TSTP Solution File: SWV200+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV200+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:54 EDT 2022
% Result : Theorem 14.72s 15.12s
% Output : Refutation 14.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV200+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 23:21:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.16 *** allocated 10000 integers for termspace/termends
% 0.72/1.16 *** allocated 10000 integers for clauses
% 0.72/1.16 *** allocated 10000 integers for justifications
% 0.72/1.16 Bliksem 1.12
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Automatic Strategy Selection
% 0.72/1.16
% 0.72/1.16 *** allocated 15000 integers for termspace/termends
% 0.72/1.16
% 0.72/1.16 Clauses:
% 0.72/1.16
% 0.72/1.16 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.72/1.16 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.72/1.16 { ! gt( X, X ) }.
% 0.72/1.16 { leq( X, X ) }.
% 0.72/1.16 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.72/1.16 { ! lt( X, Y ), gt( Y, X ) }.
% 0.72/1.16 { ! gt( Y, X ), lt( X, Y ) }.
% 0.72/1.16 { ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.16 { ! gt( Y, X ), leq( X, Y ) }.
% 0.72/1.16 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.72/1.16 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.72/1.16 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.72/1.16 { gt( succ( X ), X ) }.
% 0.72/1.16 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.72/1.16 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.72/1.16 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.72/1.16 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.72/1.16 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.72/1.16 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.72/1.16 T ), X ) = T }.
% 0.72/1.16 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.72/1.16 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.72/1.16 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.72/1.16 a_select3( trans( X ), T, Z ) }.
% 0.72/1.16 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.72/1.16 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.16 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.72/1.16 ) }.
% 0.72/1.16 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.72/1.16 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.72/1.16 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.72/1.16 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.72/1.16 a_select3( inv( X ), T, Z ) }.
% 0.72/1.16 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.72/1.16 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.16 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.72/1.16 .
% 0.72/1.16 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.72/1.16 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.72/1.16 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.72/1.16 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.16 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.72/1.16 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.72/1.16 X, U, U, W ), T, Z ) }.
% 0.72/1.16 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.72/1.16 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.16 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.72/1.16 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.72/1.16 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.72/1.16 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.72/1.16 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.72/1.16 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.72/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.72/1.16 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.72/1.16 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.72/1.16 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.72/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.72/1.16 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.72/1.16 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.72/1.16 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.72/1.16 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.16 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.72/1.16 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.72/1.16 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.16 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.72/1.16 ( X, Y ) }.
% 0.72/1.16 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.72/1.16 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.72/1.16 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.72/1.16 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.72/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.72/1.16 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.72/1.16 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.72/1.16 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.72/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.72/1.16 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.72/1.16 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.72/1.16 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.72/1.16 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.72/1.16 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.72/1.16 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.72/1.16 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.72/1.16 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.72/1.16 ( X, Y ) }.
% 0.72/1.16 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.72/1.16 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.72/1.16 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.72/1.16 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.72/1.16 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.72/1.16 U ) ) ), T, Z ) }.
% 0.72/1.16 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.72/1.16 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.16 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.72/1.16 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.72/1.16 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.72/1.16 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.72/1.16 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.72/1.16 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.72/1.16 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.72/1.16 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.72/1.16 W ) ) ), T, Z ) }.
% 0.72/1.16 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.72/1.16 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.72/1.16 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.72/1.16 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.72/1.16 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.72/1.16 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.72/1.16 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.72/1.16 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.72/1.16 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.72/1.16 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.72/1.16 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.72/1.16 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.72/1.16 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.72/1.16 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.72/1.16 ) }.
% 0.72/1.16 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.72/1.16 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.72/1.16 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.72/1.16 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.72/1.16 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.72/1.16 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.72/1.16 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.72/1.16 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.72/1.16 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.72/1.16 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.72/1.16 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.72/1.16 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.72/1.16 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.72/1.16 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.16 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.72/1.16 alpha19( X, Y ) }.
% 0.72/1.16 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.72/1.16 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.72/1.16 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.72/1.16 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.72/1.16 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.72/1.16 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.16 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.72/1.16 ), alpha8( X ) }.
% 0.72/1.16 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.72/1.16 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.16 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.16 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.72/1.16 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.72/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.72/1.16 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.72/1.16 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.72/1.16 { succ( tptp_minus_1 ) = n0 }.
% 0.72/1.16 { plus( X, n1 ) = succ( X ) }.
% 0.72/1.16 { plus( n1, X ) = succ( X ) }.
% 0.72/1.16 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.72/1.16 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.72/1.16 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.72/1.16 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.72/1.16 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.72/1.16 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.72/1.16 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.72/1.16 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.72/1.16 { minus( X, n1 ) = pred( X ) }.
% 0.72/1.16 { pred( succ( X ) ) = X }.
% 0.72/1.16 { succ( pred( X ) ) = X }.
% 0.72/1.16 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.72/1.16 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.72/1.16 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.72/1.16 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.72/1.16 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.72/1.16 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.72/1.16 , Y, V0 ), Z, T ) = W }.
% 0.72/1.16 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.72/1.16 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.72/1.16 }.
% 0.72/1.16 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.72/1.16 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.72/1.16 U, Z, T, W ), X, Y ) = W }.
% 0.72/1.16 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.72/1.16 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.72/1.16 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.72/1.16 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.72/1.16 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.72/1.16 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.72/1.16 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.72/1.16 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.72/1.16 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.72/1.16 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.72/1.16 T }.
% 0.72/1.16 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.72/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.72/1.16 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.72/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.72/1.16 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.72/1.16 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.72/1.16 { true }.
% 0.72/1.16 { ! def = use }.
% 0.72/1.16 { a_select2( rho_defuse, n0 ) = use }.
% 0.72/1.16 { a_select2( rho_defuse, n1 ) = use }.
% 0.72/1.16 { a_select2( rho_defuse, n2 ) = use }.
% 0.72/1.16 { a_select2( sigma_defuse, n0 ) = use }.
% 0.72/1.16 { a_select2( sigma_defuse, n1 ) = use }.
% 0.72/1.16 { a_select2( sigma_defuse, n2 ) = use }.
% 0.72/1.16 { a_select2( sigma_defuse, n3 ) = use }.
% 0.72/1.16 { a_select2( sigma_defuse, n4 ) = use }.
% 0.72/1.16 { a_select2( sigma_defuse, n5 ) = use }.
% 0.72/1.16 { a_select3( u_defuse, n0, n0 ) = use }.
% 0.72/1.16 { a_select3( u_defuse, n1, n0 ) = use }.
% 0.72/1.16 { a_select3( u_defuse, n2, n0 ) = use }.
% 0.72/1.16 { a_select2( xinit_defuse, n3 ) = use }.
% 0.72/1.16 { a_select2( xinit_defuse, n4 ) = use }.
% 0.72/1.16 { a_select2( xinit_defuse, n5 ) = use }.
% 0.72/1.16 { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.72/1.16 { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.72/1.16 { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.72/1.16 { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.72/1.16 { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.72/1.16 { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.72/1.16 { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.72/1.16 { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.72/1.16 { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.72/1.16 { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.72/1.16 { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.72/1.16 { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.72/1.16 { leq( n0, pv5 ) }.
% 0.72/1.16 { leq( pv5, n998 ) }.
% 0.72/1.16 { gt( pv5, n0 ) }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, pred( pv5 ) ),
% 0.72/1.16 a_select3( u_defuse, X, Y ) = use }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, pred( pv5 ) ),
% 0.72/1.16 a_select3( z_defuse, X, Y ) = use }.
% 0.72/1.16 { leq( n0, skol15 ) }.
% 0.72/1.16 { leq( n0, skol29 ) }.
% 0.72/1.16 { leq( skol15, n2 ) }.
% 0.72/1.16 { leq( skol29, pred( pv5 ) ) }.
% 0.72/1.16 { ! n0 = skol15, ! pv5 = skol29 }.
% 0.72/1.16 { ! n1 = skol15, ! pv5 = skol29 }.
% 0.72/1.16 { ! n2 = skol15, ! pv5 = skol29 }.
% 0.72/1.16 { ! a_select3( u_defuse, skol15, skol29 ) = use }.
% 0.72/1.16 { gt( n5, n4 ) }.
% 0.72/1.16 { gt( n998, n4 ) }.
% 0.72/1.16 { gt( n998, n5 ) }.
% 0.72/1.16 { gt( n4, tptp_minus_1 ) }.
% 0.72/1.16 { gt( n5, tptp_minus_1 ) }.
% 0.72/1.16 { gt( n998, tptp_minus_1 ) }.
% 0.72/1.16 { gt( n0, tptp_minus_1 ) }.
% 0.72/1.16 { gt( n1, tptp_minus_1 ) }.
% 0.72/1.16 { gt( n2, tptp_minus_1 ) }.
% 0.72/1.16 { gt( n3, tptp_minus_1 ) }.
% 0.72/1.16 { gt( n4, n0 ) }.
% 0.72/1.16 { gt( n5, n0 ) }.
% 0.72/1.16 { gt( n998, n0 ) }.
% 0.72/1.16 { gt( n1, n0 ) }.
% 0.72/1.16 { gt( n2, n0 ) }.
% 0.72/1.16 { gt( n3, n0 ) }.
% 0.72/1.16 { gt( n4, n1 ) }.
% 0.72/1.16 { gt( n5, n1 ) }.
% 0.72/1.16 { gt( n998, n1 ) }.
% 0.72/1.16 { gt( n2, n1 ) }.
% 0.72/1.16 { gt( n3, n1 ) }.
% 0.72/1.16 { gt( n4, n2 ) }.
% 0.72/1.16 { gt( n5, n2 ) }.
% 0.72/1.16 { gt( n998, n2 ) }.
% 0.72/1.16 { gt( n3, n2 ) }.
% 0.72/1.16 { gt( n4, n3 ) }.
% 0.72/1.16 { gt( n5, n3 ) }.
% 0.72/1.16 { gt( n998, n3 ) }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.72/1.16 .
% 0.72/1.16 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.72/1.16 = n5 }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.72/1.16 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.72/1.16 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.72/1.16 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.72/1.16 { succ( n0 ) = n1 }.
% 0.72/1.16 { succ( succ( n0 ) ) = n2 }.
% 0.72/1.16 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.72/1.16
% 0.72/1.16 *** allocated 15000 integers for clauses
% 0.72/1.16 percentage equality = 0.226415, percentage horn = 0.888000
% 0.72/1.16 This is a problem with some equality
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 Options Used:
% 0.72/1.16
% 0.72/1.16 useres = 1
% 0.72/1.16 useparamod = 1
% 0.72/1.16 useeqrefl = 1
% 0.72/1.16 useeqfact = 1
% 0.72/1.16 usefactor = 1
% 0.72/1.16 usesimpsplitting = 0
% 0.72/1.16 usesimpdemod = 5
% 0.72/1.16 usesimpres = 3
% 0.72/1.16
% 0.72/1.16 resimpinuse = 1000
% 0.72/1.16 resimpclauses = 20000
% 0.72/1.16 substype = eqrewr
% 0.72/1.16 backwardsubs = 1
% 0.72/1.16 selectoldest = 5
% 0.72/1.16
% 0.72/1.16 litorderings [0] = split
% 0.72/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 4.11/4.47
% 4.11/4.47 termordering = kbo
% 4.11/4.47
% 4.11/4.47 litapriori = 0
% 4.11/4.47 termapriori = 1
% 4.11/4.47 litaposteriori = 0
% 4.11/4.47 termaposteriori = 0
% 4.11/4.47 demodaposteriori = 0
% 4.11/4.47 ordereqreflfact = 0
% 4.11/4.47
% 4.11/4.47 litselect = negord
% 4.11/4.47
% 4.11/4.47 maxweight = 15
% 4.11/4.47 maxdepth = 30000
% 4.11/4.47 maxlength = 115
% 4.11/4.47 maxnrvars = 195
% 4.11/4.47 excuselevel = 1
% 4.11/4.47 increasemaxweight = 1
% 4.11/4.47
% 4.11/4.47 maxselected = 10000000
% 4.11/4.47 maxnrclauses = 10000000
% 4.11/4.47
% 4.11/4.47 showgenerated = 0
% 4.11/4.47 showkept = 0
% 4.11/4.47 showselected = 0
% 4.11/4.47 showdeleted = 0
% 4.11/4.47 showresimp = 1
% 4.11/4.47 showstatus = 2000
% 4.11/4.47
% 4.11/4.47 prologoutput = 0
% 4.11/4.47 nrgoals = 5000000
% 4.11/4.47 totalproof = 1
% 4.11/4.47
% 4.11/4.47 Symbols occurring in the translation:
% 4.11/4.47
% 4.11/4.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.11/4.47 . [1, 2] (w:1, o:66, a:1, s:1, b:0),
% 4.11/4.47 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 4.11/4.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.11/4.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.11/4.47 gt [37, 2] (w:1, o:90, a:1, s:1, b:0),
% 4.11/4.47 leq [39, 2] (w:1, o:91, a:1, s:1, b:0),
% 4.11/4.47 lt [40, 2] (w:1, o:92, a:1, s:1, b:0),
% 4.11/4.47 geq [41, 2] (w:1, o:93, a:1, s:1, b:0),
% 4.11/4.47 pred [42, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.11/4.47 succ [43, 1] (w:1, o:61, a:1, s:1, b:0),
% 4.11/4.47 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.11/4.47 uniform_int_rnd [46, 2] (w:1, o:122, a:1, s:1, b:0),
% 4.11/4.47 dim [51, 2] (w:1, o:123, a:1, s:1, b:0),
% 4.11/4.47 tptp_const_array1 [52, 2] (w:1, o:118, a:1, s:1, b:0),
% 4.11/4.47 a_select2 [53, 2] (w:1, o:124, a:1, s:1, b:0),
% 4.11/4.47 tptp_const_array2 [59, 3] (w:1, o:145, a:1, s:1, b:0),
% 4.11/4.47 a_select3 [60, 3] (w:1, o:146, a:1, s:1, b:0),
% 4.11/4.47 trans [63, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.11/4.47 inv [64, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.11/4.47 tptp_update3 [67, 4] (w:1, o:163, a:1, s:1, b:0),
% 4.11/4.47 tptp_madd [69, 2] (w:1, o:119, a:1, s:1, b:0),
% 4.11/4.47 tptp_msub [70, 2] (w:1, o:120, a:1, s:1, b:0),
% 4.11/4.47 tptp_mmul [71, 2] (w:1, o:121, a:1, s:1, b:0),
% 4.11/4.47 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 4.11/4.47 sum [78, 3] (w:1, o:143, a:1, s:1, b:0),
% 4.11/4.47 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 4.11/4.47 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 4.11/4.47 plus [81, 2] (w:1, o:125, a:1, s:1, b:0),
% 4.11/4.47 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 4.11/4.47 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 4.11/4.47 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 4.11/4.47 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 4.11/4.47 minus [86, 2] (w:1, o:126, a:1, s:1, b:0),
% 4.11/4.47 tptp_update2 [91, 3] (w:1, o:147, a:1, s:1, b:0),
% 4.11/4.47 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 4.11/4.47 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 4.11/4.47 use [94, 0] (w:1, o:46, a:1, s:1, b:0),
% 4.11/4.47 rho_defuse [95, 0] (w:1, o:47, a:1, s:1, b:0),
% 4.11/4.47 sigma_defuse [96, 0] (w:1, o:32, a:1, s:1, b:0),
% 4.11/4.47 u_defuse [97, 0] (w:1, o:48, a:1, s:1, b:0),
% 4.11/4.47 xinit_defuse [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 4.11/4.47 xinit_mean_defuse [99, 0] (w:1, o:50, a:1, s:1, b:0),
% 4.11/4.47 xinit_noise_defuse [100, 0] (w:1, o:51, a:1, s:1, b:0),
% 4.11/4.47 pv5 [101, 0] (w:1, o:52, a:1, s:1, b:0),
% 4.11/4.47 n998 [102, 0] (w:1, o:53, a:1, s:1, b:0),
% 4.11/4.47 z_defuse [103, 0] (w:1, o:54, a:1, s:1, b:0),
% 4.11/4.47 alpha1 [104, 2] (w:1, o:127, a:1, s:1, b:1),
% 4.11/4.47 alpha2 [105, 2] (w:1, o:133, a:1, s:1, b:1),
% 4.11/4.47 alpha3 [106, 2] (w:1, o:137, a:1, s:1, b:1),
% 4.11/4.47 alpha4 [107, 2] (w:1, o:138, a:1, s:1, b:1),
% 4.11/4.47 alpha5 [108, 2] (w:1, o:139, a:1, s:1, b:1),
% 4.11/4.47 alpha6 [109, 2] (w:1, o:140, a:1, s:1, b:1),
% 4.11/4.47 alpha7 [110, 2] (w:1, o:141, a:1, s:1, b:1),
% 4.11/4.47 alpha8 [111, 1] (w:1, o:65, a:1, s:1, b:1),
% 4.11/4.47 alpha9 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 4.11/4.47 alpha10 [113, 3] (w:1, o:148, a:1, s:1, b:1),
% 4.11/4.47 alpha11 [114, 3] (w:1, o:149, a:1, s:1, b:1),
% 4.11/4.47 alpha12 [115, 3] (w:1, o:150, a:1, s:1, b:1),
% 4.11/4.47 alpha13 [116, 2] (w:1, o:128, a:1, s:1, b:1),
% 4.11/4.47 alpha14 [117, 2] (w:1, o:129, a:1, s:1, b:1),
% 4.11/4.47 alpha15 [118, 2] (w:1, o:130, a:1, s:1, b:1),
% 4.11/4.47 alpha16 [119, 2] (w:1, o:131, a:1, s:1, b:1),
% 4.11/4.47 alpha17 [120, 3] (w:1, o:151, a:1, s:1, b:1),
% 4.11/4.47 alpha18 [121, 3] (w:1, o:152, a:1, s:1, b:1),
% 4.11/4.47 alpha19 [122, 2] (w:1, o:132, a:1, s:1, b:1),
% 4.11/4.47 alpha20 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 4.11/4.47 alpha21 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 14.72/15.12 alpha22 [125, 3] (w:1, o:154, a:1, s:1, b:1),
% 14.72/15.12 alpha23 [126, 3] (w:1, o:155, a:1, s:1, b:1),
% 14.72/15.12 alpha24 [127, 3] (w:1, o:156, a:1, s:1, b:1),
% 14.72/15.12 alpha25 [128, 3] (w:1, o:157, a:1, s:1, b:1),
% 14.72/15.12 alpha26 [129, 2] (w:1, o:135, a:1, s:1, b:1),
% 14.72/15.12 alpha27 [130, 2] (w:1, o:136, a:1, s:1, b:1),
% 14.72/15.12 alpha28 [131, 3] (w:1, o:158, a:1, s:1, b:1),
% 14.72/15.12 alpha29 [132, 3] (w:1, o:159, a:1, s:1, b:1),
% 14.72/15.12 alpha30 [133, 3] (w:1, o:160, a:1, s:1, b:1),
% 14.72/15.12 skol1 [134, 2] (w:1, o:94, a:1, s:1, b:1),
% 14.72/15.12 skol2 [135, 2] (w:1, o:102, a:1, s:1, b:1),
% 14.72/15.12 skol3 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 14.72/15.12 skol4 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 14.72/15.12 skol5 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 14.72/15.12 skol6 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 14.72/15.12 skol7 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 14.72/15.12 skol8 [141, 2] (w:1, o:116, a:1, s:1, b:1),
% 14.72/15.12 skol9 [142, 2] (w:1, o:117, a:1, s:1, b:1),
% 14.72/15.12 skol10 [143, 2] (w:1, o:95, a:1, s:1, b:1),
% 14.72/15.12 skol11 [144, 2] (w:1, o:96, a:1, s:1, b:1),
% 14.72/15.12 skol12 [145, 2] (w:1, o:97, a:1, s:1, b:1),
% 14.72/15.12 skol13 [146, 4] (w:1, o:161, a:1, s:1, b:1),
% 14.72/15.12 skol14 [147, 3] (w:1, o:144, a:1, s:1, b:1),
% 14.72/15.12 skol15 [148, 0] (w:1, o:33, a:1, s:1, b:1),
% 14.72/15.12 skol16 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 14.72/15.12 skol17 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 14.72/15.12 skol18 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 14.72/15.12 skol19 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 14.72/15.12 skol20 [153, 2] (w:1, o:103, a:1, s:1, b:1),
% 14.72/15.12 skol21 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 14.72/15.12 skol22 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 14.72/15.12 skol23 [156, 2] (w:1, o:106, a:1, s:1, b:1),
% 14.72/15.12 skol24 [157, 2] (w:1, o:107, a:1, s:1, b:1),
% 14.72/15.12 skol25 [158, 2] (w:1, o:108, a:1, s:1, b:1),
% 14.72/15.12 skol26 [159, 2] (w:1, o:109, a:1, s:1, b:1),
% 14.72/15.12 skol27 [160, 2] (w:1, o:110, a:1, s:1, b:1),
% 14.72/15.12 skol28 [161, 4] (w:1, o:162, a:1, s:1, b:1),
% 14.72/15.12 skol29 [162, 0] (w:1, o:34, a:1, s:1, b:1),
% 14.72/15.12 skol30 [163, 1] (w:1, o:62, a:1, s:1, b:1).
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 Starting Search:
% 14.72/15.12
% 14.72/15.12 *** allocated 22500 integers for clauses
% 14.72/15.12 *** allocated 33750 integers for clauses
% 14.72/15.12 *** allocated 22500 integers for termspace/termends
% 14.72/15.12 *** allocated 50625 integers for clauses
% 14.72/15.12 *** allocated 75937 integers for clauses
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 33750 integers for termspace/termends
% 14.72/15.12 *** allocated 113905 integers for clauses
% 14.72/15.12 *** allocated 50625 integers for termspace/termends
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 7909
% 14.72/15.12 Kept: 2004
% 14.72/15.12 Inuse: 170
% 14.72/15.12 Deleted: 0
% 14.72/15.12 Deletedinuse: 0
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 170857 integers for clauses
% 14.72/15.12 *** allocated 75937 integers for termspace/termends
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 256285 integers for clauses
% 14.72/15.12 *** allocated 113905 integers for termspace/termends
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 16174
% 14.72/15.12 Kept: 4104
% 14.72/15.12 Inuse: 326
% 14.72/15.12 Deleted: 0
% 14.72/15.12 Deletedinuse: 0
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 170857 integers for termspace/termends
% 14.72/15.12 *** allocated 384427 integers for clauses
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 23342
% 14.72/15.12 Kept: 6113
% 14.72/15.12 Inuse: 459
% 14.72/15.12 Deleted: 0
% 14.72/15.12 Deletedinuse: 0
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 256285 integers for termspace/termends
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 31519
% 14.72/15.12 Kept: 8167
% 14.72/15.12 Inuse: 551
% 14.72/15.12 Deleted: 0
% 14.72/15.12 Deletedinuse: 0
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 576640 integers for clauses
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 36238
% 14.72/15.12 Kept: 10196
% 14.72/15.12 Inuse: 670
% 14.72/15.12 Deleted: 0
% 14.72/15.12 Deletedinuse: 0
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 384427 integers for termspace/termends
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 44313
% 14.72/15.12 Kept: 12196
% 14.72/15.12 Inuse: 793
% 14.72/15.12 Deleted: 13
% 14.72/15.12 Deletedinuse: 12
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 864960 integers for clauses
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 49803
% 14.72/15.12 Kept: 14259
% 14.72/15.12 Inuse: 979
% 14.72/15.12 Deleted: 14
% 14.72/15.12 Deletedinuse: 12
% 14.72/15.12
% 14.72/15.12 *** allocated 576640 integers for termspace/termends
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 141276
% 14.72/15.12 Kept: 17462
% 14.72/15.12 Inuse: 1009
% 14.72/15.12 Deleted: 14
% 14.72/15.12 Deletedinuse: 12
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 *** allocated 864960 integers for termspace/termends
% 14.72/15.12 *** allocated 1297440 integers for clauses
% 14.72/15.12
% 14.72/15.12 Intermediate Status:
% 14.72/15.12 Generated: 164828
% 14.72/15.12 Kept: 19736
% 14.72/15.12 Inuse: 1024
% 14.72/15.12 Deleted: 14
% 14.72/15.12 Deletedinuse: 12
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 Resimplifying inuse:
% 14.72/15.12 Done
% 14.72/15.12
% 14.72/15.12 Resimplifying clauses:
% 14.72/15.12
% 14.72/15.12 Bliksems!, er is een bewijs:
% 14.72/15.12 % SZS status Theorem
% 14.72/15.12 % SZS output start Refutation
% 14.72/15.12
% 14.72/15.12 (201) {G0,W19,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2
% 14.72/15.12 ), ! leq( Y, pred( pv5 ) ), a_select3( u_defuse, X, Y ) ==> use }.
% 14.72/15.12 (203) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 14.72/15.12 (204) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 14.72/15.12 (205) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 14.72/15.12 (206) {G0,W4,D3,L1,V0,M1} I { leq( skol29, pred( pv5 ) ) }.
% 14.72/15.12 (210) {G0,W6,D3,L1,V0,M1} I { ! a_select3( u_defuse, skol15, skol29 ) ==>
% 14.72/15.12 use }.
% 14.72/15.12 (14358) {G1,W10,D3,L3,V0,M3} R(210,201);r(203) { ! leq( n0, skol29 ), ! leq
% 14.72/15.12 ( skol15, n2 ), ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.12 (21255) {G2,W0,D0,L0,V0,M0} S(14358);r(204);r(205);r(206) { }.
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 % SZS output end Refutation
% 14.72/15.12 found a proof!
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 Unprocessed initial clauses:
% 14.72/15.12
% 14.72/15.12 (21257) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 14.72/15.12 (21258) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 14.72/15.12 (21259) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 14.72/15.12 (21260) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 14.72/15.12 (21261) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 14.72/15.12 }.
% 14.72/15.12 (21262) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 14.72/15.12 (21263) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 14.72/15.12 (21264) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21265) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 14.72/15.12 (21266) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 14.72/15.12 (21267) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 14.72/15.12 (21268) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 14.72/15.12 (21269) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 14.72/15.12 (21270) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 14.72/15.12 (21271) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 14.72/15.12 (21272) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 14.72/15.12 (21273) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 14.72/15.12 (21274) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 14.72/15.12 , X ) }.
% 14.72/15.12 (21275) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 14.72/15.12 , X ) ) }.
% 14.72/15.12 (21276) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 14.72/15.12 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 14.72/15.12 (21277) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 14.72/15.12 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 14.72/15.12 V0 ), X, T ) = V0 }.
% 14.72/15.12 (21278) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 14.72/15.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.72/15.12 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 14.72/15.12 (21279) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 14.72/15.12 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 14.72/15.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 14.72/15.12 = a_select3( trans( X ), T, Z ) }.
% 14.72/15.12 (21280) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 14.72/15.12 (21281) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21282) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21283) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha10( X, Y, Z ) }.
% 14.72/15.12 (21284) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21285) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21286) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21287) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 14.72/15.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.72/15.12 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 14.72/15.12 (21288) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 14.72/15.12 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 14.72/15.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 14.72/15.12 a_select3( inv( X ), T, Z ) }.
% 14.72/15.12 (21289) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 14.72/15.12 (21290) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21291) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21292) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha11( X, Y, Z ) }.
% 14.72/15.12 (21293) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21294) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21295) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21296) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 14.72/15.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 14.72/15.12 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 14.72/15.12 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 14.72/15.12 (21297) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 14.72/15.12 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 14.72/15.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 14.72/15.12 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 14.72/15.12 ( X, U, U, W ), T, Z ) }.
% 14.72/15.12 (21298) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 14.72/15.12 (21299) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21300) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21301) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha12( X, Y, Z ) }.
% 14.72/15.12 (21302) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21303) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21304) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21305) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 14.72/15.12 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 14.72/15.12 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 14.72/15.12 ), U, T ) }.
% 14.72/15.12 (21306) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 14.72/15.12 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 14.72/15.12 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 14.72/15.12 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 14.72/15.12 (21307) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 14.72/15.12 (21308) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21309) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21310) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha22( X, Y, Z ) }.
% 14.72/15.12 (21311) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21312) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21313) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21314) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 14.72/15.12 , skol20( X, Y ) ) }.
% 14.72/15.12 (21315) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 14.72/15.12 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 14.72/15.12 }.
% 14.72/15.12 (21316) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 14.72/15.12 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 14.72/15.12 (21317) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 14.72/15.12 (21318) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21319) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21320) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha23( X, Y, Z ) }.
% 14.72/15.12 (21321) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21322) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21323) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21324) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 14.72/15.12 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 14.72/15.12 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 14.72/15.12 ), U, T ) }.
% 14.72/15.12 (21325) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 14.72/15.12 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 14.72/15.12 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 14.72/15.12 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 14.72/15.12 (21326) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 14.72/15.12 (21327) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21328) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21329) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha24( X, Y, Z ) }.
% 14.72/15.12 (21330) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21331) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21332) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21333) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 14.72/15.12 , skol22( X, Y ) ) }.
% 14.72/15.12 (21334) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 14.72/15.12 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 14.72/15.12 }.
% 14.72/15.12 (21335) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 14.72/15.12 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 14.72/15.12 (21336) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 14.72/15.12 (21337) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21338) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21339) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha25( X, Y, Z ) }.
% 14.72/15.12 (21340) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21341) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21342) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21343) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 14.72/15.12 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.72/15.12 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 14.72/15.12 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 14.72/15.12 (21344) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 14.72/15.12 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 14.72/15.12 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 14.72/15.12 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 14.72/15.12 ( X, trans( U ) ) ), T, Z ) }.
% 14.72/15.12 (21345) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 14.72/15.12 (21346) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21347) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21348) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha17( X, Y, Z ) }.
% 14.72/15.12 (21349) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21350) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21351) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21352) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 14.72/15.12 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 14.72/15.12 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 14.72/15.12 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 14.72/15.12 (21353) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 14.72/15.12 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 14.72/15.12 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 14.72/15.12 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 14.72/15.12 ( X, trans( W ) ) ), T, Z ) }.
% 14.72/15.12 (21354) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 14.72/15.12 (21355) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21356) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21357) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha18( X, Y, Z ) }.
% 14.72/15.12 (21358) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21359) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21360) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21361) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 14.72/15.12 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 14.72/15.12 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 14.72/15.12 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 14.72/15.12 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 14.72/15.12 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 14.72/15.12 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 14.72/15.12 ) ), trans( V0 ) ) ) ), W, U ) }.
% 14.72/15.12 (21362) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 14.72/15.12 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 14.72/15.12 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 14.72/15.12 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 14.72/15.12 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 14.72/15.12 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 14.72/15.12 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 14.72/15.12 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 14.72/15.12 ) ), W, U ) }.
% 14.72/15.12 (21363) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 14.72/15.12 (21364) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21365) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21366) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha29( X, Y, Z ) }.
% 14.72/15.12 (21367) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21368) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21369) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21370) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 14.72/15.12 ), skol26( X, Y ) ) }.
% 14.72/15.12 (21371) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 14.72/15.12 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 14.72/15.12 }.
% 14.72/15.12 (21372) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 14.72/15.12 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 14.72/15.12 (21373) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 14.72/15.12 (21374) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21375) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21376) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha30( X, Y, Z ) }.
% 14.72/15.12 (21377) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21378) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21379) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21380) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 14.72/15.12 skol27( X, Y ) ) }.
% 14.72/15.12 (21381) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 14.72/15.12 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 14.72/15.12 (21382) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3(
% 14.72/15.12 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 14.72/15.12 (21383) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 14.72/15.12 (21384) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 14.72/15.12 (21385) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 14.72/15.12 (21386) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.72/15.12 , X ), alpha28( X, Y, Z ) }.
% 14.72/15.12 (21387) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21388) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 14.72/15.12 (21389) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21390) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 14.72/15.12 (21391) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 14.72/15.12 }.
% 14.72/15.12 (21392) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 14.72/15.12 (21393) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 14.72/15.12 (21394) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 14.72/15.12 (21395) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 14.72/15.12 (21396) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 14.72/15.12 (21397) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 14.72/15.12 }.
% 14.72/15.12 (21398) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 14.72/15.12 }.
% 14.72/15.12 (21399) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 14.72/15.12 ) ) ) }.
% 14.72/15.12 (21400) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 14.72/15.12 ) ) ) }.
% 14.72/15.12 (21401) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 14.72/15.12 succ( X ) ) ) ) ) }.
% 14.72/15.12 (21402) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 14.72/15.12 succ( X ) ) ) ) ) }.
% 14.72/15.12 (21403) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 14.72/15.12 (21404) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 14.72/15.12 (21405) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 14.72/15.12 (21406) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 14.72/15.12 }.
% 14.72/15.12 (21407) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 14.72/15.12 }.
% 14.72/15.12 (21408) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 14.72/15.12 (21409) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 14.72/15.12 (21410) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 14.72/15.12 ) = T }.
% 14.72/15.12 (21411) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 14.72/15.12 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 14.72/15.12 (21412) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 14.72/15.12 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 14.72/15.12 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.72/15.12 (21413) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 14.72/15.12 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 14.72/15.12 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.72/15.12 (21414) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 14.72/15.12 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 14.72/15.12 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.72/15.12 (21415) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 14.72/15.12 (21416) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 14.72/15.12 (21417) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 14.72/15.12 , Y, Z ) }.
% 14.72/15.12 (21418) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 14.72/15.12 (21419) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 14.72/15.12 (21420) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 14.72/15.12 ) }.
% 14.72/15.12 (21421) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 14.72/15.12 }.
% 14.72/15.12 (21422) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 14.72/15.12 tptp_update2( Z, X, U ), Y ) = T }.
% 14.72/15.12 (21423) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 14.72/15.12 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 14.72/15.12 (21424) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 14.72/15.12 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 14.72/15.12 (21425) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 14.72/15.12 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 14.72/15.12 }.
% 14.72/15.12 (21426) {G0,W1,D1,L1,V0,M1} { true }.
% 14.72/15.12 (21427) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 14.72/15.12 (21428) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n0 ) = use }.
% 14.72/15.12 (21429) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n1 ) = use }.
% 14.72/15.12 (21430) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n2 ) = use }.
% 14.72/15.12 (21431) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n0 ) = use }.
% 14.72/15.12 (21432) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n1 ) = use }.
% 14.72/15.12 (21433) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n2 ) = use }.
% 14.72/15.12 (21434) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n3 ) = use }.
% 14.72/15.12 (21435) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n4 ) = use }.
% 14.72/15.12 (21436) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n5 ) = use }.
% 14.72/15.12 (21437) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n0, n0 ) = use }.
% 14.72/15.12 (21438) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n1, n0 ) = use }.
% 14.72/15.12 (21439) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n2, n0 ) = use }.
% 14.72/15.12 (21440) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n3 ) = use }.
% 14.72/15.12 (21441) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n4 ) = use }.
% 14.72/15.12 (21442) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n5 ) = use }.
% 14.72/15.12 (21443) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n0 ) = use }.
% 14.72/15.12 (21444) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n1 ) = use }.
% 14.72/15.12 (21445) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n2 ) = use }.
% 14.72/15.12 (21446) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n3 ) = use }.
% 14.72/15.12 (21447) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n4 ) = use }.
% 14.72/15.12 (21448) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n5 ) = use }.
% 14.72/15.12 (21449) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n0 ) = use
% 14.72/15.12 }.
% 14.72/15.12 (21450) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n1 ) = use
% 14.72/15.12 }.
% 14.72/15.12 (21451) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n2 ) = use
% 14.72/15.12 }.
% 14.72/15.12 (21452) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n3 ) = use
% 14.72/15.12 }.
% 14.72/15.12 (21453) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n4 ) = use
% 14.72/15.12 }.
% 14.72/15.12 (21454) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n5 ) = use
% 14.72/15.12 }.
% 14.72/15.12 (21455) {G0,W3,D2,L1,V0,M1} { leq( n0, pv5 ) }.
% 14.72/15.12 (21456) {G0,W3,D2,L1,V0,M1} { leq( pv5, n998 ) }.
% 14.72/15.12 (21457) {G0,W3,D2,L1,V0,M1} { gt( pv5, n0 ) }.
% 14.72/15.12 (21458) {G0,W19,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 14.72/15.12 n2 ), ! leq( Y, pred( pv5 ) ), a_select3( u_defuse, X, Y ) = use }.
% 14.72/15.12 (21459) {G0,W19,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 14.72/15.12 n2 ), ! leq( Y, pred( pv5 ) ), a_select3( z_defuse, X, Y ) = use }.
% 14.72/15.12 (21460) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 14.72/15.12 (21461) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 14.72/15.12 (21462) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 14.72/15.12 (21463) {G0,W4,D3,L1,V0,M1} { leq( skol29, pred( pv5 ) ) }.
% 14.72/15.12 (21464) {G0,W6,D2,L2,V0,M2} { ! n0 = skol15, ! pv5 = skol29 }.
% 14.72/15.12 (21465) {G0,W6,D2,L2,V0,M2} { ! n1 = skol15, ! pv5 = skol29 }.
% 14.72/15.12 (21466) {G0,W6,D2,L2,V0,M2} { ! n2 = skol15, ! pv5 = skol29 }.
% 14.72/15.12 (21467) {G0,W6,D3,L1,V0,M1} { ! a_select3( u_defuse, skol15, skol29 ) =
% 14.72/15.12 use }.
% 14.72/15.12 (21468) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 14.72/15.12 (21469) {G0,W3,D2,L1,V0,M1} { gt( n998, n4 ) }.
% 14.72/15.12 (21470) {G0,W3,D2,L1,V0,M1} { gt( n998, n5 ) }.
% 14.72/15.12 (21471) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 14.72/15.12 (21472) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 14.72/15.12 (21473) {G0,W3,D2,L1,V0,M1} { gt( n998, tptp_minus_1 ) }.
% 14.72/15.12 (21474) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 14.72/15.12 (21475) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 14.72/15.12 (21476) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 14.72/15.12 (21477) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 14.72/15.12 (21478) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 14.72/15.12 (21479) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 14.72/15.12 (21480) {G0,W3,D2,L1,V0,M1} { gt( n998, n0 ) }.
% 14.72/15.12 (21481) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 14.72/15.12 (21482) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 14.72/15.12 (21483) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 14.72/15.12 (21484) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 14.72/15.12 (21485) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 14.72/15.12 (21486) {G0,W3,D2,L1,V0,M1} { gt( n998, n1 ) }.
% 14.72/15.12 (21487) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 14.72/15.12 (21488) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 14.72/15.12 (21489) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 14.72/15.12 (21490) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 14.72/15.12 (21491) {G0,W3,D2,L1,V0,M1} { gt( n998, n2 ) }.
% 14.72/15.12 (21492) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 14.72/15.12 (21493) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 14.72/15.12 (21494) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 14.72/15.12 (21495) {G0,W3,D2,L1,V0,M1} { gt( n998, n3 ) }.
% 14.72/15.12 (21496) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 14.72/15.12 n1, X = n2, X = n3, X = n4 }.
% 14.72/15.12 (21497) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 14.72/15.12 n1, X = n2, X = n3, X = n4, X = n5 }.
% 14.72/15.12 (21498) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 14.72/15.12 (21499) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 14.72/15.12 n1 }.
% 14.72/15.12 (21500) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 14.72/15.12 n1, X = n2 }.
% 14.72/15.12 (21501) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 14.72/15.12 n1, X = n2, X = n3 }.
% 14.72/15.12 (21502) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 14.72/15.12 (21503) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 14.72/15.12 n5 }.
% 14.72/15.12 (21504) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 14.72/15.12 (21505) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 14.72/15.12 (21506) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 14.72/15.12
% 14.72/15.12
% 14.72/15.12 Total Proof:
% 14.72/15.12
% 14.72/15.12 subsumption: (201) {G0,W19,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( n0, Y )
% 14.72/15.12 , ! leq( X, n2 ), ! leq( Y, pred( pv5 ) ), a_select3( u_defuse, X, Y )
% 14.72/15.12 ==> use }.
% 14.72/15.12 parent0: (21458) {G0,W19,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), !
% 14.72/15.14 leq( X, n2 ), ! leq( Y, pred( pv5 ) ), a_select3( u_defuse, X, Y ) = use
% 14.72/15.14 }.
% 14.72/15.14 substitution0:
% 14.72/15.14 X := X
% 14.72/15.14 Y := Y
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 0 ==> 0
% 14.72/15.14 1 ==> 1
% 14.72/15.14 2 ==> 2
% 14.72/15.14 3 ==> 3
% 14.72/15.14 4 ==> 4
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 subsumption: (203) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 14.72/15.14 parent0: (21460) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 0 ==> 0
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 subsumption: (204) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 14.72/15.14 parent0: (21461) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 0 ==> 0
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 subsumption: (205) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 14.72/15.14 parent0: (21462) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 0 ==> 0
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 subsumption: (206) {G0,W4,D3,L1,V0,M1} I { leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent0: (21463) {G0,W4,D3,L1,V0,M1} { leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 0 ==> 0
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 subsumption: (210) {G0,W6,D3,L1,V0,M1} I { ! a_select3( u_defuse, skol15,
% 14.72/15.14 skol29 ) ==> use }.
% 14.72/15.14 parent0: (21467) {G0,W6,D3,L1,V0,M1} { ! a_select3( u_defuse, skol15,
% 14.72/15.14 skol29 ) = use }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 0 ==> 0
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 eqswap: (24918) {G0,W6,D3,L1,V0,M1} { ! use ==> a_select3( u_defuse,
% 14.72/15.14 skol15, skol29 ) }.
% 14.72/15.14 parent0[0]: (210) {G0,W6,D3,L1,V0,M1} I { ! a_select3( u_defuse, skol15,
% 14.72/15.14 skol29 ) ==> use }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 eqswap: (24919) {G0,W19,D3,L5,V2,M5} { use ==> a_select3( u_defuse, X, Y )
% 14.72/15.14 , ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, pred( pv5 ) )
% 14.72/15.14 }.
% 14.72/15.14 parent0[4]: (201) {G0,W19,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( n0, Y ),
% 14.72/15.14 ! leq( X, n2 ), ! leq( Y, pred( pv5 ) ), a_select3( u_defuse, X, Y ) ==>
% 14.72/15.14 use }.
% 14.72/15.14 substitution0:
% 14.72/15.14 X := X
% 14.72/15.14 Y := Y
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 resolution: (24920) {G1,W13,D3,L4,V0,M4} { ! leq( n0, skol15 ), ! leq( n0
% 14.72/15.14 , skol29 ), ! leq( skol15, n2 ), ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent0[0]: (24918) {G0,W6,D3,L1,V0,M1} { ! use ==> a_select3( u_defuse,
% 14.72/15.14 skol15, skol29 ) }.
% 14.72/15.14 parent1[0]: (24919) {G0,W19,D3,L5,V2,M5} { use ==> a_select3( u_defuse, X
% 14.72/15.14 , Y ), ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, pred(
% 14.72/15.14 pv5 ) ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 substitution1:
% 14.72/15.14 X := skol15
% 14.72/15.14 Y := skol29
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 resolution: (24921) {G1,W10,D3,L3,V0,M3} { ! leq( n0, skol29 ), ! leq(
% 14.72/15.14 skol15, n2 ), ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent0[0]: (24920) {G1,W13,D3,L4,V0,M4} { ! leq( n0, skol15 ), ! leq( n0
% 14.72/15.14 , skol29 ), ! leq( skol15, n2 ), ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent1[0]: (203) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 substitution1:
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 subsumption: (14358) {G1,W10,D3,L3,V0,M3} R(210,201);r(203) { ! leq( n0,
% 14.72/15.14 skol29 ), ! leq( skol15, n2 ), ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent0: (24921) {G1,W10,D3,L3,V0,M3} { ! leq( n0, skol29 ), ! leq( skol15
% 14.72/15.14 , n2 ), ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 0 ==> 0
% 14.72/15.14 1 ==> 1
% 14.72/15.14 2 ==> 2
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 resolution: (24922) {G1,W7,D3,L2,V0,M2} { ! leq( skol15, n2 ), ! leq(
% 14.72/15.14 skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent0[0]: (14358) {G1,W10,D3,L3,V0,M3} R(210,201);r(203) { ! leq( n0,
% 14.72/15.14 skol29 ), ! leq( skol15, n2 ), ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent1[0]: (204) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 substitution1:
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 resolution: (24923) {G1,W4,D3,L1,V0,M1} { ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent0[0]: (24922) {G1,W7,D3,L2,V0,M2} { ! leq( skol15, n2 ), ! leq(
% 14.72/15.14 skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent1[0]: (205) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 substitution1:
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 resolution: (24924) {G1,W0,D0,L0,V0,M0} { }.
% 14.72/15.14 parent0[0]: (24923) {G1,W4,D3,L1,V0,M1} { ! leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 parent1[0]: (206) {G0,W4,D3,L1,V0,M1} I { leq( skol29, pred( pv5 ) ) }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 substitution1:
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 subsumption: (21255) {G2,W0,D0,L0,V0,M0} S(14358);r(204);r(205);r(206) {
% 14.72/15.14 }.
% 14.72/15.14 parent0: (24924) {G1,W0,D0,L0,V0,M0} { }.
% 14.72/15.14 substitution0:
% 14.72/15.14 end
% 14.72/15.14 permutation0:
% 14.72/15.14 end
% 14.72/15.14
% 14.72/15.14 Proof check complete!
% 14.72/15.14
% 14.72/15.14 Memory use:
% 14.72/15.14
% 14.72/15.14 space for terms: 667251
% 14.72/15.14 space for clauses: 937317
% 14.72/15.14
% 14.72/15.14
% 14.72/15.14 clauses generated: 189975
% 14.72/15.14 clauses kept: 21256
% 14.72/15.14 clauses selected: 1029
% 14.72/15.14 clauses deleted: 927
% 14.72/15.14 clauses inuse deleted: 12
% 14.72/15.14
% 14.72/15.14 subsentry: 451716
% 14.72/15.14 literals s-matched: 155584
% 14.72/15.14 literals matched: 135409
% 14.72/15.14 full subsumption: 105928
% 14.72/15.14
% 14.72/15.14 checksum: 1389020464
% 14.72/15.14
% 14.72/15.14
% 14.72/15.14 Bliksem ended
%------------------------------------------------------------------------------