TSTP Solution File: SWV182+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:50 EDT 2022
% Result : Theorem 19.85s 20.26s
% Output : Refutation 19.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % DateTime : Tue Jun 14 15:56:09 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.87/1.25 *** allocated 10000 integers for termspace/termends
% 0.87/1.25 *** allocated 10000 integers for clauses
% 0.87/1.25 *** allocated 10000 integers for justifications
% 0.87/1.25 Bliksem 1.12
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Automatic Strategy Selection
% 0.87/1.25
% 0.87/1.25 *** allocated 15000 integers for termspace/termends
% 0.87/1.25
% 0.87/1.25 Clauses:
% 0.87/1.25
% 0.87/1.25 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.87/1.25 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.87/1.25 { ! gt( X, X ) }.
% 0.87/1.25 { leq( X, X ) }.
% 0.87/1.25 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.87/1.25 { ! lt( X, Y ), gt( Y, X ) }.
% 0.87/1.25 { ! gt( Y, X ), lt( X, Y ) }.
% 0.87/1.25 { ! geq( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( Y, X ), geq( X, Y ) }.
% 0.87/1.25 { ! gt( Y, X ), leq( X, Y ) }.
% 0.87/1.25 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.87/1.25 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.87/1.25 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.87/1.25 { gt( succ( X ), X ) }.
% 0.87/1.25 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.87/1.25 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.87/1.25 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.87/1.25 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.87/1.25 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.87/1.25 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.87/1.25 T ), X ) = T }.
% 0.87/1.25 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.87/1.25 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.87/1.25 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.25 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.87/1.25 a_select3( trans( X ), T, Z ) }.
% 0.87/1.25 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.87/1.25 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.25 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.87/1.25 ) }.
% 0.87/1.25 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.87/1.25 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.87/1.25 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.87/1.25 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.25 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.87/1.25 a_select3( inv( X ), T, Z ) }.
% 0.87/1.25 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.87/1.25 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.25 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.87/1.25 .
% 0.87/1.25 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.87/1.25 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.87/1.25 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.87/1.25 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.25 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.87/1.25 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.87/1.25 X, U, U, W ), T, Z ) }.
% 0.87/1.25 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.87/1.25 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.25 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.87/1.25 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.87/1.25 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.87/1.25 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.87/1.25 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.87/1.25 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.87/1.25 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.87/1.25 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.87/1.25 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.87/1.25 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.87/1.25 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.87/1.25 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.87/1.25 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.87/1.25 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.87/1.25 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.87/1.25 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.87/1.25 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.87/1.25 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.87/1.25 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.87/1.25 ( X, Y ) }.
% 0.87/1.25 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.87/1.25 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.87/1.25 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.87/1.25 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.87/1.25 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.87/1.25 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.87/1.25 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.87/1.25 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.87/1.25 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.87/1.25 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.87/1.25 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.87/1.25 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.87/1.25 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.87/1.25 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.87/1.25 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.87/1.25 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.87/1.25 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.87/1.25 ( X, Y ) }.
% 0.87/1.25 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.87/1.25 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.87/1.25 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.87/1.25 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.25 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.87/1.25 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.87/1.25 U ) ) ), T, Z ) }.
% 0.87/1.25 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.87/1.25 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.25 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.87/1.25 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.87/1.25 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.87/1.25 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.87/1.25 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.87/1.25 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.87/1.25 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.87/1.25 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.87/1.25 W ) ) ), T, Z ) }.
% 0.87/1.25 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.87/1.25 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.87/1.25 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.87/1.25 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.87/1.25 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.87/1.25 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.87/1.25 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.87/1.25 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.87/1.25 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.87/1.25 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.87/1.25 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.87/1.25 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.87/1.25 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.87/1.25 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.87/1.25 ) }.
% 0.87/1.25 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.87/1.25 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.87/1.25 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.87/1.25 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.87/1.25 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.87/1.25 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.87/1.25 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.87/1.25 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.87/1.25 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.87/1.25 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.87/1.25 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.87/1.25 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.87/1.25 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.87/1.25 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.87/1.25 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.87/1.25 alpha19( X, Y ) }.
% 0.87/1.25 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.87/1.25 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.87/1.25 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.87/1.25 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.87/1.25 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.87/1.25 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.87/1.25 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.87/1.25 ), alpha8( X ) }.
% 0.87/1.25 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.87/1.25 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.25 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.25 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.87/1.25 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.87/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.87/1.25 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.87/1.25 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.87/1.25 { succ( tptp_minus_1 ) = n0 }.
% 0.87/1.25 { plus( X, n1 ) = succ( X ) }.
% 0.87/1.25 { plus( n1, X ) = succ( X ) }.
% 0.87/1.25 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.87/1.25 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.87/1.25 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.87/1.25 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.87/1.25 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.87/1.25 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.87/1.25 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.87/1.25 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.87/1.25 { minus( X, n1 ) = pred( X ) }.
% 0.87/1.25 { pred( succ( X ) ) = X }.
% 0.87/1.25 { succ( pred( X ) ) = X }.
% 0.87/1.25 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.87/1.25 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.87/1.25 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.87/1.25 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.87/1.25 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.87/1.25 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.87/1.25 , Y, V0 ), Z, T ) = W }.
% 0.87/1.25 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.87/1.25 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.87/1.25 }.
% 0.87/1.25 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.87/1.25 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.87/1.25 U, Z, T, W ), X, Y ) = W }.
% 0.87/1.25 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.87/1.25 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.87/1.25 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.87/1.25 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.87/1.25 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.87/1.25 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.87/1.25 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.87/1.25 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.87/1.25 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.87/1.25 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.87/1.25 T }.
% 0.87/1.25 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.87/1.25 tptp_update2( Z, Y, T ), X ) = T }.
% 0.87/1.25 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.87/1.25 tptp_update2( Z, Y, T ), X ) = T }.
% 0.87/1.25 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.87/1.25 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.87/1.25 { true }.
% 0.87/1.25 { ! def = use }.
% 0.87/1.25 { leq( tptp_float_0_001, pv76 ) }.
% 0.87/1.25 { leq( n1, loopcounter ) }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ),
% 0.87/1.25 a_select3( q_init, X, Y ) = init }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.87/1.25 .
% 0.87/1.25 { ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.87/1.25 mu_init, X ) = init }.
% 0.87/1.25 { ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.87/1.25 rho_init, X ) = init }.
% 0.87/1.25 { ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2(
% 0.87/1.25 sigma_init, X ) = init }.
% 0.87/1.25 { leq( n0, skol15 ) }.
% 0.87/1.25 { leq( skol15, n4 ) }.
% 0.87/1.25 { ! a_select2( rho_init, skol15 ) = init }.
% 0.87/1.25 { gt( n5, n4 ) }.
% 0.87/1.25 { gt( n135299, n4 ) }.
% 0.87/1.25 { gt( n135299, n5 ) }.
% 0.87/1.25 { gt( n4, tptp_minus_1 ) }.
% 0.87/1.25 { gt( n5, tptp_minus_1 ) }.
% 0.87/1.25 { gt( n135299, tptp_minus_1 ) }.
% 0.87/1.25 { gt( n0, tptp_minus_1 ) }.
% 0.87/1.25 { gt( n1, tptp_minus_1 ) }.
% 0.87/1.25 { gt( n2, tptp_minus_1 ) }.
% 0.87/1.25 { gt( n3, tptp_minus_1 ) }.
% 0.87/1.25 { gt( n4, n0 ) }.
% 0.87/1.25 { gt( n5, n0 ) }.
% 0.87/1.25 { gt( n135299, n0 ) }.
% 0.87/1.25 { gt( n1, n0 ) }.
% 0.87/1.25 { gt( n2, n0 ) }.
% 0.87/1.25 { gt( n3, n0 ) }.
% 0.87/1.25 { gt( n4, n1 ) }.
% 0.87/1.25 { gt( n5, n1 ) }.
% 0.87/1.25 { gt( n135299, n1 ) }.
% 0.87/1.25 { gt( n2, n1 ) }.
% 0.87/1.25 { gt( n3, n1 ) }.
% 0.87/1.25 { gt( n4, n2 ) }.
% 0.87/1.25 { gt( n5, n2 ) }.
% 0.87/1.25 { gt( n135299, n2 ) }.
% 0.87/1.25 { gt( n3, n2 ) }.
% 0.87/1.25 { gt( n4, n3 ) }.
% 0.87/1.25 { gt( n5, n3 ) }.
% 0.87/1.25 { gt( n135299, n3 ) }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.87/1.25 .
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.87/1.25 = n5 }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.87/1.25 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.87/1.25 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.87/1.25 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.87/1.25 { succ( n0 ) = n1 }.
% 0.87/1.25 { succ( succ( n0 ) ) = n2 }.
% 0.87/1.25 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.87/1.25
% 0.87/1.25 percentage equality = 0.183124, percentage horn = 0.872727
% 0.87/1.25 This is a problem with some equality
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Options Used:
% 0.87/1.25
% 0.87/1.25 useres = 1
% 0.87/1.25 useparamod = 1
% 0.87/1.25 useeqrefl = 1
% 0.87/1.25 useeqfact = 1
% 0.87/1.25 usefactor = 1
% 0.87/1.25 usesimpsplitting = 0
% 0.87/1.25 usesimpdemod = 5
% 0.87/1.25 usesimpres = 3
% 0.87/1.25
% 0.87/1.25 resimpinuse = 1000
% 0.87/1.25 resimpclauses = 20000
% 0.87/1.25 substype = eqrewr
% 0.87/1.25 backwardsubs = 1
% 0.87/1.25 selectoldest = 5
% 0.87/1.25
% 0.87/1.25 litorderings [0] = split
% 0.87/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.25
% 0.87/1.25 termordering = kbo
% 0.87/1.25
% 0.87/1.25 litapriori = 0
% 0.87/1.25 termapriori = 1
% 0.87/1.25 litaposteriori = 0
% 0.87/1.25 termaposteriori = 0
% 0.87/1.25 demodaposteriori = 0
% 0.87/1.25 ordereqreflfact = 0
% 0.87/1.25
% 0.87/1.25 litselect = negord
% 0.87/1.25
% 0.87/1.25 maxweight = 15
% 0.87/1.25 maxdepth = 30000
% 0.87/1.25 maxlength = 115
% 0.87/1.25 maxnrvars = 195
% 0.87/1.25 excuselevel = 1
% 0.87/1.25 increasemaxweight = 1
% 0.87/1.25
% 0.87/1.25 maxselected = 10000000
% 0.87/1.25 maxnrclauses = 10000000
% 0.87/1.25
% 0.87/1.25 showgenerated = 0
% 0.87/1.25 showkept = 0
% 0.87/1.25 showselected = 0
% 0.87/1.25 showdeleted = 0
% 0.87/1.25 showresimp = 1
% 0.87/1.25 showstatus = 2000
% 0.87/1.25
% 0.87/1.25 prologoutput = 0
% 0.87/1.25 nrgoals = 5000000
% 0.87/1.25 totalproof = 1
% 0.87/1.25
% 0.87/1.25 Symbols occurring in the translation:
% 0.87/1.25
% 0.87/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.25 . [1, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.87/1.25 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 0.87/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.25 gt [37, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.87/1.25 leq [39, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.87/1.25 lt [40, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.87/1.25 geq [41, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.87/1.25 pred [42, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.87/1.25 succ [43, 1] (w:1, o:62, a:1, s:1, b:0),
% 19.85/20.26 n0 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 19.85/20.26 uniform_int_rnd [46, 2] (w:1, o:123, a:1, s:1, b:0),
% 19.85/20.26 dim [51, 2] (w:1, o:124, a:1, s:1, b:0),
% 19.85/20.26 tptp_const_array1 [52, 2] (w:1, o:119, a:1, s:1, b:0),
% 19.85/20.26 a_select2 [53, 2] (w:1, o:125, a:1, s:1, b:0),
% 19.85/20.26 tptp_const_array2 [59, 3] (w:1, o:146, a:1, s:1, b:0),
% 19.85/20.26 a_select3 [60, 3] (w:1, o:147, a:1, s:1, b:0),
% 19.85/20.26 trans [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 19.85/20.26 inv [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 19.85/20.26 tptp_update3 [67, 4] (w:1, o:164, a:1, s:1, b:0),
% 19.85/20.26 tptp_madd [69, 2] (w:1, o:120, a:1, s:1, b:0),
% 19.85/20.26 tptp_msub [70, 2] (w:1, o:121, a:1, s:1, b:0),
% 19.85/20.26 tptp_mmul [71, 2] (w:1, o:122, a:1, s:1, b:0),
% 19.85/20.26 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 19.85/20.26 sum [78, 3] (w:1, o:144, a:1, s:1, b:0),
% 19.85/20.26 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 19.85/20.26 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 19.85/20.26 plus [81, 2] (w:1, o:126, a:1, s:1, b:0),
% 19.85/20.26 n2 [82, 0] (w:1, o:39, a:1, s:1, b:0),
% 19.85/20.26 n3 [83, 0] (w:1, o:40, a:1, s:1, b:0),
% 19.85/20.26 n4 [84, 0] (w:1, o:41, a:1, s:1, b:0),
% 19.85/20.26 n5 [85, 0] (w:1, o:42, a:1, s:1, b:0),
% 19.85/20.26 minus [86, 2] (w:1, o:127, a:1, s:1, b:0),
% 19.85/20.26 tptp_update2 [91, 3] (w:1, o:148, a:1, s:1, b:0),
% 19.85/20.26 true [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 19.85/20.26 def [93, 0] (w:1, o:47, a:1, s:1, b:0),
% 19.85/20.26 use [94, 0] (w:1, o:49, a:1, s:1, b:0),
% 19.85/20.26 tptp_float_0_001 [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 19.85/20.26 pv76 [96, 0] (w:1, o:50, a:1, s:1, b:0),
% 19.85/20.26 loopcounter [97, 0] (w:1, o:51, a:1, s:1, b:0),
% 19.85/20.26 n135299 [98, 0] (w:1, o:38, a:1, s:1, b:0),
% 19.85/20.26 q_init [99, 0] (w:1, o:52, a:1, s:1, b:0),
% 19.85/20.26 init [100, 0] (w:1, o:53, a:1, s:1, b:0),
% 19.85/20.26 center_init [101, 0] (w:1, o:46, a:1, s:1, b:0),
% 19.85/20.26 mu_init [102, 0] (w:1, o:12, a:1, s:1, b:0),
% 19.85/20.26 rho_init [103, 0] (w:1, o:54, a:1, s:1, b:0),
% 19.85/20.26 sigma_init [104, 0] (w:1, o:33, a:1, s:1, b:0),
% 19.85/20.26 alpha1 [106, 2] (w:1, o:128, a:1, s:1, b:1),
% 19.85/20.26 alpha2 [107, 2] (w:1, o:134, a:1, s:1, b:1),
% 19.85/20.26 alpha3 [108, 2] (w:1, o:138, a:1, s:1, b:1),
% 19.85/20.26 alpha4 [109, 2] (w:1, o:139, a:1, s:1, b:1),
% 19.85/20.26 alpha5 [110, 2] (w:1, o:140, a:1, s:1, b:1),
% 19.85/20.26 alpha6 [111, 2] (w:1, o:141, a:1, s:1, b:1),
% 19.85/20.26 alpha7 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 19.85/20.26 alpha8 [113, 1] (w:1, o:66, a:1, s:1, b:1),
% 19.85/20.26 alpha9 [114, 2] (w:1, o:143, a:1, s:1, b:1),
% 19.85/20.26 alpha10 [115, 3] (w:1, o:149, a:1, s:1, b:1),
% 19.85/20.26 alpha11 [116, 3] (w:1, o:150, a:1, s:1, b:1),
% 19.85/20.26 alpha12 [117, 3] (w:1, o:151, a:1, s:1, b:1),
% 19.85/20.26 alpha13 [118, 2] (w:1, o:129, a:1, s:1, b:1),
% 19.85/20.26 alpha14 [119, 2] (w:1, o:130, a:1, s:1, b:1),
% 19.85/20.26 alpha15 [120, 2] (w:1, o:131, a:1, s:1, b:1),
% 19.85/20.26 alpha16 [121, 2] (w:1, o:132, a:1, s:1, b:1),
% 19.85/20.26 alpha17 [122, 3] (w:1, o:152, a:1, s:1, b:1),
% 19.85/20.26 alpha18 [123, 3] (w:1, o:153, a:1, s:1, b:1),
% 19.85/20.26 alpha19 [124, 2] (w:1, o:133, a:1, s:1, b:1),
% 19.85/20.26 alpha20 [125, 2] (w:1, o:135, a:1, s:1, b:1),
% 19.85/20.26 alpha21 [126, 3] (w:1, o:154, a:1, s:1, b:1),
% 19.85/20.26 alpha22 [127, 3] (w:1, o:155, a:1, s:1, b:1),
% 19.85/20.26 alpha23 [128, 3] (w:1, o:156, a:1, s:1, b:1),
% 19.85/20.26 alpha24 [129, 3] (w:1, o:157, a:1, s:1, b:1),
% 19.85/20.26 alpha25 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 19.85/20.26 alpha26 [131, 2] (w:1, o:136, a:1, s:1, b:1),
% 19.85/20.26 alpha27 [132, 2] (w:1, o:137, a:1, s:1, b:1),
% 19.85/20.26 alpha28 [133, 3] (w:1, o:159, a:1, s:1, b:1),
% 19.85/20.26 alpha29 [134, 3] (w:1, o:160, a:1, s:1, b:1),
% 19.85/20.26 alpha30 [135, 3] (w:1, o:161, a:1, s:1, b:1),
% 19.85/20.26 skol1 [136, 2] (w:1, o:95, a:1, s:1, b:1),
% 19.85/20.26 skol2 [137, 2] (w:1, o:103, a:1, s:1, b:1),
% 19.85/20.26 skol3 [138, 2] (w:1, o:112, a:1, s:1, b:1),
% 19.85/20.26 skol4 [139, 2] (w:1, o:113, a:1, s:1, b:1),
% 19.85/20.26 skol5 [140, 2] (w:1, o:114, a:1, s:1, b:1),
% 19.85/20.26 skol6 [141, 2] (w:1, o:115, a:1, s:1, b:1),
% 19.85/20.26 skol7 [142, 2] (w:1, o:116, a:1, s:1, b:1),
% 19.85/20.26 skol8 [143, 2] (w:1, o:117, a:1, s:1, b:1),
% 19.85/20.26 skol9 [144, 2] (w:1, o:118, a:1, s:1, b:1),
% 19.85/20.26 skol10 [145, 2] (w:1, o:96, a:1, s:1, b:1),
% 19.85/20.26 skol11 [146, 2] (w:1, o:97, a:1, s:1, b:1),
% 19.85/20.26 skol12 [147, 2] (w:1, o:98, a:1, s:1, b:1),
% 19.85/20.26 skol13 [148, 4] (w:1, o:162, a:1, s:1, b:1),
% 19.85/20.26 skol14 [149, 3] (w:1, o:145, a:1, s:1, b:1),
% 19.85/20.26 skol15 [150, 0] (w:1, o:34, a:1, s:1, b:1),
% 19.85/20.26 skol16 [151, 2] (w:1, o:99, a:1, s:1, b:1),
% 19.85/20.26 skol17 [152, 2] (w:1, o:100, a:1, s:1, b:1),
% 19.85/20.26 skol18 [153, 2] (w:1, o:101, a:1, s:1, b:1),
% 19.85/20.26 skol19 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 19.85/20.26 skol20 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 19.85/20.26 skol21 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 19.85/20.26 skol22 [157, 2] (w:1, o:106, a:1, s:1, b:1),
% 19.85/20.26 skol23 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 19.85/20.26 skol24 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 19.85/20.26 skol25 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 19.85/20.26 skol26 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 19.85/20.26 skol27 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 19.85/20.26 skol28 [163, 4] (w:1, o:163, a:1, s:1, b:1),
% 19.85/20.26 skol29 [164, 1] (w:1, o:63, a:1, s:1, b:1).
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Starting Search:
% 19.85/20.26
% 19.85/20.26 *** allocated 15000 integers for clauses
% 19.85/20.26 *** allocated 22500 integers for clauses
% 19.85/20.26 *** allocated 33750 integers for clauses
% 19.85/20.26 *** allocated 22500 integers for termspace/termends
% 19.85/20.26 *** allocated 50625 integers for clauses
% 19.85/20.26 *** allocated 75937 integers for clauses
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 33750 integers for termspace/termends
% 19.85/20.26 *** allocated 113905 integers for clauses
% 19.85/20.26 *** allocated 50625 integers for termspace/termends
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 7961
% 19.85/20.26 Kept: 2041
% 19.85/20.26 Inuse: 171
% 19.85/20.26 Deleted: 0
% 19.85/20.26 Deletedinuse: 0
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 170857 integers for clauses
% 19.85/20.26 *** allocated 75937 integers for termspace/termends
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 113905 integers for termspace/termends
% 19.85/20.26 *** allocated 256285 integers for clauses
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 16554
% 19.85/20.26 Kept: 4088
% 19.85/20.26 Inuse: 331
% 19.85/20.26 Deleted: 0
% 19.85/20.26 Deletedinuse: 0
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 170857 integers for termspace/termends
% 19.85/20.26 *** allocated 384427 integers for clauses
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 23514
% 19.85/20.26 Kept: 6150
% 19.85/20.26 Inuse: 461
% 19.85/20.26 Deleted: 0
% 19.85/20.26 Deletedinuse: 0
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 256285 integers for termspace/termends
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 31678
% 19.85/20.26 Kept: 8299
% 19.85/20.26 Inuse: 556
% 19.85/20.26 Deleted: 0
% 19.85/20.26 Deletedinuse: 0
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 576640 integers for clauses
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 36908
% 19.85/20.26 Kept: 10369
% 19.85/20.26 Inuse: 736
% 19.85/20.26 Deleted: 0
% 19.85/20.26 Deletedinuse: 0
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 384427 integers for termspace/termends
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 44835
% 19.85/20.26 Kept: 12450
% 19.85/20.26 Inuse: 805
% 19.85/20.26 Deleted: 13
% 19.85/20.26 Deletedinuse: 12
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 864960 integers for clauses
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 576640 integers for termspace/termends
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 79894
% 19.85/20.26 Kept: 15344
% 19.85/20.26 Inuse: 864
% 19.85/20.26 Deleted: 14
% 19.85/20.26 Deletedinuse: 12
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 140331
% 19.85/20.26 Kept: 17506
% 19.85/20.26 Inuse: 879
% 19.85/20.26 Deleted: 17
% 19.85/20.26 Deletedinuse: 15
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 *** allocated 864960 integers for termspace/termends
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 176505
% 19.85/20.26 Kept: 19509
% 19.85/20.26 Inuse: 909
% 19.85/20.26 Deleted: 17
% 19.85/20.26 Deletedinuse: 15
% 19.85/20.26
% 19.85/20.26 *** allocated 1297440 integers for clauses
% 19.85/20.26 Resimplifying clauses:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Intermediate Status:
% 19.85/20.26 Generated: 217493
% 19.85/20.26 Kept: 21867
% 19.85/20.26 Inuse: 1329
% 19.85/20.26 Deleted: 2058
% 19.85/20.26 Deletedinuse: 46
% 19.85/20.26
% 19.85/20.26 Resimplifying inuse:
% 19.85/20.26 Done
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Bliksems!, er is een bewijs:
% 19.85/20.26 % SZS status Theorem
% 19.85/20.26 % SZS output start Refutation
% 19.85/20.26
% 19.85/20.26 (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 19.85/20.26 (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 19.85/20.26 (176) {G0,W14,D3,L4,V1,M4} I { ! gt( loopcounter, n0 ), ! leq( n0, X ), !
% 19.85/20.26 leq( X, n4 ), a_select2( rho_init, X ) ==> init }.
% 19.85/20.26 (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 19.85/20.26 (179) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 19.85/20.26 (180) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_init, skol15 ) ==> init }.
% 19.85/20.26 (217) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 19.85/20.26 (14108) {G1,W6,D2,L2,V0,M2} R(180,176);r(178) { ! gt( loopcounter, n0 ), !
% 19.85/20.26 leq( skol15, n4 ) }.
% 19.85/20.26 (20203) {G2,W3,D2,L1,V0,M1} S(14108);r(179) { ! gt( loopcounter, n0 ) }.
% 19.85/20.26 (22162) {G3,W0,D0,L0,V0,M0} R(20203,151);d(217);r(172) { }.
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 % SZS output end Refutation
% 19.85/20.26 found a proof!
% 19.85/20.26
% 19.85/20.26
% 19.85/20.26 Unprocessed initial clauses:
% 19.85/20.26
% 19.85/20.26 (22164) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 19.85/20.26 (22165) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 19.85/20.26 (22166) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 19.85/20.26 (22167) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 19.85/20.26 (22168) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 19.85/20.26 }.
% 19.85/20.26 (22169) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 19.85/20.26 (22170) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 19.85/20.26 (22171) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22172) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 19.85/20.26 (22173) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 19.85/20.26 (22174) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 19.85/20.26 (22175) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 19.85/20.26 (22176) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 19.85/20.26 (22177) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 19.85/20.26 (22178) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 19.85/20.26 (22179) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 19.85/20.26 (22180) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 19.85/20.26 (22181) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 19.85/20.26 , X ) }.
% 19.85/20.26 (22182) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 19.85/20.26 , X ) ) }.
% 19.85/20.26 (22183) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 19.85/20.26 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 19.85/20.26 (22184) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 19.85/20.26 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 19.85/20.26 V0 ), X, T ) = V0 }.
% 19.85/20.26 (22185) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 19.85/20.26 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 19.85/20.26 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 19.85/20.26 (22186) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 19.85/20.26 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 19.85/20.26 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 19.85/20.26 = a_select3( trans( X ), T, Z ) }.
% 19.85/20.26 (22187) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 19.85/20.26 (22188) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22189) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22190) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha10( X, Y, Z ) }.
% 19.85/20.26 (22191) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22192) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22193) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22194) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 19.85/20.26 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 19.85/20.26 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 19.85/20.26 (22195) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 19.85/20.26 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 19.85/20.26 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 19.85/20.26 a_select3( inv( X ), T, Z ) }.
% 19.85/20.26 (22196) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 19.85/20.26 (22197) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22198) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22199) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha11( X, Y, Z ) }.
% 19.85/20.26 (22200) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22201) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22202) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22203) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 19.85/20.26 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 19.85/20.26 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 19.85/20.26 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 19.85/20.26 (22204) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 19.85/20.26 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 19.85/20.26 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 19.85/20.26 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 19.85/20.26 ( X, U, U, W ), T, Z ) }.
% 19.85/20.26 (22205) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 19.85/20.26 (22206) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22207) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22208) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha12( X, Y, Z ) }.
% 19.85/20.26 (22209) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22210) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22211) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22212) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 19.85/20.26 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 19.85/20.26 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 19.85/20.26 ), U, T ) }.
% 19.85/20.26 (22213) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 19.85/20.26 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 19.85/20.26 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 19.85/20.26 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 19.85/20.26 (22214) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 19.85/20.26 (22215) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22216) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22217) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha22( X, Y, Z ) }.
% 19.85/20.26 (22218) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22219) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22220) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22221) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 19.85/20.26 , skol20( X, Y ) ) }.
% 19.85/20.26 (22222) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 19.85/20.26 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 19.85/20.26 }.
% 19.85/20.26 (22223) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 19.85/20.26 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 19.85/20.26 (22224) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 19.85/20.26 (22225) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22226) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22227) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha23( X, Y, Z ) }.
% 19.85/20.26 (22228) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22229) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22230) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22231) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 19.85/20.26 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 19.85/20.26 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 19.85/20.26 ), U, T ) }.
% 19.85/20.26 (22232) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 19.85/20.26 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 19.85/20.26 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 19.85/20.26 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 19.85/20.26 (22233) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 19.85/20.26 (22234) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22235) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22236) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha24( X, Y, Z ) }.
% 19.85/20.26 (22237) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22238) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22239) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22240) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 19.85/20.26 , skol22( X, Y ) ) }.
% 19.85/20.26 (22241) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 19.85/20.26 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 19.85/20.26 }.
% 19.85/20.26 (22242) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 19.85/20.26 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 19.85/20.26 (22243) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 19.85/20.26 (22244) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22245) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22246) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha25( X, Y, Z ) }.
% 19.85/20.26 (22247) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22248) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22249) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22250) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 19.85/20.26 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 19.85/20.26 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 19.85/20.26 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 19.85/20.26 (22251) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 19.85/20.26 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 19.85/20.26 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 19.85/20.26 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 19.85/20.26 ( X, trans( U ) ) ), T, Z ) }.
% 19.85/20.26 (22252) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 19.85/20.26 (22253) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22254) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22255) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha17( X, Y, Z ) }.
% 19.85/20.26 (22256) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22257) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22258) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22259) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 19.85/20.26 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 19.85/20.26 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 19.85/20.26 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 19.85/20.26 (22260) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 19.85/20.26 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 19.85/20.26 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 19.85/20.26 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 19.85/20.26 ( X, trans( W ) ) ), T, Z ) }.
% 19.85/20.26 (22261) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 19.85/20.26 (22262) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22263) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22264) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha18( X, Y, Z ) }.
% 19.85/20.26 (22265) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22266) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22267) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22268) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 19.85/20.26 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 19.85/20.26 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 19.85/20.26 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 19.85/20.26 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 19.85/20.26 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 19.85/20.26 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 19.85/20.26 ) ), trans( V0 ) ) ) ), W, U ) }.
% 19.85/20.26 (22269) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 19.85/20.26 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 19.85/20.26 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 19.85/20.26 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 19.85/20.26 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 19.85/20.26 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 19.85/20.26 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 19.85/20.26 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 19.85/20.26 ) ), W, U ) }.
% 19.85/20.26 (22270) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 19.85/20.26 (22271) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22272) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22273) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha29( X, Y, Z ) }.
% 19.85/20.26 (22274) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22275) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22276) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22277) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 19.85/20.26 ), skol26( X, Y ) ) }.
% 19.85/20.26 (22278) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 19.85/20.26 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 19.85/20.26 }.
% 19.85/20.26 (22279) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 19.85/20.26 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 19.85/20.26 (22280) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 19.85/20.26 (22281) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22282) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22283) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha30( X, Y, Z ) }.
% 19.85/20.26 (22284) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22285) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22286) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22287) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 19.85/20.26 skol27( X, Y ) ) }.
% 19.85/20.26 (22288) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 19.85/20.26 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 19.85/20.26 (22289) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 19.85/20.26 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 19.85/20.26 (22290) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 19.85/20.26 (22291) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 19.85/20.26 (22292) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 19.85/20.26 (22293) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 19.85/20.26 , X ), alpha28( X, Y, Z ) }.
% 19.85/20.26 (22294) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22295) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 19.85/20.26 (22296) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22297) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 19.85/20.26 (22298) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 19.85/20.26 }.
% 19.85/20.26 (22299) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 19.85/20.26 (22300) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 19.85/20.26 (22301) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 19.85/20.26 (22302) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 19.85/20.26 (22303) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 19.85/20.26 (22304) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 19.85/20.26 }.
% 19.85/20.26 (22305) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 19.85/20.26 }.
% 19.85/20.26 (22306) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 19.85/20.26 ) ) ) }.
% 19.85/20.26 (22307) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 19.85/20.26 ) ) ) }.
% 19.85/20.26 (22308) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 19.85/20.26 succ( X ) ) ) ) ) }.
% 19.85/20.26 (22309) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 19.85/20.26 succ( X ) ) ) ) ) }.
% 19.85/20.26 (22310) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 19.85/20.26 (22311) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 19.85/20.26 (22312) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 19.85/20.26 (22313) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 19.85/20.26 }.
% 19.85/20.26 (22314) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 19.85/20.26 }.
% 19.85/20.26 (22315) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 19.85/20.26 (22316) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 19.85/20.26 (22317) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 19.85/20.26 ) = T }.
% 19.85/20.26 (22318) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 19.85/20.26 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 19.85/20.26 (22319) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 19.85/20.26 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 19.85/20.26 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 19.85/20.26 (22320) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 19.85/20.26 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 19.85/20.26 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 19.85/20.26 (22321) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 19.85/20.26 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 19.85/20.26 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 19.85/20.26 (22322) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 19.85/20.26 (22323) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 19.85/20.26 (22324) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 19.85/20.26 , Y, Z ) }.
% 19.85/20.26 (22325) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 19.85/20.26 (22326) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 19.85/20.26 (22327) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 19.85/20.26 ) }.
% 19.85/20.26 (22328) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 19.85/20.26 }.
% 19.85/20.26 (22329) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 19.85/20.26 tptp_update2( Z, X, U ), Y ) = T }.
% 19.85/20.26 (22330) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 19.85/20.26 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 19.85/20.26 (22331) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 19.85/20.26 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 19.85/20.26 (22332) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 19.85/20.26 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 19.85/20.26 }.
% 19.85/20.26 (22333) {G0,W1,D1,L1,V0,M1} { true }.
% 19.85/20.26 (22334) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 19.85/20.26 (22335) {G0,W3,D2,L1,V0,M1} { leq( tptp_float_0_001, pv76 ) }.
% 19.85/20.26 (22336) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 19.85/20.26 (22337) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 19.85/20.26 ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 19.85/20.26 (22338) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 19.85/20.26 center_init, X, n0 ) = init }.
% 19.85/20.26 (22339) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n0 ), ! leq( n0, X ), !
% 19.85/20.26 leq( X, n4 ), a_select2( mu_init, X ) = init }.
% 19.85/20.26 (22340) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n0 ), ! leq( n0, X ), !
% 19.85/20.26 leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 19.85/20.26 (22341) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n0 ), ! leq( n0, X ), !
% 19.85/20.26 leq( X, n4 ), a_select2( sigma_init, X ) = init }.
% 19.85/20.26 (22342) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 19.85/20.26 (22343) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 19.85/20.26 (22344) {G0,W5,D3,L1,V0,M1} { ! a_select2( rho_init, skol15 ) = init }.
% 19.85/20.26 (22345) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 19.85/20.26 (22346) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 19.85/20.26 (22347) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 19.85/20.26 (22348) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 19.85/20.26 (22349) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 19.85/20.26 (22350) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 19.85/20.26 (22351) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 19.85/20.26 (22352) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 19.85/20.26 (22353) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 19.85/20.26 (22354) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 19.85/20.26 (22355) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 19.85/20.26 (22356) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 19.85/20.26 (22357) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 19.85/20.26 (22358) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 19.85/20.26 (22359) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 19.85/20.26 (22360) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 19.85/20.26 (22361) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 19.85/20.26 (22362) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 19.85/20.26 (22363) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 19.85/20.26 (22364) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 19.85/20.26 (22365) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 19.85/20.26 (22366) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 19.85/20.26 (22367) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 19.85/20.26 (22368) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 19.85/20.26 (22369) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 19.85/20.29 (22370) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 19.85/20.29 (22371) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 19.85/20.29 (22372) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 19.85/20.29 (22373) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 19.85/20.29 n1, X = n2, X = n3, X = n4 }.
% 19.85/20.29 (22374) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 19.85/20.29 n1, X = n2, X = n3, X = n4, X = n5 }.
% 19.85/20.29 (22375) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 19.85/20.29 (22376) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 19.85/20.29 n1 }.
% 19.85/20.29 (22377) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 19.85/20.29 n1, X = n2 }.
% 19.85/20.29 (22378) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 19.85/20.29 n1, X = n2, X = n3 }.
% 19.85/20.29 (22379) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 19.85/20.29 (22380) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 19.85/20.29 n5 }.
% 19.85/20.29 (22381) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 19.85/20.29 (22382) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 19.85/20.29 (22383) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 19.85/20.29
% 19.85/20.29
% 19.85/20.29 Total Proof:
% 19.85/20.29
% 19.85/20.29 subsumption: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X
% 19.85/20.29 ) }.
% 19.85/20.29 parent0: (22315) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X )
% 19.85/20.29 }.
% 19.85/20.29 substitution0:
% 19.85/20.29 X := X
% 19.85/20.29 Y := Y
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 1 ==> 1
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 19.85/20.29 parent0: (22336) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (176) {G0,W14,D3,L4,V1,M4} I { ! gt( loopcounter, n0 ), ! leq
% 19.85/20.29 ( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) ==> init }.
% 19.85/20.29 parent0: (22340) {G0,W14,D3,L4,V1,M4} { ! gt( loopcounter, n0 ), ! leq( n0
% 19.85/20.29 , X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 19.85/20.29 substitution0:
% 19.85/20.29 X := X
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 1 ==> 1
% 19.85/20.29 2 ==> 2
% 19.85/20.29 3 ==> 3
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 19.85/20.29 parent0: (22342) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 19.85/20.29 parent0: (22343) {G0,W3,D2,L1,V0,M1} { leq( skol15, n4 ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (180) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_init, skol15 )
% 19.85/20.29 ==> init }.
% 19.85/20.29 parent0: (22344) {G0,W5,D3,L1,V0,M1} { ! a_select2( rho_init, skol15 ) =
% 19.85/20.29 init }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (217) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 19.85/20.29 parent0: (22381) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 eqswap: (26121) {G0,W5,D3,L1,V0,M1} { ! init ==> a_select2( rho_init,
% 19.85/20.29 skol15 ) }.
% 19.85/20.29 parent0[0]: (180) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_init, skol15 )
% 19.85/20.29 ==> init }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 eqswap: (26122) {G0,W14,D3,L4,V1,M4} { init ==> a_select2( rho_init, X ),
% 19.85/20.29 ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 19.85/20.29 parent0[3]: (176) {G0,W14,D3,L4,V1,M4} I { ! gt( loopcounter, n0 ), ! leq(
% 19.85/20.29 n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) ==> init }.
% 19.85/20.29 substitution0:
% 19.85/20.29 X := X
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 resolution: (26123) {G1,W9,D2,L3,V0,M3} { ! gt( loopcounter, n0 ), ! leq(
% 19.85/20.29 n0, skol15 ), ! leq( skol15, n4 ) }.
% 19.85/20.29 parent0[0]: (26121) {G0,W5,D3,L1,V0,M1} { ! init ==> a_select2( rho_init,
% 19.85/20.29 skol15 ) }.
% 19.85/20.29 parent1[0]: (26122) {G0,W14,D3,L4,V1,M4} { init ==> a_select2( rho_init, X
% 19.85/20.29 ), ! gt( loopcounter, n0 ), ! leq( n0, X ), ! leq( X, n4 ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 substitution1:
% 19.85/20.29 X := skol15
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 resolution: (26124) {G1,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), ! leq(
% 19.85/20.29 skol15, n4 ) }.
% 19.85/20.29 parent0[1]: (26123) {G1,W9,D2,L3,V0,M3} { ! gt( loopcounter, n0 ), ! leq(
% 19.85/20.29 n0, skol15 ), ! leq( skol15, n4 ) }.
% 19.85/20.29 parent1[0]: (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 substitution1:
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (14108) {G1,W6,D2,L2,V0,M2} R(180,176);r(178) { ! gt(
% 19.85/20.29 loopcounter, n0 ), ! leq( skol15, n4 ) }.
% 19.85/20.29 parent0: (26124) {G1,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), ! leq(
% 19.85/20.29 skol15, n4 ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 1 ==> 1
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 resolution: (26125) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 19.85/20.29 parent0[1]: (14108) {G1,W6,D2,L2,V0,M2} R(180,176);r(178) { ! gt(
% 19.85/20.29 loopcounter, n0 ), ! leq( skol15, n4 ) }.
% 19.85/20.29 parent1[0]: (179) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n4 ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 substitution1:
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (20203) {G2,W3,D2,L1,V0,M1} S(14108);r(179) { ! gt(
% 19.85/20.29 loopcounter, n0 ) }.
% 19.85/20.29 parent0: (26125) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 0 ==> 0
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 resolution: (26127) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), loopcounter )
% 19.85/20.29 }.
% 19.85/20.29 parent0[0]: (20203) {G2,W3,D2,L1,V0,M1} S(14108);r(179) { ! gt( loopcounter
% 19.85/20.29 , n0 ) }.
% 19.85/20.29 parent1[1]: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X )
% 19.85/20.29 }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 substitution1:
% 19.85/20.29 X := n0
% 19.85/20.29 Y := loopcounter
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 paramod: (26128) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 19.85/20.29 parent0[0]: (217) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 19.85/20.29 parent1[0; 2]: (26127) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ),
% 19.85/20.29 loopcounter ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 substitution1:
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 resolution: (26129) {G1,W0,D0,L0,V0,M0} { }.
% 19.85/20.29 parent0[0]: (26128) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 19.85/20.29 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 substitution1:
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 subsumption: (22162) {G3,W0,D0,L0,V0,M0} R(20203,151);d(217);r(172) { }.
% 19.85/20.29 parent0: (26129) {G1,W0,D0,L0,V0,M0} { }.
% 19.85/20.29 substitution0:
% 19.85/20.29 end
% 19.85/20.29 permutation0:
% 19.85/20.29 end
% 19.85/20.29
% 19.85/20.29 Proof check complete!
% 19.85/20.29
% 19.85/20.29 Memory use:
% 19.85/20.29
% 19.85/20.29 space for terms: 657740
% 19.85/20.29 space for clauses: 985973
% 19.85/20.29
% 19.85/20.29
% 19.85/20.29 clauses generated: 290768
% 19.85/20.29 clauses kept: 22163
% 19.85/20.29 clauses selected: 1395
% 19.85/20.29 clauses deleted: 2058
% 19.85/20.29 clauses inuse deleted: 46
% 19.85/20.29
% 19.85/20.29 subsentry: 567652
% 19.85/20.29 literals s-matched: 218071
% 19.85/20.29 literals matched: 186315
% 19.85/20.29 full subsumption: 138645
% 19.85/20.29
% 19.85/20.29 checksum: 114880224
% 19.85/20.29
% 19.85/20.29
% 19.85/20.29 Bliksem ended
%------------------------------------------------------------------------------