TSTP Solution File: SWV157+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 16:22:45 EDT 2022
% Result : Theorem 17.79s 18.14s
% Output : Refutation 17.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 13:08:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 *** allocated 15000 integers for termspace/termends
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.71/1.11 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.71/1.11 { ! gt( X, X ) }.
% 0.71/1.11 { leq( X, X ) }.
% 0.71/1.11 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.71/1.11 { ! lt( X, Y ), gt( Y, X ) }.
% 0.71/1.11 { ! gt( Y, X ), lt( X, Y ) }.
% 0.71/1.11 { ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.11 { ! gt( Y, X ), leq( X, Y ) }.
% 0.71/1.11 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.71/1.11 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.71/1.11 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.71/1.11 { gt( succ( X ), X ) }.
% 0.71/1.11 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.71/1.11 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.71/1.11 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.71/1.11 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.71/1.11 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.71/1.11 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.71/1.11 T ), X ) = T }.
% 0.71/1.11 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.71/1.11 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.71/1.11 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.71/1.11 a_select3( trans( X ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.71/1.11 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.71/1.11 ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.71/1.11 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.71/1.11 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.71/1.11 a_select3( inv( X ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.71/1.11 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.71/1.11 .
% 0.71/1.11 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.71/1.11 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.71/1.11 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.71/1.11 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.71/1.11 X, U, U, W ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.71/1.11 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.71/1.11 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.71/1.11 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.71/1.11 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.71/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.71/1.11 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.11 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.71/1.11 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.71/1.11 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.71/1.11 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.11 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.71/1.11 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.11 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.71/1.11 ( X, Y ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.71/1.11 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.71/1.11 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.71/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.71/1.11 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.11 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.71/1.11 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.71/1.11 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.71/1.11 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.71/1.11 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.71/1.11 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.71/1.11 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.71/1.11 ( X, Y ) }.
% 0.71/1.11 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.71/1.11 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.71/1.11 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.71/1.11 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.71/1.11 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.71/1.11 U ) ) ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.71/1.11 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.71/1.11 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.71/1.11 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.71/1.11 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.71/1.11 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.71/1.11 W ) ) ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.71/1.11 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.71/1.11 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.71/1.11 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.71/1.11 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.71/1.11 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.71/1.11 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.71/1.11 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.71/1.11 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.71/1.11 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.71/1.11 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.71/1.11 ) }.
% 0.71/1.11 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.71/1.11 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.71/1.11 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.71/1.11 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.71/1.11 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.71/1.11 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.71/1.11 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.71/1.11 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.71/1.11 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.71/1.11 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.71/1.11 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.11 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.71/1.11 alpha19( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.71/1.11 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.71/1.11 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.11 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.71/1.11 ), alpha8( X ) }.
% 0.71/1.11 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.71/1.11 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.71/1.11 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.71/1.11 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.71/1.11 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.71/1.11 { succ( tptp_minus_1 ) = n0 }.
% 0.71/1.11 { plus( X, n1 ) = succ( X ) }.
% 0.71/1.11 { plus( n1, X ) = succ( X ) }.
% 0.71/1.11 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.71/1.11 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.71/1.11 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.11 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.11 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.11 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.11 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.11 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.11 { minus( X, n1 ) = pred( X ) }.
% 0.71/1.11 { pred( succ( X ) ) = X }.
% 0.71/1.11 { succ( pred( X ) ) = X }.
% 0.71/1.11 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.71/1.11 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.71/1.11 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.71/1.11 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.71/1.11 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.71/1.11 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.71/1.11 , Y, V0 ), Z, T ) = W }.
% 0.71/1.11 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.71/1.11 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.71/1.11 }.
% 0.71/1.11 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.71/1.11 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.71/1.11 U, Z, T, W ), X, Y ) = W }.
% 0.71/1.11 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.71/1.11 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.71/1.11 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.71/1.11 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.71/1.11 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.71/1.11 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.71/1.11 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.71/1.11 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.71/1.11 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.71/1.11 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.71/1.11 T }.
% 0.71/1.11 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.11 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.11 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.71/1.11 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.11 { true }.
% 0.71/1.11 { ! def = use }.
% 0.71/1.11 { pv84 = sum( n0, n4, divide( times( exp( divide( divide( times( minus(
% 0.71/1.11 a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ), minus( a_select2
% 0.71/1.11 ( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times(
% 0.71/1.11 a_select2( sigma, tptp_sum_index ), a_select2( sigma, tptp_sum_index ) )
% 0.71/1.11 ) ), a_select2( rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi
% 0.71/1.11 ) ), a_select2( sigma, tptp_sum_index ) ) ) ) }.
% 0.71/1.11 { leq( n0, pv10 ) }.
% 0.71/1.11 { leq( n0, pv47 ) }.
% 0.71/1.11 { leq( pv10, n135299 ) }.
% 0.71/1.11 { leq( pv47, n4 ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, pred( pv47 ) ), a_select3( q, pv10, X ) =
% 0.71/1.11 divide( divide( times( exp( divide( divide( times( minus( a_select2( x,
% 0.71/1.11 pv10 ), a_select2( mu, X ) ), minus( a_select2( x, pv10 ), a_select2( mu
% 0.71/1.11 , X ) ) ), tptp_minus_2 ), times( a_select2( sigma, X ), a_select2( sigma
% 0.71/1.11 , X ) ) ) ), a_select2( rho, X ) ), times( sqrt( times( n2, tptp_pi ) ),
% 0.71/1.11 a_select2( sigma, X ) ) ), sum( n0, n4, divide( times( exp( divide(
% 0.71/1.11 divide( times( minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index
% 0.71/1.11 ) ), minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ),
% 0.71/1.11 tptp_minus_2 ), times( a_select2( sigma, tptp_sum_index ), a_select2(
% 0.71/1.11 sigma, tptp_sum_index ) ) ) ), a_select2( rho, tptp_sum_index ) ), times
% 0.71/1.11 ( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, tptp_sum_index ) ) ) )
% 0.71/1.11 ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), sum( n0, n4, a_select3( q, X,
% 0.71/1.11 tptp_sum_index ) ) = n1 }.
% 0.71/1.11 { leq( n0, skol15 ) }.
% 0.71/1.11 { leq( skol15, pv47 ) }.
% 0.71/1.11 { ! pv47 = skol15 }.
% 0.71/1.11 { ! a_select3( q, pv10, skol15 ) = divide( divide( times( exp( divide(
% 0.71/1.11 divide( times( minus( a_select2( x, pv10 ), a_select2( mu, skol15 ) ),
% 0.71/1.11 minus( a_select2( x, pv10 ), a_select2( mu, skol15 ) ) ), tptp_minus_2 )
% 0.71/1.11 , times( a_select2( sigma, skol15 ), a_select2( sigma, skol15 ) ) ) ),
% 0.71/1.11 a_select2( rho, skol15 ) ), times( sqrt( times( n2, tptp_pi ) ),
% 0.71/1.11 a_select2( sigma, skol15 ) ) ), sum( n0, n4, divide( times( exp( divide(
% 0.71/1.11 divide( times( minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index
% 0.71/1.11 ) ), minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ),
% 0.71/1.11 tptp_minus_2 ), times( a_select2( sigma, tptp_sum_index ), a_select2(
% 0.71/1.11 sigma, tptp_sum_index ) ) ) ), a_select2( rho, tptp_sum_index ) ), times
% 0.71/1.11 ( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, tptp_sum_index ) ) ) )
% 0.71/1.11 ) }.
% 0.71/1.11 { gt( n5, n4 ) }.
% 0.71/1.11 { gt( n135299, n4 ) }.
% 0.71/1.11 { gt( n135299, n5 ) }.
% 0.71/1.11 { gt( n4, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n5, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n135299, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n0, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n1, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n2, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n3, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n4, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n5, tptp_minus_2 ) }.
% 0.71/1.11 { gt( tptp_minus_1, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n135299, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n0, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n1, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n2, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n3, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n4, n0 ) }.
% 0.71/1.11 { gt( n5, n0 ) }.
% 0.71/1.11 { gt( n135299, n0 ) }.
% 0.71/1.11 { gt( n1, n0 ) }.
% 0.71/1.11 { gt( n2, n0 ) }.
% 0.71/1.11 { gt( n3, n0 ) }.
% 0.71/1.11 { gt( n4, n1 ) }.
% 0.71/1.11 { gt( n5, n1 ) }.
% 0.71/1.11 { gt( n135299, n1 ) }.
% 0.71/1.11 { gt( n2, n1 ) }.
% 0.71/1.11 { gt( n3, n1 ) }.
% 0.71/1.11 { gt( n4, n2 ) }.
% 0.71/1.11 { gt( n5, n2 ) }.
% 0.71/1.11 { gt( n135299, n2 ) }.
% 0.71/1.11 { gt( n3, n2 ) }.
% 0.71/1.11 { gt( n4, n3 ) }.
% 0.71/1.11 { gt( n5, n3 ) }.
% 0.71/1.11 { gt( n135299, n3 ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.71/1.11 .
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.71/1.11 = n5 }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.74/1.39 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.74/1.39 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.74/1.39 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.74/1.39 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.74/1.39 { succ( n0 ) = n1 }.
% 0.74/1.39 { succ( succ( n0 ) ) = n2 }.
% 0.74/1.39 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.74/1.39
% 0.74/1.39 *** allocated 15000 integers for clauses
% 0.74/1.39 percentage equality = 0.181982, percentage horn = 0.877729
% 0.74/1.39 This is a problem with some equality
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39 Options Used:
% 0.74/1.39
% 0.74/1.39 useres = 1
% 0.74/1.39 useparamod = 1
% 0.74/1.39 useeqrefl = 1
% 0.74/1.39 useeqfact = 1
% 0.74/1.39 usefactor = 1
% 0.74/1.39 usesimpsplitting = 0
% 0.74/1.39 usesimpdemod = 5
% 0.74/1.39 usesimpres = 3
% 0.74/1.39
% 0.74/1.39 resimpinuse = 1000
% 0.74/1.39 resimpclauses = 20000
% 0.74/1.39 substype = eqrewr
% 0.74/1.39 backwardsubs = 1
% 0.74/1.39 selectoldest = 5
% 0.74/1.39
% 0.74/1.39 litorderings [0] = split
% 0.74/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.39
% 0.74/1.39 termordering = kbo
% 0.74/1.39
% 0.74/1.39 litapriori = 0
% 0.74/1.39 termapriori = 1
% 0.74/1.39 litaposteriori = 0
% 0.74/1.39 termaposteriori = 0
% 0.74/1.39 demodaposteriori = 0
% 0.74/1.39 ordereqreflfact = 0
% 0.74/1.39
% 0.74/1.39 litselect = negord
% 0.74/1.39
% 0.74/1.39 maxweight = 15
% 0.74/1.39 maxdepth = 30000
% 0.74/1.39 maxlength = 115
% 0.74/1.39 maxnrvars = 195
% 0.74/1.39 excuselevel = 1
% 0.74/1.39 increasemaxweight = 1
% 0.74/1.39
% 0.74/1.39 maxselected = 10000000
% 0.74/1.39 maxnrclauses = 10000000
% 0.74/1.39
% 0.74/1.39 showgenerated = 0
% 0.74/1.39 showkept = 0
% 0.74/1.39 showselected = 0
% 0.74/1.39 showdeleted = 0
% 0.74/1.39 showresimp = 1
% 0.74/1.39 showstatus = 2000
% 0.74/1.39
% 0.74/1.39 prologoutput = 0
% 0.74/1.39 nrgoals = 5000000
% 0.74/1.39 totalproof = 1
% 0.74/1.39
% 0.74/1.39 Symbols occurring in the translation:
% 0.74/1.39
% 0.74/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.39 . [1, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.74/1.39 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 0.74/1.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.39 gt [37, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.74/1.39 leq [39, 2] (w:1, o:95, a:1, s:1, b:0),
% 0.74/1.39 lt [40, 2] (w:1, o:96, a:1, s:1, b:0),
% 0.74/1.39 geq [41, 2] (w:1, o:97, a:1, s:1, b:0),
% 0.74/1.39 pred [42, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.74/1.39 succ [43, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.74/1.39 n0 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.39 uniform_int_rnd [46, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.74/1.39 dim [51, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.74/1.39 tptp_const_array1 [52, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.74/1.39 a_select2 [53, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.74/1.39 tptp_const_array2 [59, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.74/1.39 a_select3 [60, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.74/1.39 trans [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.74/1.39 inv [64, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.74/1.39 tptp_update3 [67, 4] (w:1, o:169, a:1, s:1, b:0),
% 0.74/1.39 tptp_madd [69, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.74/1.39 tptp_msub [70, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.74/1.39 tptp_mmul [71, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.74/1.39 tptp_minus_1 [77, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.74/1.39 sum [78, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.74/1.39 tptp_float_0_0 [79, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.74/1.39 n1 [80, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.74/1.39 plus [81, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.74/1.39 n2 [82, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.74/1.39 n3 [83, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.74/1.39 n4 [84, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.74/1.39 n5 [85, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.74/1.39 minus [86, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.74/1.39 tptp_update2 [91, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.74/1.39 true [92, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.39 def [93, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.39 use [94, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.74/1.39 pv84 [95, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.39 x [96, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.74/1.39 pv10 [97, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.74/1.39 mu [98, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.39 tptp_sum_index [99, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.39 times [100, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.74/1.39 tptp_minus_2 [101, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.74/1.39 divide [102, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.74/1.39 sigma [103, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.74/1.39 exp [104, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.74/1.39 rho [105, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.74/1.39 tptp_pi [106, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.74/1.39 sqrt [107, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.74/1.39 pv47 [108, 0] (w:1, o:56, a:1, s:1, b:0),
% 17.79/18.14 n135299 [109, 0] (w:1, o:40, a:1, s:1, b:0),
% 17.79/18.14 q [110, 0] (w:1, o:33, a:1, s:1, b:0),
% 17.79/18.14 alpha1 [111, 2] (w:1, o:133, a:1, s:1, b:1),
% 17.79/18.14 alpha2 [112, 2] (w:1, o:139, a:1, s:1, b:1),
% 17.79/18.14 alpha3 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 17.79/18.14 alpha4 [114, 2] (w:1, o:144, a:1, s:1, b:1),
% 17.79/18.14 alpha5 [115, 2] (w:1, o:145, a:1, s:1, b:1),
% 17.79/18.14 alpha6 [116, 2] (w:1, o:146, a:1, s:1, b:1),
% 17.79/18.14 alpha7 [117, 2] (w:1, o:147, a:1, s:1, b:1),
% 17.79/18.14 alpha8 [118, 1] (w:1, o:69, a:1, s:1, b:1),
% 17.79/18.14 alpha9 [119, 2] (w:1, o:148, a:1, s:1, b:1),
% 17.79/18.14 alpha10 [120, 3] (w:1, o:154, a:1, s:1, b:1),
% 17.79/18.14 alpha11 [121, 3] (w:1, o:155, a:1, s:1, b:1),
% 17.79/18.14 alpha12 [122, 3] (w:1, o:156, a:1, s:1, b:1),
% 17.79/18.14 alpha13 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 17.79/18.14 alpha14 [124, 2] (w:1, o:135, a:1, s:1, b:1),
% 17.79/18.14 alpha15 [125, 2] (w:1, o:136, a:1, s:1, b:1),
% 17.79/18.14 alpha16 [126, 2] (w:1, o:137, a:1, s:1, b:1),
% 17.79/18.14 alpha17 [127, 3] (w:1, o:157, a:1, s:1, b:1),
% 17.79/18.14 alpha18 [128, 3] (w:1, o:158, a:1, s:1, b:1),
% 17.79/18.14 alpha19 [129, 2] (w:1, o:138, a:1, s:1, b:1),
% 17.79/18.14 alpha20 [130, 2] (w:1, o:140, a:1, s:1, b:1),
% 17.79/18.14 alpha21 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 17.79/18.14 alpha22 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 17.79/18.14 alpha23 [133, 3] (w:1, o:161, a:1, s:1, b:1),
% 17.79/18.14 alpha24 [134, 3] (w:1, o:162, a:1, s:1, b:1),
% 17.79/18.14 alpha25 [135, 3] (w:1, o:163, a:1, s:1, b:1),
% 17.79/18.14 alpha26 [136, 2] (w:1, o:141, a:1, s:1, b:1),
% 17.79/18.14 alpha27 [137, 2] (w:1, o:142, a:1, s:1, b:1),
% 17.79/18.14 alpha28 [138, 3] (w:1, o:164, a:1, s:1, b:1),
% 17.79/18.14 alpha29 [139, 3] (w:1, o:165, a:1, s:1, b:1),
% 17.79/18.14 alpha30 [140, 3] (w:1, o:166, a:1, s:1, b:1),
% 17.79/18.14 skol1 [141, 2] (w:1, o:98, a:1, s:1, b:1),
% 17.79/18.14 skol2 [142, 2] (w:1, o:106, a:1, s:1, b:1),
% 17.79/18.14 skol3 [143, 2] (w:1, o:115, a:1, s:1, b:1),
% 17.79/18.14 skol4 [144, 2] (w:1, o:116, a:1, s:1, b:1),
% 17.79/18.14 skol5 [145, 2] (w:1, o:117, a:1, s:1, b:1),
% 17.79/18.14 skol6 [146, 2] (w:1, o:118, a:1, s:1, b:1),
% 17.79/18.14 skol7 [147, 2] (w:1, o:119, a:1, s:1, b:1),
% 17.79/18.14 skol8 [148, 2] (w:1, o:120, a:1, s:1, b:1),
% 17.79/18.14 skol9 [149, 2] (w:1, o:121, a:1, s:1, b:1),
% 17.79/18.14 skol10 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 17.79/18.14 skol11 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 17.79/18.14 skol12 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 17.79/18.14 skol13 [153, 4] (w:1, o:167, a:1, s:1, b:1),
% 17.79/18.14 skol14 [154, 3] (w:1, o:150, a:1, s:1, b:1),
% 17.79/18.14 skol15 [155, 0] (w:1, o:36, a:1, s:1, b:1),
% 17.79/18.14 skol16 [156, 2] (w:1, o:102, a:1, s:1, b:1),
% 17.79/18.14 skol17 [157, 2] (w:1, o:103, a:1, s:1, b:1),
% 17.79/18.14 skol18 [158, 2] (w:1, o:104, a:1, s:1, b:1),
% 17.79/18.14 skol19 [159, 2] (w:1, o:105, a:1, s:1, b:1),
% 17.79/18.14 skol20 [160, 2] (w:1, o:107, a:1, s:1, b:1),
% 17.79/18.14 skol21 [161, 2] (w:1, o:108, a:1, s:1, b:1),
% 17.79/18.14 skol22 [162, 2] (w:1, o:109, a:1, s:1, b:1),
% 17.79/18.14 skol23 [163, 2] (w:1, o:110, a:1, s:1, b:1),
% 17.79/18.14 skol24 [164, 2] (w:1, o:111, a:1, s:1, b:1),
% 17.79/18.14 skol25 [165, 2] (w:1, o:112, a:1, s:1, b:1),
% 17.79/18.14 skol26 [166, 2] (w:1, o:113, a:1, s:1, b:1),
% 17.79/18.14 skol27 [167, 2] (w:1, o:114, a:1, s:1, b:1),
% 17.79/18.14 skol28 [168, 4] (w:1, o:168, a:1, s:1, b:1),
% 17.79/18.14 skol29 [169, 1] (w:1, o:65, a:1, s:1, b:1).
% 17.79/18.14
% 17.79/18.14
% 17.79/18.14 Starting Search:
% 17.79/18.14
% 17.79/18.14 *** allocated 22500 integers for clauses
% 17.79/18.14 *** allocated 33750 integers for clauses
% 17.79/18.14 *** allocated 22500 integers for termspace/termends
% 17.79/18.14 *** allocated 50625 integers for clauses
% 17.79/18.14 *** allocated 75937 integers for clauses
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 33750 integers for termspace/termends
% 17.79/18.14 *** allocated 113905 integers for clauses
% 17.79/18.14 *** allocated 50625 integers for termspace/termends
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 8015
% 17.79/18.14 Kept: 2070
% 17.79/18.14 Inuse: 171
% 17.79/18.14 Deleted: 0
% 17.79/18.14 Deletedinuse: 0
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 170857 integers for clauses
% 17.79/18.14 *** allocated 75937 integers for termspace/termends
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 256285 integers for clauses
% 17.79/18.14 *** allocated 113905 integers for termspace/termends
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 16043
% 17.79/18.14 Kept: 4077
% 17.79/18.14 Inuse: 316
% 17.79/18.14 Deleted: 0
% 17.79/18.14 Deletedinuse: 0
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 170857 integers for termspace/termends
% 17.79/18.14 *** allocated 384427 integers for clauses
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 23202
% 17.79/18.14 Kept: 6077
% 17.79/18.14 Inuse: 442
% 17.79/18.14 Deleted: 0
% 17.79/18.14 Deletedinuse: 0
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 256285 integers for termspace/termends
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 31382
% 17.79/18.14 Kept: 8195
% 17.79/18.14 Inuse: 541
% 17.79/18.14 Deleted: 0
% 17.79/18.14 Deletedinuse: 0
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 576640 integers for clauses
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 36451
% 17.79/18.14 Kept: 10306
% 17.79/18.14 Inuse: 656
% 17.79/18.14 Deleted: 0
% 17.79/18.14 Deletedinuse: 0
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 384427 integers for termspace/termends
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 44614
% 17.79/18.14 Kept: 12376
% 17.79/18.14 Inuse: 790
% 17.79/18.14 Deleted: 10
% 17.79/18.14 Deletedinuse: 9
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 864960 integers for clauses
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 576640 integers for termspace/termends
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 82183
% 17.79/18.14 Kept: 15858
% 17.79/18.14 Inuse: 854
% 17.79/18.14 Deleted: 11
% 17.79/18.14 Deletedinuse: 9
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 864960 integers for termspace/termends
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 146003
% 17.79/18.14 Kept: 18233
% 17.79/18.14 Inuse: 869
% 17.79/18.14 Deleted: 11
% 17.79/18.14 Deletedinuse: 9
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 *** allocated 1297440 integers for clauses
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14
% 17.79/18.14 Intermediate Status:
% 17.79/18.14 Generated: 183640
% 17.79/18.14 Kept: 20600
% 17.79/18.14 Inuse: 879
% 17.79/18.14 Deleted: 11
% 17.79/18.14 Deletedinuse: 9
% 17.79/18.14
% 17.79/18.14 Resimplifying inuse:
% 17.79/18.14 Done
% 17.79/18.14
% 17.79/18.14 Resimplifying clauses:
% 17.79/18.14
% 17.79/18.14 Bliksems!, er is een bewijs:
% 17.79/18.14 % SZS status Theorem
% 17.79/18.14 % SZS output start Refutation
% 17.79/18.14
% 17.79/18.14 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 17.79/18.14 (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 17.79/18.14 (171) {G0,W44,D11,L1,V0,M1} I { sum( n0, n4, divide( times( exp( divide(
% 17.79/18.14 divide( times( minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index
% 17.79/18.14 ) ), minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ),
% 17.79/18.14 tptp_minus_2 ), times( a_select2( sigma, tptp_sum_index ), a_select2(
% 17.79/18.14 sigma, tptp_sum_index ) ) ) ), a_select2( rho, tptp_sum_index ) ), times
% 17.79/18.14 ( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, tptp_sum_index ) ) ) )
% 17.79/18.14 ==> pv84 }.
% 17.79/18.14 (176) {G1,W53,D11,L3,V1,M3} I;d(171) { ! leq( n0, X ), ! leq( X, pred( pv47
% 17.79/18.14 ) ), divide( divide( times( exp( divide( divide( times( minus( a_select2
% 17.79/18.14 ( x, pv10 ), a_select2( mu, X ) ), minus( a_select2( x, pv10 ), a_select2
% 17.79/18.14 ( mu, X ) ) ), tptp_minus_2 ), times( a_select2( sigma, X ), a_select2(
% 17.79/18.14 sigma, X ) ) ) ), a_select2( rho, X ) ), times( sqrt( times( n2, tptp_pi
% 17.79/18.14 ) ), a_select2( sigma, X ) ) ), pv84 ) ==> a_select3( q, pv10, X ) }.
% 17.79/18.14 (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 17.79/18.14 (179) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv47 ) }.
% 17.79/18.14 (180) {G0,W3,D2,L1,V0,M1} I { ! pv47 ==> skol15 }.
% 17.79/18.14 (181) {G1,W46,D11,L1,V0,M1} I;d(171) { ! divide( divide( times( exp( divide
% 17.79/18.14 ( divide( times( minus( a_select2( x, pv10 ), a_select2( mu, skol15 ) ),
% 17.79/18.14 minus( a_select2( x, pv10 ), a_select2( mu, skol15 ) ) ), tptp_minus_2 )
% 17.79/18.14 , times( a_select2( sigma, skol15 ), a_select2( sigma, skol15 ) ) ) ),
% 17.79/18.14 a_select2( rho, skol15 ) ), times( sqrt( times( n2, tptp_pi ) ),
% 17.79/18.14 a_select2( sigma, skol15 ) ) ), pv84 ) ==> a_select3( q, pv10, skol15 )
% 17.79/18.14 }.
% 17.79/18.14 (3368) {G1,W9,D2,L3,V1,M3} P(10,180) { ! X = skol15, ! leq( X, pv47 ), gt(
% 17.79/18.14 pv47, X ) }.
% 17.79/18.14 (3371) {G2,W3,D2,L1,V0,M1} Q(3368);r(179) { gt( pv47, skol15 ) }.
% 17.79/18.14 (3427) {G3,W4,D3,L1,V0,M1} R(3371,12) { leq( skol15, pred( pv47 ) ) }.
% 17.79/18.14 (13754) {G2,W4,D3,L1,V0,M1} R(181,176);r(178) { ! leq( skol15, pred( pv47 )
% 17.79/18.14 ) }.
% 17.79/18.14 (20972) {G4,W0,D0,L0,V0,M0} S(13754);r(3427) { }.
% 17.79/18.14
% 17.79/18.14
% 17.79/18.14 % SZS output end Refutation
% 17.79/18.14 found a proof!
% 17.79/18.14
% 17.79/18.14
% 17.79/18.14 Unprocessed initial clauses:
% 17.79/18.14
% 17.79/18.14 (20974) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 17.79/18.14 (20975) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 17.79/18.14 (20976) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 17.79/18.14 (20977) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 17.79/18.14 (20978) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 17.79/18.14 }.
% 17.79/18.14 (20979) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 17.79/18.14 (20980) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 17.79/18.14 (20981) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (20982) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 17.79/18.14 (20983) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 17.79/18.14 (20984) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 17.79/18.14 (20985) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 17.79/18.14 (20986) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 17.79/18.14 (20987) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 17.79/18.14 (20988) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 17.79/18.14 (20989) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 17.79/18.14 (20990) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 17.79/18.14 (20991) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 17.79/18.14 , X ) }.
% 17.79/18.14 (20992) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 17.79/18.14 , X ) ) }.
% 17.79/18.14 (20993) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 17.79/18.14 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 17.79/18.14 (20994) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 17.79/18.14 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 17.79/18.14 V0 ), X, T ) = V0 }.
% 17.79/18.14 (20995) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 17.79/18.14 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 17.79/18.14 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 17.79/18.14 (20996) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 17.79/18.14 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 17.79/18.14 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 17.79/18.14 = a_select3( trans( X ), T, Z ) }.
% 17.79/18.14 (20997) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 17.79/18.14 (20998) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (20999) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21000) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha10( X, Y, Z ) }.
% 17.79/18.14 (21001) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21002) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21003) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21004) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 17.79/18.14 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 17.79/18.14 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 17.79/18.14 (21005) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 17.79/18.14 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 17.79/18.14 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 17.79/18.14 a_select3( inv( X ), T, Z ) }.
% 17.79/18.14 (21006) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 17.79/18.14 (21007) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21008) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21009) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha11( X, Y, Z ) }.
% 17.79/18.14 (21010) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21011) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21012) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21013) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 17.79/18.14 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 17.79/18.14 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 17.79/18.14 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 17.79/18.14 (21014) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 17.79/18.14 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 17.79/18.14 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 17.79/18.14 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 17.79/18.14 ( X, U, U, W ), T, Z ) }.
% 17.79/18.14 (21015) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 17.79/18.14 (21016) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21017) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21018) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha12( X, Y, Z ) }.
% 17.79/18.14 (21019) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21020) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21021) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21022) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 17.79/18.14 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 17.79/18.14 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 17.79/18.14 ), U, T ) }.
% 17.79/18.14 (21023) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 17.79/18.14 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 17.79/18.14 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 17.79/18.14 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 17.79/18.14 (21024) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 17.79/18.14 (21025) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21026) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21027) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha22( X, Y, Z ) }.
% 17.79/18.14 (21028) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21029) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21030) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21031) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 17.79/18.14 , skol20( X, Y ) ) }.
% 17.79/18.14 (21032) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 17.79/18.14 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 17.79/18.14 }.
% 17.79/18.14 (21033) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 17.79/18.14 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 17.79/18.14 (21034) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 17.79/18.14 (21035) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21036) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21037) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha23( X, Y, Z ) }.
% 17.79/18.14 (21038) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21039) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21040) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21041) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 17.79/18.14 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 17.79/18.14 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 17.79/18.14 ), U, T ) }.
% 17.79/18.14 (21042) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 17.79/18.14 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 17.79/18.14 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 17.79/18.14 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 17.79/18.14 (21043) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 17.79/18.14 (21044) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21045) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21046) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha24( X, Y, Z ) }.
% 17.79/18.14 (21047) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21048) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21049) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21050) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 17.79/18.14 , skol22( X, Y ) ) }.
% 17.79/18.14 (21051) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 17.79/18.14 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 17.79/18.14 }.
% 17.79/18.14 (21052) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 17.79/18.14 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 17.79/18.14 (21053) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 17.79/18.14 (21054) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21055) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21056) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha25( X, Y, Z ) }.
% 17.79/18.14 (21057) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21058) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21059) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21060) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 17.79/18.14 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 17.79/18.14 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 17.79/18.14 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 17.79/18.14 (21061) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 17.79/18.14 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 17.79/18.14 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 17.79/18.14 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 17.79/18.14 ( X, trans( U ) ) ), T, Z ) }.
% 17.79/18.14 (21062) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 17.79/18.14 (21063) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21064) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21065) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha17( X, Y, Z ) }.
% 17.79/18.14 (21066) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21067) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21068) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21069) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 17.79/18.14 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 17.79/18.14 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 17.79/18.14 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 17.79/18.14 (21070) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 17.79/18.14 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 17.79/18.14 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 17.79/18.14 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 17.79/18.14 ( X, trans( W ) ) ), T, Z ) }.
% 17.79/18.14 (21071) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 17.79/18.14 (21072) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21073) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21074) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha18( X, Y, Z ) }.
% 17.79/18.14 (21075) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21076) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21077) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21078) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 17.79/18.14 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 17.79/18.14 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 17.79/18.14 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 17.79/18.14 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 17.79/18.14 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 17.79/18.14 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 17.79/18.14 ) ), trans( V0 ) ) ) ), W, U ) }.
% 17.79/18.14 (21079) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 17.79/18.14 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 17.79/18.14 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 17.79/18.14 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 17.79/18.14 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 17.79/18.14 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 17.79/18.14 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 17.79/18.14 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 17.79/18.14 ) ), W, U ) }.
% 17.79/18.14 (21080) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 17.79/18.14 (21081) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21082) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21083) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha29( X, Y, Z ) }.
% 17.79/18.14 (21084) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21085) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21086) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21087) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 17.79/18.14 ), skol26( X, Y ) ) }.
% 17.79/18.14 (21088) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 17.79/18.14 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 17.79/18.14 }.
% 17.79/18.14 (21089) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 17.79/18.14 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 17.79/18.14 (21090) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 17.79/18.14 (21091) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21092) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21093) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha30( X, Y, Z ) }.
% 17.79/18.14 (21094) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21095) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21096) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21097) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 17.79/18.14 skol27( X, Y ) ) }.
% 17.79/18.14 (21098) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 17.79/18.14 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 17.79/18.14 (21099) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 17.79/18.14 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 17.79/18.14 (21100) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 17.79/18.14 (21101) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 17.79/18.14 (21102) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 17.79/18.14 (21103) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 17.79/18.14 , X ), alpha28( X, Y, Z ) }.
% 17.79/18.14 (21104) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21105) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 17.79/18.14 (21106) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21107) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 17.79/18.14 (21108) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 17.79/18.14 }.
% 17.79/18.14 (21109) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 17.79/18.14 (21110) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 17.79/18.14 (21111) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 17.79/18.14 (21112) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 17.79/18.14 (21113) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 17.79/18.14 (21114) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 17.79/18.14 }.
% 17.79/18.14 (21115) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 17.79/18.14 }.
% 17.79/18.14 (21116) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 17.79/18.14 ) ) ) }.
% 17.79/18.14 (21117) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 17.79/18.14 ) ) ) }.
% 17.79/18.14 (21118) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 17.79/18.14 succ( X ) ) ) ) ) }.
% 17.79/18.14 (21119) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 17.79/18.14 succ( X ) ) ) ) ) }.
% 17.79/18.14 (21120) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 17.79/18.14 (21121) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 17.79/18.14 (21122) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 17.79/18.14 (21123) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 17.79/18.14 }.
% 17.79/18.14 (21124) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 17.79/18.14 }.
% 17.79/18.14 (21125) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 17.79/18.14 (21126) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 17.79/18.14 (21127) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 17.79/18.14 ) = T }.
% 17.79/18.14 (21128) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 17.79/18.14 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 17.79/18.14 (21129) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 17.79/18.14 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 17.79/18.14 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 17.79/18.14 (21130) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 17.79/18.14 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 17.79/18.14 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 17.79/18.14 (21131) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 17.79/18.14 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 17.79/18.14 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 17.79/18.14 (21132) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 17.79/18.14 (21133) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 17.79/18.14 (21134) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 17.79/18.14 , Y, Z ) }.
% 17.79/18.14 (21135) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 17.79/18.14 (21136) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 17.79/18.14 (21137) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 17.79/18.14 ) }.
% 17.79/18.14 (21138) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 17.79/18.14 }.
% 17.79/18.14 (21139) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 17.79/18.14 tptp_update2( Z, X, U ), Y ) = T }.
% 17.79/18.14 (21140) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 17.79/18.14 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 17.79/18.14 (21141) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 17.79/18.14 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 17.79/18.14 (21142) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 17.79/18.14 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 17.79/18.14 }.
% 17.79/18.14 (21143) {G0,W1,D1,L1,V0,M1} { true }.
% 17.79/18.14 (21144) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 17.79/18.14 (21145) {G0,W44,D11,L1,V0,M1} { pv84 = sum( n0, n4, divide( times( exp(
% 17.79/18.14 divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.14 tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.14 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.14 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.14 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.14 sigma, tptp_sum_index ) ) ) ) }.
% 17.79/18.14 (21146) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 17.79/18.14 (21147) {G0,W3,D2,L1,V0,M1} { leq( n0, pv47 ) }.
% 17.79/18.14 (21148) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 17.79/18.14 (21149) {G0,W3,D2,L1,V0,M1} { leq( pv47, n4 ) }.
% 17.79/18.14 (21150) {G0,W94,D12,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv47 ) ),
% 17.79/18.14 a_select3( q, pv10, X ) = divide( divide( times( exp( divide( divide(
% 17.79/18.14 times( minus( a_select2( x, pv10 ), a_select2( mu, X ) ), minus(
% 17.79/18.14 a_select2( x, pv10 ), a_select2( mu, X ) ) ), tptp_minus_2 ), times(
% 17.79/18.14 a_select2( sigma, X ), a_select2( sigma, X ) ) ) ), a_select2( rho, X ) )
% 17.79/18.14 , times( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, X ) ) ), sum( n0
% 17.79/18.14 , n4, divide( times( exp( divide( divide( times( minus( a_select2( x,
% 17.79/18.14 pv10 ), a_select2( mu, tptp_sum_index ) ), minus( a_select2( x, pv10 ),
% 17.79/18.14 a_select2( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2(
% 17.79/18.14 sigma, tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ),
% 17.79/18.14 a_select2( rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ),
% 17.79/18.14 a_select2( sigma, tptp_sum_index ) ) ) ) ) }.
% 17.79/18.14 (21151) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 17.79/18.14 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 17.79/18.14 (21152) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 17.79/18.14 (21153) {G0,W3,D2,L1,V0,M1} { leq( skol15, pv47 ) }.
% 17.79/18.14 (21154) {G0,W3,D2,L1,V0,M1} { ! pv47 = skol15 }.
% 17.79/18.14 (21155) {G0,W87,D12,L1,V0,M1} { ! a_select3( q, pv10, skol15 ) = divide(
% 17.79/18.14 divide( times( exp( divide( divide( times( minus( a_select2( x, pv10 ),
% 17.79/18.14 a_select2( mu, skol15 ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.14 skol15 ) ) ), tptp_minus_2 ), times( a_select2( sigma, skol15 ),
% 17.79/18.14 a_select2( sigma, skol15 ) ) ) ), a_select2( rho, skol15 ) ), times( sqrt
% 17.79/18.14 ( times( n2, tptp_pi ) ), a_select2( sigma, skol15 ) ) ), sum( n0, n4,
% 17.79/18.14 divide( times( exp( divide( divide( times( minus( a_select2( x, pv10 ),
% 17.79/18.14 a_select2( mu, tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2
% 17.79/18.14 ( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.14 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.14 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.14 sigma, tptp_sum_index ) ) ) ) ) }.
% 17.79/18.14 (21156) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 17.79/18.14 (21157) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 17.79/18.14 (21158) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 17.79/18.14 (21159) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 17.79/18.14 (21160) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 17.79/18.14 (21161) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 17.79/18.14 (21162) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 17.79/18.14 (21163) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 17.79/18.14 (21164) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 17.79/18.14 (21165) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 17.79/18.14 (21166) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_2 ) }.
% 17.79/18.14 (21167) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_2 ) }.
% 17.79/18.14 (21168) {G0,W3,D2,L1,V0,M1} { gt( tptp_minus_1, tptp_minus_2 ) }.
% 17.79/18.14 (21169) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_2 ) }.
% 17.79/18.14 (21170) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_2 ) }.
% 17.79/18.14 (21171) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_2 ) }.
% 17.79/18.14 (21172) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_2 ) }.
% 17.79/18.14 (21173) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_2 ) }.
% 17.79/18.14 (21174) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 17.79/18.14 (21175) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 17.79/18.14 (21176) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 17.79/18.14 (21177) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 17.79/18.14 (21178) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 17.79/18.14 (21179) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 17.79/18.14 (21180) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 17.79/18.14 (21181) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 17.79/18.14 (21182) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 17.79/18.14 (21183) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 17.79/18.14 (21184) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 17.79/18.14 (21185) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 17.79/18.14 (21186) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 17.79/18.14 (21187) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 17.79/18.14 (21188) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 17.79/18.14 (21189) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 17.79/18.14 (21190) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 17.79/18.14 (21191) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 17.79/18.14 (21192) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 17.79/18.14 n1, X = n2, X = n3, X = n4 }.
% 17.79/18.14 (21193) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 17.79/18.14 n1, X = n2, X = n3, X = n4, X = n5 }.
% 17.79/18.14 (21194) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 17.79/18.14 (21195) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 17.79/18.14 n1 }.
% 17.79/18.14 (21196) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 17.79/18.14 n1, X = n2 }.
% 17.79/18.14 (21197) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 17.79/18.14 n1, X = n2, X = n3 }.
% 17.79/18.14 (21198) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 17.79/18.14 (21199) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 17.79/18.14 n5 }.
% 17.79/18.14 (21200) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 17.79/18.14 (21201) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 17.79/18.14 (21202) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 17.79/18.14
% 17.79/18.14
% 17.79/18.14 Total Proof:
% 17.79/18.14
% 17.79/18.14 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 17.79/18.14 }.
% 17.79/18.14 parent0: (20984) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X )
% 17.79/18.14 }.
% 17.79/18.14 substitution0:
% 17.79/18.14 X := X
% 17.79/18.14 Y := Y
% 17.79/18.14 end
% 17.79/18.14 permutation0:
% 17.79/18.14 0 ==> 0
% 17.79/18.14 1 ==> 1
% 17.79/18.14 2 ==> 2
% 17.79/18.14 end
% 17.79/18.14
% 17.79/18.14 subsumption: (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) )
% 17.79/18.14 }.
% 17.79/18.14 parent0: (20986) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) )
% 17.79/18.14 }.
% 17.79/18.14 substitution0:
% 17.79/18.14 X := X
% 17.79/18.14 Y := Y
% 17.79/18.14 end
% 17.79/18.14 permutation0:
% 17.79/18.14 0 ==> 0
% 17.79/18.14 1 ==> 1
% 17.79/18.14 end
% 17.79/18.14
% 17.79/18.14 eqswap: (21738) {G0,W44,D11,L1,V0,M1} { sum( n0, n4, divide( times( exp(
% 17.79/18.14 divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.14 tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.14 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.14 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.14 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.14 sigma, tptp_sum_index ) ) ) ) = pv84 }.
% 17.79/18.14 parent0[0]: (21145) {G0,W44,D11,L1,V0,M1} { pv84 = sum( n0, n4, divide(
% 17.79/18.14 times( exp( divide( divide( times( minus( a_select2( x, pv10 ), a_select2
% 17.79/18.14 ( mu, tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.14 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.14 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.14 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.14 sigma, tptp_sum_index ) ) ) ) }.
% 17.79/18.14 substitution0:
% 17.79/18.14 end
% 17.79/18.14
% 17.79/18.14 subsumption: (171) {G0,W44,D11,L1,V0,M1} I { sum( n0, n4, divide( times(
% 17.79/18.15 exp( divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.15 tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.15 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.15 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.15 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.15 sigma, tptp_sum_index ) ) ) ) ==> pv84 }.
% 17.79/18.15 parent0: (21738) {G0,W44,D11,L1,V0,M1} { sum( n0, n4, divide( times( exp(
% 17.79/18.15 divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.15 tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.15 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.15 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.15 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.15 sigma, tptp_sum_index ) ) ) ) = pv84 }.
% 17.79/18.15 substitution0:
% 17.79/18.15 end
% 17.79/18.15 permutation0:
% 17.79/18.15 0 ==> 0
% 17.79/18.15 end
% 17.79/18.15
% 17.79/18.15 paramod: (22447) {G1,W53,D11,L3,V1,M3} { a_select3( q, pv10, X ) = divide
% 17.79/18.15 ( divide( times( exp( divide( divide( times( minus( a_select2( x, pv10 )
% 17.79/18.15 , a_select2( mu, X ) ), minus( a_select2( x, pv10 ), a_select2( mu, X ) )
% 17.79/18.15 ), tptp_minus_2 ), times( a_select2( sigma, X ), a_select2( sigma, X ) )
% 17.79/18.15 ) ), a_select2( rho, X ) ), times( sqrt( times( n2, tptp_pi ) ),
% 17.79/18.15 a_select2( sigma, X ) ) ), pv84 ), ! leq( n0, X ), ! leq( X, pred( pv47 )
% 17.79/18.15 ) }.
% 17.79/18.15 parent0[0]: (171) {G0,W44,D11,L1,V0,M1} I { sum( n0, n4, divide( times( exp
% 17.79/18.15 ( divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.15 tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.15 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.15 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.15 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.15 sigma, tptp_sum_index ) ) ) ) ==> pv84 }.
% 17.79/18.15 parent1[2; 45]: (21150) {G0,W94,D12,L3,V1,M3} { ! leq( n0, X ), ! leq( X,
% 17.79/18.15 pred( pv47 ) ), a_select3( q, pv10, X ) = divide( divide( times( exp(
% 17.79/18.15 divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu, X ) )
% 17.79/18.15 , minus( a_select2( x, pv10 ), a_select2( mu, X ) ) ), tptp_minus_2 ),
% 17.79/18.15 times( a_select2( sigma, X ), a_select2( sigma, X ) ) ) ), a_select2( rho
% 17.79/18.15 , X ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, X ) ) ),
% 17.79/18.15 sum( n0, n4, divide( times( exp( divide( divide( times( minus( a_select2
% 17.79/18.15 ( x, pv10 ), a_select2( mu, tptp_sum_index ) ), minus( a_select2( x, pv10
% 17.79/18.15 ), a_select2( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2
% 17.79/18.15 ( sigma, tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ),
% 17.79/18.15 a_select2( rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ),
% 17.79/18.15 a_select2( sigma, tptp_sum_index ) ) ) ) ) }.
% 17.79/18.15 substitution0:
% 17.79/18.15 end
% 17.79/18.15 substitution1:
% 17.79/18.15 X := X
% 17.79/18.15 end
% 17.79/18.15
% 17.79/18.15 eqswap: (22448) {G1,W53,D11,L3,V1,M3} { divide( divide( times( exp( divide
% 17.79/18.15 ( divide( times( minus( a_select2( x, pv10 ), a_select2( mu, X ) ), minus
% 17.79/18.15 ( a_select2( x, pv10 ), a_select2( mu, X ) ) ), tptp_minus_2 ), times(
% 17.79/18.15 a_select2( sigma, X ), a_select2( sigma, X ) ) ) ), a_select2( rho, X ) )
% 17.79/18.15 , times( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, X ) ) ), pv84 )
% 17.79/18.15 = a_select3( q, pv10, X ), ! leq( n0, X ), ! leq( X, pred( pv47 ) ) }.
% 17.79/18.15 parent0[0]: (22447) {G1,W53,D11,L3,V1,M3} { a_select3( q, pv10, X ) =
% 17.79/18.15 divide( divide( times( exp( divide( divide( times( minus( a_select2( x,
% 17.79/18.15 pv10 ), a_select2( mu, X ) ), minus( a_select2( x, pv10 ), a_select2( mu
% 17.79/18.15 , X ) ) ), tptp_minus_2 ), times( a_select2( sigma, X ), a_select2( sigma
% 17.79/18.15 , X ) ) ) ), a_select2( rho, X ) ), times( sqrt( times( n2, tptp_pi ) ),
% 17.79/18.15 a_select2( sigma, X ) ) ), pv84 ), ! leq( n0, X ), ! leq( X, pred( pv47 )
% 17.79/18.15 ) }.
% 17.79/18.15 substitution0:
% 17.79/18.15 X := X
% 17.79/18.15 end
% 17.79/18.15
% 17.79/18.15 subsumption: (176) {G1,W53,D11,L3,V1,M3} I;d(171) { ! leq( n0, X ), ! leq(
% 17.79/18.15 X, pred( pv47 ) ), divide( divide( times( exp( divide( divide( times(
% 17.79/18.15 minus( a_select2( x, pv10 ), a_select2( mu, X ) ), minus( a_select2( x,
% 17.79/18.15 pv10 ), a_select2( mu, X ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.15 X ), a_select2( sigma, X ) ) ) ), a_select2( rho, X ) ), times( sqrt(
% 17.79/18.16 times( n2, tptp_pi ) ), a_select2( sigma, X ) ) ), pv84 ) ==> a_select3(
% 17.79/18.16 q, pv10, X ) }.
% 17.79/18.16 parent0: (22448) {G1,W53,D11,L3,V1,M3} { divide( divide( times( exp(
% 17.79/18.16 divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu, X ) )
% 17.79/18.16 , minus( a_select2( x, pv10 ), a_select2( mu, X ) ) ), tptp_minus_2 ),
% 17.79/18.16 times( a_select2( sigma, X ), a_select2( sigma, X ) ) ) ), a_select2( rho
% 17.79/18.16 , X ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, X ) ) ),
% 17.79/18.16 pv84 ) = a_select3( q, pv10, X ), ! leq( n0, X ), ! leq( X, pred( pv47 )
% 17.79/18.16 ) }.
% 17.79/18.16 substitution0:
% 17.79/18.16 X := X
% 17.79/18.16 end
% 17.79/18.16 permutation0:
% 17.79/18.16 0 ==> 2
% 17.79/18.16 1 ==> 0
% 17.79/18.16 2 ==> 1
% 17.79/18.16 end
% 17.79/18.16
% 17.79/18.16 subsumption: (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 17.79/18.16 parent0: (21152) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 17.79/18.16 substitution0:
% 17.79/18.16 end
% 17.79/18.16 permutation0:
% 17.79/18.16 0 ==> 0
% 17.79/18.16 end
% 17.79/18.16
% 17.79/18.16 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv47 ) }.
% 17.79/18.16 parent0: (21153) {G0,W3,D2,L1,V0,M1} { leq( skol15, pv47 ) }.
% 17.79/18.16 substitution0:
% 17.79/18.16 end
% 17.79/18.16 permutation0:
% 17.79/18.16 0 ==> 0
% 17.79/18.16 end
% 17.79/18.16
% 17.79/18.16 subsumption: (180) {G0,W3,D2,L1,V0,M1} I { ! pv47 ==> skol15 }.
% 17.79/18.16 parent0: (21154) {G0,W3,D2,L1,V0,M1} { ! pv47 = skol15 }.
% 17.79/18.16 substitution0:
% 17.79/18.16 end
% 17.79/18.16 permutation0:
% 17.79/18.16 0 ==> 0
% 17.79/18.16 end
% 17.79/18.16
% 17.79/18.16 paramod: (24760) {G1,W46,D11,L1,V0,M1} { ! a_select3( q, pv10, skol15 ) =
% 17.79/18.16 divide( divide( times( exp( divide( divide( times( minus( a_select2( x,
% 17.79/18.16 pv10 ), a_select2( mu, skol15 ) ), minus( a_select2( x, pv10 ), a_select2
% 17.79/18.16 ( mu, skol15 ) ) ), tptp_minus_2 ), times( a_select2( sigma, skol15 ),
% 17.79/18.16 a_select2( sigma, skol15 ) ) ) ), a_select2( rho, skol15 ) ), times( sqrt
% 17.79/18.16 ( times( n2, tptp_pi ) ), a_select2( sigma, skol15 ) ) ), pv84 ) }.
% 17.79/18.16 parent0[0]: (171) {G0,W44,D11,L1,V0,M1} I { sum( n0, n4, divide( times( exp
% 17.79/18.16 ( divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.16 tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 17.79/18.16 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.16 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 17.79/18.16 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 17.79/18.16 sigma, tptp_sum_index ) ) ) ) ==> pv84 }.
% 17.79/18.16 parent1[0; 46]: (21155) {G0,W87,D12,L1,V0,M1} { ! a_select3( q, pv10,
% 17.79/18.16 skol15 ) = divide( divide( times( exp( divide( divide( times( minus(
% 17.79/18.16 a_select2( x, pv10 ), a_select2( mu, skol15 ) ), minus( a_select2( x,
% 17.79/18.16 pv10 ), a_select2( mu, skol15 ) ) ), tptp_minus_2 ), times( a_select2(
% 17.79/18.16 sigma, skol15 ), a_select2( sigma, skol15 ) ) ) ), a_select2( rho, skol15
% 17.79/18.16 ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, skol15 ) ) )
% 17.79/18.16 , sum( n0, n4, divide( times( exp( divide( divide( times( minus(
% 17.79/18.16 a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ), minus( a_select2
% 17.79/18.16 ( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times(
% 17.79/18.16 a_select2( sigma, tptp_sum_index ), a_select2( sigma, tptp_sum_index ) )
% 17.79/18.16 ) ), a_select2( rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi
% 17.79/18.16 ) ), a_select2( sigma, tptp_sum_index ) ) ) ) ) }.
% 17.79/18.16 substitution0:
% 17.79/18.16 end
% 17.79/18.16 substitution1:
% 17.79/18.16 end
% 17.79/18.16
% 17.79/18.16 eqswap: (24761) {G1,W46,D11,L1,V0,M1} { ! divide( divide( times( exp(
% 17.79/18.16 divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu, skol15
% 17.79/18.16 ) ), minus( a_select2( x, pv10 ), a_select2( mu, skol15 ) ) ),
% 17.79/18.16 tptp_minus_2 ), times( a_select2( sigma, skol15 ), a_select2( sigma,
% 17.79/18.16 skol15 ) ) ) ), a_select2( rho, skol15 ) ), times( sqrt( times( n2,
% 17.79/18.16 tptp_pi ) ), a_select2( sigma, skol15 ) ) ), pv84 ) = a_select3( q, pv10
% 17.79/18.16 , skol15 ) }.
% 17.79/18.16 parent0[0]: (24760) {G1,W46,D11,L1,V0,M1} { ! a_select3( q, pv10, skol15 )
% 17.79/18.16 = divide( divide( times( exp( divide( divide( times( minus( a_select2( x
% 17.79/18.16 , pv10 ), a_select2( mu, skol15 ) ), minus( a_select2( x, pv10 ),
% 17.79/18.16 a_select2( mu, skol15 ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 17.79/18.16 skol15 ), a_select2( sigma, skol15 ) ) ) ), a_select2( rho, skol15 ) ),
% 17.79/18.16 times( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, skol15 ) ) ), pv84
% 17.79/18.16 ) }.
% 17.79/18.16 substitution0:
% 17.79/18.16 end
% 17.79/18.16
% 17.79/18.16 subsumption: (181) {G1,W46,D11,L1,V0,M1} I;d(171) { ! divide( divide( times
% 17.79/18.16 ( exp( divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu
% 17.79/18.16 , skol15 ) ), minus( a_seleCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------