TSTP Solution File: SWV105+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV105+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 16:22:31 EDT 2022
% Result : Theorem 0.82s 1.20s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV105+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Wed Jun 15 20:42:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.82/1.19 *** allocated 10000 integers for termspace/termends
% 0.82/1.19 *** allocated 10000 integers for clauses
% 0.82/1.19 *** allocated 10000 integers for justifications
% 0.82/1.19 Bliksem 1.12
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Automatic Strategy Selection
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Clauses:
% 0.82/1.19
% 0.82/1.19 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.82/1.19 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.82/1.19 { ! gt( X, X ) }.
% 0.82/1.19 { leq( X, X ) }.
% 0.82/1.19 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.82/1.19 { ! lt( X, Y ), gt( Y, X ) }.
% 0.82/1.19 { ! gt( Y, X ), lt( X, Y ) }.
% 0.82/1.19 { ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( Y, X ), geq( X, Y ) }.
% 0.82/1.19 { ! gt( Y, X ), leq( X, Y ) }.
% 0.82/1.19 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.82/1.19 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.82/1.19 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.82/1.19 { gt( succ( X ), X ) }.
% 0.82/1.19 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.82/1.19 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.82/1.19 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.82/1.19 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.82/1.19 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.82/1.19 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.82/1.19 T ), X ) = T }.
% 0.82/1.19 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.82/1.19 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.82/1.19 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.82/1.19 a_select3( trans( X ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.82/1.19 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.82/1.19 ) }.
% 0.82/1.19 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.82/1.19 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.82/1.19 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.82/1.19 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.82/1.19 a_select3( inv( X ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.82/1.19 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.82/1.19 .
% 0.82/1.19 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.82/1.19 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.82/1.19 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.82/1.19 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.82/1.19 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.82/1.19 X, U, U, W ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.82/1.19 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.82/1.19 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.82/1.19 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.82/1.19 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.82/1.19 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.82/1.19 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.82/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.82/1.19 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.82/1.19 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.82/1.19 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.82/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.82/1.19 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.82/1.19 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.82/1.19 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.82/1.19 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.82/1.19 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.82/1.19 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.82/1.19 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.82/1.19 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.82/1.19 ( X, Y ) }.
% 0.82/1.19 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.82/1.19 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.82/1.19 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.82/1.19 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.82/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.82/1.19 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.82/1.19 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.82/1.19 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.82/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.82/1.19 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.82/1.19 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.82/1.19 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.82/1.19 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.82/1.19 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.82/1.19 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.82/1.19 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.82/1.19 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.82/1.19 ( X, Y ) }.
% 0.82/1.19 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.82/1.19 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.82/1.19 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.82/1.19 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.82/1.19 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.82/1.19 U ) ) ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.82/1.19 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.82/1.19 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.82/1.19 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.82/1.19 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.82/1.19 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.82/1.19 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.82/1.19 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.82/1.19 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.82/1.19 W ) ) ), T, Z ) }.
% 0.82/1.19 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.82/1.19 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.82/1.19 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.82/1.19 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.82/1.19 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.82/1.19 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.19 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.19 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.82/1.19 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.82/1.19 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.82/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.82/1.19 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.82/1.19 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.82/1.19 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.82/1.19 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.82/1.20 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.82/1.20 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.82/1.20 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.82/1.20 ) }.
% 0.82/1.20 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.82/1.20 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.82/1.20 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.82/1.20 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.82/1.20 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.82/1.20 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.82/1.20 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.82/1.20 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.82/1.20 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.82/1.20 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.82/1.20 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.82/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.82/1.20 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.82/1.20 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.82/1.20 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.82/1.20 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.82/1.20 alpha19( X, Y ) }.
% 0.82/1.20 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.82/1.20 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.82/1.20 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.82/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.82/1.20 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.82/1.20 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.82/1.20 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.82/1.20 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.82/1.20 ), alpha8( X ) }.
% 0.82/1.20 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.82/1.20 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.82/1.20 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.82/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.82/1.20 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.82/1.20 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.82/1.20 { succ( tptp_minus_1 ) = n0 }.
% 0.82/1.20 { plus( X, n1 ) = succ( X ) }.
% 0.82/1.20 { plus( n1, X ) = succ( X ) }.
% 0.82/1.20 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.82/1.20 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.82/1.20 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.20 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.20 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.82/1.20 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.82/1.20 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.82/1.20 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.82/1.20 { minus( X, n1 ) = pred( X ) }.
% 0.82/1.20 { pred( succ( X ) ) = X }.
% 0.82/1.20 { succ( pred( X ) ) = X }.
% 0.82/1.20 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.82/1.20 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.82/1.20 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.82/1.20 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.82/1.20 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.82/1.20 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.82/1.20 , Y, V0 ), Z, T ) = W }.
% 0.82/1.20 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.82/1.20 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.82/1.20 }.
% 0.82/1.20 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.82/1.20 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.82/1.20 U, Z, T, W ), X, Y ) = W }.
% 0.82/1.20 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.82/1.20 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.82/1.20 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.20 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.82/1.20 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.82/1.20 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.82/1.20 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.82/1.20 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.82/1.20 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.82/1.20 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.82/1.20 T }.
% 0.82/1.20 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.82/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.20 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.82/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.20 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.82/1.20 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.20 { true }.
% 0.82/1.20 { ! def = use }.
% 0.82/1.20 { leq( n0, pv43 ) }.
% 0.82/1.20 { leq( pv43, minus( n6, n1 ) ) }.
% 0.82/1.20 { lt( n0, a_select2( sigma, pv43 ) ) }.
% 0.82/1.20 { ! true }.
% 0.82/1.20 { gt( n5, n4 ) }.
% 0.82/1.20 { gt( n6, n4 ) }.
% 0.82/1.20 { gt( n6, n5 ) }.
% 0.82/1.20 { gt( n4, tptp_minus_1 ) }.
% 0.82/1.20 { gt( n5, tptp_minus_1 ) }.
% 0.82/1.20 { gt( n6, tptp_minus_1 ) }.
% 0.82/1.20 { gt( n0, tptp_minus_1 ) }.
% 0.82/1.20 { gt( n1, tptp_minus_1 ) }.
% 0.82/1.20 { gt( n2, tptp_minus_1 ) }.
% 0.82/1.20 { gt( n3, tptp_minus_1 ) }.
% 0.82/1.20 { gt( n4, n0 ) }.
% 0.82/1.20 { gt( n5, n0 ) }.
% 0.82/1.20 { gt( n6, n0 ) }.
% 0.82/1.20 { gt( n1, n0 ) }.
% 0.82/1.20 { gt( n2, n0 ) }.
% 0.82/1.20 { gt( n3, n0 ) }.
% 0.82/1.20 { gt( n4, n1 ) }.
% 0.82/1.20 { gt( n5, n1 ) }.
% 0.82/1.20 { gt( n6, n1 ) }.
% 0.82/1.20 { gt( n2, n1 ) }.
% 0.82/1.20 { gt( n3, n1 ) }.
% 0.82/1.20 { gt( n4, n2 ) }.
% 0.82/1.20 { gt( n5, n2 ) }.
% 0.82/1.20 { gt( n6, n2 ) }.
% 0.82/1.20 { gt( n3, n2 ) }.
% 0.82/1.20 { gt( n4, n3 ) }.
% 0.82/1.20 { gt( n5, n3 ) }.
% 0.82/1.20 { gt( n6, n3 ) }.
% 0.82/1.20 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.82/1.20 .
% 0.82/1.20 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.82/1.20 = n5 }.
% 0.82/1.20 { ! leq( n0, X ), ! leq( X, n6 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.82/1.20 = n5, X = n6 }.
% 0.82/1.20 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.82/1.20 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.82/1.20 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.82/1.20 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.82/1.20 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.82/1.20 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.82/1.20 { succ( succ( succ( succ( succ( succ( n0 ) ) ) ) ) ) = n6 }.
% 0.82/1.20 { succ( n0 ) = n1 }.
% 0.82/1.20 { succ( succ( n0 ) ) = n2 }.
% 0.82/1.20 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.82/1.20
% 0.82/1.20 percentage equality = 0.190476, percentage horn = 0.865741
% 0.82/1.20 This is a problem with some equality
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Options Used:
% 0.82/1.20
% 0.82/1.20 useres = 1
% 0.82/1.20 useparamod = 1
% 0.82/1.20 useeqrefl = 1
% 0.82/1.20 useeqfact = 1
% 0.82/1.20 usefactor = 1
% 0.82/1.20 usesimpsplitting = 0
% 0.82/1.20 usesimpdemod = 5
% 0.82/1.20 usesimpres = 3
% 0.82/1.20
% 0.82/1.20 resimpinuse = 1000
% 0.82/1.20 resimpclauses = 20000
% 0.82/1.20 substype = eqrewr
% 0.82/1.20 backwardsubs = 1
% 0.82/1.20 selectoldest = 5
% 0.82/1.20
% 0.82/1.20 litorderings [0] = split
% 0.82/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.20
% 0.82/1.20 termordering = kbo
% 0.82/1.20
% 0.82/1.20 litapriori = 0
% 0.82/1.20 termapriori = 1
% 0.82/1.20 litaposteriori = 0
% 0.82/1.20 termaposteriori = 0
% 0.82/1.20 demodaposteriori = 0
% 0.82/1.20 ordereqreflfact = 0
% 0.82/1.20
% 0.82/1.20 litselect = negord
% 0.82/1.20
% 0.82/1.20 maxweight = 15
% 0.82/1.20 maxdepth = 30000
% 0.82/1.20 maxlength = 115
% 0.82/1.20 maxnrvars = 195
% 0.82/1.20 excuselevel = 1
% 0.82/1.20 increasemaxweight = 1
% 0.82/1.20
% 0.82/1.20 maxselected = 10000000
% 0.82/1.20 maxnrclauses = 10000000
% 0.82/1.20
% 0.82/1.20 showgenerated = 0
% 0.82/1.20 showkept = 0
% 0.82/1.20 showselected = 0
% 0.82/1.20 showdeleted = 0
% 0.82/1.20 showresimp = 1
% 0.82/1.20 showstatus = 2000
% 0.82/1.20
% 0.82/1.20 prologoutput = 0
% 0.82/1.20 nrgoals = 5000000
% 0.82/1.20 totalproof = 1
% 0.82/1.20
% 0.82/1.20 Symbols occurring in the translation:
% 0.82/1.20
% 0.82/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.20 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.82/1.20 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 0.82/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 gt [37, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.82/1.20 leq [39, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.82/1.20 lt [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.82/1.20 geq [41, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.82/1.20 pred [42, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.82/1.20 succ [43, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.82/1.20 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.82/1.20 uniform_int_rnd [46, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.82/1.20 dim [51, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.82/1.20 tptp_const_array1 [52, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.82/1.20 a_select2 [53, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.82/1.20 tptp_const_array2 [59, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.82/1.20 a_select3 [60, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.82/1.20 trans [63, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.82/1.20 inv [64, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.82/1.20 tptp_update3 [67, 4] (w:1, o:155, a:1, s:1, b:0),
% 0.82/1.20 tptp_madd [69, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.82/1.20 tptp_msub [70, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.82/1.20 tptp_mmul [71, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.82/1.20 tptp_minus_1 [77, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.82/1.20 sum [78, 3] (w:1, o:135, a:1, s:1, b:0),
% 0.82/1.20 tptp_float_0_0 [79, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.82/1.20 n1 [80, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.82/1.20 plus [81, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.82/1.20 n2 [82, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.82/1.20 n3 [83, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.82/1.20 n4 [84, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.82/1.20 n5 [85, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.82/1.20 minus [86, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.82/1.20 tptp_update2 [91, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.82/1.20 true [92, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.82/1.20 def [93, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.82/1.20 use [94, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.82/1.20 pv43 [95, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.82/1.20 n6 [96, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.82/1.20 sigma [97, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.82/1.20 alpha1 [98, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.82/1.20 alpha2 [99, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.82/1.20 alpha3 [100, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.82/1.20 alpha4 [101, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.82/1.20 alpha5 [102, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.82/1.20 alpha6 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.82/1.20 alpha7 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.82/1.20 alpha8 [105, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.82/1.20 alpha9 [106, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.82/1.20 alpha10 [107, 3] (w:1, o:140, a:1, s:1, b:1),
% 0.82/1.20 alpha11 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 0.82/1.20 alpha12 [109, 3] (w:1, o:142, a:1, s:1, b:1),
% 0.82/1.20 alpha13 [110, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.82/1.20 alpha14 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.82/1.20 alpha15 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.82/1.20 alpha16 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.82/1.20 alpha17 [114, 3] (w:1, o:143, a:1, s:1, b:1),
% 0.82/1.20 alpha18 [115, 3] (w:1, o:144, a:1, s:1, b:1),
% 0.82/1.20 alpha19 [116, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.82/1.20 alpha20 [117, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.82/1.20 alpha21 [118, 3] (w:1, o:145, a:1, s:1, b:1),
% 0.82/1.20 alpha22 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.82/1.20 alpha23 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.82/1.20 alpha24 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.82/1.20 alpha25 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.82/1.20 alpha26 [123, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.82/1.20 alpha27 [124, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.82/1.20 alpha28 [125, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.82/1.20 alpha29 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.82/1.20 alpha30 [127, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.82/1.20 skol1 [128, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.82/1.20 skol2 [129, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.82/1.20 skol3 [130, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.82/1.20 skol4 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.82/1.20 skol5 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.82/1.20 skol6 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.82/1.20 skol7 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.82/1.20 skol8 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.82/1.20 skol9 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.82/1.20 skol10 [137, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.82/1.20 skol11 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.82/1.20 skol12 [139, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.82/1.20 skol13 [140, 4] (w:1, o:153, a:1, s:1, b:1),
% 0.82/1.20 skol14 [141, 3] (w:1, o:136, a:1, s:1, b:1),
% 0.82/1.20 skol15 [142, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.82/1.20 skol16 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.82/1.20 skol17 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.82/1.20 skol18 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.82/1.20 skol19 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.82/1.20 skol20 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.82/1.20 skol21 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.82/1.20 skol22 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.82/1.20 skol23 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.82/1.20 skol24 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.82/1.20 skol25 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.82/1.20 skol26 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.82/1.20 skol27 [154, 4] (w:1, o:154, a:1, s:1, b:1),
% 0.82/1.20 skol28 [155, 1] (w:1, o:54, a:1, s:1, b:1).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Starting Search:
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for clauses
% 0.82/1.20
% 0.82/1.20 Bliksems!, er is een bewijs:
% 0.82/1.20 % SZS status Theorem
% 0.82/1.20 % SZS output start Refutation
% 0.82/1.20
% 0.82/1.20 (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.82/1.20 (174) {G1,W0,D0,L0,V0,M0} I;r(169) { }.
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 % SZS output end Refutation
% 0.82/1.20 found a proof!
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for termspace/termends
% 0.82/1.20 *** allocated 22500 integers for clauses
% 0.82/1.20
% 0.82/1.20 Unprocessed initial clauses:
% 0.82/1.20
% 0.82/1.20 (176) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.82/1.20 (177) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.82/1.20 (178) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.82/1.20 (179) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.82/1.20 (180) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.82/1.20 (181) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.82/1.20 (182) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.82/1.20 (183) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (184) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.82/1.20 (185) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.82/1.20 (186) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.82/1.20 (187) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.82/1.20 (188) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.82/1.20 (189) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.82/1.20 (190) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.82/1.20 (191) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.82/1.20 (192) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.82/1.20 (193) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ),
% 0.82/1.20 X ) }.
% 0.82/1.20 (194) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X
% 0.82/1.20 ) ) }.
% 0.82/1.20 (195) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.82/1.20 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.82/1.20 (196) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ),
% 0.82/1.20 ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), V0
% 0.82/1.20 ), X, T ) = V0 }.
% 0.82/1.20 (197) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ),
% 0.82/1.20 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.82/1.20 trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.82/1.20 (198) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y )
% 0.82/1.20 ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.82/1.20 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.82/1.20 a_select3( trans( X ), T, Z ) }.
% 0.82/1.20 (199) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.82/1.20 (200) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (201) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (202) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.82/1.20 ), alpha10( X, Y, Z ) }.
% 0.82/1.20 (203) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (204) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (205) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (206) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ),
% 0.82/1.20 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.82/1.20 inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.82/1.20 (207) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y )
% 0.82/1.20 ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.82/1.20 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.82/1.20 a_select3( inv( X ), T, Z ) }.
% 0.82/1.20 (208) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.82/1.20 (209) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (210) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (211) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.82/1.20 ), alpha11( X, Y, Z ) }.
% 0.82/1.20 (212) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (213) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (214) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (215) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ),
% 0.82/1.20 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0,
% 0.82/1.20 U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.82/1.20 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.82/1.20 (216) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y )
% 0.82/1.20 ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.82/1.20 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.82/1.20 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.82/1.20 X, U, U, W ), T, Z ) }.
% 0.82/1.20 (217) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.82/1.20 (218) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (219) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (220) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.82/1.20 ), alpha12( X, Y, Z ) }.
% 0.82/1.20 (221) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (222) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (223) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (224) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.82/1.20 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.82/1.20 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.82/1.20 ), U, T ) }.
% 0.82/1.20 (225) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z )
% 0.82/1.20 , skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq
% 0.82/1.20 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.82/1.20 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.82/1.20 (226) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.82/1.20 (227) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (228) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (229) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.20 X ), alpha22( X, Y, Z ) }.
% 0.82/1.20 (230) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (231) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (232) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (233) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ),
% 0.82/1.20 skol19( X, Y ) ) }.
% 0.82/1.20 (234) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y
% 0.82/1.20 ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.82/1.20 (235) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.82/1.20 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.82/1.20 (236) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.82/1.20 (237) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (238) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (239) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.20 X ), alpha23( X, Y, Z ) }.
% 0.82/1.20 (240) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (241) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (242) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (243) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.82/1.20 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.82/1.20 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.82/1.20 ), U, T ) }.
% 0.82/1.20 (244) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z )
% 0.82/1.20 , skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq
% 0.82/1.20 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.82/1.20 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.82/1.20 (245) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.82/1.20 (246) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (247) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (248) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.20 X ), alpha24( X, Y, Z ) }.
% 0.82/1.20 (249) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (250) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (251) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (252) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ),
% 0.82/1.20 skol21( X, Y ) ) }.
% 0.82/1.20 (253) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y
% 0.82/1.20 ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.82/1.20 (254) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.82/1.20 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.82/1.20 (255) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.82/1.20 (256) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (257) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (258) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.20 X ), alpha25( X, Y, Z ) }.
% 0.82/1.20 (259) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (260) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (261) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (262) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ),
% 0.82/1.20 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.82/1.20 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.82/1.20 ( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.82/1.20 (263) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y )
% 0.82/1.20 ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.82/1.20 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.82/1.20 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.82/1.20 ( X, trans( U ) ) ), T, Z ) }.
% 0.82/1.20 (264) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.82/1.20 (265) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (266) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (267) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.82/1.20 ), alpha17( X, Y, Z ) }.
% 0.82/1.20 (268) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (269) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (270) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (271) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ),
% 0.82/1.20 ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3(
% 0.82/1.20 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.82/1.20 ( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.82/1.20 (272) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y )
% 0.82/1.20 ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.82/1.20 ( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.82/1.20 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.82/1.20 ( X, trans( W ) ) ), T, Z ) }.
% 0.82/1.20 (273) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.82/1.20 (274) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (275) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (276) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.82/1.20 ), alpha18( X, Y, Z ) }.
% 0.82/1.20 (277) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (278) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (279) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (280) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.82/1.20 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.82/1.20 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.82/1.20 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.82/1.20 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.82/1.20 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.82/1.20 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.82/1.20 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.82/1.20 (281) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3( Z
% 0.82/1.20 , skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ), skol10
% 0.82/1.20 ( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T )
% 0.82/1.20 , a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul
% 0.82/1.20 ( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans(
% 0.82/1.20 V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X,
% 0.82/1.20 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.82/1.20 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.82/1.20 ), W, U ) }.
% 0.82/1.20 (282) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.82/1.20 (283) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (284) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (285) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.20 X ), alpha29( X, Y, Z ) }.
% 0.82/1.20 (286) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (287) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (288) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (289) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y )
% 0.82/1.20 , skol25( X, Y ) ) }.
% 0.82/1.20 (290) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.82/1.20 , Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 0.82/1.20 }.
% 0.82/1.20 (291) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.82/1.20 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.82/1.20 (292) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.82/1.20 (293) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (294) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (295) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.20 X ), alpha30( X, Y, Z ) }.
% 0.82/1.20 (296) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (297) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (298) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (299) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.82/1.20 skol26( X, Y ) ) }.
% 0.82/1.20 (300) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y )
% 0.82/1.20 , skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.82/1.20 (301) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3( X
% 0.82/1.20 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.82/1.20 (302) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.82/1.20 (303) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.20 (304) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.20 (305) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.20 X ), alpha28( X, Y, Z ) }.
% 0.82/1.20 (306) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (307) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.82/1.20 (308) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (309) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.82/1.20 (310) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.82/1.20 }.
% 0.82/1.20 (311) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.82/1.20 (312) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.82/1.20 (313) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.82/1.20 (314) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.82/1.20 (315) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.82/1.20 (316) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.20 (317) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.20 (318) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.82/1.20 ) ) }.
% 0.82/1.20 (319) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.82/1.20 ) ) }.
% 0.82/1.20 (320) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.82/1.20 ( X ) ) ) ) ) }.
% 0.82/1.20 (321) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.82/1.20 ( X ) ) ) ) ) }.
% 0.82/1.20 (322) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.82/1.20 (323) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.82/1.20 (324) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.82/1.20 (325) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.82/1.20 (326) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.82/1.20 (327) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.82/1.20 (328) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.82/1.20 (329) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z )
% 0.82/1.20 = T }.
% 0.82/1.20 (330) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.82/1.20 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.82/1.20 (331) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0
% 0.82/1.20 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.82/1.20 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.20 (332) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z,
% 0.82/1.20 T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T )
% 0.82/1.20 , a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.20 (333) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol27
% 0.82/1.20 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.82/1.20 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.20 (334) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.82/1.20 (335) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.82/1.20 (336) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X,
% 0.82/1.20 Y, Z ) }.
% 0.82/1.20 (337) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.82/1.20 (338) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.82/1.20 (339) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y )
% 0.82/1.20 }.
% 0.82/1.20 (340) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.82/1.20 }.
% 0.82/1.20 (341) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.82/1.20 tptp_update2( Z, X, U ), Y ) = T }.
% 0.82/1.20 (342) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X )
% 0.82/1.20 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.20 (343) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ),
% 0.82/1.20 ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.20 (344) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.82/1.20 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.82/1.20 }.
% 0.82/1.20 (345) {G0,W1,D1,L1,V0,M1} { true }.
% 0.82/1.20 (346) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.82/1.20 (347) {G0,W3,D2,L1,V0,M1} { leq( n0, pv43 ) }.
% 0.82/1.20 (348) {G0,W5,D3,L1,V0,M1} { leq( pv43, minus( n6, n1 ) ) }.
% 0.82/1.20 (349) {G0,W5,D3,L1,V0,M1} { lt( n0, a_select2( sigma, pv43 ) ) }.
% 0.82/1.20 (350) {G0,W1,D1,L1,V0,M1} { ! true }.
% 0.82/1.20 (351) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.82/1.20 (352) {G0,W3,D2,L1,V0,M1} { gt( n6, n4 ) }.
% 0.82/1.20 (353) {G0,W3,D2,L1,V0,M1} { gt( n6, n5 ) }.
% 0.82/1.20 (354) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.82/1.20 (355) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.82/1.20 (356) {G0,W3,D2,L1,V0,M1} { gt( n6, tptp_minus_1 ) }.
% 0.82/1.20 (357) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.82/1.20 (358) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.82/1.20 (359) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.82/1.20 (360) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.82/1.20 (361) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.82/1.20 (362) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.82/1.20 (363) {G0,W3,D2,L1,V0,M1} { gt( n6, n0 ) }.
% 0.82/1.20 (364) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.82/1.20 (365) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.82/1.20 (366) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.82/1.20 (367) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.82/1.20 (368) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.82/1.20 (369) {G0,W3,D2,L1,V0,M1} { gt( n6, n1 ) }.
% 0.82/1.20 (370) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.82/1.20 (371) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.82/1.20 (372) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.82/1.20 (373) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.82/1.20 (374) {G0,W3,D2,L1,V0,M1} { gt( n6, n2 ) }.
% 0.82/1.20 (375) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.82/1.20 (376) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.82/1.20 (377) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.82/1.20 (378) {G0,W3,D2,L1,V0,M1} { gt( n6, n3 ) }.
% 0.82/1.20 (379) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.82/1.20 n1, X = n2, X = n3, X = n4 }.
% 0.82/1.20 (380) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.82/1.20 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.82/1.20 (381) {G0,W27,D2,L9,V1,M9} { ! leq( n0, X ), ! leq( X, n6 ), X = n0, X =
% 0.82/1.20 n1, X = n2, X = n3, X = n4, X = n5, X = n6 }.
% 0.82/1.20 (382) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.82/1.20 (383) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.82/1.20 n1 }.
% 0.82/1.20 (384) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.82/1.20 n1, X = n2 }.
% 0.82/1.20 (385) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.82/1.20 n1, X = n2, X = n3 }.
% 0.82/1.20 (386) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.82/1.20 (387) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.82/1.20 n5 }.
% 0.82/1.20 (388) {G0,W9,D8,L1,V0,M1} { succ( succ( succ( succ( succ( succ( n0 ) ) ) )
% 0.82/1.20 ) ) = n6 }.
% 0.82/1.20 (389) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.82/1.20 (390) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.82/1.22 (391) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 Total Proof:
% 0.82/1.22
% 0.82/1.22 *** allocated 22500 integers for termspace/termends
% 0.82/1.22 *** allocated 33750 integers for clauses
% 0.82/1.22 *** allocated 33750 integers for termspace/termends
% 0.82/1.22 subsumption: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.82/1.22 parent0: (345) {G0,W1,D1,L1,V0,M1} { true }.
% 0.82/1.22 substitution0:
% 0.82/1.22 end
% 0.82/1.22 permutation0:
% 0.82/1.22 0 ==> 0
% 0.82/1.22 end
% 0.82/1.22
% 0.82/1.22 *** allocated 50625 integers for termspace/termends
% 0.82/1.22 *** allocated 50625 integers for clauses
% 0.82/1.22 resolution: (1445) {G1,W0,D0,L0,V0,M0} { }.
% 0.82/1.22 parent0[0]: (350) {G0,W1,D1,L1,V0,M1} { ! true }.
% 0.82/1.22 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.82/1.22 substitution0:
% 0.82/1.22 end
% 0.82/1.22 substitution1:
% 0.82/1.22 end
% 0.82/1.22
% 0.82/1.22 subsumption: (174) {G1,W0,D0,L0,V0,M0} I;r(169) { }.
% 0.82/1.22 parent0: (1445) {G1,W0,D0,L0,V0,M0} { }.
% 0.82/1.22 substitution0:
% 0.82/1.22 end
% 0.82/1.22 permutation0:
% 0.82/1.22 end
% 0.82/1.22
% 0.82/1.22 Proof check complete!
% 0.82/1.22
% 0.82/1.22 Memory use:
% 0.82/1.22
% 0.82/1.22 space for terms: 7569
% 0.82/1.22 space for clauses: 10973
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 clauses generated: 175
% 0.82/1.22 clauses kept: 175
% 0.82/1.22 clauses selected: 0
% 0.82/1.22 clauses deleted: 0
% 0.82/1.22 clauses inuse deleted: 0
% 0.82/1.22
% 0.82/1.22 subsentry: 12574
% 0.82/1.22 literals s-matched: 5018
% 0.82/1.22 literals matched: 3382
% 0.82/1.22 full subsumption: 1448
% 0.82/1.22
% 0.82/1.22 checksum: -545540441
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 Bliksem ended
%------------------------------------------------------------------------------