TSTP Solution File: SWV139+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV139+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 16:22:41 EDT 2022
% Result : Theorem 1.63s 2.05s
% Output : Refutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV139+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 20:19:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12
% 0.71/1.12 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.71/1.12 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.71/1.12 { ! gt( X, X ) }.
% 0.71/1.12 { leq( X, X ) }.
% 0.71/1.12 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.71/1.12 { ! lt( X, Y ), gt( Y, X ) }.
% 0.71/1.12 { ! gt( Y, X ), lt( X, Y ) }.
% 0.71/1.12 { ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.12 { ! gt( Y, X ), leq( X, Y ) }.
% 0.71/1.12 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.71/1.12 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.71/1.12 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.71/1.12 { gt( succ( X ), X ) }.
% 0.71/1.12 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.71/1.12 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.71/1.12 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.71/1.12 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.71/1.12 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.71/1.12 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.71/1.12 T ), X ) = T }.
% 0.71/1.12 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.71/1.12 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.71/1.12 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.71/1.12 a_select3( trans( X ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.71/1.12 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.71/1.12 ) }.
% 0.71/1.12 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.71/1.12 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.71/1.12 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.71/1.12 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.71/1.12 a_select3( inv( X ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.71/1.12 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.71/1.12 .
% 0.71/1.12 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.71/1.12 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.71/1.12 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.71/1.12 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.71/1.12 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.71/1.12 X, U, U, W ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.71/1.12 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.71/1.12 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.71/1.12 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.71/1.12 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.71/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.71/1.12 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.12 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.71/1.12 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.71/1.12 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.12 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.71/1.12 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.71/1.12 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.12 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.71/1.12 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.71/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.71/1.12 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.12 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.71/1.12 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.71/1.12 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.71/1.12 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.71/1.12 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.71/1.12 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.71/1.12 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.71/1.12 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.71/1.12 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.71/1.13 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.71/1.13 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.71/1.13 U ) ) ), T, Z ) }.
% 0.71/1.13 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.71/1.13 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.13 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.71/1.13 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.71/1.13 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.71/1.13 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.71/1.13 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.71/1.13 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.71/1.13 W ) ) ), T, Z ) }.
% 0.71/1.13 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.71/1.13 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.71/1.13 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.71/1.13 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.71/1.13 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.71/1.13 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.71/1.13 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.71/1.13 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.71/1.13 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.71/1.13 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.71/1.13 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.71/1.13 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.71/1.13 ) }.
% 0.71/1.13 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.71/1.13 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.71/1.13 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.71/1.13 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.71/1.13 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.71/1.13 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.71/1.13 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.71/1.13 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.71/1.13 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.71/1.13 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.71/1.13 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.71/1.13 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.71/1.13 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.71/1.13 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.13 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.71/1.13 alpha19( X, Y ) }.
% 0.71/1.13 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.71/1.13 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.71/1.13 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.71/1.13 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.71/1.13 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.71/1.13 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.13 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.71/1.13 ), alpha8( X ) }.
% 0.71/1.13 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.71/1.13 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.13 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.13 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.71/1.13 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.71/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.71/1.13 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.71/1.13 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.71/1.13 { succ( tptp_minus_1 ) = n0 }.
% 0.71/1.13 { plus( X, n1 ) = succ( X ) }.
% 0.71/1.13 { plus( n1, X ) = succ( X ) }.
% 0.71/1.13 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.71/1.13 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.71/1.13 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.13 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.13 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.13 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.13 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.13 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.13 { minus( X, n1 ) = pred( X ) }.
% 0.71/1.13 { pred( succ( X ) ) = X }.
% 0.71/1.13 { succ( pred( X ) ) = X }.
% 0.71/1.13 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.71/1.13 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.71/1.13 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.71/1.13 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.71/1.13 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.71/1.13 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.71/1.13 , Y, V0 ), Z, T ) = W }.
% 0.71/1.13 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.71/1.13 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.71/1.13 }.
% 0.71/1.13 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.71/1.13 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.71/1.13 U, Z, T, W ), X, Y ) = W }.
% 0.71/1.13 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.71/1.13 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.71/1.13 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.71/1.13 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.71/1.13 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.71/1.13 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.71/1.13 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.71/1.13 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.71/1.13 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.71/1.13 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.71/1.13 T }.
% 0.71/1.13 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.13 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.13 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.71/1.13 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.13 { true }.
% 0.71/1.13 { ! def = use }.
% 0.71/1.13 { leq( tptp_float_0_001, pv1341 ) }.
% 0.71/1.13 { leq( n1, loopcounter ) }.
% 0.71/1.13 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_best7 ) }.
% 0.71/1.13 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_sworst7 ) }.
% 0.71/1.13 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_worst7 ) }.
% 0.71/1.13 { leq( tptp_float_0_001, pv1341 ), leq( s_best7, n3 ) }.
% 0.71/1.13 { leq( tptp_float_0_001, pv1341 ), leq( s_sworst7, n3 ) }.
% 0.71/1.13 { leq( tptp_float_0_001, pv1341 ), leq( s_worst7, n3 ) }.
% 0.71/1.13 { ! gt( loopcounter, n0 ), leq( n0, s_best7 ) }.
% 0.71/1.13 { ! gt( loopcounter, n0 ), leq( n0, s_sworst7 ) }.
% 0.71/1.13 { ! gt( loopcounter, n0 ), leq( n0, s_worst7 ) }.
% 0.71/1.13 { ! gt( loopcounter, n0 ), leq( s_best7, n3 ) }.
% 0.71/1.13 { ! gt( loopcounter, n0 ), leq( s_sworst7, n3 ) }.
% 0.71/1.13 { ! gt( loopcounter, n0 ), leq( s_worst7, n3 ) }.
% 0.71/1.13 { ! leq( n0, s_best7 ) }.
% 0.71/1.13 { gt( n5, n4 ) }.
% 0.71/1.13 { gt( n4, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n5, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n0, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n1, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n2, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n3, tptp_minus_1 ) }.
% 0.71/1.13 { gt( n4, n0 ) }.
% 0.71/1.13 { gt( n5, n0 ) }.
% 0.71/1.13 { gt( n1, n0 ) }.
% 0.71/1.13 { gt( n2, n0 ) }.
% 0.71/1.13 { gt( n3, n0 ) }.
% 0.71/1.13 { gt( n4, n1 ) }.
% 0.71/1.13 { gt( n5, n1 ) }.
% 0.71/1.13 { gt( n2, n1 ) }.
% 0.71/1.13 { gt( n3, n1 ) }.
% 0.71/1.13 { gt( n4, n2 ) }.
% 0.71/1.13 { gt( n5, n2 ) }.
% 0.71/1.13 { gt( n3, n2 ) }.
% 0.71/1.13 { gt( n4, n3 ) }.
% 0.71/1.13 { gt( n5, n3 ) }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.71/1.13 .
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.71/1.13 = n5 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.71/1.13 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.71/1.13 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.71/1.13 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.71/1.13 { succ( n0 ) = n1 }.
% 0.71/1.13 { succ( succ( n0 ) ) = n2 }.
% 0.71/1.13 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.71/1.13
% 0.71/1.13 percentage equality = 0.177778, percentage horn = 0.867925
% 0.71/1.13 This is a problem with some equality
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Options Used:
% 0.71/1.13
% 0.71/1.13 useres = 1
% 0.71/1.13 useparamod = 1
% 0.71/1.13 useeqrefl = 1
% 0.71/1.13 useeqfact = 1
% 0.71/1.13 usefactor = 1
% 0.71/1.13 usesimpsplitting = 0
% 0.71/1.13 usesimpdemod = 5
% 0.71/1.13 usesimpres = 3
% 0.71/1.13
% 0.71/1.13 resimpinuse = 1000
% 0.71/1.13 resimpclauses = 20000
% 0.71/1.13 substype = eqrewr
% 0.71/1.13 backwardsubs = 1
% 0.71/1.13 selectoldest = 5
% 0.71/1.13
% 0.71/1.13 litorderings [0] = split
% 0.71/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.13
% 0.71/1.13 termordering = kbo
% 0.71/1.13
% 0.71/1.13 litapriori = 0
% 0.71/1.13 termapriori = 1
% 0.71/1.13 litaposteriori = 0
% 0.71/1.13 termaposteriori = 0
% 0.71/1.13 demodaposteriori = 0
% 0.71/1.13 ordereqreflfact = 0
% 0.71/1.13
% 0.71/1.13 litselect = negord
% 0.71/1.13
% 0.71/1.13 maxweight = 15
% 0.71/1.13 maxdepth = 30000
% 0.71/1.13 maxlength = 115
% 0.71/1.13 maxnrvars = 195
% 0.71/1.13 excuselevel = 1
% 0.71/1.13 increasemaxweight = 1
% 0.71/1.13
% 0.71/1.13 maxselected = 10000000
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13
% 0.71/1.13 showgenerated = 0
% 0.71/1.13 showkept = 0
% 0.71/1.13 showselected = 0
% 0.71/1.13 showdeleted = 0
% 0.71/1.13 showresimp = 1
% 0.71/1.13 showstatus = 2000
% 0.71/1.13
% 0.71/1.13 prologoutput = 0
% 0.71/1.13 nrgoals = 5000000
% 0.71/1.13 totalproof = 1
% 0.71/1.13
% 0.71/1.13 Symbols occurring in the translation:
% 0.71/1.13
% 0.71/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.13 . [1, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.71/1.13 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.71/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 gt [37, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.71/1.13 leq [39, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.71/1.13 lt [40, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.71/1.13 geq [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.71/1.13 pred [42, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.13 succ [43, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.13 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.13 uniform_int_rnd [46, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.63/2.05 dim [51, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.63/2.05 tptp_const_array1 [52, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.63/2.05 a_select2 [53, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.63/2.05 tptp_const_array2 [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 1.63/2.05 a_select3 [60, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.63/2.05 trans [63, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.63/2.05 inv [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.63/2.05 tptp_update3 [67, 4] (w:1, o:158, a:1, s:1, b:0),
% 1.63/2.05 tptp_madd [69, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.63/2.05 tptp_msub [70, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.63/2.05 tptp_mmul [71, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.63/2.05 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.63/2.05 sum [78, 3] (w:1, o:138, a:1, s:1, b:0),
% 1.63/2.05 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.63/2.05 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.63/2.05 plus [81, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.63/2.05 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.63/2.05 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.63/2.05 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.63/2.05 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.63/2.05 minus [86, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.63/2.05 tptp_update2 [91, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.63/2.05 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.63/2.05 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.63/2.05 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.63/2.05 tptp_float_0_001 [95, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.63/2.05 pv1341 [96, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.63/2.05 loopcounter [97, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.63/2.05 s_best7 [98, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.63/2.05 s_sworst7 [99, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.63/2.05 s_worst7 [100, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.63/2.05 alpha1 [101, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.63/2.05 alpha2 [102, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.63/2.05 alpha3 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.63/2.05 alpha4 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.63/2.05 alpha5 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.63/2.05 alpha6 [106, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.63/2.05 alpha7 [107, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.63/2.05 alpha8 [108, 1] (w:1, o:60, a:1, s:1, b:1),
% 1.63/2.05 alpha9 [109, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.63/2.05 alpha10 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.63/2.05 alpha11 [111, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.63/2.05 alpha12 [112, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.63/2.05 alpha13 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.63/2.05 alpha14 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.63/2.05 alpha15 [115, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.63/2.05 alpha16 [116, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.63/2.05 alpha17 [117, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.63/2.05 alpha18 [118, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.63/2.05 alpha19 [119, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.63/2.05 alpha20 [120, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.63/2.05 alpha21 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.63/2.05 alpha22 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.63/2.05 alpha23 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.63/2.05 alpha24 [124, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.63/2.05 alpha25 [125, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.63/2.05 alpha26 [126, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.63/2.05 alpha27 [127, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.63/2.05 alpha28 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.63/2.05 alpha29 [129, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.63/2.05 alpha30 [130, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.63/2.05 skol1 [131, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.63/2.05 skol2 [132, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.63/2.05 skol3 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.63/2.05 skol4 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.63/2.05 skol5 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.63/2.05 skol6 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.63/2.05 skol7 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.63/2.05 skol8 [138, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.63/2.05 skol9 [139, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.63/2.05 skol10 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.63/2.05 skol11 [141, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.63/2.05 skol12 [142, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.63/2.05 skol13 [143, 4] (w:1, o:156, a:1, s:1, b:1),
% 1.63/2.05 skol14 [144, 3] (w:1, o:139, a:1, s:1, b:1),
% 1.63/2.05 skol15 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.63/2.05 skol16 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.63/2.05 skol17 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.63/2.05 skol18 [148, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.63/2.05 skol19 [149, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.63/2.05 skol20 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.63/2.05 skol21 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.63/2.05 skol22 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.63/2.05 skol23 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.63/2.05 skol24 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.63/2.05 skol25 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.63/2.05 skol26 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.63/2.05 skol27 [157, 4] (w:1, o:157, a:1, s:1, b:1),
% 1.63/2.05 skol28 [158, 1] (w:1, o:57, a:1, s:1, b:1).
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 Starting Search:
% 1.63/2.05
% 1.63/2.05 *** allocated 15000 integers for clauses
% 1.63/2.05 *** allocated 22500 integers for clauses
% 1.63/2.05 *** allocated 15000 integers for termspace/termends
% 1.63/2.05 *** allocated 33750 integers for clauses
% 1.63/2.05 *** allocated 22500 integers for termspace/termends
% 1.63/2.05 *** allocated 50625 integers for clauses
% 1.63/2.05 *** allocated 75937 integers for clauses
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 *** allocated 33750 integers for termspace/termends
% 1.63/2.05 *** allocated 113905 integers for clauses
% 1.63/2.05 *** allocated 50625 integers for termspace/termends
% 1.63/2.05
% 1.63/2.05 Intermediate Status:
% 1.63/2.05 Generated: 8009
% 1.63/2.05 Kept: 2046
% 1.63/2.05 Inuse: 186
% 1.63/2.05 Deleted: 0
% 1.63/2.05 Deletedinuse: 0
% 1.63/2.05
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 *** allocated 170857 integers for clauses
% 1.63/2.05 *** allocated 75937 integers for termspace/termends
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 *** allocated 113905 integers for termspace/termends
% 1.63/2.05 *** allocated 256285 integers for clauses
% 1.63/2.05
% 1.63/2.05 Intermediate Status:
% 1.63/2.05 Generated: 17142
% 1.63/2.05 Kept: 4046
% 1.63/2.05 Inuse: 349
% 1.63/2.05 Deleted: 0
% 1.63/2.05 Deletedinuse: 0
% 1.63/2.05
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 *** allocated 170857 integers for termspace/termends
% 1.63/2.05 *** allocated 384427 integers for clauses
% 1.63/2.05
% 1.63/2.05 Intermediate Status:
% 1.63/2.05 Generated: 23759
% 1.63/2.05 Kept: 6098
% 1.63/2.05 Inuse: 471
% 1.63/2.05 Deleted: 0
% 1.63/2.05 Deletedinuse: 0
% 1.63/2.05
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 *** allocated 256285 integers for termspace/termends
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 Intermediate Status:
% 1.63/2.05 Generated: 31664
% 1.63/2.05 Kept: 8192
% 1.63/2.05 Inuse: 581
% 1.63/2.05 Deleted: 0
% 1.63/2.05 Deletedinuse: 0
% 1.63/2.05
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 *** allocated 576640 integers for clauses
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 Intermediate Status:
% 1.63/2.05 Generated: 36704
% 1.63/2.05 Kept: 10323
% 1.63/2.05 Inuse: 741
% 1.63/2.05 Deleted: 0
% 1.63/2.05 Deletedinuse: 0
% 1.63/2.05
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05 *** allocated 384427 integers for termspace/termends
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 Intermediate Status:
% 1.63/2.05 Generated: 45115
% 1.63/2.05 Kept: 12487
% 1.63/2.05 Inuse: 819
% 1.63/2.05 Deleted: 16
% 1.63/2.05 Deletedinuse: 14
% 1.63/2.05
% 1.63/2.05 Resimplifying inuse:
% 1.63/2.05 Done
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 Bliksems!, er is een bewijs:
% 1.63/2.05 % SZS status Theorem
% 1.63/2.05 % SZS output start Refutation
% 1.63/2.05
% 1.63/2.05 (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.63/2.05 (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.63/2.05 (173) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( n0, s_best7 )
% 1.63/2.05 }.
% 1.63/2.05 (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, s_best7 ) }.
% 1.63/2.05 (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.63/2.05 (12870) {G1,W3,D2,L1,V0,M1} S(173);r(179) { ! gt( loopcounter, n0 ) }.
% 1.63/2.05 (12871) {G2,W0,D0,L0,V0,M0} R(12870,151);d(209);r(172) { }.
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 % SZS output end Refutation
% 1.63/2.05 found a proof!
% 1.63/2.05
% 1.63/2.05
% 1.63/2.05 Unprocessed initial clauses:
% 1.63/2.05
% 1.63/2.05 (12873) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.63/2.05 (12874) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.63/2.05 (12875) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.63/2.05 (12876) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.63/2.05 (12877) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.63/2.05 }.
% 1.63/2.05 (12878) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.63/2.05 (12879) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.63/2.05 (12880) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12881) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.63/2.05 (12882) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.63/2.05 (12883) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.63/2.05 (12884) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.63/2.05 (12885) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.63/2.05 (12886) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.63/2.05 (12887) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.63/2.05 (12888) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.63/2.05 (12889) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.63/2.05 (12890) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.63/2.05 , X ) }.
% 1.63/2.05 (12891) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.63/2.05 , X ) ) }.
% 1.63/2.05 (12892) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.63/2.05 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.63/2.05 (12893) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.63/2.05 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.63/2.05 V0 ), X, T ) = V0 }.
% 1.63/2.05 (12894) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.63/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.63/2.05 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.63/2.05 (12895) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.63/2.05 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.63/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.63/2.05 = a_select3( trans( X ), T, Z ) }.
% 1.63/2.05 (12896) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.63/2.05 (12897) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12898) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12899) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha10( X, Y, Z ) }.
% 1.63/2.05 (12900) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12901) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12902) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12903) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.63/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.63/2.05 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.63/2.05 (12904) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.63/2.05 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.63/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.63/2.05 a_select3( inv( X ), T, Z ) }.
% 1.63/2.05 (12905) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.63/2.05 (12906) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12907) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12908) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha11( X, Y, Z ) }.
% 1.63/2.05 (12909) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12910) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12911) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12912) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.63/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.63/2.05 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.63/2.05 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.63/2.05 (12913) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.63/2.05 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.63/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.63/2.05 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.63/2.05 ( X, U, U, W ), T, Z ) }.
% 1.63/2.05 (12914) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.63/2.05 (12915) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12916) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12917) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha12( X, Y, Z ) }.
% 1.63/2.05 (12918) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12919) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12920) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12921) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.63/2.05 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.63/2.05 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.63/2.05 ), U, T ) }.
% 1.63/2.05 (12922) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.63/2.05 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.63/2.05 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.63/2.05 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.63/2.05 (12923) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.63/2.05 (12924) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12925) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12926) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha22( X, Y, Z ) }.
% 1.63/2.05 (12927) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12928) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12929) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12930) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.63/2.05 , skol19( X, Y ) ) }.
% 1.63/2.05 (12931) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.63/2.05 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.63/2.05 }.
% 1.63/2.05 (12932) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.63/2.05 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.63/2.05 (12933) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.63/2.05 (12934) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12935) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12936) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha23( X, Y, Z ) }.
% 1.63/2.05 (12937) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12938) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12939) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12940) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.63/2.05 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.63/2.05 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.63/2.05 ), U, T ) }.
% 1.63/2.05 (12941) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.63/2.05 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.63/2.05 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.63/2.05 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.63/2.05 (12942) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.63/2.05 (12943) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12944) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12945) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha24( X, Y, Z ) }.
% 1.63/2.05 (12946) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12947) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12948) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12949) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.63/2.05 , skol21( X, Y ) ) }.
% 1.63/2.05 (12950) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.63/2.05 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.63/2.05 }.
% 1.63/2.05 (12951) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.63/2.05 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.63/2.05 (12952) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.63/2.05 (12953) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12954) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12955) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha25( X, Y, Z ) }.
% 1.63/2.05 (12956) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12957) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12958) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12959) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.63/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.63/2.05 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.63/2.05 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.63/2.05 (12960) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.63/2.05 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.63/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.63/2.05 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.63/2.05 ( X, trans( U ) ) ), T, Z ) }.
% 1.63/2.05 (12961) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.63/2.05 (12962) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12963) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12964) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha17( X, Y, Z ) }.
% 1.63/2.05 (12965) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12966) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12967) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12968) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.63/2.05 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.63/2.05 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.63/2.05 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.63/2.05 (12969) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.63/2.05 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.63/2.05 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.63/2.05 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.63/2.05 ( X, trans( W ) ) ), T, Z ) }.
% 1.63/2.05 (12970) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.63/2.05 (12971) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12972) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12973) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha18( X, Y, Z ) }.
% 1.63/2.05 (12974) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12975) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12976) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12977) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.63/2.05 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.63/2.05 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.63/2.05 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.63/2.05 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.63/2.05 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.63/2.05 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.63/2.05 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.63/2.05 (12978) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.63/2.05 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.63/2.05 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.63/2.05 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.63/2.05 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.63/2.05 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.63/2.05 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.63/2.05 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.63/2.05 ) ), W, U ) }.
% 1.63/2.05 (12979) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.63/2.05 (12980) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12981) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12982) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha29( X, Y, Z ) }.
% 1.63/2.05 (12983) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12984) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12985) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12986) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.63/2.05 ), skol25( X, Y ) ) }.
% 1.63/2.05 (12987) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.63/2.05 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.63/2.05 }.
% 1.63/2.05 (12988) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.63/2.05 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.63/2.05 (12989) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.63/2.05 (12990) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (12991) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (12992) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha30( X, Y, Z ) }.
% 1.63/2.05 (12993) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (12994) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (12995) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (12996) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.63/2.05 skol26( X, Y ) ) }.
% 1.63/2.05 (12997) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.63/2.05 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.63/2.05 (12998) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.63/2.05 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.63/2.05 (12999) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.63/2.05 (13000) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.63/2.05 (13001) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.63/2.05 (13002) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.63/2.05 , X ), alpha28( X, Y, Z ) }.
% 1.63/2.05 (13003) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (13004) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.63/2.05 (13005) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (13006) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.63/2.05 (13007) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.63/2.05 }.
% 1.63/2.05 (13008) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.63/2.05 (13009) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.63/2.05 (13010) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.63/2.05 (13011) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.63/2.05 (13012) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.63/2.05 (13013) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.63/2.05 }.
% 1.63/2.05 (13014) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.63/2.05 }.
% 1.63/2.05 (13015) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.63/2.05 ) ) ) }.
% 1.63/2.05 (13016) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.63/2.05 ) ) ) }.
% 1.63/2.05 (13017) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.63/2.05 succ( X ) ) ) ) ) }.
% 1.63/2.05 (13018) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.63/2.05 succ( X ) ) ) ) ) }.
% 1.63/2.05 (13019) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.63/2.05 (13020) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.63/2.05 (13021) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.63/2.05 (13022) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.63/2.05 }.
% 1.63/2.05 (13023) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.63/2.05 }.
% 1.63/2.05 (13024) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.63/2.05 (13025) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.63/2.05 (13026) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.63/2.05 ) = T }.
% 1.63/2.05 (13027) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.63/2.05 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.63/2.05 (13028) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.63/2.05 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.63/2.05 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.63/2.05 (13029) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.63/2.05 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.63/2.05 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.63/2.05 (13030) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.63/2.05 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.63/2.05 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.63/2.05 (13031) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.63/2.05 (13032) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.63/2.05 (13033) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.63/2.05 , Y, Z ) }.
% 1.63/2.05 (13034) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.63/2.05 (13035) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.63/2.05 (13036) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.63/2.05 ) }.
% 1.63/2.05 (13037) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.63/2.05 }.
% 1.63/2.05 (13038) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.63/2.05 tptp_update2( Z, X, U ), Y ) = T }.
% 1.63/2.05 (13039) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.63/2.06 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.63/2.06 (13040) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.63/2.06 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.63/2.06 (13041) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.63/2.06 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.63/2.06 }.
% 1.63/2.06 (13042) {G0,W1,D1,L1,V0,M1} { true }.
% 1.63/2.06 (13043) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.63/2.06 (13044) {G0,W3,D2,L1,V0,M1} { leq( tptp_float_0_001, pv1341 ) }.
% 1.63/2.06 (13045) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.63/2.06 (13046) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.63/2.06 s_best7 ) }.
% 1.63/2.06 (13047) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.63/2.06 s_sworst7 ) }.
% 1.63/2.06 (13048) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.63/2.06 s_worst7 ) }.
% 1.63/2.06 (13049) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.63/2.06 s_best7, n3 ) }.
% 1.63/2.06 (13050) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.63/2.06 s_sworst7, n3 ) }.
% 1.63/2.06 (13051) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.63/2.06 s_worst7, n3 ) }.
% 1.63/2.06 (13052) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_best7 )
% 1.63/2.06 }.
% 1.63/2.06 (13053) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_sworst7
% 1.63/2.06 ) }.
% 1.63/2.06 (13054) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_worst7 )
% 1.63/2.06 }.
% 1.63/2.06 (13055) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_best7, n3 )
% 1.63/2.06 }.
% 1.63/2.06 (13056) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_sworst7, n3
% 1.63/2.06 ) }.
% 1.63/2.06 (13057) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_worst7, n3 )
% 1.63/2.06 }.
% 1.63/2.06 (13058) {G0,W3,D2,L1,V0,M1} { ! leq( n0, s_best7 ) }.
% 1.63/2.06 (13059) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.63/2.06 (13060) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.63/2.06 (13061) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.63/2.06 (13062) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.63/2.06 (13063) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.63/2.06 (13064) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.63/2.06 (13065) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.63/2.06 (13066) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.63/2.06 (13067) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.63/2.06 (13068) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.63/2.06 (13069) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.63/2.06 (13070) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.63/2.06 (13071) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.63/2.06 (13072) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.63/2.06 (13073) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.63/2.06 (13074) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.63/2.06 (13075) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.63/2.06 (13076) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.63/2.06 (13077) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.63/2.06 (13078) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.63/2.06 (13079) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.63/2.06 (13080) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.63/2.06 n1, X = n2, X = n3, X = n4 }.
% 1.63/2.06 (13081) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.63/2.06 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.63/2.06 (13082) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.63/2.06 (13083) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.63/2.06 n1 }.
% 1.63/2.06 (13084) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.63/2.06 n1, X = n2 }.
% 1.63/2.06 (13085) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.63/2.06 n1, X = n2, X = n3 }.
% 1.63/2.06 (13086) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.63/2.06 (13087) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.63/2.06 n5 }.
% 1.63/2.06 (13088) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.63/2.06 (13089) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.63/2.06 (13090) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.63/2.06
% 1.63/2.06
% 1.63/2.06 Total Proof:
% 1.63/2.06
% 1.63/2.06 *** allocated 864960 integers for clauses
% 1.63/2.06 subsumption: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X
% 1.63/2.06 ) }.
% 1.63/2.06 parent0: (13024) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X )
% 1.63/2.06 }.
% 1.63/2.06 substitution0:
% 1.63/2.06 X := X
% 1.63/2.06 Y := Y
% 1.63/2.06 end
% 1.63/2.06 permutation0:
% 1.63/2.06 0 ==> 0
% 1.63/2.06 1 ==> 1
% 1.63/2.06 end
% 1.63/2.06
% 1.63/2.06 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.63/2.06 parent0: (13045) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.63/2.06 substitution0:
% 1.63/2.06 end
% 1.63/2.06 permutation0:
% 1.63/2.06 0 ==> 0
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 subsumption: (173) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( n0
% 1.72/2.07 , s_best7 ) }.
% 1.72/2.07 parent0: (13052) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0,
% 1.72/2.07 s_best7 ) }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 permutation0:
% 1.72/2.07 0 ==> 0
% 1.72/2.07 1 ==> 1
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 *** allocated 576640 integers for termspace/termends
% 1.72/2.07 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, s_best7 ) }.
% 1.72/2.07 parent0: (13058) {G0,W3,D2,L1,V0,M1} { ! leq( n0, s_best7 ) }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 permutation0:
% 1.72/2.07 0 ==> 0
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 subsumption: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.72/2.07 parent0: (13088) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 permutation0:
% 1.72/2.07 0 ==> 0
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 resolution: (15718) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.72/2.07 parent0[0]: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, s_best7 ) }.
% 1.72/2.07 parent1[1]: (173) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( n0
% 1.72/2.07 , s_best7 ) }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 substitution1:
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 subsumption: (12870) {G1,W3,D2,L1,V0,M1} S(173);r(179) { ! gt( loopcounter
% 1.72/2.07 , n0 ) }.
% 1.72/2.07 parent0: (15718) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 permutation0:
% 1.72/2.07 0 ==> 0
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 resolution: (15720) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), loopcounter )
% 1.72/2.07 }.
% 1.72/2.07 parent0[0]: (12870) {G1,W3,D2,L1,V0,M1} S(173);r(179) { ! gt( loopcounter,
% 1.72/2.07 n0 ) }.
% 1.72/2.07 parent1[1]: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X )
% 1.72/2.07 }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 substitution1:
% 1.72/2.07 X := n0
% 1.72/2.07 Y := loopcounter
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 paramod: (15721) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.72/2.07 parent0[0]: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.72/2.07 parent1[0; 2]: (15720) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ),
% 1.72/2.07 loopcounter ) }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 substitution1:
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 resolution: (15722) {G1,W0,D0,L0,V0,M0} { }.
% 1.72/2.07 parent0[0]: (15721) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.72/2.07 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 substitution1:
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 subsumption: (12871) {G2,W0,D0,L0,V0,M0} R(12870,151);d(209);r(172) { }.
% 1.72/2.07 parent0: (15722) {G1,W0,D0,L0,V0,M0} { }.
% 1.72/2.07 substitution0:
% 1.72/2.07 end
% 1.72/2.07 permutation0:
% 1.72/2.07 end
% 1.72/2.07
% 1.72/2.07 Proof check complete!
% 1.72/2.07
% 1.72/2.07 Memory use:
% 1.72/2.07
% 1.72/2.07 space for terms: 323388
% 1.72/2.07 space for clauses: 571721
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 clauses generated: 46104
% 1.72/2.07 clauses kept: 12872
% 1.72/2.07 clauses selected: 834
% 1.72/2.07 clauses deleted: 17
% 1.72/2.07 clauses inuse deleted: 14
% 1.72/2.07
% 1.72/2.07 subsentry: 198486
% 1.72/2.07 literals s-matched: 67561
% 1.72/2.07 literals matched: 55893
% 1.72/2.07 full subsumption: 38805
% 1.72/2.07
% 1.72/2.07 checksum: 2085858820
% 1.72/2.07
% 1.72/2.07
% 1.72/2.07 Bliksem ended
%------------------------------------------------------------------------------