TSTP Solution File: SWV124+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV124+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 16:22:35 EDT 2022
% Result : Timeout 300.05s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV124+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 15:04:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.15 *** allocated 10000 integers for termspace/termends
% 0.71/1.15 *** allocated 10000 integers for clauses
% 0.71/1.15 *** allocated 10000 integers for justifications
% 0.71/1.15 Bliksem 1.12
% 0.71/1.15
% 0.71/1.15
% 0.71/1.15 Automatic Strategy Selection
% 0.71/1.15
% 0.71/1.15 *** allocated 15000 integers for termspace/termends
% 0.71/1.15
% 0.71/1.15 Clauses:
% 0.71/1.15
% 0.71/1.15 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.71/1.15 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.71/1.15 { ! gt( X, X ) }.
% 0.71/1.15 { leq( X, X ) }.
% 0.71/1.15 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.71/1.15 { ! lt( X, Y ), gt( Y, X ) }.
% 0.71/1.15 { ! gt( Y, X ), lt( X, Y ) }.
% 0.71/1.15 { ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.15 { ! gt( Y, X ), leq( X, Y ) }.
% 0.71/1.15 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.71/1.15 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.71/1.15 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.71/1.15 { gt( succ( X ), X ) }.
% 0.71/1.15 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.71/1.15 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.71/1.15 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.71/1.15 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.71/1.15 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.71/1.15 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.71/1.15 T ), X ) = T }.
% 0.71/1.15 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.71/1.15 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.71/1.15 { alpha11( Y, skol1( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.15 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.71/1.15 a_select3( trans( X ), T, Z ) }.
% 0.71/1.15 { ! a_select3( X, skol1( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.71/1.15 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.15 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.71/1.15 ) }.
% 0.71/1.15 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.71/1.15 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.71/1.15 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.71/1.15 { alpha12( Y, skol2( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.15 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.71/1.15 a_select3( inv( X ), T, Z ) }.
% 0.71/1.15 { ! a_select3( X, skol2( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.71/1.15 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.15 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.71/1.15 .
% 0.71/1.15 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.71/1.15 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.71/1.15 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.71/1.15 { alpha13( Y, skol3( X, Y ), skol19( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.15 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.71/1.15 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.71/1.15 X, U, U, W ), T, Z ) }.
% 0.71/1.15 { ! a_select3( X, skol3( X, Y ), skol19( X, Y ) ) = a_select3( X, skol19( X
% 0.71/1.15 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.15 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.71/1.15 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.71/1.15 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.71/1.15 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.71/1.15 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.71/1.15 { alpha4( X, Z ), alpha25( Z, skol4( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.71/1.15 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.71/1.15 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.15 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol20( Y, Z ) ) =
% 0.71/1.15 a_select3( Y, skol20( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.15 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.71/1.15 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.15 { ! alpha25( X, Y, Z ), alpha14( X, Y ) }.
% 0.71/1.15 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.71/1.15 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.71/1.15 { ! alpha4( X, Y ), alpha26( Y, skol5( X, Y ), skol21( X, Y ) ) }.
% 0.71/1.15 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol21( X, Y ) ) =
% 0.71/1.15 a_select3( X, skol21( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.15 { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.71/1.15 ( X, Y ) }.
% 0.71/1.15 { ! alpha26( X, Y, Z ), alpha15( X, Y ) }.
% 0.71/1.15 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.71/1.15 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.71/1.15 { alpha5( X, Z ), alpha27( Z, skol6( Y, Z ), skol22( Y, Z ) ), ! leq( n0, T
% 0.71/1.15 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.71/1.15 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.15 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol22( Y, Z ) ) =
% 0.71/1.15 a_select3( Y, skol22( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.15 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.71/1.15 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.15 { ! alpha27( X, Y, Z ), alpha16( X, Y ) }.
% 0.71/1.15 { ! alpha27( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha27( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha27( X, Y, Z ) }.
% 0.71/1.15 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.71/1.15 { ! alpha5( X, Y ), alpha28( Y, skol7( X, Y ), skol23( X, Y ) ) }.
% 0.71/1.15 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol23( X, Y ) ) =
% 0.71/1.15 a_select3( X, skol23( X, Y ), skol7( X, Y ) ) }.
% 0.71/1.15 { ! alpha28( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.71/1.15 ( X, Y ) }.
% 0.71/1.15 { ! alpha28( X, Y, Z ), alpha17( X, Y ) }.
% 0.71/1.15 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.71/1.15 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.71/1.15 { alpha18( Y, skol8( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.15 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.71/1.15 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.71/1.15 U ) ) ), T, Z ) }.
% 0.71/1.15 { ! a_select3( X, skol8( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.71/1.15 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.15 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.71/1.15 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.71/1.15 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.71/1.15 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.71/1.15 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.71/1.15 { alpha19( Y, skol9( X, Y ), skol25( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.71/1.15 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.71/1.15 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.71/1.15 W ) ) ), T, Z ) }.
% 0.71/1.15 { ! a_select3( X, skol9( X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X
% 0.71/1.15 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.71/1.15 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.71/1.15 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.71/1.15 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.71/1.15 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.71/1.15 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.71/1.15 { alpha8( Y ), alpha20( X, T ), alpha34( T, skol10( Z, T ), skol26( Z, T )
% 0.71/1.15 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.71/1.15 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.71/1.15 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.71/1.15 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.71/1.15 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.71/1.15 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.71/1.15 ) }.
% 0.71/1.15 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol26( Z,
% 0.71/1.15 T ) ) = a_select3( Z, skol26( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.71/1.15 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.71/1.15 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.71/1.15 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.71/1.15 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.71/1.15 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.71/1.15 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.71/1.15 { ! alpha34( X, Y, Z ), alpha29( X, Y ) }.
% 0.71/1.15 { ! alpha34( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha34( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha29( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha34( X, Y, Z ) }.
% 0.71/1.15 { ! alpha29( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha29( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha29( X, Y ) }.
% 0.71/1.15 { ! alpha20( X, Y ), alpha35( Y, skol11( X, Y ), skol27( X, Y ) ) }.
% 0.71/1.15 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol27( X, Y ) ) =
% 0.71/1.15 a_select3( X, skol27( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.15 { ! alpha35( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.71/1.15 alpha20( X, Y ) }.
% 0.71/1.15 { ! alpha35( X, Y, Z ), alpha30( X, Y ) }.
% 0.71/1.15 { ! alpha35( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha35( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha30( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha35( X, Y, Z ) }.
% 0.71/1.15 { ! alpha30( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha30( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha30( X, Y ) }.
% 0.71/1.15 { ! alpha8( X ), alpha31( Y, skol12( X, Y ), skol28( X, Y ) ) }.
% 0.71/1.15 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol28( X, Y ) ) =
% 0.71/1.15 a_select3( X, skol28( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.15 { ! alpha31( skol32( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.71/1.15 ), alpha8( X ) }.
% 0.71/1.15 { ! alpha31( X, Y, Z ), alpha21( X, Y ) }.
% 0.71/1.15 { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.15 { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.15 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha31( X, Y, Z ) }.
% 0.71/1.15 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.71/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.71/1.15 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.71/1.15 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.71/1.15 { succ( tptp_minus_1 ) = n0 }.
% 0.71/1.15 { plus( X, n1 ) = succ( X ) }.
% 0.71/1.15 { plus( n1, X ) = succ( X ) }.
% 0.71/1.15 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.71/1.15 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.71/1.15 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.15 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.15 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.15 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.15 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.15 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.15 { minus( X, n1 ) = pred( X ) }.
% 0.71/1.15 { pred( succ( X ) ) = X }.
% 0.71/1.15 { succ( pred( X ) ) = X }.
% 0.71/1.15 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.71/1.15 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.71/1.15 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.71/1.15 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.71/1.15 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.71/1.15 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.71/1.15 , Y, V0 ), Z, T ) = W }.
% 0.71/1.15 { leq( skol29( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.71/1.15 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.71/1.15 }.
% 0.71/1.15 { alpha22( Z, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ), ! leq( n0, X )
% 0.71/1.15 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.71/1.15 U, Z, T, W ), X, Y ) = W }.
% 0.71/1.15 { ! a_select3( U, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ) = W, ! leq(
% 0.71/1.15 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.71/1.15 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.71/1.15 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.71/1.15 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.71/1.15 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.71/1.15 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.71/1.15 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.71/1.15 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.71/1.15 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.71/1.15 T }.
% 0.71/1.15 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.15 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.15 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.71/1.15 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.15 { true }.
% 0.71/1.15 { ! def = use }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, minus( n6, n1 ) ), ! leq( Y,
% 0.71/1.15 minus( n6, n1 ) ), a_select3( q_ds1_filter, X, Y ) = a_select3(
% 0.71/1.15 q_ds1_filter, Y, X ) }.
% 0.71/1.15 { alpha10, alpha23( skol15, skol30 ) }.
% 0.71/1.15 { alpha10, ! a_select3( tptp_update3( tptp_update3( tptp_update3(
% 0.71/1.15 tptp_update3( tptp_update3( tptp_update3( tptp_update3( tptp_update3(
% 0.71/1.15 tptp_update3( r_ds1_filter, n0, n0, a_select2( rho, n0 ) ), n0, n1, n0 )
% 0.71/1.15 , n0, n2, n0 ), n1, n0, n0 ), n1, n1, a_select2( rho, n1 ) ), n1, n2, n0
% 0.71/1.15 ), n2, n0, n0 ), n2, n1, n0 ), n2, n2, a_select2( rho, n2 ) ), skol15,
% 0.71/1.15 skol30 ) = a_select3( tptp_update3( tptp_update3( tptp_update3(
% 0.71/1.15 tptp_update3( tptp_update3( tptp_update3( tptp_update3( tptp_update3(
% 0.71/1.15 tptp_update3( r_ds1_filter, n0, n0, a_select2( rho, n0 ) ), n0, n1, n0 )
% 0.71/1.15 , n0, n2, n0 ), n1, n0, n0 ), n1, n1, a_select2( rho, n1 ) ), n1, n2, n0
% 0.71/1.15 ), n2, n0, n0 ), n2, n1, n0 ), n2, n2, a_select2( rho, n2 ) ), skol30,
% 0.71/1.15 skol15 ) }.
% 0.71/1.15 { ! alpha23( X, Y ), alpha32( X, Y ) }.
% 0.71/1.15 { ! alpha23( X, Y ), leq( Y, minus( n3, n1 ) ) }.
% 0.71/1.15 { ! alpha32( X, Y ), ! leq( Y, minus( n3, n1 ) ), alpha23( X, Y ) }.
% 0.71/1.15 { ! alpha32( X, Y ), leq( n0, X ) }.
% 0.71/1.15 { ! alpha32( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha32( X, Y ), leq( X, minus( n3, n1 ) ) }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, minus( n3, n1 ) ), alpha32( X,
% 0.71/1.15 Y ) }.
% 0.71/1.15 { ! alpha10, alpha24( skol16, skol31 ) }.
% 0.71/1.15 { ! alpha10, ! a_select3( q_ds1_filter, skol16, skol31 ) = a_select3(
% 0.71/1.15 q_ds1_filter, skol31, skol16 ) }.
% 0.71/1.15 { ! alpha24( X, Y ), a_select3( q_ds1_filter, X, Y ) = a_select3(
% 0.71/1.15 q_ds1_filter, Y, X ), alpha10 }.
% 0.71/1.15 { ! alpha24( X, Y ), alpha33( X, Y ) }.
% 0.71/1.15 { ! alpha24( X, Y ), leq( Y, minus( n6, n1 ) ) }.
% 0.71/1.15 { ! alpha33( X, Y ), ! leq( Y, minus( n6, n1 ) ), alpha24( X, Y ) }.
% 0.71/1.15 { ! alpha33( X, Y ), leq( n0, X ) }.
% 0.71/1.15 { ! alpha33( X, Y ), leq( n0, Y ) }.
% 0.71/1.15 { ! alpha33( X, Y ), leq( X, minus( n6, n1 ) ) }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, minus( n6, n1 ) ), alpha33( X,
% 0.71/1.15 Y ) }.
% 0.71/1.15 { gt( n5, n4 ) }.
% 0.71/1.15 { gt( n6, n4 ) }.
% 0.71/1.15 { gt( n6, n5 ) }.
% 0.71/1.15 { gt( n4, tptp_minus_1 ) }.
% 0.71/1.15 { gt( n5, tptp_minus_1 ) }.
% 0.71/1.15 { gt( n6, tptp_minus_1 ) }.
% 0.71/1.15 { gt( n0, tptp_minus_1 ) }.
% 0.71/1.15 { gt( n1, tptp_minus_1 ) }.
% 0.71/1.15 { gt( n2, tptp_minus_1 ) }.
% 0.71/1.15 { gt( n3, tptp_minus_1 ) }.
% 0.71/1.15 { gt( n4, n0 ) }.
% 0.71/1.15 { gt( n5, n0 ) }.
% 0.71/1.15 { gt( n6, n0 ) }.
% 0.71/1.15 { gt( n1, n0 ) }.
% 0.71/1.15 { gt( n2, n0 ) }.
% 0.71/1.15 { gt( n3, n0 ) }.
% 0.71/1.15 { gt( n4, n1 ) }.
% 0.71/1.15 { gt( n5, n1 ) }.
% 0.71/1.15 { gt( n6, n1 ) }.
% 0.71/1.15 { gt( n2, n1 ) }.
% 0.71/1.15 { gt( n3, n1 ) }.
% 0.71/1.15 { gt( n4, n2 ) }.
% 0.71/1.15 { gt( n5, n2 ) }.
% 0.71/1.15 { gt( n6, n2 ) }.
% 0.71/1.15 { gt( n3, n2 ) }.
% 0.71/1.15 { gt( n4, n3 ) }.
% 0.71/1.15 { gt( n5, n3 ) }.
% 0.71/1.15 { gt( n6, n3 ) }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.71/1.15 .
% 0.71/1.15 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.71/1.15 = n5 }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( X, n6 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.71/1.15 = n5, X = n6 }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.71/1.15 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.71/1.15 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.71/1.15 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.71/1.15 { succ( succ( succ( succ( succ( succ( n0 ) ) ) ) ) ) = n6 }.
% 0.71/1.15 { succ( n0 ) = n1 }.
% 0.71/1.15 { succ( succ( n0 ) ) = n2 }.
% 0.71/1.15 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.71/1.15
% 0.71/1.15 *** allocated 15000 integers for clauses
% 0.71/1.15 percentage equality = 0.182432, percentage horn = 0.866379
% 0.71/1.15 This is a problem with some equality
% 0.71/1.15
% 0.71/1.15
% 0.71/1.15
% 0.71/1.15 Options Used:
% 0.71/1.15
% 0.71/1.15 useres = 1
% 0.71/1.15 useparamod = 1
% 1.46/1.85 useeqrefl = 1
% 1.46/1.85 useeqfact = 1
% 1.46/1.85 usefactor = 1
% 1.46/1.85 usesimpsplitting = 0
% 1.46/1.85 usesimpdemod = 5
% 1.46/1.85 usesimpres = 3
% 1.46/1.85
% 1.46/1.85 resimpinuse = 1000
% 1.46/1.85 resimpclauses = 20000
% 1.46/1.85 substype = eqrewr
% 1.46/1.85 backwardsubs = 1
% 1.46/1.85 selectoldest = 5
% 1.46/1.85
% 1.46/1.85 litorderings [0] = split
% 1.46/1.85 litorderings [1] = extend the termordering, first sorting on arguments
% 1.46/1.85
% 1.46/1.85 termordering = kbo
% 1.46/1.85
% 1.46/1.85 litapriori = 0
% 1.46/1.85 termapriori = 1
% 1.46/1.85 litaposteriori = 0
% 1.46/1.85 termaposteriori = 0
% 1.46/1.85 demodaposteriori = 0
% 1.46/1.85 ordereqreflfact = 0
% 1.46/1.85
% 1.46/1.85 litselect = negord
% 1.46/1.85
% 1.46/1.85 maxweight = 15
% 1.46/1.85 maxdepth = 30000
% 1.46/1.85 maxlength = 115
% 1.46/1.85 maxnrvars = 195
% 1.46/1.85 excuselevel = 1
% 1.46/1.85 increasemaxweight = 1
% 1.46/1.85
% 1.46/1.85 maxselected = 10000000
% 1.46/1.85 maxnrclauses = 10000000
% 1.46/1.85
% 1.46/1.85 showgenerated = 0
% 1.46/1.85 showkept = 0
% 1.46/1.85 showselected = 0
% 1.46/1.85 showdeleted = 0
% 1.46/1.85 showresimp = 1
% 1.46/1.85 showstatus = 2000
% 1.46/1.85
% 1.46/1.85 prologoutput = 0
% 1.46/1.85 nrgoals = 5000000
% 1.46/1.85 totalproof = 1
% 1.46/1.85
% 1.46/1.85 Symbols occurring in the translation:
% 1.46/1.85
% 1.46/1.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.46/1.85 . [1, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.46/1.85 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 1.46/1.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.85 gt [37, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.46/1.85 leq [39, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.46/1.85 lt [40, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.46/1.85 geq [41, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.46/1.85 pred [42, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.46/1.85 succ [43, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.46/1.85 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.46/1.85 uniform_int_rnd [46, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.46/1.85 dim [51, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.46/1.85 tptp_const_array1 [52, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.46/1.85 a_select2 [53, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.46/1.85 tptp_const_array2 [59, 3] (w:1, o:147, a:1, s:1, b:0),
% 1.46/1.85 a_select3 [60, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.46/1.85 trans [63, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.46/1.85 inv [64, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.46/1.85 tptp_update3 [67, 4] (w:1, o:165, a:1, s:1, b:0),
% 1.46/1.85 tptp_madd [69, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.46/1.85 tptp_msub [70, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.46/1.85 tptp_mmul [71, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.46/1.85 tptp_minus_1 [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.46/1.85 sum [78, 3] (w:1, o:145, a:1, s:1, b:0),
% 1.46/1.85 tptp_float_0_0 [79, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.46/1.85 n1 [80, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.46/1.85 plus [81, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.46/1.85 n2 [82, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.46/1.85 n3 [83, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.46/1.85 n4 [84, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.46/1.85 n5 [85, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.46/1.85 minus [86, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.46/1.85 tptp_update2 [91, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.46/1.85 true [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.46/1.85 def [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.46/1.85 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.46/1.85 n6 [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.46/1.85 q_ds1_filter [96, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.46/1.85 r_ds1_filter [97, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.46/1.85 rho [98, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.46/1.85 alpha1 [99, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.46/1.85 alpha2 [100, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.46/1.85 alpha3 [101, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.46/1.85 alpha4 [102, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.46/1.85 alpha5 [103, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.46/1.85 alpha6 [104, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.46/1.85 alpha7 [105, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.46/1.85 alpha8 [106, 1] (w:1, o:63, a:1, s:1, b:1),
% 1.46/1.85 alpha9 [107, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.46/1.85 alpha10 [108, 0] (w:1, o:52, a:1, s:1, b:1),
% 1.46/1.85 alpha11 [109, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.46/1.85 alpha12 [110, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.46/1.85 alpha13 [111, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.46/1.85 alpha14 [112, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.46/1.85 alpha15 [113, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.46/1.85 alpha16 [114, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.46/1.85 alpha17 [115, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.46/1.85 alpha18 [116, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.46/1.85 alpha19 [117, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.46/1.85 alpha2Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------