TSTP Solution File: SWV142+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV142+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 16:22:41 EDT 2022
% Result : Theorem 1.79s 2.20s
% Output : Refutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV142+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Tue Jun 14 14:25:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.82/1.19 *** allocated 10000 integers for termspace/termends
% 0.82/1.19 *** allocated 10000 integers for clauses
% 0.82/1.19 *** allocated 10000 integers for justifications
% 0.82/1.19 Bliksem 1.12
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Automatic Strategy Selection
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Clauses:
% 0.82/1.19
% 0.82/1.19 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.82/1.19 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.82/1.19 { ! gt( X, X ) }.
% 0.82/1.19 { leq( X, X ) }.
% 0.82/1.19 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.82/1.19 { ! lt( X, Y ), gt( Y, X ) }.
% 0.82/1.19 { ! gt( Y, X ), lt( X, Y ) }.
% 0.82/1.19 { ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( Y, X ), geq( X, Y ) }.
% 0.82/1.19 { ! gt( Y, X ), leq( X, Y ) }.
% 0.82/1.19 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.82/1.19 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.82/1.19 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.82/1.19 { gt( succ( X ), X ) }.
% 0.82/1.19 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.82/1.19 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.82/1.19 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.82/1.19 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.82/1.19 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.82/1.19 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.82/1.19 T ), X ) = T }.
% 0.82/1.19 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.82/1.19 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.82/1.19 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.82/1.19 a_select3( trans( X ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.82/1.19 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.82/1.19 ) }.
% 0.82/1.19 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.82/1.19 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.82/1.19 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.82/1.19 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.82/1.19 a_select3( inv( X ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.82/1.19 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.82/1.19 .
% 0.82/1.19 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.82/1.19 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.82/1.19 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.82/1.19 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.82/1.19 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.82/1.19 X, U, U, W ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.82/1.19 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.82/1.19 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.82/1.19 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.82/1.19 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.82/1.19 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.82/1.19 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.82/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.82/1.19 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.82/1.19 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.82/1.19 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.82/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.82/1.19 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.82/1.19 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.82/1.19 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.82/1.19 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.82/1.19 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.82/1.19 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.82/1.19 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.82/1.19 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.82/1.19 ( X, Y ) }.
% 0.82/1.19 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.82/1.19 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.82/1.19 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.82/1.19 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.82/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.82/1.19 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.82/1.19 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.82/1.19 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.82/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.82/1.19 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.82/1.19 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.82/1.19 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.82/1.19 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.82/1.19 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.82/1.19 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.82/1.19 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.82/1.19 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.82/1.19 ( X, Y ) }.
% 0.82/1.19 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.82/1.19 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.82/1.19 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.82/1.19 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.82/1.19 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.82/1.19 U ) ) ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.82/1.19 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.82/1.19 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.82/1.19 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.82/1.19 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.82/1.19 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.82/1.19 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.82/1.19 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.82/1.19 W ) ) ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.82/1.19 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.82/1.19 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.82/1.19 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.82/1.19 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.82/1.19 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.82/1.19 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.82/1.19 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.82/1.19 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.82/1.19 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.82/1.19 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.82/1.19 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.82/1.19 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.82/1.19 ) }.
% 0.82/1.19 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.82/1.19 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.82/1.19 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.82/1.19 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.82/1.19 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.82/1.19 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.82/1.19 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.82/1.19 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.82/1.19 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.82/1.19 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.82/1.19 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.82/1.19 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.82/1.19 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.82/1.19 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.82/1.19 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.82/1.19 alpha19( X, Y ) }.
% 0.82/1.19 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.82/1.19 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.82/1.19 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.82/1.19 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.82/1.19 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.82/1.19 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.82/1.19 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.82/1.19 ), alpha8( X ) }.
% 0.82/1.19 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.82/1.19 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.82/1.19 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.82/1.19 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.82/1.19 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.82/1.19 { succ( tptp_minus_1 ) = n0 }.
% 0.82/1.19 { plus( X, n1 ) = succ( X ) }.
% 0.82/1.19 { plus( n1, X ) = succ( X ) }.
% 0.82/1.19 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.82/1.19 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.82/1.19 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.19 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.19 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.82/1.19 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.82/1.19 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.82/1.19 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.82/1.19 { minus( X, n1 ) = pred( X ) }.
% 0.82/1.19 { pred( succ( X ) ) = X }.
% 0.82/1.19 { succ( pred( X ) ) = X }.
% 0.82/1.19 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.82/1.19 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.82/1.19 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.82/1.19 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.82/1.19 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.82/1.19 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.82/1.19 , Y, V0 ), Z, T ) = W }.
% 0.82/1.19 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.82/1.19 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.82/1.19 }.
% 0.82/1.19 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.82/1.19 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.82/1.19 U, Z, T, W ), X, Y ) = W }.
% 0.82/1.19 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.82/1.19 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.82/1.19 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.19 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.82/1.19 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.82/1.19 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.82/1.19 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.82/1.19 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.82/1.19 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.82/1.19 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.82/1.19 T }.
% 0.82/1.19 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.82/1.19 tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.19 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.82/1.19 tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.19 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.82/1.19 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.19 { true }.
% 0.82/1.19 { ! def = use }.
% 0.82/1.19 { leq( tptp_float_0_001, pv1341 ) }.
% 0.82/1.19 { leq( n1, loopcounter ) }.
% 0.82/1.19 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_best7 ) }.
% 0.82/1.19 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_sworst7 ) }.
% 0.82/1.19 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_worst7 ) }.
% 0.82/1.19 { leq( tptp_float_0_001, pv1341 ), leq( s_best7, n3 ) }.
% 0.82/1.19 { leq( tptp_float_0_001, pv1341 ), leq( s_sworst7, n3 ) }.
% 0.82/1.19 { leq( tptp_float_0_001, pv1341 ), leq( s_worst7, n3 ) }.
% 0.82/1.19 { ! gt( loopcounter, n0 ), leq( n0, s_best7 ) }.
% 0.82/1.19 { ! gt( loopcounter, n0 ), leq( n0, s_sworst7 ) }.
% 0.82/1.19 { ! gt( loopcounter, n0 ), leq( n0, s_worst7 ) }.
% 0.82/1.19 { ! gt( loopcounter, n0 ), leq( s_best7, n3 ) }.
% 0.82/1.19 { ! gt( loopcounter, n0 ), leq( s_sworst7, n3 ) }.
% 0.82/1.19 { ! gt( loopcounter, n0 ), leq( s_worst7, n3 ) }.
% 0.82/1.19 { ! leq( s_best7, n3 ) }.
% 0.82/1.19 { gt( n5, n4 ) }.
% 0.82/1.19 { gt( n4, tptp_minus_1 ) }.
% 0.82/1.19 { gt( n5, tptp_minus_1 ) }.
% 0.82/1.19 { gt( n0, tptp_minus_1 ) }.
% 0.82/1.19 { gt( n1, tptp_minus_1 ) }.
% 0.82/1.19 { gt( n2, tptp_minus_1 ) }.
% 0.82/1.19 { gt( n3, tptp_minus_1 ) }.
% 0.82/1.19 { gt( n4, n0 ) }.
% 0.82/1.19 { gt( n5, n0 ) }.
% 0.82/1.19 { gt( n1, n0 ) }.
% 0.82/1.19 { gt( n2, n0 ) }.
% 0.82/1.19 { gt( n3, n0 ) }.
% 0.82/1.19 { gt( n4, n1 ) }.
% 0.82/1.19 { gt( n5, n1 ) }.
% 0.82/1.19 { gt( n2, n1 ) }.
% 0.82/1.19 { gt( n3, n1 ) }.
% 0.82/1.19 { gt( n4, n2 ) }.
% 0.82/1.19 { gt( n5, n2 ) }.
% 0.82/1.19 { gt( n3, n2 ) }.
% 0.82/1.19 { gt( n4, n3 ) }.
% 0.82/1.19 { gt( n5, n3 ) }.
% 0.82/1.19 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.82/1.19 .
% 0.82/1.19 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.82/1.19 = n5 }.
% 0.82/1.19 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.82/1.19 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.82/1.19 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.82/1.19 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.82/1.19 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.82/1.19 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.82/1.19 { succ( n0 ) = n1 }.
% 0.82/1.19 { succ( succ( n0 ) ) = n2 }.
% 0.82/1.19 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.82/1.19
% 0.82/1.19 percentage equality = 0.177778, percentage horn = 0.867925
% 0.82/1.19 This is a problem with some equality
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Options Used:
% 0.82/1.19
% 0.82/1.19 useres = 1
% 0.82/1.19 useparamod = 1
% 0.82/1.19 useeqrefl = 1
% 0.82/1.19 useeqfact = 1
% 0.82/1.19 usefactor = 1
% 0.82/1.19 usesimpsplitting = 0
% 0.82/1.19 usesimpdemod = 5
% 0.82/1.19 usesimpres = 3
% 0.82/1.19
% 0.82/1.19 resimpinuse = 1000
% 0.82/1.19 resimpclauses = 20000
% 0.82/1.19 substype = eqrewr
% 0.82/1.19 backwardsubs = 1
% 0.82/1.19 selectoldest = 5
% 0.82/1.19
% 0.82/1.19 litorderings [0] = split
% 0.82/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.19
% 0.82/1.19 termordering = kbo
% 0.82/1.19
% 0.82/1.19 litapriori = 0
% 0.82/1.19 termapriori = 1
% 0.82/1.19 litaposteriori = 0
% 0.82/1.19 termaposteriori = 0
% 0.82/1.19 demodaposteriori = 0
% 0.82/1.19 ordereqreflfact = 0
% 0.82/1.19
% 0.82/1.19 litselect = negord
% 0.82/1.19
% 0.82/1.19 maxweight = 15
% 0.82/1.19 maxdepth = 30000
% 0.82/1.19 maxlength = 115
% 0.82/1.19 maxnrvars = 195
% 0.82/1.19 excuselevel = 1
% 0.82/1.19 increasemaxweight = 1
% 0.82/1.19
% 0.82/1.19 maxselected = 10000000
% 0.82/1.19 maxnrclauses = 10000000
% 0.82/1.19
% 0.82/1.19 showgenerated = 0
% 0.82/1.19 showkept = 0
% 0.82/1.19 showselected = 0
% 0.82/1.19 showdeleted = 0
% 0.82/1.19 showresimp = 1
% 0.82/1.19 showstatus = 2000
% 0.82/1.19
% 0.82/1.19 prologoutput = 0
% 0.82/1.19 nrgoals = 5000000
% 0.82/1.19 totalproof = 1
% 0.82/1.19
% 0.82/1.19 Symbols occurring in the translation:
% 0.82/1.19
% 0.82/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.19 . [1, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.82/1.19 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.82/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.19 gt [37, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.82/1.19 leq [39, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.82/1.19 lt [40, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.82/1.19 geq [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.82/1.19 pred [42, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.82/1.19 succ [43, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.82/1.19 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.82/1.19 uniform_int_rnd [46, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.79/2.20 dim [51, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.79/2.20 tptp_const_array1 [52, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.79/2.20 a_select2 [53, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.79/2.20 tptp_const_array2 [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 1.79/2.20 a_select3 [60, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.79/2.20 trans [63, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.79/2.20 inv [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.79/2.20 tptp_update3 [67, 4] (w:1, o:158, a:1, s:1, b:0),
% 1.79/2.20 tptp_madd [69, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.79/2.20 tptp_msub [70, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.79/2.20 tptp_mmul [71, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.79/2.20 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.79/2.20 sum [78, 3] (w:1, o:138, a:1, s:1, b:0),
% 1.79/2.20 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.79/2.20 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.79/2.20 plus [81, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.79/2.20 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.79/2.20 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.79/2.20 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.79/2.20 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.79/2.20 minus [86, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.79/2.20 tptp_update2 [91, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.79/2.20 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.79/2.20 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.79/2.20 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.79/2.20 tptp_float_0_001 [95, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.79/2.20 pv1341 [96, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.79/2.20 loopcounter [97, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.79/2.20 s_best7 [98, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.79/2.20 s_sworst7 [99, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.79/2.20 s_worst7 [100, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.79/2.20 alpha1 [101, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.79/2.20 alpha2 [102, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.79/2.20 alpha3 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.79/2.20 alpha4 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.79/2.20 alpha5 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.79/2.20 alpha6 [106, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.79/2.20 alpha7 [107, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.79/2.20 alpha8 [108, 1] (w:1, o:60, a:1, s:1, b:1),
% 1.79/2.20 alpha9 [109, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.79/2.20 alpha10 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.79/2.20 alpha11 [111, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.79/2.20 alpha12 [112, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.79/2.20 alpha13 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.79/2.20 alpha14 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.79/2.20 alpha15 [115, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.79/2.20 alpha16 [116, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.79/2.20 alpha17 [117, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.79/2.20 alpha18 [118, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.79/2.20 alpha19 [119, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.79/2.20 alpha20 [120, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.79/2.20 alpha21 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.79/2.20 alpha22 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.79/2.20 alpha23 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.79/2.20 alpha24 [124, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.79/2.20 alpha25 [125, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.79/2.20 alpha26 [126, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.79/2.20 alpha27 [127, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.79/2.20 alpha28 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.79/2.20 alpha29 [129, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.79/2.20 alpha30 [130, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.79/2.20 skol1 [131, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.79/2.20 skol2 [132, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.79/2.20 skol3 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.79/2.20 skol4 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.79/2.20 skol5 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.79/2.20 skol6 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.79/2.20 skol7 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.79/2.20 skol8 [138, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.79/2.20 skol9 [139, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.79/2.20 skol10 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.79/2.20 skol11 [141, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.79/2.20 skol12 [142, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.79/2.20 skol13 [143, 4] (w:1, o:156, a:1, s:1, b:1),
% 1.79/2.20 skol14 [144, 3] (w:1, o:139, a:1, s:1, b:1),
% 1.79/2.20 skol15 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.79/2.20 skol16 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.79/2.20 skol17 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.79/2.20 skol18 [148, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.79/2.20 skol19 [149, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.79/2.20 skol20 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.79/2.20 skol21 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.79/2.20 skol22 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.79/2.20 skol23 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.79/2.20 skol24 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.79/2.20 skol25 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.79/2.20 skol26 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.79/2.20 skol27 [157, 4] (w:1, o:157, a:1, s:1, b:1),
% 1.79/2.20 skol28 [158, 1] (w:1, o:57, a:1, s:1, b:1).
% 1.79/2.20
% 1.79/2.20
% 1.79/2.20 Starting Search:
% 1.79/2.20
% 1.79/2.20 *** allocated 15000 integers for clauses
% 1.79/2.20 *** allocated 22500 integers for clauses
% 1.79/2.20 *** allocated 15000 integers for termspace/termends
% 1.79/2.20 *** allocated 33750 integers for clauses
% 1.79/2.20 *** allocated 22500 integers for termspace/termends
% 1.79/2.20 *** allocated 50625 integers for clauses
% 1.79/2.20 *** allocated 75937 integers for clauses
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 33750 integers for termspace/termends
% 1.79/2.20 *** allocated 113905 integers for clauses
% 1.79/2.20 *** allocated 50625 integers for termspace/termends
% 1.79/2.20
% 1.79/2.20 Intermediate Status:
% 1.79/2.20 Generated: 8029
% 1.79/2.20 Kept: 2060
% 1.79/2.20 Inuse: 186
% 1.79/2.20 Deleted: 0
% 1.79/2.20 Deletedinuse: 0
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 170857 integers for clauses
% 1.79/2.20 *** allocated 75937 integers for termspace/termends
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 113905 integers for termspace/termends
% 1.79/2.20 *** allocated 256285 integers for clauses
% 1.79/2.20
% 1.79/2.20 Intermediate Status:
% 1.79/2.20 Generated: 17153
% 1.79/2.20 Kept: 4087
% 1.79/2.20 Inuse: 336
% 1.79/2.20 Deleted: 0
% 1.79/2.20 Deletedinuse: 0
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 170857 integers for termspace/termends
% 1.79/2.20 *** allocated 384427 integers for clauses
% 1.79/2.20
% 1.79/2.20 Intermediate Status:
% 1.79/2.20 Generated: 23235
% 1.79/2.20 Kept: 6087
% 1.79/2.20 Inuse: 457
% 1.79/2.20 Deleted: 0
% 1.79/2.20 Deletedinuse: 0
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 256285 integers for termspace/termends
% 1.79/2.20
% 1.79/2.20 Intermediate Status:
% 1.79/2.20 Generated: 31312
% 1.79/2.20 Kept: 8093
% 1.79/2.20 Inuse: 551
% 1.79/2.20 Deleted: 0
% 1.79/2.20 Deletedinuse: 0
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 576640 integers for clauses
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20
% 1.79/2.20 Intermediate Status:
% 1.79/2.20 Generated: 35993
% 1.79/2.20 Kept: 10101
% 1.79/2.20 Inuse: 691
% 1.79/2.20 Deleted: 0
% 1.79/2.20 Deletedinuse: 0
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 384427 integers for termspace/termends
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20
% 1.79/2.20 Intermediate Status:
% 1.79/2.20 Generated: 44389
% 1.79/2.20 Kept: 12209
% 1.79/2.20 Inuse: 800
% 1.79/2.20 Deleted: 15
% 1.79/2.20 Deletedinuse: 14
% 1.79/2.20
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20 *** allocated 864960 integers for clauses
% 1.79/2.20 Resimplifying inuse:
% 1.79/2.20 Done
% 1.79/2.20
% 1.79/2.20
% 1.79/2.20 Bliksems!, er is een bewijs:
% 1.79/2.20 % SZS status Theorem
% 1.79/2.20 % SZS output start Refutation
% 1.79/2.20
% 1.79/2.20 (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.79/2.20 (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.79/2.20 (176) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( s_best7, n3 )
% 1.79/2.20 }.
% 1.79/2.20 (179) {G0,W3,D2,L1,V0,M1} I { ! leq( s_best7, n3 ) }.
% 1.79/2.20 (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.79/2.20 (13647) {G1,W3,D2,L1,V0,M1} S(176);r(179) { ! gt( loopcounter, n0 ) }.
% 1.79/2.20 (13648) {G2,W0,D0,L0,V0,M0} R(13647,151);d(209);r(172) { }.
% 1.79/2.20
% 1.79/2.20
% 1.79/2.20 % SZS output end Refutation
% 1.79/2.20 found a proof!
% 1.79/2.20
% 1.79/2.20
% 1.79/2.20 Unprocessed initial clauses:
% 1.79/2.20
% 1.79/2.20 (13650) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.79/2.20 (13651) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.79/2.20 (13652) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.79/2.20 (13653) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.79/2.20 (13654) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.79/2.20 }.
% 1.79/2.20 (13655) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.79/2.20 (13656) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.79/2.20 (13657) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13658) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.79/2.20 (13659) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.79/2.20 (13660) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.79/2.20 (13661) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.79/2.20 (13662) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.79/2.20 (13663) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.79/2.20 (13664) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.79/2.20 (13665) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.79/2.20 (13666) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.79/2.20 (13667) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.79/2.20 , X ) }.
% 1.79/2.20 (13668) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.79/2.20 , X ) ) }.
% 1.79/2.20 (13669) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.79/2.20 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.79/2.20 (13670) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.79/2.20 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.79/2.20 V0 ), X, T ) = V0 }.
% 1.79/2.20 (13671) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.79/2.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.79/2.20 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.79/2.20 (13672) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.79/2.20 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.79/2.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.79/2.20 = a_select3( trans( X ), T, Z ) }.
% 1.79/2.20 (13673) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.79/2.20 (13674) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13675) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13676) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha10( X, Y, Z ) }.
% 1.79/2.20 (13677) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13678) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13679) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13680) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.79/2.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.79/2.20 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.79/2.20 (13681) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.79/2.20 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.79/2.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.79/2.20 a_select3( inv( X ), T, Z ) }.
% 1.79/2.20 (13682) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.79/2.20 (13683) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13684) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13685) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha11( X, Y, Z ) }.
% 1.79/2.20 (13686) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13687) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13688) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13689) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.79/2.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.79/2.20 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.79/2.20 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.79/2.20 (13690) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.79/2.20 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.79/2.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.79/2.20 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.79/2.20 ( X, U, U, W ), T, Z ) }.
% 1.79/2.20 (13691) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.79/2.20 (13692) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13693) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13694) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha12( X, Y, Z ) }.
% 1.79/2.20 (13695) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13696) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13697) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13698) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.79/2.20 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.79/2.20 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.79/2.20 ), U, T ) }.
% 1.79/2.20 (13699) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.79/2.20 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.79/2.20 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.79/2.20 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.79/2.20 (13700) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.79/2.20 (13701) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13702) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13703) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha22( X, Y, Z ) }.
% 1.79/2.20 (13704) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13705) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13706) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13707) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.79/2.20 , skol19( X, Y ) ) }.
% 1.79/2.20 (13708) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.79/2.20 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.79/2.20 }.
% 1.79/2.20 (13709) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.79/2.20 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.79/2.20 (13710) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.79/2.20 (13711) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13712) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13713) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha23( X, Y, Z ) }.
% 1.79/2.20 (13714) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13715) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13716) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13717) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.79/2.20 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.79/2.20 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.79/2.20 ), U, T ) }.
% 1.79/2.20 (13718) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.79/2.20 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.79/2.20 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.79/2.20 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.79/2.20 (13719) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.79/2.20 (13720) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13721) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13722) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha24( X, Y, Z ) }.
% 1.79/2.20 (13723) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13724) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13725) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13726) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.79/2.20 , skol21( X, Y ) ) }.
% 1.79/2.20 (13727) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.79/2.20 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.79/2.20 }.
% 1.79/2.20 (13728) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.79/2.20 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.79/2.20 (13729) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.79/2.20 (13730) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13731) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13732) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha25( X, Y, Z ) }.
% 1.79/2.20 (13733) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13734) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13735) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13736) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.79/2.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.79/2.20 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.79/2.20 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.79/2.20 (13737) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.79/2.20 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.79/2.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.79/2.20 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.79/2.20 ( X, trans( U ) ) ), T, Z ) }.
% 1.79/2.20 (13738) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.79/2.20 (13739) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13740) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13741) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha17( X, Y, Z ) }.
% 1.79/2.20 (13742) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13743) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13744) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13745) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.79/2.20 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.79/2.20 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.79/2.20 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.79/2.20 (13746) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.79/2.20 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.79/2.20 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.79/2.20 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.79/2.20 ( X, trans( W ) ) ), T, Z ) }.
% 1.79/2.20 (13747) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.79/2.20 (13748) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13749) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13750) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha18( X, Y, Z ) }.
% 1.79/2.20 (13751) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13752) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13753) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13754) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.79/2.20 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.79/2.20 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.79/2.20 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.79/2.20 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.79/2.20 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.79/2.20 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.79/2.20 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.79/2.20 (13755) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.79/2.20 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.79/2.20 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.79/2.20 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.79/2.20 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.79/2.20 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.79/2.20 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.79/2.20 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.79/2.20 ) ), W, U ) }.
% 1.79/2.20 (13756) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.79/2.20 (13757) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13758) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13759) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha29( X, Y, Z ) }.
% 1.79/2.20 (13760) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13761) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13762) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13763) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.79/2.20 ), skol25( X, Y ) ) }.
% 1.79/2.20 (13764) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.79/2.20 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.79/2.20 }.
% 1.79/2.20 (13765) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.79/2.20 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.79/2.20 (13766) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.79/2.20 (13767) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13768) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13769) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha30( X, Y, Z ) }.
% 1.79/2.20 (13770) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13771) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13772) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13773) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.79/2.20 skol26( X, Y ) ) }.
% 1.79/2.20 (13774) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.79/2.20 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.79/2.20 (13775) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.79/2.20 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.79/2.20 (13776) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.79/2.20 (13777) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.79/2.20 (13778) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.79/2.20 (13779) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.79/2.20 , X ), alpha28( X, Y, Z ) }.
% 1.79/2.20 (13780) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13781) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.79/2.20 (13782) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13783) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.79/2.20 (13784) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.79/2.20 }.
% 1.79/2.20 (13785) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.79/2.20 (13786) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.79/2.20 (13787) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.79/2.20 (13788) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.79/2.20 (13789) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.79/2.20 (13790) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.79/2.20 }.
% 1.79/2.20 (13791) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.79/2.20 }.
% 1.79/2.20 (13792) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.79/2.20 ) ) ) }.
% 1.79/2.20 (13793) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.79/2.20 ) ) ) }.
% 1.79/2.20 (13794) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.79/2.20 succ( X ) ) ) ) ) }.
% 1.79/2.20 (13795) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.79/2.20 succ( X ) ) ) ) ) }.
% 1.79/2.20 (13796) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.79/2.20 (13797) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.79/2.20 (13798) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.79/2.20 (13799) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.79/2.20 }.
% 1.79/2.20 (13800) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.79/2.20 }.
% 1.79/2.20 (13801) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.79/2.20 (13802) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.79/2.20 (13803) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.79/2.20 ) = T }.
% 1.79/2.20 (13804) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.79/2.20 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.79/2.20 (13805) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.79/2.20 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.79/2.20 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.79/2.20 (13806) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.79/2.20 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.79/2.20 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.79/2.20 (13807) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.79/2.20 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.79/2.20 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.79/2.20 (13808) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.79/2.20 (13809) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.79/2.20 (13810) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.79/2.20 , Y, Z ) }.
% 1.79/2.20 (13811) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.79/2.20 (13812) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.79/2.20 (13813) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.79/2.20 ) }.
% 1.79/2.20 (13814) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.79/2.20 }.
% 1.79/2.20 (13815) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.79/2.20 tptp_update2( Z, X, U ), Y ) = T }.
% 1.79/2.20 (13816) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.79/2.21 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.79/2.21 (13817) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.79/2.21 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.79/2.21 (13818) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.79/2.21 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.79/2.21 }.
% 1.79/2.21 (13819) {G0,W1,D1,L1,V0,M1} { true }.
% 1.79/2.21 (13820) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.79/2.21 (13821) {G0,W3,D2,L1,V0,M1} { leq( tptp_float_0_001, pv1341 ) }.
% 1.79/2.21 (13822) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.79/2.21 (13823) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.79/2.21 s_best7 ) }.
% 1.79/2.21 (13824) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.79/2.21 s_sworst7 ) }.
% 1.79/2.21 (13825) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.79/2.21 s_worst7 ) }.
% 1.79/2.21 (13826) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.79/2.21 s_best7, n3 ) }.
% 1.79/2.21 (13827) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.79/2.21 s_sworst7, n3 ) }.
% 1.79/2.21 (13828) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.79/2.21 s_worst7, n3 ) }.
% 1.79/2.21 (13829) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_best7 )
% 1.79/2.21 }.
% 1.79/2.21 (13830) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_sworst7
% 1.79/2.21 ) }.
% 1.79/2.21 (13831) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_worst7 )
% 1.79/2.21 }.
% 1.79/2.21 (13832) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_best7, n3 )
% 1.79/2.21 }.
% 1.79/2.21 (13833) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_sworst7, n3
% 1.79/2.21 ) }.
% 1.79/2.21 (13834) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_worst7, n3 )
% 1.79/2.21 }.
% 1.79/2.21 (13835) {G0,W3,D2,L1,V0,M1} { ! leq( s_best7, n3 ) }.
% 1.79/2.21 (13836) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.79/2.21 (13837) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.79/2.21 (13838) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.79/2.21 (13839) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.79/2.21 (13840) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.79/2.21 (13841) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.79/2.21 (13842) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.79/2.21 (13843) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.79/2.21 (13844) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.79/2.21 (13845) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.79/2.21 (13846) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.79/2.21 (13847) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.79/2.21 (13848) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.79/2.21 (13849) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.79/2.21 (13850) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.79/2.21 (13851) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.79/2.21 (13852) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.79/2.21 (13853) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.79/2.21 (13854) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.79/2.21 (13855) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.79/2.21 (13856) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.79/2.21 (13857) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.79/2.21 n1, X = n2, X = n3, X = n4 }.
% 1.79/2.21 (13858) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.79/2.21 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.79/2.21 (13859) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.79/2.21 (13860) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.79/2.21 n1 }.
% 1.79/2.21 (13861) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.79/2.21 n1, X = n2 }.
% 1.79/2.21 (13862) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.79/2.21 n1, X = n2, X = n3 }.
% 1.79/2.21 (13863) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.79/2.21 (13864) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.79/2.21 n5 }.
% 1.79/2.21 (13865) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.79/2.21 (13866) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.79/2.21 (13867) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.79/2.21
% 1.79/2.21
% 1.79/2.21 Total Proof:
% 1.79/2.21
% 1.79/2.21 subsumption: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X
% 1.79/2.21 ) }.
% 1.79/2.21 parent0: (13801) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X )
% 1.79/2.21 }.
% 1.79/2.21 substitution0:
% 1.79/2.21 X := X
% 1.79/2.21 Y := Y
% 1.79/2.21 end
% 1.79/2.21 permutation0:
% 1.79/2.21 0 ==> 0
% 1.79/2.21 1 ==> 1
% 1.79/2.21 end
% 1.79/2.21
% 1.79/2.21 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.79/2.21 parent0: (13822) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.79/2.21 substitution0:
% 1.86/2.22 end
% 1.86/2.22 permutation0:
% 1.86/2.22 0 ==> 0
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 *** allocated 576640 integers for termspace/termends
% 1.86/2.22 subsumption: (176) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq(
% 1.86/2.22 s_best7, n3 ) }.
% 1.86/2.22 parent0: (13832) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq(
% 1.86/2.22 s_best7, n3 ) }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 permutation0:
% 1.86/2.22 0 ==> 0
% 1.86/2.22 1 ==> 1
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( s_best7, n3 ) }.
% 1.86/2.22 parent0: (13835) {G0,W3,D2,L1,V0,M1} { ! leq( s_best7, n3 ) }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 permutation0:
% 1.86/2.22 0 ==> 0
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 subsumption: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.86/2.22 parent0: (13865) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 permutation0:
% 1.86/2.22 0 ==> 0
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 resolution: (16495) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.86/2.22 parent0[0]: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( s_best7, n3 ) }.
% 1.86/2.22 parent1[1]: (176) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq(
% 1.86/2.22 s_best7, n3 ) }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 substitution1:
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 subsumption: (13647) {G1,W3,D2,L1,V0,M1} S(176);r(179) { ! gt( loopcounter
% 1.86/2.22 , n0 ) }.
% 1.86/2.22 parent0: (16495) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 permutation0:
% 1.86/2.22 0 ==> 0
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 resolution: (16497) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), loopcounter )
% 1.86/2.22 }.
% 1.86/2.22 parent0[0]: (13647) {G1,W3,D2,L1,V0,M1} S(176);r(179) { ! gt( loopcounter,
% 1.86/2.22 n0 ) }.
% 1.86/2.22 parent1[1]: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X )
% 1.86/2.22 }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 substitution1:
% 1.86/2.22 X := n0
% 1.86/2.22 Y := loopcounter
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 paramod: (16498) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.86/2.22 parent0[0]: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.86/2.22 parent1[0; 2]: (16497) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ),
% 1.86/2.22 loopcounter ) }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 substitution1:
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 resolution: (16499) {G1,W0,D0,L0,V0,M0} { }.
% 1.86/2.22 parent0[0]: (16498) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.86/2.22 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 substitution1:
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 subsumption: (13648) {G2,W0,D0,L0,V0,M0} R(13647,151);d(209);r(172) { }.
% 1.86/2.22 parent0: (16499) {G1,W0,D0,L0,V0,M0} { }.
% 1.86/2.22 substitution0:
% 1.86/2.22 end
% 1.86/2.22 permutation0:
% 1.86/2.22 end
% 1.86/2.22
% 1.86/2.22 Proof check complete!
% 1.86/2.22
% 1.86/2.22 Memory use:
% 1.86/2.22
% 1.86/2.22 space for terms: 336771
% 1.86/2.22 space for clauses: 610803
% 1.86/2.22
% 1.86/2.22
% 1.86/2.22 clauses generated: 47917
% 1.86/2.22 clauses kept: 13649
% 1.86/2.22 clauses selected: 849
% 1.86/2.22 clauses deleted: 19
% 1.86/2.22 clauses inuse deleted: 16
% 1.86/2.22
% 1.86/2.22 subsentry: 209874
% 1.86/2.22 literals s-matched: 71563
% 1.86/2.22 literals matched: 59350
% 1.86/2.22 full subsumption: 40502
% 1.86/2.22
% 1.86/2.22 checksum: 589289066
% 1.86/2.22
% 1.86/2.22
% 1.86/2.22 Bliksem ended
%------------------------------------------------------------------------------