178,180);r(181) { a_select2( rhoold_init,
% 1.87/2.28 skol15 ) ==> init }.
% 1.87/2.28 (14403) {G3,W0,D0,L0,V0,M0} S(182);d(14242);q { }.
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 % SZS output end Refutation
% 1.87/2.28 found a proof!
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 Unprocessed initial clauses:
% 1.87/2.28
% 1.87/2.28 (14405) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.87/2.28 (14406) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.87/2.28 (14407) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.87/2.28 (14408) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.87/2.28 (14409) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.87/2.28 }.
% 1.87/2.28 (14410) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.87/2.28 (14411) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.87/2.28 (14412) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14413) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.87/2.28 (14414) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.87/2.28 (14415) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.87/2.28 (14416) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.87/2.28 (14417) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.87/2.28 (14418) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.87/2.28 (14419) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.87/2.28 (14420) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.87/2.28 (14421) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.87/2.28 (14422) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.87/2.28 , X ) }.
% 1.87/2.28 (14423) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.87/2.28 , X ) ) }.
% 1.87/2.28 (14424) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.87/2.28 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.87/2.28 (14425) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.87/2.28 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.87/2.28 V0 ), X, T ) = V0 }.
% 1.87/2.28 (14426) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.87/2.28 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.87/2.28 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.87/2.28 (14427) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.87/2.28 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.87/2.28 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.87/2.28 = a_select3( trans( X ), T, Z ) }.
% 1.87/2.28 (14428) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.87/2.28 (14429) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14430) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14431) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha10( X, Y, Z ) }.
% 1.87/2.28 (14432) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14433) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14434) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14435) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.87/2.28 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.87/2.28 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.87/2.28 (14436) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.87/2.28 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.87/2.28 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.87/2.28 a_select3( inv( X ), T, Z ) }.
% 1.87/2.28 (14437) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.87/2.28 (14438) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14439) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14440) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha11( X, Y, Z ) }.
% 1.87/2.28 (14441) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14442) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14443) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14444) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.87/2.28 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.87/2.28 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.87/2.28 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.87/2.28 (14445) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.87/2.28 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.87/2.28 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.87/2.28 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.87/2.28 ( X, U, U, W ), T, Z ) }.
% 1.87/2.28 (14446) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.87/2.28 (14447) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14448) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14449) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha12( X, Y, Z ) }.
% 1.87/2.28 (14450) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14451) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14452) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14453) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.87/2.28 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.87/2.28 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.87/2.28 ), U, T ) }.
% 1.87/2.28 (14454) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.87/2.28 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.87/2.28 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.87/2.28 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.87/2.28 (14455) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.87/2.28 (14456) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14457) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14458) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha22( X, Y, Z ) }.
% 1.87/2.28 (14459) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14460) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14461) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14462) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.87/2.28 , skol20( X, Y ) ) }.
% 1.87/2.28 (14463) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.87/2.28 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.87/2.28 }.
% 1.87/2.28 (14464) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.87/2.28 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.87/2.28 (14465) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.87/2.28 (14466) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14467) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14468) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha23( X, Y, Z ) }.
% 1.87/2.28 (14469) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14470) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14471) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14472) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.87/2.28 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.87/2.28 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.87/2.28 ), U, T ) }.
% 1.87/2.28 (14473) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.87/2.28 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.87/2.28 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.87/2.28 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.87/2.28 (14474) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.87/2.28 (14475) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14476) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14477) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha24( X, Y, Z ) }.
% 1.87/2.28 (14478) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14479) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14480) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14481) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.87/2.28 , skol22( X, Y ) ) }.
% 1.87/2.28 (14482) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.87/2.28 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.87/2.28 }.
% 1.87/2.28 (14483) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.87/2.28 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.87/2.28 (14484) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.87/2.28 (14485) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14486) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14487) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha25( X, Y, Z ) }.
% 1.87/2.28 (14488) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14489) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14490) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14491) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.87/2.28 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.87/2.28 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.87/2.28 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.87/2.28 (14492) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.87/2.28 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.87/2.28 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.87/2.28 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.87/2.28 ( X, trans( U ) ) ), T, Z ) }.
% 1.87/2.28 (14493) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.87/2.28 (14494) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14495) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14496) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha17( X, Y, Z ) }.
% 1.87/2.28 (14497) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14498) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14499) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14500) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.87/2.28 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.87/2.28 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.87/2.28 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.87/2.28 (14501) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.87/2.28 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.87/2.28 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.87/2.28 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.87/2.28 ( X, trans( W ) ) ), T, Z ) }.
% 1.87/2.28 (14502) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.87/2.28 (14503) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14504) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14505) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha18( X, Y, Z ) }.
% 1.87/2.28 (14506) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14507) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14508) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14509) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.87/2.28 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.87/2.28 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.87/2.28 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.87/2.28 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.87/2.28 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.87/2.28 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.87/2.28 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.87/2.28 (14510) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.87/2.28 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.87/2.28 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.87/2.28 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.87/2.28 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.87/2.28 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.87/2.28 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.87/2.28 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.87/2.28 ) ), W, U ) }.
% 1.87/2.28 (14511) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.87/2.28 (14512) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14513) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14514) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha29( X, Y, Z ) }.
% 1.87/2.28 (14515) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14516) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14517) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14518) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.87/2.28 ), skol26( X, Y ) ) }.
% 1.87/2.28 (14519) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.87/2.28 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.87/2.28 }.
% 1.87/2.28 (14520) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.87/2.28 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.87/2.28 (14521) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.87/2.28 (14522) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14523) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14524) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha30( X, Y, Z ) }.
% 1.87/2.28 (14525) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14526) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14527) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14528) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.87/2.28 skol27( X, Y ) ) }.
% 1.87/2.28 (14529) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.87/2.28 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.87/2.28 (14530) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.87/2.28 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.87/2.28 (14531) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.87/2.28 (14532) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.87/2.28 (14533) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.87/2.28 (14534) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.87/2.28 , X ), alpha28( X, Y, Z ) }.
% 1.87/2.28 (14535) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14536) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.87/2.28 (14537) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14538) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.87/2.28 (14539) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.87/2.28 }.
% 1.87/2.28 (14540) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.87/2.28 (14541) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.87/2.28 (14542) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.87/2.28 (14543) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.87/2.28 (14544) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.87/2.28 (14545) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.87/2.28 }.
% 1.87/2.28 (14546) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.87/2.28 }.
% 1.87/2.28 (14547) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.87/2.28 ) ) ) }.
% 1.87/2.28 (14548) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.87/2.28 ) ) ) }.
% 1.87/2.28 (14549) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.87/2.28 succ( X ) ) ) ) ) }.
% 1.87/2.28 (14550) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.87/2.28 succ( X ) ) ) ) ) }.
% 1.87/2.28 (14551) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.87/2.28 (14552) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.87/2.28 (14553) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.87/2.28 (14554) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.87/2.28 }.
% 1.87/2.28 (14555) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.87/2.28 }.
% 1.87/2.28 (14556) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.87/2.28 (14557) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.87/2.28 (14558) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.87/2.28 ) = T }.
% 1.87/2.28 (14559) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.87/2.28 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.87/2.28 (14560) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.87/2.28 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.87/2.28 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.87/2.28 (14561) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.87/2.28 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.87/2.28 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.87/2.28 (14562) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.87/2.28 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.87/2.28 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.87/2.28 (14563) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.87/2.28 (14564) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.87/2.28 (14565) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.87/2.28 , Y, Z ) }.
% 1.87/2.28 (14566) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.87/2.28 (14567) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.87/2.28 (14568) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.87/2.28 ) }.
% 1.87/2.28 (14569) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.87/2.28 }.
% 1.87/2.28 (14570) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.87/2.28 tptp_update2( Z, X, U ), Y ) = T }.
% 1.87/2.28 (14571) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.87/2.28 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.87/2.28 (14572) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.87/2.28 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.87/2.28 (14573) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.87/2.28 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.87/2.28 }.
% 1.87/2.28 (14574) {G0,W1,D1,L1,V0,M1} { true }.
% 1.87/2.28 (14575) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.87/2.28 (14576) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.87/2.28 (14577) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 1.87/2.28 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 1.87/2.28 (14578) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.87/2.28 rho_init, X ) = init }.
% 1.87/2.28 (14579) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.87/2.28 mu_init, X ) = init }.
% 1.87/2.28 (14580) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.87/2.28 sigma_init, X ) = init }.
% 1.87/2.28 (14581) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 1.87/2.28 center_init, X, n0 ) = init }.
% 1.87/2.28 (14582) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.87/2.28 leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 1.87/2.28 (14583) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.87/2.28 leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 1.87/2.28 (14584) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.87/2.28 leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 1.87/2.28 (14585) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.87/2.28 (14586) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.87/2.28 (14587) {G0,W5,D3,L1,V0,M1} { ! a_select2( rhoold_init, skol15 ) = init
% 1.87/2.28 }.
% 1.87/2.28 (14588) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.87/2.28 (14589) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.87/2.28 (14590) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.87/2.28 (14591) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.87/2.28 (14592) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.87/2.28 (14593) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.87/2.28 (14594) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.87/2.28 (14595) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.87/2.28 (14596) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.87/2.28 (14597) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.87/2.28 (14598) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.87/2.28 (14599) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.87/2.28 (14600) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.87/2.28 (14601) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.87/2.28 (14602) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.87/2.28 (14603) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.87/2.28 (14604) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.87/2.28 (14605) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.87/2.28 (14606) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.87/2.28 (14607) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.87/2.28 (14608) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.87/2.28 (14609) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.87/2.28 (14610) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.87/2.28 (14611) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.87/2.28 (14612) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.87/2.28 (14613) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.87/2.28 (14614) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.87/2.28 (14615) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.87/2.28 (14616) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.87/2.28 n1, X = n2, X = n3, X = n4 }.
% 1.87/2.28 (14617) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.87/2.28 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.93/2.30 (14618) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.93/2.30 (14619) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.93/2.30 n1 }.
% 1.93/2.30 (14620) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.93/2.30 n1, X = n2 }.
% 1.93/2.30 (14621) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.93/2.30 n1, X = n2, X = n3 }.
% 1.93/2.30 (14622) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.93/2.30 (14623) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.93/2.30 n5 }.
% 1.93/2.30 (14624) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.93/2.30 (14625) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.93/2.30 (14626) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.93/2.30
% 1.93/2.30
% 1.93/2.30 Total Proof:
% 1.93/2.30
% 1.93/2.30 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.93/2.30 parent0: (14576) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 permutation0:
% 1.93/2.30 0 ==> 0
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 *** allocated 576640 integers for termspace/termends
% 1.93/2.30 resolution: (15698) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 )
% 1.93/2.30 , a_select2( rhoold_init, X ) = init }.
% 1.93/2.30 parent0[0]: (14583) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq
% 1.93/2.30 ( n0, X ), ! leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 1.93/2.30 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.93/2.30 substitution0:
% 1.93/2.30 X := X
% 1.93/2.30 end
% 1.93/2.30 substitution1:
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 subsumption: (178) {G1,W11,D3,L3,V1,M3} I;r(171) { ! leq( n0, X ), ! leq( X
% 1.93/2.30 , n4 ), a_select2( rhoold_init, X ) ==> init }.
% 1.93/2.30 parent0: (15698) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ),
% 1.93/2.30 a_select2( rhoold_init, X ) = init }.
% 1.93/2.30 substitution0:
% 1.93/2.30 X := X
% 1.93/2.30 end
% 1.93/2.30 permutation0:
% 1.93/2.30 0 ==> 0
% 1.93/2.30 1 ==> 1
% 1.93/2.30 2 ==> 2
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 subsumption: (180) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.93/2.30 parent0: (14585) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 permutation0:
% 1.93/2.30 0 ==> 0
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 subsumption: (181) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.93/2.30 parent0: (14586) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 permutation0:
% 1.93/2.30 0 ==> 0
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 subsumption: (182) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rhoold_init, skol15
% 1.93/2.30 ) ==> init }.
% 1.93/2.30 parent0: (14587) {G0,W5,D3,L1,V0,M1} { ! a_select2( rhoold_init, skol15 )
% 1.93/2.30 = init }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 permutation0:
% 1.93/2.30 0 ==> 0
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 eqswap: (17324) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( rhoold_init, X
% 1.93/2.30 ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.93/2.30 parent0[2]: (178) {G1,W11,D3,L3,V1,M3} I;r(171) { ! leq( n0, X ), ! leq( X
% 1.93/2.30 , n4 ), a_select2( rhoold_init, X ) ==> init }.
% 1.93/2.30 substitution0:
% 1.93/2.30 X := X
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 resolution: (17325) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( rhoold_init
% 1.93/2.30 , skol15 ), ! leq( skol15, n4 ) }.
% 1.93/2.30 parent0[1]: (17324) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( rhoold_init
% 1.93/2.30 , X ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.93/2.30 parent1[0]: (180) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.93/2.30 substitution0:
% 1.93/2.30 X := skol15
% 1.93/2.30 end
% 1.93/2.30 substitution1:
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 resolution: (17326) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( rhoold_init
% 1.93/2.30 , skol15 ) }.
% 1.93/2.30 parent0[1]: (17325) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( rhoold_init
% 1.93/2.30 , skol15 ), ! leq( skol15, n4 ) }.
% 1.93/2.30 parent1[0]: (181) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 substitution1:
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 eqswap: (17327) {G1,W5,D3,L1,V0,M1} { a_select2( rhoold_init, skol15 ) ==>
% 1.93/2.30 init }.
% 1.93/2.30 parent0[0]: (17326) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( rhoold_init
% 1.93/2.30 , skol15 ) }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 subsumption: (14242) {G2,W5,D3,L1,V0,M1} R(178,180);r(181) { a_select2(
% 1.93/2.30 rhoold_init, skol15 ) ==> init }.
% 1.93/2.30 parent0: (17327) {G1,W5,D3,L1,V0,M1} { a_select2( rhoold_init, skol15 )
% 1.93/2.30 ==> init }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 permutation0:
% 1.93/2.30 0 ==> 0
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 paramod: (17330) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.93/2.30 parent0[0]: (14242) {G2,W5,D3,L1,V0,M1} R(178,180);r(181) { a_select2(
% 1.93/2.30 rhoold_init, skol15 ) ==> init }.
% 1.93/2.30 parent1[0; 2]: (182) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rhoold_init,
% 1.93/2.30 skol15 ) ==> init }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 substitution1:
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 eqrefl: (17331) {G0,W0,D0,L0,V0,M0} { }.
% 1.93/2.30 parent0[0]: (17330) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 subsumption: (14403) {G3,W0,D0,L0,V0,M0} S(182);d(14242);q { }.
% 1.93/2.30 parent0: (17331) {G0,W0,D0,L0,V0,M0} { }.
% 1.93/2.30 substitution0:
% 1.93/2.30 end
% 1.93/2.30 permutation0:
% 1.93/2.30 end
% 1.93/2.30
% 1.93/2.30 Proof check complete!
% 1.93/2.30
% 1.93/2.30 Memory use:
% 1.93/2.30
% 1.93/2.30 space for terms: 346875
% 1.93/2.30 space for clauses: 641407
% 1.93/2.30
% 1.93/2.30
% 1.93/2.30 clauses generated: 48913
% 1.93/2.30 clauses kept: 14404
% 1.93/2.30 clauses selected: 873
% 1.93/2.30 clauses deleted: 15
% 1.93/2.30 clauses inuse deleted: 12
% 1.93/2.30
% 1.93/2.30 subsentry: 173141
% 1.93/2.30 literals s-matched: 67705
% 1.93/2.30 literals matched: 55895
% 1.93/2.30 full subsumption: 39757
% 1.93/2.30
% 1.93/2.30 checksum: 476579526
% 1.93/2.30
% 1.93/2.30
% 1.93/2.30 Bliksem ended
%------------------------------------------------------------------------------