TSTP Solution File: SWV170+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV170+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:48 EDT 2022
% Result : Theorem 1.74s 2.12s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV170+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Wed Jun 15 15:33:50 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.65/1.05 *** allocated 10000 integers for termspace/termends
% 0.65/1.05 *** allocated 10000 integers for clauses
% 0.65/1.05 *** allocated 10000 integers for justifications
% 0.65/1.05 Bliksem 1.12
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Automatic Strategy Selection
% 0.65/1.05
% 0.65/1.05 *** allocated 15000 integers for termspace/termends
% 0.65/1.05
% 0.65/1.05 Clauses:
% 0.65/1.05
% 0.65/1.05 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.65/1.05 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.65/1.05 { ! gt( X, X ) }.
% 0.65/1.05 { leq( X, X ) }.
% 0.65/1.05 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.65/1.05 { ! lt( X, Y ), gt( Y, X ) }.
% 0.65/1.05 { ! gt( Y, X ), lt( X, Y ) }.
% 0.65/1.05 { ! geq( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( Y, X ), geq( X, Y ) }.
% 0.65/1.05 { ! gt( Y, X ), leq( X, Y ) }.
% 0.65/1.05 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.65/1.05 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.65/1.05 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.65/1.05 { gt( succ( X ), X ) }.
% 0.65/1.05 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.65/1.05 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.65/1.05 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.65/1.05 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.65/1.05 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.65/1.05 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.65/1.05 T ), X ) = T }.
% 0.65/1.05 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.65/1.05 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.65/1.05 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.05 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.65/1.05 a_select3( trans( X ), T, Z ) }.
% 0.65/1.05 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.65/1.05 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.05 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.65/1.05 ) }.
% 0.65/1.05 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.65/1.05 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.65/1.05 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.65/1.05 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.05 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.65/1.05 a_select3( inv( X ), T, Z ) }.
% 0.65/1.05 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.65/1.05 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.05 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.65/1.05 .
% 0.65/1.05 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.65/1.05 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.65/1.05 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.65/1.05 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.05 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.65/1.05 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.65/1.05 X, U, U, W ), T, Z ) }.
% 0.65/1.05 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.65/1.05 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.05 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.65/1.05 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.65/1.05 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.65/1.05 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.65/1.05 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.65/1.05 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.65/1.05 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.65/1.05 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.65/1.05 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.65/1.05 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.65/1.05 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.65/1.05 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.65/1.05 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.65/1.05 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.65/1.05 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.65/1.05 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.65/1.05 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.65/1.05 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.65/1.05 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.65/1.05 ( X, Y ) }.
% 0.65/1.05 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.65/1.05 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.65/1.05 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.65/1.05 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.65/1.05 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.65/1.05 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.65/1.05 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.65/1.05 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.65/1.05 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.65/1.05 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.65/1.05 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.65/1.05 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.65/1.05 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.65/1.05 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.65/1.05 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.65/1.05 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.65/1.05 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.65/1.05 ( X, Y ) }.
% 0.65/1.05 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.65/1.05 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.65/1.05 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.65/1.05 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.05 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.65/1.05 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.65/1.05 U ) ) ), T, Z ) }.
% 0.65/1.05 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.65/1.05 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.05 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.65/1.05 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.65/1.05 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.65/1.05 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.65/1.05 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.65/1.05 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.65/1.05 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.65/1.05 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.65/1.05 W ) ) ), T, Z ) }.
% 0.65/1.05 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.65/1.05 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.65/1.05 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.65/1.05 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.65/1.05 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.65/1.05 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.65/1.05 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.65/1.05 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.65/1.05 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.65/1.05 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.65/1.05 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.65/1.05 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.65/1.05 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.65/1.05 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.65/1.05 ) }.
% 0.65/1.05 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.65/1.05 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.65/1.05 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.65/1.05 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.65/1.05 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.65/1.05 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.65/1.05 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.65/1.05 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.65/1.05 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.65/1.05 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.65/1.05 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.65/1.05 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.65/1.05 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.65/1.05 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.65/1.05 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.65/1.05 alpha19( X, Y ) }.
% 0.65/1.05 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.65/1.05 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.65/1.05 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.65/1.05 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.65/1.05 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.65/1.05 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.65/1.05 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.65/1.05 ), alpha8( X ) }.
% 0.65/1.05 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.65/1.05 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.05 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.05 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.65/1.05 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.65/1.05 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.65/1.05 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.65/1.05 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.65/1.05 { succ( tptp_minus_1 ) = n0 }.
% 0.65/1.05 { plus( X, n1 ) = succ( X ) }.
% 0.65/1.05 { plus( n1, X ) = succ( X ) }.
% 0.65/1.05 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.65/1.05 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.65/1.05 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.65/1.05 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.65/1.05 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.65/1.05 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.65/1.05 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.65/1.05 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.65/1.05 { minus( X, n1 ) = pred( X ) }.
% 0.65/1.05 { pred( succ( X ) ) = X }.
% 0.65/1.05 { succ( pred( X ) ) = X }.
% 0.65/1.05 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.65/1.05 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.65/1.05 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.65/1.05 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.65/1.05 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.65/1.05 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.65/1.05 , Y, V0 ), Z, T ) = W }.
% 0.65/1.05 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.65/1.05 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.65/1.05 }.
% 0.65/1.05 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.65/1.05 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.65/1.05 U, Z, T, W ), X, Y ) = W }.
% 0.65/1.05 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.65/1.05 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.65/1.05 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.65/1.05 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.65/1.05 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.65/1.05 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.65/1.05 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.65/1.05 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.65/1.05 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.65/1.05 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.65/1.05 T }.
% 0.65/1.05 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.65/1.05 tptp_update2( Z, Y, T ), X ) = T }.
% 0.65/1.05 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.65/1.05 tptp_update2( Z, Y, T ), X ) = T }.
% 0.65/1.05 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.65/1.05 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.65/1.05 { true }.
% 0.65/1.05 { ! def = use }.
% 0.65/1.05 { leq( n0, pv10 ) }.
% 0.65/1.05 { leq( n0, pv52 ) }.
% 0.65/1.05 { leq( n0, pv54 ) }.
% 0.65/1.05 { leq( pv10, n135299 ) }.
% 0.65/1.05 { leq( pv52, n4 ) }.
% 0.65/1.05 { leq( pv54, n4 ) }.
% 0.65/1.05 { gt( loopcounter, n1 ) }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.65/1.05 a_select3( q_init, X, Y ) = init }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( mu_init, X ) = init }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( sigma_init, X ) = init }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.65/1.05 .
% 0.65/1.05 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.65/1.05 muold_init, X ) = init }.
% 0.65/1.05 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.65/1.05 rhoold_init, X ) = init }.
% 0.65/1.05 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.65/1.05 sigmaold_init, X ) = init }.
% 0.65/1.05 { leq( n0, skol15 ) }.
% 0.65/1.05 { leq( skol15, n4 ) }.
% 0.65/1.05 { ! a_select2( muold_init, skol15 ) = init }.
% 0.65/1.05 { gt( n5, n4 ) }.
% 0.65/1.05 { gt( n135299, n4 ) }.
% 0.65/1.05 { gt( n135299, n5 ) }.
% 0.65/1.05 { gt( n4, tptp_minus_1 ) }.
% 0.65/1.05 { gt( n5, tptp_minus_1 ) }.
% 0.65/1.05 { gt( n135299, tptp_minus_1 ) }.
% 0.65/1.05 { gt( n0, tptp_minus_1 ) }.
% 0.65/1.05 { gt( n1, tptp_minus_1 ) }.
% 0.65/1.05 { gt( n2, tptp_minus_1 ) }.
% 0.65/1.05 { gt( n3, tptp_minus_1 ) }.
% 0.65/1.05 { gt( n4, n0 ) }.
% 0.65/1.05 { gt( n5, n0 ) }.
% 0.65/1.05 { gt( n135299, n0 ) }.
% 0.65/1.05 { gt( n1, n0 ) }.
% 0.65/1.05 { gt( n2, n0 ) }.
% 0.65/1.05 { gt( n3, n0 ) }.
% 0.65/1.05 { gt( n4, n1 ) }.
% 0.65/1.05 { gt( n5, n1 ) }.
% 0.65/1.05 { gt( n135299, n1 ) }.
% 0.65/1.05 { gt( n2, n1 ) }.
% 0.65/1.05 { gt( n3, n1 ) }.
% 0.65/1.05 { gt( n4, n2 ) }.
% 0.65/1.05 { gt( n5, n2 ) }.
% 0.65/1.05 { gt( n135299, n2 ) }.
% 0.65/1.05 { gt( n3, n2 ) }.
% 0.65/1.05 { gt( n4, n3 ) }.
% 0.65/1.05 { gt( n5, n3 ) }.
% 0.65/1.05 { gt( n135299, n3 ) }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.65/1.05 .
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.65/1.05 = n5 }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.65/1.05 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.65/1.05 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.65/1.05 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.65/1.05 { succ( n0 ) = n1 }.
% 0.65/1.05 { succ( succ( n0 ) ) = n2 }.
% 0.65/1.05 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.65/1.05
% 0.65/1.05 percentage equality = 0.183888, percentage horn = 0.877193
% 0.65/1.05 This is a problem with some equality
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Options Used:
% 0.65/1.05
% 0.65/1.05 useres = 1
% 0.65/1.05 useparamod = 1
% 0.65/1.05 useeqrefl = 1
% 0.65/1.05 useeqfact = 1
% 0.65/1.05 usefactor = 1
% 0.65/1.05 usesimpsplitting = 0
% 0.65/1.05 usesimpdemod = 5
% 0.65/1.05 usesimpres = 3
% 0.65/1.05
% 0.65/1.05 resimpinuse = 1000
% 0.65/1.05 resimpclauses = 20000
% 0.65/1.05 substype = eqrewr
% 0.65/1.05 backwardsubs = 1
% 0.65/1.05 selectoldest = 5
% 0.65/1.05
% 0.65/1.05 litorderings [0] = split
% 0.65/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.65/1.05
% 0.65/1.05 termordering = kbo
% 0.65/1.05
% 0.65/1.05 litapriori = 0
% 0.65/1.05 termapriori = 1
% 0.65/1.05 litaposteriori = 0
% 0.65/1.05 termaposteriori = 0
% 0.65/1.05 demodaposteriori = 0
% 0.65/1.05 ordereqreflfact = 0
% 0.65/1.05
% 0.65/1.05 litselect = negord
% 0.65/1.05
% 0.65/1.05 maxweight = 15
% 0.65/1.05 maxdepth = 30000
% 0.65/1.05 maxlength = 115
% 0.65/1.05 maxnrvars = 195
% 0.65/1.05 excuselevel = 1
% 0.65/1.05 increasemaxweight = 1
% 0.65/1.05
% 0.65/1.05 maxselected = 10000000
% 0.65/1.05 maxnrclauses = 10000000
% 0.65/1.05
% 0.65/1.05 showgenerated = 0
% 0.65/1.05 showkept = 0
% 0.65/1.05 showselected = 0
% 0.65/1.05 showdeleted = 0
% 0.65/1.05 showresimp = 1
% 0.65/1.05 showstatus = 2000
% 0.65/1.05
% 0.65/1.05 prologoutput = 0
% 0.65/1.05 nrgoals = 5000000
% 0.65/1.05 totalproof = 1
% 0.65/1.05
% 0.65/1.05 Symbols occurring in the translation:
% 0.65/1.05
% 0.65/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.65/1.05 . [1, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.65/1.05 ! [4, 1] (w:0, o:61, a:1, s:1, b:0),
% 0.65/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.74/2.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.74/2.12 gt [37, 2] (w:1, o:96, a:1, s:1, b:0),
% 1.74/2.12 leq [39, 2] (w:1, o:97, a:1, s:1, b:0),
% 1.74/2.12 lt [40, 2] (w:1, o:98, a:1, s:1, b:0),
% 1.74/2.12 geq [41, 2] (w:1, o:99, a:1, s:1, b:0),
% 1.74/2.12 pred [42, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.74/2.12 succ [43, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.74/2.12 n0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.74/2.12 uniform_int_rnd [46, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.74/2.12 dim [51, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.74/2.12 tptp_const_array1 [52, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.74/2.12 a_select2 [53, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.74/2.12 tptp_const_array2 [59, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.74/2.12 a_select3 [60, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.74/2.12 trans [63, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.74/2.12 inv [64, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.74/2.12 tptp_update3 [67, 4] (w:1, o:169, a:1, s:1, b:0),
% 1.74/2.12 tptp_madd [69, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.74/2.12 tptp_msub [70, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.74/2.12 tptp_mmul [71, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.74/2.12 tptp_minus_1 [77, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.74/2.12 sum [78, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.74/2.12 tptp_float_0_0 [79, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.74/2.12 n1 [80, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.74/2.12 plus [81, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.74/2.12 n2 [82, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.74/2.12 n3 [83, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.74/2.12 n4 [84, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.74/2.12 n5 [85, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.74/2.12 minus [86, 2] (w:1, o:132, a:1, s:1, b:0),
% 1.74/2.12 tptp_update2 [91, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.74/2.12 true [92, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.74/2.12 def [93, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.74/2.12 use [94, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.74/2.12 pv10 [95, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.74/2.12 pv52 [96, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.74/2.12 pv54 [97, 0] (w:1, o:55, a:1, s:1, b:0),
% 1.74/2.12 n135299 [98, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.74/2.12 loopcounter [99, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.74/2.12 q_init [100, 0] (w:1, o:57, a:1, s:1, b:0),
% 1.74/2.12 init [101, 0] (w:1, o:58, a:1, s:1, b:0),
% 1.74/2.12 rho_init [102, 0] (w:1, o:59, a:1, s:1, b:0),
% 1.74/2.12 mu_init [103, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.74/2.12 sigma_init [104, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.74/2.12 center_init [105, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.74/2.12 muold_init [107, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.74/2.12 rhoold_init [109, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.74/2.12 sigmaold_init [110, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.74/2.12 alpha1 [111, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.74/2.12 alpha2 [112, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.74/2.12 alpha3 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.74/2.12 alpha4 [114, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.74/2.12 alpha5 [115, 2] (w:1, o:145, a:1, s:1, b:1),
% 1.74/2.12 alpha6 [116, 2] (w:1, o:146, a:1, s:1, b:1),
% 1.74/2.12 alpha7 [117, 2] (w:1, o:147, a:1, s:1, b:1),
% 1.74/2.12 alpha8 [118, 1] (w:1, o:71, a:1, s:1, b:1),
% 1.74/2.12 alpha9 [119, 2] (w:1, o:148, a:1, s:1, b:1),
% 1.74/2.12 alpha10 [120, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.74/2.12 alpha11 [121, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.74/2.12 alpha12 [122, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.74/2.12 alpha13 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.74/2.12 alpha14 [124, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.74/2.12 alpha15 [125, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.74/2.12 alpha16 [126, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.74/2.12 alpha17 [127, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.74/2.12 alpha18 [128, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.74/2.12 alpha19 [129, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.74/2.12 alpha20 [130, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.74/2.12 alpha21 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.74/2.12 alpha22 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.74/2.12 alpha23 [133, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.74/2.12 alpha24 [134, 3] (w:1, o:162, a:1, s:1, b:1),
% 1.74/2.12 alpha25 [135, 3] (w:1, o:163, a:1, s:1, b:1),
% 1.74/2.12 alpha26 [136, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.74/2.12 alpha27 [137, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.74/2.12 alpha28 [138, 3] (w:1, o:164, a:1, s:1, b:1),
% 1.74/2.12 alpha29 [139, 3] (w:1, o:165, a:1, s:1, b:1),
% 1.74/2.12 alpha30 [140, 3] (w:1, o:166, a:1, s:1, b:1),
% 1.74/2.12 skol1 [141, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.74/2.12 skol2 [142, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.74/2.12 skol3 [143, 2] (w:1, o:117, a:1, s:1, b:1),
% 1.74/2.12 skol4 [144, 2] (w:1, o:118, a:1, s:1, b:1),
% 1.74/2.12 skol5 [145, 2] (w:1, o:119, a:1, s:1, b:1),
% 1.74/2.12 skol6 [146, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.74/2.12 skol7 [147, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.74/2.12 skol8 [148, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.74/2.12 skol9 [149, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.74/2.12 skol10 [150, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.74/2.12 skol11 [151, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.74/2.12 skol12 [152, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.74/2.12 skol13 [153, 4] (w:1, o:167, a:1, s:1, b:1),
% 1.74/2.12 skol14 [154, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.74/2.12 skol15 [155, 0] (w:1, o:38, a:1, s:1, b:1),
% 1.74/2.12 skol16 [156, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.74/2.12 skol17 [157, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.74/2.12 skol18 [158, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.74/2.12 skol19 [159, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.74/2.12 skol20 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.74/2.12 skol21 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.74/2.12 skol22 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.74/2.12 skol23 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.74/2.12 skol24 [164, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.74/2.12 skol25 [165, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.74/2.12 skol26 [166, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.74/2.12 skol27 [167, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.74/2.12 skol28 [168, 4] (w:1, o:168, a:1, s:1, b:1),
% 1.74/2.12 skol29 [169, 1] (w:1, o:68, a:1, s:1, b:1).
% 1.74/2.12
% 1.74/2.12
% 1.74/2.12 Starting Search:
% 1.74/2.12
% 1.74/2.12 *** allocated 15000 integers for clauses
% 1.74/2.12 *** allocated 22500 integers for clauses
% 1.74/2.12 *** allocated 33750 integers for clauses
% 1.74/2.12 *** allocated 22500 integers for termspace/termends
% 1.74/2.12 *** allocated 50625 integers for clauses
% 1.74/2.12 *** allocated 75937 integers for clauses
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 33750 integers for termspace/termends
% 1.74/2.12 *** allocated 113905 integers for clauses
% 1.74/2.12 *** allocated 50625 integers for termspace/termends
% 1.74/2.12
% 1.74/2.12 Intermediate Status:
% 1.74/2.12 Generated: 7969
% 1.74/2.12 Kept: 2049
% 1.74/2.12 Inuse: 171
% 1.74/2.12 Deleted: 0
% 1.74/2.12 Deletedinuse: 0
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 170857 integers for clauses
% 1.74/2.12 *** allocated 75937 integers for termspace/termends
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 256285 integers for clauses
% 1.74/2.12 *** allocated 113905 integers for termspace/termends
% 1.74/2.12
% 1.74/2.12 Intermediate Status:
% 1.74/2.12 Generated: 16147
% 1.74/2.12 Kept: 4060
% 1.74/2.12 Inuse: 316
% 1.74/2.12 Deleted: 0
% 1.74/2.12 Deletedinuse: 0
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 170857 integers for termspace/termends
% 1.74/2.12 *** allocated 384427 integers for clauses
% 1.74/2.12
% 1.74/2.12 Intermediate Status:
% 1.74/2.12 Generated: 23295
% 1.74/2.12 Kept: 6096
% 1.74/2.12 Inuse: 451
% 1.74/2.12 Deleted: 0
% 1.74/2.12 Deletedinuse: 0
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 256285 integers for termspace/termends
% 1.74/2.12
% 1.74/2.12 Intermediate Status:
% 1.74/2.12 Generated: 31277
% 1.74/2.12 Kept: 8101
% 1.74/2.12 Inuse: 546
% 1.74/2.12 Deleted: 0
% 1.74/2.12 Deletedinuse: 0
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 576640 integers for clauses
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12
% 1.74/2.12 Intermediate Status:
% 1.74/2.12 Generated: 36089
% 1.74/2.12 Kept: 10104
% 1.74/2.12 Inuse: 661
% 1.74/2.12 Deleted: 0
% 1.74/2.12 Deletedinuse: 0
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 384427 integers for termspace/termends
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12
% 1.74/2.12 Intermediate Status:
% 1.74/2.12 Generated: 44217
% 1.74/2.12 Kept: 12175
% 1.74/2.12 Inuse: 790
% 1.74/2.12 Deleted: 7
% 1.74/2.12 Deletedinuse: 6
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12 *** allocated 864960 integers for clauses
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12
% 1.74/2.12 Intermediate Status:
% 1.74/2.12 Generated: 48810
% 1.74/2.12 Kept: 14258
% 1.74/2.12 Inuse: 854
% 1.74/2.12 Deleted: 8
% 1.74/2.12 Deletedinuse: 6
% 1.74/2.12
% 1.74/2.12 Resimplifying inuse:
% 1.74/2.12 Done
% 1.74/2.12
% 1.74/2.12
% 1.74/2.12 Bliksems!, er is een bewijs:
% 1.74/2.12 % SZS status Theorem
% 1.74/2.12 % SZS output start Refutation
% 1.74/2.12
% 1.74/2.12 (177) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.74/2.12 (183) {G1,W11,D3,L3,V1,M3} I;r(177) { ! leq( n0, X ), ! leq( X, n4 ),
% 1.74/2.12 a_select2( muold_init, X ) ==> init }.
% 1.74/2.12 (186) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.74/2.12 (187) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.74/2.12 (188) {G0,W5,D3,L1,V0,M1} I { ! a_select2( muold_init, skol15 ) ==> init
% 1.74/2.12 }.
% 1.74/2.12 (14354) {G2,W5,D3,L1,V0,M1} R(183,186);r(187) { a_select2( muold_init,
% 1.74/2.12 skol15 ) ==> init }.
% 1.74/2.12 (14645) {G3,W0,D0,L0,V0,M0} S(188);d(14354);q { }.
% 1.74/2.12
% 1.74/2.12
% 1.74/2.12 % SZS output end Refutation
% 1.74/2.12 found a proof!
% 1.74/2.12
% 1.74/2.12
% 1.74/2.12 Unprocessed initial clauses:
% 1.74/2.12
% 1.74/2.12 (14647) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.74/2.12 (14648) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.74/2.12 (14649) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.74/2.12 (14650) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.74/2.12 (14651) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.74/2.12 }.
% 1.74/2.12 (14652) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.74/2.12 (14653) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.74/2.12 (14654) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14655) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.74/2.12 (14656) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.74/2.12 (14657) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.74/2.12 (14658) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.74/2.12 (14659) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.74/2.12 (14660) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.74/2.12 (14661) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.74/2.12 (14662) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.74/2.12 (14663) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.74/2.12 (14664) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.74/2.12 , X ) }.
% 1.74/2.12 (14665) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.74/2.12 , X ) ) }.
% 1.74/2.12 (14666) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.74/2.12 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.74/2.12 (14667) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.74/2.12 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.74/2.12 V0 ), X, T ) = V0 }.
% 1.74/2.12 (14668) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.74/2.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.74/2.12 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.74/2.12 (14669) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.74/2.12 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.74/2.12 = a_select3( trans( X ), T, Z ) }.
% 1.74/2.12 (14670) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.74/2.12 (14671) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14672) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14673) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha10( X, Y, Z ) }.
% 1.74/2.12 (14674) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14675) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14676) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14677) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.74/2.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.74/2.12 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.74/2.12 (14678) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.74/2.12 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.74/2.12 a_select3( inv( X ), T, Z ) }.
% 1.74/2.12 (14679) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.74/2.12 (14680) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14681) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14682) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha11( X, Y, Z ) }.
% 1.74/2.12 (14683) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14684) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14685) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14686) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.74/2.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.74/2.12 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.74/2.12 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.74/2.12 (14687) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.74/2.12 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.74/2.12 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.74/2.12 ( X, U, U, W ), T, Z ) }.
% 1.74/2.12 (14688) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.74/2.12 (14689) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14690) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14691) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha12( X, Y, Z ) }.
% 1.74/2.12 (14692) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14693) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14694) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14695) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.74/2.12 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.74/2.12 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.74/2.12 ), U, T ) }.
% 1.74/2.12 (14696) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.74/2.12 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.74/2.12 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.74/2.12 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.74/2.12 (14697) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.74/2.12 (14698) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14699) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14700) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha22( X, Y, Z ) }.
% 1.74/2.12 (14701) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14702) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14703) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14704) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.74/2.12 , skol20( X, Y ) ) }.
% 1.74/2.12 (14705) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.74/2.12 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.74/2.12 }.
% 1.74/2.12 (14706) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.74/2.12 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.74/2.12 (14707) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.74/2.12 (14708) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14709) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14710) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha23( X, Y, Z ) }.
% 1.74/2.12 (14711) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14712) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14713) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14714) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.74/2.12 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.74/2.12 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.74/2.12 ), U, T ) }.
% 1.74/2.12 (14715) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.74/2.12 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.74/2.12 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.74/2.12 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.74/2.12 (14716) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.74/2.12 (14717) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14718) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14719) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha24( X, Y, Z ) }.
% 1.74/2.12 (14720) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14721) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14722) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14723) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.74/2.12 , skol22( X, Y ) ) }.
% 1.74/2.12 (14724) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.74/2.12 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.74/2.12 }.
% 1.74/2.12 (14725) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.74/2.12 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.74/2.12 (14726) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.74/2.12 (14727) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14728) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14729) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha25( X, Y, Z ) }.
% 1.74/2.12 (14730) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14731) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14732) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14733) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.74/2.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.74/2.12 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.74/2.12 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.74/2.12 (14734) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.74/2.12 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.74/2.12 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.74/2.12 ( X, trans( U ) ) ), T, Z ) }.
% 1.74/2.12 (14735) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.74/2.12 (14736) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14737) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14738) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha17( X, Y, Z ) }.
% 1.74/2.12 (14739) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14740) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14741) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14742) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.74/2.12 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.74/2.12 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.74/2.12 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.74/2.12 (14743) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.74/2.12 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.12 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.74/2.12 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.74/2.12 ( X, trans( W ) ) ), T, Z ) }.
% 1.74/2.12 (14744) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.74/2.12 (14745) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14746) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14747) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha18( X, Y, Z ) }.
% 1.74/2.12 (14748) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14749) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14750) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14751) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.74/2.12 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.74/2.12 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.74/2.12 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.74/2.12 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.74/2.12 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.74/2.12 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.74/2.12 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.74/2.12 (14752) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.74/2.12 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.74/2.12 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.74/2.12 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.74/2.12 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.74/2.12 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.74/2.12 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.74/2.12 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.74/2.12 ) ), W, U ) }.
% 1.74/2.12 (14753) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.74/2.12 (14754) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14755) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14756) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha29( X, Y, Z ) }.
% 1.74/2.12 (14757) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14758) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14759) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14760) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.74/2.12 ), skol26( X, Y ) ) }.
% 1.74/2.12 (14761) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.74/2.12 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.74/2.12 }.
% 1.74/2.12 (14762) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.74/2.12 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.74/2.12 (14763) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.74/2.12 (14764) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14765) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14766) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha30( X, Y, Z ) }.
% 1.74/2.12 (14767) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14768) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14769) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14770) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.74/2.12 skol27( X, Y ) ) }.
% 1.74/2.12 (14771) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.74/2.12 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.74/2.12 (14772) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.74/2.12 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.74/2.12 (14773) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.74/2.12 (14774) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.12 (14775) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.12 (14776) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.12 , X ), alpha28( X, Y, Z ) }.
% 1.74/2.12 (14777) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14778) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.74/2.12 (14779) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14780) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.74/2.12 (14781) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.74/2.12 }.
% 1.74/2.12 (14782) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.74/2.12 (14783) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.74/2.12 (14784) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.74/2.12 (14785) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.74/2.12 (14786) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.74/2.12 (14787) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.74/2.12 }.
% 1.74/2.12 (14788) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.74/2.12 }.
% 1.74/2.12 (14789) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.74/2.12 ) ) ) }.
% 1.74/2.12 (14790) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.74/2.12 ) ) ) }.
% 1.74/2.12 (14791) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.74/2.12 succ( X ) ) ) ) ) }.
% 1.74/2.12 (14792) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.74/2.12 succ( X ) ) ) ) ) }.
% 1.74/2.12 (14793) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.74/2.12 (14794) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.74/2.12 (14795) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.74/2.12 (14796) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.74/2.12 }.
% 1.74/2.12 (14797) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.74/2.12 }.
% 1.74/2.12 (14798) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.74/2.12 (14799) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.74/2.12 (14800) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.74/2.12 ) = T }.
% 1.74/2.12 (14801) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.74/2.12 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.74/2.12 (14802) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.74/2.12 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.74/2.12 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.74/2.12 (14803) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.74/2.12 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.74/2.12 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.74/2.12 (14804) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.74/2.12 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.74/2.12 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.74/2.12 (14805) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.74/2.12 (14806) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.74/2.12 (14807) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.74/2.12 , Y, Z ) }.
% 1.74/2.12 (14808) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.74/2.12 (14809) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.74/2.12 (14810) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.74/2.12 ) }.
% 1.74/2.12 (14811) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.74/2.12 }.
% 1.74/2.12 (14812) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.74/2.12 tptp_update2( Z, X, U ), Y ) = T }.
% 1.74/2.12 (14813) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.74/2.12 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.74/2.12 (14814) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.74/2.12 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.74/2.12 (14815) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.74/2.12 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.74/2.12 }.
% 1.74/2.12 (14816) {G0,W1,D1,L1,V0,M1} { true }.
% 1.74/2.12 (14817) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.74/2.12 (14818) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.74/2.12 (14819) {G0,W3,D2,L1,V0,M1} { leq( n0, pv52 ) }.
% 1.74/2.12 (14820) {G0,W3,D2,L1,V0,M1} { leq( n0, pv54 ) }.
% 1.74/2.12 (14821) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 1.74/2.12 (14822) {G0,W3,D2,L1,V0,M1} { leq( pv52, n4 ) }.
% 1.74/2.12 (14823) {G0,W3,D2,L1,V0,M1} { leq( pv54, n4 ) }.
% 1.74/2.12 (14824) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.74/2.12 (14825) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 1.74/2.12 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 1.74/2.12 (14826) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.74/2.12 rho_init, X ) = init }.
% 1.74/2.12 (14827) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.74/2.12 mu_init, X ) = init }.
% 1.74/2.12 (14828) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.74/2.12 sigma_init, X ) = init }.
% 1.74/2.12 (14829) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 1.74/2.12 center_init, X, n0 ) = init }.
% 1.74/2.12 (14830) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.74/2.12 leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 1.74/2.12 (14831) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.74/2.12 leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 1.74/2.12 (14832) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.74/2.12 leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 1.74/2.12 (14833) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.74/2.12 (14834) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.74/2.12 (14835) {G0,W5,D3,L1,V0,M1} { ! a_select2( muold_init, skol15 ) = init }.
% 1.74/2.12 (14836) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.74/2.12 (14837) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.74/2.12 (14838) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.74/2.12 (14839) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.74/2.12 (14840) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.74/2.12 (14841) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.74/2.12 (14842) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.74/2.12 (14843) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.74/2.12 (14844) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.74/2.12 (14845) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.74/2.12 (14846) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.74/2.12 (14847) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.74/2.12 (14848) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.74/2.12 (14849) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.74/2.12 (14850) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.74/2.12 (14851) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.74/2.12 (14852) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.74/2.12 (14853) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.74/2.12 (14854) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.74/2.12 (14855) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.74/2.14 (14856) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.74/2.14 (14857) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.74/2.14 (14858) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.74/2.14 (14859) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.74/2.14 (14860) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.74/2.14 (14861) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.74/2.14 (14862) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.74/2.14 (14863) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.74/2.14 (14864) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.74/2.14 n1, X = n2, X = n3, X = n4 }.
% 1.74/2.14 (14865) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.74/2.14 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.74/2.14 (14866) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.74/2.14 (14867) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.74/2.14 n1 }.
% 1.74/2.14 (14868) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.74/2.14 n1, X = n2 }.
% 1.74/2.14 (14869) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.74/2.14 n1, X = n2, X = n3 }.
% 1.74/2.14 (14870) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.74/2.14 (14871) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.74/2.14 n5 }.
% 1.74/2.14 (14872) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.74/2.14 (14873) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.74/2.14 (14874) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Total Proof:
% 1.74/2.14
% 1.74/2.14 subsumption: (177) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.74/2.14 parent0: (14824) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 *** allocated 576640 integers for termspace/termends
% 1.74/2.14 resolution: (15941) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 )
% 1.74/2.14 , a_select2( muold_init, X ) = init }.
% 1.74/2.14 parent0[0]: (14830) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq
% 1.74/2.14 ( n0, X ), ! leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 1.74/2.14 parent1[0]: (177) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 end
% 1.74/2.14 substitution1:
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (183) {G1,W11,D3,L3,V1,M3} I;r(177) { ! leq( n0, X ), ! leq( X
% 1.74/2.14 , n4 ), a_select2( muold_init, X ) ==> init }.
% 1.74/2.14 parent0: (15941) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ),
% 1.74/2.14 a_select2( muold_init, X ) = init }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 1 ==> 1
% 1.74/2.14 2 ==> 2
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (186) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.74/2.14 parent0: (14833) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (187) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.74/2.14 parent0: (14834) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (188) {G0,W5,D3,L1,V0,M1} I { ! a_select2( muold_init, skol15
% 1.74/2.14 ) ==> init }.
% 1.74/2.14 parent0: (14835) {G0,W5,D3,L1,V0,M1} { ! a_select2( muold_init, skol15 ) =
% 1.74/2.14 init }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 eqswap: (17567) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( muold_init, X )
% 1.74/2.14 , ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.74/2.14 parent0[2]: (183) {G1,W11,D3,L3,V1,M3} I;r(177) { ! leq( n0, X ), ! leq( X
% 1.74/2.14 , n4 ), a_select2( muold_init, X ) ==> init }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := X
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 resolution: (17568) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( muold_init,
% 1.74/2.14 skol15 ), ! leq( skol15, n4 ) }.
% 1.74/2.14 parent0[1]: (17567) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( muold_init
% 1.74/2.14 , X ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.74/2.14 parent1[0]: (186) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 X := skol15
% 1.74/2.14 end
% 1.74/2.14 substitution1:
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 resolution: (17569) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( muold_init,
% 1.74/2.14 skol15 ) }.
% 1.74/2.14 parent0[1]: (17568) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( muold_init,
% 1.74/2.14 skol15 ), ! leq( skol15, n4 ) }.
% 1.74/2.14 parent1[0]: (187) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 substitution1:
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 eqswap: (17570) {G1,W5,D3,L1,V0,M1} { a_select2( muold_init, skol15 ) ==>
% 1.74/2.14 init }.
% 1.74/2.14 parent0[0]: (17569) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( muold_init,
% 1.74/2.14 skol15 ) }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (14354) {G2,W5,D3,L1,V0,M1} R(183,186);r(187) { a_select2(
% 1.74/2.14 muold_init, skol15 ) ==> init }.
% 1.74/2.14 parent0: (17570) {G1,W5,D3,L1,V0,M1} { a_select2( muold_init, skol15 ) ==>
% 1.74/2.14 init }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 0 ==> 0
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 paramod: (17573) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.74/2.14 parent0[0]: (14354) {G2,W5,D3,L1,V0,M1} R(183,186);r(187) { a_select2(
% 1.74/2.14 muold_init, skol15 ) ==> init }.
% 1.74/2.14 parent1[0; 2]: (188) {G0,W5,D3,L1,V0,M1} I { ! a_select2( muold_init,
% 1.74/2.14 skol15 ) ==> init }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 substitution1:
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 eqrefl: (17574) {G0,W0,D0,L0,V0,M0} { }.
% 1.74/2.14 parent0[0]: (17573) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 subsumption: (14645) {G3,W0,D0,L0,V0,M0} S(188);d(14354);q { }.
% 1.74/2.14 parent0: (17574) {G0,W0,D0,L0,V0,M0} { }.
% 1.74/2.14 substitution0:
% 1.74/2.14 end
% 1.74/2.14 permutation0:
% 1.74/2.14 end
% 1.74/2.14
% 1.74/2.14 Proof check complete!
% 1.74/2.14
% 1.74/2.14 Memory use:
% 1.74/2.14
% 1.74/2.14 space for terms: 355812
% 1.74/2.14 space for clauses: 654069
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 clauses generated: 49331
% 1.74/2.14 clauses kept: 14646
% 1.74/2.14 clauses selected: 873
% 1.74/2.14 clauses deleted: 9
% 1.74/2.14 clauses inuse deleted: 6
% 1.74/2.14
% 1.74/2.14 subsentry: 195179
% 1.74/2.14 literals s-matched: 67939
% 1.74/2.14 literals matched: 55826
% 1.74/2.14 full subsumption: 40028
% 1.74/2.14
% 1.74/2.14 checksum: -677008204
% 1.74/2.14
% 1.74/2.14
% 1.74/2.14 Bliksem ended
%------------------------------------------------------------------------------