TSTP Solution File: SWV187+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV187+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 16:22:51 EDT 2022
% Result : Theorem 1.84s 2.21s
% Output : Refutation 1.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV187+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 15:21:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.17 *** allocated 10000 integers for termspace/termends
% 0.46/1.17 *** allocated 10000 integers for clauses
% 0.46/1.17 *** allocated 10000 integers for justifications
% 0.46/1.17 Bliksem 1.12
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 Automatic Strategy Selection
% 0.46/1.17
% 0.46/1.17 *** allocated 15000 integers for termspace/termends
% 0.46/1.17
% 0.46/1.17 Clauses:
% 0.46/1.17
% 0.46/1.17 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.46/1.17 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.46/1.17 { ! gt( X, X ) }.
% 0.46/1.17 { leq( X, X ) }.
% 0.46/1.17 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.46/1.17 { ! lt( X, Y ), gt( Y, X ) }.
% 0.46/1.17 { ! gt( Y, X ), lt( X, Y ) }.
% 0.46/1.17 { ! geq( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( Y, X ), geq( X, Y ) }.
% 0.46/1.17 { ! gt( Y, X ), leq( X, Y ) }.
% 0.46/1.17 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.46/1.17 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.46/1.17 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.46/1.17 { gt( succ( X ), X ) }.
% 0.46/1.17 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.46/1.17 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.46/1.17 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.46/1.17 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.46/1.17 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.46/1.17 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.46/1.17 T ), X ) = T }.
% 0.46/1.17 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.46/1.17 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.46/1.17 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.17 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.46/1.17 a_select3( trans( X ), T, Z ) }.
% 0.46/1.17 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.46/1.17 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.17 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.46/1.17 ) }.
% 0.46/1.17 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.46/1.17 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.46/1.17 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.46/1.17 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.17 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.46/1.17 a_select3( inv( X ), T, Z ) }.
% 0.46/1.17 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.46/1.17 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.17 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.46/1.17 .
% 0.46/1.17 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.46/1.17 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.46/1.17 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.46/1.17 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.17 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.46/1.17 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.46/1.17 X, U, U, W ), T, Z ) }.
% 0.46/1.17 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.46/1.17 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.17 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.46/1.17 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.46/1.17 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.46/1.17 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.46/1.17 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.46/1.17 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.46/1.17 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.46/1.17 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.46/1.17 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.46/1.17 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.46/1.17 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.46/1.17 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.46/1.17 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.46/1.17 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.46/1.17 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.46/1.17 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.46/1.17 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.46/1.17 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.46/1.17 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.46/1.17 ( X, Y ) }.
% 0.46/1.17 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.46/1.17 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.46/1.17 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.46/1.17 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.46/1.17 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.46/1.17 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.46/1.17 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.46/1.17 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.46/1.17 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.46/1.17 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.46/1.17 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.46/1.17 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.46/1.17 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.46/1.17 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.46/1.17 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.46/1.17 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.46/1.17 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.46/1.17 ( X, Y ) }.
% 0.46/1.17 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.46/1.17 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.46/1.17 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.46/1.17 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.17 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.46/1.17 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.46/1.17 U ) ) ), T, Z ) }.
% 0.46/1.17 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.46/1.17 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.17 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.46/1.17 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.46/1.17 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.46/1.17 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.46/1.17 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.46/1.17 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.46/1.17 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.46/1.17 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.46/1.17 W ) ) ), T, Z ) }.
% 0.46/1.17 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.46/1.17 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.46/1.17 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.46/1.17 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.46/1.17 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.46/1.17 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.46/1.17 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.46/1.17 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.46/1.17 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.46/1.17 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.46/1.17 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.46/1.17 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.46/1.17 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.46/1.17 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.46/1.17 ) }.
% 0.46/1.17 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.46/1.17 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.46/1.17 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.46/1.17 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.46/1.17 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.46/1.17 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.46/1.17 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.46/1.17 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.46/1.17 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.46/1.17 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.46/1.17 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.46/1.17 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.46/1.17 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.46/1.17 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.46/1.17 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.46/1.17 alpha19( X, Y ) }.
% 0.46/1.17 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.46/1.17 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.46/1.17 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.46/1.17 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.46/1.17 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.46/1.17 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.46/1.17 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.46/1.17 ), alpha8( X ) }.
% 0.46/1.17 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.46/1.17 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.17 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.17 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.46/1.17 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.46/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.46/1.17 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.46/1.17 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.46/1.17 { succ( tptp_minus_1 ) = n0 }.
% 0.46/1.17 { plus( X, n1 ) = succ( X ) }.
% 0.46/1.17 { plus( n1, X ) = succ( X ) }.
% 0.46/1.17 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.46/1.17 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.46/1.17 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.17 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.17 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.46/1.17 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.46/1.17 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.46/1.17 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.46/1.17 { minus( X, n1 ) = pred( X ) }.
% 0.46/1.17 { pred( succ( X ) ) = X }.
% 0.46/1.17 { succ( pred( X ) ) = X }.
% 0.46/1.17 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.46/1.17 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.46/1.17 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.46/1.17 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.46/1.17 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.46/1.17 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.46/1.17 , Y, V0 ), Z, T ) = W }.
% 0.46/1.17 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.46/1.17 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.46/1.17 }.
% 0.46/1.17 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.46/1.17 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.46/1.17 U, Z, T, W ), X, Y ) = W }.
% 0.46/1.17 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.46/1.17 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.46/1.17 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.46/1.17 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.46/1.17 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.46/1.17 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.46/1.17 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.46/1.17 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.46/1.17 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.46/1.17 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.46/1.17 T }.
% 0.46/1.17 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.46/1.17 tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.17 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.46/1.17 tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.17 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.46/1.17 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.17 { true }.
% 0.46/1.17 { ! def = use }.
% 0.46/1.17 { gt( loopcounter, n1 ) }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.46/1.17 a_select3( q_init, X, Y ) = init }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.46/1.17 .
% 0.46/1.17 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.46/1.17 muold_init, X ) = init }.
% 0.46/1.17 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.46/1.17 rhoold_init, X ) = init }.
% 0.46/1.17 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.46/1.17 sigmaold_init, X ) = init }.
% 0.46/1.17 { leq( n0, skol15 ) }.
% 0.46/1.17 { leq( skol15, n4 ) }.
% 0.46/1.17 { ! a_select2( sigmaold_init, skol15 ) = init }.
% 0.46/1.17 { gt( n5, n4 ) }.
% 0.46/1.17 { gt( n135299, n4 ) }.
% 0.46/1.17 { gt( n135299, n5 ) }.
% 0.46/1.17 { gt( n4, tptp_minus_1 ) }.
% 0.46/1.17 { gt( n5, tptp_minus_1 ) }.
% 0.46/1.17 { gt( n135299, tptp_minus_1 ) }.
% 0.46/1.17 { gt( n0, tptp_minus_1 ) }.
% 0.46/1.17 { gt( n1, tptp_minus_1 ) }.
% 0.46/1.17 { gt( n2, tptp_minus_1 ) }.
% 0.46/1.17 { gt( n3, tptp_minus_1 ) }.
% 0.46/1.17 { gt( n4, n0 ) }.
% 0.46/1.17 { gt( n5, n0 ) }.
% 0.46/1.17 { gt( n135299, n0 ) }.
% 0.46/1.17 { gt( n1, n0 ) }.
% 0.46/1.17 { gt( n2, n0 ) }.
% 0.46/1.17 { gt( n3, n0 ) }.
% 0.46/1.17 { gt( n4, n1 ) }.
% 0.46/1.17 { gt( n5, n1 ) }.
% 0.46/1.17 { gt( n135299, n1 ) }.
% 0.46/1.17 { gt( n2, n1 ) }.
% 0.46/1.17 { gt( n3, n1 ) }.
% 0.46/1.17 { gt( n4, n2 ) }.
% 0.46/1.17 { gt( n5, n2 ) }.
% 0.46/1.17 { gt( n135299, n2 ) }.
% 0.46/1.17 { gt( n3, n2 ) }.
% 0.46/1.17 { gt( n4, n3 ) }.
% 0.46/1.17 { gt( n5, n3 ) }.
% 0.46/1.17 { gt( n135299, n3 ) }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.46/1.17 .
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.46/1.17 = n5 }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.46/1.17 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.46/1.17 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.46/1.17 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.46/1.17 { succ( n0 ) = n1 }.
% 0.46/1.17 { succ( succ( n0 ) ) = n2 }.
% 0.46/1.17 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.46/1.17
% 0.46/1.17 percentage equality = 0.183453, percentage horn = 0.872146
% 0.46/1.17 This is a problem with some equality
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 Options Used:
% 0.46/1.17
% 0.46/1.17 useres = 1
% 0.46/1.17 useparamod = 1
% 0.46/1.17 useeqrefl = 1
% 0.46/1.17 useeqfact = 1
% 0.46/1.17 usefactor = 1
% 0.46/1.17 usesimpsplitting = 0
% 0.46/1.17 usesimpdemod = 5
% 0.46/1.17 usesimpres = 3
% 0.46/1.17
% 0.46/1.17 resimpinuse = 1000
% 0.46/1.17 resimpclauses = 20000
% 0.46/1.17 substype = eqrewr
% 0.46/1.17 backwardsubs = 1
% 0.46/1.17 selectoldest = 5
% 0.46/1.17
% 0.46/1.17 litorderings [0] = split
% 0.46/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.17
% 0.46/1.17 termordering = kbo
% 0.46/1.17
% 0.46/1.17 litapriori = 0
% 0.46/1.17 termapriori = 1
% 0.46/1.17 litaposteriori = 0
% 0.46/1.17 termaposteriori = 0
% 0.46/1.17 demodaposteriori = 0
% 0.46/1.17 ordereqreflfact = 0
% 0.46/1.17
% 0.46/1.17 litselect = negord
% 0.46/1.17
% 0.46/1.17 maxweight = 15
% 0.46/1.17 maxdepth = 30000
% 0.46/1.17 maxlength = 115
% 0.46/1.17 maxnrvars = 195
% 0.46/1.17 excuselevel = 1
% 0.46/1.17 increasemaxweight = 1
% 0.46/1.17
% 0.46/1.17 maxselected = 10000000
% 0.46/1.17 maxnrclauses = 10000000
% 0.46/1.17
% 0.46/1.17 showgenerated = 0
% 0.46/1.17 showkept = 0
% 0.46/1.17 showselected = 0
% 0.46/1.17 showdeleted = 0
% 0.46/1.17 showresimp = 1
% 0.46/1.17 showstatus = 2000
% 0.46/1.17
% 0.46/1.17 prologoutput = 0
% 0.46/1.17 nrgoals = 5000000
% 0.46/1.17 totalproof = 1
% 0.46/1.17
% 0.46/1.17 Symbols occurring in the translation:
% 0.46/1.17
% 0.46/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.17 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.46/1.17 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 0.46/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.17 gt [37, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.46/1.17 leq [39, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.46/1.17 lt [40, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.46/1.17 geq [41, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.46/1.17 pred [42, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.46/1.17 succ [43, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.84/2.21 n0 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.84/2.21 uniform_int_rnd [46, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.84/2.21 dim [51, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.84/2.21 tptp_const_array1 [52, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.84/2.21 a_select2 [53, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.84/2.21 tptp_const_array2 [59, 3] (w:1, o:144, a:1, s:1, b:0),
% 1.84/2.21 a_select3 [60, 3] (w:1, o:145, a:1, s:1, b:0),
% 1.84/2.21 trans [63, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.84/2.21 inv [64, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.84/2.21 tptp_update3 [67, 4] (w:1, o:162, a:1, s:1, b:0),
% 1.84/2.21 tptp_madd [69, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.84/2.21 tptp_msub [70, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.84/2.21 tptp_mmul [71, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.84/2.21 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.84/2.21 sum [78, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.84/2.21 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.84/2.21 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.84/2.21 plus [81, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.84/2.21 n2 [82, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.84/2.21 n3 [83, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.84/2.21 n4 [84, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.84/2.21 n5 [85, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.84/2.21 minus [86, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.84/2.21 tptp_update2 [91, 3] (w:1, o:146, a:1, s:1, b:0),
% 1.84/2.21 true [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.84/2.21 def [93, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.84/2.21 use [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.84/2.21 loopcounter [95, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.84/2.21 n135299 [96, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.84/2.21 q_init [97, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.84/2.21 init [98, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.84/2.21 center_init [99, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.84/2.21 muold_init [100, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.84/2.21 rhoold_init [101, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.84/2.21 sigmaold_init [102, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.84/2.21 alpha1 [104, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.84/2.21 alpha2 [105, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.84/2.21 alpha3 [106, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.84/2.21 alpha4 [107, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.84/2.21 alpha5 [108, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.84/2.21 alpha6 [109, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.84/2.21 alpha7 [110, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.84/2.21 alpha8 [111, 1] (w:1, o:64, a:1, s:1, b:1),
% 1.84/2.21 alpha9 [112, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.84/2.21 alpha10 [113, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.84/2.21 alpha11 [114, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.84/2.21 alpha12 [115, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.84/2.21 alpha13 [116, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.84/2.21 alpha14 [117, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.84/2.21 alpha15 [118, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.84/2.21 alpha16 [119, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.84/2.21 alpha17 [120, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.84/2.21 alpha18 [121, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.84/2.21 alpha19 [122, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.84/2.21 alpha20 [123, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.84/2.21 alpha21 [124, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.84/2.21 alpha22 [125, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.84/2.21 alpha23 [126, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.84/2.21 alpha24 [127, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.84/2.21 alpha25 [128, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.84/2.21 alpha26 [129, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.84/2.21 alpha27 [130, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.84/2.21 alpha28 [131, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.84/2.21 alpha29 [132, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.84/2.21 alpha30 [133, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.84/2.21 skol1 [134, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.84/2.21 skol2 [135, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.84/2.21 skol3 [136, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.84/2.21 skol4 [137, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.84/2.21 skol5 [138, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.84/2.21 skol6 [139, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.84/2.21 skol7 [140, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.84/2.21 skol8 [141, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.84/2.21 skol9 [142, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.84/2.21 skol10 [143, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.84/2.21 skol11 [144, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.84/2.21 skol12 [145, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.84/2.21 skol13 [146, 4] (w:1, o:160, a:1, s:1, b:1),
% 1.84/2.21 skol14 [147, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.84/2.21 skol15 [148, 0] (w:1, o:34, a:1, s:1, b:1),
% 1.84/2.21 skol16 [149, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.84/2.21 skol17 [150, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.84/2.21 skol18 [151, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.84/2.21 skol19 [152, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.84/2.21 skol20 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.84/2.21 skol21 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.84/2.21 skol22 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.84/2.21 skol23 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.84/2.21 skol24 [157, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.84/2.21 skol25 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.84/2.21 skol26 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.84/2.21 skol27 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.84/2.21 skol28 [161, 4] (w:1, o:161, a:1, s:1, b:1),
% 1.84/2.21 skol29 [162, 1] (w:1, o:61, a:1, s:1, b:1).
% 1.84/2.21
% 1.84/2.21
% 1.84/2.21 Starting Search:
% 1.84/2.21
% 1.84/2.21 *** allocated 15000 integers for clauses
% 1.84/2.21 *** allocated 22500 integers for clauses
% 1.84/2.21 *** allocated 33750 integers for clauses
% 1.84/2.21 *** allocated 22500 integers for termspace/termends
% 1.84/2.21 *** allocated 50625 integers for clauses
% 1.84/2.21 *** allocated 75937 integers for clauses
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 33750 integers for termspace/termends
% 1.84/2.21 *** allocated 113905 integers for clauses
% 1.84/2.21 *** allocated 50625 integers for termspace/termends
% 1.84/2.21
% 1.84/2.21 Intermediate Status:
% 1.84/2.21 Generated: 7960
% 1.84/2.21 Kept: 2040
% 1.84/2.21 Inuse: 171
% 1.84/2.21 Deleted: 0
% 1.84/2.21 Deletedinuse: 0
% 1.84/2.21
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 170857 integers for clauses
% 1.84/2.21 *** allocated 75937 integers for termspace/termends
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 113905 integers for termspace/termends
% 1.84/2.21 *** allocated 256285 integers for clauses
% 1.84/2.21
% 1.84/2.21 Intermediate Status:
% 1.84/2.21 Generated: 16459
% 1.84/2.21 Kept: 4055
% 1.84/2.21 Inuse: 331
% 1.84/2.21 Deleted: 0
% 1.84/2.21 Deletedinuse: 0
% 1.84/2.21
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 170857 integers for termspace/termends
% 1.84/2.21 *** allocated 384427 integers for clauses
% 1.84/2.21
% 1.84/2.21 Intermediate Status:
% 1.84/2.21 Generated: 23335
% 1.84/2.21 Kept: 6064
% 1.84/2.21 Inuse: 461
% 1.84/2.21 Deleted: 0
% 1.84/2.21 Deletedinuse: 0
% 1.84/2.21
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 256285 integers for termspace/termends
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21
% 1.84/2.21 Intermediate Status:
% 1.84/2.21 Generated: 31404
% 1.84/2.21 Kept: 8171
% 1.84/2.21 Inuse: 556
% 1.84/2.21 Deleted: 0
% 1.84/2.21 Deletedinuse: 0
% 1.84/2.21
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 576640 integers for clauses
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21
% 1.84/2.21 Intermediate Status:
% 1.84/2.21 Generated: 36655
% 1.84/2.21 Kept: 10251
% 1.84/2.21 Inuse: 736
% 1.84/2.21 Deleted: 0
% 1.84/2.21 Deletedinuse: 0
% 1.84/2.21
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 384427 integers for termspace/termends
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21
% 1.84/2.21 Intermediate Status:
% 1.84/2.21 Generated: 44637
% 1.84/2.21 Kept: 12358
% 1.84/2.21 Inuse: 805
% 1.84/2.21 Deleted: 13
% 1.84/2.21 Deletedinuse: 12
% 1.84/2.21
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21 *** allocated 864960 integers for clauses
% 1.84/2.21 Resimplifying inuse:
% 1.84/2.21 Done
% 1.84/2.21
% 1.84/2.21
% 1.84/2.21 Bliksems!, er is een bewijs:
% 1.84/2.21 % SZS status Theorem
% 1.84/2.21 % SZS output start Refutation
% 1.84/2.21
% 1.84/2.21 (171) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.84/2.21 (176) {G1,W11,D3,L3,V1,M3} I;r(171) { ! leq( n0, X ), ! leq( X, n4 ),
% 1.84/2.21 a_select2( sigmaold_init, X ) ==> init }.
% 1.84/2.21 (177) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.84/2.21 (178) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.84/2.21 (179) {G0,W5,D3,L1,V0,M1} I { ! a_select2( sigmaold_init, skol15 ) ==> init
% 1.84/2.21 }.
% 1.84/2.21 (13935) {G2,W5,D3,L1,V0,M1} R(176,177);r(178) { a_select2( sigmaold_init,
% 1.84/2.21 skol15 ) ==> init }.
% 1.84/2.21 (13974) {G3,W0,D0,L0,V0,M0} S(179);d(13935);q { }.
% 1.84/2.21
% 1.84/2.21
% 1.84/2.21 % SZS output end Refutation
% 1.84/2.21 found a proof!
% 1.84/2.21
% 1.84/2.21
% 1.84/2.21 Unprocessed initial clauses:
% 1.84/2.21
% 1.84/2.21 (13976) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.84/2.21 (13977) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.84/2.21 (13978) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.84/2.21 (13979) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.84/2.21 (13980) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.84/2.21 }.
% 1.84/2.21 (13981) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.84/2.21 (13982) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.84/2.21 (13983) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (13984) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.84/2.21 (13985) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.84/2.21 (13986) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.84/2.21 (13987) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.84/2.21 (13988) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.84/2.21 (13989) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.84/2.21 (13990) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.84/2.21 (13991) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.84/2.21 (13992) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.84/2.21 (13993) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.84/2.21 , X ) }.
% 1.84/2.21 (13994) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.84/2.21 , X ) ) }.
% 1.84/2.21 (13995) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.84/2.21 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.84/2.21 (13996) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.84/2.21 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.84/2.21 V0 ), X, T ) = V0 }.
% 1.84/2.21 (13997) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.84/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.84/2.21 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.84/2.21 (13998) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.84/2.21 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.84/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.84/2.21 = a_select3( trans( X ), T, Z ) }.
% 1.84/2.21 (13999) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.84/2.21 (14000) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14001) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14002) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha10( X, Y, Z ) }.
% 1.84/2.21 (14003) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14004) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14005) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14006) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.84/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.84/2.21 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.84/2.21 (14007) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.84/2.21 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.84/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.84/2.21 a_select3( inv( X ), T, Z ) }.
% 1.84/2.21 (14008) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.84/2.21 (14009) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14010) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14011) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha11( X, Y, Z ) }.
% 1.84/2.21 (14012) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14013) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14014) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14015) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.84/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.84/2.21 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.84/2.21 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.84/2.21 (14016) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.84/2.21 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.84/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.84/2.21 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.84/2.21 ( X, U, U, W ), T, Z ) }.
% 1.84/2.21 (14017) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.84/2.21 (14018) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14019) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14020) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha12( X, Y, Z ) }.
% 1.84/2.21 (14021) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14022) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14023) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14024) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.84/2.21 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.84/2.21 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.84/2.21 ), U, T ) }.
% 1.84/2.21 (14025) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.84/2.21 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.84/2.21 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.84/2.21 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.84/2.21 (14026) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.84/2.21 (14027) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14028) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14029) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha22( X, Y, Z ) }.
% 1.84/2.21 (14030) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14031) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14032) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14033) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.84/2.21 , skol20( X, Y ) ) }.
% 1.84/2.21 (14034) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.84/2.21 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.84/2.21 }.
% 1.84/2.21 (14035) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.84/2.21 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.84/2.21 (14036) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.84/2.21 (14037) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14038) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14039) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha23( X, Y, Z ) }.
% 1.84/2.21 (14040) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14041) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14042) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14043) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.84/2.21 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.84/2.21 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.84/2.21 ), U, T ) }.
% 1.84/2.21 (14044) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.84/2.21 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.84/2.21 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.84/2.21 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.84/2.21 (14045) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.84/2.21 (14046) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14047) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14048) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha24( X, Y, Z ) }.
% 1.84/2.21 (14049) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14050) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14051) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14052) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.84/2.21 , skol22( X, Y ) ) }.
% 1.84/2.21 (14053) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.84/2.21 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.84/2.21 }.
% 1.84/2.21 (14054) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.84/2.21 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.84/2.21 (14055) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.84/2.21 (14056) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14057) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14058) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha25( X, Y, Z ) }.
% 1.84/2.21 (14059) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14060) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14061) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14062) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.84/2.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.84/2.21 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.84/2.21 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.84/2.21 (14063) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.84/2.21 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.84/2.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.84/2.21 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.84/2.21 ( X, trans( U ) ) ), T, Z ) }.
% 1.84/2.21 (14064) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.84/2.21 (14065) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14066) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14067) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha17( X, Y, Z ) }.
% 1.84/2.21 (14068) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14069) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14070) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14071) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.84/2.21 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.84/2.21 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.84/2.21 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.84/2.21 (14072) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.84/2.21 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.84/2.21 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.84/2.21 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.84/2.21 ( X, trans( W ) ) ), T, Z ) }.
% 1.84/2.21 (14073) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.84/2.21 (14074) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14075) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14076) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha18( X, Y, Z ) }.
% 1.84/2.21 (14077) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14078) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14079) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14080) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.84/2.21 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.84/2.21 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.84/2.21 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.84/2.21 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.84/2.21 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.84/2.21 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.84/2.21 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.84/2.21 (14081) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.84/2.21 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.84/2.21 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.84/2.21 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.84/2.21 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.84/2.21 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.84/2.21 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.84/2.21 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.84/2.21 ) ), W, U ) }.
% 1.84/2.21 (14082) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.84/2.21 (14083) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14084) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14085) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha29( X, Y, Z ) }.
% 1.84/2.21 (14086) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14087) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14088) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14089) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.84/2.21 ), skol26( X, Y ) ) }.
% 1.84/2.21 (14090) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.84/2.21 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.84/2.21 }.
% 1.84/2.21 (14091) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.84/2.21 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.84/2.21 (14092) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.84/2.21 (14093) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14094) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14095) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha30( X, Y, Z ) }.
% 1.84/2.21 (14096) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14097) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14098) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14099) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.84/2.21 skol27( X, Y ) ) }.
% 1.84/2.21 (14100) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.84/2.21 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.84/2.21 (14101) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.84/2.21 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.84/2.21 (14102) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.84/2.21 (14103) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.84/2.21 (14104) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.84/2.21 (14105) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.84/2.21 , X ), alpha28( X, Y, Z ) }.
% 1.84/2.21 (14106) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14107) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.84/2.21 (14108) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.84/2.21 ) }.
% 1.84/2.21 (14109) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.84/2.21 (14110) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.84/2.21 }.
% 1.84/2.21 (14111) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.84/2.21 (14112) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.84/2.21 (14113) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.84/2.21 (14114) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.84/2.21 (14115) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.84/2.21 (14116) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.84/2.21 }.
% 1.84/2.21 (14117) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.84/2.21 }.
% 1.84/2.21 (14118) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.84/2.21 ) ) ) }.
% 1.84/2.21 (14119) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.84/2.21 ) ) ) }.
% 1.84/2.21 (14120) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.84/2.21 succ( X ) ) ) ) ) }.
% 1.84/2.21 (14121) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.84/2.21 succ( X ) ) ) ) ) }.
% 1.84/2.21 (14122) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.84/2.21 (14123) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.84/2.21 (14124) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.84/2.21 (14125) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.84/2.21 }.
% 1.84/2.21 (14126) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.84/2.21 }.
% 1.84/2.21 (14127) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.84/2.21 (14128) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.84/2.21 (14129) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.84/2.21 ) = T }.
% 1.84/2.21 (14130) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.84/2.21 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.84/2.21 (14131) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.84/2.21 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.84/2.21 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.84/2.21 (14132) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.84/2.21 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.84/2.21 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.84/2.21 (14133) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.84/2.21 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.84/2.21 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.84/2.21 (14134) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.84/2.21 (14135) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.84/2.21 (14136) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.84/2.21 , Y, Z ) }.
% 1.84/2.21 (14137) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.84/2.21 (14138) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.84/2.21 (14139) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.84/2.22 ) }.
% 1.84/2.22 (14140) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.84/2.22 }.
% 1.84/2.22 (14141) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.84/2.22 tptp_update2( Z, X, U ), Y ) = T }.
% 1.84/2.22 (14142) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.84/2.22 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.84/2.22 (14143) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.84/2.22 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.84/2.22 (14144) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.84/2.22 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.84/2.22 }.
% 1.84/2.22 (14145) {G0,W1,D1,L1,V0,M1} { true }.
% 1.84/2.22 (14146) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.84/2.22 (14147) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.84/2.22 (14148) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 1.84/2.22 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 1.84/2.22 (14149) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 1.84/2.22 center_init, X, n0 ) = init }.
% 1.84/2.22 (14150) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.84/2.22 leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 1.84/2.22 (14151) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.84/2.22 leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 1.84/2.22 (14152) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 1.84/2.22 leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 1.84/2.22 (14153) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.84/2.22 (14154) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.84/2.22 (14155) {G0,W5,D3,L1,V0,M1} { ! a_select2( sigmaold_init, skol15 ) = init
% 1.84/2.22 }.
% 1.84/2.22 (14156) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.84/2.22 (14157) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.84/2.22 (14158) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.84/2.22 (14159) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.84/2.22 (14160) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.84/2.22 (14161) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.84/2.22 (14162) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.84/2.22 (14163) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.84/2.22 (14164) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.84/2.22 (14165) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.84/2.22 (14166) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.84/2.22 (14167) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.84/2.22 (14168) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.84/2.22 (14169) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.84/2.22 (14170) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.84/2.22 (14171) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.84/2.22 (14172) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.84/2.22 (14173) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.84/2.22 (14174) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.84/2.22 (14175) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.84/2.22 (14176) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.84/2.22 (14177) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.84/2.22 (14178) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.84/2.22 (14179) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.84/2.22 (14180) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.84/2.22 (14181) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.84/2.22 (14182) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.84/2.22 (14183) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.84/2.22 (14184) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.84/2.22 n1, X = n2, X = n3, X = n4 }.
% 1.84/2.22 (14185) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.84/2.22 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.84/2.22 (14186) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.84/2.22 (14187) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.84/2.22 n1 }.
% 1.84/2.22 (14188) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.84/2.22 n1, X = n2 }.
% 1.84/2.22 (14189) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.84/2.22 n1, X = n2, X = n3 }.
% 1.84/2.22 (14190) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.84/2.22 (14191) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.84/2.22 n5 }.
% 1.84/2.22 (14192) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.84/2.22 (14193) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.84/2.22 (14194) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.84/2.22
% 1.84/2.22
% 1.84/2.22 Total Proof:
% 1.84/2.22
% 1.84/2.22 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.84/2.22 parent0: (14147) {G0,W3,D2,L1,V0,M1} { gt( loopcounter, n1 ) }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 permutation0:
% 1.84/2.23 0 ==> 0
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 resolution: (15268) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 )
% 1.84/2.23 , a_select2( sigmaold_init, X ) = init }.
% 1.84/2.23 parent0[0]: (14152) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq
% 1.84/2.23 ( n0, X ), ! leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 1.84/2.23 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { gt( loopcounter, n1 ) }.
% 1.84/2.23 substitution0:
% 1.84/2.23 X := X
% 1.84/2.23 end
% 1.84/2.23 substitution1:
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 subsumption: (176) {G1,W11,D3,L3,V1,M3} I;r(171) { ! leq( n0, X ), ! leq( X
% 1.84/2.23 , n4 ), a_select2( sigmaold_init, X ) ==> init }.
% 1.84/2.23 parent0: (15268) {G1,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ),
% 1.84/2.23 a_select2( sigmaold_init, X ) = init }.
% 1.84/2.23 substitution0:
% 1.84/2.23 X := X
% 1.84/2.23 end
% 1.84/2.23 permutation0:
% 1.84/2.23 0 ==> 0
% 1.84/2.23 1 ==> 1
% 1.84/2.23 2 ==> 2
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 *** allocated 576640 integers for termspace/termends
% 1.84/2.23 subsumption: (177) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.84/2.23 parent0: (14153) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 permutation0:
% 1.84/2.23 0 ==> 0
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 subsumption: (178) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.84/2.23 parent0: (14154) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 permutation0:
% 1.84/2.23 0 ==> 0
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 subsumption: (179) {G0,W5,D3,L1,V0,M1} I { ! a_select2( sigmaold_init,
% 1.84/2.23 skol15 ) ==> init }.
% 1.84/2.23 parent0: (14155) {G0,W5,D3,L1,V0,M1} { ! a_select2( sigmaold_init, skol15
% 1.84/2.23 ) = init }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 permutation0:
% 1.84/2.23 0 ==> 0
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 eqswap: (16885) {G1,W11,D3,L3,V1,M3} { init ==> a_select2( sigmaold_init,
% 1.84/2.23 X ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.84/2.23 parent0[2]: (176) {G1,W11,D3,L3,V1,M3} I;r(171) { ! leq( n0, X ), ! leq( X
% 1.84/2.23 , n4 ), a_select2( sigmaold_init, X ) ==> init }.
% 1.84/2.23 substitution0:
% 1.84/2.23 X := X
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 resolution: (16886) {G1,W8,D3,L2,V0,M2} { init ==> a_select2(
% 1.84/2.23 sigmaold_init, skol15 ), ! leq( skol15, n4 ) }.
% 1.84/2.23 parent0[1]: (16885) {G1,W11,D3,L3,V1,M3} { init ==> a_select2(
% 1.84/2.23 sigmaold_init, X ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 1.84/2.23 parent1[0]: (177) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.84/2.23 substitution0:
% 1.84/2.23 X := skol15
% 1.84/2.23 end
% 1.84/2.23 substitution1:
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 resolution: (16887) {G1,W5,D3,L1,V0,M1} { init ==> a_select2(
% 1.84/2.23 sigmaold_init, skol15 ) }.
% 1.84/2.23 parent0[1]: (16886) {G1,W8,D3,L2,V0,M2} { init ==> a_select2(
% 1.84/2.23 sigmaold_init, skol15 ), ! leq( skol15, n4 ) }.
% 1.84/2.23 parent1[0]: (178) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 substitution1:
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 eqswap: (16888) {G1,W5,D3,L1,V0,M1} { a_select2( sigmaold_init, skol15 )
% 1.84/2.23 ==> init }.
% 1.84/2.23 parent0[0]: (16887) {G1,W5,D3,L1,V0,M1} { init ==> a_select2(
% 1.84/2.23 sigmaold_init, skol15 ) }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 subsumption: (13935) {G2,W5,D3,L1,V0,M1} R(176,177);r(178) { a_select2(
% 1.84/2.23 sigmaold_init, skol15 ) ==> init }.
% 1.84/2.23 parent0: (16888) {G1,W5,D3,L1,V0,M1} { a_select2( sigmaold_init, skol15 )
% 1.84/2.23 ==> init }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 permutation0:
% 1.84/2.23 0 ==> 0
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 paramod: (16891) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.84/2.23 parent0[0]: (13935) {G2,W5,D3,L1,V0,M1} R(176,177);r(178) { a_select2(
% 1.84/2.23 sigmaold_init, skol15 ) ==> init }.
% 1.84/2.23 parent1[0; 2]: (179) {G0,W5,D3,L1,V0,M1} I { ! a_select2( sigmaold_init,
% 1.84/2.23 skol15 ) ==> init }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 substitution1:
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 eqrefl: (16892) {G0,W0,D0,L0,V0,M0} { }.
% 1.84/2.23 parent0[0]: (16891) {G1,W3,D2,L1,V0,M1} { ! init ==> init }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 subsumption: (13974) {G3,W0,D0,L0,V0,M0} S(179);d(13935);q { }.
% 1.84/2.23 parent0: (16892) {G0,W0,D0,L0,V0,M0} { }.
% 1.84/2.23 substitution0:
% 1.84/2.23 end
% 1.84/2.23 permutation0:
% 1.84/2.23 end
% 1.84/2.23
% 1.84/2.23 Proof check complete!
% 1.84/2.23
% 1.84/2.23 Memory use:
% 1.84/2.23
% 1.84/2.23 space for terms: 341055
% 1.84/2.23 space for clauses: 621590
% 1.84/2.23
% 1.84/2.23
% 1.84/2.23 clauses generated: 48316
% 1.84/2.23 clauses kept: 13975
% 1.84/2.23 clauses selected: 858
% 1.84/2.23 clauses deleted: 15
% 1.84/2.23 clauses inuse deleted: 12
% 1.84/2.23
% 1.84/2.23 subsentry: 153430
% 1.84/2.23 literals s-matched: 67343
% 1.84/2.23 literals matched: 55533
% 1.84/2.23 full subsumption: 39499
% 1.84/2.23
% 1.84/2.23 checksum: 2034698353
% 1.84/2.23
% 1.84/2.23
% 1.84/2.23 Bliksem ended
%------------------------------------------------------------------------------