TSTP Solution File: SWV168+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV168+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 16:22:47 EDT 2022
% Result : Theorem 14.03s 14.47s
% Output : Refutation 14.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV168+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 16:44:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 *** allocated 15000 integers for termspace/termends
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09
% 0.69/1.09 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.69/1.09 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.69/1.09 { ! gt( X, X ) }.
% 0.69/1.09 { leq( X, X ) }.
% 0.69/1.09 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.69/1.09 { ! lt( X, Y ), gt( Y, X ) }.
% 0.69/1.09 { ! gt( Y, X ), lt( X, Y ) }.
% 0.69/1.09 { ! geq( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( Y, X ), geq( X, Y ) }.
% 0.69/1.09 { ! gt( Y, X ), leq( X, Y ) }.
% 0.69/1.09 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.69/1.09 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.69/1.09 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.69/1.09 { gt( succ( X ), X ) }.
% 0.69/1.09 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.69/1.09 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.69/1.09 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.69/1.09 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.69/1.09 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.69/1.09 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.69/1.09 T ), X ) = T }.
% 0.69/1.09 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.69/1.09 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.69/1.09 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.69/1.09 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.69/1.09 a_select3( trans( X ), T, Z ) }.
% 0.69/1.09 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.69/1.09 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.69/1.09 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.69/1.09 ) }.
% 0.69/1.09 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.69/1.09 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.69/1.09 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.69/1.09 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.69/1.09 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.69/1.09 a_select3( inv( X ), T, Z ) }.
% 0.69/1.09 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.69/1.09 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.69/1.09 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.69/1.09 .
% 0.69/1.09 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.69/1.09 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.69/1.09 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.69/1.09 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.69/1.09 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.69/1.09 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.69/1.09 X, U, U, W ), T, Z ) }.
% 0.69/1.09 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.69/1.09 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.69/1.09 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.69/1.09 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.69/1.09 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.69/1.09 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.69/1.09 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.69/1.09 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.69/1.09 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.69/1.09 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.69/1.09 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.69/1.09 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.69/1.09 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.69/1.09 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.69/1.09 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.69/1.09 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.69/1.09 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.69/1.09 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.69/1.09 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.69/1.09 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.69/1.09 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.69/1.09 ( X, Y ) }.
% 0.69/1.09 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.69/1.09 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.69/1.09 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.69/1.09 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.69/1.09 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.69/1.09 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.69/1.09 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.69/1.09 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.69/1.09 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.69/1.09 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.69/1.09 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.69/1.09 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.69/1.09 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.69/1.09 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.69/1.09 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.69/1.09 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.69/1.09 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.69/1.09 ( X, Y ) }.
% 0.69/1.09 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.69/1.09 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.69/1.09 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.69/1.09 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.69/1.09 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.69/1.09 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.69/1.09 U ) ) ), T, Z ) }.
% 0.69/1.09 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.69/1.09 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.69/1.09 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.69/1.09 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.69/1.09 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.69/1.09 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.69/1.09 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.69/1.09 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.69/1.09 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.69/1.09 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.69/1.09 W ) ) ), T, Z ) }.
% 0.69/1.09 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.69/1.09 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.69/1.09 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.69/1.09 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.69/1.09 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.69/1.09 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.69/1.09 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.69/1.09 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.69/1.09 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.69/1.09 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.69/1.09 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.69/1.09 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.69/1.09 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.69/1.09 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.69/1.09 ) }.
% 0.69/1.09 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.69/1.09 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.69/1.09 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.69/1.09 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.69/1.09 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.69/1.09 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.69/1.09 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.69/1.09 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.69/1.09 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.69/1.09 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.69/1.09 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.69/1.09 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.69/1.09 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.69/1.09 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.69/1.09 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.69/1.09 alpha19( X, Y ) }.
% 0.69/1.09 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.69/1.09 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.69/1.09 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.69/1.09 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.69/1.09 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.69/1.09 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.69/1.09 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.69/1.09 ), alpha8( X ) }.
% 0.69/1.09 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.69/1.09 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.69/1.09 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.69/1.09 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.69/1.09 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.69/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.69/1.09 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.69/1.09 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.69/1.09 { succ( tptp_minus_1 ) = n0 }.
% 0.69/1.09 { plus( X, n1 ) = succ( X ) }.
% 0.69/1.09 { plus( n1, X ) = succ( X ) }.
% 0.69/1.09 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.69/1.09 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.69/1.09 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.69/1.09 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.69/1.09 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.69/1.09 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.69/1.09 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.69/1.09 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.69/1.09 { minus( X, n1 ) = pred( X ) }.
% 0.69/1.09 { pred( succ( X ) ) = X }.
% 0.69/1.09 { succ( pred( X ) ) = X }.
% 0.69/1.09 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.69/1.09 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.69/1.09 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.69/1.09 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.69/1.09 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.69/1.09 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.69/1.09 , Y, V0 ), Z, T ) = W }.
% 0.69/1.09 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.69/1.09 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.69/1.09 }.
% 0.69/1.09 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.69/1.09 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.69/1.09 U, Z, T, W ), X, Y ) = W }.
% 0.69/1.09 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.69/1.09 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.69/1.09 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.69/1.09 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.69/1.09 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.69/1.09 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.69/1.09 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.69/1.09 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.69/1.09 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.69/1.09 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.69/1.09 T }.
% 0.69/1.09 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.69/1.09 tptp_update2( Z, Y, T ), X ) = T }.
% 0.69/1.09 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.69/1.09 tptp_update2( Z, Y, T ), X ) = T }.
% 0.69/1.09 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.69/1.09 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.69/1.09 { true }.
% 0.69/1.09 { ! def = use }.
% 0.69/1.09 { a_select2( mu_init, pv40 ) = init }.
% 0.69/1.09 { leq( n0, pv40 ) }.
% 0.69/1.09 { leq( n0, pv46 ) }.
% 0.69/1.09 { leq( pv40, n4 ) }.
% 0.69/1.09 { leq( pv46, n135299 ) }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.69/1.09 a_select3( q_init, X, Y ) = init }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( mu_init, X ) = init
% 0.69/1.09 }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( sigma_init, X ) =
% 0.69/1.09 init }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.69/1.09 .
% 0.69/1.09 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.69/1.09 muold_init, X ) = init }.
% 0.69/1.09 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.69/1.09 rhoold_init, X ) = init }.
% 0.69/1.09 { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.69/1.09 sigmaold_init, X ) = init }.
% 0.69/1.09 { ! a_select3( q_init, pv46, pv40 ) = init }.
% 0.69/1.09 { gt( n5, n4 ) }.
% 0.69/1.09 { gt( n135299, n4 ) }.
% 0.69/1.09 { gt( n135299, n5 ) }.
% 0.69/1.09 { gt( n4, tptp_minus_1 ) }.
% 0.69/1.09 { gt( n5, tptp_minus_1 ) }.
% 0.69/1.09 { gt( n135299, tptp_minus_1 ) }.
% 0.69/1.09 { gt( n0, tptp_minus_1 ) }.
% 0.69/1.09 { gt( n1, tptp_minus_1 ) }.
% 0.69/1.09 { gt( n2, tptp_minus_1 ) }.
% 0.69/1.09 { gt( n3, tptp_minus_1 ) }.
% 0.69/1.09 { gt( n4, n0 ) }.
% 0.69/1.09 { gt( n5, n0 ) }.
% 0.69/1.09 { gt( n135299, n0 ) }.
% 0.69/1.09 { gt( n1, n0 ) }.
% 0.69/1.09 { gt( n2, n0 ) }.
% 0.69/1.09 { gt( n3, n0 ) }.
% 0.69/1.09 { gt( n4, n1 ) }.
% 0.69/1.09 { gt( n5, n1 ) }.
% 0.69/1.09 { gt( n135299, n1 ) }.
% 0.69/1.09 { gt( n2, n1 ) }.
% 0.69/1.09 { gt( n3, n1 ) }.
% 0.69/1.09 { gt( n4, n2 ) }.
% 0.69/1.09 { gt( n5, n2 ) }.
% 0.69/1.09 { gt( n135299, n2 ) }.
% 0.69/1.09 { gt( n3, n2 ) }.
% 0.69/1.09 { gt( n4, n3 ) }.
% 0.69/1.09 { gt( n5, n3 ) }.
% 0.69/1.09 { gt( n135299, n3 ) }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.69/1.09 .
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.69/1.09 = n5 }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.69/1.09 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.69/1.09 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.69/1.09 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.69/1.09 { succ( n0 ) = n1 }.
% 0.69/1.09 { succ( succ( n0 ) ) = n2 }.
% 0.69/1.09 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.69/1.09
% 0.69/1.09 percentage equality = 0.186949, percentage horn = 0.875000
% 0.69/1.09 This is a problem with some equality
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 1
% 0.69/1.09 useeqrefl = 1
% 0.69/1.09 useeqfact = 1
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 5
% 0.69/1.09 usesimpres = 3
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = eqrewr
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.09
% 0.69/1.09 termordering = kbo
% 0.69/1.09
% 0.69/1.09 litapriori = 0
% 0.69/1.09 termapriori = 1
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = negord
% 0.69/1.09
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 1
% 0.69/1.09 increasemaxweight = 1
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 0
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:0, o:59, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 14.03/14.46 gt [37, 2] (w:1, o:94, a:1, s:1, b:0),
% 14.03/14.46 leq [39, 2] (w:1, o:95, a:1, s:1, b:0),
% 14.03/14.46 lt [40, 2] (w:1, o:96, a:1, s:1, b:0),
% 14.03/14.46 geq [41, 2] (w:1, o:97, a:1, s:1, b:0),
% 14.03/14.46 pred [42, 1] (w:1, o:64, a:1, s:1, b:0),
% 14.03/14.46 succ [43, 1] (w:1, o:65, a:1, s:1, b:0),
% 14.03/14.46 n0 [45, 0] (w:1, o:15, a:1, s:1, b:0),
% 14.03/14.46 uniform_int_rnd [46, 2] (w:1, o:126, a:1, s:1, b:0),
% 14.03/14.46 dim [51, 2] (w:1, o:127, a:1, s:1, b:0),
% 14.03/14.46 tptp_const_array1 [52, 2] (w:1, o:122, a:1, s:1, b:0),
% 14.03/14.46 a_select2 [53, 2] (w:1, o:128, a:1, s:1, b:0),
% 14.03/14.46 tptp_const_array2 [59, 3] (w:1, o:149, a:1, s:1, b:0),
% 14.03/14.46 a_select3 [60, 3] (w:1, o:150, a:1, s:1, b:0),
% 14.03/14.46 trans [63, 1] (w:1, o:67, a:1, s:1, b:0),
% 14.03/14.46 inv [64, 1] (w:1, o:68, a:1, s:1, b:0),
% 14.03/14.46 tptp_update3 [67, 4] (w:1, o:167, a:1, s:1, b:0),
% 14.03/14.46 tptp_madd [69, 2] (w:1, o:123, a:1, s:1, b:0),
% 14.03/14.46 tptp_msub [70, 2] (w:1, o:124, a:1, s:1, b:0),
% 14.03/14.46 tptp_mmul [71, 2] (w:1, o:125, a:1, s:1, b:0),
% 14.03/14.46 tptp_minus_1 [77, 0] (w:1, o:39, a:1, s:1, b:0),
% 14.03/14.46 sum [78, 3] (w:1, o:147, a:1, s:1, b:0),
% 14.03/14.46 tptp_float_0_0 [79, 0] (w:1, o:40, a:1, s:1, b:0),
% 14.03/14.46 n1 [80, 0] (w:1, o:41, a:1, s:1, b:0),
% 14.03/14.46 plus [81, 2] (w:1, o:129, a:1, s:1, b:0),
% 14.03/14.46 n2 [82, 0] (w:1, o:43, a:1, s:1, b:0),
% 14.03/14.46 n3 [83, 0] (w:1, o:44, a:1, s:1, b:0),
% 14.03/14.46 n4 [84, 0] (w:1, o:45, a:1, s:1, b:0),
% 14.03/14.46 n5 [85, 0] (w:1, o:46, a:1, s:1, b:0),
% 14.03/14.46 minus [86, 2] (w:1, o:130, a:1, s:1, b:0),
% 14.03/14.46 tptp_update2 [91, 3] (w:1, o:151, a:1, s:1, b:0),
% 14.03/14.46 true [92, 0] (w:1, o:49, a:1, s:1, b:0),
% 14.03/14.46 def [93, 0] (w:1, o:51, a:1, s:1, b:0),
% 14.03/14.46 use [94, 0] (w:1, o:52, a:1, s:1, b:0),
% 14.03/14.46 mu_init [95, 0] (w:1, o:13, a:1, s:1, b:0),
% 14.03/14.46 pv40 [96, 0] (w:1, o:53, a:1, s:1, b:0),
% 14.03/14.46 init [97, 0] (w:1, o:54, a:1, s:1, b:0),
% 14.03/14.46 pv46 [98, 0] (w:1, o:55, a:1, s:1, b:0),
% 14.03/14.46 n135299 [99, 0] (w:1, o:42, a:1, s:1, b:0),
% 14.03/14.46 q_init [100, 0] (w:1, o:56, a:1, s:1, b:0),
% 14.03/14.46 rho_init [101, 0] (w:1, o:57, a:1, s:1, b:0),
% 14.03/14.46 sigma_init [102, 0] (w:1, o:37, a:1, s:1, b:0),
% 14.03/14.46 center_init [103, 0] (w:1, o:50, a:1, s:1, b:0),
% 14.03/14.46 loopcounter [104, 0] (w:1, o:12, a:1, s:1, b:0),
% 14.03/14.46 muold_init [106, 0] (w:1, o:14, a:1, s:1, b:0),
% 14.03/14.46 rhoold_init [108, 0] (w:1, o:36, a:1, s:1, b:0),
% 14.03/14.46 sigmaold_init [109, 0] (w:1, o:38, a:1, s:1, b:0),
% 14.03/14.46 alpha1 [110, 2] (w:1, o:131, a:1, s:1, b:1),
% 14.03/14.46 alpha2 [111, 2] (w:1, o:137, a:1, s:1, b:1),
% 14.03/14.46 alpha3 [112, 2] (w:1, o:141, a:1, s:1, b:1),
% 14.03/14.46 alpha4 [113, 2] (w:1, o:142, a:1, s:1, b:1),
% 14.03/14.46 alpha5 [114, 2] (w:1, o:143, a:1, s:1, b:1),
% 14.03/14.46 alpha6 [115, 2] (w:1, o:144, a:1, s:1, b:1),
% 14.03/14.46 alpha7 [116, 2] (w:1, o:145, a:1, s:1, b:1),
% 14.03/14.46 alpha8 [117, 1] (w:1, o:69, a:1, s:1, b:1),
% 14.03/14.46 alpha9 [118, 2] (w:1, o:146, a:1, s:1, b:1),
% 14.03/14.46 alpha10 [119, 3] (w:1, o:152, a:1, s:1, b:1),
% 14.03/14.46 alpha11 [120, 3] (w:1, o:153, a:1, s:1, b:1),
% 14.03/14.46 alpha12 [121, 3] (w:1, o:154, a:1, s:1, b:1),
% 14.03/14.46 alpha13 [122, 2] (w:1, o:132, a:1, s:1, b:1),
% 14.03/14.46 alpha14 [123, 2] (w:1, o:133, a:1, s:1, b:1),
% 14.03/14.46 alpha15 [124, 2] (w:1, o:134, a:1, s:1, b:1),
% 14.03/14.46 alpha16 [125, 2] (w:1, o:135, a:1, s:1, b:1),
% 14.03/14.46 alpha17 [126, 3] (w:1, o:155, a:1, s:1, b:1),
% 14.03/14.46 alpha18 [127, 3] (w:1, o:156, a:1, s:1, b:1),
% 14.03/14.46 alpha19 [128, 2] (w:1, o:136, a:1, s:1, b:1),
% 14.03/14.46 alpha20 [129, 2] (w:1, o:138, a:1, s:1, b:1),
% 14.03/14.46 alpha21 [130, 3] (w:1, o:157, a:1, s:1, b:1),
% 14.03/14.46 alpha22 [131, 3] (w:1, o:158, a:1, s:1, b:1),
% 14.03/14.46 alpha23 [132, 3] (w:1, o:159, a:1, s:1, b:1),
% 14.03/14.46 alpha24 [133, 3] (w:1, o:160, a:1, s:1, b:1),
% 14.03/14.46 alpha25 [134, 3] (w:1, o:161, a:1, s:1, b:1),
% 14.03/14.46 alpha26 [135, 2] (w:1, o:139, a:1, s:1, b:1),
% 14.03/14.46 alpha27 [136, 2] (w:1, o:140, a:1, s:1, b:1),
% 14.03/14.46 alpha28 [137, 3] (w:1, o:162, a:1, s:1, b:1),
% 14.03/14.46 alpha29 [138, 3] (w:1, o:163, a:1, s:1, b:1),
% 14.03/14.46 alpha30 [139, 3] (w:1, o:164, a:1, s:1, b:1),
% 14.03/14.46 skol1 [140, 2] (w:1, o:98, a:1, s:1, b:1),
% 14.03/14.46 skol2 [141, 2] (w:1, o:107, a:1, s:1, b:1),
% 14.03/14.46 skol3 [142, 2] (w:1, o:115, a:1, s:1, b:1),
% 14.03/14.47 skol4 [143, 2] (w:1, o:116, a:1, s:1, b:1),
% 14.03/14.47 skol5 [144, 2] (w:1, o:117, a:1, s:1, b:1),
% 14.03/14.47 skol6 [145, 2] (w:1, o:118, a:1, s:1, b:1),
% 14.03/14.47 skol7 [146, 2] (w:1, o:119, a:1, s:1, b:1),
% 14.03/14.47 skol8 [147, 2] (w:1, o:120, a:1, s:1, b:1),
% 14.03/14.47 skol9 [148, 2] (w:1, o:121, a:1, s:1, b:1),
% 14.03/14.47 skol10 [149, 2] (w:1, o:99, a:1, s:1, b:1),
% 14.03/14.47 skol11 [150, 2] (w:1, o:100, a:1, s:1, b:1),
% 14.03/14.47 skol12 [151, 2] (w:1, o:101, a:1, s:1, b:1),
% 14.03/14.47 skol13 [152, 4] (w:1, o:165, a:1, s:1, b:1),
% 14.03/14.47 skol14 [153, 3] (w:1, o:148, a:1, s:1, b:1),
% 14.03/14.47 skol15 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 14.03/14.47 skol16 [155, 2] (w:1, o:103, a:1, s:1, b:1),
% 14.03/14.47 skol17 [156, 2] (w:1, o:104, a:1, s:1, b:1),
% 14.03/14.47 skol18 [157, 2] (w:1, o:105, a:1, s:1, b:1),
% 14.03/14.47 skol19 [158, 2] (w:1, o:106, a:1, s:1, b:1),
% 14.03/14.47 skol20 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 14.03/14.47 skol21 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 14.03/14.47 skol22 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 14.03/14.47 skol23 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 14.03/14.47 skol24 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 14.03/14.47 skol25 [164, 2] (w:1, o:113, a:1, s:1, b:1),
% 14.03/14.47 skol26 [165, 2] (w:1, o:114, a:1, s:1, b:1),
% 14.03/14.47 skol27 [166, 4] (w:1, o:166, a:1, s:1, b:1),
% 14.03/14.47 skol28 [167, 1] (w:1, o:66, a:1, s:1, b:1).
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 Starting Search:
% 14.03/14.47
% 14.03/14.47 *** allocated 15000 integers for clauses
% 14.03/14.47 *** allocated 22500 integers for clauses
% 14.03/14.47 *** allocated 33750 integers for clauses
% 14.03/14.47 *** allocated 22500 integers for termspace/termends
% 14.03/14.47 *** allocated 50625 integers for clauses
% 14.03/14.47 *** allocated 75937 integers for clauses
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 33750 integers for termspace/termends
% 14.03/14.47 *** allocated 113905 integers for clauses
% 14.03/14.47 *** allocated 50625 integers for termspace/termends
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 7965
% 14.03/14.47 Kept: 2045
% 14.03/14.47 Inuse: 171
% 14.03/14.47 Deleted: 0
% 14.03/14.47 Deletedinuse: 0
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 170857 integers for clauses
% 14.03/14.47 *** allocated 75937 integers for termspace/termends
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 113905 integers for termspace/termends
% 14.03/14.47 *** allocated 256285 integers for clauses
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 16071
% 14.03/14.47 Kept: 4046
% 14.03/14.47 Inuse: 326
% 14.03/14.47 Deleted: 0
% 14.03/14.47 Deletedinuse: 0
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 170857 integers for termspace/termends
% 14.03/14.47 *** allocated 384427 integers for clauses
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 23240
% 14.03/14.47 Kept: 6055
% 14.03/14.47 Inuse: 456
% 14.03/14.47 Deleted: 0
% 14.03/14.47 Deletedinuse: 0
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 256285 integers for termspace/termends
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 31423
% 14.03/14.47 Kept: 8109
% 14.03/14.47 Inuse: 551
% 14.03/14.47 Deleted: 0
% 14.03/14.47 Deletedinuse: 0
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 576640 integers for clauses
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 36110
% 14.03/14.47 Kept: 10131
% 14.03/14.47 Inuse: 670
% 14.03/14.47 Deleted: 0
% 14.03/14.47 Deletedinuse: 0
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 384427 integers for termspace/termends
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 44382
% 14.03/14.47 Kept: 12200
% 14.03/14.47 Inuse: 795
% 14.03/14.47 Deleted: 13
% 14.03/14.47 Deletedinuse: 12
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 864960 integers for clauses
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 48898
% 14.03/14.47 Kept: 14321
% 14.03/14.47 Inuse: 864
% 14.03/14.47 Deleted: 14
% 14.03/14.47 Deletedinuse: 12
% 14.03/14.47
% 14.03/14.47 *** allocated 576640 integers for termspace/termends
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 133091
% 14.03/14.47 Kept: 17327
% 14.03/14.47 Inuse: 889
% 14.03/14.47 Deleted: 14
% 14.03/14.47 Deletedinuse: 12
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 864960 integers for termspace/termends
% 14.03/14.47
% 14.03/14.47 Intermediate Status:
% 14.03/14.47 Generated: 155969
% 14.03/14.47 Kept: 19452
% 14.03/14.47 Inuse: 904
% 14.03/14.47 Deleted: 14
% 14.03/14.47 Deletedinuse: 12
% 14.03/14.47
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 *** allocated 1297440 integers for clauses
% 14.03/14.47 Resimplifying inuse:
% 14.03/14.47 Done
% 14.03/14.47
% 14.03/14.47 Resimplifying clauses:
% 14.03/14.47
% 14.03/14.47 Bliksems!, er is een bewijs:
% 14.03/14.47 % SZS status Theorem
% 14.03/14.47 % SZS output start Refutation
% 14.03/14.47
% 14.03/14.47 (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv40 ) }.
% 14.03/14.47 (173) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv46 ) }.
% 14.03/14.47 (174) {G0,W3,D2,L1,V0,M1} I { leq( pv40, n4 ) }.
% 14.03/14.47 (175) {G0,W3,D2,L1,V0,M1} I { leq( pv46, n135299 ) }.
% 14.03/14.47 (176) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, n135299 ), ! leq(
% 14.03/14.47 n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==> init }.
% 14.03/14.47 (184) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, pv46, pv40 ) ==> init
% 14.03/14.47 }.
% 14.03/14.47 (14635) {G1,W9,D2,L3,V0,M3} R(184,176);r(173) { ! leq( pv46, n135299 ), !
% 14.03/14.47 leq( n0, pv40 ), ! leq( pv40, n4 ) }.
% 14.03/14.47 (20713) {G2,W0,D0,L0,V0,M0} S(14635);r(175);r(172);r(174) { }.
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 % SZS output end Refutation
% 14.03/14.47 found a proof!
% 14.03/14.47
% 14.03/14.47
% 14.03/14.47 Unprocessed initial clauses:
% 14.03/14.47
% 14.03/14.47 (20715) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 14.03/14.47 (20716) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 14.03/14.47 (20717) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 14.03/14.47 (20718) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 14.03/14.47 (20719) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 14.03/14.47 }.
% 14.03/14.47 (20720) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 14.03/14.47 (20721) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 14.03/14.47 (20722) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20723) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 14.03/14.47 (20724) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 14.03/14.47 (20725) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 14.03/14.47 (20726) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 14.03/14.47 (20727) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 14.03/14.47 (20728) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 14.03/14.47 (20729) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 14.03/14.47 (20730) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 14.03/14.47 (20731) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 14.03/14.47 (20732) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 14.03/14.47 , X ) }.
% 14.03/14.47 (20733) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 14.03/14.47 , X ) ) }.
% 14.03/14.47 (20734) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 14.03/14.47 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 14.03/14.47 (20735) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 14.03/14.47 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 14.03/14.47 V0 ), X, T ) = V0 }.
% 14.03/14.47 (20736) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 14.03/14.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.03/14.47 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 14.03/14.47 (20737) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 14.03/14.47 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 14.03/14.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 14.03/14.47 = a_select3( trans( X ), T, Z ) }.
% 14.03/14.47 (20738) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 14.03/14.47 (20739) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20740) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20741) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha10( X, Y, Z ) }.
% 14.03/14.47 (20742) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20743) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20744) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20745) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 14.03/14.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.03/14.47 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 14.03/14.47 (20746) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 14.03/14.47 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 14.03/14.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 14.03/14.47 a_select3( inv( X ), T, Z ) }.
% 14.03/14.47 (20747) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 14.03/14.47 (20748) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20749) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20750) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha11( X, Y, Z ) }.
% 14.03/14.47 (20751) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20752) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20753) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20754) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 14.03/14.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 14.03/14.47 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 14.03/14.47 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 14.03/14.47 (20755) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 14.03/14.47 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 14.03/14.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 14.03/14.47 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 14.03/14.47 ( X, U, U, W ), T, Z ) }.
% 14.03/14.47 (20756) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 14.03/14.47 (20757) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20758) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20759) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha12( X, Y, Z ) }.
% 14.03/14.47 (20760) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20761) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20762) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20763) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 14.03/14.47 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 14.03/14.47 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 14.03/14.47 ), U, T ) }.
% 14.03/14.47 (20764) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 14.03/14.47 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 14.03/14.47 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 14.03/14.47 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 14.03/14.47 (20765) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 14.03/14.47 (20766) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20767) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20768) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha22( X, Y, Z ) }.
% 14.03/14.47 (20769) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20770) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20771) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20772) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 14.03/14.47 , skol19( X, Y ) ) }.
% 14.03/14.47 (20773) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 14.03/14.47 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 14.03/14.47 }.
% 14.03/14.47 (20774) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 14.03/14.47 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 14.03/14.47 (20775) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 14.03/14.47 (20776) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20777) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20778) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha23( X, Y, Z ) }.
% 14.03/14.47 (20779) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20780) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20781) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20782) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 14.03/14.47 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 14.03/14.47 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 14.03/14.47 ), U, T ) }.
% 14.03/14.47 (20783) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 14.03/14.47 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 14.03/14.47 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 14.03/14.47 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 14.03/14.47 (20784) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 14.03/14.47 (20785) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20786) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20787) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha24( X, Y, Z ) }.
% 14.03/14.47 (20788) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20789) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20790) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20791) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 14.03/14.47 , skol21( X, Y ) ) }.
% 14.03/14.47 (20792) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 14.03/14.47 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 14.03/14.47 }.
% 14.03/14.47 (20793) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 14.03/14.47 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 14.03/14.47 (20794) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 14.03/14.47 (20795) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20796) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20797) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha25( X, Y, Z ) }.
% 14.03/14.47 (20798) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20799) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20800) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20801) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 14.03/14.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.03/14.47 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 14.03/14.47 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 14.03/14.47 (20802) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 14.03/14.47 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 14.03/14.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 14.03/14.47 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 14.03/14.47 ( X, trans( U ) ) ), T, Z ) }.
% 14.03/14.47 (20803) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 14.03/14.47 (20804) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20805) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20806) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha17( X, Y, Z ) }.
% 14.03/14.47 (20807) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20808) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20809) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20810) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 14.03/14.47 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 14.03/14.47 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 14.03/14.47 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 14.03/14.47 (20811) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 14.03/14.47 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 14.03/14.47 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 14.03/14.47 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 14.03/14.47 ( X, trans( W ) ) ), T, Z ) }.
% 14.03/14.47 (20812) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 14.03/14.47 (20813) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20814) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20815) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha18( X, Y, Z ) }.
% 14.03/14.47 (20816) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20817) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20818) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20819) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 14.03/14.47 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 14.03/14.47 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 14.03/14.47 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 14.03/14.47 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 14.03/14.47 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 14.03/14.47 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 14.03/14.47 ) ), trans( V0 ) ) ) ), W, U ) }.
% 14.03/14.47 (20820) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 14.03/14.47 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 14.03/14.47 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 14.03/14.47 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 14.03/14.47 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 14.03/14.47 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 14.03/14.47 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 14.03/14.47 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 14.03/14.47 ) ), W, U ) }.
% 14.03/14.47 (20821) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 14.03/14.47 (20822) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20823) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20824) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha29( X, Y, Z ) }.
% 14.03/14.47 (20825) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20826) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20827) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20828) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 14.03/14.47 ), skol25( X, Y ) ) }.
% 14.03/14.47 (20829) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 14.03/14.47 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 14.03/14.47 }.
% 14.03/14.47 (20830) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 14.03/14.47 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 14.03/14.47 (20831) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 14.03/14.47 (20832) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20833) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20834) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha30( X, Y, Z ) }.
% 14.03/14.47 (20835) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20836) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20837) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20838) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 14.03/14.47 skol26( X, Y ) ) }.
% 14.03/14.47 (20839) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 14.03/14.47 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 14.03/14.47 (20840) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 14.03/14.47 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 14.03/14.47 (20841) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 14.03/14.47 (20842) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 14.03/14.47 (20843) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 14.03/14.47 (20844) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.03/14.47 , X ), alpha28( X, Y, Z ) }.
% 14.03/14.47 (20845) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20846) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 14.03/14.47 (20847) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20848) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 14.03/14.47 (20849) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 14.03/14.47 }.
% 14.03/14.47 (20850) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 14.03/14.47 (20851) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 14.03/14.47 (20852) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 14.03/14.47 (20853) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 14.03/14.47 (20854) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 14.03/14.47 (20855) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 14.03/14.47 }.
% 14.03/14.47 (20856) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 14.03/14.47 }.
% 14.03/14.47 (20857) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 14.03/14.47 ) ) ) }.
% 14.03/14.47 (20858) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 14.03/14.47 ) ) ) }.
% 14.03/14.47 (20859) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 14.03/14.47 succ( X ) ) ) ) ) }.
% 14.03/14.47 (20860) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 14.03/14.47 succ( X ) ) ) ) ) }.
% 14.03/14.47 (20861) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 14.03/14.47 (20862) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 14.03/14.47 (20863) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 14.03/14.47 (20864) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 14.03/14.47 }.
% 14.03/14.47 (20865) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 14.03/14.47 }.
% 14.03/14.47 (20866) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 14.03/14.47 (20867) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 14.03/14.47 (20868) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 14.03/14.47 ) = T }.
% 14.03/14.47 (20869) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 14.03/14.47 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 14.03/14.47 (20870) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 14.03/14.47 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 14.03/14.47 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.03/14.47 (20871) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 14.03/14.47 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 14.03/14.47 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.03/14.47 (20872) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 14.03/14.47 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 14.03/14.47 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.03/14.47 (20873) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 14.03/14.47 (20874) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 14.03/14.47 (20875) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 14.03/14.47 , Y, Z ) }.
% 14.03/14.47 (20876) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 14.03/14.47 (20877) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 14.03/14.47 (20878) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 14.03/14.47 ) }.
% 14.03/14.47 (20879) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 14.03/14.47 }.
% 14.03/14.47 (20880) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 14.03/14.47 tptp_update2( Z, X, U ), Y ) = T }.
% 14.03/14.47 (20881) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 14.03/14.47 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 14.03/14.47 (20882) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 14.03/14.47 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 14.03/14.47 (20883) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 14.03/14.47 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 14.03/14.47 }.
% 14.03/14.47 (20884) {G0,W1,D1,L1,V0,M1} { true }.
% 14.03/14.47 (20885) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 14.03/14.47 (20886) {G0,W5,D3,L1,V0,M1} { a_select2( mu_init, pv40 ) = init }.
% 14.03/14.47 (20887) {G0,W3,D2,L1,V0,M1} { leq( n0, pv40 ) }.
% 14.03/14.47 (20888) {G0,W3,D2,L1,V0,M1} { leq( n0, pv46 ) }.
% 14.03/14.47 (20889) {G0,W3,D2,L1,V0,M1} { leq( pv40, n4 ) }.
% 14.03/14.47 (20890) {G0,W3,D2,L1,V0,M1} { leq( pv46, n135299 ) }.
% 14.03/14.47 (20891) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 14.03/14.47 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 14.03/14.47 (20892) {G0,W11,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 14.03/14.47 rho_init, X ) = init }.
% 14.03/14.47 (20893) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv40 ) ),
% 14.03/14.47 a_select2( mu_init, X ) = init }.
% 14.03/14.47 (20894) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv40 ) ),
% 14.03/14.47 a_select2( sigma_init, X ) = init }.
% 14.03/14.47 (20895) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 14.03/14.47 center_init, X, n0 ) = init }.
% 14.03/14.47 (20896) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 14.03/14.47 leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 14.03/14.47 (20897) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 14.03/14.47 leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 14.03/14.47 (20898) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n1 ), ! leq( n0, X ), !
% 14.03/14.47 leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 14.03/14.47 (20899) {G0,W6,D3,L1,V0,M1} { ! a_select3( q_init, pv46, pv40 ) = init }.
% 14.03/14.47 (20900) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 14.03/14.47 (20901) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 14.03/14.47 (20902) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 14.03/14.47 (20903) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 14.03/14.47 (20904) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 14.03/14.47 (20905) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 14.03/14.47 (20906) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 14.03/14.47 (20907) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 14.03/14.47 (20908) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 14.03/14.47 (20909) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 14.03/14.47 (20910) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 14.03/14.47 (20911) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 14.03/14.47 (20912) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 14.03/14.47 (20913) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 14.12/14.49 (20914) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 14.12/14.49 (20915) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 14.12/14.49 (20916) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 14.12/14.49 (20917) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 14.12/14.49 (20918) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 14.12/14.49 (20919) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 14.12/14.49 (20920) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 14.12/14.49 (20921) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 14.12/14.49 (20922) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 14.12/14.49 (20923) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 14.12/14.49 (20924) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 14.12/14.49 (20925) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 14.12/14.49 (20926) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 14.12/14.49 (20927) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 14.12/14.49 (20928) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 14.12/14.49 n1, X = n2, X = n3, X = n4 }.
% 14.12/14.49 (20929) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 14.12/14.49 n1, X = n2, X = n3, X = n4, X = n5 }.
% 14.12/14.49 (20930) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 14.12/14.49 (20931) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 14.12/14.49 n1 }.
% 14.12/14.49 (20932) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 14.12/14.49 n1, X = n2 }.
% 14.12/14.49 (20933) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 14.12/14.49 n1, X = n2, X = n3 }.
% 14.12/14.49 (20934) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 14.12/14.49 (20935) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 14.12/14.49 n5 }.
% 14.12/14.49 (20936) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 14.12/14.49 (20937) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 14.12/14.49 (20938) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 14.12/14.49
% 14.12/14.49
% 14.12/14.49 Total Proof:
% 14.12/14.49
% 14.12/14.49 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv40 ) }.
% 14.12/14.49 parent0: (20887) {G0,W3,D2,L1,V0,M1} { leq( n0, pv40 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 0 ==> 0
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 subsumption: (173) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv46 ) }.
% 14.12/14.49 parent0: (20888) {G0,W3,D2,L1,V0,M1} { leq( n0, pv46 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 0 ==> 0
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 subsumption: (174) {G0,W3,D2,L1,V0,M1} I { leq( pv40, n4 ) }.
% 14.12/14.49 parent0: (20889) {G0,W3,D2,L1,V0,M1} { leq( pv40, n4 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 0 ==> 0
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 subsumption: (175) {G0,W3,D2,L1,V0,M1} I { leq( pv46, n135299 ) }.
% 14.12/14.49 parent0: (20890) {G0,W3,D2,L1,V0,M1} { leq( pv46, n135299 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 0 ==> 0
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 subsumption: (176) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X,
% 14.12/14.49 n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==>
% 14.12/14.49 init }.
% 14.12/14.49 parent0: (20891) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299
% 14.12/14.49 ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 14.12/14.49 substitution0:
% 14.12/14.49 X := X
% 14.12/14.49 Y := Y
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 0 ==> 0
% 14.12/14.49 1 ==> 1
% 14.12/14.49 2 ==> 2
% 14.12/14.49 3 ==> 3
% 14.12/14.49 4 ==> 4
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 subsumption: (184) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, pv46, pv40
% 14.12/14.49 ) ==> init }.
% 14.12/14.49 parent0: (20899) {G0,W6,D3,L1,V0,M1} { ! a_select3( q_init, pv46, pv40 ) =
% 14.12/14.49 init }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 0 ==> 0
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 eqswap: (24129) {G0,W6,D3,L1,V0,M1} { ! init ==> a_select3( q_init, pv46,
% 14.12/14.49 pv40 ) }.
% 14.12/14.49 parent0[0]: (184) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, pv46, pv40 )
% 14.12/14.49 ==> init }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 eqswap: (24130) {G0,W18,D3,L5,V2,M5} { init ==> a_select3( q_init, X, Y )
% 14.12/14.49 , ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ) }.
% 14.12/14.49 parent0[4]: (176) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X,
% 14.12/14.49 n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==>
% 14.12/14.49 init }.
% 14.12/14.49 substitution0:
% 14.12/14.49 X := X
% 14.12/14.49 Y := Y
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 resolution: (24131) {G1,W12,D2,L4,V0,M4} { ! leq( n0, pv46 ), ! leq( pv46
% 14.12/14.49 , n135299 ), ! leq( n0, pv40 ), ! leq( pv40, n4 ) }.
% 14.12/14.49 parent0[0]: (24129) {G0,W6,D3,L1,V0,M1} { ! init ==> a_select3( q_init,
% 14.12/14.49 pv46, pv40 ) }.
% 14.12/14.49 parent1[0]: (24130) {G0,W18,D3,L5,V2,M5} { init ==> a_select3( q_init, X,
% 14.12/14.49 Y ), ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 )
% 14.12/14.49 }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 substitution1:
% 14.12/14.49 X := pv46
% 14.12/14.49 Y := pv40
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 resolution: (24132) {G1,W9,D2,L3,V0,M3} { ! leq( pv46, n135299 ), ! leq(
% 14.12/14.49 n0, pv40 ), ! leq( pv40, n4 ) }.
% 14.12/14.49 parent0[0]: (24131) {G1,W12,D2,L4,V0,M4} { ! leq( n0, pv46 ), ! leq( pv46
% 14.12/14.49 , n135299 ), ! leq( n0, pv40 ), ! leq( pv40, n4 ) }.
% 14.12/14.49 parent1[0]: (173) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv46 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 substitution1:
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 subsumption: (14635) {G1,W9,D2,L3,V0,M3} R(184,176);r(173) { ! leq( pv46,
% 14.12/14.49 n135299 ), ! leq( n0, pv40 ), ! leq( pv40, n4 ) }.
% 14.12/14.49 parent0: (24132) {G1,W9,D2,L3,V0,M3} { ! leq( pv46, n135299 ), ! leq( n0,
% 14.12/14.49 pv40 ), ! leq( pv40, n4 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 0 ==> 0
% 14.12/14.49 1 ==> 1
% 14.12/14.49 2 ==> 2
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 resolution: (24133) {G1,W6,D2,L2,V0,M2} { ! leq( n0, pv40 ), ! leq( pv40,
% 14.12/14.49 n4 ) }.
% 14.12/14.49 parent0[0]: (14635) {G1,W9,D2,L3,V0,M3} R(184,176);r(173) { ! leq( pv46,
% 14.12/14.49 n135299 ), ! leq( n0, pv40 ), ! leq( pv40, n4 ) }.
% 14.12/14.49 parent1[0]: (175) {G0,W3,D2,L1,V0,M1} I { leq( pv46, n135299 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 substitution1:
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 resolution: (24134) {G1,W3,D2,L1,V0,M1} { ! leq( pv40, n4 ) }.
% 14.12/14.49 parent0[0]: (24133) {G1,W6,D2,L2,V0,M2} { ! leq( n0, pv40 ), ! leq( pv40,
% 14.12/14.49 n4 ) }.
% 14.12/14.49 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv40 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 substitution1:
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 resolution: (24135) {G1,W0,D0,L0,V0,M0} { }.
% 14.12/14.49 parent0[0]: (24134) {G1,W3,D2,L1,V0,M1} { ! leq( pv40, n4 ) }.
% 14.12/14.49 parent1[0]: (174) {G0,W3,D2,L1,V0,M1} I { leq( pv40, n4 ) }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 substitution1:
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 subsumption: (20713) {G2,W0,D0,L0,V0,M0} S(14635);r(175);r(172);r(174) {
% 14.12/14.49 }.
% 14.12/14.49 parent0: (24135) {G1,W0,D0,L0,V0,M0} { }.
% 14.12/14.49 substitution0:
% 14.12/14.49 end
% 14.12/14.49 permutation0:
% 14.12/14.49 end
% 14.12/14.49
% 14.12/14.49 Proof check complete!
% 14.12/14.49
% 14.12/14.49 Memory use:
% 14.12/14.49
% 14.12/14.49 space for terms: 652031
% 14.12/14.49 space for clauses: 912016
% 14.12/14.49
% 14.12/14.49
% 14.12/14.49 clauses generated: 179632
% 14.12/14.49 clauses kept: 20714
% 14.12/14.49 clauses selected: 909
% 14.12/14.49 clauses deleted: 783
% 14.12/14.49 clauses inuse deleted: 12
% 14.12/14.49
% 14.12/14.49 subsentry: 459535
% 14.12/14.49 literals s-matched: 154930
% 14.12/14.49 literals matched: 134947
% 14.12/14.49 full subsumption: 105582
% 14.12/14.49
% 14.12/14.49 checksum: 1364557485
% 14.12/14.49
% 14.12/14.49
% 14.12/14.49 Bliksem ended
%------------------------------------------------------------------------------