TSTP Solution File: SWV123+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV123+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:35 EDT 2022
% Result : Theorem 0.46s 1.11s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV123+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.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 : Wed Jun 15 03:20:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/1.11 *** allocated 10000 integers for termspace/termends
% 0.46/1.11 *** allocated 10000 integers for clauses
% 0.46/1.11 *** allocated 10000 integers for justifications
% 0.46/1.11 Bliksem 1.12
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Automatic Strategy Selection
% 0.46/1.11
% 0.46/1.11 *** allocated 15000 integers for termspace/termends
% 0.46/1.11
% 0.46/1.11 Clauses:
% 0.46/1.11
% 0.46/1.11 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.46/1.11 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.46/1.11 { ! gt( X, X ) }.
% 0.46/1.11 { leq( X, X ) }.
% 0.46/1.11 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.46/1.11 { ! lt( X, Y ), gt( Y, X ) }.
% 0.46/1.11 { ! gt( Y, X ), lt( X, Y ) }.
% 0.46/1.11 { ! geq( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( Y, X ), geq( X, Y ) }.
% 0.46/1.11 { ! gt( Y, X ), leq( X, Y ) }.
% 0.46/1.11 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.46/1.11 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.46/1.11 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.46/1.11 { gt( succ( X ), X ) }.
% 0.46/1.11 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.46/1.11 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.46/1.11 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.46/1.11 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.46/1.11 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.46/1.11 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.46/1.11 T ), X ) = T }.
% 0.46/1.11 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.46/1.11 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.46/1.11 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.46/1.11 a_select3( trans( X ), T, Z ) }.
% 0.46/1.11 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.46/1.11 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.11 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.46/1.11 ) }.
% 0.46/1.11 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.46/1.11 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.46/1.11 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.46/1.11 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.46/1.11 a_select3( inv( X ), T, Z ) }.
% 0.46/1.11 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.46/1.11 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.11 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.46/1.11 .
% 0.46/1.11 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.46/1.11 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.46/1.11 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.46/1.11 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.11 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.46/1.11 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.46/1.11 X, U, U, W ), T, Z ) }.
% 0.46/1.11 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.46/1.11 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.11 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.46/1.11 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.46/1.11 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.46/1.11 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.46/1.11 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.46/1.11 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.46/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.46/1.11 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.46/1.11 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.46/1.11 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.46/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.46/1.11 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.46/1.11 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.46/1.11 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.46/1.11 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.46/1.11 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.46/1.11 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.46/1.11 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.46/1.11 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.46/1.11 ( X, Y ) }.
% 0.46/1.11 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.46/1.11 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.46/1.11 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.46/1.11 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.46/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.46/1.11 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.46/1.11 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.46/1.11 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.46/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.46/1.11 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.46/1.11 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.46/1.11 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.46/1.11 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.46/1.11 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.46/1.11 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.46/1.11 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.46/1.11 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.46/1.11 ( X, Y ) }.
% 0.46/1.11 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.46/1.11 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.46/1.11 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.46/1.11 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.46/1.11 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.46/1.11 U ) ) ), T, Z ) }.
% 0.46/1.11 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.46/1.11 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.11 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.46/1.11 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.46/1.11 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.46/1.11 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.46/1.11 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.46/1.11 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.46/1.11 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.46/1.11 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.46/1.11 W ) ) ), T, Z ) }.
% 0.46/1.11 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.46/1.11 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.46/1.11 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.46/1.11 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.46/1.11 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.46/1.11 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.46/1.11 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.46/1.11 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.46/1.11 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.46/1.11 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.46/1.11 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.46/1.11 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.46/1.11 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.46/1.11 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.46/1.11 ) }.
% 0.46/1.11 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.46/1.11 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.46/1.11 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.46/1.11 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.46/1.11 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.46/1.11 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.46/1.11 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.46/1.11 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.46/1.11 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.46/1.11 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.46/1.11 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.46/1.11 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.46/1.11 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.46/1.11 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.46/1.11 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.46/1.11 alpha19( X, Y ) }.
% 0.46/1.11 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.46/1.11 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.46/1.11 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.46/1.11 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.46/1.11 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.46/1.11 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.46/1.11 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.46/1.11 ), alpha8( X ) }.
% 0.46/1.11 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.46/1.11 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.46/1.11 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.46/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.46/1.11 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.46/1.11 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.46/1.11 { succ( tptp_minus_1 ) = n0 }.
% 0.46/1.11 { plus( X, n1 ) = succ( X ) }.
% 0.46/1.11 { plus( n1, X ) = succ( X ) }.
% 0.46/1.11 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.46/1.11 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.46/1.11 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.11 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.11 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.46/1.11 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.46/1.11 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.46/1.11 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.46/1.11 { minus( X, n1 ) = pred( X ) }.
% 0.46/1.11 { pred( succ( X ) ) = X }.
% 0.46/1.11 { succ( pred( X ) ) = X }.
% 0.46/1.11 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.46/1.11 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.46/1.11 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.46/1.11 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.46/1.11 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.46/1.11 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.46/1.11 , Y, V0 ), Z, T ) = W }.
% 0.46/1.11 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.46/1.11 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.46/1.11 }.
% 0.46/1.11 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.46/1.11 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.46/1.11 U, Z, T, W ), X, Y ) = W }.
% 0.46/1.11 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.46/1.11 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.46/1.11 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.46/1.11 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.46/1.11 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.46/1.11 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.46/1.11 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.46/1.11 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.46/1.11 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.46/1.11 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.46/1.11 T }.
% 0.46/1.11 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.46/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.11 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.46/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.11 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.46/1.11 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.11 { true }.
% 0.46/1.11 { ! def = use }.
% 0.46/1.11 { geq( minus( n3, n1 ), n0 ) }.
% 0.46/1.11 { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 { geq( n2, n0 ) }.
% 0.46/1.11 { geq( minus( n999, n1 ), n0 ) }.
% 0.46/1.11 { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 { geq( minus( n3, n1 ), n0 ) }.
% 0.46/1.11 { geq( minus( n999, n1 ), n0 ) }.
% 0.46/1.11 { ! true }.
% 0.46/1.11 { gt( n5, n4 ) }.
% 0.46/1.11 { gt( n6, n4 ) }.
% 0.46/1.11 { gt( n999, n4 ) }.
% 0.46/1.11 { gt( n6, n5 ) }.
% 0.46/1.11 { gt( n999, n5 ) }.
% 0.46/1.11 { gt( n999, n6 ) }.
% 0.46/1.11 { gt( n4, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n5, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n6, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n999, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n0, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n1, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n2, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n3, tptp_minus_1 ) }.
% 0.46/1.11 { gt( n4, n0 ) }.
% 0.46/1.11 { gt( n5, n0 ) }.
% 0.46/1.11 { gt( n6, n0 ) }.
% 0.46/1.11 { gt( n999, n0 ) }.
% 0.46/1.11 { gt( n1, n0 ) }.
% 0.46/1.11 { gt( n2, n0 ) }.
% 0.46/1.11 { gt( n3, n0 ) }.
% 0.46/1.11 { gt( n4, n1 ) }.
% 0.46/1.11 { gt( n5, n1 ) }.
% 0.46/1.11 { gt( n6, n1 ) }.
% 0.46/1.11 { gt( n999, n1 ) }.
% 0.46/1.11 { gt( n2, n1 ) }.
% 0.46/1.11 { gt( n3, n1 ) }.
% 0.46/1.11 { gt( n4, n2 ) }.
% 0.46/1.11 { gt( n5, n2 ) }.
% 0.46/1.11 { gt( n6, n2 ) }.
% 0.46/1.11 { gt( n999, n2 ) }.
% 0.46/1.11 { gt( n3, n2 ) }.
% 0.46/1.11 { gt( n4, n3 ) }.
% 0.46/1.11 { gt( n5, n3 ) }.
% 0.46/1.11 { gt( n6, n3 ) }.
% 0.46/1.11 { gt( n999, n3 ) }.
% 0.46/1.11 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.46/1.11 .
% 0.46/1.11 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.46/1.11 = n5 }.
% 0.46/1.11 { ! leq( n0, X ), ! leq( X, n6 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.46/1.11 = n5, X = n6 }.
% 0.46/1.11 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.46/1.11 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.46/1.11 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.46/1.11 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.46/1.11 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.46/1.11 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.46/1.11 { succ( succ( succ( succ( succ( succ( n0 ) ) ) ) ) ) = n6 }.
% 0.46/1.11 { succ( n0 ) = n1 }.
% 0.46/1.11 { succ( succ( n0 ) ) = n2 }.
% 0.46/1.11 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.46/1.11
% 0.46/1.11 percentage equality = 0.187387, percentage horn = 0.871111
% 0.46/1.11 This is a problem with some equality
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Options Used:
% 0.46/1.11
% 0.46/1.11 useres = 1
% 0.46/1.11 useparamod = 1
% 0.46/1.11 useeqrefl = 1
% 0.46/1.11 useeqfact = 1
% 0.46/1.11 usefactor = 1
% 0.46/1.11 usesimpsplitting = 0
% 0.46/1.11 usesimpdemod = 5
% 0.46/1.11 usesimpres = 3
% 0.46/1.11
% 0.46/1.11 resimpinuse = 1000
% 0.46/1.11 resimpclauses = 20000
% 0.46/1.11 substype = eqrewr
% 0.46/1.11 backwardsubs = 1
% 0.46/1.11 selectoldest = 5
% 0.46/1.11
% 0.46/1.11 litorderings [0] = split
% 0.46/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.11
% 0.46/1.11 termordering = kbo
% 0.46/1.11
% 0.46/1.11 litapriori = 0
% 0.46/1.11 termapriori = 1
% 0.46/1.11 litaposteriori = 0
% 0.46/1.11 termaposteriori = 0
% 0.46/1.11 demodaposteriori = 0
% 0.46/1.11 ordereqreflfact = 0
% 0.46/1.11
% 0.46/1.11 litselect = negord
% 0.46/1.11
% 0.46/1.11 maxweight = 15
% 0.46/1.11 maxdepth = 30000
% 0.46/1.11 maxlength = 115
% 0.46/1.11 maxnrvars = 195
% 0.46/1.11 excuselevel = 1
% 0.46/1.11 increasemaxweight = 1
% 0.46/1.11
% 0.46/1.11 maxselected = 10000000
% 0.46/1.11 maxnrclauses = 10000000
% 0.46/1.11
% 0.46/1.11 showgenerated = 0
% 0.46/1.11 showkept = 0
% 0.46/1.11 showselected = 0
% 0.46/1.11 showdeleted = 0
% 0.46/1.11 showresimp = 1
% 0.46/1.11 showstatus = 2000
% 0.46/1.11
% 0.46/1.11 prologoutput = 0
% 0.46/1.11 nrgoals = 5000000
% 0.46/1.11 totalproof = 1
% 0.46/1.11
% 0.46/1.11 Symbols occurring in the translation:
% 0.46/1.11
% 0.46/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.11 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.46/1.11 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 0.46/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.11 gt [37, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.46/1.11 leq [39, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.46/1.11 lt [40, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.46/1.11 geq [41, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.46/1.11 pred [42, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.46/1.11 succ [43, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.46/1.11 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.46/1.11 uniform_int_rnd [46, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.46/1.11 dim [51, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.46/1.11 tptp_const_array1 [52, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.46/1.11 a_select2 [53, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.46/1.11 tptp_const_array2 [59, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.46/1.11 a_select3 [60, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.46/1.11 trans [63, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.46/1.11 inv [64, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.46/1.11 tptp_update3 [67, 4] (w:1, o:154, a:1, s:1, b:0),
% 0.46/1.11 tptp_madd [69, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.46/1.11 tptp_msub [70, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.46/1.11 tptp_mmul [71, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.46/1.11 tptp_minus_1 [77, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.46/1.11 sum [78, 3] (w:1, o:134, a:1, s:1, b:0),
% 0.46/1.11 tptp_float_0_0 [79, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.46/1.11 n1 [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.46/1.11 plus [81, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.46/1.11 n2 [82, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.46/1.11 n3 [83, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.46/1.11 n4 [84, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.46/1.11 n5 [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.46/1.11 minus [86, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.46/1.11 tptp_update2 [91, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.46/1.11 true [92, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.46/1.11 def [93, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.46/1.11 use [94, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.46/1.11 n6 [95, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.46/1.11 n999 [96, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.46/1.11 alpha1 [97, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.46/1.11 alpha2 [98, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.46/1.11 alpha3 [99, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.46/1.11 alpha4 [100, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.46/1.11 alpha5 [101, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.46/1.11 alpha6 [102, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.46/1.11 alpha7 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.46/1.11 alpha8 [104, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.46/1.11 alpha9 [105, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.46/1.11 alpha10 [106, 3] (w:1, o:139, a:1, s:1, b:1),
% 0.46/1.11 alpha11 [107, 3] (w:1, o:140, a:1, s:1, b:1),
% 0.46/1.11 alpha12 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 0.46/1.11 alpha13 [109, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.46/1.11 alpha14 [110, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.46/1.11 alpha15 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.46/1.11 alpha16 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.46/1.11 alpha17 [113, 3] (w:1, o:142, a:1, s:1, b:1),
% 0.46/1.11 alpha18 [114, 3] (w:1, o:143, a:1, s:1, b:1),
% 0.46/1.11 alpha19 [115, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.46/1.11 alpha20 [116, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.46/1.11 alpha21 [117, 3] (w:1, o:144, a:1, s:1, b:1),
% 0.46/1.11 alpha22 [118, 3] (w:1, o:145, a:1, s:1, b:1),
% 0.46/1.11 alpha23 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.46/1.11 alpha24 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.46/1.11 alpha25 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.46/1.11 alpha26 [122, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.46/1.11 alpha27 [123, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.46/1.11 alpha28 [124, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.46/1.11 alpha29 [125, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.46/1.11 alpha30 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.46/1.11 skol1 [127, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.46/1.11 skol2 [128, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.46/1.11 skol3 [129, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.46/1.11 skol4 [130, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.46/1.11 skol5 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.46/1.11 skol6 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.46/1.11 skol7 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.46/1.11 skol8 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.46/1.11 skol9 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.46/1.11 skol10 [136, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.46/1.11 skol11 [137, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.46/1.11 skol12 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.46/1.11 skol13 [139, 4] (w:1, o:152, a:1, s:1, b:1),
% 0.46/1.11 skol14 [140, 3] (w:1, o:135, a:1, s:1, b:1),
% 0.46/1.11 skol15 [141, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.46/1.11 skol16 [142, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.46/1.11 skol17 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.46/1.11 skol18 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.46/1.11 skol19 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.46/1.11 skol20 [146, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.46/1.11 skol21 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.46/1.11 skol22 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.46/1.11 skol23 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.46/1.11 skol24 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.46/1.11 skol25 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.46/1.11 skol26 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.46/1.11 skol27 [153, 4] (w:1, o:153, a:1, s:1, b:1),
% 0.46/1.11 skol28 [154, 1] (w:1, o:53, a:1, s:1, b:1).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Starting Search:
% 0.46/1.11
% 0.46/1.11 *** allocated 15000 integers for clauses
% 0.46/1.11
% 0.46/1.11 Bliksems!, er is een bewijs:
% 0.46/1.11 % SZS status Theorem
% 0.46/1.11 % SZS output start Refutation
% 0.46/1.11
% 0.46/1.11 (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.46/1.11 (175) {G1,W0,D0,L0,V0,M0} I;r(169) { }.
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 % SZS output end Refutation
% 0.46/1.11 found a proof!
% 0.46/1.11
% 0.46/1.11 *** allocated 22500 integers for clauses
% 0.46/1.11
% 0.46/1.11 Unprocessed initial clauses:
% 0.46/1.11
% 0.46/1.11 (177) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.46/1.11 (178) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.46/1.11 (179) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.46/1.11 (180) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.46/1.11 (181) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.46/1.11 (182) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.46/1.11 (183) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.46/1.11 (184) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (185) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.46/1.11 (186) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.46/1.11 (187) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.46/1.11 (188) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.46/1.11 (189) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.46/1.11 (190) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.46/1.11 (191) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.46/1.11 (192) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.46/1.11 (193) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.46/1.11 (194) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ),
% 0.46/1.11 X ) }.
% 0.46/1.11 (195) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X
% 0.46/1.11 ) ) }.
% 0.46/1.11 (196) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.46/1.11 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.46/1.11 (197) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ),
% 0.46/1.11 ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), V0
% 0.46/1.11 ), X, T ) = V0 }.
% 0.46/1.11 (198) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ),
% 0.46/1.11 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.46/1.11 trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.46/1.11 (199) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y )
% 0.46/1.11 ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.46/1.11 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.46/1.11 a_select3( trans( X ), T, Z ) }.
% 0.46/1.11 (200) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.46/1.11 (201) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (202) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (203) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.46/1.11 ), alpha10( X, Y, Z ) }.
% 0.46/1.11 (204) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (205) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (206) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (207) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ),
% 0.46/1.11 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.46/1.11 inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.46/1.11 (208) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y )
% 0.46/1.11 ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.46/1.11 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.46/1.11 a_select3( inv( X ), T, Z ) }.
% 0.46/1.11 (209) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.46/1.11 (210) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (211) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (212) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.46/1.11 ), alpha11( X, Y, Z ) }.
% 0.46/1.11 (213) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (214) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (215) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (216) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ),
% 0.46/1.11 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0,
% 0.46/1.11 U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.46/1.11 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.46/1.11 (217) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y )
% 0.46/1.11 ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.46/1.11 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.46/1.11 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.46/1.11 X, U, U, W ), T, Z ) }.
% 0.46/1.11 (218) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.46/1.11 (219) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (220) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (221) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.46/1.11 ), alpha12( X, Y, Z ) }.
% 0.46/1.11 (222) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (223) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (224) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (225) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.46/1.11 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.46/1.11 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.46/1.11 ), U, T ) }.
% 0.46/1.11 (226) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z )
% 0.46/1.11 , skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq
% 0.46/1.11 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.46/1.11 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.46/1.11 (227) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.46/1.11 (228) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (229) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (230) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.46/1.11 X ), alpha22( X, Y, Z ) }.
% 0.46/1.11 (231) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (232) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (233) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (234) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ),
% 0.46/1.11 skol19( X, Y ) ) }.
% 0.46/1.11 (235) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y
% 0.46/1.11 ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.46/1.11 (236) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.46/1.11 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.46/1.11 (237) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.46/1.11 (238) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (239) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (240) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.46/1.11 X ), alpha23( X, Y, Z ) }.
% 0.46/1.11 (241) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (242) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (243) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (244) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.46/1.11 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.46/1.11 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.46/1.11 ), U, T ) }.
% 0.46/1.11 (245) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z )
% 0.46/1.11 , skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq
% 0.46/1.11 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.46/1.11 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.46/1.11 (246) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.46/1.11 (247) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (248) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (249) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.46/1.11 X ), alpha24( X, Y, Z ) }.
% 0.46/1.11 (250) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (251) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (252) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (253) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ),
% 0.46/1.11 skol21( X, Y ) ) }.
% 0.46/1.11 (254) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y
% 0.46/1.11 ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.46/1.11 (255) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.46/1.11 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.46/1.11 (256) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.46/1.11 (257) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (258) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (259) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.46/1.11 X ), alpha25( X, Y, Z ) }.
% 0.46/1.11 (260) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (261) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (262) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (263) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ),
% 0.46/1.11 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.46/1.11 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.46/1.11 ( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.46/1.11 (264) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y )
% 0.46/1.11 ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.46/1.11 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.46/1.11 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.46/1.11 ( X, trans( U ) ) ), T, Z ) }.
% 0.46/1.11 (265) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.46/1.11 (266) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (267) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (268) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.46/1.11 ), alpha17( X, Y, Z ) }.
% 0.46/1.11 (269) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (270) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (271) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (272) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ),
% 0.46/1.11 ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3(
% 0.46/1.11 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.46/1.11 ( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.46/1.11 (273) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y )
% 0.46/1.11 ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.46/1.11 ( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.46/1.11 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.46/1.11 ( X, trans( W ) ) ), T, Z ) }.
% 0.46/1.11 (274) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.46/1.11 (275) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (276) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (277) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.46/1.11 ), alpha18( X, Y, Z ) }.
% 0.46/1.11 (278) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (279) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (280) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (281) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.46/1.11 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.46/1.11 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.46/1.11 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.46/1.11 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.46/1.11 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.46/1.11 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.46/1.11 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.46/1.11 (282) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3( Z
% 0.46/1.11 , skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ), skol10
% 0.46/1.11 ( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T )
% 0.46/1.11 , a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul
% 0.46/1.11 ( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans(
% 0.46/1.11 V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X,
% 0.46/1.11 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.46/1.11 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.46/1.11 ), W, U ) }.
% 0.46/1.11 (283) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.46/1.11 (284) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (285) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (286) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.46/1.11 X ), alpha29( X, Y, Z ) }.
% 0.46/1.11 (287) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (288) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (289) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (290) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y )
% 0.46/1.11 , skol25( X, Y ) ) }.
% 0.46/1.11 (291) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.46/1.11 , Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 0.46/1.11 }.
% 0.46/1.11 (292) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.46/1.11 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.46/1.11 (293) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.46/1.11 (294) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (295) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (296) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.46/1.11 X ), alpha30( X, Y, Z ) }.
% 0.46/1.11 (297) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (298) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (299) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (300) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.46/1.11 skol26( X, Y ) ) }.
% 0.46/1.11 (301) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y )
% 0.46/1.11 , skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.46/1.11 (302) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3( X
% 0.46/1.11 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.46/1.11 (303) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.46/1.11 (304) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.11 (305) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.11 (306) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.46/1.11 X ), alpha28( X, Y, Z ) }.
% 0.46/1.11 (307) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (308) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.46/1.11 (309) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (310) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.46/1.11 (311) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.46/1.11 }.
% 0.46/1.11 (312) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.46/1.11 (313) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.46/1.11 (314) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.46/1.11 (315) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.46/1.11 (316) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.46/1.11 (317) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.11 (318) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.11 (319) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.46/1.11 ) ) }.
% 0.46/1.11 (320) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.46/1.11 ) ) }.
% 0.46/1.11 (321) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.46/1.11 ( X ) ) ) ) ) }.
% 0.46/1.11 (322) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.46/1.11 ( X ) ) ) ) ) }.
% 0.46/1.11 (323) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.46/1.11 (324) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.46/1.11 (325) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.46/1.11 (326) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.46/1.11 (327) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.46/1.11 (328) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.46/1.11 (329) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.46/1.11 (330) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z )
% 0.46/1.11 = T }.
% 0.46/1.11 (331) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.46/1.11 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.46/1.11 (332) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0
% 0.46/1.11 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.46/1.11 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.46/1.11 (333) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z,
% 0.46/1.11 T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T )
% 0.46/1.11 , a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.46/1.11 (334) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol27
% 0.46/1.11 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.46/1.11 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.46/1.11 (335) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.46/1.11 (336) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.46/1.11 (337) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X,
% 0.46/1.11 Y, Z ) }.
% 0.46/1.11 (338) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.46/1.11 (339) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.46/1.11 (340) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y )
% 0.46/1.11 }.
% 0.46/1.11 (341) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.46/1.11 }.
% 0.46/1.11 (342) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.46/1.11 tptp_update2( Z, X, U ), Y ) = T }.
% 0.46/1.11 (343) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X )
% 0.46/1.11 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.11 (344) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ),
% 0.46/1.11 ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.11 (345) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.46/1.11 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.46/1.11 }.
% 0.46/1.11 (346) {G0,W1,D1,L1,V0,M1} { true }.
% 0.46/1.11 (347) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.46/1.11 (348) {G0,W5,D3,L1,V0,M1} { geq( minus( n3, n1 ), n0 ) }.
% 0.46/1.11 (349) {G0,W5,D3,L1,V0,M1} { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 (350) {G0,W3,D2,L1,V0,M1} { geq( n2, n0 ) }.
% 0.46/1.11 (351) {G0,W5,D3,L1,V0,M1} { geq( minus( n999, n1 ), n0 ) }.
% 0.46/1.11 (352) {G0,W5,D3,L1,V0,M1} { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 (353) {G0,W5,D3,L1,V0,M1} { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 (354) {G0,W5,D3,L1,V0,M1} { geq( minus( n6, n1 ), n0 ) }.
% 0.46/1.11 (355) {G0,W5,D3,L1,V0,M1} { geq( minus( n3, n1 ), n0 ) }.
% 0.46/1.11 (356) {G0,W5,D3,L1,V0,M1} { geq( minus( n999, n1 ), n0 ) }.
% 0.46/1.11 (357) {G0,W1,D1,L1,V0,M1} { ! true }.
% 0.46/1.11 (358) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.46/1.11 (359) {G0,W3,D2,L1,V0,M1} { gt( n6, n4 ) }.
% 0.46/1.11 (360) {G0,W3,D2,L1,V0,M1} { gt( n999, n4 ) }.
% 0.46/1.11 (361) {G0,W3,D2,L1,V0,M1} { gt( n6, n5 ) }.
% 0.46/1.11 (362) {G0,W3,D2,L1,V0,M1} { gt( n999, n5 ) }.
% 0.46/1.11 (363) {G0,W3,D2,L1,V0,M1} { gt( n999, n6 ) }.
% 0.46/1.11 (364) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.46/1.11 (365) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.46/1.11 (366) {G0,W3,D2,L1,V0,M1} { gt( n6, tptp_minus_1 ) }.
% 0.46/1.11 (367) {G0,W3,D2,L1,V0,M1} { gt( n999, tptp_minus_1 ) }.
% 0.46/1.11 (368) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.46/1.11 (369) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.46/1.11 (370) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.46/1.11 (371) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.46/1.11 (372) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.46/1.11 (373) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.46/1.11 (374) {G0,W3,D2,L1,V0,M1} { gt( n6, n0 ) }.
% 0.46/1.11 (375) {G0,W3,D2,L1,V0,M1} { gt( n999, n0 ) }.
% 0.46/1.11 (376) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.46/1.11 (377) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.46/1.11 (378) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.46/1.11 (379) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.46/1.11 (380) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.46/1.11 (381) {G0,W3,D2,L1,V0,M1} { gt( n6, n1 ) }.
% 0.46/1.11 (382) {G0,W3,D2,L1,V0,M1} { gt( n999, n1 ) }.
% 0.46/1.11 (383) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.46/1.11 (384) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.46/1.11 (385) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.46/1.11 (386) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.46/1.11 (387) {G0,W3,D2,L1,V0,M1} { gt( n6, n2 ) }.
% 0.46/1.11 (388) {G0,W3,D2,L1,V0,M1} { gt( n999, n2 ) }.
% 0.46/1.11 (389) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.46/1.11 (390) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.46/1.11 (391) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.46/1.11 (392) {G0,W3,D2,L1,V0,M1} { gt( n6, n3 ) }.
% 0.46/1.11 (393) {G0,W3,D2,L1,V0,M1} { gt( n999, n3 ) }.
% 0.46/1.13 (394) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.46/1.13 n1, X = n2, X = n3, X = n4 }.
% 0.46/1.13 (395) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.46/1.13 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.46/1.13 (396) {G0,W27,D2,L9,V1,M9} { ! leq( n0, X ), ! leq( X, n6 ), X = n0, X =
% 0.46/1.13 n1, X = n2, X = n3, X = n4, X = n5, X = n6 }.
% 0.46/1.13 (397) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.46/1.13 (398) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.46/1.13 n1 }.
% 0.46/1.13 (399) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.46/1.13 n1, X = n2 }.
% 0.46/1.13 (400) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.46/1.13 n1, X = n2, X = n3 }.
% 0.46/1.13 (401) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.46/1.13 (402) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.46/1.13 n5 }.
% 0.46/1.13 (403) {G0,W9,D8,L1,V0,M1} { succ( succ( succ( succ( succ( succ( n0 ) ) ) )
% 0.46/1.13 ) ) = n6 }.
% 0.46/1.13 (404) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.46/1.13 (405) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.46/1.13 (406) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.46/1.13
% 0.46/1.13
% 0.46/1.13 Total Proof:
% 0.46/1.13
% 0.46/1.13 *** allocated 22500 integers for termspace/termends
% 0.46/1.13 *** allocated 33750 integers for clauses
% 0.46/1.13 *** allocated 33750 integers for termspace/termends
% 0.46/1.13 subsumption: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.46/1.13 parent0: (346) {G0,W1,D1,L1,V0,M1} { true }.
% 0.46/1.13 substitution0:
% 0.46/1.13 end
% 0.46/1.13 permutation0:
% 0.46/1.13 0 ==> 0
% 0.46/1.13 end
% 0.46/1.13
% 0.46/1.13 *** allocated 50625 integers for termspace/termends
% 0.46/1.13 *** allocated 50625 integers for clauses
% 0.46/1.13 resolution: (1460) {G1,W0,D0,L0,V0,M0} { }.
% 0.46/1.13 parent0[0]: (357) {G0,W1,D1,L1,V0,M1} { ! true }.
% 0.46/1.13 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.46/1.13 substitution0:
% 0.46/1.13 end
% 0.46/1.13 substitution1:
% 0.46/1.13 end
% 0.46/1.13
% 0.46/1.13 subsumption: (175) {G1,W0,D0,L0,V0,M0} I;r(169) { }.
% 0.46/1.13 parent0: (1460) {G1,W0,D0,L0,V0,M0} { }.
% 0.46/1.13 substitution0:
% 0.46/1.13 end
% 0.46/1.13 permutation0:
% 0.46/1.13 end
% 0.46/1.13
% 0.46/1.13 Proof check complete!
% 0.46/1.13
% 0.46/1.13 Memory use:
% 0.46/1.13
% 0.46/1.13 space for terms: 7714
% 0.46/1.13 space for clauses: 11016
% 0.46/1.13
% 0.46/1.13
% 0.46/1.13 clauses generated: 181
% 0.46/1.13 clauses kept: 176
% 0.46/1.13 clauses selected: 0
% 0.46/1.13 clauses deleted: 0
% 0.46/1.13 clauses inuse deleted: 0
% 0.46/1.13
% 0.46/1.13 subsentry: 12570
% 0.46/1.13 literals s-matched: 5023
% 0.46/1.13 literals matched: 3387
% 0.46/1.13 full subsumption: 1448
% 0.46/1.13
% 0.46/1.13 checksum: -893952731
% 0.46/1.13
% 0.46/1.13
% 0.46/1.13 Bliksem ended
%------------------------------------------------------------------------------