%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV166+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 16:22:47 EDT 2022
% Result : Theorem 1.75s 2.15s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV166+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 20:34:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.73/1.12 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.73/1.12 { ! gt( X, X ) }.
% 0.73/1.12 { leq( X, X ) }.
% 0.73/1.12 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.73/1.12 { ! lt( X, Y ), gt( Y, X ) }.
% 0.73/1.12 { ! gt( Y, X ), lt( X, Y ) }.
% 0.73/1.12 { ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.12 { ! gt( Y, X ), leq( X, Y ) }.
% 0.73/1.12 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.73/1.12 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.73/1.12 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.73/1.12 { gt( succ( X ), X ) }.
% 0.73/1.12 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.73/1.12 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.73/1.12 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.73/1.12 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.73/1.12 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.73/1.12 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.73/1.12 T ), X ) = T }.
% 0.73/1.12 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.73/1.12 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.73/1.12 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.73/1.12 a_select3( trans( X ), T, Z ) }.
% 0.73/1.12 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.73/1.12 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.12 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.73/1.12 ) }.
% 0.73/1.12 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.73/1.12 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.73/1.12 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.73/1.12 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.73/1.12 a_select3( inv( X ), T, Z ) }.
% 0.73/1.12 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.73/1.12 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.12 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.73/1.12 .
% 0.73/1.12 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.73/1.12 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.73/1.12 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.73/1.12 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.12 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.73/1.12 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.73/1.12 X, U, U, W ), T, Z ) }.
% 0.73/1.12 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.73/1.12 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.12 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.73/1.12 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.73/1.12 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.73/1.12 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.73/1.12 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.73/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.73/1.12 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.73/1.12 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.73/1.12 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.73/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.73/1.12 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.12 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.73/1.12 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.73/1.12 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.73/1.12 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.73/1.12 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.73/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.73/1.12 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.73/1.12 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.73/1.12 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.73/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.73/1.12 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.73/1.12 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.73/1.12 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.73/1.12 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.73/1.12 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.73/1.12 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.73/1.12 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.73/1.12 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.73/1.12 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.73/1.12 U ) ) ), T, Z ) }.
% 0.73/1.12 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.73/1.12 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.12 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.73/1.12 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.73/1.12 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.73/1.12 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.73/1.12 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.73/1.12 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.73/1.12 W ) ) ), T, Z ) }.
% 0.73/1.12 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.73/1.12 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.73/1.12 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.73/1.12 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.73/1.12 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.73/1.12 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.73/1.12 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.73/1.12 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.73/1.12 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.73/1.12 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.73/1.12 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.73/1.12 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.73/1.12 ) }.
% 0.73/1.12 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.73/1.12 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.73/1.12 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.73/1.12 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.73/1.12 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.73/1.12 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.73/1.12 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.73/1.12 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.73/1.12 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.73/1.12 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.73/1.12 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.73/1.12 alpha19( X, Y ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.73/1.12 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.73/1.12 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.73/1.12 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.73/1.12 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.73/1.12 ), alpha8( X ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.12 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.73/1.12 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.73/1.12 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.73/1.12 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.73/1.12 { succ( tptp_minus_1 ) = n0 }.
% 0.73/1.12 { plus( X, n1 ) = succ( X ) }.
% 0.73/1.12 { plus( n1, X ) = succ( X ) }.
% 0.73/1.12 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.73/1.12 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.73/1.12 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.73/1.12 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.73/1.12 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.73/1.12 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.73/1.12 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.73/1.12 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.73/1.12 { minus( X, n1 ) = pred( X ) }.
% 0.73/1.12 { pred( succ( X ) ) = X }.
% 0.73/1.12 { succ( pred( X ) ) = X }.
% 0.73/1.12 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.73/1.12 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.73/1.12 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.73/1.12 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.73/1.12 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.73/1.12 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.73/1.12 , Y, V0 ), Z, T ) = W }.
% 0.73/1.12 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.73/1.12 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.73/1.12 }.
% 0.73/1.12 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.73/1.12 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.73/1.12 U, Z, T, W ), X, Y ) = W }.
% 0.73/1.12 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.73/1.12 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.73/1.12 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.73/1.12 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.73/1.12 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.73/1.12 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.73/1.12 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.73/1.12 T }.
% 0.73/1.12 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.73/1.12 tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.12 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.73/1.12 tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.12 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.73/1.12 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.12 { true }.
% 0.73/1.12 { ! def = use }.
% 0.73/1.12 { ! n0 = pv90 }.
% 0.73/1.12 { leq( n0, pv40 ) }.
% 0.73/1.12 { leq( pv40, n4 ) }.
% 0.73/1.12 { gt( loopcounter, n1 ) }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.73/1.12 a_select3( q_init, X, Y ) = init }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( mu_init, X ) = init
% 0.73/1.12 }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( sigma_init, X ) =
% 0.73/1.12 init }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.73/1.12 .
% 0.73/1.12 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.73/1.12 muold_init, X ) = init }.
% 0.73/1.12 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.73/1.12 rhoold_init, X ) = init }.
% 0.73/1.12 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.73/1.12 sigmaold_init, X ) = init }.
% 0.73/1.12 { leq( n0, skol15 ) }.
% 0.73/1.12 { leq( skol15, n4 ) }.
% 0.73/1.12 { ! a_select2( rhoold_init, skol15 ) = init }.
% 0.73/1.12 { gt( n5, n4 ) }.
% 0.73/1.12 { gt( n135299, n4 ) }.
% 0.73/1.12 { gt( n135299, n5 ) }.
% 0.73/1.12 { gt( n4, tptp_minus_1 ) }.
% 0.73/1.12 { gt( n5, tptp_minus_1 ) }.
% 0.73/1.12 { gt( n135299, tptp_minus_1 ) }.
% 0.73/1.12 { gt( n0, tptp_minus_1 ) }.
% 0.73/1.12 { gt( n1, tptp_minus_1 ) }.
% 0.73/1.12 { gt( n2, tptp_minus_1 ) }.
% 0.73/1.12 { gt( n3, tptp_minus_1 ) }.
% 0.73/1.12 { gt( n4, n0 ) }.
% 0.73/1.12 { gt( n5, n0 ) }.
% 0.73/1.12 { gt( n135299, n0 ) }.
% 0.73/1.12 { gt( n1, n0 ) }.
% 0.73/1.12 { gt( n2, n0 ) }.
% 0.73/1.12 { gt( n3, n0 ) }.
% 0.73/1.12 { gt( n4, n1 ) }.
% 0.73/1.12 { gt( n5, n1 ) }.
% 0.73/1.12 { gt( n135299, n1 ) }.
% 0.73/1.12 { gt( n2, n1 ) }.
% 0.73/1.12 { gt( n3, n1 ) }.
% 0.73/1.12 { gt( n4, n2 ) }.
% 0.73/1.12 { gt( n5, n2 ) }.
% 0.73/1.12 { gt( n135299, n2 ) }.
% 0.73/1.12 { gt( n3, n2 ) }.
% 0.73/1.12 { gt( n4, n3 ) }.
% 0.73/1.12 { gt( n5, n3 ) }.
% 0.73/1.12 { gt( n135299, n3 ) }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.73/1.12 .
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.73/1.12 = n5 }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.73/1.12 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.73/1.12 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.73/1.12 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.73/1.12 { succ( n0 ) = n1 }.
% 0.73/1.12 { succ( succ( n0 ) ) = n2 }.
% 0.73/1.12 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.73/1.12
% 0.73/1.12 percentage equality = 0.186620, percentage horn = 0.875556
% 0.73/1.12 This is a problem with some equality
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Options Used:
% 0.73/1.12
% 0.73/1.12 useres = 1
% 0.73/1.12 useparamod = 1
% 0.73/1.12 useeqrefl = 1
% 0.73/1.12 useeqfact = 1
% 0.73/1.12 usefactor = 1
% 0.73/1.12 usesimpsplitting = 0
% 0.73/1.12 usesimpdemod = 5
% 0.73/1.12 usesimpres = 3
% 0.73/1.12
% 0.73/1.12 resimpinuse = 1000
% 0.73/1.12 resimpclauses = 20000
% 0.73/1.12 substype = eqrewr
% 0.73/1.12 backwardsubs = 1
% 0.73/1.12 selectoldest = 5
% 0.73/1.12
% 0.73/1.12 litorderings [0] = split
% 0.73/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.12
% 0.73/1.12 termordering = kbo
% 0.73/1.12
% 0.73/1.12 litapriori = 0
% 0.73/1.12 termapriori = 1
% 0.73/1.12 litaposteriori = 0
% 0.73/1.12 termaposteriori = 0
% 0.73/1.12 demodaposteriori = 0
% 0.73/1.12 ordereqreflfact = 0
% 0.73/1.12
% 0.73/1.12 litselect = negord
% 0.73/1.12
% 0.73/1.12 maxweight = 15
% 0.73/1.12 maxdepth = 30000
% 0.73/1.12 maxlength = 115
% 0.73/1.12 maxnrvars = 195
% 0.73/1.12 excuselevel = 1
% 0.73/1.12 increasemaxweight = 1
% 0.73/1.12
% 0.73/1.12 maxselected = 10000000
% 0.73/1.12 maxnrclauses = 10000000
% 0.73/1.12
% 0.73/1.12 showgenerated = 0
% 0.73/1.12 showkept = 0
% 0.73/1.12 showselected = 0
% 0.73/1.12 showdeleted = 0
% 0.73/1.12 showresimp = 1
% 0.73/1.12 showstatus = 2000
% 0.73/1.12
% 0.73/1.12 prologoutput = 0
% 0.73/1.12 nrgoals = 5000000
% 0.73/1.12 totalproof = 1
% 0.73/1.12
% 0.73/1.12 Symbols occurring in the translation:
% 0.73/1.12
% 0.73/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.12 . [1, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.73/1.12 ! [4, 1] (w:0, o:60, a:1, s:1, b:0),
% 0.73/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.75/2.14 gt [37, 2] (w:1, o:95, a:1, s:1, b:0),
% 1.75/2.14 leq [39, 2] (w:1, o:96, a:1, s:1, b:0),
% 1.75/2.14 lt [40, 2] (w:1, o:97, a:1, s:1, b:0),
% 1.75/2.14 geq [41, 2] (w:1, o:98, a:1, s:1, b:0),
% 1.75/2.14 pred [42, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.75/2.14 succ [43, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.75/2.14 n0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.75/2.14 uniform_int_rnd [46, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.75/2.14 dim [51, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.75/2.14 tptp_const_array1 [52, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.75/2.14 a_select2 [53, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.75/2.14 tptp_const_array2 [59, 3] (w:1, o:150, a:1, s:1, b:0),
% 1.75/2.14 a_select3 [60, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.75/2.14 trans [63, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.75/2.14 inv [64, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.75/2.14 tptp_update3 [67, 4] (w:1, o:168, a:1, s:1, b:0),
% 1.75/2.14 tptp_madd [69, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.75/2.14 tptp_msub [70, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.75/2.14 tptp_mmul [71, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.75/2.14 tptp_minus_1 [77, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.75/2.14 sum [78, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.75/2.14 tptp_float_0_0 [79, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.75/2.14 n1 [80, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.75/2.14 plus [81, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.75/2.14 n2 [82, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.75/2.14 n3 [83, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.75/2.14 n4 [84, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.75/2.14 n5 [85, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.75/2.14 minus [86, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.75/2.14 tptp_update2 [91, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.75/2.14 true [92, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.75/2.14 def [93, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.75/2.14 use [94, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.75/2.14 pv90 [95, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.75/2.14 pv40 [96, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.75/2.14 loopcounter [97, 0] (w:1, o:55, a:1, s:1, b:0),
% 1.75/2.14 n135299 [98, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.75/2.14 q_init [99, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.75/2.14 init [100, 0] (w:1, o:57, a:1, s:1, b:0),
% 1.75/2.14 rho_init [101, 0] (w:1, o:58, a:1, s:1, b:0),
% 1.75/2.14 mu_init [102, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.75/2.14 sigma_init [103, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.75/2.14 center_init [104, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.75/2.14 muold_init [106, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.75/2.14 rhoold_init [108, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.75/2.14 sigmaold_init [109, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.75/2.14 alpha1 [110, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.75/2.14 alpha2 [111, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.75/2.14 alpha3 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.75/2.14 alpha4 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.75/2.14 alpha5 [114, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.75/2.14 alpha6 [115, 2] (w:1, o:145, a:1, s:1, b:1),
% 1.75/2.14 alpha7 [116, 2] (w:1, o:146, a:1, s:1, b:1),
% 1.75/2.14 alpha8 [117, 1] (w:1, o:70, a:1, s:1, b:1),
% 1.75/2.14 alpha9 [118, 2] (w:1, o:147, a:1, s:1, b:1),
% 1.75/2.14 alpha10 [119, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.75/2.14 alpha11 [120, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.75/2.14 alpha12 [121, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.75/2.14 alpha13 [122, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.75/2.14 alpha14 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.75/2.14 alpha15 [124, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.75/2.14 alpha16 [125, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.75/2.14 alpha17 [126, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.75/2.14 alpha18 [127, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.75/2.14 alpha19 [128, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.75/2.14 alpha20 [129, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.75/2.14 alpha21 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.75/2.14 alpha22 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.75/2.14 alpha23 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.75/2.14 alpha24 [133, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.75/2.14 alpha25 [134, 3] (w:1, o:162, a:1, s:1, b:1),
% 1.75/2.14 alpha26 [135, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.75/2.14 alpha27 [136, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.75/2.14 alpha28 [137, 3] (w:1, o:163, a:1, s:1, b:1),
% 1.75/2.14 alpha29 [138, 3] (w:1, o:164, a:1, s:1, b:1),
% 1.75/2.14 alpha30 [139, 3] (w:1, o:165, a:1, s:1, b:1),
% 1.75/2.14 skol1 [140, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.75/2.14 skol2 [141, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.75/2.14 skol3 [142, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.75/2.15 skol4 [143, 2] (w:1, o:117, a:1, s:1, b:1),
% 1.75/2.15 skol5 [144, 2] (w:1, o:118, a:1, s:1, b:1),
% 1.75/2.15 skol6 [145, 2] (w:1, o:119, a:1, s:1, b:1),
% 1.75/2.15 skol7 [146, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.75/2.15 skol8 [147, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.75/2.15 skol9 [148, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.75/2.15 skol10 [149, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.75/2.15 skol11 [150, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.75/2.15 skol12 [151, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.75/2.15 skol13 [152, 4] (w:1, o:166, a:1, s:1, b:1),
% 1.75/2.15 skol14 [153, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.75/2.15 skol15 [154, 0] (w:1, o:38, a:1, s:1, b:1),
% 1.75/2.15 skol16 [155, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.75/2.15 skol17 [156, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.75/2.15 skol18 [157, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.75/2.15 skol19 [158, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.75/2.15 skol20 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.75/2.15 skol21 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.75/2.15 skol22 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.75/2.15 skol23 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.75/2.15 skol24 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.75/2.15 skol25 [164, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.75/2.15 skol26 [165, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.75/2.15 skol27 [166, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.75/2.15 skol28 [167, 4] (w:1, o:167, a:1, s:1, b:1),
% 1.75/2.15 skol29 [168, 1] (w:1, o:67, a:1, s:1, b:1).
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Starting Search:
% 1.75/2.15
% 1.75/2.15 *** allocated 15000 integers for clauses
% 1.75/2.15 *** allocated 22500 integers for clauses
% 1.75/2.15 *** allocated 33750 integers for clauses
% 1.75/2.15 *** allocated 22500 integers for termspace/termends
% 1.75/2.15 *** allocated 50625 integers for clauses
% 1.75/2.15 *** allocated 75937 integers for clauses
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 *** allocated 33750 integers for termspace/termends
% 1.75/2.15 *** allocated 113905 integers for clauses
% 1.75/2.15 *** allocated 50625 integers for termspace/termends
% 1.75/2.15
% 1.75/2.15 Intermediate Status:
% 1.75/2.15 Generated: 7966
% 1.75/2.15 Kept: 2046
% 1.75/2.15 Inuse: 171
% 1.75/2.15 Deleted: 0
% 1.75/2.15 Deletedinuse: 0
% 1.75/2.15
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 *** allocated 170857 integers for clauses
% 1.75/2.15 *** allocated 75937 integers for termspace/termends
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 *** allocated 256285 integers for clauses
% 1.75/2.15 *** allocated 113905 integers for termspace/termends
% 1.75/2.15
% 1.75/2.15 Intermediate Status:
% 1.75/2.15 Generated: 16047
% 1.75/2.15 Kept: 4046
% 1.75/2.15 Inuse: 326
% 1.75/2.15 Deleted: 0
% 1.75/2.15 Deletedinuse: 0
% 1.75/2.15
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 *** allocated 170857 integers for termspace/termends
% 1.75/2.15 *** allocated 384427 integers for clauses
% 1.75/2.15
% 1.75/2.15 Intermediate Status:
% 1.75/2.15 Generated: 23454
% 1.75/2.15 Kept: 6120
% 1.75/2.15 Inuse: 461
% 1.75/2.15 Deleted: 0
% 1.75/2.15 Deletedinuse: 0
% 1.75/2.15
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 *** allocated 256285 integers for termspace/termends
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Intermediate Status:
% 1.75/2.15 Generated: 31537
% 1.75/2.15 Kept: 8239
% 1.75/2.15 Inuse: 556
% 1.75/2.15 Deleted: 0
% 1.75/2.15 Deletedinuse: 0
% 1.75/2.15
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 *** allocated 576640 integers for clauses
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Intermediate Status:
% 1.75/2.15 Generated: 36809
% 1.75/2.15 Kept: 10333
% 1.75/2.15 Inuse: 736
% 1.75/2.15 Deleted: 0
% 1.75/2.15 Deletedinuse: 0
% 1.75/2.15
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 *** allocated 384427 integers for termspace/termends
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Intermediate Status:
% 1.75/2.15 Generated: 44734
% 1.75/2.15 Kept: 12424
% 1.75/2.15 Inuse: 805
% 1.75/2.15 Deleted: 13
% 1.75/2.15 Deletedinuse: 12
% 1.75/2.15
% 1.75/2.15 *** allocated 864960 integers for clauses
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15 Resimplifying inuse:
% 1.75/2.15 Done
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Intermediate Status:
% 1.75/2.15 Generated: 48987
% 1.75/2.15 Kept: 14471
% 1.75/2.15 Inuse: 869
% 1.75/2.15 Deleted: 14
% 1.75/2.15 Deletedinuse: 12
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Bliksems!, er is een bewijs:
% 1.75/2.15 % SZS status Theorem
% 1.75/2.15 % SZS output start Refutation
% 1.75/2.15
% 1.75/2.15 (174) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.75/2.15 (181) {G1,W11,D3,L3,V1,M3} I;r(174) { ! leq( n0, X ), ! leq( X, n4 ),
% 1.75/2.15 a_select2( rhoold_init, X ) ==> init }.
% 1.75/2.15 (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.75/2.15 (184) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.75/2.15 (185) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rhoold_init, skol15 ) ==> init
% 1.75/2.15 }.
% 1.75/2.15 (14309) {G2,W5,D3,L1,V0,M1} R(181,183);r(184) { a_select2( rhoold_init,
% 1.75/2.15 skol15 ) ==> init }.
% 1.75/2.15 (14471) {G3,W0,D0,L0,V0,M0} S(185);d(14309);q { }.
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 % SZS output end Refutation
% 1.75/2.15 found a proof!
% 1.75/2.15
% 1.75/2.15
% 1.75/2.15 Unprocessed initial clauses:
% 1.75/2.15
% 1.75/2.15 (14473) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.75/2.15 (14474) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.75/2.15 (14475) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.75/2.15 (14476) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.75/2.15 (14477) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.75/2.15 }.
% 1.75/2.15 (14478) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.75/2.15 (14479) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.75/2.15 (14480) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14481) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.75/2.15 (14482) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.75/2.15 (14483) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.75/2.15 (14484) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.75/2.15 (14485) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.75/2.15 (14486) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.75/2.15 (14487) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.75/2.15 (14488) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.75/2.15 (14489) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.75/2.15 (14490) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.75/2.15 , X ) }.
% 1.75/2.15 (14491) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.75/2.15 , X ) ) }.
% 1.75/2.15 (14492) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.75/2.15 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.75/2.15 (14493) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.75/2.15 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.75/2.15 V0 ), X, T ) = V0 }.
% 1.75/2.15 (14494) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.75/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.75/2.15 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.75/2.15 (14495) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.75/2.15 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.75/2.15 = a_select3( trans( X ), T, Z ) }.
% 1.75/2.15 (14496) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.75/2.15 (14497) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14498) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14499) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha10( X, Y, Z ) }.
% 1.75/2.15 (14500) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14501) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14502) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14503) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.75/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.75/2.15 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.75/2.15 (14504) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.75/2.15 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.75/2.15 a_select3( inv( X ), T, Z ) }.
% 1.75/2.15 (14505) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.75/2.15 (14506) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14507) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14508) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha11( X, Y, Z ) }.
% 1.75/2.15 (14509) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14510) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14511) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14512) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.75/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.75/2.15 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.75/2.15 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.75/2.15 (14513) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.75/2.15 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.75/2.15 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.75/2.15 ( X, U, U, W ), T, Z ) }.
% 1.75/2.15 (14514) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.75/2.15 (14515) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14516) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14517) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha12( X, Y, Z ) }.
% 1.75/2.15 (14518) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14519) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14520) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14521) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.75/2.15 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.75/2.15 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.75/2.15 ), U, T ) }.
% 1.75/2.15 (14522) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.75/2.15 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.75/2.15 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.75/2.15 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.75/2.15 (14523) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.75/2.15 (14524) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14525) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14526) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha22( X, Y, Z ) }.
% 1.75/2.15 (14527) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14528) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14529) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14530) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.75/2.15 , skol20( X, Y ) ) }.
% 1.75/2.15 (14531) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.75/2.15 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.75/2.15 }.
% 1.75/2.15 (14532) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.75/2.15 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.75/2.15 (14533) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.75/2.15 (14534) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14535) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14536) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha23( X, Y, Z ) }.
% 1.75/2.15 (14537) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14538) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14539) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14540) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.75/2.15 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.75/2.15 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.75/2.15 ), U, T ) }.
% 1.75/2.15 (14541) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.75/2.15 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.75/2.15 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.75/2.15 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.75/2.15 (14542) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.75/2.15 (14543) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14544) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14545) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha24( X, Y, Z ) }.
% 1.75/2.15 (14546) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14547) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14548) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14549) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.75/2.15 , skol22( X, Y ) ) }.
% 1.75/2.15 (14550) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.75/2.15 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.75/2.15 }.
% 1.75/2.15 (14551) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.75/2.15 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.75/2.15 (14552) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.75/2.15 (14553) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14554) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14555) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha25( X, Y, Z ) }.
% 1.75/2.15 (14556) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14557) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14558) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14559) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.75/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.75/2.15 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.75/2.15 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.75/2.15 (14560) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.75/2.15 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.75/2.15 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.75/2.15 ( X, trans( U ) ) ), T, Z ) }.
% 1.75/2.15 (14561) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.75/2.15 (14562) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14563) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14564) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha17( X, Y, Z ) }.
% 1.75/2.15 (14565) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14566) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14567) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14568) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.75/2.15 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.75/2.15 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.75/2.15 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.75/2.15 (14569) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.75/2.15 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.15 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.75/2.15 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.75/2.15 ( X, trans( W ) ) ), T, Z ) }.
% 1.75/2.15 (14570) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.75/2.15 (14571) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14572) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14573) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha18( X, Y, Z ) }.
% 1.75/2.15 (14574) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14575) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14576) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14577) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.75/2.15 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.75/2.15 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.75/2.15 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.75/2.15 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.75/2.15 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.75/2.15 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.75/2.15 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.75/2.15 (14578) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.75/2.15 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.75/2.15 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.75/2.15 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.75/2.15 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.75/2.15 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.75/2.15 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.75/2.15 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.75/2.15 ) ), W, U ) }.
% 1.75/2.15 (14579) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.75/2.15 (14580) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14581) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14582) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha29( X, Y, Z ) }.
% 1.75/2.15 (14583) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14584) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14585) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14586) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.75/2.15 ), skol26( X, Y ) ) }.
% 1.75/2.15 (14587) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.75/2.15 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.75/2.15 }.
% 1.75/2.15 (14588) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.75/2.15 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.75/2.15 (14589) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.75/2.15 (14590) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14591) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14592) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha30( X, Y, Z ) }.
% 1.75/2.15 (14593) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14594) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14595) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14596) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.75/2.15 skol27( X, Y ) ) }.
% 1.75/2.15 (14597) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.75/2.15 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.75/2.15 (14598) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.75/2.15 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.75/2.15 (14599) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.75/2.15 (14600) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.15 (14601) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.15 (14602) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.15 , X ), alpha28( X, Y, Z ) }.
% 1.75/2.15 (14603) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14604) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.75/2.15 (14605) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14606) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.75/2.15 (14607) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.75/2.15 }.
% 1.75/2.15 (14608) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.75/2.15 (14609) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.75/2.15 (14610) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.75/2.15 (14611) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.75/2.15 (14612) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.75/2.15 (14613) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.75/2.15 }.
% 1.75/2.15 (14614) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.75/2.15 }.
% 1.75/2.15 (14615) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.75/2.15 ) ) ) }.
% 1.75/2.15 (14616) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.75/2.15 ) ) ) }.
% 1.75/2.15 (14617) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.75/2.15 succ( X ) ) ) ) ) }.
% 1.75/2.15 (14618) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.75/2.15 succ( X ) ) ) ) ) }.
% 1.75/2.15 (14619) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.75/2.15 (14620) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.75/2.15 (14621) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.75/2.15 (14622) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.75/2.15 }.
% 1.75/2.15 (14623) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.75/2.15 }.
% 1.75/2.15 (14624) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.75/2.15 (14625) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.75/2.15 (14626) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.75/2.15 ) = T }.
% 1.75/2.15 (14627) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.75/2.15 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.75/2.15 (14628) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.75/2.15 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.75/2.15 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.75/2.15 (14629) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.75/2.15 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.75/2.15 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.75/2.15 (14630) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.75/2.15 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.75/2.15 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.75/2.15 (14631) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.75/2.15 (14632) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.75/2.15 (14633) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.75/2.15 , Y, Z ) }.
% 1.75/2.15 (14634) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.75/2.15 (14635) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.75/2.15 (14636) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.75/2.15 ) }.
% 1.75/2.15 (14637) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.75/2.15 }.
% 1.75/2.15 (14638) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.75/2.15 tptp_update2( Z, X, U ), Y ) = T }.
% 1.75/2.15 (14639) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.75/2.15 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.75/2.15 (14640) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.75/2.15 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.75/2.15 (14641) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.75/2.15 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.75/2.15 }.
% 1.75/2.15 (14642) {G0,W1,D1,L1,V0,M1} { true }.
% 1.75/2.15 (14643) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.75/2.15 (14644) {G0,W3,D2,L1,V0,M1} { ! n0 = pv90 }.
% 1.75/2.15 (14645) {G0,W3,D2,L1,V0,M1} { leq( n0, pv40 ) }.
% 1.75/2.15 (14646) {G0,W3,D2,L1,V0,M1} { leq( pv40, n4 ) }.
% 1.75/2.15 (14647) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.75/2.15 (14648) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 1.75/2.15 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 1.75/2.15 (14649) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.75/2.15 rho_init, X ) = init }.
% 1.75/2.15 (14650) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv40 ) ),
% 1.75/2.15 a_select2( mu_init, X ) = init }.
% 1.75/2.15 (14651) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv40 ) ),
% 1.75/2.15 a_select2( sigma_init, X ) = init }.
% 1.75/2.15 (14652) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 1.75/2.15 center_init, X, n0 ) = init }.
% 1.75/2.15 (14653) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.75/2.15 leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 1.75/2.15 (14654) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.75/2.15 leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 1.75/2.15 (14655) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.75/2.15 leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 1.75/2.15 (14656) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.75/2.15 (14657) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.75/2.15 (14658) {G0,W5,D3,L1,V0,M1} { ! a_select2( rhoold_init, skol15 ) = init
% 1.75/2.15 }.
% 1.75/2.15 (14659) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.75/2.15 (14660) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.75/2.15 (14661) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.75/2.15 (14662) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.75/2.15 (14663) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.75/2.15 (14664) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.75/2.15 (14665) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.75/2.15 (14666) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.75/2.15 (14667) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.75/2.15 (14668) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.75/2.15 (14669) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.75/2.15 (14670) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.75/2.15 (14671) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.75/2.15 (14672) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.75/2.15 (14673) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.75/2.15 (14674) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.75/2.15 (14675) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.75/2.15 (14676) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.75/2.15 (14677) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.75/2.15 (14678) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.75/2.15 (14679) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.75/2.15 (14680) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.75/2.15 (14681) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.75/2.15 (14682) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.75/2.15 (14683) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.75/2.15 (14684) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.75/2.16 (14685) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.75/2.16 (14686) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.75/2.16 (14687) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.75/2.16 n1, X = n2, X = n3, X = n4 }.
% 1.75/2.16 (14688) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.75/2.16 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.75/2.16 (14689) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.75/2.16 (14690) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.75/2.16 n1 }.
% 1.75/2.16 (14691) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.75/2.16 n1, X = n2 }.
% 1.75/2.16 (14692) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.75/2.16 n1, X = n2, X = n3 }.
% 1.75/2.16 (14693) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.75/2.16 (14694) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.75/2.16 n5 }.
% 1.75/2.16 (14695) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.75/2.16 (14696) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.75/2.16 (14697) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.75/2.16
% 1.75/2.16
% 1.75/2.16 Total Proof:
% 1.75/2.16
% 1.75/2.16 subsumption: (174) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.75/2.16 parent0: (14647) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.75/2.16 substitution0:
% 1.75/2.16 end
% 1.75/2.16 permutation0:
% 1.75/2.16 0 ==> 0
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 *** allocated 576640 integers for termspace/termends
% 1.75/2.16 resolution: (15771) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 )
% 1.75/2.16 , a_select2( rhoold_init, X ) = init }.
% 1.75/2.16 parent0[0]: (14654) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq
% 1.75/2.16 ( n0, X ), ! leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 1.75/2.16 parent1[0]: (174) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.75/2.16 substitution0:
% 1.75/2.16 X := X
% 1.75/2.16 end
% 1.75/2.16 substitution1:
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 subsumption: (181) {G1,W11,D3,L3,V1,M3} I;r(174) { ! leq( n0, X ), ! leq( X
% 1.75/2.16 , n4 ), a_select2( rhoold_init, X ) ==> init }.
% 1.75/2.16 parent0: (15771) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ),
% 1.75/2.16 a_select2( rhoold_init, X ) = init }.
% 1.75/2.16 substitution0:
% 1.75/2.16 X := X
% 1.75/2.16 end
% 1.75/2.16 permutation0:
% 1.75/2.16 0 ==> 0
% 1.75/2.16 1 ==> 1
% 1.75/2.16 2 ==> 2
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 subsumption: (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.75/2.16 parent0: (14656) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.75/2.16 substitution0:
% 1.75/2.16 end
% 1.75/2.16 permutation0:
% 1.75/2.16 0 ==> 0
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 subsumption: (184) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.75/2.16 parent0: (14657) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.75/2.16 substitution0:
% 1.75/2.16 end
% 1.75/2.16 permutation0:
% 1.75/2.16 0 ==> 0
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 subsumption: (185) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rhoold_init, skol15
% 1.75/2.16 ) ==> init }.
% 1.75/2.16 parent0: (14658) {G0,W5,D3,L1,V0,M1} { ! a_select2( rhoold_init, skol15 )
% 1.75/2.16 = init }.
% 1.75/2.16 substitution0:
% 1.75/2.16 end
% 1.75/2.16 permutation0:
% 1.75/2.16 0 ==> 0
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 eqswap: (17400) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( rhoold_init, X
% 1.75/2.16 ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.75/2.16 parent0[2]: (181) {G1,W11,D3,L3,V1,M3} I;r(174) { ! leq( n0, X ), ! leq( X
% 1.75/2.16 , n4 ), a_select2( rhoold_init, X ) ==> init }.
% 1.75/2.16 substitution0:
% 1.75/2.16 X := X
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 resolution: (17401) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( rhoold_init
% 1.75/2.16 , skol15 ), ! leq( skol15, n4 ) }.
% 1.75/2.16 parent0[1]: (17400) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( rhoold_init
% 1.75/2.16 , X ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.75/2.16 parent1[0]: (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.75/2.16 substitution0:
% 1.75/2.16 X := skol15
% 1.75/2.16 end
% 1.75/2.16 substitution1:
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 resolution: (17402) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( rhoold_init
% 1.75/2.16 , skol15 ) }.
% 1.75/2.16 parent0[1]: (17401) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( rhoold_init
% 1.75/2.16 , skol15 ), ! leq( skol15, n4 ) }.
% 1.75/2.16 parent1[0]: (184) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.75/2.16 substitution0:
% 1.75/2.16 end
% 1.75/2.16 substitution1:
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 eqswap: (17403) {G1,W5,D3,L1,V0,M1} { a_select2( rhoold_init, skol15 ) ==>
% 1.75/2.16 init }.
% 1.75/2.16 parent0[0]: (17402) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( rhoold_init
% 1.75/2.16 , skol15 ) }.
% 1.75/2.16 substitution0:
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 subsumption: (14309) {G2,W5,D3,L1,V0,M1} R(181,183);r(184) { a_select2(
% 1.75/2.16 rhoold_init, skol15 ) ==> init }.
% 1.75/2.16 parent0: (17403) {G1,W5,D3,L1,V0,M1} { a_select2( rhoold_init, skol15 )
% 1.75/2.16 ==> init }.
% 1.75/2.16 substitution0:
% 1.75/2.16 end
% 1.75/2.16 permutation0:
% 1.75/2.16 0 ==> 0
% 1.75/2.16 end
% 1.75/2.16
% 1.75/2.16 paramod: (17406) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.75/2.16 parent0[0]: (14309) {G2,W5,D3,L1,V0,M1} R(181,183);r(184) { a_select2(
% 1.75/2.16 rhoold_init, skol15 ) ==> init }.
% 1.75/2.17 parent1[0; 2]: (185) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rhoold_init,
% 1.75/2.17 skol15 ) ==> init }.
% 1.75/2.17 substitution0:
% 1.75/2.17 end
% 1.75/2.17 substitution1:
% 1.75/2.17 end
% 1.75/2.17
% 1.75/2.17 eqrefl: (17407) {G0,W0,D0,L0,V0,M0} { }.
% 1.75/2.17 parent0[0]: (17406) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.75/2.17 substitution0:
% 1.75/2.17 end
% 1.75/2.17
% 1.75/2.17 subsumption: (14471) {G3,W0,D0,L0,V0,M0} S(185);d(14309);q { }.
% 1.75/2.17 parent0: (17407) {G0,W0,D0,L0,V0,M0} { }.
% 1.75/2.17 substitution0:
% 1.75/2.17 end
% 1.75/2.17 permutation0:
% 1.75/2.17 end
% 1.75/2.17
% 1.75/2.17 Proof check complete!
% 1.75/2.17
% 1.75/2.17 Memory use:
% 1.75/2.17
% 1.75/2.17 space for terms: 350274
% 1.75/2.17 space for clauses: 645229
% 1.75/2.17
% 1.75/2.17
% 1.75/2.17 clauses generated: 48992
% 1.75/2.17 clauses kept: 14472
% 1.75/2.17 clauses selected: 873
% 1.75/2.17 clauses deleted: 15
% 1.75/2.17 clauses inuse deleted: 12
% 1.75/2.17
% 1.75/2.17 subsentry: 165405
% 1.75/2.17 literals s-matched: 68096
% 1.75/2.17 literals matched: 56221
% 1.75/2.17 full subsumption: 40017
% 1.75/2.17
% 1.75/2.17 checksum: 2065520034
% 1.75/2.17
% 1.75/2.17
% 1.75/2.17 Bliksem ended
%------------------------------------------------------------------------------