%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV098+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 16:22:29 EDT 2022
% Result : Theorem 12.84s 13.23s
% Output : Refutation 12.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV098+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 21:32:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.17 *** allocated 10000 integers for termspace/termends
% 0.45/1.17 *** allocated 10000 integers for clauses
% 0.45/1.17 *** allocated 10000 integers for justifications
% 0.45/1.17 Bliksem 1.12
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Automatic Strategy Selection
% 0.45/1.17
% 0.45/1.17 *** allocated 15000 integers for termspace/termends
% 0.45/1.17
% 0.45/1.17 Clauses:
% 0.45/1.17
% 0.45/1.17 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.45/1.17 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.45/1.17 { ! gt( X, X ) }.
% 0.45/1.17 { leq( X, X ) }.
% 0.45/1.17 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.45/1.17 { ! lt( X, Y ), gt( Y, X ) }.
% 0.45/1.17 { ! gt( Y, X ), lt( X, Y ) }.
% 0.45/1.17 { ! geq( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( Y, X ), geq( X, Y ) }.
% 0.45/1.17 { ! gt( Y, X ), leq( X, Y ) }.
% 0.45/1.17 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.45/1.17 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.45/1.17 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.45/1.17 { gt( succ( X ), X ) }.
% 0.45/1.17 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.45/1.17 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.45/1.17 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.45/1.17 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.45/1.17 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.45/1.17 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.45/1.17 T ), X ) = T }.
% 0.45/1.17 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.45/1.17 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.45/1.17 { alpha11( Y, skol1( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.17 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.45/1.17 a_select3( trans( X ), T, Z ) }.
% 0.45/1.17 { ! a_select3( X, skol1( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.45/1.17 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.17 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.45/1.17 ) }.
% 0.45/1.17 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.45/1.17 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.45/1.17 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.45/1.17 { alpha12( Y, skol2( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.17 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.45/1.17 a_select3( inv( X ), T, Z ) }.
% 0.45/1.17 { ! a_select3( X, skol2( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.45/1.17 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.17 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.45/1.17 .
% 0.45/1.17 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.45/1.17 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.45/1.17 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.45/1.17 { alpha13( Y, skol3( X, Y ), skol19( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.17 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.45/1.17 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.45/1.17 X, U, U, W ), T, Z ) }.
% 0.45/1.17 { ! a_select3( X, skol3( X, Y ), skol19( X, Y ) ) = a_select3( X, skol19( X
% 0.45/1.17 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.17 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.45/1.17 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.45/1.17 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.45/1.17 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.45/1.17 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.45/1.17 { alpha4( X, Z ), alpha25( Z, skol4( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.45/1.17 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.45/1.17 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.45/1.17 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol20( Y, Z ) ) =
% 0.45/1.17 a_select3( Y, skol20( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.45/1.17 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.45/1.17 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.45/1.17 { ! alpha25( X, Y, Z ), alpha14( X, Y ) }.
% 0.45/1.17 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.45/1.17 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.45/1.17 { ! alpha4( X, Y ), alpha26( Y, skol5( X, Y ), skol21( X, Y ) ) }.
% 0.45/1.17 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol21( X, Y ) ) =
% 0.45/1.17 a_select3( X, skol21( X, Y ), skol5( X, Y ) ) }.
% 0.45/1.17 { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.45/1.17 ( X, Y ) }.
% 0.45/1.17 { ! alpha26( X, Y, Z ), alpha15( X, Y ) }.
% 0.45/1.17 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.45/1.17 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.45/1.17 { alpha5( X, Z ), alpha27( Z, skol6( Y, Z ), skol22( Y, Z ) ), ! leq( n0, T
% 0.45/1.17 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.45/1.17 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.45/1.17 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol22( Y, Z ) ) =
% 0.45/1.17 a_select3( Y, skol22( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.45/1.17 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.45/1.17 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.45/1.17 { ! alpha27( X, Y, Z ), alpha16( X, Y ) }.
% 0.45/1.17 { ! alpha27( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha27( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha27( X, Y, Z ) }.
% 0.45/1.17 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.45/1.17 { ! alpha5( X, Y ), alpha28( Y, skol7( X, Y ), skol23( X, Y ) ) }.
% 0.45/1.17 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol23( X, Y ) ) =
% 0.45/1.17 a_select3( X, skol23( X, Y ), skol7( X, Y ) ) }.
% 0.45/1.17 { ! alpha28( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.45/1.17 ( X, Y ) }.
% 0.45/1.17 { ! alpha28( X, Y, Z ), alpha17( X, Y ) }.
% 0.45/1.17 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.45/1.17 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.45/1.17 { alpha18( Y, skol8( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.17 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.45/1.17 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.45/1.17 U ) ) ), T, Z ) }.
% 0.45/1.17 { ! a_select3( X, skol8( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.45/1.17 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.17 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.45/1.17 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.45/1.17 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.45/1.17 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.45/1.17 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.45/1.17 { alpha19( Y, skol9( X, Y ), skol25( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.45/1.17 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.45/1.17 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.45/1.17 W ) ) ), T, Z ) }.
% 0.45/1.17 { ! a_select3( X, skol9( X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X
% 0.45/1.17 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.45/1.17 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.45/1.17 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.45/1.17 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.45/1.17 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.45/1.17 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.45/1.17 { alpha8( Y ), alpha20( X, T ), alpha34( T, skol10( Z, T ), skol26( Z, T )
% 0.45/1.17 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.45/1.17 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.45/1.17 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.45/1.17 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.45/1.17 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.45/1.17 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.45/1.17 ) }.
% 0.45/1.17 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol26( Z,
% 0.45/1.17 T ) ) = a_select3( Z, skol26( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.45/1.17 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.45/1.17 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.45/1.17 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.45/1.17 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.45/1.17 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.45/1.17 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.45/1.17 { ! alpha34( X, Y, Z ), alpha29( X, Y ) }.
% 0.45/1.17 { ! alpha34( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha34( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha29( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha34( X, Y, Z ) }.
% 0.45/1.17 { ! alpha29( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha29( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha29( X, Y ) }.
% 0.45/1.17 { ! alpha20( X, Y ), alpha35( Y, skol11( X, Y ), skol27( X, Y ) ) }.
% 0.45/1.17 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol27( X, Y ) ) =
% 0.45/1.17 a_select3( X, skol27( X, Y ), skol11( X, Y ) ) }.
% 0.45/1.17 { ! alpha35( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.45/1.17 alpha20( X, Y ) }.
% 0.45/1.17 { ! alpha35( X, Y, Z ), alpha30( X, Y ) }.
% 0.45/1.17 { ! alpha35( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha35( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha30( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha35( X, Y, Z ) }.
% 0.45/1.17 { ! alpha30( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha30( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha30( X, Y ) }.
% 0.45/1.17 { ! alpha8( X ), alpha31( Y, skol12( X, Y ), skol28( X, Y ) ) }.
% 0.45/1.17 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol28( X, Y ) ) =
% 0.45/1.17 a_select3( X, skol28( X, Y ), skol12( X, Y ) ) }.
% 0.45/1.17 { ! alpha31( skol32( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.45/1.17 ), alpha8( X ) }.
% 0.45/1.17 { ! alpha31( X, Y, Z ), alpha21( X, Y ) }.
% 0.45/1.17 { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.17 { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.17 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha31( X, Y, Z ) }.
% 0.45/1.17 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.45/1.17 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.45/1.17 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.45/1.17 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.45/1.17 { succ( tptp_minus_1 ) = n0 }.
% 0.45/1.17 { plus( X, n1 ) = succ( X ) }.
% 0.45/1.17 { plus( n1, X ) = succ( X ) }.
% 0.45/1.17 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.45/1.17 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.45/1.17 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.45/1.17 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.45/1.17 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.45/1.17 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.45/1.17 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.45/1.17 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.45/1.17 { minus( X, n1 ) = pred( X ) }.
% 0.45/1.17 { pred( succ( X ) ) = X }.
% 0.45/1.17 { succ( pred( X ) ) = X }.
% 0.45/1.17 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.45/1.17 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.45/1.17 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.45/1.17 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.45/1.17 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.45/1.17 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.45/1.17 , Y, V0 ), Z, T ) = W }.
% 0.45/1.17 { leq( skol29( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.45/1.17 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.45/1.17 }.
% 0.45/1.17 { alpha22( Z, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ), ! leq( n0, X )
% 0.45/1.17 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.45/1.17 U, Z, T, W ), X, Y ) = W }.
% 0.45/1.17 { ! a_select3( U, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ) = W, ! leq(
% 0.45/1.17 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.45/1.17 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.45/1.17 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.45/1.17 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.45/1.17 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.45/1.17 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.45/1.17 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.45/1.17 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.45/1.17 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.45/1.17 T }.
% 0.45/1.17 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.45/1.17 tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.17 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.45/1.17 tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.17 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.45/1.17 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.17 { true }.
% 0.45/1.17 { ! def = use }.
% 0.45/1.17 { a_select2( rho_defuse, n0 ) = use }.
% 0.45/1.17 { a_select2( rho_defuse, n1 ) = use }.
% 0.45/1.17 { a_select2( rho_defuse, n2 ) = use }.
% 0.45/1.17 { a_select2( sigma_defuse, n0 ) = use }.
% 0.45/1.17 { a_select2( sigma_defuse, n1 ) = use }.
% 0.45/1.17 { a_select2( sigma_defuse, n2 ) = use }.
% 0.45/1.17 { a_select2( sigma_defuse, n3 ) = use }.
% 0.45/1.17 { a_select2( sigma_defuse, n4 ) = use }.
% 0.45/1.17 { a_select2( sigma_defuse, n5 ) = use }.
% 0.45/1.17 { a_select3( u_defuse, n0, n0 ) = use }.
% 0.45/1.17 { a_select3( u_defuse, n1, n0 ) = use }.
% 0.45/1.17 { a_select3( u_defuse, n2, n0 ) = use }.
% 0.45/1.17 { a_select2( xinit_defuse, n3 ) = use }.
% 0.45/1.17 { a_select2( xinit_defuse, n4 ) = use }.
% 0.45/1.17 { a_select2( xinit_defuse, n5 ) = use }.
% 0.45/1.17 { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.45/1.17 { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.45/1.17 { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.45/1.17 { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.45/1.17 { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.45/1.17 { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.45/1.17 { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.45/1.17 { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.45/1.17 { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.45/1.17 { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.45/1.17 { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.45/1.17 { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.45/1.17 { leq( n0, pv5 ) }.
% 0.45/1.17 { leq( pv5, minus( n999, n1 ) ) }.
% 0.45/1.17 { alpha10 }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, minus( pv5, n1
% 0.45/1.17 ) ), alpha23( X, Y ) }.
% 0.45/1.17 { ! a_select2( rho_defuse, n0 ) = use, ! a_select2( rho_defuse, n1 ) = use
% 0.45/1.17 , ! a_select2( rho_defuse, n2 ) = use, ! a_select2( sigma_defuse, n0 ) =
% 0.45/1.17 use, ! a_select2( sigma_defuse, n1 ) = use, ! a_select2( sigma_defuse, n2
% 0.45/1.17 ) = use, ! a_select2( sigma_defuse, n3 ) = use, ! a_select2(
% 0.45/1.17 sigma_defuse, n4 ) = use, ! a_select2( sigma_defuse, n5 ) = use, !
% 0.45/1.17 a_select3( u_defuse, n0, n0 ) = use, ! a_select3( u_defuse, n1, n0 ) =
% 0.45/1.17 use, ! a_select3( u_defuse, n2, n0 ) = use, ! a_select2( xinit_defuse, n3
% 0.45/1.17 ) = use, ! a_select2( xinit_defuse, n4 ) = use, ! a_select2(
% 0.45/1.17 xinit_defuse, n5 ) = use, ! a_select2( xinit_mean_defuse, n0 ) = use, !
% 0.45/1.17 a_select2( xinit_mean_defuse, n1 ) = use, ! a_select2( xinit_mean_defuse
% 0.45/1.17 , n2 ) = use, ! a_select2( xinit_mean_defuse, n3 ) = use, ! a_select2(
% 0.45/1.17 xinit_mean_defuse, n4 ) = use, ! a_select2( xinit_mean_defuse, n5 ) = use
% 0.45/1.17 , ! a_select2( xinit_noise_defuse, n0 ) = use, ! a_select2(
% 0.45/1.17 xinit_noise_defuse, n1 ) = use, ! a_select2( xinit_noise_defuse, n2 ) =
% 0.45/1.17 use, ! a_select2( xinit_noise_defuse, n3 ) = use, ! a_select2(
% 0.45/1.17 xinit_noise_defuse, n4 ) = use, ! a_select2( xinit_noise_defuse, n5 ) =
% 0.45/1.17 use, alpha32( skol15, skol30 ) }.
% 0.45/1.17 { ! a_select2( rho_defuse, n0 ) = use, ! a_select2( rho_defuse, n1 ) = use
% 0.45/1.17 , ! a_select2( rho_defuse, n2 ) = use, ! a_select2( sigma_defuse, n0 ) =
% 0.45/1.17 use, ! a_select2( sigma_defuse, n1 ) = use, ! a_select2( sigma_defuse, n2
% 0.45/1.17 ) = use, ! a_select2( sigma_defuse, n3 ) = use, ! a_select2(
% 0.45/1.17 sigma_defuse, n4 ) = use, ! a_select2( sigma_defuse, n5 ) = use, !
% 0.45/1.17 a_select3( u_defuse, n0, n0 ) = use, ! a_select3( u_defuse, n1, n0 ) =
% 0.45/1.17 use, ! a_select3( u_defuse, n2, n0 ) = use, ! a_select2( xinit_defuse, n3
% 0.45/1.17 ) = use, ! a_select2( xinit_defuse, n4 ) = use, ! a_select2(
% 0.45/1.17 xinit_defuse, n5 ) = use, ! a_select2( xinit_mean_defuse, n0 ) = use, !
% 0.45/1.17 a_select2( xinit_mean_defuse, n1 ) = use, ! a_select2( xinit_mean_defuse
% 0.45/1.17 , n2 ) = use, ! a_select2( xinit_mean_defuse, n3 ) = use, ! a_select2(
% 0.45/1.17 xinit_mean_defuse, n4 ) = use, ! a_select2( xinit_mean_defuse, n5 ) = use
% 0.45/1.17 , ! a_select2( xinit_noise_defuse, n0 ) = use, ! a_select2(
% 0.45/1.17 xinit_noise_defuse, n1 ) = use, ! a_select2( xinit_noise_defuse, n2 ) =
% 0.45/1.17 use, ! a_select2( xinit_noise_defuse, n3 ) = use, ! a_select2(
% 0.45/1.17 xinit_noise_defuse, n4 ) = use, ! a_select2( xinit_noise_defuse, n5 ) =
% 0.45/1.17 use, ! a_select3( u_defuse, skol15, skol30 ) = use, ! a_select3( z_defuse
% 0.45/1.17 , skol15, skol30 ) = use }.
% 0.45/1.17 { ! alpha32( X, Y ), alpha36( X, Y ) }.
% 0.45/1.17 { ! alpha32( X, Y ), leq( Y, minus( plus( n1, pv5 ), n1 ) ) }.
% 0.45/1.17 { ! alpha36( X, Y ), ! leq( Y, minus( plus( n1, pv5 ), n1 ) ), alpha32( X,
% 0.45/1.17 Y ) }.
% 0.45/1.17 { ! alpha36( X, Y ), leq( n0, X ) }.
% 0.45/1.17 { ! alpha36( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 { ! alpha36( X, Y ), leq( X, n2 ) }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), alpha36( X, Y ) }.
% 0.45/1.17 { ! alpha23( X, Y ), a_select3( u_defuse, X, Y ) = use }.
% 0.45/1.17 { ! alpha23( X, Y ), a_select3( z_defuse, X, Y ) = use }.
% 0.45/1.17 { ! a_select3( u_defuse, X, Y ) = use, ! a_select3( z_defuse, X, Y ) = use
% 0.45/1.17 , alpha23( X, Y ) }.
% 0.45/1.17 { ! alpha10, alpha24( X, Y ), a_select3( u_defuse, X, Y ) = use }.
% 0.45/1.17 { ! alpha10, alpha24( X, Y ), a_select3( z_defuse, X, Y ) = use }.
% 0.45/1.17 { ! alpha24( skol16, skol31 ), alpha10 }.
% 0.45/1.17 { ! a_select3( u_defuse, skol16, skol31 ) = use, ! a_select3( z_defuse,
% 0.45/1.17 skol16, skol31 ) = use, alpha10 }.
% 0.45/1.17 { ! alpha24( X, Y ), alpha33( X, Y ), ! leq( Y, pv5 ) }.
% 0.45/1.17 { ! alpha33( X, Y ), alpha24( X, Y ) }.
% 0.45/1.17 { leq( Y, pv5 ), alpha24( X, Y ) }.
% 0.45/1.17 { ! alpha33( X, Y ), ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ) }.
% 0.45/1.17 { leq( n0, X ), alpha33( X, Y ) }.
% 0.45/1.17 { leq( n0, Y ), alpha33( X, Y ) }.
% 0.45/1.17 { leq( X, n2 ), alpha33( X, Y ) }.
% 0.45/1.17 { gt( n5, n4 ) }.
% 0.45/1.17 { gt( n999, n4 ) }.
% 0.45/1.17 { gt( n999, n5 ) }.
% 0.45/1.17 { gt( n4, tptp_minus_1 ) }.
% 0.45/1.17 { gt( n5, tptp_minus_1 ) }.
% 0.45/1.17 { gt( n999, tptp_minus_1 ) }.
% 0.45/1.17 { gt( n0, tptp_minus_1 ) }.
% 0.45/1.17 { gt( n1, tptp_minus_1 ) }.
% 0.45/1.17 { gt( n2, tptp_minus_1 ) }.
% 0.45/1.17 { gt( n3, tptp_minus_1 ) }.
% 0.45/1.17 { gt( n4, n0 ) }.
% 0.45/1.17 { gt( n5, n0 ) }.
% 0.45/1.17 { gt( n999, n0 ) }.
% 0.45/1.17 { gt( n1, n0 ) }.
% 0.45/1.17 { gt( n2, n0 ) }.
% 0.45/1.17 { gt( n3, n0 ) }.
% 0.45/1.17 { gt( n4, n1 ) }.
% 0.45/1.17 { gt( n5, n1 ) }.
% 0.45/1.17 { gt( n999, n1 ) }.
% 0.45/1.17 { gt( n2, n1 ) }.
% 0.45/1.17 { gt( n3, n1 ) }.
% 0.45/1.17 { gt( n4, n2 ) }.
% 0.45/1.17 { gt( n5, n2 ) }.
% 0.45/1.17 { gt( n999, n2 ) }.
% 0.45/1.17 { gt( n3, n2 ) }.
% 0.45/1.17 { gt( n4, n3 ) }.
% 0.45/1.17 { gt( n5, n3 ) }.
% 0.45/1.17 { gt( n999, n3 ) }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.45/1.17 .
% 0.45/1.17 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.45/1.17 = n5 }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.45/1.17 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.45/1.17 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.45/1.17 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.45/1.17 { succ( n0 ) = n1 }.
% 0.45/1.17 { succ( succ( n0 ) ) = n2 }.
% 0.45/1.17 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.45/1.17
% 0.45/1.17 *** allocated 15000 integers for clauses
% 0.45/1.17 percentage equality = 0.275708, percentage horn = 0.870229
% 0.45/1.17 This is a problem with some equality
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Options Used:
% 0.45/1.17
% 0.45/1.17 useres = 1
% 0.45/1.17 useparamod = 1
% 0.45/1.17 useeqrefl = 1
% 0.45/1.17 useeqfact = 1
% 0.45/1.17 usefactor = 1
% 0.45/1.17 usesimpsplitting = 0
% 0.45/1.17 usesimpdemod = 5
% 0.45/1.17 usesimpres = 3
% 0.45/1.17
% 0.45/1.17 resimpinuse = 1000
% 0.45/1.17 resimpclauses = 20000
% 0.45/1.17 substype = eqrewr
% 0.45/1.17 backwardsubs = 1
% 0.45/1.17 selectoldest = 5
% 0.45/1.17
% 0.45/1.17 litorderings [0] = split
% 0.45/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.17
% 0.45/1.17 termordering = kbo
% 0.45/1.17
% 0.45/1.17 litapriori = 0
% 0.45/1.17 termapriori = 1
% 0.45/1.17 litaposteriori = 0
% 0.45/1.17 termaposteriori = 0
% 0.45/1.17 demodaposteriori = 0
% 0.45/1.17 ordereqreflfact = 0
% 0.45/1.17
% 0.45/1.17 litselect = negord
% 0.45/1.17
% 0.45/1.17 maxweight = 15
% 0.45/1.17 maxdepth = 30000
% 0.45/1.17 maxlength = 115
% 0.45/1.17 maxnrvars = 195
% 0.45/1.17 excuselevel = 1
% 0.45/1.17 increasemaxweight = 1
% 0.45/1.17
% 0.45/1.17 maxselected = 10000000
% 0.45/1.17 maxnrclauses = 10000000
% 0.45/1.17
% 0.45/1.17 showgenerated = 0
% 0.45/1.17 showkept = 0
% 0.45/1.17 showselected = 0
% 0.45/1.17 showdeleted = 0
% 0.45/1.17 showresimp = 1
% 0.45/1.17 showstatus = 2000
% 0.45/1.17
% 0.45/1.17 prologoutput = 0
% 0.45/1.17 nrgoals = 5000000
% 0.45/1.17 totalproof = 1
% 0.45/1.17
% 0.45/1.17 Symbols occurring in the translation:
% 0.45/1.17
% 0.45/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.17 . [1, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.45/1.17 ! [4, 1] (w:0, o:58, a:1, s:1, b:0),
% 0.45/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.95/11.32 gt [37, 2] (w:1, o:93, a:1, s:1, b:0),
% 10.95/11.32 leq [39, 2] (w:1, o:94, a:1, s:1, b:0),
% 10.95/11.32 lt [40, 2] (w:1, o:95, a:1, s:1, b:0),
% 10.95/11.32 geq [41, 2] (w:1, o:96, a:1, s:1, b:0),
% 10.95/11.32 pred [42, 1] (w:1, o:63, a:1, s:1, b:0),
% 10.95/11.32 succ [43, 1] (w:1, o:64, a:1, s:1, b:0),
% 10.95/11.32 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 10.95/11.32 uniform_int_rnd [46, 2] (w:1, o:125, a:1, s:1, b:0),
% 10.95/11.32 dim [51, 2] (w:1, o:126, a:1, s:1, b:0),
% 10.95/11.32 tptp_const_array1 [52, 2] (w:1, o:121, a:1, s:1, b:0),
% 10.95/11.32 a_select2 [53, 2] (w:1, o:127, a:1, s:1, b:0),
% 10.95/11.32 tptp_const_array2 [59, 3] (w:1, o:153, a:1, s:1, b:0),
% 10.95/11.32 a_select3 [60, 3] (w:1, o:154, a:1, s:1, b:0),
% 10.95/11.32 trans [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 10.95/11.32 inv [64, 1] (w:1, o:67, a:1, s:1, b:0),
% 10.95/11.32 tptp_update3 [67, 4] (w:1, o:171, a:1, s:1, b:0),
% 10.95/11.32 tptp_madd [69, 2] (w:1, o:122, a:1, s:1, b:0),
% 10.95/11.32 tptp_msub [70, 2] (w:1, o:123, a:1, s:1, b:0),
% 10.95/11.32 tptp_mmul [71, 2] (w:1, o:124, a:1, s:1, b:0),
% 10.95/11.32 tptp_minus_1 [77, 0] (w:1, o:37, a:1, s:1, b:0),
% 10.95/11.32 sum [78, 3] (w:1, o:151, a:1, s:1, b:0),
% 10.95/11.32 tptp_float_0_0 [79, 0] (w:1, o:38, a:1, s:1, b:0),
% 10.95/11.32 n1 [80, 0] (w:1, o:39, a:1, s:1, b:0),
% 10.95/11.32 plus [81, 2] (w:1, o:128, a:1, s:1, b:0),
% 10.95/11.32 n2 [82, 0] (w:1, o:40, a:1, s:1, b:0),
% 10.95/11.32 n3 [83, 0] (w:1, o:41, a:1, s:1, b:0),
% 10.95/11.32 n4 [84, 0] (w:1, o:42, a:1, s:1, b:0),
% 10.95/11.32 n5 [85, 0] (w:1, o:43, a:1, s:1, b:0),
% 10.95/11.32 minus [86, 2] (w:1, o:129, a:1, s:1, b:0),
% 10.95/11.32 tptp_update2 [91, 3] (w:1, o:155, a:1, s:1, b:0),
% 10.95/11.32 true [92, 0] (w:1, o:46, a:1, s:1, b:0),
% 10.95/11.32 def [93, 0] (w:1, o:47, a:1, s:1, b:0),
% 10.95/11.32 use [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 10.95/11.32 rho_defuse [95, 0] (w:1, o:49, a:1, s:1, b:0),
% 10.95/11.32 sigma_defuse [96, 0] (w:1, o:32, a:1, s:1, b:0),
% 10.95/11.32 u_defuse [97, 0] (w:1, o:50, a:1, s:1, b:0),
% 10.95/11.32 xinit_defuse [98, 0] (w:1, o:51, a:1, s:1, b:0),
% 10.95/11.32 xinit_mean_defuse [99, 0] (w:1, o:52, a:1, s:1, b:0),
% 10.95/11.32 xinit_noise_defuse [100, 0] (w:1, o:53, a:1, s:1, b:0),
% 10.95/11.32 pv5 [101, 0] (w:1, o:54, a:1, s:1, b:0),
% 10.95/11.32 n999 [102, 0] (w:1, o:55, a:1, s:1, b:0),
% 10.95/11.32 z_defuse [103, 0] (w:1, o:56, a:1, s:1, b:0),
% 10.95/11.32 alpha1 [104, 2] (w:1, o:130, a:1, s:1, b:1),
% 10.95/11.32 alpha2 [105, 2] (w:1, o:135, a:1, s:1, b:1),
% 10.95/11.32 alpha3 [106, 2] (w:1, o:141, a:1, s:1, b:1),
% 10.95/11.32 alpha4 [107, 2] (w:1, o:146, a:1, s:1, b:1),
% 10.95/11.32 alpha5 [108, 2] (w:1, o:147, a:1, s:1, b:1),
% 10.95/11.32 alpha6 [109, 2] (w:1, o:148, a:1, s:1, b:1),
% 10.95/11.32 alpha7 [110, 2] (w:1, o:149, a:1, s:1, b:1),
% 10.95/11.32 alpha8 [111, 1] (w:1, o:68, a:1, s:1, b:1),
% 10.95/11.32 alpha9 [112, 2] (w:1, o:150, a:1, s:1, b:1),
% 10.95/11.32 alpha10 [113, 0] (w:1, o:57, a:1, s:1, b:1),
% 10.95/11.32 alpha11 [114, 3] (w:1, o:156, a:1, s:1, b:1),
% 10.95/11.32 alpha12 [115, 3] (w:1, o:157, a:1, s:1, b:1),
% 10.95/11.32 alpha13 [116, 3] (w:1, o:158, a:1, s:1, b:1),
% 10.95/11.32 alpha14 [117, 2] (w:1, o:131, a:1, s:1, b:1),
% 10.95/11.32 alpha15 [118, 2] (w:1, o:132, a:1, s:1, b:1),
% 10.95/11.32 alpha16 [119, 2] (w:1, o:133, a:1, s:1, b:1),
% 10.95/11.32 alpha17 [120, 2] (w:1, o:134, a:1, s:1, b:1),
% 10.95/11.32 alpha18 [121, 3] (w:1, o:159, a:1, s:1, b:1),
% 10.95/11.32 alpha19 [122, 3] (w:1, o:160, a:1, s:1, b:1),
% 10.95/11.32 alpha20 [123, 2] (w:1, o:136, a:1, s:1, b:1),
% 10.95/11.32 alpha21 [124, 2] (w:1, o:137, a:1, s:1, b:1),
% 10.95/11.32 alpha22 [125, 3] (w:1, o:161, a:1, s:1, b:1),
% 10.95/11.32 alpha23 [126, 2] (w:1, o:138, a:1, s:1, b:1),
% 10.95/11.32 alpha24 [127, 2] (w:1, o:139, a:1, s:1, b:1),
% 10.95/11.32 alpha25 [128, 3] (w:1, o:162, a:1, s:1, b:1),
% 10.95/11.32 alpha26 [129, 3] (w:1, o:163, a:1, s:1, b:1),
% 10.95/11.32 alpha27 [130, 3] (w:1, o:164, a:1, s:1, b:1),
% 10.95/11.32 alpha28 [131, 3] (w:1, o:165, a:1, s:1, b:1),
% 10.95/11.32 alpha29 [132, 2] (w:1, o:140, a:1, s:1, b:1),
% 10.95/11.32 alpha30 [133, 2] (w:1, o:142, a:1, s:1, b:1),
% 10.95/11.32 alpha31 [134, 3] (w:1, o:166, a:1, s:1, b:1),
% 10.95/11.32 alpha32 [135, 2] (w:1, o:143, a:1, s:1, b:1),
% 10.95/11.32 alpha33 [136, 2] (w:1, o:144, a:1, s:1, b:1),
% 10.95/11.32 alpha34 [137, 3] (w:1, o:167, a:1, s:1, b:1),
% 10.95/11.32 alpha35 [138, 3] (w:1, o:168, a:1, s:1, b:1),
% 10.95/11.32 alpha36 [139, 2] (w:1, o:145, a:1, s:1, b:1),
% 10.95/11.32 skol1 [140, 2] (w:1, o:97, a:1, s:1, b:1),
% 12.84/13.23 skol2 [141, 2] (w:1, o:104, a:1, s:1, b:1),
% 12.84/13.23 skol3 [142, 2] (w:1, o:114, a:1, s:1, b:1),
% 12.84/13.23 skol4 [143, 2] (w:1, o:115, a:1, s:1, b:1),
% 12.84/13.23 skol5 [144, 2] (w:1, o:116, a:1, s:1, b:1),
% 12.84/13.23 skol6 [145, 2] (w:1, o:117, a:1, s:1, b:1),
% 12.84/13.23 skol7 [146, 2] (w:1, o:118, a:1, s:1, b:1),
% 12.84/13.23 skol8 [147, 2] (w:1, o:119, a:1, s:1, b:1),
% 12.84/13.23 skol9 [148, 2] (w:1, o:120, a:1, s:1, b:1),
% 12.84/13.23 skol10 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 12.84/13.23 skol11 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 12.84/13.23 skol12 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 12.84/13.23 skol13 [152, 4] (w:1, o:169, a:1, s:1, b:1),
% 12.84/13.23 skol14 [153, 3] (w:1, o:152, a:1, s:1, b:1),
% 12.84/13.23 skol15 [154, 0] (w:1, o:33, a:1, s:1, b:1),
% 12.84/13.23 skol16 [155, 0] (w:1, o:34, a:1, s:1, b:1),
% 12.84/13.23 skol17 [156, 2] (w:1, o:101, a:1, s:1, b:1),
% 12.84/13.23 skol18 [157, 2] (w:1, o:102, a:1, s:1, b:1),
% 12.84/13.23 skol19 [158, 2] (w:1, o:103, a:1, s:1, b:1),
% 12.84/13.23 skol20 [159, 2] (w:1, o:105, a:1, s:1, b:1),
% 12.84/13.23 skol21 [160, 2] (w:1, o:106, a:1, s:1, b:1),
% 12.84/13.23 skol22 [161, 2] (w:1, o:107, a:1, s:1, b:1),
% 12.84/13.23 skol23 [162, 2] (w:1, o:108, a:1, s:1, b:1),
% 12.84/13.23 skol24 [163, 2] (w:1, o:109, a:1, s:1, b:1),
% 12.84/13.23 skol25 [164, 2] (w:1, o:110, a:1, s:1, b:1),
% 12.84/13.23 skol26 [165, 2] (w:1, o:111, a:1, s:1, b:1),
% 12.84/13.23 skol27 [166, 2] (w:1, o:112, a:1, s:1, b:1),
% 12.84/13.23 skol28 [167, 2] (w:1, o:113, a:1, s:1, b:1),
% 12.84/13.23 skol29 [168, 4] (w:1, o:170, a:1, s:1, b:1),
% 12.84/13.23 skol30 [169, 0] (w:1, o:35, a:1, s:1, b:1),
% 12.84/13.23 skol31 [170, 0] (w:1, o:36, a:1, s:1, b:1),
% 12.84/13.23 skol32 [171, 1] (w:1, o:65, a:1, s:1, b:1).
% 12.84/13.23
% 12.84/13.23
% 12.84/13.23 Starting Search:
% 12.84/13.23
% 12.84/13.23 *** allocated 22500 integers for clauses
% 12.84/13.23 *** allocated 33750 integers for clauses
% 12.84/13.23 *** allocated 22500 integers for termspace/termends
% 12.84/13.23 *** allocated 50625 integers for clauses
% 12.84/13.23 *** allocated 75937 integers for clauses
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 33750 integers for termspace/termends
% 12.84/13.23 *** allocated 113905 integers for clauses
% 12.84/13.23 *** allocated 50625 integers for termspace/termends
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 7908
% 12.84/13.23 Kept: 2009
% 12.84/13.23 Inuse: 169
% 12.84/13.23 Deleted: 0
% 12.84/13.23 Deletedinuse: 0
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 170857 integers for clauses
% 12.84/13.23 *** allocated 75937 integers for termspace/termends
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 113905 integers for termspace/termends
% 12.84/13.23 *** allocated 256285 integers for clauses
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 15958
% 12.84/13.23 Kept: 4029
% 12.84/13.23 Inuse: 326
% 12.84/13.23 Deleted: 0
% 12.84/13.23 Deletedinuse: 0
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 170857 integers for termspace/termends
% 12.84/13.23 *** allocated 384427 integers for clauses
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 23125
% 12.84/13.23 Kept: 6033
% 12.84/13.23 Inuse: 458
% 12.84/13.23 Deleted: 0
% 12.84/13.23 Deletedinuse: 0
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 256285 integers for termspace/termends
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 31266
% 12.84/13.23 Kept: 8053
% 12.84/13.23 Inuse: 551
% 12.84/13.23 Deleted: 0
% 12.84/13.23 Deletedinuse: 0
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 576640 integers for clauses
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 35941
% 12.84/13.23 Kept: 10053
% 12.84/13.23 Inuse: 694
% 12.84/13.23 Deleted: 0
% 12.84/13.23 Deletedinuse: 0
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 384427 integers for termspace/termends
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 44352
% 12.84/13.23 Kept: 12164
% 12.84/13.23 Inuse: 800
% 12.84/13.23 Deleted: 13
% 12.84/13.23 Deletedinuse: 12
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 864960 integers for clauses
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 49960
% 12.84/13.23 Kept: 14392
% 12.84/13.23 Inuse: 1014
% 12.84/13.23 Deleted: 14
% 12.84/13.23 Deletedinuse: 12
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 576640 integers for termspace/termends
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 86962
% 12.84/13.23 Kept: 16982
% 12.84/13.23 Inuse: 1079
% 12.84/13.23 Deleted: 14
% 12.84/13.23 Deletedinuse: 12
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23
% 12.84/13.23 Intermediate Status:
% 12.84/13.23 Generated: 153951
% 12.84/13.23 Kept: 19527
% 12.84/13.23 Inuse: 1094
% 12.84/13.23 Deleted: 14
% 12.84/13.23 Deletedinuse: 12
% 12.84/13.23
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 *** allocated 864960 integers for termspace/termends
% 12.84/13.23 *** allocated 1297440 integers for clauses
% 12.84/13.23 Resimplifying inuse:
% 12.84/13.23 Done
% 12.84/13.23
% 12.84/13.23 Resimplifying clauses:
% 12.84/13.23
% 12.84/13.23 Bliksems!, er is een bewijs:
% 12.84/13.23 % SZS status Theorem
% 12.84/13.23 % SZS output start Refutation
% 12.84/13.23
% 12.84/13.23 (137) {G0,W6,D3,L1,V1,M1} I { plus( n1, X ) ==> succ( X ) }.
% 12.84/13.23 (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 12.84/13.23 (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 12.84/13.23 (171) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n0 ) ==> use }.
% 12.84/13.23 (172) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n1 ) ==> use }.
% 12.84/13.23 (173) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n2 ) ==> use }.
% 12.84/13.23 (174) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n0 ) ==> use }.
% 12.84/13.23 (175) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n1 ) ==> use }.
% 12.84/13.23 (176) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n2 ) ==> use }.
% 12.84/13.23 (177) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n3 ) ==> use }.
% 12.84/13.23 (178) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n4 ) ==> use }.
% 12.84/13.23 (179) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n5 ) ==> use }.
% 12.84/13.23 (180) {G0,W6,D3,L1,V0,M1} I { a_select3( u_defuse, n0, n0 ) ==> use }.
% 12.84/13.23 (181) {G0,W6,D3,L1,V0,M1} I { a_select3( u_defuse, n1, n0 ) ==> use }.
% 12.84/13.23 (182) {G0,W6,D3,L1,V0,M1} I { a_select3( u_defuse, n2, n0 ) ==> use }.
% 12.84/13.23 (183) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_defuse, n3 ) ==> use }.
% 12.84/13.23 (184) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_defuse, n4 ) ==> use }.
% 12.84/13.23 (185) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_defuse, n5 ) ==> use }.
% 12.84/13.23 (186) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n0 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (187) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n1 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (188) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n2 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (189) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n3 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (190) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n4 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (191) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n5 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (192) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse, n0 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (193) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse, n1 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (194) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse, n2 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (195) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse, n3 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (196) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse, n4 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (197) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse, n5 ) ==> use
% 12.84/13.23 }.
% 12.84/13.23 (200) {G0,W1,D1,L1,V0,M1} I { alpha10 }.
% 12.84/13.23 (202) {G1,W3,D2,L1,V0,M1} I;d(171);d(172);d(173);d(174);d(175);d(176);d(177
% 12.84/13.23 );d(178);d(179);d(180);d(181);d(182);d(183);d(184);d(185);d(186);d(187);d
% 12.84/13.23 (188);d(189);d(190);d(191);d(192);d(193);d(194);d(195);d(196);d(197);q;q;
% 12.84/13.23 q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q { alpha32( skol15,
% 12.84/13.23 skol30 ) }.
% 12.84/13.23 (203) {G1,W12,D3,L2,V0,M2} I;d(171);d(172);d(173);d(174);d(175);d(176);d(
% 12.84/13.23 177);d(178);d(179);d(180);d(181);d(182);d(183);d(184);d(185);d(186);d(187
% 12.84/13.23 );d(188);d(189);d(190);d(191);d(192);d(193);d(194);d(195);d(196);d(197);q
% 12.84/13.23 ;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q { ! a_select3(
% 12.84/13.23 u_defuse, skol15, skol30 ) ==> use, ! a_select3( z_defuse, skol15, skol30
% 12.84/13.23 ) ==> use }.
% 12.84/13.23 (204) {G0,W6,D2,L2,V2,M2} I { ! alpha32( X, Y ), alpha36( X, Y ) }.
% 12.84/13.23 (205) {G1,W6,D2,L2,V2,M2} I;d(146);d(137);d(147) { ! alpha32( X, Y ), leq(
% 12.84/13.23 Y, pv5 ) }.
% 12.84/13.23 (207) {G0,W6,D2,L2,V2,M2} I { ! alpha36( X, Y ), leq( n0, X ) }.
% 12.84/13.23 (208) {G0,W6,D2,L2,V2,M2} I { ! alpha36( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (209) {G0,W6,D2,L2,V2,M2} I { ! alpha36( X, Y ), leq( X, n2 ) }.
% 12.84/13.23 (214) {G1,W9,D3,L2,V2,M2} I;r(200) { alpha24( X, Y ), a_select3( u_defuse,
% 12.84/13.23 X, Y ) ==> use }.
% 12.84/13.23 (215) {G1,W9,D3,L2,V2,M2} I;r(200) { alpha24( X, Y ), a_select3( z_defuse,
% 12.84/13.23 X, Y ) ==> use }.
% 12.84/13.23 (216) {G0,W9,D2,L3,V2,M3} I { ! alpha24( X, Y ), alpha33( X, Y ), ! leq( Y
% 12.84/13.23 , pv5 ) }.
% 12.84/13.23 (219) {G0,W12,D2,L4,V2,M4} I { ! alpha33( X, Y ), ! leq( n0, X ), ! leq( n0
% 12.84/13.23 , Y ), ! leq( X, n2 ) }.
% 12.84/13.23 (13411) {G2,W3,D2,L1,V0,M1} R(204,202) { alpha36( skol15, skol30 ) }.
% 12.84/13.23 (13441) {G2,W3,D2,L1,V0,M1} R(205,202) { leq( skol30, pv5 ) }.
% 12.84/13.23 (13567) {G3,W3,D2,L1,V0,M1} R(207,13411) { leq( n0, skol15 ) }.
% 12.84/13.23 (13766) {G3,W3,D2,L1,V0,M1} R(208,13411) { leq( n0, skol30 ) }.
% 12.84/13.23 (13965) {G3,W3,D2,L1,V0,M1} R(209,13411) { leq( skol15, n2 ) }.
% 12.84/13.23 (14502) {G2,W3,D2,L1,V0,M1} R(214,203);d(215);q { alpha24( skol15, skol30 )
% 12.84/13.23 }.
% 12.84/13.23 (14517) {G3,W3,D2,L1,V0,M1} R(216,14502);r(13441) { alpha33( skol15, skol30
% 12.84/13.23 ) }.
% 12.84/13.23 (14675) {G4,W6,D2,L2,V0,M2} R(219,14517);r(13567) { ! leq( n0, skol30 ), !
% 12.84/13.23 leq( skol15, n2 ) }.
% 12.84/13.23 (20947) {G5,W0,D0,L0,V0,M0} S(14675);r(13766);r(13965) { }.
% 12.84/13.23
% 12.84/13.23
% 12.84/13.23 % SZS output end Refutation
% 12.84/13.23 found a proof!
% 12.84/13.23
% 12.84/13.23
% 12.84/13.23 Unprocessed initial clauses:
% 12.84/13.23
% 12.84/13.23 (20949) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 12.84/13.23 (20950) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 12.84/13.23 (20951) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 12.84/13.23 (20952) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 12.84/13.23 (20953) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 12.84/13.23 }.
% 12.84/13.23 (20954) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 12.84/13.23 (20955) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 12.84/13.23 (20956) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (20957) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 12.84/13.23 (20958) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 12.84/13.23 (20959) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 12.84/13.23 (20960) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 12.84/13.23 (20961) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 12.84/13.23 (20962) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 12.84/13.23 (20963) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 12.84/13.23 (20964) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 12.84/13.23 (20965) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 12.84/13.23 (20966) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 12.84/13.23 , X ) }.
% 12.84/13.23 (20967) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 12.84/13.23 , X ) ) }.
% 12.84/13.23 (20968) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 12.84/13.23 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 12.84/13.23 (20969) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 12.84/13.23 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 12.84/13.23 V0 ), X, T ) = V0 }.
% 12.84/13.23 (20970) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol1( X, Y ), skol17( X, Y ) )
% 12.84/13.23 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 12.84/13.23 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 12.84/13.23 (20971) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol17( X, Y
% 12.84/13.23 ) ) = a_select3( X, skol17( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 12.84/13.23 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 12.84/13.23 = a_select3( trans( X ), T, Z ) }.
% 12.84/13.23 (20972) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 12.84/13.23 (20973) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (20974) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (20975) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha11( X, Y, Z ) }.
% 12.84/13.23 (20976) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (20977) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (20978) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (20979) {G0,W31,D4,L6,V4,M6} { alpha12( Y, skol2( X, Y ), skol18( X, Y ) )
% 12.84/13.23 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 12.84/13.23 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 12.84/13.23 (20980) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol18( X, Y
% 12.84/13.23 ) ) = a_select3( X, skol18( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 12.84/13.23 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 12.84/13.23 a_select3( inv( X ), T, Z ) }.
% 12.84/13.23 (20981) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 12.84/13.23 (20982) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (20983) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (20984) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha12( X, Y, Z ) }.
% 12.84/13.23 (20985) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (20986) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (20987) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (20988) {G0,W43,D4,L8,V6,M8} { alpha13( Y, skol3( X, Y ), skol19( X, Y ) )
% 12.84/13.23 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 12.84/13.23 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 12.84/13.23 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 12.84/13.23 (20989) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol19( X, Y
% 12.84/13.23 ) ) = a_select3( X, skol19( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 12.84/13.23 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 12.84/13.23 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 12.84/13.23 ( X, U, U, W ), T, Z ) }.
% 12.84/13.23 (20990) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 12.84/13.23 (20991) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (20992) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (20993) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha13( X, Y, Z ) }.
% 12.84/13.23 (20994) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (20995) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (20996) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (20997) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha25( Z, skol4( Y, Z ),
% 12.84/13.23 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 12.84/13.23 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 12.84/13.23 ), U, T ) }.
% 12.84/13.23 (20998) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 12.84/13.23 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol4( Y, Z ) ), !
% 12.84/13.23 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 12.84/13.23 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 12.84/13.23 (20999) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha14( X, Y ) }.
% 12.84/13.23 (21000) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21001) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21002) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha25( X, Y, Z ) }.
% 12.84/13.23 (21003) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21004) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21005) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21006) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha26( Y, skol5( X, Y )
% 12.84/13.23 , skol21( X, Y ) ) }.
% 12.84/13.23 (21007) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 12.84/13.23 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol5( X, Y ) )
% 12.84/13.23 }.
% 12.84/13.23 (21008) {G0,W16,D3,L3,V4,M3} { ! alpha26( Y, Z, T ), a_select3( X, Z, T )
% 12.84/13.23 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 12.84/13.23 (21009) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha15( X, Y ) }.
% 12.84/13.23 (21010) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21011) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21012) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha26( X, Y, Z ) }.
% 12.84/13.23 (21013) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21014) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21015) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21016) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha27( Z, skol6( Y, Z ),
% 12.84/13.23 skol22( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 12.84/13.23 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 12.84/13.23 ), U, T ) }.
% 12.84/13.23 (21017) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 12.84/13.23 ), skol22( Y, Z ) ) = a_select3( Y, skol22( Y, Z ), skol6( Y, Z ) ), !
% 12.84/13.23 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 12.84/13.23 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 12.84/13.23 (21018) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), alpha16( X, Y ) }.
% 12.84/13.23 (21019) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21020) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21021) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha27( X, Y, Z ) }.
% 12.84/13.23 (21022) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21023) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21024) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21025) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha28( Y, skol7( X, Y )
% 12.84/13.23 , skol23( X, Y ) ) }.
% 12.84/13.23 (21026) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 12.84/13.23 , Y ), skol23( X, Y ) ) = a_select3( X, skol23( X, Y ), skol7( X, Y ) )
% 12.84/13.23 }.
% 12.84/13.23 (21027) {G0,W16,D3,L3,V4,M3} { ! alpha28( Y, Z, T ), a_select3( X, Z, T )
% 12.84/13.23 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 12.84/13.23 (21028) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha17( X, Y ) }.
% 12.84/13.23 (21029) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21030) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21031) {G0,W13,D2,L4,V3,M4} { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha28( X, Y, Z ) }.
% 12.84/13.23 (21032) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21033) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21034) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21035) {G0,W39,D6,L6,V5,M6} { alpha18( Y, skol8( X, Y ), skol24( X, Y ) )
% 12.84/13.23 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 12.84/13.23 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 12.84/13.23 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 12.84/13.23 (21036) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol24( X, Y
% 12.84/13.23 ) ) = a_select3( X, skol24( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 12.84/13.23 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 12.84/13.23 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 12.84/13.23 ( X, trans( U ) ) ), T, Z ) }.
% 12.84/13.23 (21037) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 12.84/13.23 (21038) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21039) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21040) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha18( X, Y, Z ) }.
% 12.84/13.23 (21041) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21042) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21043) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21044) {G0,W39,D6,L6,V6,M6} { alpha19( Y, skol9( X, Y ), skol25( X, Y ) )
% 12.84/13.23 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 12.84/13.23 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 12.84/13.23 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 12.84/13.23 (21045) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol25( X, Y
% 12.84/13.23 ) ) = a_select3( X, skol25( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 12.84/13.23 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 12.84/13.23 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 12.84/13.23 ( X, trans( W ) ) ), T, Z ) }.
% 12.84/13.23 (21046) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 12.84/13.23 (21047) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21048) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21049) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha19( X, Y, Z ) }.
% 12.84/13.23 (21050) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21051) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21052) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21053) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), alpha34( T,
% 12.84/13.23 skol10( Z, T ), skol26( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 12.84/13.23 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 12.84/13.23 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 12.84/13.23 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 12.84/13.23 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 12.84/13.23 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 12.84/13.23 ) ), trans( V0 ) ) ) ), W, U ) }.
% 12.84/13.23 (21054) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), ! a_select3
% 12.84/13.23 ( Z, skol10( Z, T ), skol26( Z, T ) ) = a_select3( Z, skol26( Z, T ),
% 12.84/13.23 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 12.84/13.23 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 12.84/13.23 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 12.84/13.23 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 12.84/13.23 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 12.84/13.23 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 12.84/13.23 ) ), W, U ) }.
% 12.84/13.23 (21055) {G0,W7,D2,L2,V3,M2} { ! alpha34( X, Y, Z ), alpha29( X, Y ) }.
% 12.84/13.23 (21056) {G0,W7,D2,L2,V3,M2} { ! alpha34( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21057) {G0,W7,D2,L2,V3,M2} { ! alpha34( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21058) {G0,W13,D2,L4,V3,M4} { ! alpha29( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha34( X, Y, Z ) }.
% 12.84/13.23 (21059) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21060) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21061) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha29( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21062) {G0,W11,D3,L2,V2,M2} { ! alpha20( X, Y ), alpha35( Y, skol11( X, Y
% 12.84/13.23 ), skol27( X, Y ) ) }.
% 12.84/13.23 (21063) {G0,W20,D4,L2,V2,M2} { ! alpha20( X, Y ), ! a_select3( X, skol11(
% 12.84/13.23 X, Y ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol11( X, Y ) )
% 12.84/13.23 }.
% 12.84/13.23 (21064) {G0,W16,D3,L3,V4,M3} { ! alpha35( Y, Z, T ), a_select3( X, Z, T )
% 12.84/13.23 = a_select3( X, T, Z ), alpha20( X, Y ) }.
% 12.84/13.23 (21065) {G0,W7,D2,L2,V3,M2} { ! alpha35( X, Y, Z ), alpha30( X, Y ) }.
% 12.84/13.23 (21066) {G0,W7,D2,L2,V3,M2} { ! alpha35( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21067) {G0,W7,D2,L2,V3,M2} { ! alpha35( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21068) {G0,W13,D2,L4,V3,M4} { ! alpha30( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha35( X, Y, Z ) }.
% 12.84/13.23 (21069) {G0,W6,D2,L2,V2,M2} { ! alpha30( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21070) {G0,W6,D2,L2,V2,M2} { ! alpha30( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21071) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha30( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21072) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha31( Y, skol12( X, Y ),
% 12.84/13.23 skol28( X, Y ) ) }.
% 12.84/13.23 (21073) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 12.84/13.23 ), skol28( X, Y ) ) = a_select3( X, skol28( X, Y ), skol12( X, Y ) ) }.
% 12.84/13.23 (21074) {G0,W16,D3,L3,V3,M3} { ! alpha31( skol32( X ), Y, Z ), a_select3(
% 12.84/13.23 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 12.84/13.23 (21075) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), alpha21( X, Y ) }.
% 12.84/13.23 (21076) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 12.84/13.23 (21077) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 12.84/13.23 (21078) {G0,W13,D2,L4,V3,M4} { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.84/13.23 , X ), alpha31( X, Y, Z ) }.
% 12.84/13.23 (21079) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21080) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( Y, X ) }.
% 12.84/13.23 (21081) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21082) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 12.84/13.23 (21083) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 12.84/13.23 }.
% 12.84/13.23 (21084) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 12.84/13.23 (21085) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 12.84/13.23 (21086) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 12.84/13.23 (21087) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 12.84/13.23 (21088) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 12.84/13.23 (21089) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 12.84/13.23 }.
% 12.84/13.23 (21090) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 12.84/13.23 }.
% 12.84/13.23 (21091) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 12.84/13.23 ) ) ) }.
% 12.84/13.23 (21092) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 12.84/13.23 ) ) ) }.
% 12.84/13.23 (21093) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 12.84/13.23 succ( X ) ) ) ) ) }.
% 12.84/13.23 (21094) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 12.84/13.23 succ( X ) ) ) ) ) }.
% 12.84/13.23 (21095) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 12.84/13.23 (21096) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 12.84/13.23 (21097) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 12.84/13.23 (21098) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 12.84/13.23 }.
% 12.84/13.23 (21099) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 12.84/13.23 }.
% 12.84/13.23 (21100) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 12.84/13.23 (21101) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 12.84/13.23 (21102) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 12.84/13.23 ) = T }.
% 12.84/13.23 (21103) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 12.84/13.23 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 12.84/13.23 (21104) {G0,W29,D4,L6,V9,M6} { leq( skol29( V0, T, V1, V2 ), T ), ! leq(
% 12.84/13.23 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 12.84/13.23 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 12.84/13.23 (21105) {G0,W34,D4,L6,V6,M6} { alpha22( Z, skol13( Z, T, U, W ), skol29( Z
% 12.84/13.23 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 12.84/13.23 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 12.84/13.23 (21106) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 12.84/13.23 skol29( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 12.84/13.23 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 12.84/13.23 (21107) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 12.84/13.23 (21108) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 12.84/13.23 (21109) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X
% 12.84/13.23 , Y, Z ) }.
% 12.84/13.23 (21110) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 12.84/13.23 (21111) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21112) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 12.84/13.23 ) }.
% 12.84/13.23 (21113) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 12.84/13.23 }.
% 12.84/13.23 (21114) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 12.84/13.23 tptp_update2( Z, X, U ), Y ) = T }.
% 12.84/13.23 (21115) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 12.84/13.23 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 12.84/13.23 (21116) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 12.84/13.23 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 12.84/13.23 (21117) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 12.84/13.23 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 12.84/13.23 }.
% 12.84/13.23 (21118) {G0,W1,D1,L1,V0,M1} { true }.
% 12.84/13.23 (21119) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 12.84/13.23 (21120) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n0 ) = use }.
% 12.84/13.23 (21121) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n1 ) = use }.
% 12.84/13.23 (21122) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n2 ) = use }.
% 12.84/13.23 (21123) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n0 ) = use }.
% 12.84/13.23 (21124) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n1 ) = use }.
% 12.84/13.23 (21125) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n2 ) = use }.
% 12.84/13.23 (21126) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n3 ) = use }.
% 12.84/13.23 (21127) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n4 ) = use }.
% 12.84/13.23 (21128) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n5 ) = use }.
% 12.84/13.23 (21129) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n0, n0 ) = use }.
% 12.84/13.23 (21130) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n1, n0 ) = use }.
% 12.84/13.23 (21131) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n2, n0 ) = use }.
% 12.84/13.23 (21132) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n3 ) = use }.
% 12.84/13.23 (21133) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n4 ) = use }.
% 12.84/13.23 (21134) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n5 ) = use }.
% 12.84/13.23 (21135) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n0 ) = use }.
% 12.84/13.23 (21136) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n1 ) = use }.
% 12.84/13.23 (21137) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n2 ) = use }.
% 12.84/13.23 (21138) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n3 ) = use }.
% 12.84/13.23 (21139) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n4 ) = use }.
% 12.84/13.23 (21140) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n5 ) = use }.
% 12.84/13.23 (21141) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n0 ) = use
% 12.84/13.23 }.
% 12.84/13.23 (21142) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n1 ) = use
% 12.84/13.23 }.
% 12.84/13.23 (21143) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n2 ) = use
% 12.84/13.23 }.
% 12.84/13.23 (21144) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n3 ) = use
% 12.84/13.23 }.
% 12.84/13.23 (21145) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n4 ) = use
% 12.84/13.23 }.
% 12.84/13.23 (21146) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n5 ) = use
% 12.84/13.23 }.
% 12.84/13.23 (21147) {G0,W3,D2,L1,V0,M1} { leq( n0, pv5 ) }.
% 12.84/13.23 (21148) {G0,W5,D3,L1,V0,M1} { leq( pv5, minus( n999, n1 ) ) }.
% 12.84/13.23 (21149) {G0,W1,D1,L1,V0,M1} { alpha10 }.
% 12.84/13.23 (21150) {G0,W17,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 12.84/13.23 n2 ), ! leq( Y, minus( pv5, n1 ) ), alpha23( X, Y ) }.
% 12.84/13.23 (21151) {G0,W141,D3,L28,V0,M28} { ! a_select2( rho_defuse, n0 ) = use, !
% 12.84/13.23 a_select2( rho_defuse, n1 ) = use, ! a_select2( rho_defuse, n2 ) = use, !
% 12.84/13.23 a_select2( sigma_defuse, n0 ) = use, ! a_select2( sigma_defuse, n1 ) =
% 12.84/13.23 use, ! a_select2( sigma_defuse, n2 ) = use, ! a_select2( sigma_defuse, n3
% 12.84/13.23 ) = use, ! a_select2( sigma_defuse, n4 ) = use, ! a_select2(
% 12.84/13.23 sigma_defuse, n5 ) = use, ! a_select3( u_defuse, n0, n0 ) = use, !
% 12.84/13.23 a_select3( u_defuse, n1, n0 ) = use, ! a_select3( u_defuse, n2, n0 ) =
% 12.84/13.23 use, ! a_select2( xinit_defuse, n3 ) = use, ! a_select2( xinit_defuse, n4
% 12.84/13.23 ) = use, ! a_select2( xinit_defuse, n5 ) = use, ! a_select2(
% 12.84/13.23 xinit_mean_defuse, n0 ) = use, ! a_select2( xinit_mean_defuse, n1 ) = use
% 12.84/13.23 , ! a_select2( xinit_mean_defuse, n2 ) = use, ! a_select2(
% 12.84/13.23 xinit_mean_defuse, n3 ) = use, ! a_select2( xinit_mean_defuse, n4 ) = use
% 12.84/13.23 , ! a_select2( xinit_mean_defuse, n5 ) = use, ! a_select2(
% 12.84/13.23 xinit_noise_defuse, n0 ) = use, ! a_select2( xinit_noise_defuse, n1 ) =
% 12.84/13.23 use, ! a_select2( xinit_noise_defuse, n2 ) = use, ! a_select2(
% 12.84/13.23 xinit_noise_defuse, n3 ) = use, ! a_select2( xinit_noise_defuse, n4 ) =
% 12.84/13.23 use, ! a_select2( xinit_noise_defuse, n5 ) = use, alpha32( skol15, skol30
% 12.84/13.23 ) }.
% 12.84/13.23 (21152) {G0,W150,D3,L29,V0,M29} { ! a_select2( rho_defuse, n0 ) = use, !
% 12.84/13.23 a_select2( rho_defuse, n1 ) = use, ! a_select2( rho_defuse, n2 ) = use, !
% 12.84/13.23 a_select2( sigma_defuse, n0 ) = use, ! a_select2( sigma_defuse, n1 ) =
% 12.84/13.23 use, ! a_select2( sigma_defuse, n2 ) = use, ! a_select2( sigma_defuse, n3
% 12.84/13.23 ) = use, ! a_select2( sigma_defuse, n4 ) = use, ! a_select2(
% 12.84/13.23 sigma_defuse, n5 ) = use, ! a_select3( u_defuse, n0, n0 ) = use, !
% 12.84/13.23 a_select3( u_defuse, n1, n0 ) = use, ! a_select3( u_defuse, n2, n0 ) =
% 12.84/13.23 use, ! a_select2( xinit_defuse, n3 ) = use, ! a_select2( xinit_defuse, n4
% 12.84/13.23 ) = use, ! a_select2( xinit_defuse, n5 ) = use, ! a_select2(
% 12.84/13.23 xinit_mean_defuse, n0 ) = use, ! a_select2( xinit_mean_defuse, n1 ) = use
% 12.84/13.23 , ! a_select2( xinit_mean_defuse, n2 ) = use, ! a_select2(
% 12.84/13.23 xinit_mean_defuse, n3 ) = use, ! a_select2( xinit_mean_defuse, n4 ) = use
% 12.84/13.23 , ! a_select2( xinit_mean_defuse, n5 ) = use, ! a_select2(
% 12.84/13.23 xinit_noise_defuse, n0 ) = use, ! a_select2( xinit_noise_defuse, n1 ) =
% 12.84/13.23 use, ! a_select2( xinit_noise_defuse, n2 ) = use, ! a_select2(
% 12.84/13.23 xinit_noise_defuse, n3 ) = use, ! a_select2( xinit_noise_defuse, n4 ) =
% 12.84/13.23 use, ! a_select2( xinit_noise_defuse, n5 ) = use, ! a_select3( u_defuse,
% 12.84/13.23 skol15, skol30 ) = use, ! a_select3( z_defuse, skol15, skol30 ) = use }.
% 12.84/13.23 (21153) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha36( X, Y ) }.
% 12.84/13.23 (21154) {G0,W10,D4,L2,V2,M2} { ! alpha32( X, Y ), leq( Y, minus( plus( n1
% 12.84/13.23 , pv5 ), n1 ) ) }.
% 12.84/13.23 (21155) {G0,W13,D4,L3,V2,M3} { ! alpha36( X, Y ), ! leq( Y, minus( plus(
% 12.84/13.23 n1, pv5 ), n1 ) ), alpha32( X, Y ) }.
% 12.84/13.23 (21156) {G0,W6,D2,L2,V2,M2} { ! alpha36( X, Y ), leq( n0, X ) }.
% 12.84/13.23 (21157) {G0,W6,D2,L2,V2,M2} { ! alpha36( X, Y ), leq( n0, Y ) }.
% 12.84/13.23 (21158) {G0,W6,D2,L2,V2,M2} { ! alpha36( X, Y ), leq( X, n2 ) }.
% 12.84/13.23 (21159) {G0,W12,D2,L4,V2,M4} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 12.84/13.23 n2 ), alpha36( X, Y ) }.
% 12.84/13.23 (21160) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y ), a_select3( u_defuse, X, Y
% 12.84/13.23 ) = use }.
% 12.84/13.23 (21161) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y ), a_select3( z_defuse, X, Y
% 12.84/13.23 ) = use }.
% 12.84/13.23 (21162) {G0,W15,D3,L3,V2,M3} { ! a_select3( u_defuse, X, Y ) = use, !
% 12.84/13.23 a_select3( z_defuse, X, Y ) = use, alpha23( X, Y ) }.
% 12.84/13.23 (21163) {G0,W10,D3,L3,V2,M3} { ! alpha10, alpha24( X, Y ), a_select3(
% 12.84/13.23 u_defuse, X, Y ) = use }.
% 12.84/13.23 (21164) {G0,W10,D3,L3,V2,M3} { ! alpha10, alpha24( X, Y ), a_select3(
% 12.84/13.23 z_defuse, X, Y ) = use }.
% 12.84/13.23 (21165) {G0,W4,D2,L2,V0,M2} { ! alpha24( skol16, skol31 ), alpha10 }.
% 12.84/13.23 (21166) {G0,W13,D3,L3,V0,M3} { ! a_select3( u_defuse, skol16, skol31 ) =
% 12.84/13.23 use, ! a_select3( z_defuse, skol16, skol31 ) = use, alpha10 }.
% 12.84/13.23 (21167) {G0,W9,D2,L3,V2,M3} { ! alpha24( X, Y ), alpha33( X, Y ), ! leq( Y
% 12.84/13.23 , pv5 ) }.
% 12.84/13.23 (21168) {G0,W6,D2,L2,V2,M2} { ! alpha33( X, Y ), alpha24( X, Y ) }.
% 12.84/13.23 (21169) {G0,W6,D2,L2,V2,M2} { leq( Y, pv5 ), alpha24( X, Y ) }.
% 12.84/13.26 (21170) {G0,W12,D2,L4,V2,M4} { ! alpha33( X, Y ), ! leq( n0, X ), ! leq(
% 12.84/13.26 n0, Y ), ! leq( X, n2 ) }.
% 12.84/13.26 (21171) {G0,W6,D2,L2,V2,M2} { leq( n0, X ), alpha33( X, Y ) }.
% 12.84/13.26 (21172) {G0,W6,D2,L2,V2,M2} { leq( n0, Y ), alpha33( X, Y ) }.
% 12.84/13.26 (21173) {G0,W6,D2,L2,V2,M2} { leq( X, n2 ), alpha33( X, Y ) }.
% 12.84/13.26 (21174) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 12.84/13.26 (21175) {G0,W3,D2,L1,V0,M1} { gt( n999, n4 ) }.
% 12.84/13.26 (21176) {G0,W3,D2,L1,V0,M1} { gt( n999, n5 ) }.
% 12.84/13.26 (21177) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 12.84/13.26 (21178) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 12.84/13.26 (21179) {G0,W3,D2,L1,V0,M1} { gt( n999, tptp_minus_1 ) }.
% 12.84/13.26 (21180) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 12.84/13.26 (21181) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 12.84/13.26 (21182) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 12.84/13.26 (21183) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 12.84/13.26 (21184) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 12.84/13.26 (21185) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 12.84/13.26 (21186) {G0,W3,D2,L1,V0,M1} { gt( n999, n0 ) }.
% 12.84/13.26 (21187) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 12.84/13.26 (21188) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 12.84/13.26 (21189) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 12.84/13.26 (21190) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 12.84/13.26 (21191) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 12.84/13.26 (21192) {G0,W3,D2,L1,V0,M1} { gt( n999, n1 ) }.
% 12.84/13.26 (21193) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 12.84/13.26 (21194) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 12.84/13.26 (21195) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 12.84/13.26 (21196) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 12.84/13.26 (21197) {G0,W3,D2,L1,V0,M1} { gt( n999, n2 ) }.
% 12.84/13.26 (21198) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 12.84/13.26 (21199) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 12.84/13.26 (21200) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 12.84/13.26 (21201) {G0,W3,D2,L1,V0,M1} { gt( n999, n3 ) }.
% 12.84/13.26 (21202) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 12.84/13.26 n1, X = n2, X = n3, X = n4 }.
% 12.84/13.26 (21203) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 12.84/13.26 n1, X = n2, X = n3, X = n4, X = n5 }.
% 12.84/13.26 (21204) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 12.84/13.26 (21205) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 12.84/13.26 n1 }.
% 12.84/13.26 (21206) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 12.84/13.26 n1, X = n2 }.
% 12.84/13.26 (21207) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 12.84/13.26 n1, X = n2, X = n3 }.
% 12.84/13.26 (21208) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 12.84/13.26 (21209) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 12.84/13.26 n5 }.
% 12.84/13.26 (21210) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 12.84/13.26 (21211) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 12.84/13.26 (21212) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 12.84/13.26
% 12.84/13.26
% 12.84/13.26 Total Proof:
% 12.84/13.26
% 12.84/13.26 subsumption: (137) {G0,W6,D3,L1,V1,M1} I { plus( n1, X ) ==> succ( X ) }.
% 12.84/13.26 parent0: (21086) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 12.84/13.26 substitution0:
% 12.84/13.26 X := X
% 12.84/13.26 end
% 12.84/13.26 permutation0:
% 12.84/13.26 0 ==> 0
% 12.84/13.26 end
% 12.84/13.26
% 12.84/13.26 subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 12.84/13.26 parent0: (21095) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 12.84/13.26 substitution0:
% 12.84/13.26 X := X
% 12.84/13.26 end
% 12.84/13.26 permutation0:
% 12.84/13.26 0 ==> 0
% 12.84/13.26 end
% 12.84/13.26
% 12.84/13.26 subsumption: (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 12.84/13.26 parent0: (21096) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 12.84/13.26 substitution0:
% 12.84/13.26 X := X
% 12.84/13.26 end
% 12.84/13.26 permutation0:
% 12.84/13.26 0 ==> 0
% 12.84/13.26 end
% 12.84/13.26
% 12.84/13.26 subsumption: (171) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n0 ) ==>
% 12.84/13.26 use }.
% 12.84/13.26 parent0: (21120) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n0 ) = use
% 12.84/13.26 }.
% 12.84/13.26 substitution0:
% 12.84/13.26 end
% 12.84/13.26 permutation0:
% 12.84/13.26 0 ==> 0
% 12.84/13.26 end
% 12.84/13.26
% 12.84/13.26 subsumption: (172) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n1 ) ==>
% 12.84/13.26 use }.
% 12.84/13.26 parent0: (21121) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n1 ) = use
% 12.84/13.26 }.
% 12.84/13.26 substitution0:
% 12.84/13.26 end
% 12.84/13.26 permutation0:
% 12.84/13.26 0 ==> 0
% 12.84/13.26 end
% 12.84/13.26
% 12.84/13.26 subsumption: (173) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n2 ) ==>
% 12.84/13.26 use }.
% 12.84/13.26 parent0: (21122) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n2 ) = use
% 12.84/13.26 }.
% 12.84/13.26 substitution0:
% 12.84/13.26 end
% 12.84/13.26 permutation0:
% 12.84/13.26 0 ==> 0
% 12.84/13.26 end
% 12.84/13.26
% 12.84/13.26 subsumption: (174) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n0 )
% 12.84/13.26 ==> use }.
% 12.84/13.26 parent0: (21123) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n0 ) = use
% 12.84/13.26 }.
% 12.84/13.26 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (175) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n1 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21124) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n1 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (176) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n2 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21125) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n2 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (177) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n3 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21126) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n3 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (178) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n4 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21127) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n4 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (179) {G0,W5,D3,L1,V0,M1} I { a_select2( sigma_defuse, n5 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21128) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n5 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 *** allocated 1297440 integers for termspace/termends
% 12.96/13.33 subsumption: (180) {G0,W6,D3,L1,V0,M1} I { a_select3( u_defuse, n0, n0 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21129) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n0, n0 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (181) {G0,W6,D3,L1,V0,M1} I { a_select3( u_defuse, n1, n0 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21130) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n1, n0 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (182) {G0,W6,D3,L1,V0,M1} I { a_select3( u_defuse, n2, n0 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21131) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n2, n0 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (183) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_defuse, n3 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21132) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n3 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (184) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_defuse, n4 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21133) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n4 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (185) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_defuse, n5 )
% 12.96/13.33 ==> use }.
% 12.96/13.33 parent0: (21134) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n5 ) = use
% 12.96/13.33 }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (186) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n0
% 12.96/13.33 ) ==> use }.
% 12.96/13.33 parent0: (21135) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n0 )
% 12.96/13.33 = use }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (187) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n1
% 12.96/13.33 ) ==> use }.
% 12.96/13.33 parent0: (21136) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n1 )
% 12.96/13.33 = use }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (188) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n2
% 12.96/13.33 ) ==> use }.
% 12.96/13.33 parent0: (21137) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n2 )
% 12.96/13.33 = use }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (189) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n3
% 12.96/13.33 ) ==> use }.
% 12.96/13.33 parent0: (21138) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n3 )
% 12.96/13.33 = use }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (190) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n4
% 12.96/13.33 ) ==> use }.
% 12.96/13.33 parent0: (21139) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n4 )
% 12.96/13.33 = use }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (191) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_mean_defuse, n5
% 12.96/13.33 ) ==> use }.
% 12.96/13.33 parent0: (21140) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n5 )
% 12.96/13.33 = use }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.33
% 12.96/13.33 subsumption: (192) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse,
% 12.96/13.33 n0 ) ==> use }.
% 12.96/13.33 parent0: (21141) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n0 )
% 12.96/13.33 = use }.
% 12.96/13.33 substitution0:
% 12.96/13.33 end
% 12.96/13.33 permutation0:
% 12.96/13.33 0 ==> 0
% 12.96/13.33 end
% 12.96/13.36
% 12.96/13.36 subsumption: (193) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse,
% 12.96/13.36 n1 ) ==> use }.
% 12.96/13.36 parent0: (21142) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n1 )
% 12.96/13.36 = use }.
% 12.96/13.36 substitution0:
% 12.96/13.36 end
% 12.96/13.36 permutation0:
% 12.96/13.36 0 ==> 0
% 12.96/13.36 end
% 12.96/13.36
% 12.96/13.36 subsumption: (194) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse,
% 12.96/13.36 n2 ) ==> use }.
% 12.96/13.36 parent0: (21143) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n2 )
% 12.96/13.36 = use }.
% 12.96/13.36 substitution0:
% 12.96/13.36 end
% 12.96/13.36 permutation0:
% 12.96/13.36 0 ==> 0
% 12.96/13.36 end
% 12.96/13.36
% 12.96/13.36 subsumption: (195) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse,
% 12.96/13.36 n3 ) ==> use }.
% 12.96/13.36 parent0: (21144) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n3 )
% 12.96/13.36 = use }.
% 12.96/13.36 substitution0:
% 12.96/13.36 end
% 12.96/13.36 permutation0:
% 12.96/13.36 0 ==> 0
% 12.96/13.36 end
% 12.96/13.36
% 12.96/13.36 subsumption: (196) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse,
% 12.96/13.36 n4 ) ==> use }.
% 12.96/13.36 parent0: (21145) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n4 )
% 12.96/13.36 = use }.
% 12.96/13.36 substitution0:
% 12.96/13.36 end
% 12.96/13.36 permutation0:
% 12.96/13.36 0 ==> 0
% 12.96/13.36 end
% 12.96/13.36
% 12.96/13.36 subsumption: (197) {G0,W5,D3,L1,V0,M1} I { a_select2( xinit_noise_defuse,
% 12.96/13.36 n5 ) ==> use }.
% 12.96/13.36 parent0: (21146) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n5 )
% 12.96/13.36 = use }.
% 12.96/13.36 substitution0:
% 12.96/13.36 end
% 12.96/13.36 permutation0:
% 12.96/13.36 0 ==> 0
% 12.96/13.36 end
% 12.96/13.36
% 12.96/13.36 *** allocated 1946160 integers for clauses
% 12.96/13.36 subsumption: (200) {G0,W1,D1,L1,V0,M1} I { alpha10 }.
% 12.96/13.36 parent0: (21149) {G0,W1,D1,L1,V0,M1} { alpha10 }.
% 12.96/13.36 substitution0:
% 12.96/13.36 end
% 12.96/13.36 permutation0:
% 12.96/13.36 0 ==> 0
% 12.96/13.36 end
% 12.96/13.36
% 12.96/13.36
% 12.96/13.36 ==> (202) {G1,W3,D2,L1,V0,M1} I;d(171);d(172);d(173);d(174);d(175);d(176);d
% 12.96/13.36 (177);d(178);d(179);d(180);d(181);d(182);d(183);d(184);d(185);d(186);d(
% 12.96/13.36 187);d(188);d(189);d(190);d(191);d(192);d(193);d(194);d(195);d(196);d(197
% 12.96/13.36 );q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q { alpha32( skol15
% 12.96/13.36 , skol30 ) }.
% 12.96/13.36
% 12.96/13.36
% 12.96/13.36
% 12.96/13.36 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 12.96/13.36
% 12.96/13.36 Bliksem ended
%------------------------------------------------------------------------------