%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV121+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:34 EDT 2022
% Result : Theorem 0.86s 1.25s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV121+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 18:38:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.86/1.25 *** allocated 10000 integers for termspace/termends
% 0.86/1.25 *** allocated 10000 integers for clauses
% 0.86/1.25 *** allocated 10000 integers for justifications
% 0.86/1.25 Bliksem 1.12
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 Automatic Strategy Selection
% 0.86/1.25
% 0.86/1.25 *** allocated 15000 integers for termspace/termends
% 0.86/1.25
% 0.86/1.25 Clauses:
% 0.86/1.25
% 0.86/1.25 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.86/1.25 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.86/1.25 { ! gt( X, X ) }.
% 0.86/1.25 { leq( X, X ) }.
% 0.86/1.25 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.86/1.25 { ! lt( X, Y ), gt( Y, X ) }.
% 0.86/1.25 { ! gt( Y, X ), lt( X, Y ) }.
% 0.86/1.25 { ! geq( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( Y, X ), geq( X, Y ) }.
% 0.86/1.25 { ! gt( Y, X ), leq( X, Y ) }.
% 0.86/1.25 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.86/1.25 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.86/1.25 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.86/1.25 { gt( succ( X ), X ) }.
% 0.86/1.25 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.86/1.25 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.86/1.25 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.86/1.25 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.86/1.25 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.86/1.25 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.86/1.25 T ), X ) = T }.
% 0.86/1.25 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.86/1.25 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.86/1.25 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.86/1.25 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.86/1.25 a_select3( trans( X ), T, Z ) }.
% 0.86/1.25 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.86/1.25 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.86/1.25 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.86/1.25 ) }.
% 0.86/1.25 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.86/1.25 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.86/1.25 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.86/1.25 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.86/1.25 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.86/1.25 a_select3( inv( X ), T, Z ) }.
% 0.86/1.25 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.86/1.25 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.86/1.25 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.86/1.25 .
% 0.86/1.25 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.86/1.25 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.86/1.25 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.86/1.25 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.86/1.25 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.86/1.25 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.86/1.25 X, U, U, W ), T, Z ) }.
% 0.86/1.25 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.86/1.25 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.86/1.25 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.86/1.25 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.86/1.25 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.86/1.25 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.86/1.25 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.86/1.25 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.86/1.25 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.86/1.25 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.86/1.25 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.86/1.25 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.86/1.25 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.86/1.25 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.86/1.25 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.86/1.25 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.86/1.25 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.86/1.25 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.86/1.25 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.86/1.25 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.86/1.25 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.86/1.25 ( X, Y ) }.
% 0.86/1.25 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.86/1.25 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.86/1.25 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.86/1.25 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.86/1.25 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.86/1.25 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.86/1.25 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.86/1.25 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.86/1.25 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.86/1.25 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.86/1.25 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.86/1.25 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.86/1.25 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.86/1.25 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.86/1.25 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.86/1.25 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.86/1.25 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.86/1.25 ( X, Y ) }.
% 0.86/1.25 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.86/1.25 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.86/1.25 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.86/1.25 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.86/1.25 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.86/1.25 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.86/1.25 U ) ) ), T, Z ) }.
% 0.86/1.25 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.86/1.25 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.86/1.25 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.86/1.25 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.86/1.25 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.86/1.25 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.86/1.25 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.86/1.25 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.86/1.25 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.86/1.25 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.86/1.25 W ) ) ), T, Z ) }.
% 0.86/1.25 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.86/1.25 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.86/1.25 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.86/1.25 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.86/1.25 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.86/1.25 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.86/1.25 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.86/1.25 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.86/1.25 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.86/1.25 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.86/1.25 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.86/1.25 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.86/1.25 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.86/1.25 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.86/1.25 ) }.
% 0.86/1.25 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.86/1.25 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.86/1.25 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.86/1.25 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.86/1.25 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.86/1.25 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.86/1.25 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.86/1.25 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.86/1.25 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.86/1.25 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.86/1.25 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.86/1.25 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.86/1.25 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.86/1.25 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.86/1.25 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.86/1.25 alpha19( X, Y ) }.
% 0.86/1.25 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.86/1.25 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.86/1.25 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.86/1.25 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.86/1.25 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.86/1.25 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.86/1.25 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.86/1.25 ), alpha8( X ) }.
% 0.86/1.25 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.86/1.25 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.86/1.25 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.86/1.25 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.86/1.25 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.86/1.25 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.86/1.25 { succ( tptp_minus_1 ) = n0 }.
% 0.86/1.25 { plus( X, n1 ) = succ( X ) }.
% 0.86/1.25 { plus( n1, X ) = succ( X ) }.
% 0.86/1.25 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.86/1.25 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.86/1.25 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.86/1.25 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.86/1.25 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.86/1.25 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.86/1.25 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.86/1.25 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.86/1.25 { minus( X, n1 ) = pred( X ) }.
% 0.86/1.25 { pred( succ( X ) ) = X }.
% 0.86/1.25 { succ( pred( X ) ) = X }.
% 0.86/1.25 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.86/1.25 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.86/1.25 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.86/1.25 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.86/1.25 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.86/1.25 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.86/1.25 , Y, V0 ), Z, T ) = W }.
% 0.86/1.25 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.86/1.25 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.86/1.25 }.
% 0.86/1.25 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.86/1.25 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.86/1.25 U, Z, T, W ), X, Y ) = W }.
% 0.86/1.25 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.86/1.25 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.86/1.25 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.86/1.25 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.86/1.25 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.86/1.25 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.86/1.25 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.86/1.25 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.86/1.25 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.86/1.25 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.86/1.25 T }.
% 0.86/1.25 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.86/1.25 tptp_update2( Z, Y, T ), X ) = T }.
% 0.86/1.25 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.86/1.25 tptp_update2( Z, Y, T ), X ) = T }.
% 0.86/1.25 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.86/1.25 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.86/1.25 { true }.
% 0.86/1.25 { ! def = use }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, minus( n6, n1 ) ), ! leq( Y,
% 0.86/1.25 minus( n6, n1 ) ), a_select3( q_ds1_filter, X, Y ) = a_select3(
% 0.86/1.25 q_ds1_filter, Y, X ) }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, minus( n3, n1 ) ), ! leq( Y,
% 0.86/1.25 minus( n3, n1 ) ), a_select3( r_ds1_filter, X, Y ) = a_select3(
% 0.86/1.25 r_ds1_filter, Y, X ) }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, minus( n6, n1 ) ), ! leq( Y,
% 0.86/1.25 minus( n6, n1 ) ), a_select3( pminus_ds1_filter, X, Y ) = a_select3(
% 0.86/1.25 pminus_ds1_filter, Y, X ) }.
% 0.86/1.25 { ! true }.
% 0.86/1.25 { gt( n5, n4 ) }.
% 0.86/1.25 { gt( n6, n4 ) }.
% 0.86/1.25 { gt( n6, n5 ) }.
% 0.86/1.25 { gt( n4, tptp_minus_1 ) }.
% 0.86/1.25 { gt( n5, tptp_minus_1 ) }.
% 0.86/1.25 { gt( n6, tptp_minus_1 ) }.
% 0.86/1.25 { gt( n0, tptp_minus_1 ) }.
% 0.86/1.25 { gt( n1, tptp_minus_1 ) }.
% 0.86/1.25 { gt( n2, tptp_minus_1 ) }.
% 0.86/1.25 { gt( n3, tptp_minus_1 ) }.
% 0.86/1.25 { gt( n4, n0 ) }.
% 0.86/1.25 { gt( n5, n0 ) }.
% 0.86/1.25 { gt( n6, n0 ) }.
% 0.86/1.25 { gt( n1, n0 ) }.
% 0.86/1.25 { gt( n2, n0 ) }.
% 0.86/1.25 { gt( n3, n0 ) }.
% 0.86/1.25 { gt( n4, n1 ) }.
% 0.86/1.25 { gt( n5, n1 ) }.
% 0.86/1.25 { gt( n6, n1 ) }.
% 0.86/1.25 { gt( n2, n1 ) }.
% 0.86/1.25 { gt( n3, n1 ) }.
% 0.86/1.25 { gt( n4, n2 ) }.
% 0.86/1.25 { gt( n5, n2 ) }.
% 0.86/1.25 { gt( n6, n2 ) }.
% 0.86/1.25 { gt( n3, n2 ) }.
% 0.86/1.25 { gt( n4, n3 ) }.
% 0.86/1.25 { gt( n5, n3 ) }.
% 0.86/1.25 { gt( n6, n3 ) }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.86/1.25 .
% 0.86/1.25 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.86/1.25 = n5 }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( X, n6 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.86/1.25 = n5, X = n6 }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.86/1.25 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.86/1.25 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.86/1.25 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.86/1.25 { succ( succ( succ( succ( succ( succ( n0 ) ) ) ) ) ) = n6 }.
% 0.86/1.25 { succ( n0 ) = n1 }.
% 0.86/1.25 { succ( succ( n0 ) ) = n2 }.
% 0.86/1.25 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.86/1.25
% 0.86/1.25 percentage equality = 0.191756, percentage horn = 0.865741
% 0.86/1.25 This is a problem with some equality
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 Options Used:
% 0.86/1.25
% 0.86/1.25 useres = 1
% 0.86/1.25 useparamod = 1
% 0.86/1.25 useeqrefl = 1
% 0.86/1.25 useeqfact = 1
% 0.86/1.25 usefactor = 1
% 0.86/1.25 usesimpsplitting = 0
% 0.86/1.25 usesimpdemod = 5
% 0.86/1.25 usesimpres = 3
% 0.86/1.25
% 0.86/1.25 resimpinuse = 1000
% 0.86/1.25 resimpclauses = 20000
% 0.86/1.25 substype = eqrewr
% 0.86/1.25 backwardsubs = 1
% 0.86/1.25 selectoldest = 5
% 0.86/1.25
% 0.86/1.25 litorderings [0] = split
% 0.86/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.25
% 0.86/1.25 termordering = kbo
% 0.86/1.25
% 0.86/1.25 litapriori = 0
% 0.86/1.25 termapriori = 1
% 0.86/1.25 litaposteriori = 0
% 0.86/1.25 termaposteriori = 0
% 0.86/1.25 demodaposteriori = 0
% 0.86/1.25 ordereqreflfact = 0
% 0.86/1.25
% 0.86/1.25 litselect = negord
% 0.86/1.25
% 0.86/1.25 maxweight = 15
% 0.86/1.25 maxdepth = 30000
% 0.86/1.25 maxlength = 115
% 0.86/1.25 maxnrvars = 195
% 0.86/1.25 excuselevel = 1
% 0.86/1.25 increasemaxweight = 1
% 0.86/1.25
% 0.86/1.25 maxselected = 10000000
% 0.86/1.25 maxnrclauses = 10000000
% 0.86/1.25
% 0.86/1.25 showgenerated = 0
% 0.86/1.25 showkept = 0
% 0.86/1.25 showselected = 0
% 0.86/1.25 showdeleted = 0
% 0.86/1.25 showresimp = 1
% 0.86/1.25 showstatus = 2000
% 0.86/1.25
% 0.86/1.25 prologoutput = 0
% 0.86/1.25 nrgoals = 5000000
% 0.86/1.25 totalproof = 1
% 0.86/1.25
% 0.86/1.25 Symbols occurring in the translation:
% 0.86/1.25
% 0.86/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.25 . [1, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.86/1.25 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.86/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.25 gt [37, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.86/1.25 leq [39, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.86/1.25 lt [40, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.86/1.25 geq [41, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.86/1.25 pred [42, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.86/1.25 succ [43, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.86/1.25 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.86/1.25 uniform_int_rnd [46, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.86/1.25 dim [51, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.86/1.25 tptp_const_array1 [52, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.86/1.25 a_select2 [53, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.86/1.25 tptp_const_array2 [59, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.86/1.25 a_select3 [60, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.86/1.25 trans [63, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.86/1.25 inv [64, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.86/1.25 tptp_update3 [67, 4] (w:1, o:156, a:1, s:1, b:0),
% 0.86/1.25 tptp_madd [69, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.86/1.25 tptp_msub [70, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.86/1.25 tptp_mmul [71, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.86/1.25 tptp_minus_1 [77, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.86/1.25 sum [78, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.86/1.25 tptp_float_0_0 [79, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.86/1.25 n1 [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.86/1.25 plus [81, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.86/1.25 n2 [82, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.86/1.25 n3 [83, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.86/1.25 n4 [84, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.86/1.25 n5 [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.86/1.25 minus [86, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.86/1.25 tptp_update2 [91, 3] (w:1, o:140, a:1, s:1, b:0),
% 0.86/1.25 true [92, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.86/1.25 def [93, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.86/1.25 use [94, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.86/1.25 n6 [95, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.86/1.25 q_ds1_filter [96, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.86/1.25 r_ds1_filter [97, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.86/1.25 pminus_ds1_filter [98, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.86/1.25 alpha1 [99, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.86/1.25 alpha2 [100, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.86/1.25 alpha3 [101, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.86/1.25 alpha4 [102, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.86/1.25 alpha5 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.86/1.25 alpha6 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.86/1.25 alpha7 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.86/1.25 alpha8 [106, 1] (w:1, o:58, a:1, s:1, b:1),
% 0.86/1.25 alpha9 [107, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.86/1.25 alpha10 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 0.86/1.25 alpha11 [109, 3] (w:1, o:142, a:1, s:1, b:1),
% 0.86/1.25 alpha12 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 0.86/1.25 alpha13 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.86/1.25 alpha14 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.86/1.25 alpha15 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.86/1.25 alpha16 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.86/1.25 alpha17 [115, 3] (w:1, o:144, a:1, s:1, b:1),
% 0.86/1.25 alpha18 [116, 3] (w:1, o:145, a:1, s:1, b:1),
% 0.86/1.25 alpha19 [117, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.86/1.25 alpha20 [118, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.86/1.25 alpha21 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.86/1.25 alpha22 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.86/1.25 alpha23 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.86/1.25 alpha24 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.86/1.25 alpha25 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.86/1.25 alpha26 [124, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.86/1.25 alpha27 [125, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.86/1.25 alpha28 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.86/1.25 alpha29 [127, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.86/1.25 alpha30 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.86/1.25 skol1 [129, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.86/1.25 skol2 [130, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.86/1.25 skol3 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.86/1.25 skol4 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.86/1.25 skol5 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.86/1.25 skol6 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.86/1.25 skol7 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.86/1.25 skol8 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.86/1.25 skol9 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.86/1.25 skol10 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.86/1.25 skol11 [139, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.86/1.25 skol12 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.86/1.25 skol13 [141, 4] (w:1, o:154, a:1, s:1, b:1),
% 0.86/1.25 skol14 [142, 3] (w:1, o:137, a:1, s:1, b:1),
% 0.86/1.25 skol15 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.86/1.25 skol16 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.86/1.25 skol17 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.86/1.25 skol18 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.86/1.25 skol19 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.86/1.25 skol20 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.86/1.25 skol21 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.86/1.25 skol22 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.86/1.25 skol23 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.86/1.25 skol24 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.86/1.25 skol25 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.86/1.25 skol26 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.86/1.25 skol27 [155, 4] (w:1, o:155, a:1, s:1, b:1),
% 0.86/1.25 skol28 [156, 1] (w:1, o:55, a:1, s:1, b:1).
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 Starting Search:
% 0.86/1.25
% 0.86/1.25 *** allocated 15000 integers for clauses
% 0.86/1.25
% 0.86/1.25 Bliksems!, er is een bewijs:
% 0.86/1.25 % SZS status Theorem
% 0.86/1.25 % SZS output start Refutation
% 0.86/1.25
% 0.86/1.25 (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.86/1.25 (174) {G1,W0,D0,L0,V0,M0} I;r(169) { }.
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 % SZS output end Refutation
% 0.86/1.25 found a proof!
% 0.86/1.25
% 0.86/1.25 *** allocated 22500 integers for clauses
% 0.86/1.25
% 0.86/1.25 Unprocessed initial clauses:
% 0.86/1.25
% 0.86/1.25 (176) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.86/1.25 (177) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.86/1.25 (178) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.86/1.25 (179) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.86/1.25 (180) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.86/1.25 (181) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.86/1.25 (182) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.86/1.25 (183) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (184) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.86/1.25 (185) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.86/1.25 (186) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.86/1.25 (187) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.86/1.25 (188) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.86/1.25 (189) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.86/1.25 (190) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.86/1.25 (191) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.86/1.25 (192) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.86/1.25 (193) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ),
% 0.86/1.25 X ) }.
% 0.86/1.25 (194) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X
% 0.86/1.25 ) ) }.
% 0.86/1.25 (195) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.86/1.25 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.86/1.25 (196) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ),
% 0.86/1.25 ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), V0
% 0.86/1.25 ), X, T ) = V0 }.
% 0.86/1.25 (197) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ),
% 0.86/1.25 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.86/1.25 trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.86/1.25 (198) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y )
% 0.86/1.25 ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.86/1.25 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.86/1.25 a_select3( trans( X ), T, Z ) }.
% 0.86/1.25 (199) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.86/1.25 (200) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (201) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (202) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.86/1.25 ), alpha10( X, Y, Z ) }.
% 0.86/1.25 (203) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (204) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (205) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (206) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ),
% 0.86/1.25 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.86/1.25 inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.86/1.25 (207) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y )
% 0.86/1.25 ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.86/1.25 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.86/1.25 a_select3( inv( X ), T, Z ) }.
% 0.86/1.25 (208) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.86/1.25 (209) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (210) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (211) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.86/1.25 ), alpha11( X, Y, Z ) }.
% 0.86/1.25 (212) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (213) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (214) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (215) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ),
% 0.86/1.25 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0,
% 0.86/1.25 U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.86/1.25 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.86/1.25 (216) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y )
% 0.86/1.25 ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.86/1.25 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.86/1.25 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.86/1.25 X, U, U, W ), T, Z ) }.
% 0.86/1.25 (217) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.86/1.25 (218) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (219) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (220) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.86/1.25 ), alpha12( X, Y, Z ) }.
% 0.86/1.25 (221) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (222) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (223) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (224) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.86/1.25 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.86/1.25 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.86/1.25 ), U, T ) }.
% 0.86/1.25 (225) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z )
% 0.86/1.25 , skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq
% 0.86/1.25 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.86/1.25 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.86/1.25 (226) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.86/1.25 (227) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (228) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (229) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.86/1.25 X ), alpha22( X, Y, Z ) }.
% 0.86/1.25 (230) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (231) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (232) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (233) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ),
% 0.86/1.25 skol19( X, Y ) ) }.
% 0.86/1.25 (234) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y
% 0.86/1.25 ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.86/1.25 (235) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.86/1.25 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.86/1.25 (236) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.86/1.25 (237) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (238) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (239) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.86/1.25 X ), alpha23( X, Y, Z ) }.
% 0.86/1.25 (240) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (241) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (242) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (243) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.86/1.25 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.86/1.25 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.86/1.25 ), U, T ) }.
% 0.86/1.25 (244) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z )
% 0.86/1.25 , skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq
% 0.86/1.25 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.86/1.25 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.86/1.25 (245) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.86/1.25 (246) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (247) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (248) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.86/1.25 X ), alpha24( X, Y, Z ) }.
% 0.86/1.25 (249) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (250) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (251) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (252) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ),
% 0.86/1.25 skol21( X, Y ) ) }.
% 0.86/1.25 (253) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y
% 0.86/1.25 ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.86/1.25 (254) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.86/1.25 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.86/1.25 (255) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.86/1.25 (256) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (257) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (258) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.86/1.25 X ), alpha25( X, Y, Z ) }.
% 0.86/1.25 (259) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (260) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (261) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (262) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ),
% 0.86/1.25 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.86/1.25 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.86/1.25 ( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.86/1.25 (263) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y )
% 0.86/1.25 ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.86/1.25 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.86/1.25 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.86/1.25 ( X, trans( U ) ) ), T, Z ) }.
% 0.86/1.25 (264) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.86/1.25 (265) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (266) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (267) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.86/1.25 ), alpha17( X, Y, Z ) }.
% 0.86/1.25 (268) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (269) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (270) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (271) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ),
% 0.86/1.25 ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3(
% 0.86/1.25 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.86/1.25 ( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.86/1.25 (272) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y )
% 0.86/1.25 ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.86/1.25 ( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.86/1.25 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.86/1.25 ( X, trans( W ) ) ), T, Z ) }.
% 0.86/1.25 (273) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.86/1.25 (274) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (275) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (276) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.86/1.25 ), alpha18( X, Y, Z ) }.
% 0.86/1.25 (277) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (278) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (279) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (280) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.86/1.25 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.86/1.25 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.86/1.25 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.86/1.25 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.86/1.25 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.86/1.25 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.86/1.25 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.86/1.25 (281) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3( Z
% 0.86/1.25 , skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ), skol10
% 0.86/1.25 ( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T )
% 0.86/1.25 , a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul
% 0.86/1.25 ( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans(
% 0.86/1.25 V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X,
% 0.86/1.25 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.86/1.25 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.86/1.25 ), W, U ) }.
% 0.86/1.25 (282) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.86/1.25 (283) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (284) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (285) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.86/1.25 X ), alpha29( X, Y, Z ) }.
% 0.86/1.25 (286) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (287) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (288) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (289) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y )
% 0.86/1.25 , skol25( X, Y ) ) }.
% 0.86/1.25 (290) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.86/1.25 , Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 0.86/1.25 }.
% 0.86/1.25 (291) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.86/1.25 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.86/1.25 (292) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.86/1.25 (293) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (294) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (295) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.86/1.25 X ), alpha30( X, Y, Z ) }.
% 0.86/1.25 (296) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (297) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (298) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (299) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.86/1.25 skol26( X, Y ) ) }.
% 0.86/1.25 (300) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y )
% 0.86/1.25 , skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.86/1.25 (301) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3( X
% 0.86/1.25 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.86/1.25 (302) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.86/1.25 (303) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.86/1.25 (304) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.86/1.25 (305) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.86/1.25 X ), alpha28( X, Y, Z ) }.
% 0.86/1.25 (306) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (307) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.86/1.25 (308) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (309) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.86/1.25 (310) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.86/1.25 }.
% 0.86/1.25 (311) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.86/1.25 (312) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.86/1.25 (313) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.86/1.25 (314) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.86/1.25 (315) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.86/1.25 (316) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.86/1.25 (317) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.86/1.25 (318) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.86/1.25 ) ) }.
% 0.86/1.25 (319) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.86/1.25 ) ) }.
% 0.86/1.25 (320) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.86/1.25 ( X ) ) ) ) ) }.
% 0.86/1.25 (321) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.86/1.25 ( X ) ) ) ) ) }.
% 0.86/1.25 (322) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.86/1.25 (323) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.86/1.25 (324) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.86/1.25 (325) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.86/1.25 (326) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.86/1.25 (327) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.86/1.25 (328) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.86/1.25 (329) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z )
% 0.86/1.25 = T }.
% 0.86/1.25 (330) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.86/1.25 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.86/1.25 (331) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0
% 0.86/1.25 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.86/1.25 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.86/1.25 (332) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z,
% 0.86/1.25 T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T )
% 0.86/1.25 , a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.86/1.25 (333) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol27
% 0.86/1.25 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.86/1.25 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.86/1.25 (334) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.86/1.25 (335) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.86/1.25 (336) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X,
% 0.86/1.25 Y, Z ) }.
% 0.86/1.25 (337) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.86/1.25 (338) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.86/1.25 (339) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y )
% 0.86/1.25 }.
% 0.86/1.25 (340) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.86/1.25 }.
% 0.86/1.25 (341) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.86/1.25 tptp_update2( Z, X, U ), Y ) = T }.
% 0.86/1.25 (342) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X )
% 0.86/1.25 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.86/1.25 (343) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ),
% 0.86/1.25 ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.86/1.25 (344) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.86/1.25 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.86/1.25 }.
% 0.86/1.25 (345) {G0,W1,D1,L1,V0,M1} { true }.
% 0.86/1.25 (346) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.86/1.25 (347) {G0,W25,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 0.86/1.25 minus( n6, n1 ) ), ! leq( Y, minus( n6, n1 ) ), a_select3( q_ds1_filter,
% 0.86/1.25 X, Y ) = a_select3( q_ds1_filter, Y, X ) }.
% 0.86/1.25 (348) {G0,W25,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 0.86/1.25 minus( n3, n1 ) ), ! leq( Y, minus( n3, n1 ) ), a_select3( r_ds1_filter,
% 0.86/1.25 X, Y ) = a_select3( r_ds1_filter, Y, X ) }.
% 0.86/1.25 (349) {G0,W25,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 0.86/1.25 minus( n6, n1 ) ), ! leq( Y, minus( n6, n1 ) ), a_select3(
% 0.86/1.25 pminus_ds1_filter, X, Y ) = a_select3( pminus_ds1_filter, Y, X ) }.
% 0.86/1.25 (350) {G0,W1,D1,L1,V0,M1} { ! true }.
% 0.86/1.25 (351) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.86/1.25 (352) {G0,W3,D2,L1,V0,M1} { gt( n6, n4 ) }.
% 0.86/1.25 (353) {G0,W3,D2,L1,V0,M1} { gt( n6, n5 ) }.
% 0.86/1.25 (354) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.86/1.25 (355) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.86/1.25 (356) {G0,W3,D2,L1,V0,M1} { gt( n6, tptp_minus_1 ) }.
% 0.86/1.25 (357) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.86/1.25 (358) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.86/1.25 (359) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.86/1.25 (360) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.86/1.25 (361) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.86/1.25 (362) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.86/1.25 (363) {G0,W3,D2,L1,V0,M1} { gt( n6, n0 ) }.
% 0.86/1.25 (364) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.86/1.25 (365) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.86/1.25 (366) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.86/1.25 (367) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.86/1.25 (368) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.86/1.25 (369) {G0,W3,D2,L1,V0,M1} { gt( n6, n1 ) }.
% 0.86/1.25 (370) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.86/1.25 (371) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.86/1.25 (372) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.86/1.25 (373) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.86/1.25 (374) {G0,W3,D2,L1,V0,M1} { gt( n6, n2 ) }.
% 0.86/1.25 (375) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.86/1.25 (376) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.86/1.25 (377) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.86/1.25 (378) {G0,W3,D2,L1,V0,M1} { gt( n6, n3 ) }.
% 0.86/1.25 (379) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.86/1.25 n1, X = n2, X = n3, X = n4 }.
% 0.86/1.26 (380) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.86/1.26 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.86/1.26 (381) {G0,W27,D2,L9,V1,M9} { ! leq( n0, X ), ! leq( X, n6 ), X = n0, X =
% 0.86/1.26 n1, X = n2, X = n3, X = n4, X = n5, X = n6 }.
% 0.86/1.26 (382) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.86/1.26 (383) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.86/1.26 n1 }.
% 0.86/1.26 (384) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.86/1.26 n1, X = n2 }.
% 0.86/1.26 (385) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.86/1.26 n1, X = n2, X = n3 }.
% 0.86/1.26 (386) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.86/1.26 (387) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.86/1.26 n5 }.
% 0.86/1.26 (388) {G0,W9,D8,L1,V0,M1} { succ( succ( succ( succ( succ( succ( n0 ) ) ) )
% 0.86/1.26 ) ) = n6 }.
% 0.86/1.26 (389) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.86/1.26 (390) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.86/1.26 (391) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Total Proof:
% 0.86/1.26
% 0.86/1.26 *** allocated 22500 integers for termspace/termends
% 0.86/1.26 *** allocated 33750 integers for clauses
% 0.86/1.26 *** allocated 33750 integers for termspace/termends
% 0.86/1.26 subsumption: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.86/1.26 parent0: (345) {G0,W1,D1,L1,V0,M1} { true }.
% 0.86/1.26 substitution0:
% 0.86/1.26 end
% 0.86/1.26 permutation0:
% 0.86/1.26 0 ==> 0
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 *** allocated 50625 integers for termspace/termends
% 0.86/1.26 *** allocated 50625 integers for clauses
% 0.86/1.26 resolution: (1460) {G1,W0,D0,L0,V0,M0} { }.
% 0.86/1.26 parent0[0]: (350) {G0,W1,D1,L1,V0,M1} { ! true }.
% 0.86/1.26 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.86/1.26 substitution0:
% 0.86/1.26 end
% 0.86/1.26 substitution1:
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 subsumption: (174) {G1,W0,D0,L0,V0,M0} I;r(169) { }.
% 0.86/1.26 parent0: (1460) {G1,W0,D0,L0,V0,M0} { }.
% 0.86/1.26 substitution0:
% 0.86/1.26 end
% 0.86/1.26 permutation0:
% 0.86/1.26 end
% 0.86/1.26
% 0.86/1.26 Proof check complete!
% 0.86/1.26
% 0.86/1.26 Memory use:
% 0.86/1.26
% 0.86/1.26 space for terms: 7810
% 0.86/1.26 space for clauses: 11002
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 clauses generated: 175
% 0.86/1.26 clauses kept: 175
% 0.86/1.26 clauses selected: 0
% 0.86/1.26 clauses deleted: 0
% 0.86/1.26 clauses inuse deleted: 0
% 0.86/1.26
% 0.86/1.26 subsentry: 12604
% 0.86/1.26 literals s-matched: 5030
% 0.86/1.26 literals matched: 3388
% 0.86/1.26 full subsumption: 1451
% 0.86/1.26
% 0.86/1.26 checksum: 937246672
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Bliksem ended
%------------------------------------------------------------------------------