TSTP Solution File: SWV181+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV181+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:50 EDT 2022
% Result : Theorem 0.80s 1.31s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV181+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Wed Jun 15 07:58:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.80/1.16 *** allocated 10000 integers for termspace/termends
% 0.80/1.16 *** allocated 10000 integers for clauses
% 0.80/1.16 *** allocated 10000 integers for justifications
% 0.80/1.16 Bliksem 1.12
% 0.80/1.16
% 0.80/1.16
% 0.80/1.16 Automatic Strategy Selection
% 0.80/1.16
% 0.80/1.16 *** allocated 15000 integers for termspace/termends
% 0.80/1.16
% 0.80/1.16 Clauses:
% 0.80/1.16
% 0.80/1.16 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.16 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.80/1.16 { ! gt( X, X ) }.
% 0.80/1.16 { leq( X, X ) }.
% 0.80/1.16 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.80/1.16 { ! lt( X, Y ), gt( Y, X ) }.
% 0.80/1.16 { ! gt( Y, X ), lt( X, Y ) }.
% 0.80/1.16 { ! geq( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( Y, X ), geq( X, Y ) }.
% 0.80/1.16 { ! gt( Y, X ), leq( X, Y ) }.
% 0.80/1.16 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.80/1.16 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.80/1.16 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.80/1.16 { gt( succ( X ), X ) }.
% 0.80/1.16 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.80/1.16 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.80/1.16 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.80/1.16 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.80/1.16 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.80/1.16 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.80/1.16 T ), X ) = T }.
% 0.80/1.16 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.80/1.16 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.80/1.16 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.80/1.16 a_select3( trans( X ), T, Z ) }.
% 0.80/1.16 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.80/1.16 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.16 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.80/1.16 ) }.
% 0.80/1.16 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.80/1.16 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.80/1.16 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.80/1.16 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.80/1.16 a_select3( inv( X ), T, Z ) }.
% 0.80/1.16 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.80/1.16 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.16 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.80/1.16 .
% 0.80/1.16 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.80/1.16 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.80/1.16 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.80/1.16 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.16 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.80/1.16 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.80/1.16 X, U, U, W ), T, Z ) }.
% 0.80/1.16 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.80/1.16 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.16 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.80/1.16 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.80/1.16 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.80/1.16 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.80/1.16 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.80/1.16 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.80/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.80/1.16 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.16 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.80/1.16 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.80/1.16 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.16 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.80/1.16 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.80/1.16 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.80/1.16 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.80/1.16 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.80/1.16 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.80/1.16 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.80/1.16 ( X, Y ) }.
% 0.80/1.16 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.80/1.16 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.80/1.16 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.80/1.16 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.80/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.80/1.16 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.16 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.80/1.16 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.80/1.16 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.16 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.80/1.16 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.80/1.16 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.80/1.16 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.80/1.16 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.80/1.16 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.80/1.16 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.80/1.16 ( X, Y ) }.
% 0.80/1.16 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.80/1.16 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.80/1.16 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.80/1.16 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.80/1.16 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.80/1.16 U ) ) ), T, Z ) }.
% 0.80/1.16 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.80/1.16 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.16 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.80/1.16 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.80/1.16 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.80/1.16 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.80/1.16 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.80/1.16 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.80/1.16 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.80/1.16 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.80/1.16 W ) ) ), T, Z ) }.
% 0.80/1.16 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.80/1.16 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.80/1.16 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.80/1.16 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.80/1.16 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.80/1.16 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.80/1.16 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.80/1.16 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.80/1.16 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.80/1.16 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.80/1.16 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.80/1.16 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.80/1.16 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.80/1.16 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.80/1.16 ) }.
% 0.80/1.16 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.80/1.16 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.80/1.16 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.80/1.16 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.80/1.16 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.80/1.16 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.80/1.16 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.80/1.16 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.80/1.16 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.80/1.16 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.80/1.16 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.80/1.16 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.80/1.16 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.80/1.16 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.80/1.16 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.80/1.16 alpha19( X, Y ) }.
% 0.80/1.16 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.80/1.16 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.80/1.16 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.80/1.16 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.80/1.16 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.80/1.16 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.80/1.16 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.80/1.16 ), alpha8( X ) }.
% 0.80/1.16 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.80/1.16 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.16 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.16 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.80/1.16 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.80/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.80/1.16 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.80/1.16 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.80/1.16 { succ( tptp_minus_1 ) = n0 }.
% 0.80/1.16 { plus( X, n1 ) = succ( X ) }.
% 0.80/1.16 { plus( n1, X ) = succ( X ) }.
% 0.80/1.16 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.80/1.16 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.80/1.16 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.16 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.16 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.16 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.16 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.16 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.16 { minus( X, n1 ) = pred( X ) }.
% 0.80/1.16 { pred( succ( X ) ) = X }.
% 0.80/1.16 { succ( pred( X ) ) = X }.
% 0.80/1.16 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.80/1.16 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.80/1.16 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.80/1.16 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.80/1.16 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.80/1.16 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.80/1.16 , Y, V0 ), Z, T ) = W }.
% 0.80/1.16 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.80/1.16 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.80/1.16 }.
% 0.80/1.16 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.80/1.16 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.80/1.16 U, Z, T, W ), X, Y ) = W }.
% 0.80/1.16 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.80/1.16 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.80/1.16 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.80/1.16 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.80/1.16 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.80/1.16 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.80/1.16 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.80/1.16 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.80/1.16 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.80/1.16 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.80/1.16 T }.
% 0.80/1.16 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.16 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.16 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.80/1.16 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.16 { true }.
% 0.80/1.16 { ! def = use }.
% 0.80/1.16 { leq( tptp_float_0_001, pv76 ) }.
% 0.80/1.16 { leq( n1, loopcounter ) }.
% 0.80/1.16 { gt( n1, loopcounter ) }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.80/1.16 a_select3( q_init, X, Y ) = init }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.80/1.16 .
% 0.80/1.16 { ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.80/1.16 mu_init, X ) = init }.
% 0.80/1.16 { ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.80/1.16 rho_init, X ) = init }.
% 0.80/1.16 { ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.80/1.16 sigma_init, X ) = init }.
% 0.80/1.16 { leq( n0, skol15 ) }.
% 0.80/1.16 { leq( skol15, n4 ) }.
% 0.80/1.16 { ! a_select2( muold_init, skol15 ) = init }.
% 0.80/1.16 { gt( n5, n4 ) }.
% 0.80/1.16 { gt( n135299, n4 ) }.
% 0.80/1.16 { gt( n135299, n5 ) }.
% 0.80/1.16 { gt( n4, tptp_minus_1 ) }.
% 0.80/1.16 { gt( n5, tptp_minus_1 ) }.
% 0.80/1.16 { gt( n135299, tptp_minus_1 ) }.
% 0.80/1.16 { gt( n0, tptp_minus_1 ) }.
% 0.80/1.16 { gt( n1, tptp_minus_1 ) }.
% 0.80/1.16 { gt( n2, tptp_minus_1 ) }.
% 0.80/1.16 { gt( n3, tptp_minus_1 ) }.
% 0.80/1.16 { gt( n4, n0 ) }.
% 0.80/1.16 { gt( n5, n0 ) }.
% 0.80/1.16 { gt( n135299, n0 ) }.
% 0.80/1.16 { gt( n1, n0 ) }.
% 0.80/1.16 { gt( n2, n0 ) }.
% 0.80/1.16 { gt( n3, n0 ) }.
% 0.80/1.16 { gt( n4, n1 ) }.
% 0.80/1.16 { gt( n5, n1 ) }.
% 0.80/1.16 { gt( n135299, n1 ) }.
% 0.80/1.16 { gt( n2, n1 ) }.
% 0.80/1.16 { gt( n3, n1 ) }.
% 0.80/1.16 { gt( n4, n2 ) }.
% 0.80/1.16 { gt( n5, n2 ) }.
% 0.80/1.16 { gt( n135299, n2 ) }.
% 0.80/1.16 { gt( n3, n2 ) }.
% 0.80/1.16 { gt( n4, n3 ) }.
% 0.80/1.16 { gt( n5, n3 ) }.
% 0.80/1.16 { gt( n135299, n3 ) }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.80/1.16 .
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.80/1.16 = n5 }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.80/1.16 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.80/1.16 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.80/1.16 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.80/1.16 { succ( n0 ) = n1 }.
% 0.80/1.16 { succ( succ( n0 ) ) = n2 }.
% 0.80/1.16 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.80/1.16
% 0.80/1.16 percentage equality = 0.182796, percentage horn = 0.873303
% 0.80/1.16 This is a problem with some equality
% 0.80/1.16
% 0.80/1.16
% 0.80/1.16
% 0.80/1.16 Options Used:
% 0.80/1.16
% 0.80/1.16 useres = 1
% 0.80/1.16 useparamod = 1
% 0.80/1.16 useeqrefl = 1
% 0.80/1.16 useeqfact = 1
% 0.80/1.16 usefactor = 1
% 0.80/1.16 usesimpsplitting = 0
% 0.80/1.16 usesimpdemod = 5
% 0.80/1.16 usesimpres = 3
% 0.80/1.16
% 0.80/1.16 resimpinuse = 1000
% 0.80/1.16 resimpclauses = 20000
% 0.80/1.16 substype = eqrewr
% 0.80/1.16 backwardsubs = 1
% 0.80/1.16 selectoldest = 5
% 0.80/1.16
% 0.80/1.16 litorderings [0] = split
% 0.80/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.16
% 0.80/1.16 termordering = kbo
% 0.80/1.16
% 0.80/1.16 litapriori = 0
% 0.80/1.16 termapriori = 1
% 0.80/1.16 litaposteriori = 0
% 0.80/1.16 termaposteriori = 0
% 0.80/1.16 demodaposteriori = 0
% 0.80/1.16 ordereqreflfact = 0
% 0.80/1.16
% 0.80/1.16 litselect = negord
% 0.80/1.16
% 0.80/1.16 maxweight = 15
% 0.80/1.16 maxdepth = 30000
% 0.80/1.16 maxlength = 115
% 0.80/1.16 maxnrvars = 195
% 0.80/1.16 excuselevel = 1
% 0.80/1.16 increasemaxweight = 1
% 0.80/1.16
% 0.80/1.16 maxselected = 10000000
% 0.80/1.16 maxnrclauses = 10000000
% 0.80/1.16
% 0.80/1.16 showgenerated = 0
% 0.80/1.16 showkept = 0
% 0.80/1.16 showselected = 0
% 0.80/1.16 showdeleted = 0
% 0.80/1.16 showresimp = 1
% 0.80/1.16 showstatus = 2000
% 0.80/1.16
% 0.80/1.16 prologoutput = 0
% 0.80/1.16 nrgoals = 5000000
% 0.80/1.16 totalproof = 1
% 0.80/1.16
% 0.80/1.16 Symbols occurring in the translation:
% 0.80/1.16
% 0.80/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.16 . [1, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.80/1.16 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 0.80/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.16 gt [37, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.80/1.16 leq [39, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.80/1.16 lt [40, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.80/1.16 geq [41, 2] (w:1, o:95, a:1, s:1, b:0),
% 0.80/1.16 pred [42, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.80/1.31 succ [43, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.80/1.31 n0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.80/1.31 uniform_int_rnd [46, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.80/1.31 dim [51, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.80/1.31 tptp_const_array1 [52, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.80/1.31 a_select2 [53, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.80/1.31 tptp_const_array2 [59, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.80/1.31 a_select3 [60, 3] (w:1, o:148, a:1, s:1, b:0),
% 0.80/1.31 trans [63, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.80/1.31 inv [64, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.80/1.31 tptp_update3 [67, 4] (w:1, o:165, a:1, s:1, b:0),
% 0.80/1.31 tptp_madd [69, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.80/1.31 tptp_msub [70, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.80/1.31 tptp_mmul [71, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.80/1.31 tptp_minus_1 [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.80/1.31 sum [78, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.80/1.31 tptp_float_0_0 [79, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.80/1.31 n1 [80, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.80/1.31 plus [81, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.80/1.31 n2 [82, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.80/1.31 n3 [83, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.80/1.31 n4 [84, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.80/1.31 n5 [85, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.80/1.31 minus [86, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.80/1.31 tptp_update2 [91, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.80/1.31 true [92, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.80/1.31 def [93, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.80/1.31 use [94, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.80/1.31 tptp_float_0_001 [95, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.80/1.31 pv76 [96, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.80/1.31 loopcounter [97, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.80/1.31 n135299 [98, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.80/1.31 q_init [99, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.80/1.31 init [100, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.80/1.31 center_init [101, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.80/1.31 mu_init [102, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.80/1.31 rho_init [103, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.80/1.31 sigma_init [104, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.80/1.31 muold_init [106, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.80/1.31 alpha1 [107, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.80/1.31 alpha2 [108, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.80/1.31 alpha3 [109, 2] (w:1, o:139, a:1, s:1, b:1),
% 0.80/1.31 alpha4 [110, 2] (w:1, o:140, a:1, s:1, b:1),
% 0.80/1.31 alpha5 [111, 2] (w:1, o:141, a:1, s:1, b:1),
% 0.80/1.31 alpha6 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 0.80/1.31 alpha7 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 0.80/1.31 alpha8 [114, 1] (w:1, o:67, a:1, s:1, b:1),
% 0.80/1.31 alpha9 [115, 2] (w:1, o:144, a:1, s:1, b:1),
% 0.80/1.31 alpha10 [116, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.80/1.31 alpha11 [117, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.80/1.31 alpha12 [118, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.80/1.31 alpha13 [119, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.80/1.31 alpha14 [120, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.80/1.31 alpha15 [121, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.80/1.31 alpha16 [122, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.80/1.31 alpha17 [123, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.80/1.31 alpha18 [124, 3] (w:1, o:154, a:1, s:1, b:1),
% 0.80/1.31 alpha19 [125, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.80/1.31 alpha20 [126, 2] (w:1, o:136, a:1, s:1, b:1),
% 0.80/1.31 alpha21 [127, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.80/1.31 alpha22 [128, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.80/1.31 alpha23 [129, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.80/1.31 alpha24 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 0.80/1.31 alpha25 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 0.80/1.31 alpha26 [132, 2] (w:1, o:137, a:1, s:1, b:1),
% 0.80/1.31 alpha27 [133, 2] (w:1, o:138, a:1, s:1, b:1),
% 0.80/1.31 alpha28 [134, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.80/1.31 alpha29 [135, 3] (w:1, o:161, a:1, s:1, b:1),
% 0.80/1.31 alpha30 [136, 3] (w:1, o:162, a:1, s:1, b:1),
% 0.80/1.31 skol1 [137, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.80/1.31 skol2 [138, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.80/1.31 skol3 [139, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.80/1.31 skol4 [140, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.80/1.31 skol5 [141, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.80/1.31 skol6 [142, 2] (w:1, o:116, a:1, s:1, b:1),
% 0.80/1.31 skol7 [143, 2] (w:1, o:117, a:1, s:1, b:1),
% 0.80/1.31 skol8 [144, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.80/1.31 skol9 [145, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.80/1.31 skol10 [146, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.80/1.31 skol11 [147, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.80/1.31 skol12 [148, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.80/1.31 skol13 [149, 4] (w:1, o:163, a:1, s:1, b:1),
% 0.80/1.31 skol14 [150, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.80/1.31 skol15 [151, 0] (w:1, o:35, a:1, s:1, b:1),
% 0.80/1.31 skol16 [152, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.80/1.31 skol17 [153, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.80/1.31 skol18 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.80/1.31 skol19 [155, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.80/1.31 skol20 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.80/1.31 skol21 [157, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.80/1.31 skol22 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.80/1.31 skol23 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.80/1.31 skol24 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.80/1.31 skol25 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.80/1.31 skol26 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.80/1.31 skol27 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.80/1.31 skol28 [164, 4] (w:1, o:164, a:1, s:1, b:1),
% 0.80/1.31 skol29 [165, 1] (w:1, o:64, a:1, s:1, b:1).
% 0.80/1.31
% 0.80/1.31
% 0.80/1.31 Starting Search:
% 0.80/1.31
% 0.80/1.31 *** allocated 15000 integers for clauses
% 0.80/1.31 *** allocated 22500 integers for clauses
% 0.80/1.31 *** allocated 33750 integers for clauses
% 0.80/1.31 *** allocated 22500 integers for termspace/termends
% 0.80/1.31 *** allocated 50625 integers for clauses
% 0.80/1.31 *** allocated 75937 integers for clauses
% 0.80/1.31 Resimplifying inuse:
% 0.80/1.31 Done
% 0.80/1.31
% 0.80/1.31 *** allocated 33750 integers for termspace/termends
% 0.80/1.31 *** allocated 113905 integers for clauses
% 0.80/1.31 *** allocated 50625 integers for termspace/termends
% 0.80/1.31
% 0.80/1.31 Intermediate Status:
% 0.80/1.31 Generated: 7962
% 0.80/1.31 Kept: 2042
% 0.80/1.31 Inuse: 171
% 0.80/1.31 Deleted: 0
% 0.80/1.31 Deletedinuse: 0
% 0.80/1.31
% 0.80/1.31 Resimplifying inuse:
% 0.80/1.31 Done
% 0.80/1.31
% 0.80/1.31 *** allocated 170857 integers for clauses
% 0.80/1.31 *** allocated 75937 integers for termspace/termends
% 0.80/1.31
% 0.80/1.31 Bliksems!, er is een bewijs:
% 0.80/1.31 % SZS status Theorem
% 0.80/1.31 % SZS output start Refutation
% 0.80/1.31
% 0.80/1.31 (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.31 (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.80/1.31 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 0.80/1.31 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.80/1.31 (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 0.80/1.31 (173) {G0,W3,D2,L1,V0,M1} I { gt( n1, loopcounter ) }.
% 0.80/1.31 (2155) {G1,W6,D2,L2,V1,M2} R(173,1) { ! gt( X, n1 ), gt( X, loopcounter )
% 0.80/1.31 }.
% 0.80/1.31 (2156) {G2,W6,D2,L2,V1,M2} P(10,173);r(2155) { gt( X, loopcounter ), ! leq
% 0.80/1.31 ( n1, X ) }.
% 0.80/1.31 (2729) {G3,W6,D2,L2,V1,M2} P(0,172);r(2156) { gt( loopcounter, X ), gt( X,
% 0.80/1.31 loopcounter ) }.
% 0.80/1.31 (2730) {G4,W0,D0,L0,V0,M0} F(2729);r(2) { }.
% 0.80/1.31
% 0.80/1.31
% 0.80/1.31 % SZS output end Refutation
% 0.80/1.31 found a proof!
% 0.80/1.31
% 0.80/1.31
% 0.80/1.31 Unprocessed initial clauses:
% 0.80/1.31
% 0.80/1.31 (2732) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.31 (2733) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.80/1.31 (2734) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.80/1.31 (2735) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.80/1.31 (2736) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.80/1.31 (2737) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.80/1.31 (2738) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.80/1.31 (2739) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2740) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.80/1.31 (2741) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.80/1.31 (2742) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.80/1.31 (2743) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.80/1.31 (2744) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.80/1.31 (2745) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.80/1.31 (2746) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.80/1.31 (2747) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.80/1.31 (2748) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.80/1.31 (2749) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 0.80/1.31 , X ) }.
% 0.80/1.31 (2750) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y,
% 0.80/1.31 X ) ) }.
% 0.80/1.31 (2751) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.80/1.31 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.80/1.31 (2752) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 0.80/1.31 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 0.80/1.31 V0 ), X, T ) = V0 }.
% 0.80/1.31 (2753) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 0.80/1.31 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.80/1.31 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.80/1.31 (2754) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 0.80/1.31 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 0.80/1.31 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 0.80/1.31 = a_select3( trans( X ), T, Z ) }.
% 0.80/1.31 (2755) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.80/1.31 (2756) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2757) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2758) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.80/1.31 X ), alpha10( X, Y, Z ) }.
% 0.80/1.31 (2759) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2760) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2761) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.80/1.31 }.
% 0.80/1.31 (2762) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 0.80/1.31 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.80/1.31 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.80/1.31 (2763) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 0.80/1.31 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 0.80/1.31 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.80/1.31 a_select3( inv( X ), T, Z ) }.
% 0.80/1.31 (2764) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.80/1.31 (2765) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2766) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2767) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.80/1.31 X ), alpha11( X, Y, Z ) }.
% 0.80/1.31 (2768) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2769) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2770) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.80/1.31 }.
% 0.80/1.31 (2771) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 0.80/1.31 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 0.80/1.31 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.80/1.31 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.80/1.31 (2772) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 0.80/1.31 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 0.80/1.31 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 0.80/1.31 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 0.80/1.31 ( X, U, U, W ), T, Z ) }.
% 0.80/1.31 (2773) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.80/1.31 (2774) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2775) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2776) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.80/1.31 X ), alpha12( X, Y, Z ) }.
% 0.80/1.31 (2777) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2778) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2779) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.80/1.31 }.
% 0.80/1.31 (2780) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.80/1.31 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.80/1.31 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.80/1.31 ), U, T ) }.
% 0.80/1.31 (2781) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 0.80/1.31 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 0.80/1.31 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.80/1.31 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.31 (2782) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.80/1.31 (2783) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2784) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2785) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.80/1.31 , X ), alpha22( X, Y, Z ) }.
% 0.80/1.31 (2786) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2787) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2788) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2789) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 0.80/1.31 , skol20( X, Y ) ) }.
% 0.80/1.31 (2790) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X,
% 0.80/1.31 Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.80/1.31 (2791) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.80/1.31 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.80/1.31 (2792) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.80/1.31 (2793) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2794) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2795) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.80/1.31 , X ), alpha23( X, Y, Z ) }.
% 0.80/1.31 (2796) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2797) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2798) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2799) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.80/1.31 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.80/1.31 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.80/1.31 ), U, T ) }.
% 0.80/1.31 (2800) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 0.80/1.31 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 0.80/1.31 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.80/1.31 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.31 (2801) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.80/1.31 (2802) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2803) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2804) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.80/1.31 , X ), alpha24( X, Y, Z ) }.
% 0.80/1.31 (2805) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2806) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2807) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2808) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 0.80/1.31 , skol22( X, Y ) ) }.
% 0.80/1.31 (2809) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X,
% 0.80/1.31 Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.80/1.31 (2810) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.80/1.31 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.80/1.31 (2811) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.80/1.31 (2812) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2813) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2814) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.80/1.31 , X ), alpha25( X, Y, Z ) }.
% 0.80/1.31 (2815) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2816) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2817) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2818) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 0.80/1.31 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.80/1.31 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 0.80/1.31 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.80/1.31 (2819) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 0.80/1.31 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 0.80/1.31 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.80/1.31 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.80/1.31 ( X, trans( U ) ) ), T, Z ) }.
% 0.80/1.31 (2820) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.80/1.31 (2821) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2822) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2823) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.80/1.31 X ), alpha17( X, Y, Z ) }.
% 0.80/1.31 (2824) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2825) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2826) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.80/1.31 }.
% 0.80/1.31 (2827) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 0.80/1.31 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 0.80/1.31 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 0.80/1.31 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.80/1.31 (2828) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 0.80/1.31 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 0.80/1.31 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.80/1.31 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.80/1.31 ( X, trans( W ) ) ), T, Z ) }.
% 0.80/1.31 (2829) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.80/1.31 (2830) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2831) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2832) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.80/1.31 X ), alpha18( X, Y, Z ) }.
% 0.80/1.31 (2833) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2834) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2835) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.80/1.31 }.
% 0.80/1.31 (2836) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.80/1.31 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.80/1.31 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.80/1.31 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.80/1.31 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.80/1.31 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.80/1.31 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.80/1.31 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.80/1.31 (2837) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3(
% 0.80/1.31 Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 0.80/1.31 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 0.80/1.31 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 0.80/1.31 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 0.80/1.31 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 0.80/1.31 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 0.80/1.31 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 0.80/1.31 ) ), W, U ) }.
% 0.80/1.31 (2838) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.80/1.31 (2839) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2840) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2841) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.80/1.31 , X ), alpha29( X, Y, Z ) }.
% 0.80/1.31 (2842) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2843) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2844) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2845) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 0.80/1.31 ), skol26( X, Y ) ) }.
% 0.80/1.31 (2846) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.80/1.31 , Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 0.80/1.31 }.
% 0.80/1.31 (2847) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.80/1.31 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.80/1.31 (2848) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.80/1.31 (2849) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2850) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2851) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.80/1.31 , X ), alpha30( X, Y, Z ) }.
% 0.80/1.31 (2852) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2853) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2854) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2855) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.80/1.31 skol27( X, Y ) ) }.
% 0.80/1.31 (2856) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 0.80/1.31 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.80/1.31 (2857) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3( X
% 0.80/1.31 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.80/1.31 (2858) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.80/1.31 (2859) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.31 (2860) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.31 (2861) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.80/1.31 , X ), alpha28( X, Y, Z ) }.
% 0.80/1.31 (2862) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2863) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.80/1.31 (2864) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2865) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.80/1.31 (2866) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.80/1.31 }.
% 0.80/1.31 (2867) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.80/1.31 (2868) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.80/1.31 (2869) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.80/1.31 (2870) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.80/1.31 (2871) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.80/1.31 (2872) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.31 (2873) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.31 (2874) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.80/1.31 ) ) }.
% 0.80/1.31 (2875) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.80/1.31 ) ) }.
% 0.80/1.31 (2876) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.80/1.31 ( X ) ) ) ) ) }.
% 0.80/1.31 (2877) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.80/1.31 ( X ) ) ) ) ) }.
% 0.80/1.31 (2878) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.80/1.31 (2879) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.80/1.31 (2880) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.80/1.31 (2881) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 0.80/1.31 }.
% 0.80/1.31 (2882) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 0.80/1.31 }.
% 0.80/1.31 (2883) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.80/1.31 (2884) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.80/1.31 (2885) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 0.80/1.31 ) = T }.
% 0.80/1.31 (2886) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.80/1.31 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.80/1.31 (2887) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0
% 0.80/1.31 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.80/1.31 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.80/1.31 (2888) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 0.80/1.31 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 0.80/1.31 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.80/1.31 (2889) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol28
% 0.80/1.31 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.80/1.31 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.80/1.31 (2890) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.80/1.31 (2891) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.80/1.31 (2892) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 0.80/1.31 , Y, Z ) }.
% 0.80/1.31 (2893) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.80/1.31 (2894) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.80/1.31 (2895) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 0.80/1.31 ) }.
% 0.80/1.31 (2896) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.80/1.31 }.
% 0.80/1.31 (2897) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.80/1.31 tptp_update2( Z, X, U ), Y ) = T }.
% 0.80/1.31 (2898) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 0.80/1.31 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.31 (2899) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 0.80/1.31 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.31 (2900) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.80/1.31 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.80/1.31 }.
% 0.80/1.31 (2901) {G0,W1,D1,L1,V0,M1} { true }.
% 0.80/1.31 (2902) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.80/1.31 (2903) {G0,W3,D2,L1,V0,M1} { leq( tptp_float_0_001, pv76 ) }.
% 0.80/1.31 (2904) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 0.80/1.31 (2905) {G0,W3,D2,L1,V0,M1} { gt( n1, loopcounter ) }.
% 0.80/1.31 (2906) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq(
% 0.80/1.31 n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 0.80/1.32 (2907) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 0.80/1.32 center_init, X, n0 ) = init }.
% 0.80/1.32 (2908) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n0 ), ! leq( n0, X ), !
% 0.80/1.32 leq( X, n4 ), a_select2( mu_init, X ) = init }.
% 0.80/1.32 (2909) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n0 ), ! leq( n0, X ), !
% 0.80/1.32 leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.80/1.32 (2910) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n0 ), ! leq( n0, X ), !
% 0.80/1.32 leq( X, n4 ), a_select2( sigma_init, X ) = init }.
% 0.80/1.32 (2911) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 0.80/1.32 (2912) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 0.80/1.32 (2913) {G0,W5,D3,L1,V0,M1} { ! a_select2( muold_init, skol15 ) = init }.
% 0.80/1.32 (2914) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.80/1.32 (2915) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 0.80/1.32 (2916) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 0.80/1.32 (2917) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.80/1.32 (2918) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.80/1.32 (2919) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 0.80/1.32 (2920) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.80/1.32 (2921) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.80/1.32 (2922) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.80/1.32 (2923) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.80/1.32 (2924) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.80/1.32 (2925) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.80/1.32 (2926) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 0.80/1.32 (2927) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.80/1.32 (2928) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.80/1.32 (2929) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.80/1.32 (2930) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.80/1.32 (2931) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.80/1.32 (2932) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 0.80/1.32 (2933) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.80/1.32 (2934) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.80/1.32 (2935) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.80/1.32 (2936) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.80/1.32 (2937) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 0.80/1.32 (2938) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.80/1.32 (2939) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.80/1.32 (2940) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.80/1.32 (2941) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 0.80/1.32 (2942) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.80/1.32 n1, X = n2, X = n3, X = n4 }.
% 0.80/1.32 (2943) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.80/1.32 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.80/1.32 (2944) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.80/1.32 (2945) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.80/1.32 n1 }.
% 0.80/1.32 (2946) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.80/1.32 n1, X = n2 }.
% 0.80/1.32 (2947) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.80/1.32 n1, X = n2, X = n3 }.
% 0.80/1.32 (2948) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.80/1.32 (2949) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.80/1.32 n5 }.
% 0.80/1.32 (2950) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.80/1.32 (2951) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.80/1.32 (2952) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.80/1.32
% 0.80/1.32
% 0.80/1.32 Total Proof:
% 0.80/1.32
% 0.80/1.32 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.32 parent0: (2732) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.32 substitution0:
% 0.80/1.32 X := X
% 0.80/1.32 Y := Y
% 0.80/1.32 end
% 0.80/1.32 permutation0:
% 0.80/1.32 0 ==> 0
% 0.80/1.32 1 ==> 1
% 0.80/1.32 2 ==> 2
% 0.80/1.32 end
% 0.80/1.32
% 0.80/1.32 subsumption: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X
% 0.80/1.32 , Y ) }.
% 0.80/1.32 parent0: (2733) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y
% 0.80/1.32 ) }.
% 0.80/1.32 substitution0:
% 0.80/1.32 X := X
% 0.80/1.32 Y := Y
% 0.80/1.32 Z := Z
% 0.80/1.32 end
% 0.80/1.32 permutation0:
% 0.80/1.32 0 ==> 0
% 0.80/1.32 1 ==> 1
% 0.80/1.32 2 ==> 2
% 0.80/1.32 end
% 0.80/1.32
% 0.80/1.32 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 0.80/1.32 parent0: (2734) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.80/1.32 substitution0:
% 0.80/1.32 X := X
% 0.80/1.32 end
% 0.80/1.32 permutation0:
% 0.80/1.32 0 ==> 0
% 0.80/1.32 end
% 0.80/1.32
% 0.80/1.32 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 0.80/1.32 }.
% 0.80/1.32 parent0: (2742) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.80/1.32 substitution0:
% 0.80/1.32 X := X
% 0.80/1.32 Y := Y
% 0.80/1.32 end
% 0.80/1.32 permutation0:
% 0.80/1.32 0 ==> 0
% 0.80/1.32 1 ==> 1
% 0.80/1.32 2 ==> 2
% 0.80/1.32 end
% 0.80/1.32
% 0.80/1.32 *** allocated 113905 integers for termspace/termends
% 0.80/1.32 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 0.80/1.32 parent0: (2904) {G0,W3,D2,LCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------