%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV179+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:50 EDT 2022
% Result : Theorem 1.77s 2.17s
% Output : Refutation 1.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV179+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n012.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 20:53:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.73/1.14 *** allocated 10000 integers for termspace/termends
% 0.73/1.14 *** allocated 10000 integers for clauses
% 0.73/1.14 *** allocated 10000 integers for justifications
% 0.73/1.14 Bliksem 1.12
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Automatic Strategy Selection
% 0.73/1.14
% 0.73/1.14 *** allocated 15000 integers for termspace/termends
% 0.73/1.14
% 0.73/1.14 Clauses:
% 0.73/1.14
% 0.73/1.14 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.73/1.14 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.73/1.14 { ! gt( X, X ) }.
% 0.73/1.14 { leq( X, X ) }.
% 0.73/1.14 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.73/1.14 { ! lt( X, Y ), gt( Y, X ) }.
% 0.73/1.14 { ! gt( Y, X ), lt( X, Y ) }.
% 0.73/1.14 { ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.14 { ! gt( Y, X ), leq( X, Y ) }.
% 0.73/1.14 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.73/1.14 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.73/1.14 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.73/1.14 { gt( succ( X ), X ) }.
% 0.73/1.14 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.73/1.14 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.73/1.14 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.73/1.14 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.73/1.14 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.73/1.14 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.73/1.14 T ), X ) = T }.
% 0.73/1.14 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.73/1.14 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.73/1.14 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.73/1.14 a_select3( trans( X ), T, Z ) }.
% 0.73/1.14 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.73/1.14 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.14 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.73/1.14 ) }.
% 0.73/1.14 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.73/1.14 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.73/1.14 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.73/1.14 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.73/1.14 a_select3( inv( X ), T, Z ) }.
% 0.73/1.14 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.73/1.14 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.14 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.73/1.14 .
% 0.73/1.14 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.73/1.14 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.73/1.14 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.73/1.14 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.14 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.73/1.14 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.73/1.14 X, U, U, W ), T, Z ) }.
% 0.73/1.14 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.73/1.14 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.14 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.73/1.14 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.73/1.14 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.73/1.14 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.73/1.14 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.73/1.14 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.73/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.73/1.14 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.73/1.14 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.73/1.14 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.73/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.73/1.14 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.73/1.14 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.73/1.14 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.73/1.14 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.14 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.73/1.14 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.73/1.14 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.73/1.14 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.73/1.14 ( X, Y ) }.
% 0.73/1.14 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.73/1.14 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.73/1.14 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.73/1.14 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.73/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.73/1.14 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.73/1.14 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.73/1.14 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.73/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.73/1.14 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.73/1.14 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.73/1.14 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.73/1.14 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.73/1.14 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.73/1.14 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.73/1.14 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.73/1.14 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.73/1.14 ( X, Y ) }.
% 0.73/1.14 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.73/1.14 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.73/1.14 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.73/1.14 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.73/1.14 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.73/1.14 U ) ) ), T, Z ) }.
% 0.73/1.14 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.73/1.14 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.14 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.73/1.14 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.73/1.14 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.73/1.14 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.73/1.14 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.73/1.14 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.73/1.14 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.73/1.14 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.73/1.14 W ) ) ), T, Z ) }.
% 0.73/1.14 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.73/1.14 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.73/1.14 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.73/1.14 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.73/1.14 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.73/1.14 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.73/1.14 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.73/1.14 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.73/1.14 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.73/1.14 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.73/1.14 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.73/1.14 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.73/1.14 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.73/1.14 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.73/1.14 ) }.
% 0.73/1.14 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.73/1.14 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.73/1.14 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.73/1.14 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.73/1.14 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.73/1.14 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.73/1.14 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.73/1.14 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.73/1.14 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.73/1.14 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.73/1.14 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.73/1.14 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.73/1.14 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.73/1.14 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.73/1.14 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.73/1.14 alpha19( X, Y ) }.
% 0.73/1.14 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.73/1.14 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.73/1.14 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.73/1.14 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.73/1.14 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.73/1.14 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.73/1.14 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.73/1.14 ), alpha8( X ) }.
% 0.73/1.14 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.73/1.14 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.14 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.14 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.73/1.14 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.73/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.73/1.14 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.73/1.14 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.73/1.14 { succ( tptp_minus_1 ) = n0 }.
% 0.73/1.14 { plus( X, n1 ) = succ( X ) }.
% 0.73/1.14 { plus( n1, X ) = succ( X ) }.
% 0.73/1.14 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.73/1.14 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.73/1.14 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.73/1.14 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.73/1.14 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.73/1.14 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.73/1.14 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.73/1.14 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.73/1.14 { minus( X, n1 ) = pred( X ) }.
% 0.73/1.14 { pred( succ( X ) ) = X }.
% 0.73/1.14 { succ( pred( X ) ) = X }.
% 0.73/1.14 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.73/1.14 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.73/1.14 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.73/1.14 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.73/1.14 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.73/1.14 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.73/1.14 , Y, V0 ), Z, T ) = W }.
% 0.73/1.14 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.73/1.14 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.73/1.14 }.
% 0.73/1.14 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.73/1.14 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.73/1.14 U, Z, T, W ), X, Y ) = W }.
% 0.73/1.14 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.73/1.14 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.73/1.14 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.73/1.14 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.73/1.14 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.73/1.14 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.73/1.14 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.73/1.14 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.73/1.14 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.73/1.14 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.73/1.14 T }.
% 0.73/1.14 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.73/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.14 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.73/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.14 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.73/1.14 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.14 { true }.
% 0.73/1.14 { ! def = use }.
% 0.73/1.14 { leq( n0, pv68 ) }.
% 0.73/1.14 { leq( pv68, n4 ) }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.73/1.14 a_select3( q_init, X, Y ) = init }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.73/1.14 .
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, pred( pv68 ) ), a_select2( rhoold_init, X ) =
% 0.73/1.14 init }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( mu_init, X ) = init }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( sigma_init, X ) = init }.
% 0.73/1.14 { ! a_select2( rho_init, pv68 ) = init }.
% 0.73/1.14 { gt( n5, n4 ) }.
% 0.73/1.14 { gt( n135299, n4 ) }.
% 0.73/1.14 { gt( n135299, n5 ) }.
% 0.73/1.14 { gt( n4, tptp_minus_1 ) }.
% 0.73/1.14 { gt( n5, tptp_minus_1 ) }.
% 0.73/1.14 { gt( n135299, tptp_minus_1 ) }.
% 0.73/1.14 { gt( n0, tptp_minus_1 ) }.
% 0.73/1.14 { gt( n1, tptp_minus_1 ) }.
% 0.73/1.14 { gt( n2, tptp_minus_1 ) }.
% 0.73/1.14 { gt( n3, tptp_minus_1 ) }.
% 0.73/1.14 { gt( n4, n0 ) }.
% 0.73/1.14 { gt( n5, n0 ) }.
% 0.73/1.14 { gt( n135299, n0 ) }.
% 0.73/1.14 { gt( n1, n0 ) }.
% 0.73/1.14 { gt( n2, n0 ) }.
% 0.73/1.14 { gt( n3, n0 ) }.
% 0.73/1.14 { gt( n4, n1 ) }.
% 0.73/1.14 { gt( n5, n1 ) }.
% 0.73/1.14 { gt( n135299, n1 ) }.
% 0.73/1.14 { gt( n2, n1 ) }.
% 0.73/1.14 { gt( n3, n1 ) }.
% 0.73/1.14 { gt( n4, n2 ) }.
% 0.73/1.14 { gt( n5, n2 ) }.
% 0.73/1.14 { gt( n135299, n2 ) }.
% 0.73/1.14 { gt( n3, n2 ) }.
% 0.73/1.14 { gt( n4, n3 ) }.
% 0.73/1.14 { gt( n5, n3 ) }.
% 0.73/1.14 { gt( n135299, n3 ) }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.73/1.14 .
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.73/1.14 = n5 }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.73/1.14 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.73/1.14 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.73/1.14 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.73/1.14 { succ( n0 ) = n1 }.
% 0.73/1.14 { succ( succ( n0 ) ) = n2 }.
% 0.73/1.14 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.73/1.14
% 0.73/1.14 percentage equality = 0.186380, percentage horn = 0.872727
% 0.73/1.14 This is a problem with some equality
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Options Used:
% 0.73/1.14
% 0.73/1.14 useres = 1
% 0.73/1.14 useparamod = 1
% 0.73/1.14 useeqrefl = 1
% 0.73/1.14 useeqfact = 1
% 0.73/1.14 usefactor = 1
% 0.73/1.14 usesimpsplitting = 0
% 0.73/1.14 usesimpdemod = 5
% 0.73/1.14 usesimpres = 3
% 0.73/1.14
% 0.73/1.14 resimpinuse = 1000
% 0.73/1.14 resimpclauses = 20000
% 0.73/1.14 substype = eqrewr
% 0.73/1.14 backwardsubs = 1
% 0.73/1.14 selectoldest = 5
% 0.73/1.14
% 0.73/1.14 litorderings [0] = split
% 0.73/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.14
% 0.73/1.14 termordering = kbo
% 0.73/1.14
% 0.73/1.14 litapriori = 0
% 0.73/1.14 termapriori = 1
% 0.73/1.14 litaposteriori = 0
% 0.73/1.14 termaposteriori = 0
% 0.73/1.14 demodaposteriori = 0
% 0.73/1.14 ordereqreflfact = 0
% 0.73/1.14
% 0.73/1.14 litselect = negord
% 0.73/1.14
% 0.73/1.14 maxweight = 15
% 0.73/1.14 maxdepth = 30000
% 0.73/1.14 maxlength = 115
% 0.73/1.14 maxnrvars = 195
% 0.73/1.14 excuselevel = 1
% 0.73/1.14 increasemaxweight = 1
% 0.73/1.14
% 0.73/1.14 maxselected = 10000000
% 0.73/1.14 maxnrclauses = 10000000
% 0.73/1.14
% 0.73/1.14 showgenerated = 0
% 0.73/1.14 showkept = 0
% 0.73/1.14 showselected = 0
% 0.73/1.14 showdeleted = 0
% 0.73/1.14 showresimp = 1
% 0.73/1.14 showstatus = 2000
% 0.73/1.14
% 0.73/1.14 prologoutput = 0
% 0.73/1.14 nrgoals = 5000000
% 0.73/1.14 totalproof = 1
% 0.73/1.14
% 0.73/1.14 Symbols occurring in the translation:
% 0.73/1.14
% 0.73/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.14 . [1, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.73/1.14 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 0.73/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.14 gt [37, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.73/1.14 leq [39, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.73/1.14 lt [40, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.73/1.14 geq [41, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.73/1.14 pred [42, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.73/1.14 succ [43, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.77/2.17 n0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.77/2.17 uniform_int_rnd [46, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.77/2.17 dim [51, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.77/2.17 tptp_const_array1 [52, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.77/2.17 a_select2 [53, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.77/2.17 tptp_const_array2 [59, 3] (w:1, o:146, a:1, s:1, b:0),
% 1.77/2.17 a_select3 [60, 3] (w:1, o:147, a:1, s:1, b:0),
% 1.77/2.17 trans [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.77/2.17 inv [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.77/2.17 tptp_update3 [67, 4] (w:1, o:164, a:1, s:1, b:0),
% 1.77/2.17 tptp_madd [69, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.77/2.17 tptp_msub [70, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.77/2.17 tptp_mmul [71, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.77/2.17 tptp_minus_1 [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.77/2.17 sum [78, 3] (w:1, o:144, a:1, s:1, b:0),
% 1.77/2.17 tptp_float_0_0 [79, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.77/2.17 n1 [80, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.77/2.17 plus [81, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.77/2.17 n2 [82, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.77/2.17 n3 [83, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.77/2.17 n4 [84, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.77/2.17 n5 [85, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.77/2.17 minus [86, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.77/2.17 tptp_update2 [91, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.77/2.17 true [92, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.77/2.17 def [93, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.77/2.17 use [94, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.77/2.17 pv68 [95, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.77/2.17 n135299 [96, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.77/2.17 q_init [97, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.77/2.17 init [98, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.77/2.17 center_init [99, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.77/2.17 muold_init [100, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.77/2.17 rhoold_init [101, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.77/2.17 mu_init [102, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.77/2.17 rho_init [104, 0] (w:1, o:55, a:1, s:1, b:0),
% 1.77/2.17 sigma_init [106, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.77/2.17 alpha1 [107, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.77/2.17 alpha2 [108, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.77/2.17 alpha3 [109, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.77/2.17 alpha4 [110, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.77/2.17 alpha5 [111, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.77/2.17 alpha6 [112, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.77/2.17 alpha7 [113, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.77/2.17 alpha8 [114, 1] (w:1, o:66, a:1, s:1, b:1),
% 1.77/2.17 alpha9 [115, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.77/2.17 alpha10 [116, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.77/2.17 alpha11 [117, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.77/2.17 alpha12 [118, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.77/2.17 alpha13 [119, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.77/2.17 alpha14 [120, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.77/2.17 alpha15 [121, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.77/2.17 alpha16 [122, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.77/2.17 alpha17 [123, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.77/2.17 alpha18 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.77/2.17 alpha19 [125, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.77/2.17 alpha20 [126, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.77/2.17 alpha21 [127, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.77/2.17 alpha22 [128, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.77/2.17 alpha23 [129, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.77/2.17 alpha24 [130, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.77/2.17 alpha25 [131, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.77/2.17 alpha26 [132, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.77/2.17 alpha27 [133, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.77/2.17 alpha28 [134, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.77/2.17 alpha29 [135, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.77/2.17 alpha30 [136, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.77/2.17 skol1 [137, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.77/2.17 skol2 [138, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.77/2.17 skol3 [139, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.77/2.17 skol4 [140, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.77/2.17 skol5 [141, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.77/2.17 skol6 [142, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.77/2.17 skol7 [143, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.77/2.17 skol8 [144, 2] (w:1, o:117, a:1, s:1, b:1),
% 1.77/2.17 skol9 [145, 2] (w:1, o:118, a:1, s:1, b:1),
% 1.77/2.17 skol10 [146, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.77/2.17 skol11 [147, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.77/2.17 skol12 [148, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.77/2.17 skol13 [149, 4] (w:1, o:162, a:1, s:1, b:1),
% 1.77/2.17 skol14 [150, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.77/2.17 skol15 [151, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.77/2.17 skol16 [152, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.77/2.17 skol17 [153, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.77/2.17 skol18 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.77/2.17 skol19 [155, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.77/2.17 skol20 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.77/2.17 skol21 [157, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.77/2.17 skol22 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.77/2.17 skol23 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.77/2.17 skol24 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.77/2.17 skol25 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.77/2.17 skol26 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.77/2.17 skol27 [163, 4] (w:1, o:163, a:1, s:1, b:1),
% 1.77/2.17 skol28 [164, 1] (w:1, o:63, a:1, s:1, b:1).
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Starting Search:
% 1.77/2.17
% 1.77/2.17 *** allocated 15000 integers for clauses
% 1.77/2.17 *** allocated 22500 integers for clauses
% 1.77/2.17 *** allocated 33750 integers for clauses
% 1.77/2.17 *** allocated 22500 integers for termspace/termends
% 1.77/2.17 *** allocated 50625 integers for clauses
% 1.77/2.17 *** allocated 75937 integers for clauses
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 33750 integers for termspace/termends
% 1.77/2.17 *** allocated 113905 integers for clauses
% 1.77/2.17 *** allocated 50625 integers for termspace/termends
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 7961
% 1.77/2.17 Kept: 2041
% 1.77/2.17 Inuse: 171
% 1.77/2.17 Deleted: 0
% 1.77/2.17 Deletedinuse: 0
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 170857 integers for clauses
% 1.77/2.17 *** allocated 75937 integers for termspace/termends
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 113905 integers for termspace/termends
% 1.77/2.17 *** allocated 256285 integers for clauses
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 16451
% 1.77/2.17 Kept: 4049
% 1.77/2.17 Inuse: 331
% 1.77/2.17 Deleted: 0
% 1.77/2.17 Deletedinuse: 0
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 170857 integers for termspace/termends
% 1.77/2.17 *** allocated 384427 integers for clauses
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 23428
% 1.77/2.17 Kept: 6111
% 1.77/2.17 Inuse: 461
% 1.77/2.17 Deleted: 0
% 1.77/2.17 Deletedinuse: 0
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 256285 integers for termspace/termends
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 31426
% 1.77/2.17 Kept: 8182
% 1.77/2.17 Inuse: 556
% 1.77/2.17 Deleted: 0
% 1.77/2.17 Deletedinuse: 0
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 576640 integers for clauses
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 36742
% 1.77/2.17 Kept: 10287
% 1.77/2.17 Inuse: 736
% 1.77/2.17 Deleted: 0
% 1.77/2.17 Deletedinuse: 0
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 384427 integers for termspace/termends
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Intermediate Status:
% 1.77/2.17 Generated: 44643
% 1.77/2.17 Kept: 12360
% 1.77/2.17 Inuse: 805
% 1.77/2.17 Deleted: 13
% 1.77/2.17 Deletedinuse: 12
% 1.77/2.17
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17 *** allocated 864960 integers for clauses
% 1.77/2.17 Resimplifying inuse:
% 1.77/2.17 Done
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Bliksems!, er is een bewijs:
% 1.77/2.17 % SZS status Theorem
% 1.77/2.17 % SZS output start Refutation
% 1.77/2.17
% 1.77/2.17 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv68 ) }.
% 1.77/2.17 (172) {G0,W3,D2,L1,V0,M1} I { leq( pv68, n4 ) }.
% 1.77/2.17 (178) {G0,W11,D3,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.77/2.17 rho_init, X ) ==> init }.
% 1.77/2.17 (180) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_init, pv68 ) ==> init }.
% 1.77/2.17 (14101) {G1,W5,D3,L1,V0,M1} R(178,171);r(172) { a_select2( rho_init, pv68 )
% 1.77/2.17 ==> init }.
% 1.77/2.17 (14286) {G2,W0,D0,L0,V0,M0} S(180);d(14101);q { }.
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 % SZS output end Refutation
% 1.77/2.17 found a proof!
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Unprocessed initial clauses:
% 1.77/2.17
% 1.77/2.17 (14288) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.77/2.17 (14289) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.77/2.17 (14290) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.77/2.17 (14291) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.77/2.17 (14292) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.77/2.17 }.
% 1.77/2.17 (14293) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.77/2.17 (14294) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.77/2.17 (14295) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14296) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.77/2.17 (14297) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.77/2.17 (14298) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.77/2.17 (14299) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.77/2.17 (14300) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.77/2.17 (14301) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.77/2.17 (14302) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.77/2.17 (14303) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.77/2.17 (14304) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.77/2.17 (14305) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.77/2.17 , X ) }.
% 1.77/2.17 (14306) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.77/2.17 , X ) ) }.
% 1.77/2.17 (14307) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.77/2.17 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.77/2.17 (14308) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.77/2.17 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.77/2.17 V0 ), X, T ) = V0 }.
% 1.77/2.17 (14309) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.77/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.77/2.17 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.77/2.17 (14310) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.77/2.17 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.77/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.77/2.17 = a_select3( trans( X ), T, Z ) }.
% 1.77/2.17 (14311) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.77/2.17 (14312) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14313) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14314) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha10( X, Y, Z ) }.
% 1.77/2.17 (14315) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14316) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14317) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14318) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.77/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.77/2.17 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.77/2.17 (14319) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.77/2.17 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.77/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.77/2.17 a_select3( inv( X ), T, Z ) }.
% 1.77/2.17 (14320) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.77/2.17 (14321) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14322) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14323) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha11( X, Y, Z ) }.
% 1.77/2.17 (14324) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14325) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14326) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14327) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.77/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.77/2.17 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.77/2.17 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.77/2.17 (14328) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.77/2.17 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.77/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.77/2.17 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.77/2.17 ( X, U, U, W ), T, Z ) }.
% 1.77/2.17 (14329) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.77/2.17 (14330) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14331) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14332) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha12( X, Y, Z ) }.
% 1.77/2.17 (14333) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14334) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14335) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14336) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.77/2.17 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.77/2.17 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.77/2.17 ), U, T ) }.
% 1.77/2.17 (14337) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.77/2.17 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.77/2.17 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.77/2.17 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.77/2.17 (14338) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.77/2.17 (14339) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14340) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14341) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha22( X, Y, Z ) }.
% 1.77/2.17 (14342) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14343) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14344) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14345) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.77/2.17 , skol19( X, Y ) ) }.
% 1.77/2.17 (14346) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.77/2.17 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.77/2.17 }.
% 1.77/2.17 (14347) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.77/2.17 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.77/2.17 (14348) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.77/2.17 (14349) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14350) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14351) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha23( X, Y, Z ) }.
% 1.77/2.17 (14352) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14353) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14354) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14355) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.77/2.17 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.77/2.17 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.77/2.17 ), U, T ) }.
% 1.77/2.17 (14356) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.77/2.17 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.77/2.17 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.77/2.17 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.77/2.17 (14357) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.77/2.17 (14358) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14359) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14360) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha24( X, Y, Z ) }.
% 1.77/2.17 (14361) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14362) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14363) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14364) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.77/2.17 , skol21( X, Y ) ) }.
% 1.77/2.17 (14365) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.77/2.17 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.77/2.17 }.
% 1.77/2.17 (14366) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.77/2.17 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.77/2.17 (14367) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.77/2.17 (14368) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14369) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14370) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha25( X, Y, Z ) }.
% 1.77/2.17 (14371) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14372) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14373) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14374) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.77/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.77/2.17 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.77/2.17 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.77/2.17 (14375) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.77/2.17 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.77/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.77/2.17 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.77/2.17 ( X, trans( U ) ) ), T, Z ) }.
% 1.77/2.17 (14376) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.77/2.17 (14377) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14378) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14379) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha17( X, Y, Z ) }.
% 1.77/2.17 (14380) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14381) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14382) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14383) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.77/2.17 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.77/2.17 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.77/2.17 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.77/2.17 (14384) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.77/2.17 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.77/2.17 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.77/2.17 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.77/2.17 ( X, trans( W ) ) ), T, Z ) }.
% 1.77/2.17 (14385) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.77/2.17 (14386) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14387) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14388) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha18( X, Y, Z ) }.
% 1.77/2.17 (14389) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14390) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14391) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14392) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.77/2.17 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.77/2.17 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.77/2.17 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.77/2.17 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.77/2.17 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.77/2.17 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.77/2.17 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.77/2.17 (14393) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.77/2.17 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.77/2.17 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.77/2.17 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.77/2.17 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.77/2.17 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.77/2.17 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.77/2.17 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.77/2.17 ) ), W, U ) }.
% 1.77/2.17 (14394) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.77/2.17 (14395) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14396) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14397) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha29( X, Y, Z ) }.
% 1.77/2.17 (14398) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14399) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14400) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14401) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.77/2.17 ), skol25( X, Y ) ) }.
% 1.77/2.17 (14402) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.77/2.17 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.77/2.17 }.
% 1.77/2.17 (14403) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.77/2.17 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.77/2.17 (14404) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.77/2.17 (14405) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14406) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14407) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha30( X, Y, Z ) }.
% 1.77/2.17 (14408) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14409) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14410) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14411) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.77/2.17 skol26( X, Y ) ) }.
% 1.77/2.17 (14412) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.77/2.17 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.77/2.17 (14413) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.77/2.17 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.77/2.17 (14414) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.77/2.17 (14415) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.77/2.17 (14416) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.77/2.17 (14417) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.77/2.17 , X ), alpha28( X, Y, Z ) }.
% 1.77/2.17 (14418) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14419) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.77/2.17 (14420) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.77/2.17 ) }.
% 1.77/2.17 (14421) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.77/2.17 (14422) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.77/2.17 }.
% 1.77/2.17 (14423) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.77/2.17 (14424) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.77/2.17 (14425) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.77/2.17 (14426) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.77/2.17 (14427) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.77/2.17 (14428) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.77/2.17 }.
% 1.77/2.17 (14429) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.77/2.17 }.
% 1.77/2.17 (14430) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.77/2.17 ) ) ) }.
% 1.77/2.17 (14431) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.77/2.17 ) ) ) }.
% 1.77/2.17 (14432) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.77/2.17 succ( X ) ) ) ) ) }.
% 1.77/2.17 (14433) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.77/2.17 succ( X ) ) ) ) ) }.
% 1.77/2.17 (14434) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.77/2.17 (14435) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.77/2.17 (14436) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.77/2.17 (14437) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.77/2.17 }.
% 1.77/2.17 (14438) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.77/2.17 }.
% 1.77/2.17 (14439) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.77/2.17 (14440) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.77/2.17 (14441) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.77/2.17 ) = T }.
% 1.77/2.17 (14442) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.77/2.17 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.77/2.17 (14443) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.77/2.17 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.77/2.17 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.77/2.17 (14444) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.77/2.17 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.77/2.17 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.77/2.17 (14445) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.77/2.17 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.77/2.17 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.77/2.17 (14446) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.77/2.17 (14447) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.77/2.17 (14448) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.77/2.17 , Y, Z ) }.
% 1.77/2.17 (14449) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.77/2.17 (14450) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.77/2.17 (14451) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.77/2.18 ) }.
% 1.77/2.18 (14452) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.77/2.18 }.
% 1.77/2.18 (14453) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.77/2.18 tptp_update2( Z, X, U ), Y ) = T }.
% 1.77/2.18 (14454) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.77/2.18 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.77/2.18 (14455) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.77/2.18 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.77/2.18 (14456) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.77/2.18 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.77/2.18 }.
% 1.77/2.18 (14457) {G0,W1,D1,L1,V0,M1} { true }.
% 1.77/2.18 (14458) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.77/2.18 (14459) {G0,W3,D2,L1,V0,M1} { leq( n0, pv68 ) }.
% 1.77/2.18 (14460) {G0,W3,D2,L1,V0,M1} { leq( pv68, n4 ) }.
% 1.77/2.18 (14461) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 1.77/2.18 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 1.77/2.18 (14462) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 1.77/2.18 center_init, X, n0 ) = init }.
% 1.77/2.18 (14463) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.77/2.18 muold_init, X ) = init }.
% 1.77/2.18 (14464) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv68 ) ),
% 1.77/2.18 a_select2( rhoold_init, X ) = init }.
% 1.77/2.18 (14465) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.77/2.18 mu_init, X ) = init }.
% 1.77/2.18 (14466) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.77/2.18 rho_init, X ) = init }.
% 1.77/2.18 (14467) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 1.77/2.18 sigma_init, X ) = init }.
% 1.77/2.18 (14468) {G0,W5,D3,L1,V0,M1} { ! a_select2( rho_init, pv68 ) = init }.
% 1.77/2.18 (14469) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.77/2.18 (14470) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.77/2.18 (14471) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.77/2.18 (14472) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.77/2.18 (14473) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.77/2.18 (14474) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.77/2.18 (14475) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.77/2.18 (14476) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.77/2.18 (14477) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.77/2.18 (14478) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.77/2.18 (14479) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.77/2.18 (14480) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.77/2.18 (14481) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.77/2.18 (14482) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.77/2.18 (14483) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.77/2.18 (14484) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.77/2.18 (14485) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.77/2.18 (14486) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.77/2.18 (14487) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.77/2.18 (14488) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.77/2.18 (14489) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.77/2.18 (14490) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.77/2.18 (14491) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.77/2.18 (14492) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.77/2.18 (14493) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.77/2.18 (14494) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.77/2.18 (14495) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.77/2.18 (14496) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.77/2.18 (14497) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.77/2.18 n1, X = n2, X = n3, X = n4 }.
% 1.77/2.18 (14498) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.77/2.18 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.77/2.18 (14499) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.77/2.18 (14500) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.77/2.18 n1 }.
% 1.77/2.18 (14501) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.77/2.18 n1, X = n2 }.
% 1.77/2.18 (14502) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.77/2.18 n1, X = n2, X = n3 }.
% 1.77/2.18 (14503) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.77/2.18 (14504) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.77/2.18 n5 }.
% 1.77/2.18 (14505) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.77/2.18 (14506) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.77/2.18 (14507) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.77/2.18
% 1.77/2.18
% 1.77/2.18 Total Proof:
% 1.77/2.18
% 1.77/2.18 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv68 ) }.
% 1.77/2.19 parent0: (14459) {G0,W3,D2,L1,V0,M1} { leq( n0, pv68 ) }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19 permutation0:
% 1.77/2.19 0 ==> 0
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 *** allocated 576640 integers for termspace/termends
% 1.77/2.19 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( pv68, n4 ) }.
% 1.77/2.19 parent0: (14460) {G0,W3,D2,L1,V0,M1} { leq( pv68, n4 ) }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19 permutation0:
% 1.77/2.19 0 ==> 0
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 subsumption: (178) {G0,W11,D3,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n4 )
% 1.77/2.19 , a_select2( rho_init, X ) ==> init }.
% 1.77/2.19 parent0: (14466) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ),
% 1.77/2.19 a_select2( rho_init, X ) = init }.
% 1.77/2.19 substitution0:
% 1.77/2.19 X := X
% 1.77/2.19 end
% 1.77/2.19 permutation0:
% 1.77/2.19 0 ==> 0
% 1.77/2.19 1 ==> 1
% 1.77/2.19 2 ==> 2
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 subsumption: (180) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_init, pv68 )
% 1.77/2.19 ==> init }.
% 1.77/2.19 parent0: (14468) {G0,W5,D3,L1,V0,M1} { ! a_select2( rho_init, pv68 ) =
% 1.77/2.19 init }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19 permutation0:
% 1.77/2.19 0 ==> 0
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 eqswap: (16642) {G0,W11,D3,L3,V1,M3} { init ==> a_select2( rho_init, X ),
% 1.77/2.19 ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.77/2.19 parent0[2]: (178) {G0,W11,D3,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n4 ),
% 1.77/2.19 a_select2( rho_init, X ) ==> init }.
% 1.77/2.19 substitution0:
% 1.77/2.19 X := X
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 resolution: (16643) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( rho_init,
% 1.77/2.19 pv68 ), ! leq( pv68, n4 ) }.
% 1.77/2.19 parent0[1]: (16642) {G0,W11,D3,L3,V1,M3} { init ==> a_select2( rho_init, X
% 1.77/2.19 ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.77/2.19 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv68 ) }.
% 1.77/2.19 substitution0:
% 1.77/2.19 X := pv68
% 1.77/2.19 end
% 1.77/2.19 substitution1:
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 resolution: (16644) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( rho_init,
% 1.77/2.19 pv68 ) }.
% 1.77/2.19 parent0[1]: (16643) {G1,W8,D3,L2,V0,M2} { init ==> a_select2( rho_init,
% 1.77/2.19 pv68 ), ! leq( pv68, n4 ) }.
% 1.77/2.19 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( pv68, n4 ) }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19 substitution1:
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 eqswap: (16645) {G1,W5,D3,L1,V0,M1} { a_select2( rho_init, pv68 ) ==> init
% 1.77/2.19 }.
% 1.77/2.19 parent0[0]: (16644) {G1,W5,D3,L1,V0,M1} { init ==> a_select2( rho_init,
% 1.77/2.19 pv68 ) }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 subsumption: (14101) {G1,W5,D3,L1,V0,M1} R(178,171);r(172) { a_select2(
% 1.77/2.19 rho_init, pv68 ) ==> init }.
% 1.77/2.19 parent0: (16645) {G1,W5,D3,L1,V0,M1} { a_select2( rho_init, pv68 ) ==>
% 1.77/2.19 init }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19 permutation0:
% 1.77/2.19 0 ==> 0
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 paramod: (16648) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.77/2.19 parent0[0]: (14101) {G1,W5,D3,L1,V0,M1} R(178,171);r(172) { a_select2(
% 1.77/2.19 rho_init, pv68 ) ==> init }.
% 1.77/2.19 parent1[0; 2]: (180) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_init, pv68 )
% 1.77/2.19 ==> init }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19 substitution1:
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 eqrefl: (16649) {G0,W0,D0,L0,V0,M0} { }.
% 1.77/2.19 parent0[0]: (16648) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 subsumption: (14286) {G2,W0,D0,L0,V0,M0} S(180);d(14101);q { }.
% 1.77/2.19 parent0: (16649) {G0,W0,D0,L0,V0,M0} { }.
% 1.77/2.19 substitution0:
% 1.77/2.19 end
% 1.77/2.19 permutation0:
% 1.77/2.19 end
% 1.77/2.19
% 1.77/2.19 Proof check complete!
% 1.77/2.19
% 1.77/2.19 Memory use:
% 1.77/2.19
% 1.77/2.19 space for terms: 346126
% 1.77/2.19 space for clauses: 637218
% 1.77/2.19
% 1.77/2.19
% 1.77/2.19 clauses generated: 48774
% 1.77/2.19 clauses kept: 14287
% 1.77/2.19 clauses selected: 868
% 1.77/2.19 clauses deleted: 15
% 1.77/2.19 clauses inuse deleted: 12
% 1.77/2.19
% 1.77/2.19 subsentry: 161169
% 1.77/2.19 literals s-matched: 65681
% 1.77/2.19 literals matched: 54715
% 1.77/2.19 full subsumption: 39389
% 1.77/2.19
% 1.77/2.19 checksum: 514749929
% 1.77/2.19
% 1.77/2.19
% 1.77/2.19 Bliksem ended
%------------------------------------------------------------------------------