TSTP Solution File: SWV206+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV206+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 16:22:56 EDT 2022
% Result : Theorem 14.68s 15.04s
% Output : Refutation 14.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV206+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 15:28:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/1.15 *** allocated 10000 integers for termspace/termends
% 0.77/1.15 *** allocated 10000 integers for clauses
% 0.77/1.15 *** allocated 10000 integers for justifications
% 0.77/1.15 Bliksem 1.12
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Automatic Strategy Selection
% 0.77/1.15
% 0.77/1.15 *** allocated 15000 integers for termspace/termends
% 0.77/1.15
% 0.77/1.15 Clauses:
% 0.77/1.15
% 0.77/1.15 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.77/1.15 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.77/1.15 { ! gt( X, X ) }.
% 0.77/1.15 { leq( X, X ) }.
% 0.77/1.15 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.77/1.15 { ! lt( X, Y ), gt( Y, X ) }.
% 0.77/1.15 { ! gt( Y, X ), lt( X, Y ) }.
% 0.77/1.15 { ! geq( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( Y, X ), geq( X, Y ) }.
% 0.77/1.15 { ! gt( Y, X ), leq( X, Y ) }.
% 0.77/1.15 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.77/1.15 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.77/1.15 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.77/1.15 { gt( succ( X ), X ) }.
% 0.77/1.15 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.77/1.15 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.77/1.15 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.77/1.15 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.77/1.15 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.77/1.15 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.77/1.15 T ), X ) = T }.
% 0.77/1.15 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.77/1.15 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.77/1.15 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.77/1.15 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.77/1.15 a_select3( trans( X ), T, Z ) }.
% 0.77/1.15 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.77/1.15 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.77/1.15 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.77/1.15 ) }.
% 0.77/1.15 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.77/1.15 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.77/1.15 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.77/1.15 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.77/1.15 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.77/1.15 a_select3( inv( X ), T, Z ) }.
% 0.77/1.15 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.77/1.15 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.77/1.15 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.77/1.15 .
% 0.77/1.15 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.77/1.15 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.77/1.15 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.77/1.15 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.77/1.15 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.77/1.15 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.77/1.15 X, U, U, W ), T, Z ) }.
% 0.77/1.15 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.77/1.15 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.77/1.15 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.77/1.15 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.77/1.15 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.77/1.15 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.77/1.15 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.77/1.15 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.77/1.15 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.77/1.15 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.77/1.15 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.77/1.15 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.77/1.15 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.77/1.15 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.77/1.15 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.77/1.15 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.77/1.15 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.77/1.15 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.77/1.15 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.77/1.15 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.77/1.15 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.77/1.15 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.77/1.15 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.77/1.15 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.77/1.15 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.77/1.15 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.77/1.15 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.77/1.15 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.77/1.15 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.77/1.15 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.77/1.15 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.77/1.15 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.77/1.15 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.77/1.15 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.77/1.15 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.77/1.15 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.77/1.15 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.77/1.15 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.77/1.15 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.77/1.15 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.77/1.15 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.77/1.15 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.77/1.15 U ) ) ), T, Z ) }.
% 0.77/1.15 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.77/1.15 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.77/1.15 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.77/1.15 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.77/1.15 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.77/1.15 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.77/1.15 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.77/1.15 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.77/1.15 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.77/1.15 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.77/1.15 W ) ) ), T, Z ) }.
% 0.77/1.15 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.77/1.15 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.77/1.15 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.77/1.15 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.77/1.15 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.77/1.15 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.77/1.15 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.77/1.15 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.77/1.15 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.77/1.15 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.77/1.15 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.77/1.15 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.77/1.15 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.77/1.15 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.77/1.15 ) }.
% 0.77/1.15 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.77/1.15 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.77/1.15 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.77/1.15 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.77/1.15 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.77/1.15 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.77/1.15 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.77/1.15 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.77/1.15 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.77/1.15 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.77/1.15 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.77/1.15 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.77/1.15 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.77/1.15 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.77/1.15 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.77/1.15 alpha19( X, Y ) }.
% 0.77/1.15 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.77/1.15 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.77/1.15 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.77/1.15 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.77/1.15 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.77/1.15 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.77/1.15 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.77/1.15 ), alpha8( X ) }.
% 0.77/1.15 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.77/1.15 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.77/1.15 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.77/1.15 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.77/1.15 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.77/1.15 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.77/1.15 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.77/1.15 { succ( tptp_minus_1 ) = n0 }.
% 0.77/1.15 { plus( X, n1 ) = succ( X ) }.
% 0.77/1.15 { plus( n1, X ) = succ( X ) }.
% 0.77/1.15 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.77/1.15 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.77/1.15 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.77/1.15 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.77/1.15 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.77/1.15 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.77/1.15 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.77/1.15 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.77/1.15 { minus( X, n1 ) = pred( X ) }.
% 0.77/1.15 { pred( succ( X ) ) = X }.
% 0.77/1.15 { succ( pred( X ) ) = X }.
% 0.77/1.15 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.77/1.15 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.77/1.15 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.77/1.15 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.77/1.15 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.77/1.15 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.77/1.15 , Y, V0 ), Z, T ) = W }.
% 0.77/1.15 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.77/1.15 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.77/1.15 }.
% 0.77/1.15 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.77/1.15 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.77/1.15 U, Z, T, W ), X, Y ) = W }.
% 0.77/1.15 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.77/1.15 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.77/1.15 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.77/1.15 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.77/1.15 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.77/1.15 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.77/1.15 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.77/1.15 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.77/1.15 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.77/1.15 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.77/1.15 T }.
% 0.77/1.15 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.77/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.77/1.15 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.77/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.77/1.15 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.77/1.15 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.77/1.15 { true }.
% 0.77/1.15 { ! def = use }.
% 0.77/1.15 { a_select2( rho_defuse, n0 ) = use }.
% 0.77/1.15 { a_select2( rho_defuse, n1 ) = use }.
% 0.77/1.15 { a_select2( rho_defuse, n2 ) = use }.
% 0.77/1.15 { a_select2( sigma_defuse, n0 ) = use }.
% 0.77/1.15 { a_select2( sigma_defuse, n1 ) = use }.
% 0.77/1.15 { a_select2( sigma_defuse, n2 ) = use }.
% 0.77/1.15 { a_select2( sigma_defuse, n3 ) = use }.
% 0.77/1.15 { a_select2( sigma_defuse, n4 ) = use }.
% 0.77/1.15 { a_select2( sigma_defuse, n5 ) = use }.
% 0.77/1.15 { a_select3( u_defuse, n0, n0 ) = use }.
% 0.77/1.15 { a_select3( u_defuse, n1, n0 ) = use }.
% 0.77/1.15 { a_select3( u_defuse, n2, n0 ) = use }.
% 0.77/1.15 { a_select2( xinit_defuse, n3 ) = use }.
% 0.77/1.15 { a_select2( xinit_defuse, n4 ) = use }.
% 0.77/1.15 { a_select2( xinit_defuse, n5 ) = use }.
% 0.77/1.15 { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.77/1.15 { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.77/1.15 { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.77/1.15 { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.77/1.15 { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.77/1.15 { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.77/1.15 { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.77/1.15 { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.77/1.15 { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.77/1.15 { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.77/1.15 { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.77/1.15 { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, n998 ),
% 0.77/1.15 a_select3( u_defuse, X, Y ) = use }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, n998 ),
% 0.77/1.15 a_select3( z_defuse, X, Y ) = use }.
% 0.77/1.15 { leq( n0, skol15 ) }.
% 0.77/1.15 { leq( n0, skol29 ) }.
% 0.77/1.15 { leq( skol15, n2 ) }.
% 0.77/1.15 { leq( skol29, n998 ) }.
% 0.77/1.15 { ! a_select3( u_defuse, skol15, skol29 ) = use }.
% 0.77/1.15 { gt( n5, n4 ) }.
% 0.77/1.15 { gt( n998, n4 ) }.
% 0.77/1.15 { gt( n998, n5 ) }.
% 0.77/1.15 { gt( n4, tptp_minus_1 ) }.
% 0.77/1.15 { gt( n5, tptp_minus_1 ) }.
% 0.77/1.15 { gt( n998, tptp_minus_1 ) }.
% 0.77/1.15 { gt( n0, tptp_minus_1 ) }.
% 0.77/1.15 { gt( n1, tptp_minus_1 ) }.
% 0.77/1.15 { gt( n2, tptp_minus_1 ) }.
% 0.77/1.15 { gt( n3, tptp_minus_1 ) }.
% 0.77/1.15 { gt( n4, n0 ) }.
% 0.77/1.15 { gt( n5, n0 ) }.
% 0.77/1.15 { gt( n998, n0 ) }.
% 0.77/1.15 { gt( n1, n0 ) }.
% 0.77/1.15 { gt( n2, n0 ) }.
% 0.77/1.15 { gt( n3, n0 ) }.
% 0.77/1.15 { gt( n4, n1 ) }.
% 0.77/1.15 { gt( n5, n1 ) }.
% 0.77/1.15 { gt( n998, n1 ) }.
% 0.77/1.15 { gt( n2, n1 ) }.
% 0.77/1.15 { gt( n3, n1 ) }.
% 0.77/1.15 { gt( n4, n2 ) }.
% 0.77/1.15 { gt( n5, n2 ) }.
% 0.77/1.15 { gt( n998, n2 ) }.
% 0.77/1.15 { gt( n3, n2 ) }.
% 0.77/1.15 { gt( n4, n3 ) }.
% 0.77/1.15 { gt( n5, n3 ) }.
% 0.77/1.15 { gt( n998, n3 ) }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.77/1.15 .
% 0.77/1.15 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.77/1.15 = n5 }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.77/1.15 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.77/1.15 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.77/1.15 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.77/1.15 { succ( n0 ) = n1 }.
% 0.77/1.15 { succ( succ( n0 ) ) = n2 }.
% 0.77/1.15 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.77/1.15
% 0.77/1.15 *** allocated 15000 integers for clauses
% 0.77/1.15 percentage equality = 0.219512, percentage horn = 0.885246
% 0.77/1.15 This is a problem with some equality
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Options Used:
% 0.77/1.15
% 0.77/1.15 useres = 1
% 0.77/1.15 useparamod = 1
% 0.77/1.15 useeqrefl = 1
% 0.77/1.15 useeqfact = 1
% 0.77/1.15 usefactor = 1
% 0.77/1.15 usesimpsplitting = 0
% 0.77/1.15 usesimpdemod = 5
% 0.77/1.15 usesimpres = 3
% 0.77/1.15
% 0.77/1.15 resimpinuse = 1000
% 0.77/1.15 resimpclauses = 20000
% 0.77/1.15 substype = eqrewr
% 0.77/1.15 backwardsubs = 1
% 0.77/1.15 selectoldest = 5
% 0.77/1.15
% 0.77/1.15 litorderings [0] = split
% 0.77/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.15
% 0.77/1.15 termordering = kbo
% 0.77/1.15
% 0.77/1.15 litapriori = 0
% 0.77/1.15 termapriori = 1
% 0.77/1.15 litaposteriori = 0
% 0.77/1.15 termaposteriori = 0
% 0.77/1.15 demodaposteriori = 0
% 0.77/1.15 ordereqreflfact = 0
% 0.77/1.15
% 0.77/1.15 litselect = negord
% 11.06/11.42
% 11.06/11.42 maxweight = 15
% 11.06/11.42 maxdepth = 30000
% 11.06/11.42 maxlength = 115
% 11.06/11.42 maxnrvars = 195
% 11.06/11.42 excuselevel = 1
% 11.06/11.42 increasemaxweight = 1
% 11.06/11.42
% 11.06/11.42 maxselected = 10000000
% 11.06/11.42 maxnrclauses = 10000000
% 11.06/11.42
% 11.06/11.42 showgenerated = 0
% 11.06/11.42 showkept = 0
% 11.06/11.42 showselected = 0
% 11.06/11.42 showdeleted = 0
% 11.06/11.42 showresimp = 1
% 11.06/11.42 showstatus = 2000
% 11.06/11.42
% 11.06/11.42 prologoutput = 0
% 11.06/11.42 nrgoals = 5000000
% 11.06/11.42 totalproof = 1
% 11.06/11.42
% 11.06/11.42 Symbols occurring in the translation:
% 11.06/11.42
% 11.06/11.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 11.06/11.42 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 11.06/11.42 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 11.06/11.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.06/11.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 11.06/11.42 gt [37, 2] (w:1, o:89, a:1, s:1, b:0),
% 11.06/11.42 leq [39, 2] (w:1, o:90, a:1, s:1, b:0),
% 11.06/11.42 lt [40, 2] (w:1, o:91, a:1, s:1, b:0),
% 11.06/11.42 geq [41, 2] (w:1, o:92, a:1, s:1, b:0),
% 11.06/11.42 pred [42, 1] (w:1, o:59, a:1, s:1, b:0),
% 11.06/11.42 succ [43, 1] (w:1, o:60, a:1, s:1, b:0),
% 11.06/11.42 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 11.06/11.42 uniform_int_rnd [46, 2] (w:1, o:121, a:1, s:1, b:0),
% 11.06/11.42 dim [51, 2] (w:1, o:122, a:1, s:1, b:0),
% 11.06/11.42 tptp_const_array1 [52, 2] (w:1, o:117, a:1, s:1, b:0),
% 11.06/11.42 a_select2 [53, 2] (w:1, o:123, a:1, s:1, b:0),
% 11.06/11.42 tptp_const_array2 [59, 3] (w:1, o:144, a:1, s:1, b:0),
% 11.06/11.42 a_select3 [60, 3] (w:1, o:145, a:1, s:1, b:0),
% 11.06/11.42 trans [63, 1] (w:1, o:62, a:1, s:1, b:0),
% 11.06/11.42 inv [64, 1] (w:1, o:63, a:1, s:1, b:0),
% 11.06/11.42 tptp_update3 [67, 4] (w:1, o:162, a:1, s:1, b:0),
% 11.06/11.42 tptp_madd [69, 2] (w:1, o:118, a:1, s:1, b:0),
% 11.06/11.42 tptp_msub [70, 2] (w:1, o:119, a:1, s:1, b:0),
% 11.06/11.42 tptp_mmul [71, 2] (w:1, o:120, a:1, s:1, b:0),
% 11.06/11.42 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 11.06/11.42 sum [78, 3] (w:1, o:142, a:1, s:1, b:0),
% 11.06/11.42 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 11.06/11.42 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 11.06/11.42 plus [81, 2] (w:1, o:124, a:1, s:1, b:0),
% 11.06/11.42 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 11.06/11.42 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 11.06/11.42 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 11.06/11.42 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 11.06/11.42 minus [86, 2] (w:1, o:125, a:1, s:1, b:0),
% 11.06/11.42 tptp_update2 [91, 3] (w:1, o:146, a:1, s:1, b:0),
% 11.06/11.42 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 11.06/11.42 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 11.06/11.42 use [94, 0] (w:1, o:46, a:1, s:1, b:0),
% 11.06/11.42 rho_defuse [95, 0] (w:1, o:47, a:1, s:1, b:0),
% 11.06/11.42 sigma_defuse [96, 0] (w:1, o:32, a:1, s:1, b:0),
% 11.06/11.42 u_defuse [97, 0] (w:1, o:48, a:1, s:1, b:0),
% 11.06/11.42 xinit_defuse [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 11.06/11.42 xinit_mean_defuse [99, 0] (w:1, o:50, a:1, s:1, b:0),
% 11.06/11.42 xinit_noise_defuse [100, 0] (w:1, o:51, a:1, s:1, b:0),
% 11.06/11.42 n998 [101, 0] (w:1, o:52, a:1, s:1, b:0),
% 11.06/11.42 z_defuse [102, 0] (w:1, o:53, a:1, s:1, b:0),
% 11.06/11.42 alpha1 [103, 2] (w:1, o:126, a:1, s:1, b:1),
% 11.06/11.42 alpha2 [104, 2] (w:1, o:132, a:1, s:1, b:1),
% 11.06/11.42 alpha3 [105, 2] (w:1, o:136, a:1, s:1, b:1),
% 11.06/11.42 alpha4 [106, 2] (w:1, o:137, a:1, s:1, b:1),
% 11.06/11.42 alpha5 [107, 2] (w:1, o:138, a:1, s:1, b:1),
% 11.06/11.42 alpha6 [108, 2] (w:1, o:139, a:1, s:1, b:1),
% 11.06/11.42 alpha7 [109, 2] (w:1, o:140, a:1, s:1, b:1),
% 11.06/11.42 alpha8 [110, 1] (w:1, o:64, a:1, s:1, b:1),
% 11.06/11.42 alpha9 [111, 2] (w:1, o:141, a:1, s:1, b:1),
% 11.06/11.42 alpha10 [112, 3] (w:1, o:147, a:1, s:1, b:1),
% 11.06/11.42 alpha11 [113, 3] (w:1, o:148, a:1, s:1, b:1),
% 11.06/11.42 alpha12 [114, 3] (w:1, o:149, a:1, s:1, b:1),
% 11.06/11.42 alpha13 [115, 2] (w:1, o:127, a:1, s:1, b:1),
% 11.06/11.42 alpha14 [116, 2] (w:1, o:128, a:1, s:1, b:1),
% 11.06/11.42 alpha15 [117, 2] (w:1, o:129, a:1, s:1, b:1),
% 11.06/11.42 alpha16 [118, 2] (w:1, o:130, a:1, s:1, b:1),
% 11.06/11.42 alpha17 [119, 3] (w:1, o:150, a:1, s:1, b:1),
% 11.06/11.42 alpha18 [120, 3] (w:1, o:151, a:1, s:1, b:1),
% 11.06/11.42 alpha19 [121, 2] (w:1, o:131, a:1, s:1, b:1),
% 11.06/11.42 alpha20 [122, 2] (w:1, o:133, a:1, s:1, b:1),
% 11.06/11.42 alpha21 [123, 3] (w:1, o:152, a:1, s:1, b:1),
% 11.06/11.42 alpha22 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 11.06/11.42 alpha23 [125, 3] (w:1, o:154, a:1, s:1, b:1),
% 11.06/11.42 alpha24 [126, 3] (w:1, o:155, a:1, s:1, b:1),
% 11.06/11.42 alpha25 [127, 3] (w:1, o:156, a:1, s:1, b:1),
% 14.68/15.04 alpha26 [128, 2] (w:1, o:134, a:1, s:1, b:1),
% 14.68/15.04 alpha27 [129, 2] (w:1, o:135, a:1, s:1, b:1),
% 14.68/15.04 alpha28 [130, 3] (w:1, o:157, a:1, s:1, b:1),
% 14.68/15.04 alpha29 [131, 3] (w:1, o:158, a:1, s:1, b:1),
% 14.68/15.04 alpha30 [132, 3] (w:1, o:159, a:1, s:1, b:1),
% 14.68/15.04 skol1 [133, 2] (w:1, o:93, a:1, s:1, b:1),
% 14.68/15.04 skol2 [134, 2] (w:1, o:101, a:1, s:1, b:1),
% 14.68/15.04 skol3 [135, 2] (w:1, o:110, a:1, s:1, b:1),
% 14.68/15.04 skol4 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 14.68/15.04 skol5 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 14.68/15.04 skol6 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 14.68/15.04 skol7 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 14.68/15.04 skol8 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 14.68/15.04 skol9 [141, 2] (w:1, o:116, a:1, s:1, b:1),
% 14.68/15.04 skol10 [142, 2] (w:1, o:94, a:1, s:1, b:1),
% 14.68/15.04 skol11 [143, 2] (w:1, o:95, a:1, s:1, b:1),
% 14.68/15.04 skol12 [144, 2] (w:1, o:96, a:1, s:1, b:1),
% 14.68/15.04 skol13 [145, 4] (w:1, o:160, a:1, s:1, b:1),
% 14.68/15.04 skol14 [146, 3] (w:1, o:143, a:1, s:1, b:1),
% 14.68/15.04 skol15 [147, 0] (w:1, o:33, a:1, s:1, b:1),
% 14.68/15.04 skol16 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 14.68/15.04 skol17 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 14.68/15.04 skol18 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 14.68/15.04 skol19 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 14.68/15.04 skol20 [152, 2] (w:1, o:102, a:1, s:1, b:1),
% 14.68/15.04 skol21 [153, 2] (w:1, o:103, a:1, s:1, b:1),
% 14.68/15.04 skol22 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 14.68/15.04 skol23 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 14.68/15.04 skol24 [156, 2] (w:1, o:106, a:1, s:1, b:1),
% 14.68/15.04 skol25 [157, 2] (w:1, o:107, a:1, s:1, b:1),
% 14.68/15.04 skol26 [158, 2] (w:1, o:108, a:1, s:1, b:1),
% 14.68/15.04 skol27 [159, 2] (w:1, o:109, a:1, s:1, b:1),
% 14.68/15.04 skol28 [160, 4] (w:1, o:161, a:1, s:1, b:1),
% 14.68/15.04 skol29 [161, 0] (w:1, o:34, a:1, s:1, b:1),
% 14.68/15.04 skol30 [162, 1] (w:1, o:61, a:1, s:1, b:1).
% 14.68/15.04
% 14.68/15.04
% 14.68/15.04 Starting Search:
% 14.68/15.04
% 14.68/15.04 *** allocated 22500 integers for clauses
% 14.68/15.04 *** allocated 33750 integers for clauses
% 14.68/15.04 *** allocated 22500 integers for termspace/termends
% 14.68/15.04 *** allocated 50625 integers for clauses
% 14.68/15.04 *** allocated 75937 integers for clauses
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 33750 integers for termspace/termends
% 14.68/15.04 *** allocated 113905 integers for clauses
% 14.68/15.04 *** allocated 50625 integers for termspace/termends
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 7988
% 14.68/15.04 Kept: 2068
% 14.68/15.04 Inuse: 171
% 14.68/15.04 Deleted: 0
% 14.68/15.04 Deletedinuse: 0
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 170857 integers for clauses
% 14.68/15.04 *** allocated 75937 integers for termspace/termends
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 113905 integers for termspace/termends
% 14.68/15.04 *** allocated 256285 integers for clauses
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 16094
% 14.68/15.04 Kept: 4069
% 14.68/15.04 Inuse: 326
% 14.68/15.04 Deleted: 0
% 14.68/15.04 Deletedinuse: 0
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 170857 integers for termspace/termends
% 14.68/15.04 *** allocated 384427 integers for clauses
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 23263
% 14.68/15.04 Kept: 6078
% 14.68/15.04 Inuse: 456
% 14.68/15.04 Deleted: 0
% 14.68/15.04 Deletedinuse: 0
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 256285 integers for termspace/termends
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 31446
% 14.68/15.04 Kept: 8132
% 14.68/15.04 Inuse: 551
% 14.68/15.04 Deleted: 0
% 14.68/15.04 Deletedinuse: 0
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 576640 integers for clauses
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 36133
% 14.68/15.04 Kept: 10154
% 14.68/15.04 Inuse: 670
% 14.68/15.04 Deleted: 0
% 14.68/15.04 Deletedinuse: 0
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 384427 integers for termspace/termends
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 44405
% 14.68/15.04 Kept: 12223
% 14.68/15.04 Inuse: 795
% 14.68/15.04 Deleted: 13
% 14.68/15.04 Deletedinuse: 12
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 864960 integers for clauses
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 576640 integers for termspace/termends
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 83267
% 14.68/15.04 Kept: 15775
% 14.68/15.04 Inuse: 984
% 14.68/15.04 Deleted: 14
% 14.68/15.04 Deletedinuse: 12
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 148684
% 14.68/15.04 Kept: 18199
% 14.68/15.04 Inuse: 999
% 14.68/15.04 Deleted: 14
% 14.68/15.04 Deletedinuse: 12
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 864960 integers for termspace/termends
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 *** allocated 1297440 integers for clauses
% 14.68/15.04
% 14.68/15.04 Intermediate Status:
% 14.68/15.04 Generated: 186340
% 14.68/15.04 Kept: 20325
% 14.68/15.04 Inuse: 1009
% 14.68/15.04 Deleted: 14
% 14.68/15.04 Deletedinuse: 12
% 14.68/15.04
% 14.68/15.04 Resimplifying inuse:
% 14.68/15.04 Done
% 14.68/15.04
% 14.68/15.04 Resimplifying clauses:
% 14.68/15.04
% 14.68/15.04 Bliksems!, er is een bewijs:
% 14.68/15.04 % SZS status Theorem
% 14.68/15.04 % SZS output start Refutation
% 14.68/15.04
% 14.68/15.04 (198) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2
% 14.68/15.04 ), ! leq( Y, n998 ), a_select3( u_defuse, X, Y ) ==> use }.
% 14.68/15.04 (200) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 14.68/15.04 (201) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 14.68/15.04 (202) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 14.68/15.04 (203) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n998 ) }.
% 14.68/15.04 (204) {G0,W6,D3,L1,V0,M1} I { ! a_select3( u_defuse, skol15, skol29 ) ==>
% 14.68/15.04 use }.
% 14.68/15.04 (14116) {G1,W9,D2,L3,V0,M3} R(204,198);r(200) { ! leq( n0, skol29 ), ! leq
% 14.68/15.04 ( skol15, n2 ), ! leq( skol29, n998 ) }.
% 14.68/15.04 (20555) {G2,W0,D0,L0,V0,M0} S(14116);r(201);r(202);r(203) { }.
% 14.68/15.04
% 14.68/15.04
% 14.68/15.04 % SZS output end Refutation
% 14.68/15.04 found a proof!
% 14.68/15.04
% 14.68/15.04
% 14.68/15.04 Unprocessed initial clauses:
% 14.68/15.04
% 14.68/15.04 (20557) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 14.68/15.04 (20558) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 14.68/15.04 (20559) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 14.68/15.04 (20560) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 14.68/15.04 (20561) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 14.68/15.04 }.
% 14.68/15.04 (20562) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 14.68/15.04 (20563) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 14.68/15.04 (20564) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20565) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 14.68/15.04 (20566) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 14.68/15.04 (20567) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 14.68/15.04 (20568) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 14.68/15.04 (20569) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 14.68/15.04 (20570) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 14.68/15.04 (20571) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 14.68/15.04 (20572) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 14.68/15.04 (20573) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 14.68/15.04 (20574) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 14.68/15.04 , X ) }.
% 14.68/15.04 (20575) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 14.68/15.04 , X ) ) }.
% 14.68/15.04 (20576) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 14.68/15.04 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 14.68/15.04 (20577) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 14.68/15.04 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 14.68/15.04 V0 ), X, T ) = V0 }.
% 14.68/15.04 (20578) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 14.68/15.04 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.68/15.04 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 14.68/15.04 (20579) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 14.68/15.04 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 14.68/15.04 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 14.68/15.04 = a_select3( trans( X ), T, Z ) }.
% 14.68/15.04 (20580) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 14.68/15.04 (20581) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20582) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20583) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha10( X, Y, Z ) }.
% 14.68/15.04 (20584) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20585) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20586) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20587) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 14.68/15.04 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.68/15.04 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 14.68/15.04 (20588) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 14.68/15.04 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 14.68/15.04 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 14.68/15.04 a_select3( inv( X ), T, Z ) }.
% 14.68/15.04 (20589) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 14.68/15.04 (20590) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20591) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20592) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha11( X, Y, Z ) }.
% 14.68/15.04 (20593) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20594) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20595) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20596) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 14.68/15.04 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 14.68/15.04 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 14.68/15.04 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 14.68/15.04 (20597) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 14.68/15.04 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 14.68/15.04 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 14.68/15.04 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 14.68/15.04 ( X, U, U, W ), T, Z ) }.
% 14.68/15.04 (20598) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 14.68/15.04 (20599) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20600) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20601) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha12( X, Y, Z ) }.
% 14.68/15.04 (20602) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20603) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20604) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20605) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 14.68/15.04 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 14.68/15.04 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 14.68/15.04 ), U, T ) }.
% 14.68/15.04 (20606) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 14.68/15.04 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 14.68/15.04 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 14.68/15.04 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 14.68/15.04 (20607) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 14.68/15.04 (20608) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20609) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20610) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha22( X, Y, Z ) }.
% 14.68/15.04 (20611) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20612) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20613) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20614) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 14.68/15.04 , skol20( X, Y ) ) }.
% 14.68/15.04 (20615) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 14.68/15.04 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 14.68/15.04 }.
% 14.68/15.04 (20616) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 14.68/15.04 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 14.68/15.04 (20617) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 14.68/15.04 (20618) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20619) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20620) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha23( X, Y, Z ) }.
% 14.68/15.04 (20621) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20622) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20623) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20624) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 14.68/15.04 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 14.68/15.04 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 14.68/15.04 ), U, T ) }.
% 14.68/15.04 (20625) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 14.68/15.04 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 14.68/15.04 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 14.68/15.04 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 14.68/15.04 (20626) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 14.68/15.04 (20627) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20628) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20629) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha24( X, Y, Z ) }.
% 14.68/15.04 (20630) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20631) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20632) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20633) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 14.68/15.04 , skol22( X, Y ) ) }.
% 14.68/15.04 (20634) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 14.68/15.04 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 14.68/15.04 }.
% 14.68/15.04 (20635) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 14.68/15.04 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 14.68/15.04 (20636) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 14.68/15.04 (20637) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20638) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20639) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha25( X, Y, Z ) }.
% 14.68/15.04 (20640) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20641) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20642) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20643) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 14.68/15.04 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 14.68/15.04 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 14.68/15.04 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 14.68/15.04 (20644) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 14.68/15.04 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 14.68/15.04 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 14.68/15.04 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 14.68/15.04 ( X, trans( U ) ) ), T, Z ) }.
% 14.68/15.04 (20645) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 14.68/15.04 (20646) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20647) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20648) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha17( X, Y, Z ) }.
% 14.68/15.04 (20649) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20650) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20651) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20652) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 14.68/15.04 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 14.68/15.04 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 14.68/15.04 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 14.68/15.04 (20653) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 14.68/15.04 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 14.68/15.04 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 14.68/15.04 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 14.68/15.04 ( X, trans( W ) ) ), T, Z ) }.
% 14.68/15.04 (20654) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 14.68/15.04 (20655) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20656) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20657) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha18( X, Y, Z ) }.
% 14.68/15.04 (20658) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20659) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20660) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20661) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 14.68/15.04 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 14.68/15.04 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 14.68/15.04 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 14.68/15.04 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 14.68/15.04 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 14.68/15.04 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 14.68/15.04 ) ), trans( V0 ) ) ) ), W, U ) }.
% 14.68/15.04 (20662) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 14.68/15.04 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 14.68/15.04 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 14.68/15.04 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 14.68/15.04 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 14.68/15.04 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 14.68/15.04 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 14.68/15.04 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 14.68/15.04 ) ), W, U ) }.
% 14.68/15.04 (20663) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 14.68/15.04 (20664) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20665) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20666) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha29( X, Y, Z ) }.
% 14.68/15.04 (20667) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20668) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20669) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20670) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 14.68/15.04 ), skol26( X, Y ) ) }.
% 14.68/15.04 (20671) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 14.68/15.04 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 14.68/15.04 }.
% 14.68/15.04 (20672) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 14.68/15.04 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 14.68/15.04 (20673) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 14.68/15.04 (20674) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20675) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20676) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha30( X, Y, Z ) }.
% 14.68/15.04 (20677) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20678) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20679) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20680) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 14.68/15.04 skol27( X, Y ) ) }.
% 14.68/15.04 (20681) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 14.68/15.04 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 14.68/15.04 (20682) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3(
% 14.68/15.04 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 14.68/15.04 (20683) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 14.68/15.04 (20684) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 14.68/15.04 (20685) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 14.68/15.04 (20686) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 14.68/15.04 , X ), alpha28( X, Y, Z ) }.
% 14.68/15.04 (20687) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20688) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 14.68/15.04 (20689) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20690) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 14.68/15.04 (20691) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 14.68/15.04 }.
% 14.68/15.04 (20692) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 14.68/15.04 (20693) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 14.68/15.04 (20694) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 14.68/15.04 (20695) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 14.68/15.04 (20696) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 14.68/15.04 (20697) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 14.68/15.04 }.
% 14.68/15.04 (20698) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 14.68/15.04 }.
% 14.68/15.04 (20699) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 14.68/15.04 ) ) ) }.
% 14.68/15.04 (20700) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 14.68/15.04 ) ) ) }.
% 14.68/15.04 (20701) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 14.68/15.04 succ( X ) ) ) ) ) }.
% 14.68/15.04 (20702) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 14.68/15.04 succ( X ) ) ) ) ) }.
% 14.68/15.04 (20703) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 14.68/15.04 (20704) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 14.68/15.04 (20705) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 14.68/15.04 (20706) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 14.68/15.04 }.
% 14.68/15.04 (20707) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 14.68/15.04 }.
% 14.68/15.04 (20708) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 14.68/15.04 (20709) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 14.68/15.04 (20710) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 14.68/15.04 ) = T }.
% 14.68/15.04 (20711) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 14.68/15.04 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 14.68/15.04 (20712) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 14.68/15.04 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 14.68/15.04 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.68/15.04 (20713) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 14.68/15.04 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 14.68/15.04 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.68/15.04 (20714) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 14.68/15.04 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 14.68/15.04 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 14.68/15.04 (20715) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 14.68/15.04 (20716) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 14.68/15.04 (20717) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 14.68/15.04 , Y, Z ) }.
% 14.68/15.04 (20718) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 14.68/15.04 (20719) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 14.68/15.04 (20720) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 14.68/15.04 ) }.
% 14.68/15.04 (20721) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 14.68/15.04 }.
% 14.68/15.04 (20722) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 14.68/15.04 tptp_update2( Z, X, U ), Y ) = T }.
% 14.68/15.04 (20723) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 14.68/15.04 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 14.68/15.04 (20724) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 14.68/15.04 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 14.68/15.04 (20725) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 14.68/15.04 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 14.68/15.04 }.
% 14.68/15.04 (20726) {G0,W1,D1,L1,V0,M1} { true }.
% 14.68/15.04 (20727) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 14.68/15.04 (20728) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n0 ) = use }.
% 14.68/15.04 (20729) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n1 ) = use }.
% 14.68/15.04 (20730) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n2 ) = use }.
% 14.68/15.04 (20731) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n0 ) = use }.
% 14.68/15.04 (20732) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n1 ) = use }.
% 14.68/15.04 (20733) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n2 ) = use }.
% 14.68/15.04 (20734) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n3 ) = use }.
% 14.68/15.04 (20735) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n4 ) = use }.
% 14.68/15.04 (20736) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n5 ) = use }.
% 14.68/15.04 (20737) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n0, n0 ) = use }.
% 14.68/15.04 (20738) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n1, n0 ) = use }.
% 14.68/15.04 (20739) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n2, n0 ) = use }.
% 14.68/15.04 (20740) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n3 ) = use }.
% 14.68/15.04 (20741) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n4 ) = use }.
% 14.68/15.04 (20742) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n5 ) = use }.
% 14.68/15.04 (20743) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n0 ) = use }.
% 14.68/15.04 (20744) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n1 ) = use }.
% 14.68/15.04 (20745) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n2 ) = use }.
% 14.68/15.04 (20746) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n3 ) = use }.
% 14.68/15.04 (20747) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n4 ) = use }.
% 14.68/15.04 (20748) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n5 ) = use }.
% 14.68/15.04 (20749) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n0 ) = use
% 14.68/15.04 }.
% 14.68/15.04 (20750) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n1 ) = use
% 14.68/15.06 }.
% 14.68/15.06 (20751) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n2 ) = use
% 14.68/15.06 }.
% 14.68/15.06 (20752) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n3 ) = use
% 14.68/15.06 }.
% 14.68/15.06 (20753) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n4 ) = use
% 14.68/15.06 }.
% 14.68/15.06 (20754) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n5 ) = use
% 14.68/15.06 }.
% 14.68/15.06 (20755) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 14.68/15.06 n2 ), ! leq( Y, n998 ), a_select3( u_defuse, X, Y ) = use }.
% 14.68/15.06 (20756) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 14.68/15.06 n2 ), ! leq( Y, n998 ), a_select3( z_defuse, X, Y ) = use }.
% 14.68/15.06 (20757) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 14.68/15.06 (20758) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 14.68/15.06 (20759) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 14.68/15.06 (20760) {G0,W3,D2,L1,V0,M1} { leq( skol29, n998 ) }.
% 14.68/15.06 (20761) {G0,W6,D3,L1,V0,M1} { ! a_select3( u_defuse, skol15, skol29 ) =
% 14.68/15.06 use }.
% 14.68/15.06 (20762) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 14.68/15.06 (20763) {G0,W3,D2,L1,V0,M1} { gt( n998, n4 ) }.
% 14.68/15.06 (20764) {G0,W3,D2,L1,V0,M1} { gt( n998, n5 ) }.
% 14.68/15.06 (20765) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 14.68/15.06 (20766) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 14.68/15.06 (20767) {G0,W3,D2,L1,V0,M1} { gt( n998, tptp_minus_1 ) }.
% 14.68/15.06 (20768) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 14.68/15.06 (20769) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 14.68/15.06 (20770) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 14.68/15.06 (20771) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 14.68/15.06 (20772) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 14.68/15.06 (20773) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 14.68/15.06 (20774) {G0,W3,D2,L1,V0,M1} { gt( n998, n0 ) }.
% 14.68/15.06 (20775) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 14.68/15.06 (20776) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 14.68/15.06 (20777) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 14.68/15.06 (20778) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 14.68/15.06 (20779) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 14.68/15.06 (20780) {G0,W3,D2,L1,V0,M1} { gt( n998, n1 ) }.
% 14.68/15.06 (20781) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 14.68/15.06 (20782) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 14.68/15.06 (20783) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 14.68/15.06 (20784) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 14.68/15.06 (20785) {G0,W3,D2,L1,V0,M1} { gt( n998, n2 ) }.
% 14.68/15.06 (20786) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 14.68/15.06 (20787) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 14.68/15.06 (20788) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 14.68/15.06 (20789) {G0,W3,D2,L1,V0,M1} { gt( n998, n3 ) }.
% 14.68/15.06 (20790) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 14.68/15.06 n1, X = n2, X = n3, X = n4 }.
% 14.68/15.06 (20791) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 14.68/15.06 n1, X = n2, X = n3, X = n4, X = n5 }.
% 14.68/15.06 (20792) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 14.68/15.06 (20793) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 14.68/15.06 n1 }.
% 14.68/15.06 (20794) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 14.68/15.06 n1, X = n2 }.
% 14.68/15.06 (20795) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 14.68/15.06 n1, X = n2, X = n3 }.
% 14.68/15.06 (20796) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 14.68/15.06 (20797) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 14.68/15.06 n5 }.
% 14.68/15.06 (20798) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 14.68/15.06 (20799) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 14.68/15.06 (20800) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 14.68/15.06
% 14.68/15.06
% 14.68/15.06 Total Proof:
% 14.68/15.06
% 14.68/15.06 subsumption: (198) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( n0, Y )
% 14.68/15.06 , ! leq( X, n2 ), ! leq( Y, n998 ), a_select3( u_defuse, X, Y ) ==> use
% 14.68/15.06 }.
% 14.68/15.06 parent0: (20755) {G0,W18,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), !
% 14.68/15.06 leq( X, n2 ), ! leq( Y, n998 ), a_select3( u_defuse, X, Y ) = use }.
% 14.68/15.06 substitution0:
% 14.68/15.06 X := X
% 14.68/15.06 Y := Y
% 14.68/15.06 end
% 14.68/15.06 permutation0:
% 14.68/15.06 0 ==> 0
% 14.68/15.06 1 ==> 1
% 14.68/15.06 2 ==> 2
% 14.68/15.06 3 ==> 3
% 14.68/15.06 4 ==> 4
% 14.68/15.06 end
% 14.68/15.06
% 14.68/15.06 subsumption: (200) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 14.68/15.06 parent0: (20757) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 14.68/15.06 substitution0:
% 14.68/15.06 end
% 14.68/15.06 permutation0:
% 14.68/15.06 0 ==> 0
% 14.68/15.06 end
% 14.68/15.06
% 14.68/15.06 subsumption: (201) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 14.68/15.06 parent0: (20758) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 14.68/15.06 substitution0:
% 14.68/15.06 end
% 14.68/15.06 permutation0:
% 14.68/15.06 0 ==> 0
% 14.68/15.06 end
% 14.68/15.06
% 14.68/15.06 subsumption: (202) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 14.68/15.07 parent0: (20759) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 permutation0:
% 14.68/15.07 0 ==> 0
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 subsumption: (203) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n998 ) }.
% 14.68/15.07 parent0: (20760) {G0,W3,D2,L1,V0,M1} { leq( skol29, n998 ) }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 permutation0:
% 14.68/15.07 0 ==> 0
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 subsumption: (204) {G0,W6,D3,L1,V0,M1} I { ! a_select3( u_defuse, skol15,
% 14.68/15.07 skol29 ) ==> use }.
% 14.68/15.07 parent0: (20761) {G0,W6,D3,L1,V0,M1} { ! a_select3( u_defuse, skol15,
% 14.68/15.07 skol29 ) = use }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 permutation0:
% 14.68/15.07 0 ==> 0
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 eqswap: (24203) {G0,W6,D3,L1,V0,M1} { ! use ==> a_select3( u_defuse,
% 14.68/15.07 skol15, skol29 ) }.
% 14.68/15.07 parent0[0]: (204) {G0,W6,D3,L1,V0,M1} I { ! a_select3( u_defuse, skol15,
% 14.68/15.07 skol29 ) ==> use }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 eqswap: (24204) {G0,W18,D3,L5,V2,M5} { use ==> a_select3( u_defuse, X, Y )
% 14.68/15.07 , ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, n998 ) }.
% 14.68/15.07 parent0[4]: (198) {G0,W18,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( n0, Y ),
% 14.68/15.07 ! leq( X, n2 ), ! leq( Y, n998 ), a_select3( u_defuse, X, Y ) ==> use }.
% 14.68/15.07 substitution0:
% 14.68/15.07 X := X
% 14.68/15.07 Y := Y
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 resolution: (24205) {G1,W12,D2,L4,V0,M4} { ! leq( n0, skol15 ), ! leq( n0
% 14.68/15.07 , skol29 ), ! leq( skol15, n2 ), ! leq( skol29, n998 ) }.
% 14.68/15.07 parent0[0]: (24203) {G0,W6,D3,L1,V0,M1} { ! use ==> a_select3( u_defuse,
% 14.68/15.07 skol15, skol29 ) }.
% 14.68/15.07 parent1[0]: (24204) {G0,W18,D3,L5,V2,M5} { use ==> a_select3( u_defuse, X
% 14.68/15.07 , Y ), ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, n998 )
% 14.68/15.07 }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 substitution1:
% 14.68/15.07 X := skol15
% 14.68/15.07 Y := skol29
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 resolution: (24206) {G1,W9,D2,L3,V0,M3} { ! leq( n0, skol29 ), ! leq(
% 14.68/15.07 skol15, n2 ), ! leq( skol29, n998 ) }.
% 14.68/15.07 parent0[0]: (24205) {G1,W12,D2,L4,V0,M4} { ! leq( n0, skol15 ), ! leq( n0
% 14.68/15.07 , skol29 ), ! leq( skol15, n2 ), ! leq( skol29, n998 ) }.
% 14.68/15.07 parent1[0]: (200) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 substitution1:
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 subsumption: (14116) {G1,W9,D2,L3,V0,M3} R(204,198);r(200) { ! leq( n0,
% 14.68/15.07 skol29 ), ! leq( skol15, n2 ), ! leq( skol29, n998 ) }.
% 14.68/15.07 parent0: (24206) {G1,W9,D2,L3,V0,M3} { ! leq( n0, skol29 ), ! leq( skol15
% 14.68/15.07 , n2 ), ! leq( skol29, n998 ) }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 permutation0:
% 14.68/15.07 0 ==> 0
% 14.68/15.07 1 ==> 1
% 14.68/15.07 2 ==> 2
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 resolution: (24207) {G1,W6,D2,L2,V0,M2} { ! leq( skol15, n2 ), ! leq(
% 14.68/15.07 skol29, n998 ) }.
% 14.68/15.07 parent0[0]: (14116) {G1,W9,D2,L3,V0,M3} R(204,198);r(200) { ! leq( n0,
% 14.68/15.07 skol29 ), ! leq( skol15, n2 ), ! leq( skol29, n998 ) }.
% 14.68/15.07 parent1[0]: (201) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 substitution1:
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 resolution: (24208) {G1,W3,D2,L1,V0,M1} { ! leq( skol29, n998 ) }.
% 14.68/15.07 parent0[0]: (24207) {G1,W6,D2,L2,V0,M2} { ! leq( skol15, n2 ), ! leq(
% 14.68/15.07 skol29, n998 ) }.
% 14.68/15.07 parent1[0]: (202) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 substitution1:
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 resolution: (24209) {G1,W0,D0,L0,V0,M0} { }.
% 14.68/15.07 parent0[0]: (24208) {G1,W3,D2,L1,V0,M1} { ! leq( skol29, n998 ) }.
% 14.68/15.07 parent1[0]: (203) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n998 ) }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 substitution1:
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 subsumption: (20555) {G2,W0,D0,L0,V0,M0} S(14116);r(201);r(202);r(203) {
% 14.68/15.07 }.
% 14.68/15.07 parent0: (24209) {G1,W0,D0,L0,V0,M0} { }.
% 14.68/15.07 substitution0:
% 14.68/15.07 end
% 14.68/15.07 permutation0:
% 14.68/15.07 end
% 14.68/15.07
% 14.68/15.07 Proof check complete!
% 14.68/15.07
% 14.68/15.07 Memory use:
% 14.68/15.07
% 14.68/15.07 space for terms: 653802
% 14.68/15.07 space for clauses: 904660
% 14.68/15.07
% 14.68/15.07
% 14.68/15.07 clauses generated: 186983
% 14.68/15.07 clauses kept: 20556
% 14.68/15.07 clauses selected: 1009
% 14.68/15.07 clauses deleted: 780
% 14.68/15.07 clauses inuse deleted: 12
% 14.68/15.07
% 14.68/15.07 subsentry: 420546
% 14.68/15.07 literals s-matched: 153242
% 14.68/15.07 literals matched: 133223
% 14.68/15.07 full subsumption: 104355
% 14.68/15.07
% 14.68/15.07 checksum: 707610531
% 14.68/15.07
% 14.68/15.07
% 14.68/15.07 Bliksem ended
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