%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV175+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:49 EDT 2022
% Result : Theorem 13.30s 13.68s
% Output : Refutation 13.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV175+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 12:00:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.13 *** allocated 10000 integers for termspace/termends
% 0.71/1.13 *** allocated 10000 integers for clauses
% 0.71/1.13 *** allocated 10000 integers for justifications
% 0.71/1.13 Bliksem 1.12
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Automatic Strategy Selection
% 0.71/1.13
% 0.71/1.13 *** allocated 15000 integers for termspace/termends
% 0.71/1.13
% 0.71/1.13 Clauses:
% 0.71/1.13
% 0.71/1.13 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.71/1.13 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.71/1.13 { ! gt( X, X ) }.
% 0.71/1.13 { leq( X, X ) }.
% 0.71/1.13 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.71/1.13 { ! lt( X, Y ), gt( Y, X ) }.
% 0.71/1.13 { ! gt( Y, X ), lt( X, Y ) }.
% 0.71/1.13 { ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.13 { ! gt( Y, X ), leq( X, Y ) }.
% 0.71/1.13 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.71/1.13 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.71/1.13 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.71/1.13 { gt( succ( X ), X ) }.
% 0.71/1.13 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.71/1.13 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.71/1.13 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.71/1.13 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.71/1.13 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.71/1.13 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.71/1.13 T ), X ) = T }.
% 0.71/1.13 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.71/1.13 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.71/1.13 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.71/1.13 a_select3( trans( X ), T, Z ) }.
% 0.71/1.13 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.71/1.13 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.13 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.71/1.13 ) }.
% 0.71/1.13 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.71/1.13 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.71/1.13 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.71/1.13 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.71/1.13 a_select3( inv( X ), T, Z ) }.
% 0.71/1.13 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.71/1.13 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.13 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.71/1.13 .
% 0.71/1.13 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.71/1.13 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.71/1.13 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.71/1.13 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.13 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.71/1.13 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.71/1.13 X, U, U, W ), T, Z ) }.
% 0.71/1.13 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.71/1.13 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.13 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.71/1.13 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.71/1.13 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.71/1.13 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.71/1.13 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.71/1.13 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.71/1.13 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.71/1.13 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.13 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.71/1.13 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.13 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.71/1.13 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.13 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.71/1.13 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.71/1.13 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.13 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.71/1.13 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.71/1.13 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.13 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.71/1.13 ( X, Y ) }.
% 0.71/1.13 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.71/1.13 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.71/1.13 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.71/1.13 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.71/1.13 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.71/1.13 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.13 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.71/1.13 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.13 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.71/1.13 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.13 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.71/1.13 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.71/1.13 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.71/1.13 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.71/1.13 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.71/1.13 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.71/1.13 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.71/1.13 ( X, Y ) }.
% 0.71/1.13 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.71/1.13 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.71/1.13 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.71/1.13 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.71/1.13 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.71/1.13 U ) ) ), T, Z ) }.
% 0.71/1.13 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.71/1.13 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.13 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.71/1.13 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.71/1.13 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.71/1.13 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.71/1.13 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.71/1.13 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.71/1.13 W ) ) ), T, Z ) }.
% 0.71/1.13 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.71/1.13 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.71/1.13 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.71/1.13 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.71/1.13 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.71/1.13 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.71/1.13 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.71/1.13 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.71/1.13 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.71/1.13 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.71/1.13 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.71/1.13 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.71/1.13 ) }.
% 0.71/1.13 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.71/1.13 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.71/1.13 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.71/1.13 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.71/1.13 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.71/1.13 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.71/1.13 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.71/1.13 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.71/1.13 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.71/1.13 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.71/1.13 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.71/1.13 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.71/1.13 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.71/1.13 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.13 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.71/1.13 alpha19( X, Y ) }.
% 0.71/1.13 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.71/1.13 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.71/1.13 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.71/1.13 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.71/1.13 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.71/1.13 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.13 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.71/1.13 ), alpha8( X ) }.
% 0.71/1.13 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.71/1.13 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.71/1.13 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.71/1.13 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.71/1.13 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.71/1.13 { succ( tptp_minus_1 ) = n0 }.
% 0.71/1.13 { plus( X, n1 ) = succ( X ) }.
% 0.71/1.13 { plus( n1, X ) = succ( X ) }.
% 0.71/1.13 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.71/1.13 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.71/1.13 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.13 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.13 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.13 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.13 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.13 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.13 { minus( X, n1 ) = pred( X ) }.
% 0.71/1.13 { pred( succ( X ) ) = X }.
% 0.71/1.13 { succ( pred( X ) ) = X }.
% 0.71/1.13 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.71/1.13 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.71/1.13 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.71/1.13 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.71/1.13 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.71/1.13 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.71/1.13 , Y, V0 ), Z, T ) = W }.
% 0.71/1.13 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.71/1.13 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.71/1.13 }.
% 0.71/1.13 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.71/1.13 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.71/1.13 U, Z, T, W ), X, Y ) = W }.
% 0.71/1.13 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.71/1.13 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.71/1.13 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.71/1.13 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.71/1.13 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.71/1.13 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.71/1.13 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.71/1.13 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.71/1.13 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.71/1.13 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.71/1.13 T }.
% 0.71/1.13 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.13 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.13 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.71/1.13 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.13 { true }.
% 0.71/1.13 { ! def = use }.
% 0.71/1.13 { leq( n0, pv28 ) }.
% 0.71/1.13 { leq( n0, pv30 ) }.
% 0.71/1.13 { leq( pv28, n4 ) }.
% 0.71/1.13 { leq( pv30, n135299 ) }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.71/1.13 a_select3( q_init, X, Y ) = init }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, pred( pv28 ) ), a_select2( rho_init, X ) = init
% 0.71/1.13 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.71/1.13 .
% 0.71/1.13 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.71/1.13 muold_init, X ) = init }.
% 0.71/1.13 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.71/1.13 rhoold_init, X ) = init }.
% 0.71/1.13 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.71/1.13 sigmaold_init, X ) = init }.
% 0.71/1.13 { ! a_select3( q_init, pv30, pv28 ) = init }.
% 0.71/1.13 { gt( n5, n4 ) }.
% 0.71/1.13 { gt( n135299, n4 ) }.
% 0.71/1.13 { gt( n135299, n5 ) }.
% 0.71/1.13 { gt( n4, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n5, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n135299, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n0, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n1, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n2, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n3, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n4, n0 ) }.
% 0.71/1.13 { gt( n5, n0 ) }.
% 0.71/1.13 { gt( n135299, n0 ) }.
% 0.71/1.13 { gt( n1, n0 ) }.
% 0.71/1.13 { gt( n2, n0 ) }.
% 0.71/1.13 { gt( n3, n0 ) }.
% 0.71/1.13 { gt( n4, n1 ) }.
% 0.71/1.13 { gt( n5, n1 ) }.
% 0.71/1.13 { gt( n135299, n1 ) }.
% 0.71/1.13 { gt( n2, n1 ) }.
% 0.71/1.13 { gt( n3, n1 ) }.
% 0.71/1.13 { gt( n4, n2 ) }.
% 0.71/1.13 { gt( n5, n2 ) }.
% 0.71/1.13 { gt( n135299, n2 ) }.
% 0.71/1.13 { gt( n3, n2 ) }.
% 0.71/1.13 { gt( n4, n3 ) }.
% 0.71/1.13 { gt( n5, n3 ) }.
% 0.71/1.13 { gt( n135299, n3 ) }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.71/1.13 .
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.71/1.13 = n5 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.71/1.13 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.71/1.13 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.71/1.13 { succ( n0 ) = n1 }.
% 0.71/1.13 { succ( succ( n0 ) ) = n2 }.
% 0.71/1.13 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.71/1.13
% 0.71/1.13 percentage equality = 0.183929, percentage horn = 0.873303
% 0.71/1.13 This is a problem with some equality
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Options Used:
% 0.71/1.13
% 0.71/1.13 useres = 1
% 0.71/1.13 useparamod = 1
% 0.71/1.13 useeqrefl = 1
% 0.71/1.13 useeqfact = 1
% 0.71/1.13 usefactor = 1
% 0.71/1.13 usesimpsplitting = 0
% 0.71/1.13 usesimpdemod = 5
% 0.71/1.13 usesimpres = 3
% 0.71/1.13
% 0.71/1.13 resimpinuse = 1000
% 0.71/1.13 resimpclauses = 20000
% 0.71/1.13 substype = eqrewr
% 0.71/1.13 backwardsubs = 1
% 0.71/1.13 selectoldest = 5
% 0.71/1.13
% 0.71/1.13 litorderings [0] = split
% 0.71/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.13
% 0.71/1.13 termordering = kbo
% 0.71/1.13
% 0.71/1.13 litapriori = 0
% 0.71/1.13 termapriori = 1
% 0.71/1.13 litaposteriori = 0
% 0.71/1.13 termaposteriori = 0
% 0.71/1.13 demodaposteriori = 0
% 0.71/1.13 ordereqreflfact = 0
% 0.71/1.13
% 0.71/1.13 litselect = negord
% 0.71/1.13
% 0.71/1.13 maxweight = 15
% 0.71/1.13 maxdepth = 30000
% 0.71/1.13 maxlength = 115
% 0.71/1.13 maxnrvars = 195
% 0.71/1.13 excuselevel = 1
% 0.71/1.13 increasemaxweight = 1
% 0.71/1.13
% 0.71/1.13 maxselected = 10000000
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13
% 0.71/1.13 showgenerated = 0
% 0.71/1.13 showkept = 0
% 0.71/1.13 showselected = 0
% 0.71/1.13 showdeleted = 0
% 0.71/1.13 showresimp = 1
% 0.71/1.13 showstatus = 2000
% 0.71/1.13
% 0.71/1.13 prologoutput = 0
% 0.71/1.13 nrgoals = 5000000
% 0.71/1.13 totalproof = 1
% 0.71/1.13
% 0.71/1.13 Symbols occurring in the translation:
% 0.71/1.13
% 0.71/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.13 . [1, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.71/1.13 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 0.71/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 gt [37, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.71/1.13 leq [39, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.71/1.13 lt [40, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.71/1.13 geq [41, 2] (w:1, o:94, a:1, s:1, b:0),
% 13.30/13.68 pred [42, 1] (w:1, o:61, a:1, s:1, b:0),
% 13.30/13.68 succ [43, 1] (w:1, o:62, a:1, s:1, b:0),
% 13.30/13.68 n0 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 13.30/13.68 uniform_int_rnd [46, 2] (w:1, o:123, a:1, s:1, b:0),
% 13.30/13.68 dim [51, 2] (w:1, o:124, a:1, s:1, b:0),
% 13.30/13.68 tptp_const_array1 [52, 2] (w:1, o:119, a:1, s:1, b:0),
% 13.30/13.68 a_select2 [53, 2] (w:1, o:125, a:1, s:1, b:0),
% 13.30/13.68 tptp_const_array2 [59, 3] (w:1, o:146, a:1, s:1, b:0),
% 13.30/13.68 a_select3 [60, 3] (w:1, o:147, a:1, s:1, b:0),
% 13.30/13.68 trans [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 13.30/13.68 inv [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 13.30/13.68 tptp_update3 [67, 4] (w:1, o:164, a:1, s:1, b:0),
% 13.30/13.68 tptp_madd [69, 2] (w:1, o:120, a:1, s:1, b:0),
% 13.30/13.68 tptp_msub [70, 2] (w:1, o:121, a:1, s:1, b:0),
% 13.30/13.68 tptp_mmul [71, 2] (w:1, o:122, a:1, s:1, b:0),
% 13.30/13.68 tptp_minus_1 [77, 0] (w:1, o:34, a:1, s:1, b:0),
% 13.30/13.68 sum [78, 3] (w:1, o:144, a:1, s:1, b:0),
% 13.30/13.68 tptp_float_0_0 [79, 0] (w:1, o:35, a:1, s:1, b:0),
% 13.30/13.68 n1 [80, 0] (w:1, o:36, a:1, s:1, b:0),
% 13.30/13.68 plus [81, 2] (w:1, o:126, a:1, s:1, b:0),
% 13.30/13.68 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 13.30/13.68 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 13.30/13.68 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 13.30/13.68 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 13.30/13.68 minus [86, 2] (w:1, o:127, a:1, s:1, b:0),
% 13.30/13.68 tptp_update2 [91, 3] (w:1, o:148, a:1, s:1, b:0),
% 13.30/13.68 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 13.30/13.68 def [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 13.30/13.68 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 13.30/13.68 pv28 [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 13.30/13.68 pv30 [96, 0] (w:1, o:49, a:1, s:1, b:0),
% 13.30/13.68 n135299 [97, 0] (w:1, o:37, a:1, s:1, b:0),
% 13.30/13.68 q_init [98, 0] (w:1, o:50, a:1, s:1, b:0),
% 13.30/13.68 init [99, 0] (w:1, o:51, a:1, s:1, b:0),
% 13.30/13.68 rho_init [100, 0] (w:1, o:52, a:1, s:1, b:0),
% 13.30/13.68 center_init [101, 0] (w:1, o:45, a:1, s:1, b:0),
% 13.30/13.68 loopcounter [102, 0] (w:1, o:53, a:1, s:1, b:0),
% 13.30/13.68 muold_init [103, 0] (w:1, o:12, a:1, s:1, b:0),
% 13.30/13.68 rhoold_init [104, 0] (w:1, o:54, a:1, s:1, b:0),
% 13.30/13.68 sigmaold_init [106, 0] (w:1, o:33, a:1, s:1, b:0),
% 13.30/13.68 alpha1 [107, 2] (w:1, o:128, a:1, s:1, b:1),
% 13.30/13.68 alpha2 [108, 2] (w:1, o:134, a:1, s:1, b:1),
% 13.30/13.68 alpha3 [109, 2] (w:1, o:138, a:1, s:1, b:1),
% 13.30/13.68 alpha4 [110, 2] (w:1, o:139, a:1, s:1, b:1),
% 13.30/13.68 alpha5 [111, 2] (w:1, o:140, a:1, s:1, b:1),
% 13.30/13.68 alpha6 [112, 2] (w:1, o:141, a:1, s:1, b:1),
% 13.30/13.68 alpha7 [113, 2] (w:1, o:142, a:1, s:1, b:1),
% 13.30/13.68 alpha8 [114, 1] (w:1, o:66, a:1, s:1, b:1),
% 13.30/13.68 alpha9 [115, 2] (w:1, o:143, a:1, s:1, b:1),
% 13.30/13.68 alpha10 [116, 3] (w:1, o:149, a:1, s:1, b:1),
% 13.30/13.68 alpha11 [117, 3] (w:1, o:150, a:1, s:1, b:1),
% 13.30/13.68 alpha12 [118, 3] (w:1, o:151, a:1, s:1, b:1),
% 13.30/13.68 alpha13 [119, 2] (w:1, o:129, a:1, s:1, b:1),
% 13.30/13.68 alpha14 [120, 2] (w:1, o:130, a:1, s:1, b:1),
% 13.30/13.68 alpha15 [121, 2] (w:1, o:131, a:1, s:1, b:1),
% 13.30/13.68 alpha16 [122, 2] (w:1, o:132, a:1, s:1, b:1),
% 13.30/13.68 alpha17 [123, 3] (w:1, o:152, a:1, s:1, b:1),
% 13.30/13.68 alpha18 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 13.30/13.68 alpha19 [125, 2] (w:1, o:133, a:1, s:1, b:1),
% 13.30/13.68 alpha20 [126, 2] (w:1, o:135, a:1, s:1, b:1),
% 13.30/13.68 alpha21 [127, 3] (w:1, o:154, a:1, s:1, b:1),
% 13.30/13.68 alpha22 [128, 3] (w:1, o:155, a:1, s:1, b:1),
% 13.30/13.68 alpha23 [129, 3] (w:1, o:156, a:1, s:1, b:1),
% 13.30/13.68 alpha24 [130, 3] (w:1, o:157, a:1, s:1, b:1),
% 13.30/13.68 alpha25 [131, 3] (w:1, o:158, a:1, s:1, b:1),
% 13.30/13.68 alpha26 [132, 2] (w:1, o:136, a:1, s:1, b:1),
% 13.30/13.68 alpha27 [133, 2] (w:1, o:137, a:1, s:1, b:1),
% 13.30/13.68 alpha28 [134, 3] (w:1, o:159, a:1, s:1, b:1),
% 13.30/13.68 alpha29 [135, 3] (w:1, o:160, a:1, s:1, b:1),
% 13.30/13.68 alpha30 [136, 3] (w:1, o:161, a:1, s:1, b:1),
% 13.30/13.68 skol1 [137, 2] (w:1, o:95, a:1, s:1, b:1),
% 13.30/13.68 skol2 [138, 2] (w:1, o:104, a:1, s:1, b:1),
% 13.30/13.68 skol3 [139, 2] (w:1, o:112, a:1, s:1, b:1),
% 13.30/13.68 skol4 [140, 2] (w:1, o:113, a:1, s:1, b:1),
% 13.30/13.68 skol5 [141, 2] (w:1, o:114, a:1, s:1, b:1),
% 13.30/13.68 skol6 [142, 2] (w:1, o:115, a:1, s:1, b:1),
% 13.30/13.68 skol7 [143, 2] (w:1, o:116, a:1, s:1, b:1),
% 13.30/13.68 skol8 [144, 2] (w:1, o:117, a:1, s:1, b:1),
% 13.30/13.68 skol9 [145, 2] (w:1, o:118, a:1, s:1, b:1),
% 13.30/13.68 skol10 [146, 2] (w:1, o:96, a:1, s:1, b:1),
% 13.30/13.68 skol11 [147, 2] (w:1, o:97, a:1, s:1, b:1),
% 13.30/13.68 skol12 [148, 2] (w:1, o:98, a:1, s:1, b:1),
% 13.30/13.68 skol13 [149, 4] (w:1, o:162, a:1, s:1, b:1),
% 13.30/13.68 skol14 [150, 3] (w:1, o:145, a:1, s:1, b:1),
% 13.30/13.68 skol15 [151, 2] (w:1, o:99, a:1, s:1, b:1),
% 13.30/13.68 skol16 [152, 2] (w:1, o:100, a:1, s:1, b:1),
% 13.30/13.68 skol17 [153, 2] (w:1, o:101, a:1, s:1, b:1),
% 13.30/13.68 skol18 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 13.30/13.68 skol19 [155, 2] (w:1, o:103, a:1, s:1, b:1),
% 13.30/13.68 skol20 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 13.30/13.68 skol21 [157, 2] (w:1, o:106, a:1, s:1, b:1),
% 13.30/13.68 skol22 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 13.30/13.68 skol23 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 13.30/13.68 skol24 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 13.30/13.68 skol25 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 13.30/13.68 skol26 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 13.30/13.68 skol27 [163, 4] (w:1, o:163, a:1, s:1, b:1),
% 13.30/13.68 skol28 [164, 1] (w:1, o:63, a:1, s:1, b:1).
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 Starting Search:
% 13.30/13.68
% 13.30/13.68 *** allocated 15000 integers for clauses
% 13.30/13.68 *** allocated 22500 integers for clauses
% 13.30/13.68 *** allocated 33750 integers for clauses
% 13.30/13.68 *** allocated 22500 integers for termspace/termends
% 13.30/13.68 *** allocated 50625 integers for clauses
% 13.30/13.68 *** allocated 75937 integers for clauses
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 33750 integers for termspace/termends
% 13.30/13.68 *** allocated 113905 integers for clauses
% 13.30/13.68 *** allocated 50625 integers for termspace/termends
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 7962
% 13.30/13.68 Kept: 2042
% 13.30/13.68 Inuse: 171
% 13.30/13.68 Deleted: 0
% 13.30/13.68 Deletedinuse: 0
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 170857 integers for clauses
% 13.30/13.68 *** allocated 75937 integers for termspace/termends
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 113905 integers for termspace/termends
% 13.30/13.68 *** allocated 256285 integers for clauses
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 16068
% 13.30/13.68 Kept: 4043
% 13.30/13.68 Inuse: 326
% 13.30/13.68 Deleted: 0
% 13.30/13.68 Deletedinuse: 0
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 170857 integers for termspace/termends
% 13.30/13.68 *** allocated 384427 integers for clauses
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 23237
% 13.30/13.68 Kept: 6052
% 13.30/13.68 Inuse: 456
% 13.30/13.68 Deleted: 0
% 13.30/13.68 Deletedinuse: 0
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 256285 integers for termspace/termends
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 31420
% 13.30/13.68 Kept: 8106
% 13.30/13.68 Inuse: 551
% 13.30/13.68 Deleted: 0
% 13.30/13.68 Deletedinuse: 0
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 576640 integers for clauses
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 36107
% 13.30/13.68 Kept: 10128
% 13.30/13.68 Inuse: 670
% 13.30/13.68 Deleted: 0
% 13.30/13.68 Deletedinuse: 0
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 384427 integers for termspace/termends
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 44379
% 13.30/13.68 Kept: 12197
% 13.30/13.68 Inuse: 795
% 13.30/13.68 Deleted: 13
% 13.30/13.68 Deletedinuse: 12
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 864960 integers for clauses
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 48914
% 13.30/13.68 Kept: 14333
% 13.30/13.68 Inuse: 859
% 13.30/13.68 Deleted: 14
% 13.30/13.68 Deletedinuse: 12
% 13.30/13.68
% 13.30/13.68 *** allocated 576640 integers for termspace/termends
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 132794
% 13.30/13.68 Kept: 16982
% 13.30/13.68 Inuse: 874
% 13.30/13.68 Deleted: 14
% 13.30/13.68 Deletedinuse: 12
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 864960 integers for termspace/termends
% 13.30/13.68
% 13.30/13.68 Intermediate Status:
% 13.30/13.68 Generated: 155577
% 13.30/13.68 Kept: 19074
% 13.30/13.68 Inuse: 889
% 13.30/13.68 Deleted: 14
% 13.30/13.68 Deletedinuse: 12
% 13.30/13.68
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 *** allocated 1297440 integers for clauses
% 13.30/13.68 Resimplifying inuse:
% 13.30/13.68 Done
% 13.30/13.68
% 13.30/13.68 Resimplifying clauses:
% 13.30/13.68
% 13.30/13.68 Bliksems!, er is een bewijs:
% 13.30/13.68 % SZS status Theorem
% 13.30/13.68 % SZS output start Refutation
% 13.30/13.68
% 13.30/13.68 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv28 ) }.
% 13.30/13.68 (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv30 ) }.
% 13.30/13.68 (173) {G0,W3,D2,L1,V0,M1} I { leq( pv28, n4 ) }.
% 13.30/13.68 (174) {G0,W3,D2,L1,V0,M1} I { leq( pv30, n135299 ) }.
% 13.30/13.68 (175) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, n135299 ), ! leq(
% 13.30/13.68 n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==> init }.
% 13.30/13.68 (181) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, pv30, pv28 ) ==> init
% 13.30/13.68 }.
% 13.30/13.68 (14333) {G1,W9,D2,L3,V0,M3} R(181,175);r(172) { ! leq( pv30, n135299 ), !
% 13.30/13.68 leq( n0, pv28 ), ! leq( pv28, n4 ) }.
% 13.30/13.68 (20313) {G2,W0,D0,L0,V0,M0} S(14333);r(174);r(171);r(173) { }.
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 % SZS output end Refutation
% 13.30/13.68 found a proof!
% 13.30/13.68
% 13.30/13.68
% 13.30/13.68 Unprocessed initial clauses:
% 13.30/13.68
% 13.30/13.68 (20315) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 13.30/13.68 (20316) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 13.30/13.68 (20317) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 13.30/13.68 (20318) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 13.30/13.68 (20319) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 13.30/13.68 }.
% 13.30/13.68 (20320) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 13.30/13.68 (20321) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 13.30/13.68 (20322) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20323) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 13.30/13.68 (20324) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 13.30/13.68 (20325) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 13.30/13.68 (20326) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 13.30/13.68 (20327) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 13.30/13.68 (20328) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 13.30/13.68 (20329) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 13.30/13.68 (20330) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 13.30/13.68 (20331) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 13.30/13.68 (20332) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 13.30/13.68 , X ) }.
% 13.30/13.68 (20333) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 13.30/13.68 , X ) ) }.
% 13.30/13.68 (20334) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 13.30/13.68 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 13.30/13.68 (20335) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 13.30/13.68 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 13.30/13.68 V0 ), X, T ) = V0 }.
% 13.30/13.68 (20336) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 13.30/13.68 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.30/13.68 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 13.30/13.68 (20337) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 13.30/13.68 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 13.30/13.68 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 13.30/13.68 = a_select3( trans( X ), T, Z ) }.
% 13.30/13.68 (20338) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 13.30/13.68 (20339) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20340) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20341) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha10( X, Y, Z ) }.
% 13.30/13.68 (20342) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20343) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20344) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20345) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 13.30/13.68 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.30/13.68 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 13.30/13.68 (20346) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 13.30/13.68 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 13.30/13.68 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 13.30/13.68 a_select3( inv( X ), T, Z ) }.
% 13.30/13.68 (20347) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 13.30/13.68 (20348) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20349) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20350) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha11( X, Y, Z ) }.
% 13.30/13.68 (20351) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20352) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20353) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20354) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 13.30/13.68 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 13.30/13.68 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 13.30/13.68 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 13.30/13.68 (20355) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 13.30/13.68 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 13.30/13.68 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 13.30/13.68 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 13.30/13.68 ( X, U, U, W ), T, Z ) }.
% 13.30/13.68 (20356) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 13.30/13.68 (20357) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20358) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20359) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha12( X, Y, Z ) }.
% 13.30/13.68 (20360) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20361) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20362) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20363) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 13.30/13.68 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 13.30/13.68 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 13.30/13.68 ), U, T ) }.
% 13.30/13.68 (20364) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 13.30/13.68 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 13.30/13.68 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 13.30/13.68 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 13.30/13.68 (20365) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 13.30/13.68 (20366) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20367) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20368) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha22( X, Y, Z ) }.
% 13.30/13.68 (20369) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20370) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20371) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20372) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 13.30/13.68 , skol19( X, Y ) ) }.
% 13.30/13.68 (20373) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 13.30/13.68 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 13.30/13.68 }.
% 13.30/13.68 (20374) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 13.30/13.68 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 13.30/13.68 (20375) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 13.30/13.68 (20376) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20377) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20378) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha23( X, Y, Z ) }.
% 13.30/13.68 (20379) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20380) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20381) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20382) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 13.30/13.68 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 13.30/13.68 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 13.30/13.68 ), U, T ) }.
% 13.30/13.68 (20383) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 13.30/13.68 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 13.30/13.68 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 13.30/13.68 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 13.30/13.68 (20384) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 13.30/13.68 (20385) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20386) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20387) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha24( X, Y, Z ) }.
% 13.30/13.68 (20388) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20389) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20390) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20391) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 13.30/13.68 , skol21( X, Y ) ) }.
% 13.30/13.68 (20392) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 13.30/13.68 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 13.30/13.68 }.
% 13.30/13.68 (20393) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 13.30/13.68 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 13.30/13.68 (20394) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 13.30/13.68 (20395) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20396) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20397) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha25( X, Y, Z ) }.
% 13.30/13.68 (20398) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20399) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20400) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20401) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 13.30/13.68 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.30/13.68 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 13.30/13.68 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 13.30/13.68 (20402) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 13.30/13.68 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 13.30/13.68 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 13.30/13.68 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 13.30/13.68 ( X, trans( U ) ) ), T, Z ) }.
% 13.30/13.68 (20403) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 13.30/13.68 (20404) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20405) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20406) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha17( X, Y, Z ) }.
% 13.30/13.68 (20407) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20408) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20409) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20410) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 13.30/13.68 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 13.30/13.68 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 13.30/13.68 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 13.30/13.68 (20411) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 13.30/13.68 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 13.30/13.68 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 13.30/13.68 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 13.30/13.68 ( X, trans( W ) ) ), T, Z ) }.
% 13.30/13.68 (20412) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 13.30/13.68 (20413) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20414) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20415) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha18( X, Y, Z ) }.
% 13.30/13.68 (20416) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20417) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20418) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20419) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 13.30/13.68 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 13.30/13.68 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 13.30/13.68 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 13.30/13.68 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 13.30/13.68 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 13.30/13.68 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 13.30/13.68 ) ), trans( V0 ) ) ) ), W, U ) }.
% 13.30/13.68 (20420) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 13.30/13.68 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 13.30/13.68 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 13.30/13.68 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 13.30/13.68 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 13.30/13.68 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 13.30/13.68 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 13.30/13.68 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 13.30/13.68 ) ), W, U ) }.
% 13.30/13.68 (20421) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 13.30/13.68 (20422) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20423) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20424) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha29( X, Y, Z ) }.
% 13.30/13.68 (20425) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20426) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20427) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20428) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 13.30/13.68 ), skol25( X, Y ) ) }.
% 13.30/13.68 (20429) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 13.30/13.68 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 13.30/13.68 }.
% 13.30/13.68 (20430) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 13.30/13.68 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 13.30/13.68 (20431) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 13.30/13.68 (20432) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20433) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20434) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha30( X, Y, Z ) }.
% 13.30/13.68 (20435) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20436) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20437) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20438) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 13.30/13.68 skol26( X, Y ) ) }.
% 13.30/13.68 (20439) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 13.30/13.68 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 13.30/13.68 (20440) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 13.30/13.68 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 13.30/13.68 (20441) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 13.30/13.68 (20442) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 13.30/13.68 (20443) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 13.30/13.68 (20444) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.30/13.68 , X ), alpha28( X, Y, Z ) }.
% 13.30/13.68 (20445) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20446) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 13.30/13.68 (20447) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20448) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 13.30/13.68 (20449) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 13.30/13.68 }.
% 13.30/13.68 (20450) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 13.30/13.68 (20451) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 13.30/13.68 (20452) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 13.30/13.68 (20453) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 13.30/13.68 (20454) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 13.30/13.68 (20455) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 13.30/13.68 }.
% 13.30/13.68 (20456) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 13.30/13.68 }.
% 13.30/13.68 (20457) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 13.30/13.68 ) ) ) }.
% 13.30/13.68 (20458) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 13.30/13.68 ) ) ) }.
% 13.30/13.68 (20459) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 13.30/13.68 succ( X ) ) ) ) ) }.
% 13.30/13.68 (20460) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 13.30/13.68 succ( X ) ) ) ) ) }.
% 13.30/13.68 (20461) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 13.30/13.68 (20462) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 13.30/13.68 (20463) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 13.30/13.68 (20464) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 13.30/13.68 }.
% 13.30/13.68 (20465) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 13.30/13.68 }.
% 13.30/13.68 (20466) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 13.30/13.68 (20467) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 13.30/13.68 (20468) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 13.30/13.68 ) = T }.
% 13.30/13.68 (20469) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 13.30/13.68 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 13.30/13.68 (20470) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 13.30/13.68 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 13.30/13.68 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.30/13.68 (20471) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 13.30/13.68 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 13.30/13.68 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.30/13.68 (20472) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 13.30/13.68 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 13.30/13.68 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.30/13.68 (20473) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 13.30/13.68 (20474) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 13.30/13.68 (20475) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 13.30/13.68 , Y, Z ) }.
% 13.30/13.68 (20476) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 13.30/13.68 (20477) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 13.30/13.68 (20478) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 13.30/13.68 ) }.
% 13.30/13.68 (20479) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 13.30/13.68 }.
% 13.30/13.68 (20480) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 13.30/13.68 tptp_update2( Z, X, U ), Y ) = T }.
% 13.30/13.68 (20481) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 13.30/13.68 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 13.30/13.68 (20482) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 13.30/13.68 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 13.30/13.68 (20483) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 13.30/13.68 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 13.30/13.68 }.
% 13.30/13.68 (20484) {G0,W1,D1,L1,V0,M1} { true }.
% 13.30/13.68 (20485) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 13.30/13.68 (20486) {G0,W3,D2,L1,V0,M1} { leq( n0, pv28 ) }.
% 13.30/13.68 (20487) {G0,W3,D2,L1,V0,M1} { leq( n0, pv30 ) }.
% 13.30/13.68 (20488) {G0,W3,D2,L1,V0,M1} { leq( pv28, n4 ) }.
% 13.30/13.68 (20489) {G0,W3,D2,L1,V0,M1} { leq( pv30, n135299 ) }.
% 13.30/13.68 (20490) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 13.30/13.68 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 13.30/13.68 (20491) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv28 ) ),
% 13.30/13.68 a_select2( rho_init, X ) = init }.
% 13.30/13.68 (20492) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 13.30/13.68 center_init, X, n0 ) = init }.
% 13.30/13.68 (20493) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 13.30/13.68 leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 13.30/13.68 (20494) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 13.30/13.68 leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 13.30/13.68 (20495) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 13.30/13.68 leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 13.30/13.68 (20496) {G0,W6,D3,L1,V0,M1} { ! a_select3( q_init, pv30, pv28 ) = init }.
% 13.30/13.68 (20497) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 13.30/13.68 (20498) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 13.30/13.68 (20499) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 13.30/13.68 (20500) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 13.30/13.68 (20501) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 13.30/13.68 (20502) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 13.30/13.68 (20503) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 13.30/13.68 (20504) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 13.30/13.68 (20505) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 13.30/13.68 (20506) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 13.30/13.68 (20507) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 13.30/13.68 (20508) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 13.30/13.68 (20509) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 13.30/13.68 (20510) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 13.30/13.68 (20511) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 13.30/13.68 (20512) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 13.30/13.68 (20513) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 13.30/13.68 (20514) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 13.30/13.68 (20515) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 13.30/13.68 (20516) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 13.30/13.68 (20517) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 13.30/13.68 (20518) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 13.30/13.68 (20519) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 13.30/13.68 (20520) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 13.30/13.68 (20521) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 13.30/13.68 (20522) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 13.30/13.70 (20523) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 13.30/13.70 (20524) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 13.30/13.70 (20525) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 13.30/13.70 n1, X = n2, X = n3, X = n4 }.
% 13.30/13.70 (20526) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 13.30/13.70 n1, X = n2, X = n3, X = n4, X = n5 }.
% 13.30/13.70 (20527) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 13.30/13.70 (20528) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 13.30/13.70 n1 }.
% 13.30/13.70 (20529) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 13.30/13.70 n1, X = n2 }.
% 13.30/13.70 (20530) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 13.30/13.70 n1, X = n2, X = n3 }.
% 13.30/13.70 (20531) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 13.30/13.70 (20532) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 13.30/13.70 n5 }.
% 13.30/13.70 (20533) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 13.30/13.70 (20534) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 13.30/13.70 (20535) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 13.30/13.70
% 13.30/13.70
% 13.30/13.70 Total Proof:
% 13.30/13.70
% 13.30/13.70 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv28 ) }.
% 13.30/13.70 parent0: (20486) {G0,W3,D2,L1,V0,M1} { leq( n0, pv28 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 0 ==> 0
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv30 ) }.
% 13.30/13.70 parent0: (20487) {G0,W3,D2,L1,V0,M1} { leq( n0, pv30 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 0 ==> 0
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 subsumption: (173) {G0,W3,D2,L1,V0,M1} I { leq( pv28, n4 ) }.
% 13.30/13.70 parent0: (20488) {G0,W3,D2,L1,V0,M1} { leq( pv28, n4 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 0 ==> 0
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 subsumption: (174) {G0,W3,D2,L1,V0,M1} I { leq( pv30, n135299 ) }.
% 13.30/13.70 parent0: (20489) {G0,W3,D2,L1,V0,M1} { leq( pv30, n135299 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 0 ==> 0
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 subsumption: (175) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X,
% 13.30/13.70 n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==>
% 13.30/13.70 init }.
% 13.30/13.70 parent0: (20490) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299
% 13.30/13.70 ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 13.30/13.70 substitution0:
% 13.30/13.70 X := X
% 13.30/13.70 Y := Y
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 0 ==> 0
% 13.30/13.70 1 ==> 1
% 13.30/13.70 2 ==> 2
% 13.30/13.70 3 ==> 3
% 13.30/13.70 4 ==> 4
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 subsumption: (181) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, pv30, pv28
% 13.30/13.70 ) ==> init }.
% 13.30/13.70 parent0: (20496) {G0,W6,D3,L1,V0,M1} { ! a_select3( q_init, pv30, pv28 ) =
% 13.30/13.70 init }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 0 ==> 0
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 eqswap: (23718) {G0,W6,D3,L1,V0,M1} { ! init ==> a_select3( q_init, pv30,
% 13.30/13.70 pv28 ) }.
% 13.30/13.70 parent0[0]: (181) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, pv30, pv28 )
% 13.30/13.70 ==> init }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 eqswap: (23719) {G0,W18,D3,L5,V2,M5} { init ==> a_select3( q_init, X, Y )
% 13.30/13.70 , ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ) }.
% 13.30/13.70 parent0[4]: (175) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X,
% 13.30/13.70 n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==>
% 13.30/13.70 init }.
% 13.30/13.70 substitution0:
% 13.30/13.70 X := X
% 13.30/13.70 Y := Y
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 resolution: (23720) {G1,W12,D2,L4,V0,M4} { ! leq( n0, pv30 ), ! leq( pv30
% 13.30/13.70 , n135299 ), ! leq( n0, pv28 ), ! leq( pv28, n4 ) }.
% 13.30/13.70 parent0[0]: (23718) {G0,W6,D3,L1,V0,M1} { ! init ==> a_select3( q_init,
% 13.30/13.70 pv30, pv28 ) }.
% 13.30/13.70 parent1[0]: (23719) {G0,W18,D3,L5,V2,M5} { init ==> a_select3( q_init, X,
% 13.30/13.70 Y ), ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 )
% 13.30/13.70 }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 substitution1:
% 13.30/13.70 X := pv30
% 13.30/13.70 Y := pv28
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 resolution: (23721) {G1,W9,D2,L3,V0,M3} { ! leq( pv30, n135299 ), ! leq(
% 13.30/13.70 n0, pv28 ), ! leq( pv28, n4 ) }.
% 13.30/13.70 parent0[0]: (23720) {G1,W12,D2,L4,V0,M4} { ! leq( n0, pv30 ), ! leq( pv30
% 13.30/13.70 , n135299 ), ! leq( n0, pv28 ), ! leq( pv28, n4 ) }.
% 13.30/13.70 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv30 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 substitution1:
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 subsumption: (14333) {G1,W9,D2,L3,V0,M3} R(181,175);r(172) { ! leq( pv30,
% 13.30/13.70 n135299 ), ! leq( n0, pv28 ), ! leq( pv28, n4 ) }.
% 13.30/13.70 parent0: (23721) {G1,W9,D2,L3,V0,M3} { ! leq( pv30, n135299 ), ! leq( n0,
% 13.30/13.70 pv28 ), ! leq( pv28, n4 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 0 ==> 0
% 13.30/13.70 1 ==> 1
% 13.30/13.70 2 ==> 2
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 resolution: (23722) {G1,W6,D2,L2,V0,M2} { ! leq( n0, pv28 ), ! leq( pv28,
% 13.30/13.70 n4 ) }.
% 13.30/13.70 parent0[0]: (14333) {G1,W9,D2,L3,V0,M3} R(181,175);r(172) { ! leq( pv30,
% 13.30/13.70 n135299 ), ! leq( n0, pv28 ), ! leq( pv28, n4 ) }.
% 13.30/13.70 parent1[0]: (174) {G0,W3,D2,L1,V0,M1} I { leq( pv30, n135299 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 substitution1:
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 resolution: (23723) {G1,W3,D2,L1,V0,M1} { ! leq( pv28, n4 ) }.
% 13.30/13.70 parent0[0]: (23722) {G1,W6,D2,L2,V0,M2} { ! leq( n0, pv28 ), ! leq( pv28,
% 13.30/13.70 n4 ) }.
% 13.30/13.70 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv28 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 substitution1:
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 resolution: (23724) {G1,W0,D0,L0,V0,M0} { }.
% 13.30/13.70 parent0[0]: (23723) {G1,W3,D2,L1,V0,M1} { ! leq( pv28, n4 ) }.
% 13.30/13.70 parent1[0]: (173) {G0,W3,D2,L1,V0,M1} I { leq( pv28, n4 ) }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 substitution1:
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 subsumption: (20313) {G2,W0,D0,L0,V0,M0} S(14333);r(174);r(171);r(173) {
% 13.30/13.70 }.
% 13.30/13.70 parent0: (23724) {G1,W0,D0,L0,V0,M0} { }.
% 13.30/13.70 substitution0:
% 13.30/13.70 end
% 13.30/13.70 permutation0:
% 13.30/13.70 end
% 13.30/13.70
% 13.30/13.70 Proof check complete!
% 13.30/13.70
% 13.30/13.70 Memory use:
% 13.30/13.70
% 13.30/13.70 space for terms: 645009
% 13.30/13.70 space for clauses: 894111
% 13.30/13.70
% 13.30/13.70
% 13.30/13.70 clauses generated: 179178
% 13.30/13.70 clauses kept: 20314
% 13.30/13.70 clauses selected: 894
% 13.30/13.70 clauses deleted: 783
% 13.30/13.70 clauses inuse deleted: 12
% 13.30/13.70
% 13.30/13.70 subsentry: 436558
% 13.30/13.70 literals s-matched: 154094
% 13.30/13.70 literals matched: 134111
% 13.30/13.70 full subsumption: 104974
% 13.30/13.70
% 13.30/13.70 checksum: -1988754932
% 13.30/13.70
% 13.30/13.70
% 13.30/13.70 Bliksem ended
%------------------------------------------------------------------------------