%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV195+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 16:22:53 EDT 2022
% Result : Theorem 0.83s 1.38s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV195+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Wed Jun 15 09:27:25 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.83/1.22 *** allocated 10000 integers for termspace/termends
% 0.83/1.22 *** allocated 10000 integers for clauses
% 0.83/1.22 *** allocated 10000 integers for justifications
% 0.83/1.22 Bliksem 1.12
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Automatic Strategy Selection
% 0.83/1.22
% 0.83/1.22 *** allocated 15000 integers for termspace/termends
% 0.83/1.22
% 0.83/1.22 Clauses:
% 0.83/1.22
% 0.83/1.22 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.83/1.22 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.83/1.22 { ! gt( X, X ) }.
% 0.83/1.22 { leq( X, X ) }.
% 0.83/1.22 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.83/1.22 { ! lt( X, Y ), gt( Y, X ) }.
% 0.83/1.22 { ! gt( Y, X ), lt( X, Y ) }.
% 0.83/1.22 { ! geq( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( Y, X ), geq( X, Y ) }.
% 0.83/1.22 { ! gt( Y, X ), leq( X, Y ) }.
% 0.83/1.22 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.83/1.22 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.83/1.22 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.83/1.22 { gt( succ( X ), X ) }.
% 0.83/1.22 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.83/1.22 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.83/1.22 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.83/1.22 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.83/1.22 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.83/1.22 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.83/1.22 T ), X ) = T }.
% 0.83/1.22 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.83/1.22 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.83/1.22 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.22 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.83/1.22 a_select3( trans( X ), T, Z ) }.
% 0.83/1.22 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.83/1.22 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.22 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.83/1.22 ) }.
% 0.83/1.22 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.83/1.22 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.83/1.22 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.83/1.22 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.22 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.83/1.22 a_select3( inv( X ), T, Z ) }.
% 0.83/1.22 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.83/1.22 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.22 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.83/1.22 .
% 0.83/1.22 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.83/1.22 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.83/1.22 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.83/1.22 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.22 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.83/1.22 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.83/1.22 X, U, U, W ), T, Z ) }.
% 0.83/1.22 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.83/1.22 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.22 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.83/1.22 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.83/1.22 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.83/1.22 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.83/1.22 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.83/1.22 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.83/1.22 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.83/1.22 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.83/1.22 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.83/1.22 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.83/1.22 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.83/1.22 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.83/1.22 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.83/1.22 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.83/1.22 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.83/1.22 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.83/1.22 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.83/1.22 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.83/1.22 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.83/1.22 ( X, Y ) }.
% 0.83/1.22 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.83/1.22 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.83/1.22 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.83/1.22 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.83/1.22 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.83/1.22 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.83/1.22 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.83/1.22 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.83/1.22 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.83/1.22 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.83/1.22 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.83/1.22 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.83/1.22 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.83/1.22 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.83/1.22 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.83/1.22 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.83/1.22 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.83/1.22 ( X, Y ) }.
% 0.83/1.22 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.83/1.22 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.83/1.22 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.83/1.22 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.22 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.83/1.22 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.83/1.22 U ) ) ), T, Z ) }.
% 0.83/1.22 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.83/1.22 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.22 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.83/1.22 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.83/1.22 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.83/1.22 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.83/1.22 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.83/1.22 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.83/1.22 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.83/1.22 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.83/1.22 W ) ) ), T, Z ) }.
% 0.83/1.22 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.83/1.22 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.83/1.22 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.83/1.22 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.83/1.22 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.83/1.22 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.83/1.22 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.83/1.22 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.83/1.22 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.83/1.22 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.83/1.22 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.83/1.22 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.83/1.22 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.83/1.22 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.83/1.22 ) }.
% 0.83/1.22 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.83/1.22 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.83/1.22 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.83/1.22 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.83/1.22 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.83/1.22 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.83/1.22 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.83/1.22 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.83/1.22 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.83/1.22 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.83/1.22 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.83/1.22 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.83/1.22 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.83/1.22 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.83/1.22 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.83/1.22 alpha19( X, Y ) }.
% 0.83/1.22 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.83/1.22 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.83/1.22 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.83/1.22 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.83/1.22 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.83/1.22 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.83/1.22 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.83/1.22 ), alpha8( X ) }.
% 0.83/1.22 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.83/1.22 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.22 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.22 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.83/1.22 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.83/1.22 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.83/1.22 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.83/1.22 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.83/1.22 { succ( tptp_minus_1 ) = n0 }.
% 0.83/1.22 { plus( X, n1 ) = succ( X ) }.
% 0.83/1.22 { plus( n1, X ) = succ( X ) }.
% 0.83/1.22 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.83/1.22 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.83/1.22 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.22 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.22 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.83/1.22 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.83/1.22 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.83/1.22 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.83/1.22 { minus( X, n1 ) = pred( X ) }.
% 0.83/1.22 { pred( succ( X ) ) = X }.
% 0.83/1.22 { succ( pred( X ) ) = X }.
% 0.83/1.22 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.83/1.22 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.83/1.22 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.83/1.22 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.83/1.22 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.83/1.22 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.83/1.22 , Y, V0 ), Z, T ) = W }.
% 0.83/1.22 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.83/1.22 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.83/1.22 }.
% 0.83/1.22 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.83/1.22 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.83/1.22 U, Z, T, W ), X, Y ) = W }.
% 0.83/1.22 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.83/1.22 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.83/1.22 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.22 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.83/1.22 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.83/1.22 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.83/1.22 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.83/1.22 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.83/1.22 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.83/1.22 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.83/1.22 T }.
% 0.83/1.22 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.83/1.22 tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.22 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.83/1.22 tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.22 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.83/1.22 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.22 { true }.
% 0.83/1.22 { ! def = use }.
% 0.83/1.22 { a_select2( rho_defuse, n0 ) = use }.
% 0.83/1.22 { a_select2( rho_defuse, n1 ) = use }.
% 0.83/1.22 { a_select2( rho_defuse, n2 ) = use }.
% 0.83/1.22 { a_select2( sigma_defuse, n0 ) = use }.
% 0.83/1.22 { a_select2( sigma_defuse, n1 ) = use }.
% 0.83/1.22 { a_select2( sigma_defuse, n2 ) = use }.
% 0.83/1.22 { a_select2( sigma_defuse, n3 ) = use }.
% 0.83/1.22 { a_select2( sigma_defuse, n4 ) = use }.
% 0.83/1.22 { a_select2( sigma_defuse, n5 ) = use }.
% 0.83/1.22 { a_select3( u_defuse, n0, n0 ) = use }.
% 0.83/1.22 { a_select3( u_defuse, n1, n0 ) = use }.
% 0.83/1.22 { a_select3( u_defuse, n2, n0 ) = use }.
% 0.83/1.22 { a_select2( xinit_defuse, n3 ) = use }.
% 0.83/1.22 { a_select2( xinit_defuse, n4 ) = use }.
% 0.83/1.22 { a_select2( xinit_defuse, n5 ) = use }.
% 0.83/1.22 { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.83/1.22 { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.83/1.22 { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.83/1.22 { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.83/1.22 { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.83/1.22 { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.83/1.22 { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.83/1.22 { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.83/1.22 { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.83/1.22 { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.83/1.22 { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.83/1.22 { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.83/1.22 { leq( n0, pv5 ) }.
% 0.83/1.22 { leq( pv5, n0 ) }.
% 0.83/1.22 { leq( pv5, n998 ) }.
% 0.83/1.22 { gt( pv5, n0 ) }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, pred( pv5 ) ),
% 0.83/1.22 a_select3( u_defuse, X, Y ) = use }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, pred( pv5 ) ),
% 0.83/1.22 a_select3( z_defuse, X, Y ) = use }.
% 0.83/1.22 { leq( n0, skol15 ) }.
% 0.83/1.22 { leq( n0, skol29 ) }.
% 0.83/1.22 { leq( skol15, n2 ) }.
% 0.83/1.22 { leq( skol29, pv5 ) }.
% 0.83/1.22 { ! n0 = skol15, ! pv5 = skol29 }.
% 0.83/1.22 { ! n1 = skol15, ! pv5 = skol29 }.
% 0.83/1.22 { ! n2 = skol15, ! pv5 = skol29 }.
% 0.83/1.22 { ! a_select3( u_defuse, skol15, skol29 ) = use }.
% 0.83/1.22 { gt( n5, n4 ) }.
% 0.83/1.22 { gt( n998, n4 ) }.
% 0.83/1.22 { gt( n998, n5 ) }.
% 0.83/1.22 { gt( n4, tptp_minus_1 ) }.
% 0.83/1.22 { gt( n5, tptp_minus_1 ) }.
% 0.83/1.22 { gt( n998, tptp_minus_1 ) }.
% 0.83/1.22 { gt( n0, tptp_minus_1 ) }.
% 0.83/1.22 { gt( n1, tptp_minus_1 ) }.
% 0.83/1.22 { gt( n2, tptp_minus_1 ) }.
% 0.83/1.22 { gt( n3, tptp_minus_1 ) }.
% 0.83/1.22 { gt( n4, n0 ) }.
% 0.83/1.22 { gt( n5, n0 ) }.
% 0.83/1.22 { gt( n998, n0 ) }.
% 0.83/1.22 { gt( n1, n0 ) }.
% 0.83/1.22 { gt( n2, n0 ) }.
% 0.83/1.22 { gt( n3, n0 ) }.
% 0.83/1.22 { gt( n4, n1 ) }.
% 0.83/1.22 { gt( n5, n1 ) }.
% 0.83/1.22 { gt( n998, n1 ) }.
% 0.83/1.22 { gt( n2, n1 ) }.
% 0.83/1.22 { gt( n3, n1 ) }.
% 0.83/1.22 { gt( n4, n2 ) }.
% 0.83/1.22 { gt( n5, n2 ) }.
% 0.83/1.22 { gt( n998, n2 ) }.
% 0.83/1.22 { gt( n3, n2 ) }.
% 0.83/1.22 { gt( n4, n3 ) }.
% 0.83/1.22 { gt( n5, n3 ) }.
% 0.83/1.22 { gt( n998, n3 ) }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.83/1.22 .
% 0.83/1.22 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.83/1.22 = n5 }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.83/1.22 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.83/1.22 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.83/1.22 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.83/1.22 { succ( n0 ) = n1 }.
% 0.83/1.22 { succ( succ( n0 ) ) = n2 }.
% 0.83/1.22 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.83/1.22
% 0.83/1.22 *** allocated 15000 integers for clauses
% 0.83/1.22 percentage equality = 0.226027, percentage horn = 0.888446
% 0.83/1.22 This is a problem with some equality
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Options Used:
% 0.83/1.22
% 0.83/1.22 useres = 1
% 0.83/1.22 useparamod = 1
% 0.83/1.22 useeqrefl = 1
% 0.83/1.22 useeqfact = 1
% 0.83/1.22 usefactor = 1
% 0.83/1.22 usesimpsplitting = 0
% 0.83/1.22 usesimpdemod = 5
% 0.83/1.22 usesimpres = 3
% 0.83/1.22
% 0.83/1.22 resimpinuse = 1000
% 0.83/1.22 resimpclauses = 20000
% 0.83/1.22 substype = eqrewr
% 0.83/1.22 backwardsubs = 1
% 0.83/1.22 selectoldest = 5
% 0.83/1.22
% 0.83/1.22 litorderings [0] = split
% 0.83/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.38
% 0.83/1.38 termordering = kbo
% 0.83/1.38
% 0.83/1.38 litapriori = 0
% 0.83/1.38 termapriori = 1
% 0.83/1.38 litaposteriori = 0
% 0.83/1.38 termaposteriori = 0
% 0.83/1.38 demodaposteriori = 0
% 0.83/1.38 ordereqreflfact = 0
% 0.83/1.38
% 0.83/1.38 litselect = negord
% 0.83/1.38
% 0.83/1.38 maxweight = 15
% 0.83/1.38 maxdepth = 30000
% 0.83/1.38 maxlength = 115
% 0.83/1.38 maxnrvars = 195
% 0.83/1.38 excuselevel = 1
% 0.83/1.38 increasemaxweight = 1
% 0.83/1.38
% 0.83/1.38 maxselected = 10000000
% 0.83/1.38 maxnrclauses = 10000000
% 0.83/1.38
% 0.83/1.38 showgenerated = 0
% 0.83/1.38 showkept = 0
% 0.83/1.38 showselected = 0
% 0.83/1.38 showdeleted = 0
% 0.83/1.38 showresimp = 1
% 0.83/1.38 showstatus = 2000
% 0.83/1.38
% 0.83/1.38 prologoutput = 0
% 0.83/1.38 nrgoals = 5000000
% 0.83/1.38 totalproof = 1
% 0.83/1.38
% 0.83/1.38 Symbols occurring in the translation:
% 0.83/1.38
% 0.83/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.38 . [1, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.83/1.38 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 0.83/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.38 gt [37, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.83/1.38 leq [39, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.83/1.38 lt [40, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.83/1.38 geq [41, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.83/1.38 pred [42, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.83/1.38 succ [43, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.83/1.38 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.83/1.38 uniform_int_rnd [46, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.83/1.38 dim [51, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.83/1.38 tptp_const_array1 [52, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.83/1.38 a_select2 [53, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.83/1.38 tptp_const_array2 [59, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.83/1.38 a_select3 [60, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.83/1.38 trans [63, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.83/1.38 inv [64, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.83/1.38 tptp_update3 [67, 4] (w:1, o:163, a:1, s:1, b:0),
% 0.83/1.38 tptp_madd [69, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.83/1.38 tptp_msub [70, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.83/1.38 tptp_mmul [71, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.83/1.38 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.83/1.38 sum [78, 3] (w:1, o:143, a:1, s:1, b:0),
% 0.83/1.38 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.83/1.38 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.83/1.38 plus [81, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.83/1.38 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.83/1.38 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.83/1.38 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.83/1.38 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.83/1.38 minus [86, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.83/1.38 tptp_update2 [91, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.83/1.38 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.83/1.38 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.83/1.38 use [94, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.83/1.38 rho_defuse [95, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.83/1.38 sigma_defuse [96, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.83/1.38 u_defuse [97, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.83/1.38 xinit_defuse [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.83/1.38 xinit_mean_defuse [99, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.83/1.38 xinit_noise_defuse [100, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.83/1.38 pv5 [101, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.83/1.38 n998 [102, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.83/1.38 z_defuse [103, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.83/1.38 alpha1 [104, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.83/1.38 alpha2 [105, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.83/1.38 alpha3 [106, 2] (w:1, o:137, a:1, s:1, b:1),
% 0.83/1.38 alpha4 [107, 2] (w:1, o:138, a:1, s:1, b:1),
% 0.83/1.38 alpha5 [108, 2] (w:1, o:139, a:1, s:1, b:1),
% 0.83/1.38 alpha6 [109, 2] (w:1, o:140, a:1, s:1, b:1),
% 0.83/1.38 alpha7 [110, 2] (w:1, o:141, a:1, s:1, b:1),
% 0.83/1.38 alpha8 [111, 1] (w:1, o:65, a:1, s:1, b:1),
% 0.83/1.38 alpha9 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 0.83/1.38 alpha10 [113, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.83/1.38 alpha11 [114, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.83/1.38 alpha12 [115, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.83/1.38 alpha13 [116, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.83/1.38 alpha14 [117, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.83/1.38 alpha15 [118, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.83/1.38 alpha16 [119, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.83/1.38 alpha17 [120, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.83/1.38 alpha18 [121, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.83/1.38 alpha19 [122, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.83/1.38 alpha20 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.83/1.38 alpha21 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.83/1.38 alpha22 [125, 3] (w:1, o:154, a:1, s:1, b:1),
% 0.83/1.38 alpha23 [126, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.83/1.38 alpha24 [127, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.83/1.38 alpha25 [128, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.83/1.38 alpha26 [129, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.83/1.38 alpha27 [130, 2] (w:1, o:136, a:1, s:1, b:1),
% 0.83/1.38 alpha28 [131, 3] (w:1, o:158, a:1, s:1, b:1),
% 0.83/1.38 alpha29 [132, 3] (w:1, o:159, a:1, s:1, b:1),
% 0.83/1.38 alpha30 [133, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.83/1.38 skol1 [134, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.83/1.38 skol2 [135, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.83/1.38 skol3 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.83/1.38 skol4 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.83/1.38 skol5 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.83/1.38 skol6 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.83/1.38 skol7 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.83/1.38 skol8 [141, 2] (w:1, o:116, a:1, s:1, b:1),
% 0.83/1.38 skol9 [142, 2] (w:1, o:117, a:1, s:1, b:1),
% 0.83/1.38 skol10 [143, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.83/1.38 skol11 [144, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.83/1.38 skol12 [145, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.83/1.38 skol13 [146, 4] (w:1, o:161, a:1, s:1, b:1),
% 0.83/1.38 skol14 [147, 3] (w:1, o:144, a:1, s:1, b:1),
% 0.83/1.38 skol15 [148, 0] (w:1, o:33, a:1, s:1, b:1),
% 0.83/1.38 skol16 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.83/1.38 skol17 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.83/1.38 skol18 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.83/1.38 skol19 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.83/1.38 skol20 [153, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.83/1.38 skol21 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.83/1.38 skol22 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.83/1.38 skol23 [156, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.83/1.38 skol24 [157, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.83/1.38 skol25 [158, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.83/1.38 skol26 [159, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.83/1.38 skol27 [160, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.83/1.38 skol28 [161, 4] (w:1, o:162, a:1, s:1, b:1),
% 0.83/1.38 skol29 [162, 0] (w:1, o:34, a:1, s:1, b:1),
% 0.83/1.38 skol30 [163, 1] (w:1, o:62, a:1, s:1, b:1).
% 0.83/1.38
% 0.83/1.38
% 0.83/1.38 Starting Search:
% 0.83/1.38
% 0.83/1.38 *** allocated 22500 integers for clauses
% 0.83/1.38 *** allocated 33750 integers for clauses
% 0.83/1.38 *** allocated 22500 integers for termspace/termends
% 0.83/1.38 *** allocated 50625 integers for clauses
% 0.83/1.38 *** allocated 75937 integers for clauses
% 0.83/1.38 Resimplifying inuse:
% 0.83/1.38 Done
% 0.83/1.38
% 0.83/1.38 *** allocated 33750 integers for termspace/termends
% 0.83/1.38 *** allocated 113905 integers for clauses
% 0.83/1.38 *** allocated 50625 integers for termspace/termends
% 0.83/1.38
% 0.83/1.38 Intermediate Status:
% 0.83/1.38 Generated: 7910
% 0.83/1.38 Kept: 2005
% 0.83/1.38 Inuse: 170
% 0.83/1.38 Deleted: 0
% 0.83/1.38 Deletedinuse: 0
% 0.83/1.38
% 0.83/1.38 Resimplifying inuse:
% 0.83/1.38 Done
% 0.83/1.38
% 0.83/1.38 *** allocated 170857 integers for clauses
% 0.83/1.38 *** allocated 75937 integers for termspace/termends
% 0.83/1.38
% 0.83/1.38 Bliksems!, er is een bewijs:
% 0.83/1.38 % SZS status Theorem
% 0.83/1.38 % SZS output start Refutation
% 0.83/1.38
% 0.83/1.38 (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.83/1.38 (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.83/1.38 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 0.83/1.38 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.83/1.38 (199) {G0,W3,D2,L1,V0,M1} I { leq( pv5, n0 ) }.
% 0.83/1.38 (201) {G0,W3,D2,L1,V0,M1} I { gt( pv5, n0 ) }.
% 0.83/1.38 (2757) {G1,W6,D2,L2,V1,M2} R(201,1) { ! gt( X, pv5 ), gt( X, n0 ) }.
% 0.83/1.38 (2758) {G2,W6,D2,L2,V1,M2} P(10,201);r(2757) { gt( X, n0 ), ! leq( pv5, X )
% 0.83/1.38 }.
% 0.83/1.38 (2925) {G3,W6,D2,L2,V1,M2} P(0,199);r(2758) { gt( n0, X ), gt( X, n0 ) }.
% 0.83/1.38 (2926) {G4,W0,D0,L0,V0,M0} F(2925);r(2) { }.
% 0.83/1.38
% 0.83/1.38
% 0.83/1.38 % SZS output end Refutation
% 0.83/1.38 found a proof!
% 0.83/1.38
% 0.83/1.38
% 0.83/1.38 Unprocessed initial clauses:
% 0.83/1.38
% 0.83/1.38 (2928) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.83/1.38 (2929) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.83/1.38 (2930) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.83/1.38 (2931) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.83/1.38 (2932) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.83/1.38 (2933) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.83/1.38 (2934) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.83/1.38 (2935) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (2936) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.83/1.38 (2937) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.83/1.38 (2938) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.83/1.38 (2939) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.83/1.38 (2940) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.83/1.38 (2941) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.83/1.38 (2942) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.83/1.38 (2943) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.83/1.38 (2944) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.83/1.38 (2945) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 0.83/1.38 , X ) }.
% 0.83/1.38 (2946) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y,
% 0.83/1.38 X ) ) }.
% 0.83/1.38 (2947) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.83/1.38 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.83/1.38 (2948) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 0.83/1.38 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 0.83/1.38 V0 ), X, T ) = V0 }.
% 0.83/1.38 (2949) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 0.83/1.38 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.83/1.38 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.83/1.38 (2950) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 0.83/1.38 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.38 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 0.83/1.38 = a_select3( trans( X ), T, Z ) }.
% 0.83/1.38 (2951) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.83/1.38 (2952) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (2953) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (2954) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.38 X ), alpha10( X, Y, Z ) }.
% 0.83/1.38 (2955) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (2956) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (2957) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.83/1.38 }.
% 0.83/1.38 (2958) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 0.83/1.38 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.83/1.38 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.83/1.38 (2959) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 0.83/1.38 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.38 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.83/1.38 a_select3( inv( X ), T, Z ) }.
% 0.83/1.38 (2960) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.83/1.38 (2961) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (2962) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (2963) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.38 X ), alpha11( X, Y, Z ) }.
% 0.83/1.38 (2964) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (2965) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (2966) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.83/1.38 }.
% 0.83/1.38 (2967) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 0.83/1.38 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 0.83/1.38 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.83/1.38 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.83/1.38 (2968) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 0.83/1.38 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.38 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 0.83/1.38 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 0.83/1.38 ( X, U, U, W ), T, Z ) }.
% 0.83/1.38 (2969) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.83/1.38 (2970) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (2971) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (2972) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.38 X ), alpha12( X, Y, Z ) }.
% 0.83/1.38 (2973) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (2974) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (2975) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.83/1.38 }.
% 0.83/1.38 (2976) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.83/1.38 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.83/1.38 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.83/1.38 ), U, T ) }.
% 0.83/1.38 (2977) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 0.83/1.38 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 0.83/1.38 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.83/1.38 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.83/1.38 (2978) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.83/1.38 (2979) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (2980) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (2981) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.38 , X ), alpha22( X, Y, Z ) }.
% 0.83/1.38 (2982) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (2983) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (2984) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (2985) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 0.83/1.38 , skol20( X, Y ) ) }.
% 0.83/1.38 (2986) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X,
% 0.83/1.38 Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.83/1.38 (2987) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.83/1.38 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.83/1.38 (2988) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.83/1.38 (2989) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (2990) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (2991) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.38 , X ), alpha23( X, Y, Z ) }.
% 0.83/1.38 (2992) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (2993) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (2994) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (2995) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.83/1.38 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.83/1.38 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.83/1.38 ), U, T ) }.
% 0.83/1.38 (2996) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 0.83/1.38 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 0.83/1.38 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.83/1.38 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.83/1.38 (2997) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.83/1.38 (2998) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (2999) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (3000) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.38 , X ), alpha24( X, Y, Z ) }.
% 0.83/1.38 (3001) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3002) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (3003) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (3004) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 0.83/1.38 , skol22( X, Y ) ) }.
% 0.83/1.38 (3005) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X,
% 0.83/1.38 Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.83/1.38 (3006) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.83/1.38 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.83/1.38 (3007) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.83/1.38 (3008) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (3009) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (3010) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.38 , X ), alpha25( X, Y, Z ) }.
% 0.83/1.38 (3011) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3012) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (3013) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (3014) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 0.83/1.38 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.83/1.38 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 0.83/1.38 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.83/1.38 (3015) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 0.83/1.38 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.38 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.83/1.38 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.83/1.38 ( X, trans( U ) ) ), T, Z ) }.
% 0.83/1.38 (3016) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.83/1.38 (3017) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (3018) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (3019) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.38 X ), alpha17( X, Y, Z ) }.
% 0.83/1.38 (3020) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3021) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (3022) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.83/1.38 }.
% 0.83/1.38 (3023) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 0.83/1.38 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 0.83/1.38 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 0.83/1.38 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.83/1.38 (3024) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 0.83/1.38 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.38 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.83/1.38 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.83/1.38 ( X, trans( W ) ) ), T, Z ) }.
% 0.83/1.38 (3025) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.83/1.38 (3026) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (3027) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (3028) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.38 X ), alpha18( X, Y, Z ) }.
% 0.83/1.38 (3029) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3030) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (3031) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.83/1.38 }.
% 0.83/1.38 (3032) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.83/1.38 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.83/1.38 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.83/1.38 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.83/1.38 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.83/1.38 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.83/1.38 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.83/1.38 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.83/1.38 (3033) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3(
% 0.83/1.38 Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 0.83/1.38 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 0.83/1.38 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 0.83/1.38 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 0.83/1.38 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 0.83/1.38 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 0.83/1.38 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 0.83/1.38 ) ), W, U ) }.
% 0.83/1.38 (3034) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.83/1.38 (3035) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (3036) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (3037) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.38 , X ), alpha29( X, Y, Z ) }.
% 0.83/1.38 (3038) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3039) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (3040) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (3041) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 0.83/1.38 ), skol26( X, Y ) ) }.
% 0.83/1.38 (3042) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.83/1.38 , Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 0.83/1.38 }.
% 0.83/1.38 (3043) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.83/1.38 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.83/1.38 (3044) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.83/1.38 (3045) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (3046) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (3047) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.38 , X ), alpha30( X, Y, Z ) }.
% 0.83/1.38 (3048) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3049) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (3050) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (3051) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.83/1.38 skol27( X, Y ) ) }.
% 0.83/1.38 (3052) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 0.83/1.38 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.83/1.38 (3053) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3( X
% 0.83/1.38 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.83/1.38 (3054) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.83/1.38 (3055) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.38 (3056) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.38 (3057) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.38 , X ), alpha28( X, Y, Z ) }.
% 0.83/1.38 (3058) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3059) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.83/1.38 (3060) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (3061) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.83/1.38 (3062) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.83/1.38 }.
% 0.83/1.38 (3063) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.83/1.38 (3064) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.83/1.38 (3065) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.83/1.38 (3066) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.83/1.38 (3067) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.83/1.38 (3068) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.38 (3069) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.38 (3070) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.83/1.38 ) ) }.
% 0.83/1.38 (3071) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.83/1.38 ) ) }.
% 0.83/1.38 (3072) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.83/1.38 ( X ) ) ) ) ) }.
% 0.83/1.38 (3073) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.83/1.38 ( X ) ) ) ) ) }.
% 0.83/1.38 (3074) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.83/1.38 (3075) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.83/1.38 (3076) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.83/1.38 (3077) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 0.83/1.38 }.
% 0.83/1.38 (3078) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 0.83/1.38 }.
% 0.83/1.38 (3079) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.83/1.38 (3080) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.83/1.38 (3081) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 0.83/1.38 ) = T }.
% 0.83/1.38 (3082) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.83/1.38 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.83/1.38 (3083) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0
% 0.83/1.38 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.83/1.38 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.38 (3084) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 0.83/1.38 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 0.83/1.38 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.38 (3085) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol28
% 0.83/1.38 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.83/1.38 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.38 (3086) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.83/1.38 (3087) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.83/1.38 (3088) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 0.83/1.38 , Y, Z ) }.
% 0.83/1.38 (3089) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.83/1.38 (3090) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.83/1.38 (3091) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 (3092) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.83/1.38 }.
% 0.83/1.38 (3093) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.83/1.38 tptp_update2( Z, X, U ), Y ) = T }.
% 0.83/1.38 (3094) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 0.83/1.38 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.38 (3095) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 0.83/1.38 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.38 (3096) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.83/1.38 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.83/1.38 }.
% 0.83/1.38 (3097) {G0,W1,D1,L1,V0,M1} { true }.
% 0.83/1.38 (3098) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.83/1.38 (3099) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n0 ) = use }.
% 0.83/1.38 (3100) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n1 ) = use }.
% 0.83/1.38 (3101) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n2 ) = use }.
% 0.83/1.38 (3102) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n0 ) = use }.
% 0.83/1.38 (3103) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n1 ) = use }.
% 0.83/1.38 (3104) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n2 ) = use }.
% 0.83/1.38 (3105) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n3 ) = use }.
% 0.83/1.38 (3106) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n4 ) = use }.
% 0.83/1.38 (3107) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n5 ) = use }.
% 0.83/1.38 (3108) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n0, n0 ) = use }.
% 0.83/1.38 (3109) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n1, n0 ) = use }.
% 0.83/1.38 (3110) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n2, n0 ) = use }.
% 0.83/1.38 (3111) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n3 ) = use }.
% 0.83/1.38 (3112) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n4 ) = use }.
% 0.83/1.38 (3113) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n5 ) = use }.
% 0.83/1.38 (3114) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.83/1.38 (3115) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.83/1.38 (3116) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.83/1.38 (3117) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.83/1.38 (3118) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.83/1.38 (3119) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.83/1.38 (3120) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.83/1.38 (3121) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.83/1.38 (3122) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.83/1.38 (3123) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.83/1.38 (3124) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.83/1.38 (3125) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.83/1.38 (3126) {G0,W3,D2,L1,V0,M1} { leq( n0, pv5 ) }.
% 0.83/1.38 (3127) {G0,W3,D2,L1,V0,M1} { leq( pv5, n0 ) }.
% 0.83/1.38 (3128) {G0,W3,D2,L1,V0,M1} { leq( pv5, n998 ) }.
% 0.83/1.38 (3129) {G0,W3,D2,L1,V0,M1} { gt( pv5, n0 ) }.
% 0.83/1.38 (3130) {G0,W19,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2
% 0.83/1.38 ), ! leq( Y, pred( pv5 ) ), a_select3( u_defuse, X, Y ) = use }.
% 0.83/1.38 (3131) {G0,W19,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2
% 0.83/1.38 ), ! leq( Y, pred( pv5 ) ), a_select3( z_defuse, X, Y ) = use }.
% 0.83/1.38 (3132) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 0.83/1.38 (3133) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 0.83/1.38 (3134) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 0.83/1.38 (3135) {G0,W3,D2,L1,V0,M1} { leq( skol29, pv5 ) }.
% 0.83/1.38 (3136) {G0,W6,D2,L2,V0,M2} { ! n0 = skol15, ! pv5 = skol29 }.
% 0.83/1.38 (3137) {G0,W6,D2,L2,V0,M2} { ! n1 = skol15, ! pv5 = skol29 }.
% 0.83/1.38 (3138) {G0,W6,D2,L2,V0,M2} { ! n2 = skol15, ! pv5 = skol29 }.
% 0.83/1.38 (3139) {G0,W6,D3,L1,V0,M1} { ! a_select3( u_defuse, skol15, skol29 ) = use
% 0.83/1.38 }.
% 0.83/1.38 (3140) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.83/1.38 (3141) {G0,W3,D2,L1,V0,M1} { gt( n998, n4 ) }.
% 0.83/1.38 (3142) {G0,W3,D2,L1,V0,M1} { gt( n998, n5 ) }.
% 0.83/1.38 (3143) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.83/1.38 (3144) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.83/1.38 (3145) {G0,W3,D2,L1,V0,M1} { gt( n998, tptp_minus_1 ) }.
% 0.83/1.38 (3146) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.83/1.38 (3147) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.83/1.38 (3148) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.83/1.38 (3149) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 19.57/19.96 (3150) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 19.57/19.96 (3151) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 19.57/19.96 (3152) {G0,W3,D2,L1,V0,M1} { gt( n998, n0 ) }.
% 19.57/19.96 (3153) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 19.57/19.96 (3154) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 19.57/19.96 (3155) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 19.57/19.96 (3156) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 19.57/19.96 (3157) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 19.57/19.96 (3158) {G0,W3,D2,L1,V0,M1} { gt( n998, n1 ) }.
% 19.57/19.96 (3159) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 19.57/19.96 (3160) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 19.57/19.96 (3161) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 19.57/19.96 (3162) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 19.57/19.96 (3163) {G0,W3,D2,L1,V0,M1} { gt( n998, n2 ) }.
% 19.57/19.96 (3164) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 19.57/19.96 (3165) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 19.57/19.96 (3166) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 19.57/19.96 (3167) {G0,W3,D2,L1,V0,M1} { gt( n998, n3 ) }.
% 19.57/19.96 (3168) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 19.57/19.96 n1, X = n2, X = n3, X = n4 }.
% 19.57/19.96 (3169) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 19.57/19.96 n1, X = n2, X = n3, X = n4, X = n5 }.
% 19.57/19.96 (3170) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 19.57/19.96 (3171) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 19.57/19.96 n1 }.
% 19.57/19.96 (3172) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 19.57/19.96 n1, X = n2 }.
% 19.57/19.96 (3173) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 19.57/19.96 n1, X = n2, X = n3 }.
% 19.57/19.96 (3174) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 19.57/19.96 (3175) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 19.57/19.96 n5 }.
% 19.57/19.96 (3176) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 19.57/19.96 (3177) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 19.57/19.96 (3178) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 19.57/19.96
% 19.57/19.96
% 19.57/19.96 Total Proof:
% 19.57/19.96
% 19.57/19.96 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 19.57/19.96 parent0: (2928) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 19.57/19.96 substitution0:
% 19.57/19.96 X := X
% 19.57/19.96 Y := Y
% 19.57/19.96 end
% 19.57/19.96 permutation0:
% 19.57/19.96 0 ==> 0
% 19.57/19.96 1 ==> 1
% 19.57/19.96 2 ==> 2
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 subsumption: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X
% 19.57/19.96 , Y ) }.
% 19.57/19.96 parent0: (2929) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y
% 19.57/19.96 ) }.
% 19.57/19.96 substitution0:
% 19.57/19.96 X := X
% 19.57/19.96 Y := Y
% 19.57/19.96 Z := Z
% 19.57/19.96 end
% 19.57/19.96 permutation0:
% 19.57/19.96 0 ==> 0
% 19.57/19.96 1 ==> 1
% 19.57/19.96 2 ==> 2
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 19.57/19.96 parent0: (2930) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 19.57/19.96 substitution0:
% 19.57/19.96 X := X
% 19.57/19.96 end
% 19.57/19.96 permutation0:
% 19.57/19.96 0 ==> 0
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 19.57/19.96 }.
% 19.57/19.96 parent0: (2938) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 19.57/19.96 substitution0:
% 19.57/19.96 X := X
% 19.57/19.96 Y := Y
% 19.57/19.96 end
% 19.57/19.96 permutation0:
% 19.57/19.96 0 ==> 0
% 19.57/19.96 1 ==> 1
% 19.57/19.96 2 ==> 2
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 *** allocated 113905 integers for termspace/termends
% 19.57/19.96 subsumption: (199) {G0,W3,D2,L1,V0,M1} I { leq( pv5, n0 ) }.
% 19.57/19.96 parent0: (3127) {G0,W3,D2,L1,V0,M1} { leq( pv5, n0 ) }.
% 19.57/19.96 substitution0:
% 19.57/19.96 end
% 19.57/19.96 permutation0:
% 19.57/19.96 0 ==> 0
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 *** allocated 256285 integers for clauses
% 19.57/19.96 subsumption: (201) {G0,W3,D2,L1,V0,M1} I { gt( pv5, n0 ) }.
% 19.57/19.96 parent0: (3129) {G0,W3,D2,L1,V0,M1} { gt( pv5, n0 ) }.
% 19.57/19.96 substitution0:
% 19.57/19.96 end
% 19.57/19.96 permutation0:
% 19.57/19.96 0 ==> 0
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 resolution: (4297) {G1,W6,D2,L2,V1,M2} { ! gt( X, pv5 ), gt( X, n0 ) }.
% 19.57/19.96 parent0[1]: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X,
% 19.57/19.96 Y ) }.
% 19.57/19.96 parent1[0]: (201) {G0,W3,D2,L1,V0,M1} I { gt( pv5, n0 ) }.
% 19.57/19.96 substitution0:
% 19.57/19.96 X := X
% 19.57/19.96 Y := n0
% 19.57/19.96 Z := pv5
% 19.57/19.96 end
% 19.57/19.96 substitution1:
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 subsumption: (2757) {G1,W6,D2,L2,V1,M2} R(201,1) { ! gt( X, pv5 ), gt( X,
% 19.57/19.96 n0 ) }.
% 19.57/19.96 parent0: (4297) {G1,W6,D2,L2,V1,M2} { ! gt( X, pv5 ), gt( X, n0 ) }.
% 19.57/19.96 substitution0:
% 19.57/19.96 X := X
% 19.57/19.96 end
% 19.57/19.96 permutation0:
% 19.57/19.96 0 ==> 0
% 19.57/19.96 1 ==> 1
% 19.57/19.96 end
% 19.57/19.96
% 19.57/19.96 *** allocated 170857 integers for termspace/termends
% 19.57/19.96 *** allocated 15000 integers for justifications
% 19.57/19.96 *** allocated 22500 integers for justifications
% 19.57/19.96 *** allocated 33750 integers for justifications
% 19.57/19.96 *** allocated 50625 integers for justifications
% 19.57/19.96 *** allocated 256285 integers for termspace/termends
% 19.57/19.96 *** allocated 75937 integers for justifications
% 19.57/19.96 *** allocated 384427 integers for clauses
% 19.57/19.96 *** allocated 113905 integers for justifications
% 19.57/19.96 *** allocated 384427 integers for termspCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------