TSTP Solution File: SWV174+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV174+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 16:22:48 EDT 2022
% Result : Theorem 12.44s 12.84s
% Output : Refutation 12.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV174+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Wed Jun 15 13:17:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.19 *** allocated 10000 integers for termspace/termends
% 0.84/1.19 *** allocated 10000 integers for clauses
% 0.84/1.19 *** allocated 10000 integers for justifications
% 0.84/1.19 Bliksem 1.12
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 Automatic Strategy Selection
% 0.84/1.19
% 0.84/1.19
% 0.84/1.19 Clauses:
% 0.84/1.19
% 0.84/1.19 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.84/1.19 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.84/1.19 { ! gt( X, X ) }.
% 0.84/1.19 { leq( X, X ) }.
% 0.84/1.19 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.84/1.19 { ! lt( X, Y ), gt( Y, X ) }.
% 0.84/1.19 { ! gt( Y, X ), lt( X, Y ) }.
% 0.84/1.19 { ! geq( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( Y, X ), geq( X, Y ) }.
% 0.84/1.19 { ! gt( Y, X ), leq( X, Y ) }.
% 0.84/1.19 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.84/1.19 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.84/1.19 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.84/1.19 { gt( succ( X ), X ) }.
% 0.84/1.19 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.84/1.19 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.84/1.19 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.84/1.19 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.84/1.19 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.84/1.19 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.84/1.19 T ), X ) = T }.
% 0.84/1.19 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.84/1.19 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.84/1.19 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.84/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.84/1.19 a_select3( trans( X ), T, Z ) }.
% 0.84/1.19 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.84/1.19 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.84/1.19 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.84/1.19 ) }.
% 0.84/1.19 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.84/1.19 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.84/1.19 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.84/1.19 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.84/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.84/1.19 a_select3( inv( X ), T, Z ) }.
% 0.84/1.19 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.84/1.19 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.84/1.19 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.84/1.19 .
% 0.84/1.19 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.84/1.19 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.84/1.19 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.84/1.19 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.84/1.19 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.84/1.19 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.84/1.19 X, U, U, W ), T, Z ) }.
% 0.84/1.19 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.84/1.19 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.84/1.19 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.84/1.19 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.84/1.19 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.84/1.19 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.84/1.19 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.84/1.19 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.84/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.84/1.19 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.84/1.19 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.84/1.19 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.84/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.84/1.19 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.84/1.19 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.84/1.19 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.84/1.19 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.84/1.19 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.84/1.19 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.84/1.19 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.84/1.19 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.84/1.19 ( X, Y ) }.
% 0.84/1.19 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.84/1.19 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.84/1.19 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.84/1.19 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.84/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.84/1.19 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.84/1.19 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.84/1.19 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.84/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.84/1.19 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.84/1.19 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.84/1.19 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.84/1.19 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.84/1.19 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.84/1.19 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.84/1.19 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.84/1.19 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.84/1.19 ( X, Y ) }.
% 0.84/1.19 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.84/1.19 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.84/1.19 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.84/1.19 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.84/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.84/1.19 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.84/1.19 U ) ) ), T, Z ) }.
% 0.84/1.19 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.84/1.19 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.84/1.19 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.84/1.19 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.84/1.19 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.84/1.19 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.84/1.19 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.84/1.19 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.84/1.19 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.84/1.19 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.84/1.19 W ) ) ), T, Z ) }.
% 0.84/1.19 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.84/1.19 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.84/1.19 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.84/1.19 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.84/1.19 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.84/1.19 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.84/1.19 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.84/1.19 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.84/1.19 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.84/1.19 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.84/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.84/1.19 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.84/1.19 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.84/1.19 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.84/1.19 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.85/1.19 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.85/1.19 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.85/1.19 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.85/1.19 ) }.
% 0.85/1.19 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.85/1.19 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.85/1.19 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.85/1.19 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.85/1.19 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.85/1.19 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.85/1.19 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.85/1.19 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.85/1.19 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.85/1.19 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.85/1.19 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.85/1.19 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.85/1.19 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.85/1.19 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.85/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.85/1.19 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.85/1.19 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.85/1.19 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.85/1.19 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.85/1.19 alpha19( X, Y ) }.
% 0.85/1.19 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.85/1.19 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.85/1.19 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.85/1.19 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.85/1.19 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.85/1.19 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.85/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.85/1.19 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.85/1.19 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.85/1.19 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.85/1.19 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.85/1.19 ), alpha8( X ) }.
% 0.85/1.19 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.85/1.19 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.85/1.19 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.85/1.19 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.85/1.19 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.85/1.19 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.85/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.85/1.19 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.85/1.19 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.85/1.19 { succ( tptp_minus_1 ) = n0 }.
% 0.85/1.19 { plus( X, n1 ) = succ( X ) }.
% 0.85/1.19 { plus( n1, X ) = succ( X ) }.
% 0.85/1.19 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.85/1.19 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.85/1.19 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.85/1.19 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.85/1.19 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.85/1.19 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.85/1.19 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.85/1.19 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.85/1.19 { minus( X, n1 ) = pred( X ) }.
% 0.85/1.19 { pred( succ( X ) ) = X }.
% 0.85/1.19 { succ( pred( X ) ) = X }.
% 0.85/1.19 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.85/1.19 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.85/1.19 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.85/1.19 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.85/1.19 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.85/1.19 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.85/1.19 , Y, V0 ), Z, T ) = W }.
% 0.85/1.19 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.85/1.19 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.85/1.19 }.
% 0.85/1.19 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.85/1.19 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.85/1.19 U, Z, T, W ), X, Y ) = W }.
% 0.85/1.19 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.85/1.19 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.85/1.19 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.85/1.19 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.85/1.19 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.85/1.19 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.85/1.19 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.85/1.19 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.85/1.19 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.85/1.19 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.85/1.19 T }.
% 0.85/1.19 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.85/1.19 tptp_update2( Z, Y, T ), X ) = T }.
% 0.85/1.19 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.85/1.19 tptp_update2( Z, Y, T ), X ) = T }.
% 0.85/1.19 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.85/1.19 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.85/1.19 { true }.
% 0.85/1.19 { ! def = use }.
% 0.85/1.19 { leq( n0, pv10 ) }.
% 0.85/1.19 { leq( pv10, n135299 ) }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), ! leq( n0, Y ), ! leq( Y, n4 )
% 0.85/1.19 , a_select3( q_init, X, Y ) = init }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.85/1.19 .
% 0.85/1.19 { leq( n0, skol15 ) }.
% 0.85/1.19 { leq( n0, skol29 ) }.
% 0.85/1.19 { leq( skol15, n135299 ) }.
% 0.85/1.19 { leq( skol29, n4 ) }.
% 0.85/1.19 { gt( pv10, skol15 ) }.
% 0.85/1.19 { ! a_select3( q_init, skol15, skol29 ) = init }.
% 0.85/1.19 { gt( n5, n4 ) }.
% 0.85/1.19 { gt( n135299, n4 ) }.
% 0.85/1.19 { gt( n135299, n5 ) }.
% 0.85/1.19 { gt( n4, tptp_minus_1 ) }.
% 0.85/1.19 { gt( n5, tptp_minus_1 ) }.
% 0.85/1.19 { gt( n135299, tptp_minus_1 ) }.
% 0.85/1.19 { gt( n0, tptp_minus_1 ) }.
% 0.85/1.19 { gt( n1, tptp_minus_1 ) }.
% 0.85/1.19 { gt( n2, tptp_minus_1 ) }.
% 0.85/1.19 { gt( n3, tptp_minus_1 ) }.
% 0.85/1.19 { gt( n4, n0 ) }.
% 0.85/1.19 { gt( n5, n0 ) }.
% 0.85/1.19 { gt( n135299, n0 ) }.
% 0.85/1.19 { gt( n1, n0 ) }.
% 0.85/1.19 { gt( n2, n0 ) }.
% 0.85/1.19 { gt( n3, n0 ) }.
% 0.85/1.19 { gt( n4, n1 ) }.
% 0.85/1.19 { gt( n5, n1 ) }.
% 0.85/1.19 { gt( n135299, n1 ) }.
% 0.85/1.19 { gt( n2, n1 ) }.
% 0.85/1.19 { gt( n3, n1 ) }.
% 0.85/1.19 { gt( n4, n2 ) }.
% 0.85/1.19 { gt( n5, n2 ) }.
% 0.85/1.19 { gt( n135299, n2 ) }.
% 0.85/1.19 { gt( n3, n2 ) }.
% 0.85/1.19 { gt( n4, n3 ) }.
% 0.85/1.19 { gt( n5, n3 ) }.
% 0.85/1.19 { gt( n135299, n3 ) }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.85/1.19 .
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.85/1.19 = n5 }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.85/1.19 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.85/1.19 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.85/1.20 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.85/1.20 { succ( n0 ) = n1 }.
% 0.85/1.20 { succ( succ( n0 ) ) = n2 }.
% 0.85/1.20 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.85/1.20
% 0.85/1.20 percentage equality = 0.180657, percentage horn = 0.872727
% 0.85/1.20 This is a problem with some equality
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Options Used:
% 0.85/1.20
% 0.85/1.20 useres = 1
% 0.85/1.20 useparamod = 1
% 0.85/1.20 useeqrefl = 1
% 0.85/1.20 useeqfact = 1
% 0.85/1.20 usefactor = 1
% 0.85/1.20 usesimpsplitting = 0
% 0.85/1.20 usesimpdemod = 5
% 0.85/1.20 usesimpres = 3
% 0.85/1.20
% 0.85/1.20 resimpinuse = 1000
% 0.85/1.20 resimpclauses = 20000
% 0.85/1.20 substype = eqrewr
% 0.85/1.20 backwardsubs = 1
% 0.85/1.20 selectoldest = 5
% 0.85/1.20
% 0.85/1.20 litorderings [0] = split
% 0.85/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.20
% 0.85/1.20 termordering = kbo
% 0.85/1.20
% 0.85/1.20 litapriori = 0
% 0.85/1.20 termapriori = 1
% 0.85/1.20 litaposteriori = 0
% 0.85/1.20 termaposteriori = 0
% 0.85/1.20 demodaposteriori = 0
% 0.85/1.20 ordereqreflfact = 0
% 0.85/1.20
% 0.85/1.20 litselect = negord
% 0.85/1.20
% 0.85/1.20 maxweight = 15
% 0.85/1.20 maxdepth = 30000
% 0.85/1.20 maxlength = 115
% 0.85/1.20 maxnrvars = 195
% 0.85/1.20 excuselevel = 1
% 0.85/1.20 increasemaxweight = 1
% 0.85/1.20
% 0.85/1.20 maxselected = 10000000
% 0.85/1.20 maxnrclauses = 10000000
% 0.85/1.20
% 0.85/1.20 showgenerated = 0
% 0.85/1.20 showkept = 0
% 0.85/1.20 showselected = 0
% 0.85/1.20 showdeleted = 0
% 0.85/1.20 showresimp = 1
% 0.85/1.20 showstatus = 2000
% 0.85/1.20
% 0.85/1.20 prologoutput = 0
% 0.85/1.20 nrgoals = 5000000
% 0.85/1.20 totalproof = 1
% 0.85/1.20
% 0.85/1.20 Symbols occurring in the translation:
% 0.85/1.20
% 0.85/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.20 . [1, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.85/1.20 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 0.85/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 gt [37, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.85/1.20 leq [39, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.85/1.20 lt [40, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.85/1.20 geq [41, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.85/1.20 pred [42, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.85/1.20 succ [43, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.85/1.20 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.85/1.20 uniform_int_rnd [46, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.85/1.20 dim [51, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.85/1.20 tptp_const_array1 [52, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.85/1.20 a_select2 [53, 2] (w:1, o:120, a:1, s:1, b:0),
% 12.44/12.84 tptp_const_array2 [59, 3] (w:1, o:141, a:1, s:1, b:0),
% 12.44/12.84 a_select3 [60, 3] (w:1, o:142, a:1, s:1, b:0),
% 12.44/12.84 trans [63, 1] (w:1, o:59, a:1, s:1, b:0),
% 12.44/12.84 inv [64, 1] (w:1, o:60, a:1, s:1, b:0),
% 12.44/12.84 tptp_update3 [67, 4] (w:1, o:159, a:1, s:1, b:0),
% 12.44/12.84 tptp_madd [69, 2] (w:1, o:115, a:1, s:1, b:0),
% 12.44/12.84 tptp_msub [70, 2] (w:1, o:116, a:1, s:1, b:0),
% 12.44/12.84 tptp_mmul [71, 2] (w:1, o:117, a:1, s:1, b:0),
% 12.44/12.84 tptp_minus_1 [77, 0] (w:1, o:34, a:1, s:1, b:0),
% 12.44/12.84 sum [78, 3] (w:1, o:139, a:1, s:1, b:0),
% 12.44/12.84 tptp_float_0_0 [79, 0] (w:1, o:35, a:1, s:1, b:0),
% 12.44/12.84 n1 [80, 0] (w:1, o:36, a:1, s:1, b:0),
% 12.44/12.84 plus [81, 2] (w:1, o:121, a:1, s:1, b:0),
% 12.44/12.84 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 12.44/12.84 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 12.44/12.84 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 12.44/12.84 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 12.44/12.84 minus [86, 2] (w:1, o:122, a:1, s:1, b:0),
% 12.44/12.84 tptp_update2 [91, 3] (w:1, o:143, a:1, s:1, b:0),
% 12.44/12.84 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 12.44/12.84 def [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 12.44/12.84 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 12.44/12.84 pv10 [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 12.44/12.84 n135299 [96, 0] (w:1, o:37, a:1, s:1, b:0),
% 12.44/12.84 q_init [97, 0] (w:1, o:49, a:1, s:1, b:0),
% 12.44/12.84 init [98, 0] (w:1, o:50, a:1, s:1, b:0),
% 12.44/12.84 center_init [99, 0] (w:1, o:45, a:1, s:1, b:0),
% 12.44/12.84 alpha1 [100, 2] (w:1, o:123, a:1, s:1, b:1),
% 12.44/12.84 alpha2 [101, 2] (w:1, o:129, a:1, s:1, b:1),
% 12.44/12.84 alpha3 [102, 2] (w:1, o:133, a:1, s:1, b:1),
% 12.44/12.84 alpha4 [103, 2] (w:1, o:134, a:1, s:1, b:1),
% 12.44/12.84 alpha5 [104, 2] (w:1, o:135, a:1, s:1, b:1),
% 12.44/12.84 alpha6 [105, 2] (w:1, o:136, a:1, s:1, b:1),
% 12.44/12.84 alpha7 [106, 2] (w:1, o:137, a:1, s:1, b:1),
% 12.44/12.84 alpha8 [107, 1] (w:1, o:61, a:1, s:1, b:1),
% 12.44/12.84 alpha9 [108, 2] (w:1, o:138, a:1, s:1, b:1),
% 12.44/12.84 alpha10 [109, 3] (w:1, o:144, a:1, s:1, b:1),
% 12.44/12.84 alpha11 [110, 3] (w:1, o:145, a:1, s:1, b:1),
% 12.44/12.84 alpha12 [111, 3] (w:1, o:146, a:1, s:1, b:1),
% 12.44/12.84 alpha13 [112, 2] (w:1, o:124, a:1, s:1, b:1),
% 12.44/12.84 alpha14 [113, 2] (w:1, o:125, a:1, s:1, b:1),
% 12.44/12.84 alpha15 [114, 2] (w:1, o:126, a:1, s:1, b:1),
% 12.44/12.84 alpha16 [115, 2] (w:1, o:127, a:1, s:1, b:1),
% 12.44/12.84 alpha17 [116, 3] (w:1, o:147, a:1, s:1, b:1),
% 12.44/12.84 alpha18 [117, 3] (w:1, o:148, a:1, s:1, b:1),
% 12.44/12.84 alpha19 [118, 2] (w:1, o:128, a:1, s:1, b:1),
% 12.44/12.84 alpha20 [119, 2] (w:1, o:130, a:1, s:1, b:1),
% 12.44/12.84 alpha21 [120, 3] (w:1, o:149, a:1, s:1, b:1),
% 12.44/12.84 alpha22 [121, 3] (w:1, o:150, a:1, s:1, b:1),
% 12.44/12.84 alpha23 [122, 3] (w:1, o:151, a:1, s:1, b:1),
% 12.44/12.84 alpha24 [123, 3] (w:1, o:152, a:1, s:1, b:1),
% 12.44/12.84 alpha25 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 12.44/12.84 alpha26 [125, 2] (w:1, o:131, a:1, s:1, b:1),
% 12.44/12.84 alpha27 [126, 2] (w:1, o:132, a:1, s:1, b:1),
% 12.44/12.84 alpha28 [127, 3] (w:1, o:154, a:1, s:1, b:1),
% 12.44/12.84 alpha29 [128, 3] (w:1, o:155, a:1, s:1, b:1),
% 12.44/12.84 alpha30 [129, 3] (w:1, o:156, a:1, s:1, b:1),
% 12.44/12.84 skol1 [130, 2] (w:1, o:90, a:1, s:1, b:1),
% 12.44/12.84 skol2 [131, 2] (w:1, o:98, a:1, s:1, b:1),
% 12.44/12.84 skol3 [132, 2] (w:1, o:107, a:1, s:1, b:1),
% 12.44/12.84 skol4 [133, 2] (w:1, o:108, a:1, s:1, b:1),
% 12.44/12.84 skol5 [134, 2] (w:1, o:109, a:1, s:1, b:1),
% 12.44/12.84 skol6 [135, 2] (w:1, o:110, a:1, s:1, b:1),
% 12.44/12.84 skol7 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 12.44/12.84 skol8 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 12.44/12.84 skol9 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 12.44/12.84 skol10 [139, 2] (w:1, o:91, a:1, s:1, b:1),
% 12.44/12.84 skol11 [140, 2] (w:1, o:92, a:1, s:1, b:1),
% 12.44/12.84 skol12 [141, 2] (w:1, o:93, a:1, s:1, b:1),
% 12.44/12.84 skol13 [142, 4] (w:1, o:157, a:1, s:1, b:1),
% 12.44/12.84 skol14 [143, 3] (w:1, o:140, a:1, s:1, b:1),
% 12.44/12.84 skol15 [144, 0] (w:1, o:32, a:1, s:1, b:1),
% 12.44/12.84 skol16 [145, 2] (w:1, o:94, a:1, s:1, b:1),
% 12.44/12.84 skol17 [146, 2] (w:1, o:95, a:1, s:1, b:1),
% 12.44/12.84 skol18 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 12.44/12.84 skol19 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 12.44/12.84 skol20 [149, 2] (w:1, o:99, a:1, s:1, b:1),
% 12.44/12.84 skol21 [150, 2] (w:1, o:100, a:1, s:1, b:1),
% 12.44/12.84 skol22 [151, 2] (w:1, o:101, a:1, s:1, b:1),
% 12.44/12.84 skol23 [152, 2] (w:1, o:102, a:1, s:1, b:1),
% 12.44/12.84 skol24 [153, 2] (w:1, o:103, a:1, s:1, b:1),
% 12.44/12.84 skol25 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 12.44/12.84 skol26 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 12.44/12.84 skol27 [156, 2] (w:1, o:106, a:1, s:1, b:1),
% 12.44/12.84 skol28 [157, 4] (w:1, o:158, a:1, s:1, b:1),
% 12.44/12.84 skol29 [158, 0] (w:1, o:33, a:1, s:1, b:1),
% 12.44/12.84 skol30 [159, 1] (w:1, o:58, a:1, s:1, b:1).
% 12.44/12.84
% 12.44/12.84
% 12.44/12.84 Starting Search:
% 12.44/12.84
% 12.44/12.84 *** allocated 15000 integers for clauses
% 12.44/12.84 *** allocated 22500 integers for clauses
% 12.44/12.84 *** allocated 15000 integers for termspace/termends
% 12.44/12.84 *** allocated 33750 integers for clauses
% 12.44/12.84 *** allocated 50625 integers for clauses
% 12.44/12.84 *** allocated 22500 integers for termspace/termends
% 12.44/12.84 *** allocated 75937 integers for clauses
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 33750 integers for termspace/termends
% 12.44/12.84 *** allocated 113905 integers for clauses
% 12.44/12.84 *** allocated 50625 integers for termspace/termends
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 7961
% 12.44/12.84 Kept: 2041
% 12.44/12.84 Inuse: 171
% 12.44/12.84 Deleted: 0
% 12.44/12.84 Deletedinuse: 0
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 170857 integers for clauses
% 12.44/12.84 *** allocated 75937 integers for termspace/termends
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 256285 integers for clauses
% 12.44/12.84 *** allocated 113905 integers for termspace/termends
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 16254
% 12.44/12.84 Kept: 4123
% 12.44/12.84 Inuse: 326
% 12.44/12.84 Deleted: 0
% 12.44/12.84 Deletedinuse: 0
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 170857 integers for termspace/termends
% 12.44/12.84 *** allocated 384427 integers for clauses
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 23404
% 12.44/12.84 Kept: 6124
% 12.44/12.84 Inuse: 456
% 12.44/12.84 Deleted: 0
% 12.44/12.84 Deletedinuse: 0
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 256285 integers for termspace/termends
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 31605
% 12.44/12.84 Kept: 8269
% 12.44/12.84 Inuse: 556
% 12.44/12.84 Deleted: 0
% 12.44/12.84 Deletedinuse: 0
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 576640 integers for clauses
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 36983
% 12.44/12.84 Kept: 10404
% 12.44/12.84 Inuse: 736
% 12.44/12.84 Deleted: 0
% 12.44/12.84 Deletedinuse: 0
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 384427 integers for termspace/termends
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 44948
% 12.44/12.84 Kept: 12517
% 12.44/12.84 Inuse: 805
% 12.44/12.84 Deleted: 13
% 12.44/12.84 Deletedinuse: 12
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 864960 integers for clauses
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 576640 integers for termspace/termends
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 79038
% 12.44/12.84 Kept: 14980
% 12.44/12.84 Inuse: 849
% 12.44/12.84 Deleted: 14
% 12.44/12.84 Deletedinuse: 12
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 139439
% 12.44/12.84 Kept: 17174
% 12.44/12.84 Inuse: 864
% 12.44/12.84 Deleted: 14
% 12.44/12.84 Deletedinuse: 12
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 864960 integers for termspace/termends
% 12.44/12.84
% 12.44/12.84 Intermediate Status:
% 12.44/12.84 Generated: 175091
% 12.44/12.84 Kept: 19186
% 12.44/12.84 Inuse: 874
% 12.44/12.84 Deleted: 14
% 12.44/12.84 Deletedinuse: 12
% 12.44/12.84
% 12.44/12.84 Resimplifying inuse:
% 12.44/12.84 Done
% 12.44/12.84
% 12.44/12.84 *** allocated 1297440 integers for clauses
% 12.44/12.84 Resimplifying clauses:
% 12.44/12.84
% 12.44/12.84 Bliksems!, er is een bewijs:
% 12.44/12.84 % SZS status Theorem
% 12.44/12.84 % SZS output start Refutation
% 12.44/12.84
% 12.44/12.84 (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 12.44/12.84 (173) {G0,W19,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), !
% 12.44/12.84 leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==> init }.
% 12.44/12.84 (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 12.44/12.84 (176) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 12.44/12.84 (178) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n4 ) }.
% 12.44/12.84 (179) {G0,W3,D2,L1,V0,M1} I { gt( pv10, skol15 ) }.
% 12.44/12.84 (180) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, skol15, skol29 ) ==>
% 12.44/12.84 init }.
% 12.44/12.84 (2047) {G1,W4,D3,L1,V0,M1} R(179,12) { leq( skol15, pred( pv10 ) ) }.
% 12.44/12.84 (13734) {G1,W10,D3,L3,V0,M3} R(180,173);r(175) { ! leq( skol15, pred( pv10
% 12.44/12.84 ) ), ! leq( n0, skol29 ), ! leq( skol29, n4 ) }.
% 12.44/12.84 (20194) {G2,W0,D0,L0,V0,M0} S(13734);r(2047);r(176);r(178) { }.
% 12.44/12.84
% 12.44/12.84
% 12.44/12.84 % SZS output end Refutation
% 12.44/12.84 found a proof!
% 12.44/12.84
% 12.44/12.84
% 12.44/12.84 Unprocessed initial clauses:
% 12.44/12.84
% 12.44/12.84 (20196) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 12.44/12.84 (20197) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 12.44/12.84 (20198) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 12.44/12.84 (20199) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 12.44/12.84 (20200) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 12.44/12.84 }.
% 12.44/12.84 (20201) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 12.44/12.84 (20202) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 12.44/12.84 (20203) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20204) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 12.44/12.84 (20205) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 12.44/12.84 (20206) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 12.44/12.84 (20207) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 12.44/12.84 (20208) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 12.44/12.84 (20209) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 12.44/12.84 (20210) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 12.44/12.84 (20211) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 12.44/12.84 (20212) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 12.44/12.84 (20213) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 12.44/12.84 , X ) }.
% 12.44/12.84 (20214) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 12.44/12.84 , X ) ) }.
% 12.44/12.84 (20215) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 12.44/12.84 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 12.44/12.84 (20216) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 12.44/12.84 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 12.44/12.84 V0 ), X, T ) = V0 }.
% 12.44/12.84 (20217) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 12.44/12.84 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 12.44/12.84 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 12.44/12.84 (20218) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 12.44/12.84 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 12.44/12.84 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 12.44/12.84 = a_select3( trans( X ), T, Z ) }.
% 12.44/12.84 (20219) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 12.44/12.84 (20220) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20221) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20222) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha10( X, Y, Z ) }.
% 12.44/12.84 (20223) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20224) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20225) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20226) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 12.44/12.84 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 12.44/12.84 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 12.44/12.84 (20227) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 12.44/12.84 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 12.44/12.84 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 12.44/12.84 a_select3( inv( X ), T, Z ) }.
% 12.44/12.84 (20228) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 12.44/12.84 (20229) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20230) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20231) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha11( X, Y, Z ) }.
% 12.44/12.84 (20232) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20233) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20234) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20235) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 12.44/12.84 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 12.44/12.84 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 12.44/12.84 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 12.44/12.84 (20236) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 12.44/12.84 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 12.44/12.84 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 12.44/12.84 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 12.44/12.84 ( X, U, U, W ), T, Z ) }.
% 12.44/12.84 (20237) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 12.44/12.84 (20238) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20239) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20240) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha12( X, Y, Z ) }.
% 12.44/12.84 (20241) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20242) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20243) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20244) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 12.44/12.84 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 12.44/12.84 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 12.44/12.84 ), U, T ) }.
% 12.44/12.84 (20245) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 12.44/12.84 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 12.44/12.84 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 12.44/12.84 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 12.44/12.84 (20246) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 12.44/12.84 (20247) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20248) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20249) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha22( X, Y, Z ) }.
% 12.44/12.84 (20250) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20251) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20252) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20253) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 12.44/12.84 , skol20( X, Y ) ) }.
% 12.44/12.84 (20254) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 12.44/12.84 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 12.44/12.84 }.
% 12.44/12.84 (20255) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 12.44/12.84 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 12.44/12.84 (20256) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 12.44/12.84 (20257) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20258) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20259) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha23( X, Y, Z ) }.
% 12.44/12.84 (20260) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20261) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20262) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20263) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 12.44/12.84 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 12.44/12.84 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 12.44/12.84 ), U, T ) }.
% 12.44/12.84 (20264) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 12.44/12.84 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 12.44/12.84 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 12.44/12.84 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 12.44/12.84 (20265) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 12.44/12.84 (20266) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20267) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20268) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha24( X, Y, Z ) }.
% 12.44/12.84 (20269) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20270) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20271) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20272) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 12.44/12.84 , skol22( X, Y ) ) }.
% 12.44/12.84 (20273) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 12.44/12.84 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 12.44/12.84 }.
% 12.44/12.84 (20274) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 12.44/12.84 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 12.44/12.84 (20275) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 12.44/12.84 (20276) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20277) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20278) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha25( X, Y, Z ) }.
% 12.44/12.84 (20279) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20280) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20281) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20282) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 12.44/12.84 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 12.44/12.84 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 12.44/12.84 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 12.44/12.84 (20283) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 12.44/12.84 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 12.44/12.84 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 12.44/12.84 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 12.44/12.84 ( X, trans( U ) ) ), T, Z ) }.
% 12.44/12.84 (20284) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 12.44/12.84 (20285) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20286) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20287) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha17( X, Y, Z ) }.
% 12.44/12.84 (20288) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20289) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20290) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20291) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 12.44/12.84 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 12.44/12.84 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 12.44/12.84 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 12.44/12.84 (20292) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 12.44/12.84 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 12.44/12.84 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 12.44/12.84 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 12.44/12.84 ( X, trans( W ) ) ), T, Z ) }.
% 12.44/12.84 (20293) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 12.44/12.84 (20294) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20295) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20296) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha18( X, Y, Z ) }.
% 12.44/12.84 (20297) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20298) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20299) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20300) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 12.44/12.84 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 12.44/12.84 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 12.44/12.84 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 12.44/12.84 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 12.44/12.84 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 12.44/12.84 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 12.44/12.84 ) ), trans( V0 ) ) ) ), W, U ) }.
% 12.44/12.84 (20301) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 12.44/12.84 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 12.44/12.84 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 12.44/12.84 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 12.44/12.84 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 12.44/12.84 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 12.44/12.84 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 12.44/12.84 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 12.44/12.84 ) ), W, U ) }.
% 12.44/12.84 (20302) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 12.44/12.84 (20303) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20304) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20305) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha29( X, Y, Z ) }.
% 12.44/12.84 (20306) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20307) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20308) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20309) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 12.44/12.84 ), skol26( X, Y ) ) }.
% 12.44/12.84 (20310) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 12.44/12.84 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 12.44/12.84 }.
% 12.44/12.84 (20311) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 12.44/12.84 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 12.44/12.84 (20312) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 12.44/12.84 (20313) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20314) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20315) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha30( X, Y, Z ) }.
% 12.44/12.84 (20316) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20317) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20318) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20319) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 12.44/12.84 skol27( X, Y ) ) }.
% 12.44/12.84 (20320) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 12.44/12.84 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 12.44/12.84 (20321) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3(
% 12.44/12.84 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 12.44/12.84 (20322) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 12.44/12.84 (20323) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 12.44/12.84 (20324) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 12.44/12.84 (20325) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 12.44/12.84 , X ), alpha28( X, Y, Z ) }.
% 12.44/12.84 (20326) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20327) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 12.44/12.84 (20328) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20329) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 12.44/12.84 (20330) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 12.44/12.84 }.
% 12.44/12.84 (20331) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 12.44/12.84 (20332) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 12.44/12.84 (20333) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 12.44/12.84 (20334) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 12.44/12.84 (20335) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 12.44/12.84 (20336) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 12.44/12.84 }.
% 12.44/12.84 (20337) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 12.44/12.84 }.
% 12.44/12.84 (20338) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 12.44/12.84 ) ) ) }.
% 12.44/12.84 (20339) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 12.44/12.84 ) ) ) }.
% 12.44/12.84 (20340) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 12.44/12.84 succ( X ) ) ) ) ) }.
% 12.44/12.84 (20341) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 12.44/12.84 succ( X ) ) ) ) ) }.
% 12.44/12.84 (20342) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 12.44/12.84 (20343) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 12.44/12.84 (20344) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 12.44/12.84 (20345) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 12.44/12.84 }.
% 12.44/12.84 (20346) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 12.44/12.84 }.
% 12.44/12.84 (20347) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 12.44/12.84 (20348) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 12.44/12.84 (20349) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 12.44/12.84 ) = T }.
% 12.44/12.84 (20350) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 12.44/12.84 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 12.44/12.84 (20351) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 12.44/12.84 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 12.44/12.84 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 12.44/12.84 (20352) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 12.44/12.84 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 12.44/12.84 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 12.44/12.84 (20353) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 12.44/12.84 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 12.44/12.84 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 12.44/12.84 (20354) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 12.44/12.84 (20355) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 12.44/12.84 (20356) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 12.44/12.84 , Y, Z ) }.
% 12.44/12.84 (20357) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 12.44/12.84 (20358) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 12.44/12.84 (20359) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 12.44/12.84 ) }.
% 12.44/12.84 (20360) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 12.44/12.84 }.
% 12.44/12.84 (20361) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 12.44/12.84 tptp_update2( Z, X, U ), Y ) = T }.
% 12.44/12.84 (20362) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 12.44/12.84 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 12.44/12.84 (20363) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 12.44/12.84 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 12.44/12.84 (20364) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 12.44/12.84 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 12.44/12.84 }.
% 12.44/12.84 (20365) {G0,W1,D1,L1,V0,M1} { true }.
% 12.44/12.84 (20366) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 12.44/12.84 (20367) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 12.44/12.84 (20368) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 12.44/12.84 (20369) {G0,W19,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), !
% 12.44/12.84 leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 12.44/12.84 (20370) {G0,W12,D3,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n4 ), a_select3(
% 12.44/12.84 center_init, X, n0 ) = init }.
% 12.44/12.84 (20371) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 12.44/12.84 (20372) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 12.44/12.84 (20373) {G0,W3,D2,L1,V0,M1} { leq( skol15, n135299 ) }.
% 12.44/12.84 (20374) {G0,W3,D2,L1,V0,M1} { leq( skol29, n4 ) }.
% 12.44/12.84 (20375) {G0,W3,D2,L1,V0,M1} { gt( pv10, skol15 ) }.
% 12.44/12.84 (20376) {G0,W6,D3,L1,V0,M1} { ! a_select3( q_init, skol15, skol29 ) = init
% 12.44/12.84 }.
% 12.44/12.84 (20377) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 12.44/12.84 (20378) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 12.44/12.84 (20379) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 12.44/12.84 (20380) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 12.44/12.84 (20381) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 12.44/12.84 (20382) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 12.44/12.84 (20383) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 12.44/12.84 (20384) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 12.44/12.84 (20385) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 12.44/12.84 (20386) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 12.44/12.84 (20387) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 12.44/12.84 (20388) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 12.44/12.84 (20389) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 12.44/12.84 (20390) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 12.44/12.84 (20391) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 12.44/12.84 (20392) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 12.44/12.84 (20393) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 12.44/12.84 (20394) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 12.44/12.84 (20395) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 12.44/12.84 (20396) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 12.44/12.84 (20397) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 12.44/12.84 (20398) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 12.44/12.84 (20399) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 12.44/12.84 (20400) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 12.44/12.84 (20401) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 12.44/12.84 (20402) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 12.44/12.84 (20403) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 12.44/12.84 (20404) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 12.44/12.84 (20405) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 12.44/12.84 n1, X = n2, X = n3, X = n4 }.
% 12.44/12.84 (20406) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 12.44/12.84 n1, X = n2, X = n3, X = n4, X = n5 }.
% 12.44/12.84 (20407) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 12.44/12.84 (20408) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 12.44/12.84 n1 }.
% 12.44/12.84 (20409) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 12.44/12.84 n1, X = n2 }.
% 12.44/12.84 (20410) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 12.44/12.84 n1, X = n2, X = n3 }.
% 12.44/12.84 (20411) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 12.44/12.86 (20412) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 12.44/12.86 n5 }.
% 12.44/12.86 (20413) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 12.44/12.86 (20414) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 12.44/12.86 (20415) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 12.44/12.86
% 12.44/12.86
% 12.44/12.86 Total Proof:
% 12.44/12.86
% 12.44/12.86 subsumption: (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) )
% 12.44/12.86 }.
% 12.44/12.86 parent0: (20208) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) )
% 12.44/12.86 }.
% 12.44/12.86 substitution0:
% 12.44/12.86 X := X
% 12.44/12.86 Y := Y
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 1 ==> 1
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (173) {G0,W19,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, pred
% 12.44/12.86 ( pv10 ) ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==>
% 12.44/12.86 init }.
% 12.44/12.86 parent0: (20369) {G0,W19,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, pred(
% 12.44/12.86 pv10 ) ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) =
% 12.44/12.86 init }.
% 12.44/12.86 substitution0:
% 12.44/12.86 X := X
% 12.44/12.86 Y := Y
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 1 ==> 1
% 12.44/12.86 2 ==> 2
% 12.44/12.86 3 ==> 3
% 12.44/12.86 4 ==> 4
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 12.44/12.86 parent0: (20371) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (176) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 12.44/12.86 parent0: (20372) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (178) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n4 ) }.
% 12.44/12.86 parent0: (20374) {G0,W3,D2,L1,V0,M1} { leq( skol29, n4 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { gt( pv10, skol15 ) }.
% 12.44/12.86 parent0: (20375) {G0,W3,D2,L1,V0,M1} { gt( pv10, skol15 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (180) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, skol15,
% 12.44/12.86 skol29 ) ==> init }.
% 12.44/12.86 parent0: (20376) {G0,W6,D3,L1,V0,M1} { ! a_select3( q_init, skol15, skol29
% 12.44/12.86 ) = init }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 resolution: (23630) {G1,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 12.44/12.86 parent0[0]: (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) )
% 12.44/12.86 }.
% 12.44/12.86 parent1[0]: (179) {G0,W3,D2,L1,V0,M1} I { gt( pv10, skol15 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 X := skol15
% 12.44/12.86 Y := pv10
% 12.44/12.86 end
% 12.44/12.86 substitution1:
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (2047) {G1,W4,D3,L1,V0,M1} R(179,12) { leq( skol15, pred( pv10
% 12.44/12.86 ) ) }.
% 12.44/12.86 parent0: (23630) {G1,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 eqswap: (23631) {G0,W6,D3,L1,V0,M1} { ! init ==> a_select3( q_init, skol15
% 12.44/12.86 , skol29 ) }.
% 12.44/12.86 parent0[0]: (180) {G0,W6,D3,L1,V0,M1} I { ! a_select3( q_init, skol15,
% 12.44/12.86 skol29 ) ==> init }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 eqswap: (23632) {G0,W19,D3,L5,V2,M5} { init ==> a_select3( q_init, X, Y )
% 12.44/12.86 , ! leq( n0, X ), ! leq( X, pred( pv10 ) ), ! leq( n0, Y ), ! leq( Y, n4
% 12.44/12.86 ) }.
% 12.44/12.86 parent0[4]: (173) {G0,W19,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, pred(
% 12.44/12.86 pv10 ) ), ! leq( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) ==>
% 12.44/12.86 init }.
% 12.44/12.86 substitution0:
% 12.44/12.86 X := X
% 12.44/12.86 Y := Y
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 resolution: (23633) {G1,W13,D3,L4,V0,M4} { ! leq( n0, skol15 ), ! leq(
% 12.44/12.86 skol15, pred( pv10 ) ), ! leq( n0, skol29 ), ! leq( skol29, n4 ) }.
% 12.44/12.86 parent0[0]: (23631) {G0,W6,D3,L1,V0,M1} { ! init ==> a_select3( q_init,
% 12.44/12.86 skol15, skol29 ) }.
% 12.44/12.86 parent1[0]: (23632) {G0,W19,D3,L5,V2,M5} { init ==> a_select3( q_init, X,
% 12.44/12.86 Y ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ), ! leq( n0, Y ), ! leq( Y,
% 12.44/12.86 n4 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 substitution1:
% 12.44/12.86 X := skol15
% 12.44/12.86 Y := skol29
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 resolution: (23634) {G1,W10,D3,L3,V0,M3} { ! leq( skol15, pred( pv10 ) ),
% 12.44/12.86 ! leq( n0, skol29 ), ! leq( skol29, n4 ) }.
% 12.44/12.86 parent0[0]: (23633) {G1,W13,D3,L4,V0,M4} { ! leq( n0, skol15 ), ! leq(
% 12.44/12.86 skol15, pred( pv10 ) ), ! leq( n0, skol29 ), ! leq( skol29, n4 ) }.
% 12.44/12.86 parent1[0]: (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 substitution1:
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (13734) {G1,W10,D3,L3,V0,M3} R(180,173);r(175) { ! leq( skol15
% 12.44/12.86 , pred( pv10 ) ), ! leq( n0, skol29 ), ! leq( skol29, n4 ) }.
% 12.44/12.86 parent0: (23634) {G1,W10,D3,L3,V0,M3} { ! leq( skol15, pred( pv10 ) ), !
% 12.44/12.86 leq( n0, skol29 ), ! leq( skol29, n4 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 0 ==> 0
% 12.44/12.86 1 ==> 1
% 12.44/12.86 2 ==> 2
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 resolution: (23635) {G2,W6,D2,L2,V0,M2} { ! leq( n0, skol29 ), ! leq(
% 12.44/12.86 skol29, n4 ) }.
% 12.44/12.86 parent0[0]: (13734) {G1,W10,D3,L3,V0,M3} R(180,173);r(175) { ! leq( skol15
% 12.44/12.86 , pred( pv10 ) ), ! leq( n0, skol29 ), ! leq( skol29, n4 ) }.
% 12.44/12.86 parent1[0]: (2047) {G1,W4,D3,L1,V0,M1} R(179,12) { leq( skol15, pred( pv10
% 12.44/12.86 ) ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 substitution1:
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 resolution: (23636) {G1,W3,D2,L1,V0,M1} { ! leq( skol29, n4 ) }.
% 12.44/12.86 parent0[0]: (23635) {G2,W6,D2,L2,V0,M2} { ! leq( n0, skol29 ), ! leq(
% 12.44/12.86 skol29, n4 ) }.
% 12.44/12.86 parent1[0]: (176) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 substitution1:
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 resolution: (23637) {G1,W0,D0,L0,V0,M0} { }.
% 12.44/12.86 parent0[0]: (23636) {G1,W3,D2,L1,V0,M1} { ! leq( skol29, n4 ) }.
% 12.44/12.86 parent1[0]: (178) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n4 ) }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 substitution1:
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 subsumption: (20194) {G2,W0,D0,L0,V0,M0} S(13734);r(2047);r(176);r(178) {
% 12.44/12.86 }.
% 12.44/12.86 parent0: (23637) {G1,W0,D0,L0,V0,M0} { }.
% 12.44/12.86 substitution0:
% 12.44/12.86 end
% 12.44/12.86 permutation0:
% 12.44/12.86 end
% 12.44/12.86
% 12.44/12.86 Proof check complete!
% 12.44/12.86
% 12.44/12.86 Memory use:
% 12.44/12.86
% 12.44/12.86 space for terms: 636989
% 12.44/12.86 space for clauses: 894295
% 12.44/12.86
% 12.44/12.86
% 12.44/12.86 clauses generated: 202759
% 12.44/12.86 clauses kept: 20195
% 12.44/12.86 clauses selected: 1275
% 12.44/12.86 clauses deleted: 1227
% 12.44/12.86 clauses inuse deleted: 12
% 12.44/12.86
% 12.44/12.86 subsentry: 489843
% 12.44/12.86 literals s-matched: 162732
% 12.44/12.86 literals matched: 140263
% 12.44/12.86 full subsumption: 109570
% 12.44/12.86
% 12.44/12.86 checksum: -1273890691
% 12.44/12.86
% 12.44/12.86
% 12.44/12.86 Bliksem ended
%------------------------------------------------------------------------------