TSTP Solution File: SWV053+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 16:22:19 EDT 2022
% Result : Theorem 13.25s 13.68s
% Output : Refutation 13.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Thu Jun 16 06:50:17 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.81/1.20 *** allocated 10000 integers for termspace/termends
% 0.81/1.20 *** allocated 10000 integers for clauses
% 0.81/1.20 *** allocated 10000 integers for justifications
% 0.81/1.20 Bliksem 1.12
% 0.81/1.20
% 0.81/1.20
% 0.81/1.20 Automatic Strategy Selection
% 0.81/1.20
% 0.81/1.20 *** allocated 15000 integers for termspace/termends
% 0.81/1.20
% 0.81/1.20 Clauses:
% 0.81/1.20
% 0.81/1.20 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.81/1.20 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.81/1.20 { ! gt( X, X ) }.
% 0.81/1.20 { leq( X, X ) }.
% 0.81/1.20 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.81/1.20 { ! lt( X, Y ), gt( Y, X ) }.
% 0.81/1.20 { ! gt( Y, X ), lt( X, Y ) }.
% 0.81/1.20 { ! geq( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( Y, X ), geq( X, Y ) }.
% 0.81/1.20 { ! gt( Y, X ), leq( X, Y ) }.
% 0.81/1.20 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.81/1.20 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.81/1.20 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.81/1.20 { gt( succ( X ), X ) }.
% 0.81/1.20 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.81/1.20 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.81/1.20 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.81/1.20 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.81/1.20 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.81/1.20 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.81/1.20 T ), X ) = T }.
% 0.81/1.20 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.81/1.20 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.81/1.20 { alpha11( Y, skol1( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.81/1.20 a_select3( trans( X ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol1( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.81/1.20 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.81/1.20 ) }.
% 0.81/1.20 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.81/1.20 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.81/1.20 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.81/1.20 { alpha12( Y, skol2( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.81/1.20 a_select3( inv( X ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol2( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.81/1.20 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.81/1.20 .
% 0.81/1.20 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.81/1.20 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.81/1.20 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.81/1.20 { alpha13( Y, skol3( X, Y ), skol19( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.81/1.20 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.81/1.20 X, U, U, W ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol3( X, Y ), skol19( X, Y ) ) = a_select3( X, skol19( X
% 0.81/1.20 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.81/1.20 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.81/1.20 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.81/1.20 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.81/1.20 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.81/1.20 { alpha4( X, Z ), alpha24( Z, skol4( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.81/1.20 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.81/1.20 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.81/1.20 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol20( Y, Z ) ) =
% 0.81/1.20 a_select3( Y, skol20( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.81/1.20 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.81/1.20 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.81/1.20 { ! alpha24( X, Y, Z ), alpha14( X, Y ) }.
% 0.81/1.20 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.81/1.20 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.81/1.20 { ! alpha4( X, Y ), alpha25( Y, skol5( X, Y ), skol21( X, Y ) ) }.
% 0.81/1.20 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol21( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol21( X, Y ), skol5( X, Y ) ) }.
% 0.81/1.20 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.81/1.20 ( X, Y ) }.
% 0.81/1.20 { ! alpha25( X, Y, Z ), alpha15( X, Y ) }.
% 0.81/1.20 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.81/1.20 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.81/1.20 { alpha5( X, Z ), alpha26( Z, skol6( Y, Z ), skol22( Y, Z ) ), ! leq( n0, T
% 0.81/1.20 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.81/1.20 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.81/1.20 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol22( Y, Z ) ) =
% 0.81/1.20 a_select3( Y, skol22( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.81/1.20 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.81/1.20 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.81/1.20 { ! alpha26( X, Y, Z ), alpha16( X, Y ) }.
% 0.81/1.20 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.81/1.20 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.81/1.20 { ! alpha5( X, Y ), alpha27( Y, skol7( X, Y ), skol23( X, Y ) ) }.
% 0.81/1.20 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol23( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol23( X, Y ), skol7( X, Y ) ) }.
% 0.81/1.20 { ! alpha27( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.81/1.20 ( X, Y ) }.
% 0.81/1.20 { ! alpha27( X, Y, Z ), alpha17( X, Y ) }.
% 0.81/1.20 { ! alpha27( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha27( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha27( X, Y, Z ) }.
% 0.81/1.20 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.81/1.20 { alpha18( Y, skol8( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.81/1.20 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.81/1.20 U ) ) ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol8( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.81/1.20 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.81/1.20 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.81/1.20 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.81/1.20 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.81/1.20 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.81/1.20 { alpha19( Y, skol9( X, Y ), skol25( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.81/1.20 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.81/1.20 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.81/1.20 W ) ) ), T, Z ) }.
% 0.81/1.20 { ! a_select3( X, skol9( X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X
% 0.81/1.20 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.81/1.20 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.81/1.20 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.81/1.20 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.81/1.20 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.81/1.20 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.81/1.20 { alpha8( Y ), alpha20( X, T ), alpha33( T, skol10( Z, T ), skol26( Z, T )
% 0.81/1.20 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.81/1.20 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.81/1.20 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.81/1.20 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.81/1.20 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.81/1.20 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.81/1.20 ) }.
% 0.81/1.20 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol26( Z,
% 0.81/1.20 T ) ) = a_select3( Z, skol26( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.81/1.20 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.81/1.20 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.81/1.20 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.81/1.20 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.81/1.20 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.81/1.20 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.81/1.20 { ! alpha33( X, Y, Z ), alpha28( X, Y ) }.
% 0.81/1.20 { ! alpha33( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha33( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha33( X, Y, Z ) }.
% 0.81/1.20 { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y ) }.
% 0.81/1.20 { ! alpha20( X, Y ), alpha34( Y, skol11( X, Y ), skol27( X, Y ) ) }.
% 0.81/1.20 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol27( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol27( X, Y ), skol11( X, Y ) ) }.
% 0.81/1.20 { ! alpha34( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.81/1.20 alpha20( X, Y ) }.
% 0.81/1.20 { ! alpha34( X, Y, Z ), alpha29( X, Y ) }.
% 0.81/1.20 { ! alpha34( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha34( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha29( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha34( X, Y, Z ) }.
% 0.81/1.20 { ! alpha29( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha29( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha29( X, Y ) }.
% 0.81/1.20 { ! alpha8( X ), alpha30( Y, skol12( X, Y ), skol28( X, Y ) ) }.
% 0.81/1.20 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol28( X, Y ) ) =
% 0.81/1.20 a_select3( X, skol28( X, Y ), skol12( X, Y ) ) }.
% 0.81/1.20 { ! alpha30( skol32( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.81/1.20 ), alpha8( X ) }.
% 0.81/1.20 { ! alpha30( X, Y, Z ), alpha21( X, Y ) }.
% 0.81/1.20 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.81/1.20 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.81/1.20 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.81/1.20 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.81/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.81/1.20 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.81/1.20 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.81/1.20 { succ( tptp_minus_1 ) = n0 }.
% 0.81/1.20 { plus( X, n1 ) = succ( X ) }.
% 0.81/1.20 { plus( n1, X ) = succ( X ) }.
% 0.81/1.20 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.81/1.20 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.81/1.20 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.81/1.20 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.81/1.20 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.81/1.20 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.81/1.20 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.81/1.20 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.81/1.20 { minus( X, n1 ) = pred( X ) }.
% 0.81/1.20 { pred( succ( X ) ) = X }.
% 0.81/1.20 { succ( pred( X ) ) = X }.
% 0.81/1.20 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.81/1.20 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.81/1.20 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.81/1.20 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.81/1.20 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.81/1.20 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.81/1.20 , Y, V0 ), Z, T ) = W }.
% 0.81/1.20 { leq( skol29( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.81/1.20 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.81/1.20 }.
% 0.81/1.20 { alpha22( Z, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ), ! leq( n0, X )
% 0.81/1.20 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.81/1.20 U, Z, T, W ), X, Y ) = W }.
% 0.81/1.20 { ! a_select3( U, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ) = W, ! leq(
% 0.81/1.20 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.81/1.20 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.81/1.20 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.81/1.20 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.81/1.20 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.81/1.20 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.81/1.20 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.81/1.20 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.81/1.20 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.81/1.20 T }.
% 0.81/1.20 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.81/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.81/1.20 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.81/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.81/1.20 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.81/1.20 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.81/1.20 { true }.
% 0.81/1.20 { ! def = use }.
% 0.81/1.20 { leq( n0, pv10 ) }.
% 0.81/1.20 { leq( n0, pv12 ) }.
% 0.81/1.20 { leq( pv10, minus( n135300, n1 ) ) }.
% 0.81/1.20 { leq( pv12, minus( n5, n1 ) ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, minus( pv12, n1 ) ), a_select3( q, pv10, X ) =
% 0.81/1.20 divide( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x,
% 0.81/1.20 pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ),
% 0.81/1.20 sum( n0, minus( n5, n1 ), sqrt( times( minus( a_select3( center, Y, n0 )
% 0.81/1.20 , a_select2( x, pv10 ) ), minus( a_select3( center, Y, n0 ), a_select2( x
% 0.81/1.20 , pv10 ) ) ) ) ) ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, minus( pv10, n1 ) ), sum( n0, minus( n5, n1 ),
% 0.81/1.20 a_select3( q, X, Y ) ) = n1 }.
% 0.81/1.20 { alpha10, leq( n0, skol15 ) }.
% 0.81/1.20 { alpha10, leq( skol15, minus( pv10, n1 ) ) }.
% 0.81/1.20 { alpha10, ! sum( n0, minus( n5, n1 ), a_select3( q, skol15, skol30 ) ) =
% 0.81/1.20 n1 }.
% 0.81/1.20 { ! alpha10, alpha23, alpha31 }.
% 0.81/1.20 { ! alpha23, alpha10 }.
% 0.81/1.20 { ! alpha31, alpha10 }.
% 0.81/1.20 { ! alpha31, leq( n0, skol16 ) }.
% 0.81/1.20 { ! alpha31, leq( skol16, minus( pv12, n1 ) ) }.
% 0.81/1.20 { ! alpha31, ! a_select3( q, pv10, skol16 ) = divide( sqrt( times( minus(
% 0.81/1.20 a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ), minus( a_select3
% 0.81/1.20 ( center, skol16, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0, minus( n5,
% 0.81/1.20 n1 ), sqrt( times( minus( a_select3( center, skol31, n0 ), a_select2( x,
% 0.81/1.20 pv10 ) ), minus( a_select3( center, skol31, n0 ), a_select2( x, pv10 ) )
% 0.81/1.20 ) ) ) ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, minus( pv12, n1 ) ), a_select3( q, pv10, X ) =
% 0.81/1.20 divide( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x,
% 0.81/1.20 pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ),
% 0.81/1.20 sum( n0, minus( n5, n1 ), sqrt( times( minus( a_select3( center, Y, n0 )
% 0.81/1.20 , a_select2( x, pv10 ) ), minus( a_select3( center, Y, n0 ), a_select2( x
% 0.81/1.20 , pv10 ) ) ) ) ) ), alpha31 }.
% 0.81/1.20 { ! alpha23, alpha32, ! leq( pv12, minus( n5, n1 ) ) }.
% 0.81/1.20 { ! alpha32, alpha23 }.
% 0.81/1.20 { leq( pv12, minus( n5, n1 ) ), alpha23 }.
% 0.81/1.20 { ! alpha32, alpha35, ! leq( pv10, minus( n135300, n1 ) ) }.
% 0.81/1.20 { ! alpha35, alpha32 }.
% 0.81/1.20 { leq( pv10, minus( n135300, n1 ) ), alpha32 }.
% 0.81/1.20 { ! alpha35, ! n0 = sum( n0, minus( n0, n1 ), sqrt( times( minus( a_select3
% 0.81/1.20 ( center, pv71, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center,
% 0.81/1.20 pv71, n0 ), a_select2( x, pv10 ) ) ) ) ), ! leq( n0, pv10 ), ! leq( n0,
% 0.81/1.20 pv12 ) }.
% 0.81/1.20 { n0 = sum( n0, minus( n0, n1 ), sqrt( times( minus( a_select3( center,
% 0.81/1.20 pv71, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, pv71, n0 )
% 0.81/1.20 , a_select2( x, pv10 ) ) ) ) ), alpha35 }.
% 0.81/1.20 { leq( n0, pv10 ), alpha35 }.
% 0.81/1.20 { leq( n0, pv12 ), alpha35 }.
% 0.81/1.20 { gt( n5, n4 ) }.
% 0.81/1.20 { gt( n135300, n4 ) }.
% 0.81/1.20 { gt( n135300, n5 ) }.
% 0.81/1.20 { gt( n4, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n5, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n135300, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n0, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n1, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n2, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n3, tptp_minus_1 ) }.
% 0.81/1.20 { gt( n4, n0 ) }.
% 0.81/1.20 { gt( n5, n0 ) }.
% 0.81/1.20 { gt( n135300, n0 ) }.
% 0.81/1.20 { gt( n1, n0 ) }.
% 0.81/1.20 { gt( n2, n0 ) }.
% 0.81/1.20 { gt( n3, n0 ) }.
% 0.81/1.20 { gt( n4, n1 ) }.
% 0.81/1.20 { gt( n5, n1 ) }.
% 0.81/1.20 { gt( n135300, n1 ) }.
% 0.81/1.20 { gt( n2, n1 ) }.
% 0.81/1.20 { gt( n3, n1 ) }.
% 0.81/1.20 { gt( n4, n2 ) }.
% 0.81/1.20 { gt( n5, n2 ) }.
% 0.81/1.20 { gt( n135300, n2 ) }.
% 0.81/1.20 { gt( n3, n2 ) }.
% 0.81/1.20 { gt( n4, n3 ) }.
% 0.81/1.20 { gt( n5, n3 ) }.
% 0.81/1.20 { gt( n135300, n3 ) }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.81/1.20 .
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.81/1.20 = n5 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.81/1.20 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.81/1.42 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.81/1.42 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.81/1.42 { succ( n0 ) = n1 }.
% 0.81/1.42 { succ( succ( n0 ) ) = n2 }.
% 0.81/1.42 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.81/1.42
% 0.81/1.42 *** allocated 15000 integers for clauses
% 0.81/1.42 percentage equality = 0.176776, percentage horn = 0.861472
% 0.81/1.42 This is a problem with some equality
% 0.81/1.42
% 0.81/1.42
% 0.81/1.42
% 0.81/1.42 Options Used:
% 0.81/1.42
% 0.81/1.42 useres = 1
% 0.81/1.42 useparamod = 1
% 0.81/1.42 useeqrefl = 1
% 0.81/1.42 useeqfact = 1
% 0.81/1.42 usefactor = 1
% 0.81/1.42 usesimpsplitting = 0
% 0.81/1.42 usesimpdemod = 5
% 0.81/1.42 usesimpres = 3
% 0.81/1.42
% 0.81/1.42 resimpinuse = 1000
% 0.81/1.42 resimpclauses = 20000
% 0.81/1.42 substype = eqrewr
% 0.81/1.42 backwardsubs = 1
% 0.81/1.42 selectoldest = 5
% 0.81/1.42
% 0.81/1.42 litorderings [0] = split
% 0.81/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.42
% 0.81/1.42 termordering = kbo
% 0.81/1.42
% 0.81/1.42 litapriori = 0
% 0.81/1.42 termapriori = 1
% 0.81/1.42 litaposteriori = 0
% 0.81/1.42 termaposteriori = 0
% 0.81/1.42 demodaposteriori = 0
% 0.81/1.42 ordereqreflfact = 0
% 0.81/1.42
% 0.81/1.42 litselect = negord
% 0.81/1.42
% 0.81/1.42 maxweight = 15
% 0.81/1.42 maxdepth = 30000
% 0.81/1.42 maxlength = 115
% 0.81/1.42 maxnrvars = 195
% 0.81/1.42 excuselevel = 1
% 0.81/1.42 increasemaxweight = 1
% 0.81/1.42
% 0.81/1.42 maxselected = 10000000
% 0.81/1.42 maxnrclauses = 10000000
% 0.81/1.42
% 0.81/1.42 showgenerated = 0
% 0.81/1.42 showkept = 0
% 0.81/1.42 showselected = 0
% 0.81/1.42 showdeleted = 0
% 0.81/1.42 showresimp = 1
% 0.81/1.42 showstatus = 2000
% 0.81/1.42
% 0.81/1.42 prologoutput = 0
% 0.81/1.42 nrgoals = 5000000
% 0.81/1.42 totalproof = 1
% 0.81/1.42
% 0.81/1.42 Symbols occurring in the translation:
% 0.81/1.42
% 0.81/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.42 . [1, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.81/1.42 ! [4, 1] (w:0, o:62, a:1, s:1, b:0),
% 0.81/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.42 gt [37, 2] (w:1, o:98, a:1, s:1, b:0),
% 0.81/1.42 leq [39, 2] (w:1, o:99, a:1, s:1, b:0),
% 0.81/1.42 lt [40, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.81/1.42 geq [41, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.81/1.42 pred [42, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.81/1.42 succ [43, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.81/1.42 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.81/1.42 uniform_int_rnd [46, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.81/1.42 dim [51, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.81/1.42 tptp_const_array1 [52, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.81/1.42 a_select2 [53, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.81/1.42 tptp_const_array2 [59, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.81/1.42 a_select3 [60, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.81/1.42 trans [63, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.81/1.42 inv [64, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.81/1.42 tptp_update3 [67, 4] (w:1, o:173, a:1, s:1, b:0),
% 0.81/1.42 tptp_madd [69, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.81/1.42 tptp_msub [70, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.81/1.42 tptp_mmul [71, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.81/1.42 tptp_minus_1 [77, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.81/1.42 sum [78, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.81/1.42 tptp_float_0_0 [79, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.81/1.42 n1 [80, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.81/1.42 plus [81, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.81/1.42 n2 [82, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.81/1.42 n3 [83, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.81/1.42 n4 [84, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.81/1.42 n5 [85, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.81/1.42 minus [86, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.81/1.42 tptp_update2 [91, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.81/1.42 true [92, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.81/1.42 def [93, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.81/1.42 use [94, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.81/1.42 pv10 [95, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.81/1.42 pv12 [96, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.81/1.42 n135300 [97, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.81/1.42 q [98, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.81/1.42 center [99, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.81/1.42 x [100, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.81/1.42 times [101, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.81/1.42 sqrt [102, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.81/1.42 divide [103, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.81/1.42 pv71 [104, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.81/1.42 alpha1 [107, 2] (w:1, o:137, a:1, s:1, b:1),
% 0.81/1.42 alpha2 [108, 2] (w:1, o:142, a:1, s:1, b:1),
% 0.81/1.42 alpha3 [109, 2] (w:1, o:147, a:1, s:1, b:1),
% 0.81/1.42 alpha4 [110, 2] (w:1, o:148, a:1, s:1, b:1),
% 0.81/1.42 alpha5 [111, 2] (w:1, o:149, a:1, s:1, b:1),
% 0.81/1.42 alpha6 [112, 2] (w:1, o:150, a:1, s:1, b:1),
% 13.25/13.68 alpha7 [113, 2] (w:1, o:151, a:1, s:1, b:1),
% 13.25/13.68 alpha8 [114, 1] (w:1, o:73, a:1, s:1, b:1),
% 13.25/13.68 alpha9 [115, 2] (w:1, o:152, a:1, s:1, b:1),
% 13.25/13.68 alpha10 [116, 0] (w:1, o:57, a:1, s:1, b:1),
% 13.25/13.68 alpha11 [117, 3] (w:1, o:158, a:1, s:1, b:1),
% 13.25/13.68 alpha12 [118, 3] (w:1, o:159, a:1, s:1, b:1),
% 13.25/13.68 alpha13 [119, 3] (w:1, o:160, a:1, s:1, b:1),
% 13.25/13.68 alpha14 [120, 2] (w:1, o:138, a:1, s:1, b:1),
% 13.25/13.68 alpha15 [121, 2] (w:1, o:139, a:1, s:1, b:1),
% 13.25/13.68 alpha16 [122, 2] (w:1, o:140, a:1, s:1, b:1),
% 13.25/13.68 alpha17 [123, 2] (w:1, o:141, a:1, s:1, b:1),
% 13.25/13.68 alpha18 [124, 3] (w:1, o:161, a:1, s:1, b:1),
% 13.25/13.68 alpha19 [125, 3] (w:1, o:162, a:1, s:1, b:1),
% 13.25/13.68 alpha20 [126, 2] (w:1, o:143, a:1, s:1, b:1),
% 13.25/13.68 alpha21 [127, 2] (w:1, o:144, a:1, s:1, b:1),
% 13.25/13.68 alpha22 [128, 3] (w:1, o:163, a:1, s:1, b:1),
% 13.25/13.68 alpha23 [129, 0] (w:1, o:58, a:1, s:1, b:1),
% 13.25/13.68 alpha24 [130, 3] (w:1, o:164, a:1, s:1, b:1),
% 13.25/13.68 alpha25 [131, 3] (w:1, o:165, a:1, s:1, b:1),
% 13.25/13.68 alpha26 [132, 3] (w:1, o:166, a:1, s:1, b:1),
% 13.25/13.68 alpha27 [133, 3] (w:1, o:167, a:1, s:1, b:1),
% 13.25/13.68 alpha28 [134, 2] (w:1, o:145, a:1, s:1, b:1),
% 13.25/13.68 alpha29 [135, 2] (w:1, o:146, a:1, s:1, b:1),
% 13.25/13.68 alpha30 [136, 3] (w:1, o:168, a:1, s:1, b:1),
% 13.25/13.68 alpha31 [137, 0] (w:1, o:59, a:1, s:1, b:1),
% 13.25/13.68 alpha32 [138, 0] (w:1, o:60, a:1, s:1, b:1),
% 13.25/13.68 alpha33 [139, 3] (w:1, o:169, a:1, s:1, b:1),
% 13.25/13.68 alpha34 [140, 3] (w:1, o:170, a:1, s:1, b:1),
% 13.25/13.68 alpha35 [141, 0] (w:1, o:61, a:1, s:1, b:1),
% 13.25/13.68 skol1 [142, 2] (w:1, o:102, a:1, s:1, b:1),
% 13.25/13.68 skol2 [143, 2] (w:1, o:109, a:1, s:1, b:1),
% 13.25/13.68 skol3 [144, 2] (w:1, o:119, a:1, s:1, b:1),
% 13.25/13.68 skol4 [145, 2] (w:1, o:120, a:1, s:1, b:1),
% 13.25/13.68 skol5 [146, 2] (w:1, o:121, a:1, s:1, b:1),
% 13.25/13.68 skol6 [147, 2] (w:1, o:122, a:1, s:1, b:1),
% 13.25/13.68 skol7 [148, 2] (w:1, o:123, a:1, s:1, b:1),
% 13.25/13.68 skol8 [149, 2] (w:1, o:124, a:1, s:1, b:1),
% 13.25/13.68 skol9 [150, 2] (w:1, o:125, a:1, s:1, b:1),
% 13.25/13.68 skol10 [151, 2] (w:1, o:103, a:1, s:1, b:1),
% 13.25/13.68 skol11 [152, 2] (w:1, o:104, a:1, s:1, b:1),
% 13.25/13.68 skol12 [153, 2] (w:1, o:105, a:1, s:1, b:1),
% 13.25/13.68 skol13 [154, 4] (w:1, o:171, a:1, s:1, b:1),
% 13.25/13.68 skol14 [155, 3] (w:1, o:154, a:1, s:1, b:1),
% 13.25/13.68 skol15 [156, 0] (w:1, o:34, a:1, s:1, b:1),
% 13.25/13.68 skol16 [157, 0] (w:1, o:35, a:1, s:1, b:1),
% 13.25/13.68 skol17 [158, 2] (w:1, o:106, a:1, s:1, b:1),
% 13.25/13.68 skol18 [159, 2] (w:1, o:107, a:1, s:1, b:1),
% 13.25/13.68 skol19 [160, 2] (w:1, o:108, a:1, s:1, b:1),
% 13.25/13.68 skol20 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 13.25/13.68 skol21 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 13.25/13.68 skol22 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 13.25/13.68 skol23 [164, 2] (w:1, o:113, a:1, s:1, b:1),
% 13.25/13.68 skol24 [165, 2] (w:1, o:114, a:1, s:1, b:1),
% 13.25/13.68 skol25 [166, 2] (w:1, o:115, a:1, s:1, b:1),
% 13.25/13.68 skol26 [167, 2] (w:1, o:116, a:1, s:1, b:1),
% 13.25/13.68 skol27 [168, 2] (w:1, o:117, a:1, s:1, b:1),
% 13.25/13.68 skol28 [169, 2] (w:1, o:118, a:1, s:1, b:1),
% 13.25/13.68 skol29 [170, 4] (w:1, o:172, a:1, s:1, b:1),
% 13.25/13.68 skol30 [171, 0] (w:1, o:36, a:1, s:1, b:1),
% 13.25/13.68 skol31 [172, 0] (w:1, o:37, a:1, s:1, b:1),
% 13.25/13.68 skol32 [173, 1] (w:1, o:70, a:1, s:1, b:1).
% 13.25/13.68
% 13.25/13.68
% 13.25/13.68 Starting Search:
% 13.25/13.68
% 13.25/13.68 *** allocated 22500 integers for clauses
% 13.25/13.68 *** allocated 33750 integers for clauses
% 13.25/13.68 *** allocated 22500 integers for termspace/termends
% 13.25/13.68 *** allocated 50625 integers for clauses
% 13.25/13.68 *** allocated 75937 integers for clauses
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 33750 integers for termspace/termends
% 13.25/13.68 *** allocated 113905 integers for clauses
% 13.25/13.68 *** allocated 50625 integers for termspace/termends
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 7919
% 13.25/13.68 Kept: 2007
% 13.25/13.68 Inuse: 177
% 13.25/13.68 Deleted: 0
% 13.25/13.68 Deletedinuse: 0
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 170857 integers for clauses
% 13.25/13.68 *** allocated 75937 integers for termspace/termends
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 113905 integers for termspace/termends
% 13.25/13.68 *** allocated 256285 integers for clauses
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 16169
% 13.25/13.68 Kept: 4079
% 13.25/13.68 Inuse: 331
% 13.25/13.68 Deleted: 0
% 13.25/13.68 Deletedinuse: 0
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 170857 integers for termspace/termends
% 13.25/13.68 *** allocated 384427 integers for clauses
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 23358
% 13.25/13.68 Kept: 6102
% 13.25/13.68 Inuse: 461
% 13.25/13.68 Deleted: 0
% 13.25/13.68 Deletedinuse: 0
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 256285 integers for termspace/termends
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 31295
% 13.25/13.68 Kept: 8102
% 13.25/13.68 Inuse: 554
% 13.25/13.68 Deleted: 0
% 13.25/13.68 Deletedinuse: 0
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 576640 integers for clauses
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 36160
% 13.25/13.68 Kept: 10143
% 13.25/13.68 Inuse: 661
% 13.25/13.68 Deleted: 0
% 13.25/13.68 Deletedinuse: 0
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 384427 integers for termspace/termends
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 44296
% 13.25/13.68 Kept: 12185
% 13.25/13.68 Inuse: 795
% 13.25/13.68 Deleted: 13
% 13.25/13.68 Deletedinuse: 12
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 864960 integers for clauses
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 576640 integers for termspace/termends
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 79446
% 13.25/13.68 Kept: 14895
% 13.25/13.68 Inuse: 886
% 13.25/13.68 Deleted: 17
% 13.25/13.68 Deletedinuse: 12
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 139212
% 13.25/13.68 Kept: 17035
% 13.25/13.68 Inuse: 901
% 13.25/13.68 Deleted: 62
% 13.25/13.68 Deletedinuse: 57
% 13.25/13.68
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 *** allocated 864960 integers for termspace/termends
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68
% 13.25/13.68 Intermediate Status:
% 13.25/13.68 Generated: 175623
% 13.25/13.68 Kept: 19039
% 13.25/13.68 Inuse: 931
% 13.25/13.68 Deleted: 62
% 13.25/13.68 Deletedinuse: 57
% 13.25/13.68
% 13.25/13.68 *** allocated 1297440 integers for clauses
% 13.25/13.68 Resimplifying inuse:
% 13.25/13.68 Done
% 13.25/13.68
% 13.25/13.68 Resimplifying clauses:
% 13.25/13.68
% 13.25/13.68 Bliksems!, er is een bewijs:
% 13.25/13.68 % SZS status Theorem
% 13.25/13.68 % SZS output start Refutation
% 13.25/13.68
% 13.25/13.68 (133) {G0,W6,D3,L1,V1,M1} I { sum( n0, tptp_minus_1, X ) ==> n0 }.
% 13.25/13.68 (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 13.25/13.68 (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.25/13.68 (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 13.25/13.68 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 13.25/13.68 (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv12 ) }.
% 13.25/13.68 (173) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 ) ) }.
% 13.25/13.68 (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv12, pred( n5 ) ) }.
% 13.25/13.68 (175) {G1,W53,D8,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), ! leq( X, pred
% 13.25/13.68 ( pv12 ) ), divide( sqrt( times( minus( a_select3( center, X, n0 ),
% 13.25/13.68 a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x,
% 13.25/13.68 pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt( times( minus( a_select3( center
% 13.25/13.68 , Y, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, Y, n0 ),
% 13.25/13.68 a_select2( x, pv10 ) ) ) ) ) ) ==> a_select3( q, pv10, X ) }.
% 13.25/13.68 (176) {G1,W17,D4,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), ! leq( X, pred
% 13.25/13.68 ( pv10 ) ), sum( n0, pred( n5 ), a_select3( q, X, Y ) ) ==> n1 }.
% 13.25/13.68 (177) {G0,W4,D2,L2,V0,M2} I { alpha10, leq( n0, skol15 ) }.
% 13.25/13.68 (178) {G1,W5,D3,L2,V0,M2} I;d(146) { alpha10, leq( skol15, pred( pv10 ) )
% 13.25/13.68 }.
% 13.25/13.68 (179) {G1,W11,D4,L2,V0,M2} I;d(146) { alpha10, ! sum( n0, pred( n5 ),
% 13.25/13.68 a_select3( q, skol15, skol30 ) ) ==> n1 }.
% 13.25/13.68 (180) {G0,W3,D1,L3,V0,M3} I { ! alpha10, alpha23, alpha31 }.
% 13.25/13.68 (183) {G0,W4,D2,L2,V0,M2} I { ! alpha31, leq( n0, skol16 ) }.
% 13.25/13.68 (184) {G1,W5,D3,L2,V0,M2} I;d(146) { ! alpha31, leq( skol16, pred( pv12 ) )
% 13.25/13.68 }.
% 13.25/13.68 (185) {G1,W47,D8,L2,V0,M2} I;d(146) { ! alpha31, ! divide( sqrt( times(
% 13.25/13.68 minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ), minus(
% 13.25/13.68 a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0,
% 13.25/13.68 pred( n5 ), sqrt( times( minus( a_select3( center, skol31, n0 ),
% 13.25/13.68 a_select2( x, pv10 ) ), minus( a_select3( center, skol31, n0 ), a_select2
% 13.25/13.68 ( x, pv10 ) ) ) ) ) ) ==> a_select3( q, pv10, skol16 ) }.
% 13.25/13.68 (186) {G2,W2,D1,L2,V0,M2} I;d(146);r(174) { ! alpha23, alpha32 }.
% 13.25/13.68 (188) {G2,W2,D1,L2,V0,M2} I;d(146);r(173) { ! alpha32, alpha35 }.
% 13.25/13.68 (190) {G1,W28,D7,L3,V0,M3} I;d(146);r(171) { ! alpha35, ! leq( n0, pv12 ),
% 13.25/13.68 ! sum( n0, pred( n0 ), sqrt( times( minus( a_select3( center, pv71, n0 )
% 13.25/13.68 , a_select2( x, pv10 ) ), minus( a_select3( center, pv71, n0 ), a_select2
% 13.25/13.68 ( x, pv10 ) ) ) ) ) ==> n0 }.
% 13.25/13.68 (428) {G3,W2,D1,L2,V0,M2} R(186,188) { ! alpha23, alpha35 }.
% 13.25/13.68 (434) {G4,W3,D1,L3,V0,M3} R(180,428) { ! alpha10, alpha31, alpha35 }.
% 13.25/13.68 (10350) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==> tptp_minus_1 }.
% 13.25/13.68 (13530) {G2,W11,D4,L2,V1,M2} R(176,177);r(178) { sum( n0, pred( n5 ),
% 13.25/13.68 a_select3( q, skol15, X ) ) ==> n1, alpha10 }.
% 13.25/13.68 (13606) {G3,W1,D1,L1,V0,M1} S(179);d(13530);q { alpha10 }.
% 13.25/13.68 (13608) {G5,W2,D1,L2,V0,M2} R(13606,434) { alpha31, alpha35 }.
% 13.25/13.68 (13697) {G2,W5,D3,L2,V0,M2} R(185,175);r(183) { ! alpha31, ! leq( skol16,
% 13.25/13.68 pred( pv12 ) ) }.
% 13.25/13.68 (13702) {G2,W1,D1,L1,V0,M1} S(190);d(10350);d(133);q;r(172) { ! alpha35 }.
% 13.25/13.68 (13703) {G6,W1,D1,L1,V0,M1} R(13702,13608) { alpha31 }.
% 13.25/13.68 (13706) {G7,W4,D3,L1,V0,M1} R(13703,184) { leq( skol16, pred( pv12 ) ) }.
% 13.25/13.68 (20228) {G8,W0,D0,L0,V0,M0} S(13697);r(13703);r(13706) { }.
% 13.25/13.68
% 13.25/13.68
% 13.25/13.68 % SZS output end Refutation
% 13.25/13.68 found a proof!
% 13.25/13.68
% 13.25/13.68
% 13.25/13.68 Unprocessed initial clauses:
% 13.25/13.68
% 13.25/13.68 (20230) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 13.25/13.68 (20231) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 13.25/13.68 (20232) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 13.25/13.68 (20233) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 13.25/13.68 (20234) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 13.25/13.68 }.
% 13.25/13.68 (20235) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 13.25/13.68 (20236) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 13.25/13.68 (20237) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 13.25/13.68 (20238) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 13.25/13.68 (20239) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 13.25/13.68 (20240) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 13.25/13.68 (20241) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 13.25/13.68 (20242) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 13.25/13.68 (20243) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 13.25/13.68 (20244) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 13.25/13.68 (20245) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 13.25/13.68 (20246) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 13.25/13.68 (20247) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 13.25/13.68 , X ) }.
% 13.25/13.68 (20248) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 13.25/13.68 , X ) ) }.
% 13.25/13.68 (20249) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 13.25/13.68 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 13.25/13.68 (20250) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 13.25/13.68 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 13.25/13.68 V0 ), X, T ) = V0 }.
% 13.25/13.68 (20251) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol1( X, Y ), skol17( X, Y ) )
% 13.25/13.68 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.25/13.68 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 13.25/13.68 (20252) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol17( X, Y
% 13.25/13.68 ) ) = a_select3( X, skol17( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 13.25/13.68 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 13.25/13.68 = a_select3( trans( X ), T, Z ) }.
% 13.25/13.68 (20253) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 13.25/13.68 (20254) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.68 (20255) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.68 (20256) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.68 , X ), alpha11( X, Y, Z ) }.
% 13.25/13.68 (20257) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 13.25/13.68 (20258) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 13.25/13.68 (20259) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 13.25/13.68 ) }.
% 13.25/13.68 (20260) {G0,W31,D4,L6,V4,M6} { alpha12( Y, skol2( X, Y ), skol18( X, Y ) )
% 13.25/13.68 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.25/13.68 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 13.25/13.68 (20261) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol18( X, Y
% 13.25/13.68 ) ) = a_select3( X, skol18( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 13.25/13.68 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 13.25/13.68 a_select3( inv( X ), T, Z ) }.
% 13.25/13.68 (20262) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 13.25/13.68 (20263) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.68 (20264) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.68 (20265) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.68 , X ), alpha12( X, Y, Z ) }.
% 13.25/13.68 (20266) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 13.25/13.68 (20267) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 13.25/13.68 (20268) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 13.25/13.68 ) }.
% 13.25/13.68 (20269) {G0,W43,D4,L8,V6,M8} { alpha13( Y, skol3( X, Y ), skol19( X, Y ) )
% 13.25/13.68 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 13.25/13.68 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 13.25/13.68 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 13.25/13.68 (20270) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol19( X, Y
% 13.25/13.68 ) ) = a_select3( X, skol19( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 13.25/13.68 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 13.25/13.68 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 13.25/13.68 ( X, U, U, W ), T, Z ) }.
% 13.25/13.68 (20271) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 13.25/13.68 (20272) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.68 (20273) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.68 (20274) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.68 , X ), alpha13( X, Y, Z ) }.
% 13.25/13.68 (20275) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 13.25/13.68 (20276) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 13.25/13.68 (20277) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 13.25/13.68 ) }.
% 13.25/13.68 (20278) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha24( Z, skol4( Y, Z ),
% 13.25/13.68 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 13.25/13.68 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 13.25/13.68 ), U, T ) }.
% 13.25/13.68 (20279) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 13.25/13.68 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol4( Y, Z ) ), !
% 13.25/13.68 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 13.25/13.68 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 13.25/13.68 (20280) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha14( X, Y ) }.
% 13.25/13.68 (20281) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.68 (20282) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.68 (20283) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.68 , X ), alpha24( X, Y, Z ) }.
% 13.25/13.68 (20284) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 13.25/13.68 (20285) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 13.25/13.68 (20286) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 13.25/13.68 ) }.
% 13.25/13.68 (20287) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha25( Y, skol5( X, Y )
% 13.25/13.68 , skol21( X, Y ) ) }.
% 13.25/13.68 (20288) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 13.25/13.68 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol5( X, Y ) )
% 13.25/13.68 }.
% 13.25/13.68 (20289) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 13.25/13.68 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 13.25/13.68 (20290) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha15( X, Y ) }.
% 13.25/13.68 (20291) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.68 (20292) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.68 (20293) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.68 , X ), alpha25( X, Y, Z ) }.
% 13.25/13.68 (20294) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 13.25/13.68 (20295) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 13.25/13.68 (20296) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 13.25/13.68 ) }.
% 13.25/13.68 (20297) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha26( Z, skol6( Y, Z ),
% 13.25/13.68 skol22( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 13.25/13.68 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 13.25/13.68 ), U, T ) }.
% 13.25/13.68 (20298) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 13.25/13.68 ), skol22( Y, Z ) ) = a_select3( Y, skol22( Y, Z ), skol6( Y, Z ) ), !
% 13.25/13.68 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 13.25/13.68 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 13.25/13.68 (20299) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha16( X, Y ) }.
% 13.25/13.68 (20300) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.68 (20301) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.68 (20302) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.68 , X ), alpha26( X, Y, Z ) }.
% 13.25/13.68 (20303) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 13.25/13.68 (20304) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 13.25/13.68 (20305) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 13.25/13.68 ) }.
% 13.25/13.68 (20306) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha27( Y, skol7( X, Y )
% 13.25/13.68 , skol23( X, Y ) ) }.
% 13.25/13.68 (20307) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 13.25/13.68 , Y ), skol23( X, Y ) ) = a_select3( X, skol23( X, Y ), skol7( X, Y ) )
% 13.25/13.68 }.
% 13.25/13.68 (20308) {G0,W16,D3,L3,V4,M3} { ! alpha27( Y, Z, T ), a_select3( X, Z, T )
% 13.25/13.68 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 13.25/13.68 (20309) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), alpha17( X, Y ) }.
% 13.25/13.68 (20310) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.68 (20311) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.68 (20312) {G0,W13,D2,L4,V3,M4} { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.69 , X ), alpha27( X, Y, Z ) }.
% 13.25/13.69 (20313) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( n0, Y ) }.
% 13.25/13.69 (20314) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( Y, X ) }.
% 13.25/13.69 (20315) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y
% 13.25/13.69 ) }.
% 13.25/13.69 (20316) {G0,W39,D6,L6,V5,M6} { alpha18( Y, skol8( X, Y ), skol24( X, Y ) )
% 13.25/13.69 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.25/13.69 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 13.25/13.69 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 13.25/13.69 (20317) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol24( X, Y
% 13.25/13.69 ) ) = a_select3( X, skol24( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 13.25/13.69 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 13.25/13.69 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 13.25/13.69 ( X, trans( U ) ) ), T, Z ) }.
% 13.25/13.69 (20318) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 13.25/13.69 (20319) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.69 (20320) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.69 (20321) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.69 , X ), alpha18( X, Y, Z ) }.
% 13.25/13.69 (20322) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 13.25/13.69 (20323) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 13.25/13.69 (20324) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 13.25/13.69 ) }.
% 13.25/13.69 (20325) {G0,W39,D6,L6,V6,M6} { alpha19( Y, skol9( X, Y ), skol25( X, Y ) )
% 13.25/13.69 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 13.25/13.69 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 13.25/13.69 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 13.25/13.69 (20326) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol25( X, Y
% 13.25/13.69 ) ) = a_select3( X, skol25( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 13.25/13.69 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 13.25/13.69 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 13.25/13.69 ( X, trans( W ) ) ), T, Z ) }.
% 13.25/13.69 (20327) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 13.25/13.69 (20328) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.69 (20329) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.69 (20330) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.69 , X ), alpha19( X, Y, Z ) }.
% 13.25/13.69 (20331) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 13.25/13.69 (20332) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 13.25/13.69 (20333) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 13.25/13.69 ) }.
% 13.25/13.69 (20334) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), alpha33( T,
% 13.25/13.69 skol10( Z, T ), skol26( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 13.25/13.69 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 13.25/13.69 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 13.25/13.69 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 13.25/13.69 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 13.25/13.69 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 13.25/13.69 ) ), trans( V0 ) ) ) ), W, U ) }.
% 13.25/13.69 (20335) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), ! a_select3
% 13.25/13.69 ( Z, skol10( Z, T ), skol26( Z, T ) ) = a_select3( Z, skol26( Z, T ),
% 13.25/13.69 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 13.25/13.69 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 13.25/13.69 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 13.25/13.69 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 13.25/13.69 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 13.25/13.69 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 13.25/13.69 ) ), W, U ) }.
% 13.25/13.69 (20336) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), alpha28( X, Y ) }.
% 13.25/13.69 (20337) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.69 (20338) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.69 (20339) {G0,W13,D2,L4,V3,M4} { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.69 , X ), alpha33( X, Y, Z ) }.
% 13.25/13.69 (20340) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( n0, Y ) }.
% 13.25/13.69 (20341) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( Y, X ) }.
% 13.25/13.69 (20342) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y
% 13.25/13.69 ) }.
% 13.25/13.69 (20343) {G0,W11,D3,L2,V2,M2} { ! alpha20( X, Y ), alpha34( Y, skol11( X, Y
% 13.25/13.69 ), skol27( X, Y ) ) }.
% 13.25/13.69 (20344) {G0,W20,D4,L2,V2,M2} { ! alpha20( X, Y ), ! a_select3( X, skol11(
% 13.25/13.69 X, Y ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol11( X, Y ) )
% 13.25/13.69 }.
% 13.25/13.69 (20345) {G0,W16,D3,L3,V4,M3} { ! alpha34( Y, Z, T ), a_select3( X, Z, T )
% 13.25/13.69 = a_select3( X, T, Z ), alpha20( X, Y ) }.
% 13.25/13.69 (20346) {G0,W7,D2,L2,V3,M2} { ! alpha34( X, Y, Z ), alpha29( X, Y ) }.
% 13.25/13.69 (20347) {G0,W7,D2,L2,V3,M2} { ! alpha34( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.69 (20348) {G0,W7,D2,L2,V3,M2} { ! alpha34( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.69 (20349) {G0,W13,D2,L4,V3,M4} { ! alpha29( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.69 , X ), alpha34( X, Y, Z ) }.
% 13.25/13.69 (20350) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), leq( n0, Y ) }.
% 13.25/13.69 (20351) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), leq( Y, X ) }.
% 13.25/13.69 (20352) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha29( X, Y
% 13.25/13.69 ) }.
% 13.25/13.69 (20353) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha30( Y, skol12( X, Y ),
% 13.25/13.69 skol28( X, Y ) ) }.
% 13.25/13.69 (20354) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 13.25/13.69 ), skol28( X, Y ) ) = a_select3( X, skol28( X, Y ), skol12( X, Y ) ) }.
% 13.25/13.69 (20355) {G0,W16,D3,L3,V3,M3} { ! alpha30( skol32( X ), Y, Z ), a_select3(
% 13.25/13.69 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 13.25/13.69 (20356) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha21( X, Y ) }.
% 13.25/13.69 (20357) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 13.25/13.69 (20358) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 13.25/13.69 (20359) {G0,W13,D2,L4,V3,M4} { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.25/13.69 , X ), alpha30( X, Y, Z ) }.
% 13.25/13.69 (20360) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( n0, Y ) }.
% 13.25/13.69 (20361) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( Y, X ) }.
% 13.25/13.69 (20362) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y
% 13.25/13.69 ) }.
% 13.25/13.69 (20363) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 13.25/13.69 (20364) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 13.25/13.69 }.
% 13.25/13.69 (20365) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 13.25/13.69 (20366) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 13.25/13.69 (20367) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 13.25/13.69 (20368) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 13.25/13.69 (20369) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 13.25/13.69 (20370) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 13.25/13.69 }.
% 13.25/13.69 (20371) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 13.25/13.69 }.
% 13.25/13.69 (20372) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 13.25/13.69 ) ) ) }.
% 13.25/13.69 (20373) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 13.25/13.69 ) ) ) }.
% 13.25/13.69 (20374) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 13.25/13.69 succ( X ) ) ) ) ) }.
% 13.25/13.69 (20375) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 13.25/13.69 succ( X ) ) ) ) ) }.
% 13.25/13.69 (20376) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 13.25/13.69 (20377) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 13.25/13.69 (20378) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 13.25/13.69 (20379) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 13.25/13.69 }.
% 13.25/13.69 (20380) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 13.25/13.69 }.
% 13.25/13.69 (20381) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 13.25/13.69 (20382) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 13.25/13.69 (20383) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 13.25/13.69 ) = T }.
% 13.25/13.69 (20384) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 13.25/13.69 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 13.25/13.69 (20385) {G0,W29,D4,L6,V9,M6} { leq( skol29( V0, T, V1, V2 ), T ), ! leq(
% 13.25/13.69 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 13.25/13.69 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.25/13.69 (20386) {G0,W34,D4,L6,V6,M6} { alpha22( Z, skol13( Z, T, U, W ), skol29( Z
% 13.25/13.69 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 13.25/13.69 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.25/13.69 (20387) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 13.25/13.69 skol29( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 13.25/13.69 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.25/13.69 (20388) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 13.25/13.69 (20389) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 13.25/13.69 (20390) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X
% 13.25/13.69 , Y, Z ) }.
% 13.25/13.69 (20391) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 13.25/13.69 (20392) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 13.25/13.69 (20393) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 13.25/13.69 ) }.
% 13.25/13.69 (20394) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 13.25/13.69 }.
% 13.25/13.69 (20395) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 13.25/13.69 tptp_update2( Z, X, U ), Y ) = T }.
% 13.25/13.69 (20396) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 13.25/13.69 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 13.25/13.69 (20397) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 13.25/13.69 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 13.25/13.69 (20398) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 13.25/13.69 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 13.25/13.69 }.
% 13.25/13.69 (20399) {G0,W1,D1,L1,V0,M1} { true }.
% 13.25/13.69 (20400) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 13.25/13.69 (20401) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 13.25/13.69 (20402) {G0,W3,D2,L1,V0,M1} { leq( n0, pv12 ) }.
% 13.25/13.69 (20403) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1 ) ) }.
% 13.25/13.69 (20404) {G0,W5,D3,L1,V0,M1} { leq( pv12, minus( n5, n1 ) ) }.
% 13.25/13.69 (20405) {G0,W55,D8,L3,V2,M3} { ! leq( n0, X ), ! leq( X, minus( pv12, n1 )
% 13.25/13.69 ), a_select3( q, pv10, X ) = divide( sqrt( times( minus( a_select3(
% 13.25/13.69 center, X, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0
% 13.25/13.69 ), a_select2( x, pv10 ) ) ) ), sum( n0, minus( n5, n1 ), sqrt( times(
% 13.25/13.69 minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus(
% 13.25/13.69 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ) }.
% 13.25/13.69 (20406) {G0,W19,D4,L3,V2,M3} { ! leq( n0, X ), ! leq( X, minus( pv10, n1 )
% 13.25/13.69 ), sum( n0, minus( n5, n1 ), a_select3( q, X, Y ) ) = n1 }.
% 13.25/13.69 (20407) {G0,W4,D2,L2,V0,M2} { alpha10, leq( n0, skol15 ) }.
% 13.25/13.69 (20408) {G0,W6,D3,L2,V0,M2} { alpha10, leq( skol15, minus( pv10, n1 ) )
% 13.25/13.69 }.
% 13.25/13.69 (20409) {G0,W12,D4,L2,V0,M2} { alpha10, ! sum( n0, minus( n5, n1 ),
% 13.25/13.69 a_select3( q, skol15, skol30 ) ) = n1 }.
% 13.25/13.69 (20410) {G0,W3,D1,L3,V0,M3} { ! alpha10, alpha23, alpha31 }.
% 13.25/13.69 (20411) {G0,W2,D1,L2,V0,M2} { ! alpha23, alpha10 }.
% 13.25/13.69 (20412) {G0,W2,D1,L2,V0,M2} { ! alpha31, alpha10 }.
% 13.25/13.69 (20413) {G0,W4,D2,L2,V0,M2} { ! alpha31, leq( n0, skol16 ) }.
% 13.25/13.69 (20414) {G0,W6,D3,L2,V0,M2} { ! alpha31, leq( skol16, minus( pv12, n1 ) )
% 13.25/13.69 }.
% 13.25/13.69 (20415) {G0,W48,D8,L2,V0,M2} { ! alpha31, ! a_select3( q, pv10, skol16 ) =
% 13.25/13.69 divide( sqrt( times( minus( a_select3( center, skol16, n0 ), a_select2(
% 13.25/13.69 x, pv10 ) ), minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 )
% 13.25/13.69 ) ) ), sum( n0, minus( n5, n1 ), sqrt( times( minus( a_select3( center,
% 13.25/13.69 skol31, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, skol31,
% 13.25/13.69 n0 ), a_select2( x, pv10 ) ) ) ) ) ) }.
% 13.25/13.69 (20416) {G0,W56,D8,L4,V2,M4} { ! leq( n0, X ), ! leq( X, minus( pv12, n1 )
% 13.25/13.69 ), a_select3( q, pv10, X ) = divide( sqrt( times( minus( a_select3(
% 13.25/13.69 center, X, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0
% 13.25/13.69 ), a_select2( x, pv10 ) ) ) ), sum( n0, minus( n5, n1 ), sqrt( times(
% 13.25/13.69 minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus(
% 13.25/13.69 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ), alpha31 }.
% 13.25/13.69 (20417) {G0,W7,D3,L3,V0,M3} { ! alpha23, alpha32, ! leq( pv12, minus( n5,
% 13.25/13.69 n1 ) ) }.
% 13.25/13.69 (20418) {G0,W2,D1,L2,V0,M2} { ! alpha32, alpha23 }.
% 13.25/13.69 (20419) {G0,W6,D3,L2,V0,M2} { leq( pv12, minus( n5, n1 ) ), alpha23 }.
% 13.25/13.69 (20420) {G0,W7,D3,L3,V0,M3} { ! alpha32, alpha35, ! leq( pv10, minus(
% 13.25/13.69 n135300, n1 ) ) }.
% 13.25/13.69 (20421) {G0,W2,D1,L2,V0,M2} { ! alpha35, alpha32 }.
% 13.25/13.69 (20422) {G0,W6,D3,L2,V0,M2} { leq( pv10, minus( n135300, n1 ) ), alpha32
% 13.25/13.69 }.
% 13.25/13.69 (20423) {G0,W32,D7,L4,V0,M4} { ! alpha35, ! n0 = sum( n0, minus( n0, n1 )
% 13.25/13.69 , sqrt( times( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 )
% 13.25/13.69 ), minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ), !
% 13.25/13.69 leq( n0, pv10 ), ! leq( n0, pv12 ) }.
% 13.25/13.69 (20424) {G0,W26,D7,L2,V0,M2} { n0 = sum( n0, minus( n0, n1 ), sqrt( times
% 13.25/13.69 ( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ), minus(
% 13.25/13.69 a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ), alpha35 }.
% 13.25/13.69 (20425) {G0,W4,D2,L2,V0,M2} { leq( n0, pv10 ), alpha35 }.
% 13.25/13.69 (20426) {G0,W4,D2,L2,V0,M2} { leq( n0, pv12 ), alpha35 }.
% 13.25/13.69 (20427) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 13.25/13.69 (20428) {G0,W3,D2,L1,V0,M1} { gt( n135300, n4 ) }.
% 13.25/13.69 (20429) {G0,W3,D2,L1,V0,M1} { gt( n135300, n5 ) }.
% 13.25/13.69 (20430) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 13.25/13.69 (20431) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 13.25/13.69 (20432) {G0,W3,D2,L1,V0,M1} { gt( n135300, tptp_minus_1 ) }.
% 13.25/13.69 (20433) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 13.25/13.69 (20434) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 13.25/13.69 (20435) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 13.25/13.69 (20436) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 13.25/13.69 (20437) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 13.25/13.69 (20438) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 13.25/13.69 (20439) {G0,W3,D2,L1,V0,M1} { gt( n135300, n0 ) }.
% 13.25/13.69 (20440) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 13.25/13.69 (20441) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 13.25/13.69 (20442) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 13.25/13.69 (20443) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 13.25/13.69 (20444) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 13.25/13.69 (20445) {G0,W3,D2,L1,V0,M1} { gt( n135300, n1 ) }.
% 13.25/13.69 (20446) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 13.25/13.69 (20447) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 13.25/13.69 (20448) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 13.25/13.69 (20449) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 13.25/13.69 (20450) {G0,W3,D2,L1,V0,M1} { gt( n135300, n2 ) }.
% 13.25/13.69 (20451) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 13.25/13.69 (20452) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 13.25/13.69 (20453) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 13.25/13.69 (20454) {G0,W3,D2,L1,V0,M1} { gt( n135300, n3 ) }.
% 13.25/13.69 (20455) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 13.25/13.69 n1, X = n2, X = n3, X = n4 }.
% 13.25/13.69 (20456) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 13.25/13.69 n1, X = n2, X = n3, X = n4, X = n5 }.
% 13.25/13.69 (20457) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 13.25/13.69 (20458) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 13.25/13.69 n1 }.
% 13.25/13.69 (20459) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 13.25/13.69 n1, X = n2 }.
% 13.25/13.69 (20460) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 13.25/13.69 n1, X = n2, X = n3 }.
% 13.25/13.69 (20461) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 13.25/13.69 (20462) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 13.25/13.69 n5 }.
% 13.25/13.69 (20463) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 13.25/13.69 (20464) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 13.25/13.69 (20465) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 13.25/13.69
% 13.25/13.69
% 13.25/13.69 Total Proof:
% 13.25/13.69
% 13.25/13.69 subsumption: (133) {G0,W6,D3,L1,V1,M1} I { sum( n0, tptp_minus_1, X ) ==>
% 13.25/13.69 n0 }.
% 13.25/13.69 parent0: (20363) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 13.25/13.69 substitution0:
% 13.25/13.69 X := X
% 13.25/13.69 end
% 13.25/13.69 permutation0:
% 13.25/13.69 0 ==> 0
% 13.25/13.69 end
% 13.33/13.72
% 13.33/13.72 subsumption: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 13.33/13.72 parent0: (20365) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 13.33/13.72 substitution0:
% 13.33/13.72 end
% 13.33/13.72 permutation0:
% 13.33/13.72 0 ==> 0
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.72 parent0: (20376) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 X := X
% 13.33/13.72 end
% 13.33/13.72 permutation0:
% 13.33/13.72 0 ==> 0
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 subsumption: (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 13.33/13.72 parent0: (20377) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 13.33/13.72 substitution0:
% 13.33/13.72 X := X
% 13.33/13.72 end
% 13.33/13.72 permutation0:
% 13.33/13.72 0 ==> 0
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 13.33/13.72 parent0: (20401) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 end
% 13.33/13.72 permutation0:
% 13.33/13.72 0 ==> 0
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv12 ) }.
% 13.33/13.72 parent0: (20402) {G0,W3,D2,L1,V0,M1} { leq( n0, pv12 ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 end
% 13.33/13.72 permutation0:
% 13.33/13.72 0 ==> 0
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 paramod: (23772) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 13.33/13.72 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.72 parent1[0; 2]: (20403) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1
% 13.33/13.72 ) ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 X := n135300
% 13.33/13.72 end
% 13.33/13.72 substitution1:
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 subsumption: (173) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300
% 13.33/13.72 ) ) }.
% 13.33/13.72 parent0: (23772) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 end
% 13.33/13.72 permutation0:
% 13.33/13.72 0 ==> 0
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 paramod: (24478) {G1,W4,D3,L1,V0,M1} { leq( pv12, pred( n5 ) ) }.
% 13.33/13.72 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.72 parent1[0; 2]: (20404) {G0,W5,D3,L1,V0,M1} { leq( pv12, minus( n5, n1 ) )
% 13.33/13.72 }.
% 13.33/13.72 substitution0:
% 13.33/13.72 X := n5
% 13.33/13.72 end
% 13.33/13.72 substitution1:
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 subsumption: (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv12, pred( n5 ) )
% 13.33/13.72 }.
% 13.33/13.72 parent0: (24478) {G1,W4,D3,L1,V0,M1} { leq( pv12, pred( n5 ) ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 end
% 13.33/13.72 permutation0:
% 13.33/13.72 0 ==> 0
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 paramod: (25364) {G1,W54,D8,L3,V2,M3} { a_select3( q, pv10, X ) = divide(
% 13.33/13.72 sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ),
% 13.33/13.72 minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0,
% 13.33/13.72 pred( n5 ), sqrt( times( minus( a_select3( center, Y, n0 ), a_select2( x
% 13.33/13.72 , pv10 ) ), minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ) ) )
% 13.33/13.72 ) ), ! leq( n0, X ), ! leq( X, minus( pv12, n1 ) ) }.
% 13.33/13.72 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.72 parent1[2; 26]: (20405) {G0,W55,D8,L3,V2,M3} { ! leq( n0, X ), ! leq( X,
% 13.33/13.72 minus( pv12, n1 ) ), a_select3( q, pv10, X ) = divide( sqrt( times( minus
% 13.33/13.72 ( a_select3( center, X, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 13.33/13.72 center, X, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0, minus( n5, n1 ),
% 13.33/13.72 sqrt( times( minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ),
% 13.33/13.72 minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 X := n5
% 13.33/13.72 end
% 13.33/13.72 substitution1:
% 13.33/13.72 X := X
% 13.33/13.72 Y := Y
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 paramod: (25366) {G1,W53,D8,L3,V2,M3} { ! leq( X, pred( pv12 ) ),
% 13.33/13.72 a_select3( q, pv10, X ) = divide( sqrt( times( minus( a_select3( center,
% 13.33/13.72 X, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ),
% 13.33/13.72 a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt( times( minus(
% 13.33/13.72 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 13.33/13.72 center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ), ! leq( n0, X ) }.
% 13.33/13.72 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.72 parent1[2; 3]: (25364) {G1,W54,D8,L3,V2,M3} { a_select3( q, pv10, X ) =
% 13.33/13.72 divide( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x,
% 13.33/13.72 pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ),
% 13.33/13.72 sum( n0, pred( n5 ), sqrt( times( minus( a_select3( center, Y, n0 ),
% 13.33/13.72 a_select2( x, pv10 ) ), minus( a_select3( center, Y, n0 ), a_select2( x,
% 13.33/13.72 pv10 ) ) ) ) ) ), ! leq( n0, X ), ! leq( X, minus( pv12, n1 ) ) }.
% 13.33/13.72 substitution0:
% 13.33/13.72 X := pv12
% 13.33/13.72 end
% 13.33/13.72 substitution1:
% 13.33/13.72 X := X
% 13.33/13.72 Y := Y
% 13.33/13.72 end
% 13.33/13.72
% 13.33/13.72 eqswap: (25367) {G1,W53,D8,L3,V2,M3} { divide( sqrt( times( minus(
% 13.33/13.72 a_select3( center, X, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 13.33/13.72 center, X, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt(
% 13.33/13.74 times( minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus(
% 13.33/13.74 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ) = a_select3( q
% 13.33/13.74 , pv10, X ), ! leq( X, pred( pv12 ) ), ! leq( n0, X ) }.
% 13.33/13.74 parent0[1]: (25366) {G1,W53,D8,L3,V2,M3} { ! leq( X, pred( pv12 ) ),
% 13.33/13.74 a_select3( q, pv10, X ) = divide( sqrt( times( minus( a_select3( center,
% 13.33/13.74 X, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ),
% 13.33/13.74 a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt( times( minus(
% 13.33/13.74 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 13.33/13.74 center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ), ! leq( n0, X ) }.
% 13.33/13.74 substitution0:
% 13.33/13.74 X := X
% 13.33/13.74 Y := Y
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 subsumption: (175) {G1,W53,D8,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), !
% 13.33/13.74 leq( X, pred( pv12 ) ), divide( sqrt( times( minus( a_select3( center, X
% 13.33/13.74 , n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ),
% 13.33/13.74 a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt( times( minus(
% 13.33/13.74 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 13.33/13.74 center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ) ==> a_select3( q, pv10, X
% 13.33/13.74 ) }.
% 13.33/13.74 parent0: (25367) {G1,W53,D8,L3,V2,M3} { divide( sqrt( times( minus(
% 13.33/13.74 a_select3( center, X, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 13.33/13.74 center, X, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt(
% 13.33/13.74 times( minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus(
% 13.33/13.74 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ) = a_select3( q
% 13.33/13.74 , pv10, X ), ! leq( X, pred( pv12 ) ), ! leq( n0, X ) }.
% 13.33/13.74 substitution0:
% 13.33/13.74 X := X
% 13.33/13.74 Y := Y
% 13.33/13.74 end
% 13.33/13.74 permutation0:
% 13.33/13.74 0 ==> 2
% 13.33/13.74 1 ==> 1
% 13.33/13.74 2 ==> 0
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 paramod: (26270) {G1,W18,D4,L3,V2,M3} { sum( n0, pred( n5 ), a_select3( q
% 13.33/13.74 , X, Y ) ) = n1, ! leq( n0, X ), ! leq( X, minus( pv10, n1 ) ) }.
% 13.33/13.74 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.74 parent1[2; 3]: (20406) {G0,W19,D4,L3,V2,M3} { ! leq( n0, X ), ! leq( X,
% 13.33/13.74 minus( pv10, n1 ) ), sum( n0, minus( n5, n1 ), a_select3( q, X, Y ) ) =
% 13.33/13.74 n1 }.
% 13.33/13.74 substitution0:
% 13.33/13.74 X := n5
% 13.33/13.74 end
% 13.33/13.74 substitution1:
% 13.33/13.74 X := X
% 13.33/13.74 Y := Y
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 paramod: (26272) {G1,W17,D4,L3,V2,M3} { ! leq( X, pred( pv10 ) ), sum( n0
% 13.33/13.74 , pred( n5 ), a_select3( q, X, Y ) ) = n1, ! leq( n0, X ) }.
% 13.33/13.74 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.74 parent1[2; 3]: (26270) {G1,W18,D4,L3,V2,M3} { sum( n0, pred( n5 ),
% 13.33/13.74 a_select3( q, X, Y ) ) = n1, ! leq( n0, X ), ! leq( X, minus( pv10, n1 )
% 13.33/13.74 ) }.
% 13.33/13.74 substitution0:
% 13.33/13.74 X := pv10
% 13.33/13.74 end
% 13.33/13.74 substitution1:
% 13.33/13.74 X := X
% 13.33/13.74 Y := Y
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 subsumption: (176) {G1,W17,D4,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), !
% 13.33/13.74 leq( X, pred( pv10 ) ), sum( n0, pred( n5 ), a_select3( q, X, Y ) ) ==>
% 13.33/13.74 n1 }.
% 13.33/13.74 parent0: (26272) {G1,W17,D4,L3,V2,M3} { ! leq( X, pred( pv10 ) ), sum( n0
% 13.33/13.74 , pred( n5 ), a_select3( q, X, Y ) ) = n1, ! leq( n0, X ) }.
% 13.33/13.74 substitution0:
% 13.33/13.74 X := X
% 13.33/13.74 Y := Y
% 13.33/13.74 end
% 13.33/13.74 permutation0:
% 13.33/13.74 0 ==> 1
% 13.33/13.74 1 ==> 2
% 13.33/13.74 2 ==> 0
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 subsumption: (177) {G0,W4,D2,L2,V0,M2} I { alpha10, leq( n0, skol15 ) }.
% 13.33/13.74 parent0: (20407) {G0,W4,D2,L2,V0,M2} { alpha10, leq( n0, skol15 ) }.
% 13.33/13.74 substitution0:
% 13.33/13.74 end
% 13.33/13.74 permutation0:
% 13.33/13.74 0 ==> 0
% 13.33/13.74 1 ==> 1
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 paramod: (27539) {G1,W5,D3,L2,V0,M2} { leq( skol15, pred( pv10 ) ),
% 13.33/13.74 alpha10 }.
% 13.33/13.74 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.74 parent1[1; 2]: (20408) {G0,W6,D3,L2,V0,M2} { alpha10, leq( skol15, minus(
% 13.33/13.74 pv10, n1 ) ) }.
% 13.33/13.74 substitution0:
% 13.33/13.74 X := pv10
% 13.33/13.74 end
% 13.33/13.74 substitution1:
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 subsumption: (178) {G1,W5,D3,L2,V0,M2} I;d(146) { alpha10, leq( skol15,
% 13.33/13.74 pred( pv10 ) ) }.
% 13.33/13.74 parent0: (27539) {G1,W5,D3,L2,V0,M2} { leq( skol15, pred( pv10 ) ),
% 13.33/13.74 alpha10 }.
% 13.33/13.74 substitution0:
% 13.33/13.74 end
% 13.33/13.74 permutation0:
% 13.33/13.74 0 ==> 1
% 13.33/13.74 1 ==> 0
% 13.33/13.74 end
% 13.33/13.74
% 13.33/13.74 *** allocated 1297440 integers for termspace/termends
% 13.33/13.74 paramod: (28279) {G1,W11,D4,L2,V0,M2} { ! sum( n0, pred( n5 ), a_select3(
% 13.33/13.74 q, skol15, skol30 ) ) = n1, alpha10 }.
% 13.33/13.74 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.74 parent1[1; 4]: (20409) {G0,W12,D4,L2,V0,M2} { alpha10, ! sum( n0, minus(
% 13.33/13.74 n5, n1 ), a_select3( q, skol15, skol30 ) ) = n1 }.
% 13.33/13.74 substitution0:
% 13.33/13.76 X := n5
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (179) {G1,W11,D4,L2,V0,M2} I;d(146) { alpha10, ! sum( n0, pred
% 13.33/13.76 ( n5 ), a_select3( q, skol15, skol30 ) ) ==> n1 }.
% 13.33/13.76 parent0: (28279) {G1,W11,D4,L2,V0,M2} { ! sum( n0, pred( n5 ), a_select3(
% 13.33/13.76 q, skol15, skol30 ) ) = n1, alpha10 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 1
% 13.33/13.76 1 ==> 0
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (180) {G0,W3,D1,L3,V0,M3} I { ! alpha10, alpha23, alpha31 }.
% 13.33/13.76 parent0: (20410) {G0,W3,D1,L3,V0,M3} { ! alpha10, alpha23, alpha31 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 0
% 13.33/13.76 1 ==> 1
% 13.33/13.76 2 ==> 2
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (183) {G0,W4,D2,L2,V0,M2} I { ! alpha31, leq( n0, skol16 ) }.
% 13.33/13.76 parent0: (20413) {G0,W4,D2,L2,V0,M2} { ! alpha31, leq( n0, skol16 ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 0
% 13.33/13.76 1 ==> 1
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 paramod: (30089) {G1,W5,D3,L2,V0,M2} { leq( skol16, pred( pv12 ) ), !
% 13.33/13.76 alpha31 }.
% 13.33/13.76 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.76 parent1[1; 2]: (20414) {G0,W6,D3,L2,V0,M2} { ! alpha31, leq( skol16, minus
% 13.33/13.76 ( pv12, n1 ) ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 X := pv12
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (184) {G1,W5,D3,L2,V0,M2} I;d(146) { ! alpha31, leq( skol16,
% 13.33/13.76 pred( pv12 ) ) }.
% 13.33/13.76 parent0: (30089) {G1,W5,D3,L2,V0,M2} { leq( skol16, pred( pv12 ) ), !
% 13.33/13.76 alpha31 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 1
% 13.33/13.76 1 ==> 0
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 paramod: (30841) {G1,W47,D8,L2,V0,M2} { ! a_select3( q, pv10, skol16 ) =
% 13.33/13.76 divide( sqrt( times( minus( a_select3( center, skol16, n0 ), a_select2( x
% 13.33/13.76 , pv10 ) ), minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 )
% 13.33/13.76 ) ) ), sum( n0, pred( n5 ), sqrt( times( minus( a_select3( center,
% 13.33/13.76 skol31, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, skol31,
% 13.33/13.76 n0 ), a_select2( x, pv10 ) ) ) ) ) ), ! alpha31 }.
% 13.33/13.76 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.76 parent1[1; 27]: (20415) {G0,W48,D8,L2,V0,M2} { ! alpha31, ! a_select3( q,
% 13.33/13.76 pv10, skol16 ) = divide( sqrt( times( minus( a_select3( center, skol16,
% 13.33/13.76 n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, skol16, n0 ),
% 13.33/13.76 a_select2( x, pv10 ) ) ) ), sum( n0, minus( n5, n1 ), sqrt( times( minus
% 13.33/13.76 ( a_select3( center, skol31, n0 ), a_select2( x, pv10 ) ), minus(
% 13.33/13.76 a_select3( center, skol31, n0 ), a_select2( x, pv10 ) ) ) ) ) ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 X := n5
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 eqswap: (30842) {G1,W47,D8,L2,V0,M2} { ! divide( sqrt( times( minus(
% 13.33/13.76 a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ), minus( a_select3
% 13.33/13.76 ( center, skol16, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ),
% 13.33/13.76 sqrt( times( minus( a_select3( center, skol31, n0 ), a_select2( x, pv10 )
% 13.33/13.76 ), minus( a_select3( center, skol31, n0 ), a_select2( x, pv10 ) ) ) ) )
% 13.33/13.76 ) = a_select3( q, pv10, skol16 ), ! alpha31 }.
% 13.33/13.76 parent0[0]: (30841) {G1,W47,D8,L2,V0,M2} { ! a_select3( q, pv10, skol16 )
% 13.33/13.76 = divide( sqrt( times( minus( a_select3( center, skol16, n0 ), a_select2
% 13.33/13.76 ( x, pv10 ) ), minus( a_select3( center, skol16, n0 ), a_select2( x, pv10
% 13.33/13.76 ) ) ) ), sum( n0, pred( n5 ), sqrt( times( minus( a_select3( center,
% 13.33/13.76 skol31, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, skol31,
% 13.33/13.76 n0 ), a_select2( x, pv10 ) ) ) ) ) ), ! alpha31 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (185) {G1,W47,D8,L2,V0,M2} I;d(146) { ! alpha31, ! divide(
% 13.33/13.76 sqrt( times( minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 )
% 13.33/13.76 ), minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ) ) ),
% 13.33/13.76 sum( n0, pred( n5 ), sqrt( times( minus( a_select3( center, skol31, n0 )
% 13.33/13.76 , a_select2( x, pv10 ) ), minus( a_select3( center, skol31, n0 ),
% 13.33/13.76 a_select2( x, pv10 ) ) ) ) ) ) ==> a_select3( q, pv10, skol16 ) }.
% 13.33/13.76 parent0: (30842) {G1,W47,D8,L2,V0,M2} { ! divide( sqrt( times( minus(
% 13.33/13.76 a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ), minus( a_select3
% 13.33/13.76 ( center, skol16, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ),
% 13.33/13.76 sqrt( times( minus( a_select3( center, skol31, n0 ), a_select2( x, pv10 )
% 13.33/13.76 ), minus( a_select3( center, skol31, n0 ), a_select2( x, pv10 ) ) ) ) )
% 13.33/13.76 ) = a_select3( q, pv10, skol16 ), ! alpha31 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 1
% 13.33/13.76 1 ==> 0
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 paramod: (31591) {G1,W6,D3,L3,V0,M3} { ! leq( pv12, pred( n5 ) ), !
% 13.33/13.76 alpha23, alpha32 }.
% 13.33/13.76 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.76 parent1[2; 3]: (20417) {G0,W7,D3,L3,V0,M3} { ! alpha23, alpha32, ! leq(
% 13.33/13.76 pv12, minus( n5, n1 ) ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 X := n5
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 resolution: (31592) {G2,W2,D1,L2,V0,M2} { ! alpha23, alpha32 }.
% 13.33/13.76 parent0[0]: (31591) {G1,W6,D3,L3,V0,M3} { ! leq( pv12, pred( n5 ) ), !
% 13.33/13.76 alpha23, alpha32 }.
% 13.33/13.76 parent1[0]: (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv12, pred( n5 ) )
% 13.33/13.76 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (186) {G2,W2,D1,L2,V0,M2} I;d(146);r(174) { ! alpha23, alpha32
% 13.33/13.76 }.
% 13.33/13.76 parent0: (31592) {G2,W2,D1,L2,V0,M2} { ! alpha23, alpha32 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 0
% 13.33/13.76 1 ==> 1
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 paramod: (32346) {G1,W6,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) ), !
% 13.33/13.76 alpha32, alpha35 }.
% 13.33/13.76 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.76 parent1[2; 3]: (20420) {G0,W7,D3,L3,V0,M3} { ! alpha32, alpha35, ! leq(
% 13.33/13.76 pv10, minus( n135300, n1 ) ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 X := n135300
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 resolution: (32347) {G2,W2,D1,L2,V0,M2} { ! alpha32, alpha35 }.
% 13.33/13.76 parent0[0]: (32346) {G1,W6,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) ),
% 13.33/13.76 ! alpha32, alpha35 }.
% 13.33/13.76 parent1[0]: (173) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 )
% 13.33/13.76 ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (188) {G2,W2,D1,L2,V0,M2} I;d(146);r(173) { ! alpha32, alpha35
% 13.33/13.76 }.
% 13.33/13.76 parent0: (32347) {G2,W2,D1,L2,V0,M2} { ! alpha32, alpha35 }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 0
% 13.33/13.76 1 ==> 1
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 paramod: (33107) {G1,W31,D7,L4,V0,M4} { ! n0 = sum( n0, pred( n0 ), sqrt(
% 13.33/13.76 times( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ),
% 13.33/13.76 minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ), !
% 13.33/13.76 alpha35, ! leq( n0, pv10 ), ! leq( n0, pv12 ) }.
% 13.33/13.76 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 13.33/13.76 parent1[1; 5]: (20423) {G0,W32,D7,L4,V0,M4} { ! alpha35, ! n0 = sum( n0,
% 13.33/13.76 minus( n0, n1 ), sqrt( times( minus( a_select3( center, pv71, n0 ),
% 13.33/13.76 a_select2( x, pv10 ) ), minus( a_select3( center, pv71, n0 ), a_select2(
% 13.33/13.76 x, pv10 ) ) ) ) ), ! leq( n0, pv10 ), ! leq( n0, pv12 ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 X := n0
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 resolution: (33108) {G1,W28,D7,L3,V0,M3} { ! n0 = sum( n0, pred( n0 ),
% 13.33/13.76 sqrt( times( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) )
% 13.33/13.76 , minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ), !
% 13.33/13.76 alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.76 parent0[2]: (33107) {G1,W31,D7,L4,V0,M4} { ! n0 = sum( n0, pred( n0 ),
% 13.33/13.76 sqrt( times( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) )
% 13.33/13.76 , minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ), !
% 13.33/13.76 alpha35, ! leq( n0, pv10 ), ! leq( n0, pv12 ) }.
% 13.33/13.76 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 substitution1:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 eqswap: (33109) {G1,W28,D7,L3,V0,M3} { ! sum( n0, pred( n0 ), sqrt( times
% 13.33/13.76 ( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ), minus(
% 13.33/13.76 a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ) = n0, !
% 13.33/13.76 alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.76 parent0[0]: (33108) {G1,W28,D7,L3,V0,M3} { ! n0 = sum( n0, pred( n0 ),
% 13.33/13.76 sqrt( times( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) )
% 13.33/13.76 , minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ), !
% 13.33/13.76 alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 subsumption: (190) {G1,W28,D7,L3,V0,M3} I;d(146);r(171) { ! alpha35, ! leq
% 13.33/13.76 ( n0, pv12 ), ! sum( n0, pred( n0 ), sqrt( times( minus( a_select3(
% 13.33/13.76 center, pv71, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center,
% 13.33/13.76 pv71, n0 ), a_select2( x, pv10 ) ) ) ) ) ==> n0 }.
% 13.33/13.76 parent0: (33109) {G1,W28,D7,L3,V0,M3} { ! sum( n0, pred( n0 ), sqrt( times
% 13.33/13.76 ( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ), minus(
% 13.33/13.76 a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ) = n0, !
% 13.33/13.76 alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.76 substitution0:
% 13.33/13.76 end
% 13.33/13.76 permutation0:
% 13.33/13.76 0 ==> 2
% 13.33/13.76 1 ==> 0
% 13.33/13.76 2 ==> 1
% 13.33/13.76 end
% 13.33/13.76
% 13.33/13.76 resolution: (33110) {G3,W2,D1,L2,V0,M2} { alpha35, ! alpha23 }.
% 13.33/13.77 parent0[0]: (188) {G2,W2,D1,L2,V0,M2} I;d(146);r(173) { ! alpha32, alpha35
% 13.33/13.77 }.
% 13.33/13.77 parent1[1]: (186) {G2,W2,D1,L2,V0,M2} I;d(146);r(174) { ! alpha23, alpha32
% 13.33/13.77 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (428) {G3,W2,D1,L2,V0,M2} R(186,188) { ! alpha23, alpha35 }.
% 13.33/13.77 parent0: (33110) {G3,W2,D1,L2,V0,M2} { alpha35, ! alpha23 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 1
% 13.33/13.77 1 ==> 0
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33111) {G1,W3,D1,L3,V0,M3} { alpha35, ! alpha10, alpha31 }.
% 13.33/13.77 parent0[0]: (428) {G3,W2,D1,L2,V0,M2} R(186,188) { ! alpha23, alpha35 }.
% 13.33/13.77 parent1[1]: (180) {G0,W3,D1,L3,V0,M3} I { ! alpha10, alpha23, alpha31 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (434) {G4,W3,D1,L3,V0,M3} R(180,428) { ! alpha10, alpha31,
% 13.33/13.77 alpha35 }.
% 13.33/13.77 parent0: (33111) {G1,W3,D1,L3,V0,M3} { alpha35, ! alpha10, alpha31 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 2
% 13.33/13.77 1 ==> 0
% 13.33/13.77 2 ==> 1
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqswap: (33113) {G0,W5,D4,L1,V1,M1} { X ==> pred( succ( X ) ) }.
% 13.33/13.77 parent0[0]: (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := X
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 paramod: (33114) {G1,W4,D3,L1,V0,M1} { tptp_minus_1 ==> pred( n0 ) }.
% 13.33/13.77 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 13.33/13.77 parent1[0; 3]: (33113) {G0,W5,D4,L1,V1,M1} { X ==> pred( succ( X ) ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 X := tptp_minus_1
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqswap: (33115) {G1,W4,D3,L1,V0,M1} { pred( n0 ) ==> tptp_minus_1 }.
% 13.33/13.77 parent0[0]: (33114) {G1,W4,D3,L1,V0,M1} { tptp_minus_1 ==> pred( n0 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (10350) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==>
% 13.33/13.77 tptp_minus_1 }.
% 13.33/13.77 parent0: (33115) {G1,W4,D3,L1,V0,M1} { pred( n0 ) ==> tptp_minus_1 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqswap: (33116) {G1,W17,D4,L3,V2,M3} { n1 ==> sum( n0, pred( n5 ),
% 13.33/13.77 a_select3( q, X, Y ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 13.33/13.77 parent0[2]: (176) {G1,W17,D4,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), !
% 13.33/13.77 leq( X, pred( pv10 ) ), sum( n0, pred( n5 ), a_select3( q, X, Y ) ) ==>
% 13.33/13.77 n1 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := X
% 13.33/13.77 Y := Y
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33117) {G1,W15,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 13.33/13.77 a_select3( q, skol15, X ) ), ! leq( skol15, pred( pv10 ) ), alpha10 }.
% 13.33/13.77 parent0[1]: (33116) {G1,W17,D4,L3,V2,M3} { n1 ==> sum( n0, pred( n5 ),
% 13.33/13.77 a_select3( q, X, Y ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 13.33/13.77 parent1[1]: (177) {G0,W4,D2,L2,V0,M2} I { alpha10, leq( n0, skol15 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := skol15
% 13.33/13.77 Y := X
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33118) {G2,W12,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 13.33/13.77 a_select3( q, skol15, X ) ), alpha10, alpha10 }.
% 13.33/13.77 parent0[1]: (33117) {G1,W15,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 13.33/13.77 a_select3( q, skol15, X ) ), ! leq( skol15, pred( pv10 ) ), alpha10 }.
% 13.33/13.77 parent1[1]: (178) {G1,W5,D3,L2,V0,M2} I;d(146) { alpha10, leq( skol15, pred
% 13.33/13.77 ( pv10 ) ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := X
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqswap: (33119) {G2,W12,D4,L3,V1,M3} { sum( n0, pred( n5 ), a_select3( q,
% 13.33/13.77 skol15, X ) ) ==> n1, alpha10, alpha10 }.
% 13.33/13.77 parent0[0]: (33118) {G2,W12,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 13.33/13.77 a_select3( q, skol15, X ) ), alpha10, alpha10 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := X
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 factor: (33120) {G2,W11,D4,L2,V1,M2} { sum( n0, pred( n5 ), a_select3( q,
% 13.33/13.77 skol15, X ) ) ==> n1, alpha10 }.
% 13.33/13.77 parent0[1, 2]: (33119) {G2,W12,D4,L3,V1,M3} { sum( n0, pred( n5 ),
% 13.33/13.77 a_select3( q, skol15, X ) ) ==> n1, alpha10, alpha10 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := X
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (13530) {G2,W11,D4,L2,V1,M2} R(176,177);r(178) { sum( n0, pred
% 13.33/13.77 ( n5 ), a_select3( q, skol15, X ) ) ==> n1, alpha10 }.
% 13.33/13.77 parent0: (33120) {G2,W11,D4,L2,V1,M2} { sum( n0, pred( n5 ), a_select3( q
% 13.33/13.77 , skol15, X ) ) ==> n1, alpha10 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := X
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 1 ==> 1
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 paramod: (33124) {G2,W5,D2,L3,V0,M3} { ! n1 ==> n1, alpha10, alpha10 }.
% 13.33/13.77 parent0[0]: (13530) {G2,W11,D4,L2,V1,M2} R(176,177);r(178) { sum( n0, pred
% 13.33/13.77 ( n5 ), a_select3( q, skol15, X ) ) ==> n1, alpha10 }.
% 13.33/13.77 parent1[1; 2]: (179) {G1,W11,D4,L2,V0,M2} I;d(146) { alpha10, ! sum( n0,
% 13.33/13.77 pred( n5 ), a_select3( q, skol15, skol30 ) ) ==> n1 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := skol30
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 factor: (33125) {G2,W4,D2,L2,V0,M2} { ! n1 ==> n1, alpha10 }.
% 13.33/13.77 parent0[1, 2]: (33124) {G2,W5,D2,L3,V0,M3} { ! n1 ==> n1, alpha10, alpha10
% 13.33/13.77 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqrefl: (33126) {G0,W1,D1,L1,V0,M1} { alpha10 }.
% 13.33/13.77 parent0[0]: (33125) {G2,W4,D2,L2,V0,M2} { ! n1 ==> n1, alpha10 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (13606) {G3,W1,D1,L1,V0,M1} S(179);d(13530);q { alpha10 }.
% 13.33/13.77 parent0: (33126) {G0,W1,D1,L1,V0,M1} { alpha10 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33127) {G4,W2,D1,L2,V0,M2} { alpha31, alpha35 }.
% 13.33/13.77 parent0[0]: (434) {G4,W3,D1,L3,V0,M3} R(180,428) { ! alpha10, alpha31,
% 13.33/13.77 alpha35 }.
% 13.33/13.77 parent1[0]: (13606) {G3,W1,D1,L1,V0,M1} S(179);d(13530);q { alpha10 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (13608) {G5,W2,D1,L2,V0,M2} R(13606,434) { alpha31, alpha35
% 13.33/13.77 }.
% 13.33/13.77 parent0: (33127) {G4,W2,D1,L2,V0,M2} { alpha31, alpha35 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 1 ==> 1
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqswap: (33128) {G1,W47,D8,L2,V0,M2} { ! a_select3( q, pv10, skol16 ) ==>
% 13.33/13.77 divide( sqrt( times( minus( a_select3( center, skol16, n0 ), a_select2( x
% 13.33/13.77 , pv10 ) ), minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 )
% 13.33/13.77 ) ) ), sum( n0, pred( n5 ), sqrt( times( minus( a_select3( center,
% 13.33/13.77 skol31, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, skol31,
% 13.33/13.77 n0 ), a_select2( x, pv10 ) ) ) ) ) ), ! alpha31 }.
% 13.33/13.77 parent0[1]: (185) {G1,W47,D8,L2,V0,M2} I;d(146) { ! alpha31, ! divide( sqrt
% 13.33/13.77 ( times( minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ),
% 13.33/13.77 minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ) ) ), sum(
% 13.33/13.77 n0, pred( n5 ), sqrt( times( minus( a_select3( center, skol31, n0 ),
% 13.33/13.77 a_select2( x, pv10 ) ), minus( a_select3( center, skol31, n0 ), a_select2
% 13.33/13.77 ( x, pv10 ) ) ) ) ) ) ==> a_select3( q, pv10, skol16 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqswap: (33129) {G1,W53,D8,L3,V2,M3} { a_select3( q, pv10, X ) ==> divide
% 13.33/13.77 ( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) )
% 13.33/13.77 , minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0
% 13.33/13.77 , pred( n5 ), sqrt( times( minus( a_select3( center, Y, n0 ), a_select2(
% 13.33/13.77 x, pv10 ) ), minus( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ) )
% 13.33/13.77 ) ) ), ! leq( n0, X ), ! leq( X, pred( pv12 ) ) }.
% 13.33/13.77 parent0[2]: (175) {G1,W53,D8,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), !
% 13.33/13.77 leq( X, pred( pv12 ) ), divide( sqrt( times( minus( a_select3( center, X
% 13.33/13.77 , n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ),
% 13.33/13.77 a_select2( x, pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt( times( minus(
% 13.33/13.77 a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 13.33/13.77 center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ) ==> a_select3( q, pv10, X
% 13.33/13.77 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := X
% 13.33/13.77 Y := Y
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33130) {G2,W8,D3,L3,V0,M3} { ! alpha31, ! leq( n0, skol16 ),
% 13.33/13.77 ! leq( skol16, pred( pv12 ) ) }.
% 13.33/13.77 parent0[0]: (33128) {G1,W47,D8,L2,V0,M2} { ! a_select3( q, pv10, skol16 )
% 13.33/13.77 ==> divide( sqrt( times( minus( a_select3( center, skol16, n0 ),
% 13.33/13.77 a_select2( x, pv10 ) ), minus( a_select3( center, skol16, n0 ), a_select2
% 13.33/13.77 ( x, pv10 ) ) ) ), sum( n0, pred( n5 ), sqrt( times( minus( a_select3(
% 13.33/13.77 center, skol31, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center,
% 13.33/13.77 skol31, n0 ), a_select2( x, pv10 ) ) ) ) ) ), ! alpha31 }.
% 13.33/13.77 parent1[0]: (33129) {G1,W53,D8,L3,V2,M3} { a_select3( q, pv10, X ) ==>
% 13.33/13.77 divide( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x,
% 13.33/13.77 pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ),
% 13.33/13.77 sum( n0, pred( n5 ), sqrt( times( minus( a_select3( center, Y, n0 ),
% 13.33/13.77 a_select2( x, pv10 ) ), minus( a_select3( center, Y, n0 ), a_select2( x,
% 13.33/13.77 pv10 ) ) ) ) ) ), ! leq( n0, X ), ! leq( X, pred( pv12 ) ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 X := skol16
% 13.33/13.77 Y := skol31
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33131) {G1,W6,D3,L3,V0,M3} { ! alpha31, ! leq( skol16, pred(
% 13.33/13.77 pv12 ) ), ! alpha31 }.
% 13.33/13.77 parent0[1]: (33130) {G2,W8,D3,L3,V0,M3} { ! alpha31, ! leq( n0, skol16 ),
% 13.33/13.77 ! leq( skol16, pred( pv12 ) ) }.
% 13.33/13.77 parent1[1]: (183) {G0,W4,D2,L2,V0,M2} I { ! alpha31, leq( n0, skol16 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 factor: (33132) {G1,W5,D3,L2,V0,M2} { ! alpha31, ! leq( skol16, pred( pv12
% 13.33/13.77 ) ) }.
% 13.33/13.77 parent0[0, 2]: (33131) {G1,W6,D3,L3,V0,M3} { ! alpha31, ! leq( skol16,
% 13.33/13.77 pred( pv12 ) ), ! alpha31 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (13697) {G2,W5,D3,L2,V0,M2} R(185,175);r(183) { ! alpha31, !
% 13.33/13.77 leq( skol16, pred( pv12 ) ) }.
% 13.33/13.77 parent0: (33132) {G1,W5,D3,L2,V0,M2} { ! alpha31, ! leq( skol16, pred(
% 13.33/13.77 pv12 ) ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 1 ==> 1
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 paramod: (33136) {G2,W27,D7,L3,V0,M3} { ! sum( n0, tptp_minus_1, sqrt(
% 13.33/13.77 times( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ),
% 13.33/13.77 minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ) ==> n0
% 13.33/13.77 , ! alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.77 parent0[0]: (10350) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==>
% 13.33/13.77 tptp_minus_1 }.
% 13.33/13.77 parent1[2; 4]: (190) {G1,W28,D7,L3,V0,M3} I;d(146);r(171) { ! alpha35, !
% 13.33/13.77 leq( n0, pv12 ), ! sum( n0, pred( n0 ), sqrt( times( minus( a_select3(
% 13.33/13.77 center, pv71, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center,
% 13.33/13.77 pv71, n0 ), a_select2( x, pv10 ) ) ) ) ) ==> n0 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 paramod: (33137) {G1,W7,D2,L3,V0,M3} { ! n0 ==> n0, ! alpha35, ! leq( n0,
% 13.33/13.77 pv12 ) }.
% 13.33/13.77 parent0[0]: (133) {G0,W6,D3,L1,V1,M1} I { sum( n0, tptp_minus_1, X ) ==> n0
% 13.33/13.77 }.
% 13.33/13.77 parent1[0; 2]: (33136) {G2,W27,D7,L3,V0,M3} { ! sum( n0, tptp_minus_1,
% 13.33/13.77 sqrt( times( minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) )
% 13.33/13.77 , minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) ) ) ) ==>
% 13.33/13.77 n0, ! alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 X := sqrt( times( minus( a_select3( center, pv71, n0 ), a_select2( x,
% 13.33/13.77 pv10 ) ), minus( a_select3( center, pv71, n0 ), a_select2( x, pv10 ) ) )
% 13.33/13.77 )
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 eqrefl: (33138) {G0,W4,D2,L2,V0,M2} { ! alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.77 parent0[0]: (33137) {G1,W7,D2,L3,V0,M3} { ! n0 ==> n0, ! alpha35, ! leq(
% 13.33/13.77 n0, pv12 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33139) {G1,W1,D1,L1,V0,M1} { ! alpha35 }.
% 13.33/13.77 parent0[1]: (33138) {G0,W4,D2,L2,V0,M2} { ! alpha35, ! leq( n0, pv12 ) }.
% 13.33/13.77 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv12 ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (13702) {G2,W1,D1,L1,V0,M1} S(190);d(10350);d(133);q;r(172) {
% 13.33/13.77 ! alpha35 }.
% 13.33/13.77 parent0: (33139) {G1,W1,D1,L1,V0,M1} { ! alpha35 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33140) {G3,W1,D1,L1,V0,M1} { alpha31 }.
% 13.33/13.77 parent0[0]: (13702) {G2,W1,D1,L1,V0,M1} S(190);d(10350);d(133);q;r(172) { !
% 13.33/13.77 alpha35 }.
% 13.33/13.77 parent1[1]: (13608) {G5,W2,D1,L2,V0,M2} R(13606,434) { alpha31, alpha35 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (13703) {G6,W1,D1,L1,V0,M1} R(13702,13608) { alpha31 }.
% 13.33/13.77 parent0: (33140) {G3,W1,D1,L1,V0,M1} { alpha31 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33141) {G2,W4,D3,L1,V0,M1} { leq( skol16, pred( pv12 ) ) }.
% 13.33/13.77 parent0[0]: (184) {G1,W5,D3,L2,V0,M2} I;d(146) { ! alpha31, leq( skol16,
% 13.33/13.77 pred( pv12 ) ) }.
% 13.33/13.77 parent1[0]: (13703) {G6,W1,D1,L1,V0,M1} R(13702,13608) { alpha31 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (13706) {G7,W4,D3,L1,V0,M1} R(13703,184) { leq( skol16, pred(
% 13.33/13.77 pv12 ) ) }.
% 13.33/13.77 parent0: (33141) {G2,W4,D3,L1,V0,M1} { leq( skol16, pred( pv12 ) ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 0 ==> 0
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33142) {G3,W4,D3,L1,V0,M1} { ! leq( skol16, pred( pv12 ) )
% 13.33/13.77 }.
% 13.33/13.77 parent0[0]: (13697) {G2,W5,D3,L2,V0,M2} R(185,175);r(183) { ! alpha31, !
% 13.33/13.77 leq( skol16, pred( pv12 ) ) }.
% 13.33/13.77 parent1[0]: (13703) {G6,W1,D1,L1,V0,M1} R(13702,13608) { alpha31 }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 resolution: (33143) {G4,W0,D0,L0,V0,M0} { }.
% 13.33/13.77 parent0[0]: (33142) {G3,W4,D3,L1,V0,M1} { ! leq( skol16, pred( pv12 ) )
% 13.33/13.77 }.
% 13.33/13.77 parent1[0]: (13706) {G7,W4,D3,L1,V0,M1} R(13703,184) { leq( skol16, pred(
% 13.33/13.77 pv12 ) ) }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 substitution1:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 subsumption: (20228) {G8,W0,D0,L0,V0,M0} S(13697);r(13703);r(13706) { }.
% 13.33/13.77 parent0: (33143) {G4,W0,D0,L0,V0,M0} { }.
% 13.33/13.77 substitution0:
% 13.33/13.77 end
% 13.33/13.77 permutation0:
% 13.33/13.77 end
% 13.33/13.77
% 13.33/13.77 Proof check complete!
% 13.33/13.77
% 13.33/13.77 Memory use:
% 13.33/13.77
% 13.33/13.77 space for terms: 631517
% 13.33/13.77 space for clauses: 899585
% 13.33/13.77
% 13.33/13.77
% 13.33/13.77 clauses generated: 195161
% 13.33/13.77 clauses kept: 20229
% 13.33/13.77 clauses selected: 1224
% 13.33/13.77 clauses deleted: 1019
% 13.33/13.77 clauses inuse deleted: 60
% 13.33/13.77
% 13.33/13.77 subsentry: 579069
% 13.33/13.77 literals s-matched: 188911
% 13.33/13.77 literals matched: 157035
% 13.33/13.77 full subsumption: 111123
% 13.33/13.77
% 13.33/13.77 checksum: -246868648
% 13.33/13.77
% 13.33/13.77
% 13.33/13.77 Bliksem ended
%------------------------------------------------------------------------------