TSTP Solution File: SWV155+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV155+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 16:22:44 EDT 2022
% Result : Theorem 1.47s 1.92s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV155+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.11 % Command : bliksem %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % DateTime : Thu Jun 16 00:04:29 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.51/0.94 *** allocated 10000 integers for termspace/termends
% 0.51/0.94 *** allocated 10000 integers for clauses
% 0.51/0.94 *** allocated 10000 integers for justifications
% 0.51/0.94 Bliksem 1.12
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 Automatic Strategy Selection
% 0.51/0.94
% 0.51/0.94 *** allocated 15000 integers for termspace/termends
% 0.51/0.94
% 0.51/0.94 Clauses:
% 0.51/0.94
% 0.51/0.94 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.51/0.94 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.51/0.94 { ! gt( X, X ) }.
% 0.51/0.94 { leq( X, X ) }.
% 0.51/0.94 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.51/0.94 { ! lt( X, Y ), gt( Y, X ) }.
% 0.51/0.94 { ! gt( Y, X ), lt( X, Y ) }.
% 0.51/0.94 { ! geq( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( Y, X ), geq( X, Y ) }.
% 0.51/0.94 { ! gt( Y, X ), leq( X, Y ) }.
% 0.51/0.94 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.51/0.94 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.51/0.94 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.51/0.94 { gt( succ( X ), X ) }.
% 0.51/0.94 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.51/0.94 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.51/0.94 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.51/0.94 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.51/0.94 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.51/0.94 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.51/0.94 T ), X ) = T }.
% 0.51/0.94 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.51/0.94 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.51/0.94 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.51/0.94 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.51/0.94 a_select3( trans( X ), T, Z ) }.
% 0.51/0.94 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.51/0.94 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.51/0.94 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.51/0.94 ) }.
% 0.51/0.94 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.51/0.94 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.51/0.94 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.51/0.94 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.51/0.94 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.51/0.94 a_select3( inv( X ), T, Z ) }.
% 0.51/0.94 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.51/0.94 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.51/0.94 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.51/0.94 .
% 0.51/0.94 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.51/0.94 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.51/0.94 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.51/0.94 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.51/0.94 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.51/0.94 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.51/0.94 X, U, U, W ), T, Z ) }.
% 0.51/0.94 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.51/0.94 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.51/0.94 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.51/0.94 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.51/0.94 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.51/0.94 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.51/0.94 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.51/0.94 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.51/0.94 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.51/0.94 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.51/0.94 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.51/0.94 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.51/0.94 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.51/0.94 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.51/0.94 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.51/0.94 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.51/0.94 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.51/0.94 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.51/0.94 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.51/0.94 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.51/0.94 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.51/0.94 ( X, Y ) }.
% 0.51/0.94 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.51/0.94 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.51/0.94 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.51/0.94 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.51/0.94 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.51/0.94 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.51/0.94 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.51/0.94 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.51/0.94 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.51/0.94 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.51/0.94 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.51/0.94 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.51/0.94 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.51/0.94 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.51/0.94 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.51/0.94 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.51/0.94 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.51/0.94 ( X, Y ) }.
% 0.51/0.94 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.51/0.94 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.51/0.94 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.51/0.94 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.51/0.94 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.51/0.94 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.51/0.94 U ) ) ), T, Z ) }.
% 0.51/0.94 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.51/0.94 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.51/0.94 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.51/0.94 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.51/0.94 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.51/0.94 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.51/0.94 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.51/0.94 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.51/0.94 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.51/0.94 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.51/0.94 W ) ) ), T, Z ) }.
% 0.51/0.94 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.51/0.94 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.51/0.94 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.51/0.94 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.51/0.94 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.51/0.94 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.51/0.94 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.51/0.94 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.51/0.94 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.51/0.94 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.51/0.94 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.51/0.94 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.51/0.94 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.51/0.94 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.51/0.94 ) }.
% 0.51/0.94 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.51/0.94 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.51/0.94 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.51/0.94 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.51/0.94 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.51/0.94 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.51/0.94 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.51/0.94 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.51/0.94 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.51/0.94 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.51/0.94 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.51/0.94 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.51/0.94 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.51/0.94 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.51/0.94 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.51/0.94 alpha19( X, Y ) }.
% 0.51/0.94 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.51/0.94 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.51/0.94 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.51/0.94 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.51/0.94 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.51/0.94 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.51/0.94 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.51/0.94 ), alpha8( X ) }.
% 0.51/0.94 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.51/0.94 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.51/0.94 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.51/0.94 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.51/0.94 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.51/0.94 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.51/0.94 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.51/0.94 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.51/0.94 { succ( tptp_minus_1 ) = n0 }.
% 0.51/0.94 { plus( X, n1 ) = succ( X ) }.
% 0.51/0.94 { plus( n1, X ) = succ( X ) }.
% 0.51/0.94 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.51/0.94 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.51/0.94 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.51/0.94 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.51/0.94 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.51/0.94 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.51/0.94 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.51/0.94 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.51/0.94 { minus( X, n1 ) = pred( X ) }.
% 0.51/0.94 { pred( succ( X ) ) = X }.
% 0.51/0.94 { succ( pred( X ) ) = X }.
% 0.51/0.94 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.51/0.94 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.51/0.94 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.51/0.94 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.51/0.94 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.51/0.94 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.51/0.94 , Y, V0 ), Z, T ) = W }.
% 0.51/0.94 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.51/0.94 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.51/0.94 }.
% 0.51/0.94 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.51/0.94 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.51/0.94 U, Z, T, W ), X, Y ) = W }.
% 0.51/0.94 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.51/0.94 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.51/0.94 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.51/0.94 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.51/0.94 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.51/0.94 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.51/0.94 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.51/0.94 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.51/0.94 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.51/0.94 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.51/0.94 T }.
% 0.51/0.94 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.51/0.94 tptp_update2( Z, Y, T ), X ) = T }.
% 0.51/0.94 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.51/0.94 tptp_update2( Z, Y, T ), X ) = T }.
% 0.51/0.94 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.51/0.94 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.51/0.94 { true }.
% 0.51/0.94 { ! def = use }.
% 0.51/0.94 { pv70 = sum( n0, n4, sqrt( times( minus( a_select3( center, tptp_sum_index
% 0.51/0.94 , n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, tptp_sum_index
% 0.51/0.94 , n0 ), a_select2( x, pv10 ) ) ) ) ) }.
% 0.51/0.94 { leq( n0, pv10 ) }.
% 0.51/0.94 { leq( n0, pv12 ) }.
% 0.51/0.94 { leq( pv10, n135299 ) }.
% 0.51/0.94 { leq( pv12, n4 ) }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, pred( pv12 ) ), a_select3( q, pv10, X ) =
% 0.51/0.94 divide( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x,
% 0.51/0.94 pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ),
% 0.51/0.94 sum( n0, n4, sqrt( times( minus( a_select3( center, tptp_sum_index, n0 )
% 0.51/0.94 , a_select2( x, pv10 ) ), minus( a_select3( center, tptp_sum_index, n0 )
% 0.51/0.94 , a_select2( x, pv10 ) ) ) ) ) ) }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), sum( n0, n4, a_select3( q, X,
% 0.51/0.94 tptp_sum_index ) ) = n1 }.
% 0.51/0.94 { leq( n0, skol15 ) }.
% 0.51/0.94 { leq( skol15, pred( pv10 ) ) }.
% 0.51/0.94 { ! pv10 = skol15 }.
% 0.51/0.94 { ! sum( n0, n4, a_select3( q, skol15, tptp_sum_index ) ) = n1 }.
% 0.51/0.94 { gt( n5, n4 ) }.
% 0.51/0.94 { gt( n135299, n4 ) }.
% 0.51/0.94 { gt( n135299, n5 ) }.
% 0.51/0.94 { gt( n4, tptp_minus_1 ) }.
% 0.51/0.94 { gt( n5, tptp_minus_1 ) }.
% 0.51/0.94 { gt( n135299, tptp_minus_1 ) }.
% 0.51/0.94 { gt( n0, tptp_minus_1 ) }.
% 0.51/0.94 { gt( n1, tptp_minus_1 ) }.
% 0.51/0.94 { gt( n2, tptp_minus_1 ) }.
% 0.51/0.94 { gt( n3, tptp_minus_1 ) }.
% 0.51/0.94 { gt( n4, n0 ) }.
% 0.51/0.94 { gt( n5, n0 ) }.
% 0.51/0.94 { gt( n135299, n0 ) }.
% 0.51/0.94 { gt( n1, n0 ) }.
% 0.51/0.94 { gt( n2, n0 ) }.
% 0.51/0.94 { gt( n3, n0 ) }.
% 0.51/0.94 { gt( n4, n1 ) }.
% 0.51/0.94 { gt( n5, n1 ) }.
% 0.51/0.94 { gt( n135299, n1 ) }.
% 0.51/0.94 { gt( n2, n1 ) }.
% 0.51/0.94 { gt( n3, n1 ) }.
% 0.51/0.94 { gt( n4, n2 ) }.
% 0.51/0.94 { gt( n5, n2 ) }.
% 0.51/0.94 { gt( n135299, n2 ) }.
% 0.51/0.94 { gt( n3, n2 ) }.
% 0.51/0.94 { gt( n4, n3 ) }.
% 0.51/0.94 { gt( n5, n3 ) }.
% 0.51/0.94 { gt( n135299, n3 ) }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.51/0.94 .
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.51/0.94 = n5 }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.51/0.94 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.51/0.94 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.51/0.94 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.51/0.94 { succ( n0 ) = n1 }.
% 0.51/0.94 { succ( succ( n0 ) ) = n2 }.
% 0.51/0.94 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.51/0.94
% 0.51/0.94 percentage equality = 0.184644, percentage horn = 0.873303
% 0.51/0.94 This is a problem with some equality
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94
% 0.51/0.94 Options Used:
% 0.51/0.94
% 0.51/0.94 useres = 1
% 0.51/0.94 useparamod = 1
% 0.51/0.94 useeqrefl = 1
% 0.51/0.94 useeqfact = 1
% 0.51/0.94 usefactor = 1
% 0.51/0.94 usesimpsplitting = 0
% 0.51/0.94 usesimpdemod = 5
% 0.51/0.94 usesimpres = 3
% 0.51/0.94
% 0.51/0.94 resimpinuse = 1000
% 0.51/0.94 resimpclauses = 20000
% 0.51/0.94 substype = eqrewr
% 0.51/0.94 backwardsubs = 1
% 0.51/0.94 selectoldest = 5
% 0.51/0.94
% 0.51/0.94 litorderings [0] = split
% 0.51/0.94 litorderings [1] = extend the termordering, first sorting on arguments
% 0.51/0.94
% 0.51/0.94 termordering = kbo
% 0.51/0.94
% 0.51/0.94 litapriori = 0
% 0.51/0.94 termapriori = 1
% 0.51/0.94 litaposteriori = 0
% 0.51/0.94 termaposteriori = 0
% 0.51/0.94 demodaposteriori = 0
% 0.51/0.94 ordereqreflfact = 0
% 0.51/0.94
% 0.51/0.94 litselect = negord
% 0.51/0.94
% 0.51/0.94 maxweight = 15
% 0.51/0.94 maxdepth = 30000
% 0.51/0.94 maxlength = 115
% 0.51/0.94 maxnrvars = 195
% 0.51/0.94 excuselevel = 1
% 0.51/0.94 increasemaxweight = 1
% 0.51/0.94
% 0.51/0.94 maxselected = 10000000
% 0.51/0.94 maxnrclauses = 10000000
% 0.51/0.94
% 0.51/0.94 showgenerated = 0
% 0.51/0.94 showkept = 0
% 0.51/0.94 showselected = 0
% 0.51/0.94 showdeleted = 0
% 0.51/0.94 showresimp = 1
% 0.51/0.94 showstatus = 2000
% 0.51/0.94
% 0.51/0.94 prologoutput = 0
% 0.51/0.94 nrgoals = 5000000
% 0.51/0.94 totalproof = 1
% 0.51/0.94
% 0.51/0.94 Symbols occurring in the translation:
% 0.51/0.94
% 0.51/0.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.51/0.94 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.51/0.94 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 0.51/0.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.92 gt [37, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.47/1.92 leq [39, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.47/1.92 lt [40, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.47/1.92 geq [41, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.47/1.92 pred [42, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.47/1.92 succ [43, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.47/1.92 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.47/1.92 uniform_int_rnd [46, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.47/1.92 dim [51, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.47/1.92 tptp_const_array1 [52, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.47/1.92 a_select2 [53, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.47/1.92 tptp_const_array2 [59, 3] (w:1, o:146, a:1, s:1, b:0),
% 1.47/1.92 a_select3 [60, 3] (w:1, o:147, a:1, s:1, b:0),
% 1.47/1.92 trans [63, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.47/1.92 inv [64, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.47/1.92 tptp_update3 [67, 4] (w:1, o:164, a:1, s:1, b:0),
% 1.47/1.92 tptp_madd [69, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.47/1.92 tptp_msub [70, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.47/1.92 tptp_mmul [71, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.47/1.92 tptp_minus_1 [77, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.47/1.92 sum [78, 3] (w:1, o:144, a:1, s:1, b:0),
% 1.47/1.92 tptp_float_0_0 [79, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.47/1.92 n1 [80, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.47/1.92 plus [81, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.47/1.92 n2 [82, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.47/1.92 n3 [83, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.47/1.92 n4 [84, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.47/1.92 n5 [85, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.47/1.92 minus [86, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.47/1.92 tptp_update2 [91, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.47/1.92 true [92, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.47/1.92 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.47/1.92 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.47/1.92 pv70 [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.47/1.92 center [96, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.47/1.92 tptp_sum_index [97, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.47/1.92 x [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.47/1.92 pv10 [99, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.47/1.92 times [100, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.47/1.92 sqrt [101, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.47/1.92 pv12 [102, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.47/1.92 n135299 [103, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.47/1.92 q [104, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.47/1.92 divide [105, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.47/1.92 alpha1 [106, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.47/1.92 alpha2 [107, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.47/1.92 alpha3 [108, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.47/1.92 alpha4 [109, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.47/1.92 alpha5 [110, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.47/1.92 alpha6 [111, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.47/1.92 alpha7 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.47/1.92 alpha8 [113, 1] (w:1, o:64, a:1, s:1, b:1),
% 1.47/1.92 alpha9 [114, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.47/1.92 alpha10 [115, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.47/1.92 alpha11 [116, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.47/1.92 alpha12 [117, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.47/1.92 alpha13 [118, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.47/1.92 alpha14 [119, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.47/1.92 alpha15 [120, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.47/1.92 alpha16 [121, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.47/1.92 alpha17 [122, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.47/1.92 alpha18 [123, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.47/1.92 alpha19 [124, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.47/1.92 alpha20 [125, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.47/1.92 alpha21 [126, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.47/1.92 alpha22 [127, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.47/1.92 alpha23 [128, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.47/1.92 alpha24 [129, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.47/1.92 alpha25 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.47/1.92 alpha26 [131, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.47/1.92 alpha27 [132, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.47/1.92 alpha28 [133, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.47/1.92 alpha29 [134, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.47/1.92 alpha30 [135, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.47/1.92 skol1 [136, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.47/1.92 skol2 [137, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.47/1.92 skol3 [138, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.47/1.92 skol4 [139, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.47/1.92 skol5 [140, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.47/1.92 skol6 [141, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.47/1.92 skol7 [142, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.47/1.92 skol8 [143, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.47/1.92 skol9 [144, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.47/1.92 skol10 [145, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.47/1.92 skol11 [146, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.47/1.92 skol12 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.47/1.92 skol13 [148, 4] (w:1, o:162, a:1, s:1, b:1),
% 1.47/1.92 skol14 [149, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.47/1.92 skol15 [150, 0] (w:1, o:32, a:1, s:1, b:1),
% 1.47/1.92 skol16 [151, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.47/1.92 skol17 [152, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.47/1.92 skol18 [153, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.47/1.92 skol19 [154, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.47/1.92 skol20 [155, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.47/1.92 skol21 [156, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.47/1.92 skol22 [157, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.47/1.92 skol23 [158, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.47/1.92 skol24 [159, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.47/1.92 skol25 [160, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.47/1.92 skol26 [161, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.47/1.92 skol27 [162, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.47/1.92 skol28 [163, 4] (w:1, o:163, a:1, s:1, b:1),
% 1.47/1.92 skol29 [164, 1] (w:1, o:61, a:1, s:1, b:1).
% 1.47/1.92
% 1.47/1.92
% 1.47/1.92 Starting Search:
% 1.47/1.92
% 1.47/1.92 *** allocated 15000 integers for clauses
% 1.47/1.92 *** allocated 22500 integers for clauses
% 1.47/1.92 *** allocated 33750 integers for clauses
% 1.47/1.92 *** allocated 22500 integers for termspace/termends
% 1.47/1.92 *** allocated 50625 integers for clauses
% 1.47/1.92 *** allocated 75937 integers for clauses
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 33750 integers for termspace/termends
% 1.47/1.92 *** allocated 113905 integers for clauses
% 1.47/1.92 *** allocated 50625 integers for termspace/termends
% 1.47/1.92
% 1.47/1.92 Intermediate Status:
% 1.47/1.92 Generated: 7959
% 1.47/1.92 Kept: 2039
% 1.47/1.92 Inuse: 171
% 1.47/1.92 Deleted: 0
% 1.47/1.92 Deletedinuse: 0
% 1.47/1.92
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 170857 integers for clauses
% 1.47/1.92 *** allocated 75937 integers for termspace/termends
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 256285 integers for clauses
% 1.47/1.92 *** allocated 113905 integers for termspace/termends
% 1.47/1.92
% 1.47/1.92 Intermediate Status:
% 1.47/1.92 Generated: 16198
% 1.47/1.92 Kept: 4079
% 1.47/1.92 Inuse: 326
% 1.47/1.92 Deleted: 0
% 1.47/1.92 Deletedinuse: 0
% 1.47/1.92
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 170857 integers for termspace/termends
% 1.47/1.92 *** allocated 384427 integers for clauses
% 1.47/1.92
% 1.47/1.92 Intermediate Status:
% 1.47/1.92 Generated: 23558
% 1.47/1.92 Kept: 6152
% 1.47/1.92 Inuse: 461
% 1.47/1.92 Deleted: 0
% 1.47/1.92 Deletedinuse: 0
% 1.47/1.92
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 256285 integers for termspace/termends
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92
% 1.47/1.92 Intermediate Status:
% 1.47/1.92 Generated: 31685
% 1.47/1.92 Kept: 8299
% 1.47/1.92 Inuse: 556
% 1.47/1.92 Deleted: 0
% 1.47/1.92 Deletedinuse: 0
% 1.47/1.92
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 576640 integers for clauses
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92
% 1.47/1.92 Intermediate Status:
% 1.47/1.92 Generated: 36597
% 1.47/1.92 Kept: 10300
% 1.47/1.92 Inuse: 726
% 1.47/1.92 Deleted: 0
% 1.47/1.92 Deletedinuse: 0
% 1.47/1.92
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 384427 integers for termspace/termends
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92
% 1.47/1.92 Intermediate Status:
% 1.47/1.92 Generated: 44833
% 1.47/1.92 Kept: 12377
% 1.47/1.92 Inuse: 800
% 1.47/1.92 Deleted: 13
% 1.47/1.92 Deletedinuse: 12
% 1.47/1.92
% 1.47/1.92 Resimplifying inuse:
% 1.47/1.92 Done
% 1.47/1.92
% 1.47/1.92 *** allocated 864960 integers for clauses
% 1.47/1.92
% 1.47/1.92 Bliksems!, er is een bewijs:
% 1.47/1.92 % SZS status Theorem
% 1.47/1.92 % SZS output start Refutation
% 1.47/1.92
% 1.47/1.92 (177) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 1.47/1.92 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 1.47/1.92 (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.47/1.92 (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.47/1.92 (181) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q, skol15,
% 1.47/1.92 tptp_sum_index ) ) ==> n1 }.
% 1.47/1.92 (13420) {G1,W9,D4,L1,V0,M1} R(177,178);r(179) { sum( n0, n4, a_select3( q,
% 1.47/1.92 skol15, tptp_sum_index ) ) ==> n1 }.
% 1.47/1.92 (13606) {G2,W0,D0,L0,V0,M0} S(181);d(13420);q { }.
% 1.47/1.92
% 1.47/1.92
% 1.47/1.92 % SZS output end Refutation
% 1.47/1.92 found a proof!
% 1.47/1.92
% 1.47/1.92
% 1.47/1.92 Unprocessed initial clauses:
% 1.47/1.92
% 1.47/1.92 (13608) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.47/1.92 (13609) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.47/1.92 (13610) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.47/1.92 (13611) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.47/1.92 (13612) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.47/1.92 }.
% 1.47/1.92 (13613) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.47/1.92 (13614) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.47/1.92 (13615) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13616) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.47/1.92 (13617) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.47/1.92 (13618) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.47/1.92 (13619) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.47/1.92 (13620) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.47/1.92 (13621) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.47/1.92 (13622) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.47/1.92 (13623) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.47/1.92 (13624) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.47/1.92 (13625) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.47/1.92 , X ) }.
% 1.47/1.92 (13626) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.47/1.92 , X ) ) }.
% 1.47/1.92 (13627) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.47/1.92 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.47/1.92 (13628) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.47/1.92 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.47/1.92 V0 ), X, T ) = V0 }.
% 1.47/1.92 (13629) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.47/1.92 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.47/1.92 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.47/1.92 (13630) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.47/1.92 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.47/1.92 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.47/1.92 = a_select3( trans( X ), T, Z ) }.
% 1.47/1.92 (13631) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.47/1.92 (13632) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13633) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13634) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha10( X, Y, Z ) }.
% 1.47/1.92 (13635) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13636) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13637) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13638) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.47/1.92 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.47/1.92 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.47/1.92 (13639) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.47/1.92 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.47/1.92 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.47/1.92 a_select3( inv( X ), T, Z ) }.
% 1.47/1.92 (13640) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.47/1.92 (13641) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13642) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13643) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha11( X, Y, Z ) }.
% 1.47/1.92 (13644) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13645) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13646) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13647) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.47/1.92 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.47/1.92 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.47/1.92 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.47/1.92 (13648) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.47/1.92 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.47/1.92 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.47/1.92 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.47/1.92 ( X, U, U, W ), T, Z ) }.
% 1.47/1.92 (13649) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.47/1.92 (13650) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13651) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13652) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha12( X, Y, Z ) }.
% 1.47/1.92 (13653) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13654) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13655) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13656) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.47/1.92 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.47/1.92 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.47/1.92 ), U, T ) }.
% 1.47/1.92 (13657) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.47/1.92 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.47/1.92 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.47/1.92 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.47/1.92 (13658) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.47/1.92 (13659) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13660) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13661) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha22( X, Y, Z ) }.
% 1.47/1.92 (13662) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13663) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13664) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13665) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.47/1.92 , skol20( X, Y ) ) }.
% 1.47/1.92 (13666) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.47/1.92 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.47/1.92 }.
% 1.47/1.92 (13667) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.47/1.92 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.47/1.92 (13668) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.47/1.92 (13669) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13670) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13671) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha23( X, Y, Z ) }.
% 1.47/1.92 (13672) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13673) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13674) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13675) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.47/1.92 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.47/1.92 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.47/1.92 ), U, T ) }.
% 1.47/1.92 (13676) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.47/1.92 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.47/1.92 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.47/1.92 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.47/1.92 (13677) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.47/1.92 (13678) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13679) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13680) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha24( X, Y, Z ) }.
% 1.47/1.92 (13681) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13682) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13683) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13684) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.47/1.92 , skol22( X, Y ) ) }.
% 1.47/1.92 (13685) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.47/1.92 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.47/1.92 }.
% 1.47/1.92 (13686) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.47/1.92 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.47/1.92 (13687) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.47/1.92 (13688) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13689) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13690) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha25( X, Y, Z ) }.
% 1.47/1.92 (13691) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13692) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13693) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13694) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.47/1.92 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.47/1.92 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.47/1.92 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.47/1.92 (13695) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.47/1.92 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.47/1.92 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.47/1.92 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.47/1.92 ( X, trans( U ) ) ), T, Z ) }.
% 1.47/1.92 (13696) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.47/1.92 (13697) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13698) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13699) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha17( X, Y, Z ) }.
% 1.47/1.92 (13700) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13701) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13702) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13703) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.47/1.92 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.47/1.92 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.47/1.92 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.47/1.92 (13704) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.47/1.92 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.47/1.92 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.47/1.92 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.47/1.92 ( X, trans( W ) ) ), T, Z ) }.
% 1.47/1.92 (13705) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.47/1.92 (13706) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13707) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13708) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha18( X, Y, Z ) }.
% 1.47/1.92 (13709) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13710) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13711) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13712) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.47/1.92 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.47/1.92 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.47/1.92 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.47/1.92 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.47/1.92 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.47/1.92 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.47/1.92 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.47/1.92 (13713) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.47/1.92 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.47/1.92 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.47/1.92 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.47/1.92 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.47/1.92 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.47/1.92 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.47/1.92 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.47/1.92 ) ), W, U ) }.
% 1.47/1.92 (13714) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.47/1.92 (13715) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13716) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13717) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha29( X, Y, Z ) }.
% 1.47/1.92 (13718) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13719) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13720) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13721) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.47/1.92 ), skol26( X, Y ) ) }.
% 1.47/1.92 (13722) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.47/1.92 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.47/1.92 }.
% 1.47/1.92 (13723) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.47/1.92 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.47/1.92 (13724) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.47/1.92 (13725) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13726) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13727) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha30( X, Y, Z ) }.
% 1.47/1.92 (13728) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13729) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13730) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13731) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.47/1.92 skol27( X, Y ) ) }.
% 1.47/1.92 (13732) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.47/1.92 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.47/1.92 (13733) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.47/1.92 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.47/1.92 (13734) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.47/1.92 (13735) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.47/1.92 (13736) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.47/1.92 (13737) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.47/1.92 , X ), alpha28( X, Y, Z ) }.
% 1.47/1.92 (13738) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13739) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.47/1.92 (13740) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13741) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.47/1.92 (13742) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.47/1.92 }.
% 1.47/1.92 (13743) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.47/1.92 (13744) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.47/1.92 (13745) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.47/1.92 (13746) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.47/1.92 (13747) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.47/1.92 (13748) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.47/1.92 }.
% 1.47/1.92 (13749) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.47/1.92 }.
% 1.47/1.92 (13750) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.47/1.92 ) ) ) }.
% 1.47/1.92 (13751) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.47/1.92 ) ) ) }.
% 1.47/1.92 (13752) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.47/1.92 succ( X ) ) ) ) ) }.
% 1.47/1.92 (13753) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.47/1.92 succ( X ) ) ) ) ) }.
% 1.47/1.92 (13754) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.47/1.92 (13755) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.47/1.92 (13756) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.47/1.92 (13757) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.47/1.92 }.
% 1.47/1.92 (13758) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.47/1.92 }.
% 1.47/1.92 (13759) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.47/1.92 (13760) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.47/1.92 (13761) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.47/1.92 ) = T }.
% 1.47/1.92 (13762) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.47/1.92 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.47/1.92 (13763) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.47/1.92 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.47/1.92 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.47/1.92 (13764) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.47/1.92 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.47/1.92 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.47/1.92 (13765) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.47/1.92 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.47/1.92 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.47/1.92 (13766) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.47/1.92 (13767) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.47/1.92 (13768) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.47/1.92 , Y, Z ) }.
% 1.47/1.92 (13769) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.47/1.92 (13770) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.47/1.92 (13771) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.47/1.92 ) }.
% 1.47/1.92 (13772) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.47/1.92 }.
% 1.47/1.92 (13773) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.47/1.92 tptp_update2( Z, X, U ), Y ) = T }.
% 1.47/1.92 (13774) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.47/1.92 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.47/1.92 (13775) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.47/1.92 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.47/1.92 (13776) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.47/1.92 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.47/1.92 }.
% 1.47/1.92 (13777) {G0,W1,D1,L1,V0,M1} { true }.
% 1.47/1.92 (13778) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.47/1.92 (13779) {G0,W23,D7,L1,V0,M1} { pv70 = sum( n0, n4, sqrt( times( minus(
% 1.47/1.92 a_select3( center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ), minus(
% 1.47/1.92 a_select3( center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ) ) ) ) }.
% 1.47/1.92 (13780) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.47/1.92 (13781) {G0,W3,D2,L1,V0,M1} { leq( n0, pv12 ) }.
% 1.47/1.92 (13782) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 1.47/1.92 (13783) {G0,W3,D2,L1,V0,M1} { leq( pv12, n4 ) }.
% 1.47/1.92 (13784) {G0,W52,D8,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv12 ) ),
% 1.47/1.92 a_select3( q, pv10, X ) = divide( sqrt( times( minus( a_select3( center,
% 1.47/1.92 X, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ),
% 1.47/1.92 a_select2( x, pv10 ) ) ) ), sum( n0, n4, sqrt( times( minus( a_select3(
% 1.47/1.92 center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 1.47/1.92 center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ) ) ) ) ) }.
% 1.47/1.92 (13785) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 1.47/1.92 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 1.47/1.92 (13786) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.47/1.92 (13787) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 1.47/1.92 (13788) {G0,W3,D2,L1,V0,M1} { ! pv10 = skol15 }.
% 1.47/1.92 (13789) {G0,W9,D4,L1,V0,M1} { ! sum( n0, n4, a_select3( q, skol15,
% 1.47/1.92 tptp_sum_index ) ) = n1 }.
% 1.47/1.92 (13790) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.47/1.92 (13791) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.47/1.92 (13792) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.47/1.92 (13793) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.47/1.92 (13794) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.47/1.92 (13795) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.47/1.92 (13796) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.47/1.92 (13797) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.47/1.92 (13798) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.47/1.92 (13799) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.47/1.92 (13800) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.47/1.92 (13801) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.47/1.92 (13802) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.47/1.92 (13803) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.47/1.92 (13804) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.47/1.92 (13805) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.47/1.92 (13806) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.47/1.92 (13807) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.47/1.92 (13808) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.47/1.92 (13809) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.47/1.92 (13810) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.47/1.92 (13811) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.47/1.92 (13812) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.47/1.92 (13813) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.47/1.92 (13814) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.47/1.92 (13815) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.47/1.92 (13816) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.47/1.92 (13817) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.47/1.92 (13818) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.47/1.92 n1, X = n2, X = n3, X = n4 }.
% 1.47/1.92 (13819) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.47/1.92 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.56/1.94 (13820) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.56/1.94 (13821) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.56/1.94 n1 }.
% 1.56/1.94 (13822) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.56/1.94 n1, X = n2 }.
% 1.56/1.94 (13823) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.56/1.94 n1, X = n2, X = n3 }.
% 1.56/1.94 (13824) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.56/1.94 (13825) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.56/1.94 n5 }.
% 1.56/1.94 (13826) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.56/1.94 (13827) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.56/1.94 (13828) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.56/1.94
% 1.56/1.94
% 1.56/1.94 Total Proof:
% 1.56/1.94
% 1.56/1.94 subsumption: (177) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred
% 1.56/1.94 ( pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 parent0: (13785) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred(
% 1.56/1.94 pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 1.56/1.94 substitution0:
% 1.56/1.94 X := X
% 1.56/1.94 end
% 1.56/1.94 permutation0:
% 1.56/1.94 0 ==> 0
% 1.56/1.94 1 ==> 1
% 1.56/1.94 2 ==> 2
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 subsumption: (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.56/1.94 parent0: (13786) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94 permutation0:
% 1.56/1.94 0 ==> 0
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 *** allocated 576640 integers for termspace/termends
% 1.56/1.94 subsumption: (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.56/1.94 parent0: (13787) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94 permutation0:
% 1.56/1.94 0 ==> 0
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 subsumption: (181) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q,
% 1.56/1.94 skol15, tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 parent0: (13789) {G0,W9,D4,L1,V0,M1} { ! sum( n0, n4, a_select3( q, skol15
% 1.56/1.94 , tptp_sum_index ) ) = n1 }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94 permutation0:
% 1.56/1.94 0 ==> 0
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 eqswap: (15951) {G0,W16,D4,L3,V1,M3} { n1 ==> sum( n0, n4, a_select3( q, X
% 1.56/1.94 , tptp_sum_index ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 1.56/1.94 parent0[2]: (177) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred(
% 1.56/1.94 pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 substitution0:
% 1.56/1.94 X := X
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 resolution: (15952) {G1,W13,D4,L2,V0,M2} { n1 ==> sum( n0, n4, a_select3(
% 1.56/1.94 q, skol15, tptp_sum_index ) ), ! leq( skol15, pred( pv10 ) ) }.
% 1.56/1.94 parent0[1]: (15951) {G0,W16,D4,L3,V1,M3} { n1 ==> sum( n0, n4, a_select3(
% 1.56/1.94 q, X, tptp_sum_index ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 1.56/1.94 parent1[0]: (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.56/1.94 substitution0:
% 1.56/1.94 X := skol15
% 1.56/1.94 end
% 1.56/1.94 substitution1:
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 resolution: (15953) {G1,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3( q
% 1.56/1.94 , skol15, tptp_sum_index ) ) }.
% 1.56/1.94 parent0[1]: (15952) {G1,W13,D4,L2,V0,M2} { n1 ==> sum( n0, n4, a_select3(
% 1.56/1.94 q, skol15, tptp_sum_index ) ), ! leq( skol15, pred( pv10 ) ) }.
% 1.56/1.94 parent1[0]: (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94 substitution1:
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 eqswap: (15954) {G1,W9,D4,L1,V0,M1} { sum( n0, n4, a_select3( q, skol15,
% 1.56/1.94 tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 parent0[0]: (15953) {G1,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3( q
% 1.56/1.94 , skol15, tptp_sum_index ) ) }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 subsumption: (13420) {G1,W9,D4,L1,V0,M1} R(177,178);r(179) { sum( n0, n4,
% 1.56/1.94 a_select3( q, skol15, tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 parent0: (15954) {G1,W9,D4,L1,V0,M1} { sum( n0, n4, a_select3( q, skol15,
% 1.56/1.94 tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94 permutation0:
% 1.56/1.94 0 ==> 0
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 paramod: (15957) {G1,W3,D2,L1,V0,M1} { ! n1 ==> n1 }.
% 1.56/1.94 parent0[0]: (13420) {G1,W9,D4,L1,V0,M1} R(177,178);r(179) { sum( n0, n4,
% 1.56/1.94 a_select3( q, skol15, tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 parent1[0; 2]: (181) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q,
% 1.56/1.94 skol15, tptp_sum_index ) ) ==> n1 }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94 substitution1:
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 eqrefl: (15958) {G0,W0,D0,L0,V0,M0} { }.
% 1.56/1.94 parent0[0]: (15957) {G1,W3,D2,L1,V0,M1} { ! n1 ==> n1 }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 subsumption: (13606) {G2,W0,D0,L0,V0,M0} S(181);d(13420);q { }.
% 1.56/1.94 parent0: (15958) {G0,W0,D0,L0,V0,M0} { }.
% 1.56/1.94 substitution0:
% 1.56/1.94 end
% 1.56/1.94 permutation0:
% 1.56/1.94 end
% 1.56/1.94
% 1.56/1.94 Proof check complete!
% 1.56/1.94
% 1.56/1.94 Memory use:
% 1.56/1.94
% 1.56/1.94 space for terms: 338412
% 1.56/1.94 space for clauses: 612873
% 1.56/1.94
% 1.56/1.94
% 1.56/1.94 clauses generated: 47902
% 1.56/1.94 clauses kept: 13607
% 1.56/1.94 clauses selected: 853
% 1.56/1.94 clauses deleted: 15
% 1.56/1.94 clauses inuse deleted: 12
% 1.56/1.94
% 1.56/1.94 subsentry: 138255
% 1.56/1.94 literals s-matched: 64741
% 1.56/1.94 literals matched: 53631
% 1.56/1.94 full subsumption: 38772
% 1.56/1.94
% 1.56/1.94 checksum: -819404680
% 1.56/1.94
% 1.56/1.94
% 1.56/1.94 Bliksem ended
%------------------------------------------------------------------------------