TSTP Solution File: SWV059+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV059+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 16:22:20 EDT 2022
% Result : Theorem 0.70s 1.13s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV059+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 21:02:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.12 *** allocated 10000 integers for termspace/termends
% 0.70/1.12 *** allocated 10000 integers for clauses
% 0.70/1.12 *** allocated 10000 integers for justifications
% 0.70/1.12 Bliksem 1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Automatic Strategy Selection
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Clauses:
% 0.70/1.12
% 0.70/1.12 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.70/1.12 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.70/1.12 { ! gt( X, X ) }.
% 0.70/1.12 { leq( X, X ) }.
% 0.70/1.12 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.70/1.12 { ! lt( X, Y ), gt( Y, X ) }.
% 0.70/1.12 { ! gt( Y, X ), lt( X, Y ) }.
% 0.70/1.12 { ! geq( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( Y, X ), geq( X, Y ) }.
% 0.70/1.12 { ! gt( Y, X ), leq( X, Y ) }.
% 0.70/1.12 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.70/1.12 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.70/1.12 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.70/1.12 { gt( succ( X ), X ) }.
% 0.70/1.12 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.70/1.12 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.70/1.12 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.70/1.12 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.70/1.12 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.70/1.12 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.70/1.12 T ), X ) = T }.
% 0.70/1.12 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.70/1.12 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.70/1.12 { alpha11( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.70/1.12 a_select3( trans( X ), T, Z ) }.
% 0.70/1.12 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.70/1.12 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.12 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.70/1.12 ) }.
% 0.70/1.12 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.70/1.12 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.70/1.12 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.70/1.12 { alpha12( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.70/1.12 a_select3( inv( X ), T, Z ) }.
% 0.70/1.12 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.70/1.12 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.12 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.70/1.12 .
% 0.70/1.12 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.70/1.12 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.70/1.12 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.70/1.12 { alpha13( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.12 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.70/1.12 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.70/1.12 X, U, U, W ), T, Z ) }.
% 0.70/1.12 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.70/1.12 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.12 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.70/1.12 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.70/1.12 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.70/1.12 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.70/1.12 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.70/1.12 { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.70/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.70/1.12 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.70/1.12 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.70/1.12 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.70/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.70/1.12 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.70/1.12 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.70/1.12 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.70/1.12 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.70/1.12 { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.70/1.12 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.70/1.12 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.12 { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.70/1.12 ( X, Y ) }.
% 0.70/1.12 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.70/1.12 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.70/1.12 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.70/1.12 { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.70/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.70/1.12 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.70/1.12 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.70/1.12 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.70/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.70/1.12 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.70/1.12 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.70/1.12 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.70/1.12 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.70/1.12 { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.70/1.12 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.70/1.12 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.70/1.12 { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.70/1.12 ( X, Y ) }.
% 0.70/1.12 { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 0.70/1.12 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.70/1.12 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.70/1.12 { alpha18( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.70/1.12 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.70/1.12 U ) ) ), T, Z ) }.
% 0.70/1.12 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.70/1.12 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.12 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.70/1.12 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.70/1.12 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.70/1.12 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.70/1.12 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.70/1.12 { alpha19( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.70/1.12 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.70/1.12 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.70/1.12 W ) ) ), T, Z ) }.
% 0.70/1.12 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.70/1.12 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.70/1.12 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.70/1.12 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.70/1.12 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.70/1.12 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.70/1.12 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.70/1.12 { alpha8( Y ), alpha20( X, T ), alpha30( T, skol10( Z, T ), skol24( Z, T )
% 0.70/1.12 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.70/1.12 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.70/1.12 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.70/1.12 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.70/1.12 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.70/1.12 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.70/1.12 ) }.
% 0.70/1.12 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.70/1.12 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.70/1.12 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.70/1.12 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.70/1.12 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.70/1.12 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.70/1.12 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.70/1.12 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.70/1.12 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.70/1.12 { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.70/1.12 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.70/1.12 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.70/1.12 { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.70/1.12 alpha20( X, Y ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha31( X, Y, Z ) }.
% 0.70/1.12 { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y ) }.
% 0.70/1.12 { ! alpha8( X ), alpha29( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.70/1.12 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.70/1.12 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.70/1.12 { ! alpha29( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.70/1.12 ), alpha8( X ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.70/1.12 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.70/1.12 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.70/1.12 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.70/1.12 { succ( tptp_minus_1 ) = n0 }.
% 0.70/1.12 { plus( X, n1 ) = succ( X ) }.
% 0.70/1.12 { plus( n1, X ) = succ( X ) }.
% 0.70/1.12 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.70/1.12 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.70/1.12 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.70/1.12 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.70/1.12 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.70/1.12 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.70/1.12 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.70/1.12 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.70/1.12 { minus( X, n1 ) = pred( X ) }.
% 0.70/1.12 { pred( succ( X ) ) = X }.
% 0.70/1.12 { succ( pred( X ) ) = X }.
% 0.70/1.12 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.70/1.12 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.70/1.12 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.70/1.12 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.70/1.12 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.70/1.12 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.70/1.12 , Y, V0 ), Z, T ) = W }.
% 0.70/1.12 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.70/1.12 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.70/1.12 }.
% 0.70/1.12 { alpha22( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.70/1.12 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.70/1.12 U, Z, T, W ), X, Y ) = W }.
% 0.70/1.12 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.70/1.12 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.70/1.12 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.70/1.12 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.70/1.12 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.70/1.12 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.70/1.12 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.70/1.12 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.70/1.12 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.70/1.12 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.70/1.12 T }.
% 0.70/1.12 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.70/1.12 tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.12 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.70/1.12 tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.12 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.70/1.12 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.12 { true }.
% 0.70/1.12 { ! def = use }.
% 0.70/1.12 { geq( pv72, tptp_float_0_001 ) }.
% 0.70/1.12 { alpha10, gt( plus( n1, loopcounter ), n1 ) }.
% 0.70/1.12 { alpha10, ! true }.
% 0.70/1.12 { ! alpha10, ! gt( plus( n1, loopcounter ), n1 ) }.
% 0.70/1.12 { ! alpha10, ! true }.
% 0.70/1.12 { gt( plus( n1, loopcounter ), n1 ), true, alpha10 }.
% 0.70/1.12 { gt( n5, n4 ) }.
% 0.70/1.12 { gt( n4, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n5, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n0, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n1, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n2, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n3, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n4, n0 ) }.
% 0.70/1.12 { gt( n5, n0 ) }.
% 0.70/1.12 { gt( n1, n0 ) }.
% 0.70/1.12 { gt( n2, n0 ) }.
% 0.70/1.12 { gt( n3, n0 ) }.
% 0.70/1.12 { gt( n4, n1 ) }.
% 0.70/1.12 { gt( n5, n1 ) }.
% 0.70/1.12 { gt( n2, n1 ) }.
% 0.70/1.12 { gt( n3, n1 ) }.
% 0.70/1.12 { gt( n4, n2 ) }.
% 0.70/1.12 { gt( n5, n2 ) }.
% 0.70/1.12 { gt( n3, n2 ) }.
% 0.70/1.12 { gt( n4, n3 ) }.
% 0.70/1.12 { gt( n5, n3 ) }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.70/1.12 .
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.70/1.12 = n5 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.70/1.12 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.70/1.12 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.70/1.12 { succ( n0 ) = n1 }.
% 0.70/1.12 { succ( succ( n0 ) ) = n2 }.
% 0.70/1.12 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.70/1.12
% 0.70/1.12 percentage equality = 0.179775, percentage horn = 0.860577
% 0.70/1.12 This is a problem with some equality
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Options Used:
% 0.70/1.12
% 0.70/1.12 useres = 1
% 0.70/1.12 useparamod = 1
% 0.70/1.12 useeqrefl = 1
% 0.70/1.12 useeqfact = 1
% 0.70/1.12 usefactor = 1
% 0.70/1.12 usesimpsplitting = 0
% 0.70/1.12 usesimpdemod = 5
% 0.70/1.12 usesimpres = 3
% 0.70/1.12
% 0.70/1.12 resimpinuse = 1000
% 0.70/1.12 resimpclauses = 20000
% 0.70/1.12 substype = eqrewr
% 0.70/1.12 backwardsubs = 1
% 0.70/1.12 selectoldest = 5
% 0.70/1.12
% 0.70/1.12 litorderings [0] = split
% 0.70/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.12
% 0.70/1.12 termordering = kbo
% 0.70/1.12
% 0.70/1.12 litapriori = 0
% 0.70/1.12 termapriori = 1
% 0.70/1.12 litaposteriori = 0
% 0.70/1.12 termaposteriori = 0
% 0.70/1.12 demodaposteriori = 0
% 0.70/1.12 ordereqreflfact = 0
% 0.70/1.12
% 0.70/1.12 litselect = negord
% 0.70/1.12
% 0.70/1.12 maxweight = 15
% 0.70/1.12 maxdepth = 30000
% 0.70/1.12 maxlength = 115
% 0.70/1.12 maxnrvars = 195
% 0.70/1.12 excuselevel = 1
% 0.70/1.12 increasemaxweight = 1
% 0.70/1.12
% 0.70/1.12 maxselected = 10000000
% 0.70/1.12 maxnrclauses = 10000000
% 0.70/1.12
% 0.70/1.12 showgenerated = 0
% 0.70/1.12 showkept = 0
% 0.70/1.12 showselected = 0
% 0.70/1.12 showdeleted = 0
% 0.70/1.12 showresimp = 1
% 0.70/1.12 showstatus = 2000
% 0.70/1.12
% 0.70/1.12 prologoutput = 0
% 0.70/1.12 nrgoals = 5000000
% 0.70/1.12 totalproof = 1
% 0.70/1.12
% 0.70/1.12 Symbols occurring in the translation:
% 0.70/1.12
% 0.70/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.12 . [1, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.70/1.12 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.70/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 gt [37, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.70/1.12 leq [39, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.70/1.12 lt [40, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.70/1.12 geq [41, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.70/1.12 pred [42, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.70/1.12 succ [43, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.70/1.12 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.12 uniform_int_rnd [46, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.70/1.12 dim [51, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.70/1.12 tptp_const_array1 [52, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.70/1.12 a_select2 [53, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.70/1.12 tptp_const_array2 [59, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.70/1.12 a_select3 [60, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.70/1.12 trans [63, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.70/1.12 inv [64, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.70/1.12 tptp_update3 [67, 4] (w:1, o:156, a:1, s:1, b:0),
% 0.70/1.12 tptp_madd [69, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.70/1.13 tptp_msub [70, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.70/1.13 tptp_mmul [71, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.70/1.13 tptp_minus_1 [77, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.70/1.13 sum [78, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.70/1.13 tptp_float_0_0 [79, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.70/1.13 n1 [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.70/1.13 plus [81, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.70/1.13 n2 [82, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.70/1.13 n3 [83, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.70/1.13 n4 [84, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.70/1.13 n5 [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.70/1.13 minus [86, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.70/1.13 tptp_update2 [91, 3] (w:1, o:140, a:1, s:1, b:0),
% 0.70/1.13 true [92, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.70/1.13 def [93, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.70/1.13 use [94, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.70/1.13 pv72 [95, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.13 tptp_float_0_001 [96, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.70/1.13 loopcounter [97, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.13 alpha1 [98, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.70/1.13 alpha2 [99, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.70/1.13 alpha3 [100, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.70/1.13 alpha4 [101, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.70/1.13 alpha5 [102, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.70/1.13 alpha6 [103, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.70/1.13 alpha7 [104, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.70/1.13 alpha8 [105, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.70/1.13 alpha9 [106, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.70/1.13 alpha10 [107, 0] (w:1, o:47, a:1, s:1, b:1),
% 0.70/1.13 alpha11 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 0.70/1.13 alpha12 [109, 3] (w:1, o:142, a:1, s:1, b:1),
% 0.70/1.13 alpha13 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 0.70/1.13 alpha14 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.70/1.13 alpha15 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.70/1.13 alpha16 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.70/1.13 alpha17 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.70/1.13 alpha18 [115, 3] (w:1, o:144, a:1, s:1, b:1),
% 0.70/1.13 alpha19 [116, 3] (w:1, o:145, a:1, s:1, b:1),
% 0.70/1.13 alpha20 [117, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.70/1.13 alpha21 [118, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.70/1.13 alpha22 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.70/1.13 alpha23 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.70/1.13 alpha24 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.70/1.13 alpha25 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.70/1.13 alpha26 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.70/1.13 alpha27 [124, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.70/1.13 alpha28 [125, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.70/1.13 alpha29 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.70/1.13 alpha30 [127, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.70/1.13 alpha31 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.70/1.13 skol1 [129, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.70/1.13 skol2 [130, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.70/1.13 skol3 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.70/1.13 skol4 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.70/1.13 skol5 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.70/1.13 skol6 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.70/1.13 skol7 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.70/1.13 skol8 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.70/1.13 skol9 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.70/1.13 skol10 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.70/1.13 skol11 [139, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.70/1.13 skol12 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.70/1.13 skol13 [141, 4] (w:1, o:154, a:1, s:1, b:1),
% 0.70/1.13 skol14 [142, 3] (w:1, o:137, a:1, s:1, b:1),
% 0.70/1.13 skol15 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.70/1.13 skol16 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.70/1.13 skol17 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.70/1.13 skol18 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.70/1.13 skol19 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.70/1.13 skol20 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.70/1.13 skol21 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.70/1.13 skol22 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.70/1.13 skol23 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.70/1.13 skol24 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.70/1.13 skol25 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.70/1.13 skol26 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.70/1.13 skol27 [155, 4] (w:1, o:155, a:1, s:1, b:1),
% 0.70/1.13 skol28 [156, 1] (w:1, o:55, a:1, s:1, b:1).
% 0.70/1.13
% 0.70/1.13
% 0.70/1.13 Starting Search:
% 0.70/1.13
% 0.70/1.13 *** allocated 15000 integers for clauses
% 0.70/1.13 *** allocated 22500 integers for clauses
% 0.70/1.13 *** allocated 15000 integers for termspace/termends
% 0.70/1.13 *** allocated 33750 integers for clauses
% 0.70/1.13
% 0.70/1.13 Bliksems!, er is een bewijs:
% 0.70/1.13 % SZS status Theorem
% 0.70/1.13 % SZS output start Refutation
% 0.70/1.13
% 0.70/1.13 (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.70/1.13 (173) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 0.70/1.13 (175) {G2,W1,D1,L1,V0,M1} I;r(173) { ! true }.
% 0.70/1.13 (404) {G3,W0,D0,L0,V0,M0} S(175);r(169) { }.
% 0.70/1.13
% 0.70/1.13
% 0.70/1.13 % SZS output end Refutation
% 0.70/1.13 found a proof!
% 0.70/1.13
% 0.70/1.13 *** allocated 22500 integers for termspace/termends
% 0.70/1.13
% 0.70/1.13 Unprocessed initial clauses:
% 0.70/1.13
% 0.70/1.13 (406) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.70/1.13 (407) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.70/1.13 (408) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.70/1.13 (409) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.70/1.13 (410) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.70/1.13 (411) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.70/1.13 (412) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.70/1.13 (413) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (414) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.70/1.13 (415) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.70/1.13 (416) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.70/1.13 (417) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.70/1.13 (418) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.70/1.13 (419) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.70/1.13 (420) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.70/1.13 (421) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.70/1.13 (422) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.70/1.13 (423) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ),
% 0.70/1.13 X ) }.
% 0.70/1.13 (424) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X
% 0.70/1.13 ) ) }.
% 0.70/1.13 (425) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.70/1.13 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.70/1.13 (426) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ),
% 0.70/1.13 ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), V0
% 0.70/1.13 ), X, T ) = V0 }.
% 0.70/1.13 (427) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol1( X, Y ), skol15( X, Y ) ),
% 0.70/1.13 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.70/1.13 trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.70/1.13 (428) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y )
% 0.70/1.13 ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.70/1.13 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.70/1.13 a_select3( trans( X ), T, Z ) }.
% 0.70/1.13 (429) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.70/1.13 (430) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (431) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (432) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.70/1.13 ), alpha11( X, Y, Z ) }.
% 0.70/1.13 (433) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (434) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (435) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (436) {G0,W31,D4,L6,V4,M6} { alpha12( Y, skol2( X, Y ), skol16( X, Y ) ),
% 0.70/1.13 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.70/1.13 inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.70/1.13 (437) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y )
% 0.70/1.13 ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.70/1.13 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.70/1.13 a_select3( inv( X ), T, Z ) }.
% 0.70/1.13 (438) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.70/1.13 (439) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (440) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (441) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.70/1.13 ), alpha12( X, Y, Z ) }.
% 0.70/1.13 (442) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (443) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (444) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (445) {G0,W43,D4,L8,V6,M8} { alpha13( Y, skol3( X, Y ), skol17( X, Y ) ),
% 0.70/1.13 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0,
% 0.70/1.13 U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.70/1.13 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.70/1.13 (446) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y )
% 0.70/1.13 ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.70/1.13 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.70/1.13 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.70/1.13 X, U, U, W ), T, Z ) }.
% 0.70/1.13 (447) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.70/1.13 (448) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (449) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (450) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.70/1.13 ), alpha13( X, Y, Z ) }.
% 0.70/1.13 (451) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (452) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (453) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (454) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ),
% 0.70/1.13 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.70/1.13 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.70/1.13 ), U, T ) }.
% 0.70/1.13 (455) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z )
% 0.70/1.13 , skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq
% 0.70/1.13 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.70/1.13 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.70/1.13 (456) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.70/1.13 (457) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (458) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (459) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.70/1.13 X ), alpha23( X, Y, Z ) }.
% 0.70/1.13 (460) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (461) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (462) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (463) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y ),
% 0.70/1.13 skol19( X, Y ) ) }.
% 0.70/1.13 (464) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y
% 0.70/1.13 ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.13 (465) {G0,W16,D3,L3,V4,M3} { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) =
% 0.70/1.13 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.70/1.13 (466) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.70/1.13 (467) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (468) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (469) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.70/1.13 X ), alpha24( X, Y, Z ) }.
% 0.70/1.13 (470) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (471) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (472) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (473) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ),
% 0.70/1.13 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.70/1.13 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.70/1.13 ), U, T ) }.
% 0.70/1.13 (474) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z )
% 0.70/1.13 , skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq
% 0.70/1.13 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.70/1.13 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.70/1.13 (475) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.70/1.13 (476) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (477) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (478) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.70/1.13 X ), alpha25( X, Y, Z ) }.
% 0.70/1.13 (479) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (480) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (481) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (482) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y ),
% 0.70/1.13 skol21( X, Y ) ) }.
% 0.70/1.13 (483) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y
% 0.70/1.13 ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.70/1.13 (484) {G0,W16,D3,L3,V4,M3} { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) =
% 0.70/1.13 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.70/1.13 (485) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 0.70/1.13 (486) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (487) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (488) {G0,W13,D2,L4,V3,M4} { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.70/1.13 X ), alpha26( X, Y, Z ) }.
% 0.70/1.13 (489) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (490) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (491) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (492) {G0,W39,D6,L6,V5,M6} { alpha18( Y, skol8( X, Y ), skol22( X, Y ) ),
% 0.70/1.13 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.70/1.13 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.70/1.13 ( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.70/1.13 (493) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y )
% 0.70/1.13 ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.70/1.13 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.70/1.13 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.70/1.13 ( X, trans( U ) ) ), T, Z ) }.
% 0.70/1.13 (494) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.70/1.13 (495) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (496) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (497) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.70/1.13 ), alpha18( X, Y, Z ) }.
% 0.70/1.13 (498) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (499) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (500) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (501) {G0,W39,D6,L6,V6,M6} { alpha19( Y, skol9( X, Y ), skol23( X, Y ) ),
% 0.70/1.13 ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3(
% 0.70/1.13 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.70/1.13 ( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.70/1.13 (502) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y )
% 0.70/1.13 ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.70/1.13 ( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.70/1.13 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.70/1.13 ( X, trans( W ) ) ), T, Z ) }.
% 0.70/1.13 (503) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.70/1.13 (504) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (505) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (506) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.70/1.13 ), alpha19( X, Y, Z ) }.
% 0.70/1.13 (507) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (508) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (509) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (510) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), alpha30( T,
% 0.70/1.13 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.70/1.13 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.70/1.13 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.70/1.13 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.70/1.13 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.70/1.13 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.70/1.13 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.70/1.13 (511) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), ! a_select3( Z
% 0.70/1.13 , skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ), skol10
% 0.70/1.13 ( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T )
% 0.70/1.13 , a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul
% 0.70/1.13 ( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans(
% 0.70/1.13 V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X,
% 0.70/1.13 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.70/1.13 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.70/1.13 ), W, U ) }.
% 0.70/1.13 (512) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.70/1.13 (513) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (514) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (515) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.70/1.13 X ), alpha30( X, Y, Z ) }.
% 0.70/1.13 (516) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (517) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (518) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (519) {G0,W11,D3,L2,V2,M2} { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y )
% 0.70/1.13 , skol25( X, Y ) ) }.
% 0.70/1.13 (520) {G0,W20,D4,L2,V2,M2} { ! alpha20( X, Y ), ! a_select3( X, skol11( X
% 0.70/1.13 , Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 0.70/1.13 }.
% 0.70/1.13 (521) {G0,W16,D3,L3,V4,M3} { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) =
% 0.70/1.13 a_select3( X, T, Z ), alpha20( X, Y ) }.
% 0.70/1.13 (522) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 0.70/1.13 (523) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (524) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (525) {G0,W13,D2,L4,V3,M4} { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.70/1.13 X ), alpha31( X, Y, Z ) }.
% 0.70/1.13 (526) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (527) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (528) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (529) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha29( Y, skol12( X, Y ),
% 0.70/1.13 skol26( X, Y ) ) }.
% 0.70/1.13 (530) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y )
% 0.70/1.13 , skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.70/1.13 (531) {G0,W16,D3,L3,V3,M3} { ! alpha29( skol28( X ), Y, Z ), a_select3( X
% 0.70/1.13 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.70/1.13 (532) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 0.70/1.13 (533) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.13 (534) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.13 (535) {G0,W13,D2,L4,V3,M4} { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.70/1.13 X ), alpha29( X, Y, Z ) }.
% 0.70/1.13 (536) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.70/1.13 (537) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.70/1.13 (538) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y )
% 0.70/1.13 }.
% 0.70/1.13 (539) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.70/1.13 (540) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.70/1.13 }.
% 0.70/1.13 (541) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.70/1.13 (542) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.70/1.13 (543) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.70/1.13 (544) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.70/1.13 (545) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.70/1.13 (546) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.70/1.13 (547) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.70/1.13 (548) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.70/1.13 ) ) }.
% 0.70/1.13 (549) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.70/1.13 ) ) }.
% 0.70/1.13 (550) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.70/1.13 ( X ) ) ) ) ) }.
% 0.70/1.13 (551) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.70/1.13 ( X ) ) ) ) ) }.
% 0.70/1.13 (552) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.70/1.13 (553) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.70/1.13 (554) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.70/1.13 (555) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.70/1.13 (556) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.70/1.13 (557) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.70/1.13 (558) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.70/1.13 (559) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z )
% 0.70/1.13 = T }.
% 0.70/1.13 (560) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.70/1.13 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.70/1.13 (561) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0
% 0.70/1.13 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.70/1.14 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.70/1.14 (562) {G0,W34,D4,L6,V6,M6} { alpha22( Z, skol13( Z, T, U, W ), skol27( Z,
% 0.70/1.14 T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T )
% 0.70/1.14 , a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.70/1.14 (563) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol27
% 0.70/1.14 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.70/1.14 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.70/1.14 (564) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.70/1.14 (565) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.70/1.14 (566) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X,
% 0.70/1.14 Y, Z ) }.
% 0.70/1.14 (567) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.70/1.14 (568) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.70/1.14 (569) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y )
% 0.70/1.14 }.
% 0.70/1.14 (570) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.70/1.14 }.
% 0.70/1.14 (571) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.70/1.14 tptp_update2( Z, X, U ), Y ) = T }.
% 0.70/1.14 (572) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X )
% 0.70/1.14 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.14 (573) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ),
% 0.70/1.14 ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.14 (574) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.70/1.14 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.70/1.14 }.
% 0.70/1.14 (575) {G0,W1,D1,L1,V0,M1} { true }.
% 0.70/1.14 (576) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.70/1.14 (577) {G0,W3,D2,L1,V0,M1} { geq( pv72, tptp_float_0_001 ) }.
% 0.70/1.14 (578) {G0,W6,D3,L2,V0,M2} { alpha10, gt( plus( n1, loopcounter ), n1 ) }.
% 0.70/1.14 (579) {G0,W2,D1,L2,V0,M2} { alpha10, ! true }.
% 0.70/1.14 (580) {G0,W6,D3,L2,V0,M2} { ! alpha10, ! gt( plus( n1, loopcounter ), n1 )
% 0.70/1.14 }.
% 0.70/1.14 (581) {G0,W2,D1,L2,V0,M2} { ! alpha10, ! true }.
% 0.70/1.14 (582) {G0,W7,D3,L3,V0,M3} { gt( plus( n1, loopcounter ), n1 ), true,
% 0.70/1.14 alpha10 }.
% 0.70/1.14 (583) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.70/1.14 (584) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.70/1.14 (585) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.70/1.14 (586) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.70/1.14 (587) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.70/1.14 (588) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.70/1.14 (589) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.70/1.14 (590) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.70/1.14 (591) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.70/1.14 (592) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.70/1.14 (593) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.70/1.14 (594) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.70/1.14 (595) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.70/1.14 (596) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.70/1.14 (597) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.70/1.14 (598) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.70/1.14 (599) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.70/1.14 (600) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.70/1.14 (601) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.70/1.14 (602) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.70/1.14 (603) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.70/1.14 (604) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.70/1.14 n1, X = n2, X = n3, X = n4 }.
% 0.70/1.14 (605) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.70/1.14 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.70/1.14 (606) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.70/1.14 (607) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.70/1.14 n1 }.
% 0.70/1.14 (608) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.70/1.14 n1, X = n2 }.
% 0.70/1.14 (609) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.70/1.14 n1, X = n2, X = n3 }.
% 0.70/1.14 (610) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.70/1.14 (611) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.70/1.14 n5 }.
% 0.70/1.14 (612) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.70/1.14 (613) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.70/1.14 (614) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.70/1.14
% 0.70/1.14
% 0.70/1.14 Total Proof:
% 0.70/1.14
% 0.70/1.14 *** allocated 33750 integers for termspace/termends
% 0.70/1.14 *** allocated 50625 integers for clauses
% 0.70/1.14 *** allocated 50625 integers for termspace/termends
% 0.73/1.16 subsumption: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.73/1.16 parent0: (575) {G0,W1,D1,L1,V0,M1} { true }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 *** allocated 75937 integers for termspace/termends
% 0.73/1.16 *** allocated 75937 integers for clauses
% 0.73/1.16 resolution: (1668) {G1,W1,D1,L1,V0,M1} { alpha10 }.
% 0.73/1.16 parent0[1]: (579) {G0,W2,D1,L2,V0,M2} { alpha10, ! true }.
% 0.73/1.16 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (173) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 0.73/1.16 parent0: (1668) {G1,W1,D1,L1,V0,M1} { alpha10 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 resolution: (2197) {G1,W1,D1,L1,V0,M1} { ! true }.
% 0.73/1.16 parent0[0]: (581) {G0,W2,D1,L2,V0,M2} { ! alpha10, ! true }.
% 0.73/1.16 parent1[0]: (173) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (175) {G2,W1,D1,L1,V0,M1} I;r(173) { ! true }.
% 0.73/1.16 parent0: (2197) {G1,W1,D1,L1,V0,M1} { ! true }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 resolution: (2198) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.16 parent0[0]: (175) {G2,W1,D1,L1,V0,M1} I;r(173) { ! true }.
% 0.73/1.16 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (404) {G3,W0,D0,L0,V0,M0} S(175);r(169) { }.
% 0.73/1.16 parent0: (2198) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 Proof check complete!
% 0.73/1.16
% 0.73/1.16 Memory use:
% 0.73/1.16
% 0.73/1.16 space for terms: 12943
% 0.73/1.16 space for clauses: 22411
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 clauses generated: 3551
% 0.73/1.16 clauses kept: 405
% 0.73/1.16 clauses selected: 0
% 0.73/1.16 clauses deleted: 1
% 0.73/1.16 clauses inuse deleted: 0
% 0.73/1.16
% 0.73/1.16 subsentry: 18920
% 0.73/1.16 literals s-matched: 7464
% 0.73/1.16 literals matched: 4998
% 0.73/1.16 full subsumption: 2126
% 0.73/1.16
% 0.73/1.16 checksum: -518437713
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Bliksem ended
%------------------------------------------------------------------------------