TSTP Solution File: SWV061+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV061+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:20 EDT 2022
% Result : Theorem 0.45s 1.15s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV061+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 21:19:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.14 *** allocated 10000 integers for termspace/termends
% 0.45/1.14 *** allocated 10000 integers for clauses
% 0.45/1.14 *** allocated 10000 integers for justifications
% 0.45/1.14 Bliksem 1.12
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 Automatic Strategy Selection
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 Clauses:
% 0.45/1.14
% 0.45/1.14 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.45/1.14 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.45/1.14 { ! gt( X, X ) }.
% 0.45/1.14 { leq( X, X ) }.
% 0.45/1.14 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.45/1.14 { ! lt( X, Y ), gt( Y, X ) }.
% 0.45/1.14 { ! gt( Y, X ), lt( X, Y ) }.
% 0.45/1.14 { ! geq( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( Y, X ), geq( X, Y ) }.
% 0.45/1.14 { ! gt( Y, X ), leq( X, Y ) }.
% 0.45/1.14 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.45/1.14 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.45/1.14 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.45/1.14 { gt( succ( X ), X ) }.
% 0.45/1.14 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.45/1.14 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.45/1.14 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.45/1.14 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.45/1.14 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.45/1.14 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.45/1.14 T ), X ) = T }.
% 0.45/1.14 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.45/1.14 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.45/1.14 { alpha11( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.45/1.14 a_select3( trans( X ), T, Z ) }.
% 0.45/1.14 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.45/1.14 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.14 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.45/1.14 ) }.
% 0.45/1.14 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.45/1.14 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.45/1.14 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.45/1.14 { alpha12( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.45/1.14 a_select3( inv( X ), T, Z ) }.
% 0.45/1.14 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.45/1.14 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.14 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.45/1.14 .
% 0.45/1.14 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.45/1.14 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.45/1.14 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.45/1.14 { alpha13( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.14 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.45/1.14 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.45/1.14 X, U, U, W ), T, Z ) }.
% 0.45/1.14 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.45/1.14 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.14 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.45/1.14 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.45/1.14 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.45/1.14 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.45/1.14 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.45/1.14 { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.45/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.45/1.14 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.45/1.14 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.45/1.14 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.45/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.45/1.14 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.45/1.14 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.45/1.14 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.45/1.14 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.45/1.14 { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.45/1.14 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.45/1.14 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.45/1.14 { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.45/1.14 ( X, Y ) }.
% 0.45/1.14 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.45/1.14 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.45/1.14 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.45/1.14 { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.45/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.45/1.14 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.45/1.14 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.45/1.14 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.45/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.45/1.14 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.45/1.14 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.45/1.14 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.45/1.14 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.45/1.14 { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.45/1.14 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.45/1.14 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.45/1.14 { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.45/1.14 ( X, Y ) }.
% 0.45/1.14 { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 0.45/1.14 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.45/1.14 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.45/1.14 { alpha18( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.45/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.45/1.14 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.45/1.14 U ) ) ), T, Z ) }.
% 0.45/1.14 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.45/1.14 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.45/1.14 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.45/1.14 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.45/1.14 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.45/1.14 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.45/1.14 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.45/1.14 { alpha19( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.45/1.14 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.45/1.14 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.45/1.14 W ) ) ), T, Z ) }.
% 0.45/1.14 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.45/1.14 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.45/1.14 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.45/1.14 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.45/1.14 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.45/1.14 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.45/1.14 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.45/1.14 { alpha8( Y ), alpha20( X, T ), alpha30( T, skol10( Z, T ), skol24( Z, T )
% 0.45/1.14 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.45/1.14 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.45/1.14 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.45/1.14 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.45/1.14 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.45/1.14 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.45/1.14 ) }.
% 0.45/1.14 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.45/1.14 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.45/1.14 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.45/1.14 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.45/1.14 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.45/1.14 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.45/1.14 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.45/1.14 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.45/1.14 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.45/1.14 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.45/1.14 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.45/1.14 { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.45/1.14 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.45/1.14 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.45/1.14 { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.45/1.14 alpha20( X, Y ) }.
% 0.45/1.14 { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 0.45/1.14 { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha31( X, Y, Z ) }.
% 0.45/1.14 { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y ) }.
% 0.45/1.14 { ! alpha8( X ), alpha29( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.45/1.14 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.45/1.14 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.45/1.14 { ! alpha29( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.45/1.14 ), alpha8( X ) }.
% 0.45/1.14 { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 0.45/1.14 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.14 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.14 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.45/1.14 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.45/1.14 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.45/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.45/1.14 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.45/1.14 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.45/1.14 { succ( tptp_minus_1 ) = n0 }.
% 0.45/1.14 { plus( X, n1 ) = succ( X ) }.
% 0.45/1.14 { plus( n1, X ) = succ( X ) }.
% 0.45/1.14 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.45/1.14 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.45/1.14 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.45/1.14 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.45/1.14 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.45/1.14 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.45/1.14 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.45/1.14 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.45/1.14 { minus( X, n1 ) = pred( X ) }.
% 0.45/1.14 { pred( succ( X ) ) = X }.
% 0.45/1.14 { succ( pred( X ) ) = X }.
% 0.45/1.14 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.45/1.14 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.45/1.14 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.45/1.14 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.45/1.14 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.45/1.14 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.45/1.14 , Y, V0 ), Z, T ) = W }.
% 0.45/1.14 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.45/1.14 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.45/1.14 }.
% 0.45/1.14 { alpha22( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.45/1.14 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.45/1.14 U, Z, T, W ), X, Y ) = W }.
% 0.45/1.14 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.45/1.14 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.45/1.14 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.45/1.14 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.45/1.14 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.45/1.14 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.45/1.14 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.45/1.15 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.45/1.15 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.45/1.15 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.45/1.15 T }.
% 0.45/1.15 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.45/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.15 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.45/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.15 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.45/1.15 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.15 { true }.
% 0.45/1.15 { ! def = use }.
% 0.45/1.15 { true }.
% 0.45/1.15 { alpha10, gt( loopcounter, n1 ) }.
% 0.45/1.15 { alpha10, ! true }.
% 0.45/1.15 { ! alpha10, ! gt( loopcounter, n1 ) }.
% 0.45/1.15 { ! alpha10, ! true }.
% 0.45/1.15 { gt( loopcounter, n1 ), true, alpha10 }.
% 0.45/1.15 { gt( n5, n4 ) }.
% 0.45/1.15 { gt( n4, tptp_minus_1 ) }.
% 0.45/1.15 { gt( n5, tptp_minus_1 ) }.
% 0.45/1.15 { gt( n0, tptp_minus_1 ) }.
% 0.45/1.15 { gt( n1, tptp_minus_1 ) }.
% 0.45/1.15 { gt( n2, tptp_minus_1 ) }.
% 0.45/1.15 { gt( n3, tptp_minus_1 ) }.
% 0.45/1.15 { gt( n4, n0 ) }.
% 0.45/1.15 { gt( n5, n0 ) }.
% 0.45/1.15 { gt( n1, n0 ) }.
% 0.45/1.15 { gt( n2, n0 ) }.
% 0.45/1.15 { gt( n3, n0 ) }.
% 0.45/1.15 { gt( n4, n1 ) }.
% 0.45/1.15 { gt( n5, n1 ) }.
% 0.45/1.15 { gt( n2, n1 ) }.
% 0.45/1.15 { gt( n3, n1 ) }.
% 0.45/1.15 { gt( n4, n2 ) }.
% 0.45/1.15 { gt( n5, n2 ) }.
% 0.45/1.15 { gt( n3, n2 ) }.
% 0.45/1.15 { gt( n4, n3 ) }.
% 0.45/1.15 { gt( n5, n3 ) }.
% 0.45/1.15 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.45/1.15 .
% 0.45/1.15 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.45/1.15 = n5 }.
% 0.45/1.15 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.45/1.15 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.45/1.15 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.45/1.15 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.45/1.15 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.45/1.15 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.45/1.15 { succ( n0 ) = n1 }.
% 0.45/1.15 { succ( succ( n0 ) ) = n2 }.
% 0.45/1.15 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.45/1.15
% 0.45/1.15 percentage equality = 0.180113, percentage horn = 0.859903
% 0.45/1.15 This is a problem with some equality
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Options Used:
% 0.45/1.15
% 0.45/1.15 useres = 1
% 0.45/1.15 useparamod = 1
% 0.45/1.15 useeqrefl = 1
% 0.45/1.15 useeqfact = 1
% 0.45/1.15 usefactor = 1
% 0.45/1.15 usesimpsplitting = 0
% 0.45/1.15 usesimpdemod = 5
% 0.45/1.15 usesimpres = 3
% 0.45/1.15
% 0.45/1.15 resimpinuse = 1000
% 0.45/1.15 resimpclauses = 20000
% 0.45/1.15 substype = eqrewr
% 0.45/1.15 backwardsubs = 1
% 0.45/1.15 selectoldest = 5
% 0.45/1.15
% 0.45/1.15 litorderings [0] = split
% 0.45/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.15
% 0.45/1.15 termordering = kbo
% 0.45/1.15
% 0.45/1.15 litapriori = 0
% 0.45/1.15 termapriori = 1
% 0.45/1.15 litaposteriori = 0
% 0.45/1.15 termaposteriori = 0
% 0.45/1.15 demodaposteriori = 0
% 0.45/1.15 ordereqreflfact = 0
% 0.45/1.15
% 0.45/1.15 litselect = negord
% 0.45/1.15
% 0.45/1.15 maxweight = 15
% 0.45/1.15 maxdepth = 30000
% 0.45/1.15 maxlength = 115
% 0.45/1.15 maxnrvars = 195
% 0.45/1.15 excuselevel = 1
% 0.45/1.15 increasemaxweight = 1
% 0.45/1.15
% 0.45/1.15 maxselected = 10000000
% 0.45/1.15 maxnrclauses = 10000000
% 0.45/1.15
% 0.45/1.15 showgenerated = 0
% 0.45/1.15 showkept = 0
% 0.45/1.15 showselected = 0
% 0.45/1.15 showdeleted = 0
% 0.45/1.15 showresimp = 1
% 0.45/1.15 showstatus = 2000
% 0.45/1.15
% 0.45/1.15 prologoutput = 0
% 0.45/1.15 nrgoals = 5000000
% 0.45/1.15 totalproof = 1
% 0.45/1.15
% 0.45/1.15 Symbols occurring in the translation:
% 0.45/1.15
% 0.45/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.15 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.45/1.15 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 0.45/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.15 gt [37, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.45/1.15 leq [39, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.45/1.15 lt [40, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.45/1.15 geq [41, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.45/1.15 pred [42, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.45/1.15 succ [43, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.45/1.15 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/1.15 uniform_int_rnd [46, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.45/1.15 dim [51, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.45/1.15 tptp_const_array1 [52, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.45/1.15 a_select2 [53, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.45/1.15 tptp_const_array2 [59, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.45/1.15 a_select3 [60, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.45/1.15 trans [63, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.45/1.15 inv [64, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.45/1.15 tptp_update3 [67, 4] (w:1, o:154, a:1, s:1, b:0),
% 0.45/1.15 tptp_madd [69, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.45/1.15 tptp_msub [70, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.45/1.15 tptp_mmul [71, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.45/1.15 tptp_minus_1 [77, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.45/1.15 sum [78, 3] (w:1, o:134, a:1, s:1, b:0),
% 0.45/1.15 tptp_float_0_0 [79, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.45/1.15 n1 [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.45/1.15 plus [81, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.45/1.15 n2 [82, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.45/1.15 n3 [83, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.45/1.15 n4 [84, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.45/1.15 n5 [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.45/1.15 minus [86, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.45/1.15 tptp_update2 [91, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.45/1.15 true [92, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.45/1.15 def [93, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.45/1.15 use [94, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.45/1.15 loopcounter [95, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.45/1.15 alpha1 [96, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.45/1.15 alpha2 [97, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.45/1.15 alpha3 [98, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.45/1.15 alpha4 [99, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.45/1.15 alpha5 [100, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.45/1.15 alpha6 [101, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.45/1.15 alpha7 [102, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.45/1.15 alpha8 [103, 1] (w:1, o:56, a:1, s:1, b:1),
% 0.45/1.15 alpha9 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.45/1.15 alpha10 [105, 0] (w:1, o:45, a:1, s:1, b:1),
% 0.45/1.15 alpha11 [106, 3] (w:1, o:139, a:1, s:1, b:1),
% 0.45/1.15 alpha12 [107, 3] (w:1, o:140, a:1, s:1, b:1),
% 0.45/1.15 alpha13 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 0.45/1.15 alpha14 [109, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.45/1.15 alpha15 [110, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.45/1.15 alpha16 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.45/1.15 alpha17 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.45/1.15 alpha18 [113, 3] (w:1, o:142, a:1, s:1, b:1),
% 0.45/1.15 alpha19 [114, 3] (w:1, o:143, a:1, s:1, b:1),
% 0.45/1.15 alpha20 [115, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.45/1.15 alpha21 [116, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.45/1.15 alpha22 [117, 3] (w:1, o:144, a:1, s:1, b:1),
% 0.45/1.15 alpha23 [118, 3] (w:1, o:145, a:1, s:1, b:1),
% 0.45/1.15 alpha24 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.45/1.15 alpha25 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.45/1.15 alpha26 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.45/1.15 alpha27 [122, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.45/1.15 alpha28 [123, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.45/1.15 alpha29 [124, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.45/1.15 alpha30 [125, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.45/1.15 alpha31 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.45/1.15 skol1 [127, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.45/1.15 skol2 [128, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.45/1.15 skol3 [129, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.45/1.15 skol4 [130, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.45/1.15 skol5 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.45/1.15 skol6 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.45/1.15 skol7 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.45/1.15 skol8 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.45/1.15 skol9 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.45/1.15 skol10 [136, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.45/1.15 skol11 [137, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.45/1.15 skol12 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.45/1.15 skol13 [139, 4] (w:1, o:152, a:1, s:1, b:1),
% 0.45/1.15 skol14 [140, 3] (w:1, o:135, a:1, s:1, b:1),
% 0.45/1.15 skol15 [141, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.45/1.15 skol16 [142, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.45/1.15 skol17 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.45/1.15 skol18 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.45/1.15 skol19 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.45/1.15 skol20 [146, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.45/1.15 skol21 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.45/1.15 skol22 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.45/1.15 skol23 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.45/1.15 skol24 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.45/1.15 skol25 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.45/1.15 skol26 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.45/1.15 skol27 [153, 4] (w:1, o:153, a:1, s:1, b:1),
% 0.45/1.15 skol28 [154, 1] (w:1, o:53, a:1, s:1, b:1).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Starting Search:
% 0.45/1.15
% 0.45/1.15 *** allocated 15000 integers for clauses
% 0.45/1.15 *** allocated 22500 integers for clauses
% 0.45/1.15 *** allocated 15000 integers for termspace/termends
% 0.45/1.15
% 0.45/1.15 Bliksems!, er is een bewijs:
% 0.45/1.15 % SZS status Theorem
% 0.45/1.15 % SZS output start Refutation
% 0.45/1.15
% 0.45/1.15 (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.45/1.15 (172) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 0.45/1.15 (174) {G2,W1,D1,L1,V0,M1} I;r(172) { ! true }.
% 0.45/1.15 (403) {G3,W0,D0,L0,V0,M0} S(174);r(169) { }.
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 % SZS output end Refutation
% 0.45/1.15 found a proof!
% 0.45/1.15
% 0.45/1.15 *** allocated 33750 integers for clauses
% 0.45/1.15 *** allocated 22500 integers for termspace/termends
% 0.45/1.15
% 0.45/1.15 Unprocessed initial clauses:
% 0.45/1.15
% 0.45/1.15 (405) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.45/1.15 (406) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.45/1.15 (407) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.45/1.15 (408) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.45/1.15 (409) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.45/1.15 (410) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.45/1.15 (411) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.45/1.15 (412) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (413) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.45/1.15 (414) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.45/1.15 (415) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.45/1.15 (416) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.45/1.15 (417) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.45/1.15 (418) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.45/1.15 (419) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.45/1.15 (420) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.45/1.15 (421) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.45/1.15 (422) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ),
% 0.45/1.15 X ) }.
% 0.45/1.15 (423) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X
% 0.45/1.15 ) ) }.
% 0.45/1.15 (424) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.45/1.15 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.45/1.15 (425) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ),
% 0.45/1.15 ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), V0
% 0.45/1.15 ), X, T ) = V0 }.
% 0.45/1.15 (426) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol1( X, Y ), skol15( X, Y ) ),
% 0.45/1.15 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.45/1.15 trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.45/1.15 (427) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y )
% 0.45/1.15 ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.45/1.15 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.45/1.15 a_select3( trans( X ), T, Z ) }.
% 0.45/1.15 (428) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.45/1.15 (429) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (430) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (431) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.45/1.15 ), alpha11( X, Y, Z ) }.
% 0.45/1.15 (432) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (433) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (434) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (435) {G0,W31,D4,L6,V4,M6} { alpha12( Y, skol2( X, Y ), skol16( X, Y ) ),
% 0.45/1.15 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.45/1.15 inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.45/1.15 (436) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y )
% 0.45/1.15 ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.45/1.15 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.45/1.15 a_select3( inv( X ), T, Z ) }.
% 0.45/1.15 (437) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.45/1.15 (438) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (439) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (440) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.45/1.15 ), alpha12( X, Y, Z ) }.
% 0.45/1.15 (441) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (442) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (443) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (444) {G0,W43,D4,L8,V6,M8} { alpha13( Y, skol3( X, Y ), skol17( X, Y ) ),
% 0.45/1.15 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0,
% 0.45/1.15 U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.45/1.15 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.45/1.15 (445) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y )
% 0.45/1.15 ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.45/1.15 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.45/1.15 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.45/1.15 X, U, U, W ), T, Z ) }.
% 0.45/1.15 (446) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.45/1.15 (447) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (448) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (449) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.45/1.15 ), alpha13( X, Y, Z ) }.
% 0.45/1.15 (450) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (451) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (452) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (453) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ),
% 0.45/1.15 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.45/1.15 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.45/1.15 ), U, T ) }.
% 0.45/1.15 (454) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z )
% 0.45/1.15 , skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq
% 0.45/1.15 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.45/1.15 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.45/1.15 (455) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.45/1.15 (456) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (457) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (458) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.45/1.15 X ), alpha23( X, Y, Z ) }.
% 0.45/1.15 (459) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (460) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (461) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (462) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y ),
% 0.45/1.15 skol19( X, Y ) ) }.
% 0.45/1.15 (463) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y
% 0.45/1.15 ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.45/1.15 (464) {G0,W16,D3,L3,V4,M3} { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) =
% 0.45/1.15 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.45/1.15 (465) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.45/1.15 (466) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (467) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (468) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.45/1.15 X ), alpha24( X, Y, Z ) }.
% 0.45/1.15 (469) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (470) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (471) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (472) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ),
% 0.45/1.15 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.45/1.15 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.45/1.15 ), U, T ) }.
% 0.45/1.15 (473) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z )
% 0.45/1.15 , skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq
% 0.45/1.15 ( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.45/1.15 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.45/1.15 (474) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.45/1.15 (475) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (476) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (477) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.45/1.15 X ), alpha25( X, Y, Z ) }.
% 0.45/1.15 (478) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (479) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (480) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (481) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y ),
% 0.45/1.15 skol21( X, Y ) ) }.
% 0.45/1.15 (482) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y
% 0.45/1.15 ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.45/1.15 (483) {G0,W16,D3,L3,V4,M3} { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) =
% 0.45/1.15 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.45/1.15 (484) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 0.45/1.15 (485) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (486) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (487) {G0,W13,D2,L4,V3,M4} { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.45/1.15 X ), alpha26( X, Y, Z ) }.
% 0.45/1.15 (488) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (489) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (490) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (491) {G0,W39,D6,L6,V5,M6} { alpha18( Y, skol8( X, Y ), skol22( X, Y ) ),
% 0.45/1.15 ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3(
% 0.45/1.15 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.45/1.15 ( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.45/1.15 (492) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y )
% 0.45/1.15 ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.45/1.15 ( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.45/1.15 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.45/1.15 ( X, trans( U ) ) ), T, Z ) }.
% 0.45/1.15 (493) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.45/1.15 (494) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (495) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (496) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.45/1.15 ), alpha18( X, Y, Z ) }.
% 0.45/1.15 (497) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (498) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (499) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (500) {G0,W39,D6,L6,V6,M6} { alpha19( Y, skol9( X, Y ), skol23( X, Y ) ),
% 0.45/1.15 ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3(
% 0.45/1.15 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul
% 0.45/1.15 ( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.45/1.15 (501) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y )
% 0.45/1.15 ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq
% 0.45/1.15 ( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.45/1.15 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.45/1.15 ( X, trans( W ) ) ), T, Z ) }.
% 0.45/1.15 (502) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.45/1.15 (503) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (504) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (505) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X
% 0.45/1.15 ), alpha19( X, Y, Z ) }.
% 0.45/1.15 (506) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (507) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (508) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (509) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), alpha30( T,
% 0.45/1.15 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.45/1.15 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.45/1.15 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.45/1.15 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.45/1.15 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.45/1.15 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.45/1.15 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.45/1.15 (510) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), ! a_select3( Z
% 0.45/1.15 , skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ), skol10
% 0.45/1.15 ( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T )
% 0.45/1.15 , a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul
% 0.45/1.15 ( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans(
% 0.45/1.15 V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X,
% 0.45/1.15 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.45/1.15 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.45/1.15 ), W, U ) }.
% 0.45/1.15 (511) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.45/1.15 (512) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (513) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (514) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.45/1.15 X ), alpha30( X, Y, Z ) }.
% 0.45/1.15 (515) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (516) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (517) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (518) {G0,W11,D3,L2,V2,M2} { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y )
% 0.45/1.15 , skol25( X, Y ) ) }.
% 0.45/1.15 (519) {G0,W20,D4,L2,V2,M2} { ! alpha20( X, Y ), ! a_select3( X, skol11( X
% 0.45/1.15 , Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 0.45/1.15 }.
% 0.45/1.15 (520) {G0,W16,D3,L3,V4,M3} { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) =
% 0.45/1.15 a_select3( X, T, Z ), alpha20( X, Y ) }.
% 0.45/1.15 (521) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 0.45/1.15 (522) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (523) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (524) {G0,W13,D2,L4,V3,M4} { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.45/1.15 X ), alpha31( X, Y, Z ) }.
% 0.45/1.15 (525) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (526) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (527) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (528) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha29( Y, skol12( X, Y ),
% 0.45/1.15 skol26( X, Y ) ) }.
% 0.45/1.15 (529) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y )
% 0.45/1.15 , skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.45/1.15 (530) {G0,W16,D3,L3,V3,M3} { ! alpha29( skol28( X ), Y, Z ), a_select3( X
% 0.45/1.15 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.45/1.15 (531) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 0.45/1.15 (532) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.45/1.15 (533) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.45/1.15 (534) {G0,W13,D2,L4,V3,M4} { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.45/1.15 X ), alpha29( X, Y, Z ) }.
% 0.45/1.15 (535) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.45/1.15 (536) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.45/1.15 (537) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y )
% 0.45/1.15 }.
% 0.45/1.15 (538) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.45/1.15 (539) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.45/1.15 }.
% 0.45/1.15 (540) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.45/1.15 (541) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.45/1.15 (542) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.45/1.15 (543) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.45/1.15 (544) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.45/1.15 (545) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.45/1.15 (546) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.45/1.15 (547) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.45/1.15 ) ) }.
% 0.45/1.15 (548) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.45/1.15 ) ) }.
% 0.45/1.15 (549) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.45/1.15 ( X ) ) ) ) ) }.
% 0.45/1.15 (550) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.45/1.15 ( X ) ) ) ) ) }.
% 0.45/1.15 (551) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.45/1.15 (552) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.45/1.15 (553) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.45/1.15 (554) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.45/1.15 (555) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.45/1.15 (556) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.45/1.15 (557) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.45/1.15 (558) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z )
% 0.45/1.15 = T }.
% 0.45/1.15 (559) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.45/1.15 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.45/1.15 (560) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0
% 0.45/1.15 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.45/1.15 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.45/1.15 (561) {G0,W34,D4,L6,V6,M6} { alpha22( Z, skol13( Z, T, U, W ), skol27( Z,
% 0.45/1.15 T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T )
% 0.45/1.17 , a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.45/1.17 (562) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol27
% 0.45/1.17 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.45/1.17 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.45/1.17 (563) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.45/1.17 (564) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.45/1.17 (565) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X,
% 0.45/1.17 Y, Z ) }.
% 0.45/1.17 (566) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.45/1.17 (567) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.45/1.17 (568) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y )
% 0.45/1.17 }.
% 0.45/1.17 (569) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.45/1.17 }.
% 0.45/1.17 (570) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.45/1.17 tptp_update2( Z, X, U ), Y ) = T }.
% 0.45/1.17 (571) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X )
% 0.45/1.17 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.17 (572) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ),
% 0.45/1.17 ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.45/1.17 (573) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.45/1.17 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.45/1.17 }.
% 0.45/1.17 (574) {G0,W1,D1,L1,V0,M1} { true }.
% 0.45/1.17 (575) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.45/1.17 (576) {G0,W1,D1,L1,V0,M1} { true }.
% 0.45/1.17 (577) {G0,W4,D2,L2,V0,M2} { alpha10, gt( loopcounter, n1 ) }.
% 0.45/1.17 (578) {G0,W2,D1,L2,V0,M2} { alpha10, ! true }.
% 0.45/1.17 (579) {G0,W4,D2,L2,V0,M2} { ! alpha10, ! gt( loopcounter, n1 ) }.
% 0.45/1.17 (580) {G0,W2,D1,L2,V0,M2} { ! alpha10, ! true }.
% 0.45/1.17 (581) {G0,W5,D2,L3,V0,M3} { gt( loopcounter, n1 ), true, alpha10 }.
% 0.45/1.17 (582) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.45/1.17 (583) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.45/1.17 (584) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.45/1.17 (585) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.45/1.17 (586) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.45/1.17 (587) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.45/1.17 (588) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.45/1.17 (589) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.45/1.17 (590) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.45/1.17 (591) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.45/1.17 (592) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.45/1.17 (593) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.45/1.17 (594) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.45/1.17 (595) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.45/1.17 (596) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.45/1.17 (597) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.45/1.17 (598) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.45/1.17 (599) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.45/1.17 (600) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.45/1.17 (601) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.45/1.17 (602) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.45/1.17 (603) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.45/1.17 n1, X = n2, X = n3, X = n4 }.
% 0.45/1.17 (604) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.45/1.17 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.45/1.17 (605) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.45/1.17 (606) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.45/1.17 n1 }.
% 0.45/1.17 (607) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.45/1.17 n1, X = n2 }.
% 0.45/1.17 (608) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.45/1.17 n1, X = n2, X = n3 }.
% 0.45/1.17 (609) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.45/1.17 (610) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.45/1.17 n5 }.
% 0.45/1.17 (611) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.45/1.17 (612) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.45/1.17 (613) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.45/1.17
% 0.45/1.17
% 0.45/1.17 Total Proof:
% 0.45/1.17
% 0.45/1.17 *** allocated 33750 integers for termspace/termends
% 0.45/1.17 *** allocated 50625 integers for clauses
% 0.45/1.17 *** allocated 50625 integers for termspace/termends
% 0.45/1.17 subsumption: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.45/1.17 parent0: (574) {G0,W1,D1,L1,V0,M1} { true }.
% 0.45/1.17 substitution0:
% 0.45/1.17 end
% 0.45/1.17 permutation0:
% 0.45/1.17 0 ==> 0
% 0.45/1.17 end
% 0.45/1.17
% 0.45/1.17 *** allocated 75937 integers for termspace/termends
% 0.45/1.17 *** allocated 75937 integers for clauses
% 0.82/1.18 resolution: (1667) {G1,W1,D1,L1,V0,M1} { alpha10 }.
% 0.82/1.18 parent0[1]: (578) {G0,W2,D1,L2,V0,M2} { alpha10, ! true }.
% 0.82/1.18 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (172) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 0.82/1.18 parent0: (1667) {G1,W1,D1,L1,V0,M1} { alpha10 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (2196) {G1,W1,D1,L1,V0,M1} { ! true }.
% 0.82/1.18 parent0[0]: (580) {G0,W2,D1,L2,V0,M2} { ! alpha10, ! true }.
% 0.82/1.18 parent1[0]: (172) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (174) {G2,W1,D1,L1,V0,M1} I;r(172) { ! true }.
% 0.82/1.18 parent0: (2196) {G1,W1,D1,L1,V0,M1} { ! true }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 0 ==> 0
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 resolution: (2197) {G1,W0,D0,L0,V0,M0} { }.
% 0.82/1.18 parent0[0]: (174) {G2,W1,D1,L1,V0,M1} I;r(172) { ! true }.
% 0.82/1.18 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 substitution1:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 subsumption: (403) {G3,W0,D0,L0,V0,M0} S(174);r(169) { }.
% 0.82/1.18 parent0: (2197) {G1,W0,D0,L0,V0,M0} { }.
% 0.82/1.18 substitution0:
% 0.82/1.18 end
% 0.82/1.18 permutation0:
% 0.82/1.18 end
% 0.82/1.18
% 0.82/1.18 Proof check complete!
% 0.82/1.18
% 0.82/1.18 Memory use:
% 0.82/1.18
% 0.82/1.18 space for terms: 12924
% 0.82/1.18 space for clauses: 22356
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 clauses generated: 3551
% 0.82/1.18 clauses kept: 404
% 0.82/1.18 clauses selected: 0
% 0.82/1.18 clauses deleted: 1
% 0.82/1.18 clauses inuse deleted: 0
% 0.82/1.18
% 0.82/1.18 subsentry: 18870
% 0.82/1.18 literals s-matched: 7465
% 0.82/1.18 literals matched: 4999
% 0.82/1.18 full subsumption: 2126
% 0.82/1.18
% 0.82/1.18 checksum: 1046382289
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Bliksem ended
%------------------------------------------------------------------------------