TSTP Solution File: SWV221+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV221+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 16:22:59 EDT 2022
% Result : Theorem 15.73s 16.10s
% Output : Refutation 15.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV221+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Wed Jun 15 16:45:29 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.83/1.19 *** allocated 10000 integers for termspace/termends
% 0.83/1.19 *** allocated 10000 integers for clauses
% 0.83/1.19 *** allocated 10000 integers for justifications
% 0.83/1.19 Bliksem 1.12
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 Automatic Strategy Selection
% 0.83/1.19
% 0.83/1.19 *** allocated 15000 integers for termspace/termends
% 0.83/1.19
% 0.83/1.19 Clauses:
% 0.83/1.19
% 0.83/1.19 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.83/1.19 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.83/1.19 { ! gt( X, X ) }.
% 0.83/1.19 { leq( X, X ) }.
% 0.83/1.19 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.83/1.19 { ! lt( X, Y ), gt( Y, X ) }.
% 0.83/1.19 { ! gt( Y, X ), lt( X, Y ) }.
% 0.83/1.19 { ! geq( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( Y, X ), geq( X, Y ) }.
% 0.83/1.19 { ! gt( Y, X ), leq( X, Y ) }.
% 0.83/1.19 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.83/1.19 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.83/1.19 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.83/1.19 { gt( succ( X ), X ) }.
% 0.83/1.19 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.83/1.19 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.83/1.19 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.83/1.19 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.83/1.19 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.83/1.19 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.83/1.19 T ), X ) = T }.
% 0.83/1.19 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.83/1.19 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.83/1.19 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.83/1.19 a_select3( trans( X ), T, Z ) }.
% 0.83/1.19 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.83/1.19 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.19 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.83/1.19 ) }.
% 0.83/1.19 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.83/1.19 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.83/1.19 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.83/1.19 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.83/1.19 a_select3( inv( X ), T, Z ) }.
% 0.83/1.19 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.83/1.19 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.19 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.83/1.19 .
% 0.83/1.19 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.83/1.19 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.83/1.19 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.83/1.19 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.19 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.83/1.19 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.83/1.19 X, U, U, W ), T, Z ) }.
% 0.83/1.19 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.83/1.19 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.19 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.83/1.19 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.83/1.19 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.83/1.19 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.83/1.19 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.83/1.19 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.83/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.83/1.19 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.83/1.19 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.83/1.19 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.83/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.83/1.19 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.83/1.19 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.83/1.19 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.83/1.19 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.83/1.19 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.83/1.19 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.83/1.19 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.83/1.19 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.83/1.19 ( X, Y ) }.
% 0.83/1.19 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.83/1.19 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.83/1.19 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.83/1.19 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.83/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.83/1.19 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.83/1.19 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.83/1.19 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.83/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.83/1.19 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.83/1.19 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.83/1.19 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.83/1.19 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.83/1.19 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.83/1.19 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.83/1.19 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.83/1.19 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.83/1.19 ( X, Y ) }.
% 0.83/1.19 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.83/1.19 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.83/1.19 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.83/1.19 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.83/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.83/1.19 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.83/1.19 U ) ) ), T, Z ) }.
% 0.83/1.19 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.83/1.19 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.83/1.19 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.83/1.19 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.83/1.19 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.83/1.19 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.83/1.19 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.83/1.19 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.83/1.19 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.83/1.19 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.83/1.19 W ) ) ), T, Z ) }.
% 0.83/1.19 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.83/1.19 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.83/1.19 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.83/1.19 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.83/1.19 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.83/1.19 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.83/1.19 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.83/1.19 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.83/1.19 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.83/1.19 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.83/1.19 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.83/1.19 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.83/1.19 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.83/1.19 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.83/1.19 ) }.
% 0.83/1.19 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.83/1.19 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.83/1.19 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.83/1.19 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.83/1.19 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.83/1.19 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.83/1.19 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.83/1.19 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.83/1.19 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.83/1.19 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.83/1.19 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.83/1.19 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.83/1.19 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.83/1.19 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.83/1.19 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.83/1.19 alpha19( X, Y ) }.
% 0.83/1.19 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.83/1.19 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.19 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.19 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.83/1.19 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.83/1.19 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.83/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.83/1.19 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.83/1.19 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.83/1.19 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.83/1.19 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.83/1.20 ), alpha8( X ) }.
% 0.83/1.20 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.83/1.20 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.83/1.20 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.83/1.20 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.83/1.20 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.83/1.20 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.83/1.20 { succ( tptp_minus_1 ) = n0 }.
% 0.83/1.20 { plus( X, n1 ) = succ( X ) }.
% 0.83/1.20 { plus( n1, X ) = succ( X ) }.
% 0.83/1.20 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.83/1.20 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.83/1.20 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.20 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.20 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.83/1.20 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.83/1.20 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.83/1.20 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.83/1.20 { minus( X, n1 ) = pred( X ) }.
% 0.83/1.20 { pred( succ( X ) ) = X }.
% 0.83/1.20 { succ( pred( X ) ) = X }.
% 0.83/1.20 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.83/1.20 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.83/1.20 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.83/1.20 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.83/1.20 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.83/1.20 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.83/1.20 , Y, V0 ), Z, T ) = W }.
% 0.83/1.20 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.83/1.20 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.83/1.20 }.
% 0.83/1.20 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.83/1.20 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.83/1.20 U, Z, T, W ), X, Y ) = W }.
% 0.83/1.20 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.83/1.20 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.83/1.20 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.20 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.83/1.20 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.83/1.20 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.83/1.20 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.83/1.20 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.83/1.20 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.83/1.20 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.83/1.20 T }.
% 0.83/1.20 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.83/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.20 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.83/1.20 tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.20 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.83/1.20 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.20 { true }.
% 0.83/1.20 { ! def = use }.
% 0.83/1.20 { leq( n0, pv5 ) }.
% 0.83/1.20 { leq( n0, pv57 ) }.
% 0.83/1.20 { leq( pv5, n998 ) }.
% 0.83/1.20 { leq( pv57, n5 ) }.
% 0.83/1.20 { leq( pv58, n5 ) }.
% 0.83/1.20 { gt( pv58, pv57 ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n5 ), ! leq( Y, n5 ), a_select3
% 0.83/1.20 ( q_ds1_filter, X, Y ) = a_select3( q_ds1_filter, Y, X ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, n2 ), a_select3
% 0.83/1.20 ( r_ds1_filter, X, Y ) = a_select3( r_ds1_filter, Y, X ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n5 ), ! leq( Y, n5 ), a_select3
% 0.83/1.20 ( pminus_ds1_filter, X, Y ) = a_select3( pminus_ds1_filter, Y, X ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n5 ), ! leq( Y, n5 ), ! X =
% 0.83/1.20 pv57, ! gt( pv58, Y ), a_select3( id_ds1_filter, X, Y ) = a_select3(
% 0.83/1.20 id_ds1_filter, Y, X ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n5 ), ! leq( Y, n5 ), ! gt(
% 0.83/1.20 pv57, X ), a_select3( id_ds1_filter, X, Y ) = a_select3( id_ds1_filter, Y
% 0.83/1.20 , X ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( X, pred( pv57 ) ), ! leq( n0, Y ), ! leq( Y, n5 )
% 0.83/1.20 , a_select3( id_ds1_filter, X, Y ) = a_select3( id_ds1_filter, Y, X ) }.
% 0.83/1.20 { leq( n0, skol15 ) }.
% 0.83/1.20 { leq( skol15, pred( pv57 ) ) }.
% 0.83/1.20 { leq( n0, skol29 ) }.
% 0.83/1.20 { leq( skol29, n5 ) }.
% 0.83/1.20 { ! pv57 = skol29, ! skol29 = skol15 }.
% 0.83/1.20 { ! pv57 = skol15 }.
% 0.83/1.20 { ! a_select3( id_ds1_filter, skol15, skol29 ) = a_select3( id_ds1_filter,
% 0.83/1.20 skol29, skol15 ) }.
% 0.83/1.20 { gt( n5, n4 ) }.
% 0.83/1.20 { gt( n998, n4 ) }.
% 0.83/1.20 { gt( n998, n5 ) }.
% 0.83/1.20 { gt( n4, tptp_minus_1 ) }.
% 0.83/1.20 { gt( n5, tptp_minus_1 ) }.
% 0.83/1.20 { gt( n998, tptp_minus_1 ) }.
% 0.83/1.20 { gt( n0, tptp_minus_1 ) }.
% 0.83/1.20 { gt( n1, tptp_minus_1 ) }.
% 0.83/1.20 { gt( n2, tptp_minus_1 ) }.
% 0.83/1.20 { gt( n3, tptp_minus_1 ) }.
% 0.83/1.20 { gt( n4, n0 ) }.
% 0.83/1.20 { gt( n5, n0 ) }.
% 0.83/1.20 { gt( n998, n0 ) }.
% 0.83/1.20 { gt( n1, n0 ) }.
% 0.83/1.20 { gt( n2, n0 ) }.
% 0.83/1.20 { gt( n3, n0 ) }.
% 0.83/1.20 { gt( n4, n1 ) }.
% 0.83/1.20 { gt( n5, n1 ) }.
% 0.83/1.20 { gt( n998, n1 ) }.
% 0.83/1.20 { gt( n2, n1 ) }.
% 0.83/1.20 { gt( n3, n1 ) }.
% 0.83/1.20 { gt( n4, n2 ) }.
% 0.83/1.20 { gt( n5, n2 ) }.
% 0.83/1.20 { gt( n998, n2 ) }.
% 0.83/1.20 { gt( n3, n2 ) }.
% 0.83/1.20 { gt( n4, n3 ) }.
% 0.83/1.20 { gt( n5, n3 ) }.
% 0.83/1.20 { gt( n998, n3 ) }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.83/1.20 .
% 0.83/1.20 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.83/1.20 = n5 }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.83/1.20 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.83/1.20 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.83/1.20 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.83/1.20 { succ( n0 ) = n1 }.
% 0.83/1.20 { succ( succ( n0 ) ) = n2 }.
% 0.83/1.20 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.83/1.20
% 0.83/1.20 percentage equality = 0.184801, percentage horn = 0.877729
% 0.83/1.20 This is a problem with some equality
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Options Used:
% 0.83/1.20
% 0.83/1.20 useres = 1
% 0.83/1.20 useparamod = 1
% 0.83/1.20 useeqrefl = 1
% 0.83/1.20 useeqfact = 1
% 0.83/1.20 usefactor = 1
% 0.83/1.20 usesimpsplitting = 0
% 0.83/1.20 usesimpdemod = 5
% 0.83/1.20 usesimpres = 3
% 0.83/1.20
% 0.83/1.20 resimpinuse = 1000
% 0.83/1.20 resimpclauses = 20000
% 0.83/1.20 substype = eqrewr
% 0.83/1.20 backwardsubs = 1
% 0.83/1.20 selectoldest = 5
% 0.83/1.20
% 0.83/1.20 litorderings [0] = split
% 0.83/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.20
% 0.83/1.20 termordering = kbo
% 0.83/1.20
% 0.83/1.20 litapriori = 0
% 0.83/1.20 termapriori = 1
% 0.83/1.20 litaposteriori = 0
% 0.83/1.20 termaposteriori = 0
% 0.83/1.20 demodaposteriori = 0
% 0.83/1.20 ordereqreflfact = 0
% 0.83/1.20
% 0.83/1.20 litselect = negord
% 0.83/1.20
% 0.83/1.20 maxweight = 15
% 0.83/1.20 maxdepth = 30000
% 0.83/1.20 maxlength = 115
% 0.83/1.20 maxnrvars = 195
% 0.83/1.20 excuselevel = 1
% 0.83/1.20 increasemaxweight = 1
% 0.83/1.20
% 0.83/1.20 maxselected = 10000000
% 0.83/1.20 maxnrclauses = 10000000
% 0.83/1.20
% 0.83/1.20 showgenerated = 0
% 0.83/1.20 showkept = 0
% 0.83/1.20 showselected = 0
% 0.83/1.20 showdeleted = 0
% 14.25/14.69 showresimp = 1
% 14.25/14.69 showstatus = 2000
% 14.25/14.69
% 14.25/14.69 prologoutput = 0
% 14.25/14.69 nrgoals = 5000000
% 14.25/14.69 totalproof = 1
% 14.25/14.69
% 14.25/14.69 Symbols occurring in the translation:
% 14.25/14.69
% 14.25/14.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 14.25/14.69 . [1, 2] (w:1, o:67, a:1, s:1, b:0),
% 14.25/14.69 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 14.25/14.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 14.25/14.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 14.25/14.69 gt [37, 2] (w:1, o:91, a:1, s:1, b:0),
% 14.25/14.69 leq [39, 2] (w:1, o:92, a:1, s:1, b:0),
% 14.25/14.69 lt [40, 2] (w:1, o:93, a:1, s:1, b:0),
% 14.25/14.69 geq [41, 2] (w:1, o:94, a:1, s:1, b:0),
% 14.25/14.69 pred [42, 1] (w:1, o:61, a:1, s:1, b:0),
% 14.25/14.69 succ [43, 1] (w:1, o:62, a:1, s:1, b:0),
% 14.25/14.69 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 14.25/14.69 uniform_int_rnd [46, 2] (w:1, o:123, a:1, s:1, b:0),
% 14.25/14.69 dim [51, 2] (w:1, o:124, a:1, s:1, b:0),
% 14.25/14.69 tptp_const_array1 [52, 2] (w:1, o:119, a:1, s:1, b:0),
% 14.25/14.69 a_select2 [53, 2] (w:1, o:125, a:1, s:1, b:0),
% 14.25/14.69 tptp_const_array2 [59, 3] (w:1, o:146, a:1, s:1, b:0),
% 14.25/14.69 a_select3 [60, 3] (w:1, o:147, a:1, s:1, b:0),
% 14.25/14.69 trans [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 14.25/14.69 inv [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 14.25/14.69 tptp_update3 [67, 4] (w:1, o:164, a:1, s:1, b:0),
% 14.25/14.69 tptp_madd [69, 2] (w:1, o:120, a:1, s:1, b:0),
% 14.25/14.69 tptp_msub [70, 2] (w:1, o:121, a:1, s:1, b:0),
% 14.25/14.69 tptp_mmul [71, 2] (w:1, o:122, a:1, s:1, b:0),
% 14.25/14.69 tptp_minus_1 [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 14.25/14.69 sum [78, 3] (w:1, o:144, a:1, s:1, b:0),
% 14.25/14.69 tptp_float_0_0 [79, 0] (w:1, o:37, a:1, s:1, b:0),
% 14.25/14.69 n1 [80, 0] (w:1, o:38, a:1, s:1, b:0),
% 14.25/14.69 plus [81, 2] (w:1, o:126, a:1, s:1, b:0),
% 14.25/14.69 n2 [82, 0] (w:1, o:39, a:1, s:1, b:0),
% 14.25/14.69 n3 [83, 0] (w:1, o:40, a:1, s:1, b:0),
% 14.25/14.69 n4 [84, 0] (w:1, o:41, a:1, s:1, b:0),
% 14.25/14.69 n5 [85, 0] (w:1, o:42, a:1, s:1, b:0),
% 14.25/14.69 minus [86, 2] (w:1, o:127, a:1, s:1, b:0),
% 14.25/14.69 tptp_update2 [91, 3] (w:1, o:148, a:1, s:1, b:0),
% 14.25/14.69 true [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 14.25/14.69 def [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 14.25/14.69 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 14.25/14.69 pv5 [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 14.25/14.69 pv57 [96, 0] (w:1, o:49, a:1, s:1, b:0),
% 14.25/14.69 n998 [97, 0] (w:1, o:50, a:1, s:1, b:0),
% 14.25/14.69 pv58 [98, 0] (w:1, o:51, a:1, s:1, b:0),
% 14.25/14.69 q_ds1_filter [99, 0] (w:1, o:53, a:1, s:1, b:0),
% 14.25/14.69 r_ds1_filter [100, 0] (w:1, o:54, a:1, s:1, b:0),
% 14.25/14.69 pminus_ds1_filter [101, 0] (w:1, o:52, a:1, s:1, b:0),
% 14.25/14.69 id_ds1_filter [104, 0] (w:1, o:55, a:1, s:1, b:0),
% 14.25/14.69 alpha1 [105, 2] (w:1, o:128, a:1, s:1, b:1),
% 14.25/14.69 alpha2 [106, 2] (w:1, o:134, a:1, s:1, b:1),
% 14.25/14.69 alpha3 [107, 2] (w:1, o:138, a:1, s:1, b:1),
% 14.25/14.69 alpha4 [108, 2] (w:1, o:139, a:1, s:1, b:1),
% 14.25/14.69 alpha5 [109, 2] (w:1, o:140, a:1, s:1, b:1),
% 14.25/14.69 alpha6 [110, 2] (w:1, o:141, a:1, s:1, b:1),
% 14.25/14.69 alpha7 [111, 2] (w:1, o:142, a:1, s:1, b:1),
% 14.25/14.69 alpha8 [112, 1] (w:1, o:66, a:1, s:1, b:1),
% 14.25/14.69 alpha9 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 14.25/14.69 alpha10 [114, 3] (w:1, o:149, a:1, s:1, b:1),
% 14.25/14.69 alpha11 [115, 3] (w:1, o:150, a:1, s:1, b:1),
% 14.25/14.69 alpha12 [116, 3] (w:1, o:151, a:1, s:1, b:1),
% 14.25/14.69 alpha13 [117, 2] (w:1, o:129, a:1, s:1, b:1),
% 14.25/14.69 alpha14 [118, 2] (w:1, o:130, a:1, s:1, b:1),
% 14.25/14.69 alpha15 [119, 2] (w:1, o:131, a:1, s:1, b:1),
% 14.25/14.69 alpha16 [120, 2] (w:1, o:132, a:1, s:1, b:1),
% 14.25/14.69 alpha17 [121, 3] (w:1, o:152, a:1, s:1, b:1),
% 14.25/14.69 alpha18 [122, 3] (w:1, o:153, a:1, s:1, b:1),
% 14.25/14.69 alpha19 [123, 2] (w:1, o:133, a:1, s:1, b:1),
% 14.25/14.69 alpha20 [124, 2] (w:1, o:135, a:1, s:1, b:1),
% 14.25/14.69 alpha21 [125, 3] (w:1, o:154, a:1, s:1, b:1),
% 14.25/14.69 alpha22 [126, 3] (w:1, o:155, a:1, s:1, b:1),
% 14.25/14.69 alpha23 [127, 3] (w:1, o:156, a:1, s:1, b:1),
% 14.25/14.69 alpha24 [128, 3] (w:1, o:157, a:1, s:1, b:1),
% 14.25/14.69 alpha25 [129, 3] (w:1, o:158, a:1, s:1, b:1),
% 14.25/14.69 alpha26 [130, 2] (w:1, o:136, a:1, s:1, b:1),
% 14.25/14.69 alpha27 [131, 2] (w:1, o:137, a:1, s:1, b:1),
% 14.25/14.69 alpha28 [132, 3] (w:1, o:159, a:1, s:1, b:1),
% 14.25/14.69 alpha29 [133, 3] (w:1, o:160, a:1, s:1, b:1),
% 14.25/14.69 alpha30 [134, 3] (w:1, o:161, a:1, s:1, b:1),
% 14.25/14.69 skol1 [135, 2] (w:1, o:95, a:1, s:1, b:1),
% 15.73/16.10 skol2 [136, 2] (w:1, o:103, a:1, s:1, b:1),
% 15.73/16.10 skol3 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 15.73/16.10 skol4 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 15.73/16.10 skol5 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 15.73/16.10 skol6 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 15.73/16.10 skol7 [141, 2] (w:1, o:116, a:1, s:1, b:1),
% 15.73/16.10 skol8 [142, 2] (w:1, o:117, a:1, s:1, b:1),
% 15.73/16.10 skol9 [143, 2] (w:1, o:118, a:1, s:1, b:1),
% 15.73/16.10 skol10 [144, 2] (w:1, o:96, a:1, s:1, b:1),
% 15.73/16.10 skol11 [145, 2] (w:1, o:97, a:1, s:1, b:1),
% 15.73/16.10 skol12 [146, 2] (w:1, o:98, a:1, s:1, b:1),
% 15.73/16.10 skol13 [147, 4] (w:1, o:162, a:1, s:1, b:1),
% 15.73/16.10 skol14 [148, 3] (w:1, o:145, a:1, s:1, b:1),
% 15.73/16.10 skol15 [149, 0] (w:1, o:34, a:1, s:1, b:1),
% 15.73/16.10 skol16 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 15.73/16.10 skol17 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 15.73/16.10 skol18 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 15.73/16.10 skol19 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 15.73/16.10 skol20 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 15.73/16.10 skol21 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 15.73/16.10 skol22 [156, 2] (w:1, o:106, a:1, s:1, b:1),
% 15.73/16.10 skol23 [157, 2] (w:1, o:107, a:1, s:1, b:1),
% 15.73/16.10 skol24 [158, 2] (w:1, o:108, a:1, s:1, b:1),
% 15.73/16.10 skol25 [159, 2] (w:1, o:109, a:1, s:1, b:1),
% 15.73/16.10 skol26 [160, 2] (w:1, o:110, a:1, s:1, b:1),
% 15.73/16.10 skol27 [161, 2] (w:1, o:111, a:1, s:1, b:1),
% 15.73/16.10 skol28 [162, 4] (w:1, o:163, a:1, s:1, b:1),
% 15.73/16.10 skol29 [163, 0] (w:1, o:35, a:1, s:1, b:1),
% 15.73/16.10 skol30 [164, 1] (w:1, o:63, a:1, s:1, b:1).
% 15.73/16.10
% 15.73/16.10
% 15.73/16.10 Starting Search:
% 15.73/16.10
% 15.73/16.10 *** allocated 15000 integers for clauses
% 15.73/16.10 *** allocated 22500 integers for clauses
% 15.73/16.10 *** allocated 33750 integers for clauses
% 15.73/16.10 *** allocated 22500 integers for termspace/termends
% 15.73/16.10 *** allocated 50625 integers for clauses
% 15.73/16.10 *** allocated 75937 integers for clauses
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 33750 integers for termspace/termends
% 15.73/16.10 *** allocated 113905 integers for clauses
% 15.73/16.10 *** allocated 50625 integers for termspace/termends
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 7992
% 15.73/16.10 Kept: 2057
% 15.73/16.10 Inuse: 171
% 15.73/16.10 Deleted: 0
% 15.73/16.10 Deletedinuse: 0
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 170857 integers for clauses
% 15.73/16.10 *** allocated 75937 integers for termspace/termends
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 256285 integers for clauses
% 15.73/16.10 *** allocated 113905 integers for termspace/termends
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 16189
% 15.73/16.10 Kept: 4073
% 15.73/16.10 Inuse: 316
% 15.73/16.10 Deleted: 0
% 15.73/16.10 Deletedinuse: 0
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 170857 integers for termspace/termends
% 15.73/16.10 *** allocated 384427 integers for clauses
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 23360
% 15.73/16.10 Kept: 6126
% 15.73/16.10 Inuse: 451
% 15.73/16.10 Deleted: 0
% 15.73/16.10 Deletedinuse: 0
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 256285 integers for termspace/termends
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 31467
% 15.73/16.10 Kept: 8149
% 15.73/16.10 Inuse: 546
% 15.73/16.10 Deleted: 0
% 15.73/16.10 Deletedinuse: 0
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 576640 integers for clauses
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 36259
% 15.73/16.10 Kept: 10194
% 15.73/16.10 Inuse: 670
% 15.73/16.10 Deleted: 0
% 15.73/16.10 Deletedinuse: 0
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 384427 integers for termspace/termends
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 44590
% 15.73/16.10 Kept: 12308
% 15.73/16.10 Inuse: 795
% 15.73/16.10 Deleted: 12
% 15.73/16.10 Deletedinuse: 11
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 864960 integers for clauses
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 52478
% 15.73/16.10 Kept: 14422
% 15.73/16.10 Inuse: 854
% 15.73/16.10 Deleted: 13
% 15.73/16.10 Deletedinuse: 11
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 576640 integers for termspace/termends
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 87227
% 15.73/16.10 Kept: 16461
% 15.73/16.10 Inuse: 879
% 15.73/16.10 Deleted: 14
% 15.73/16.10 Deletedinuse: 12
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 864960 integers for termspace/termends
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 152105
% 15.73/16.10 Kept: 18866
% 15.73/16.10 Inuse: 894
% 15.73/16.10 Deleted: 14
% 15.73/16.10 Deletedinuse: 12
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 *** allocated 1297440 integers for clauses
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10
% 15.73/16.10 Intermediate Status:
% 15.73/16.10 Generated: 190457
% 15.73/16.10 Kept: 21503
% 15.73/16.10 Inuse: 904
% 15.73/16.10 Deleted: 14
% 15.73/16.10 Deletedinuse: 12
% 15.73/16.10
% 15.73/16.10 Resimplifying inuse:
% 15.73/16.10 Done
% 15.73/16.10
% 15.73/16.10 Resimplifying clauses:
% 15.73/16.10
% 15.73/16.10 Bliksems!, er is een bewijs:
% 15.73/16.10 % SZS status Theorem
% 15.73/16.10 % SZS output start Refutation
% 15.73/16.10
% 15.73/16.10 (182) {G0,W22,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, pred( pv57 ) ), !
% 15.73/16.10 leq( n0, Y ), ! leq( Y, n5 ), a_select3( id_ds1_filter, X, Y ) =
% 15.73/16.10 a_select3( id_ds1_filter, Y, X ) }.
% 15.73/16.10 (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 15.73/16.10 (184) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv57 ) ) }.
% 15.73/16.10 (185) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 15.73/16.10 (186) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n5 ) }.
% 15.73/16.10 (189) {G0,W9,D3,L1,V0,M1} I { ! a_select3( id_ds1_filter, skol15, skol29 )
% 15.73/16.10 ==> a_select3( id_ds1_filter, skol29, skol15 ) }.
% 15.73/16.10 (14848) {G1,W10,D3,L3,V0,M3} P(182,189);q;r(183) { ! leq( skol15, pred(
% 15.73/16.10 pv57 ) ), ! leq( n0, skol29 ), ! leq( skol29, n5 ) }.
% 15.73/16.10 (21854) {G2,W0,D0,L0,V0,M0} S(14848);r(184);r(185);r(186) { }.
% 15.73/16.10
% 15.73/16.10
% 15.73/16.10 % SZS output end Refutation
% 15.73/16.10 found a proof!
% 15.73/16.10
% 15.73/16.10
% 15.73/16.10 Unprocessed initial clauses:
% 15.73/16.10
% 15.73/16.10 (21856) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 15.73/16.10 (21857) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 15.73/16.10 (21858) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 15.73/16.10 (21859) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 15.73/16.10 (21860) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 15.73/16.10 }.
% 15.73/16.10 (21861) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 15.73/16.10 (21862) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 15.73/16.10 (21863) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21864) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 15.73/16.10 (21865) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 15.73/16.10 (21866) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 15.73/16.10 (21867) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 15.73/16.10 (21868) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 15.73/16.10 (21869) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 15.73/16.10 (21870) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 15.73/16.10 (21871) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 15.73/16.10 (21872) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 15.73/16.10 (21873) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 15.73/16.10 , X ) }.
% 15.73/16.10 (21874) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 15.73/16.10 , X ) ) }.
% 15.73/16.10 (21875) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 15.73/16.10 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 15.73/16.10 (21876) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 15.73/16.10 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 15.73/16.10 V0 ), X, T ) = V0 }.
% 15.73/16.10 (21877) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 15.73/16.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 15.73/16.10 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 15.73/16.10 (21878) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 15.73/16.10 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 15.73/16.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 15.73/16.10 = a_select3( trans( X ), T, Z ) }.
% 15.73/16.10 (21879) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 15.73/16.10 (21880) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21881) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21882) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha10( X, Y, Z ) }.
% 15.73/16.10 (21883) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21884) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21885) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21886) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 15.73/16.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 15.73/16.10 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 15.73/16.10 (21887) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 15.73/16.10 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 15.73/16.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 15.73/16.10 a_select3( inv( X ), T, Z ) }.
% 15.73/16.10 (21888) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 15.73/16.10 (21889) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21890) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21891) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha11( X, Y, Z ) }.
% 15.73/16.10 (21892) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21893) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21894) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21895) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 15.73/16.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 15.73/16.10 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 15.73/16.10 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 15.73/16.10 (21896) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 15.73/16.10 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 15.73/16.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 15.73/16.10 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 15.73/16.10 ( X, U, U, W ), T, Z ) }.
% 15.73/16.10 (21897) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 15.73/16.10 (21898) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21899) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21900) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha12( X, Y, Z ) }.
% 15.73/16.10 (21901) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21902) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21903) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21904) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 15.73/16.10 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 15.73/16.10 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 15.73/16.10 ), U, T ) }.
% 15.73/16.10 (21905) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 15.73/16.10 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 15.73/16.10 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 15.73/16.10 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 15.73/16.10 (21906) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 15.73/16.10 (21907) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21908) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21909) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha22( X, Y, Z ) }.
% 15.73/16.10 (21910) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21911) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21912) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21913) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 15.73/16.10 , skol20( X, Y ) ) }.
% 15.73/16.10 (21914) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 15.73/16.10 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 15.73/16.10 }.
% 15.73/16.10 (21915) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 15.73/16.10 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 15.73/16.10 (21916) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 15.73/16.10 (21917) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21918) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21919) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha23( X, Y, Z ) }.
% 15.73/16.10 (21920) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21921) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21922) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21923) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 15.73/16.10 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 15.73/16.10 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 15.73/16.10 ), U, T ) }.
% 15.73/16.10 (21924) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 15.73/16.10 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 15.73/16.10 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 15.73/16.10 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 15.73/16.10 (21925) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 15.73/16.10 (21926) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21927) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21928) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha24( X, Y, Z ) }.
% 15.73/16.10 (21929) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21930) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21931) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21932) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 15.73/16.10 , skol22( X, Y ) ) }.
% 15.73/16.10 (21933) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 15.73/16.10 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 15.73/16.10 }.
% 15.73/16.10 (21934) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 15.73/16.10 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 15.73/16.10 (21935) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 15.73/16.10 (21936) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21937) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21938) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha25( X, Y, Z ) }.
% 15.73/16.10 (21939) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21940) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21941) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21942) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 15.73/16.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 15.73/16.10 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 15.73/16.10 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 15.73/16.10 (21943) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 15.73/16.10 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 15.73/16.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 15.73/16.10 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 15.73/16.10 ( X, trans( U ) ) ), T, Z ) }.
% 15.73/16.10 (21944) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 15.73/16.10 (21945) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21946) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21947) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha17( X, Y, Z ) }.
% 15.73/16.10 (21948) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21949) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21950) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21951) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 15.73/16.10 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 15.73/16.10 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 15.73/16.10 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 15.73/16.10 (21952) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 15.73/16.10 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 15.73/16.10 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 15.73/16.10 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 15.73/16.10 ( X, trans( W ) ) ), T, Z ) }.
% 15.73/16.10 (21953) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 15.73/16.10 (21954) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21955) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21956) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha18( X, Y, Z ) }.
% 15.73/16.10 (21957) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21958) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21959) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21960) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 15.73/16.10 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 15.73/16.10 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 15.73/16.10 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 15.73/16.10 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 15.73/16.10 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 15.73/16.10 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 15.73/16.10 ) ), trans( V0 ) ) ) ), W, U ) }.
% 15.73/16.10 (21961) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 15.73/16.10 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 15.73/16.10 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 15.73/16.10 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 15.73/16.10 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 15.73/16.10 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 15.73/16.10 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 15.73/16.10 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 15.73/16.10 ) ), W, U ) }.
% 15.73/16.10 (21962) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 15.73/16.10 (21963) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21964) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21965) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha29( X, Y, Z ) }.
% 15.73/16.10 (21966) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21967) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21968) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21969) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 15.73/16.10 ), skol26( X, Y ) ) }.
% 15.73/16.10 (21970) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 15.73/16.10 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 15.73/16.10 }.
% 15.73/16.10 (21971) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 15.73/16.10 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 15.73/16.10 (21972) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 15.73/16.10 (21973) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21974) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21975) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha30( X, Y, Z ) }.
% 15.73/16.10 (21976) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21977) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21978) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21979) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 15.73/16.10 skol27( X, Y ) ) }.
% 15.73/16.10 (21980) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 15.73/16.10 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 15.73/16.10 (21981) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3(
% 15.73/16.10 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 15.73/16.10 (21982) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 15.73/16.10 (21983) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 15.73/16.10 (21984) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 15.73/16.10 (21985) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 15.73/16.10 , X ), alpha28( X, Y, Z ) }.
% 15.73/16.10 (21986) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (21987) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 15.73/16.10 (21988) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (21989) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 15.73/16.10 (21990) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 15.73/16.10 }.
% 15.73/16.10 (21991) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 15.73/16.10 (21992) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 15.73/16.10 (21993) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 15.73/16.10 (21994) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 15.73/16.10 (21995) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 15.73/16.10 (21996) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 15.73/16.10 }.
% 15.73/16.10 (21997) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 15.73/16.10 }.
% 15.73/16.10 (21998) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 15.73/16.10 ) ) ) }.
% 15.73/16.10 (21999) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 15.73/16.10 ) ) ) }.
% 15.73/16.10 (22000) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 15.73/16.10 succ( X ) ) ) ) ) }.
% 15.73/16.10 (22001) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 15.73/16.10 succ( X ) ) ) ) ) }.
% 15.73/16.10 (22002) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 15.73/16.10 (22003) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 15.73/16.10 (22004) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 15.73/16.10 (22005) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 15.73/16.10 }.
% 15.73/16.10 (22006) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 15.73/16.10 }.
% 15.73/16.10 (22007) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 15.73/16.10 (22008) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 15.73/16.10 (22009) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 15.73/16.10 ) = T }.
% 15.73/16.10 (22010) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 15.73/16.10 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 15.73/16.10 (22011) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 15.73/16.10 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 15.73/16.10 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 15.73/16.10 (22012) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 15.73/16.10 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 15.73/16.10 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 15.73/16.10 (22013) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 15.73/16.10 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 15.73/16.10 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 15.73/16.10 (22014) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 15.73/16.10 (22015) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 15.73/16.10 (22016) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 15.73/16.10 , Y, Z ) }.
% 15.73/16.10 (22017) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 15.73/16.10 (22018) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 15.73/16.10 (22019) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 15.73/16.10 ) }.
% 15.73/16.10 (22020) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 15.73/16.10 }.
% 15.73/16.10 (22021) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 15.73/16.10 tptp_update2( Z, X, U ), Y ) = T }.
% 15.73/16.10 (22022) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 15.73/16.10 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 15.73/16.10 (22023) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 15.73/16.10 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 15.73/16.10 (22024) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 15.73/16.10 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 15.73/16.10 }.
% 15.73/16.10 (22025) {G0,W1,D1,L1,V0,M1} { true }.
% 15.73/16.10 (22026) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 15.73/16.10 (22027) {G0,W3,D2,L1,V0,M1} { leq( n0, pv5 ) }.
% 15.73/16.10 (22028) {G0,W3,D2,L1,V0,M1} { leq( n0, pv57 ) }.
% 15.73/16.10 (22029) {G0,W3,D2,L1,V0,M1} { leq( pv5, n998 ) }.
% 15.73/16.10 (22030) {G0,W3,D2,L1,V0,M1} { leq( pv57, n5 ) }.
% 15.73/16.10 (22031) {G0,W3,D2,L1,V0,M1} { leq( pv58, n5 ) }.
% 15.73/16.10 (22032) {G0,W3,D2,L1,V0,M1} { gt( pv58, pv57 ) }.
% 15.73/16.10 (22033) {G0,W21,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 15.73/16.10 n5 ), ! leq( Y, n5 ), a_select3( q_ds1_filter, X, Y ) = a_select3(
% 15.73/16.10 q_ds1_filter, Y, X ) }.
% 15.73/16.10 (22034) {G0,W21,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 15.73/16.10 n2 ), ! leq( Y, n2 ), a_select3( r_ds1_filter, X, Y ) = a_select3(
% 15.73/16.10 r_ds1_filter, Y, X ) }.
% 15.73/16.10 (22035) {G0,W21,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 15.73/16.10 n5 ), ! leq( Y, n5 ), a_select3( pminus_ds1_filter, X, Y ) = a_select3(
% 15.73/16.10 pminus_ds1_filter, Y, X ) }.
% 15.73/16.10 (22036) {G0,W27,D3,L7,V2,M7} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 15.73/16.10 n5 ), ! leq( Y, n5 ), ! X = pv57, ! gt( pv58, Y ), a_select3(
% 15.73/16.10 id_ds1_filter, X, Y ) = a_select3( id_ds1_filter, Y, X ) }.
% 15.73/16.10 (22037) {G0,W24,D3,L6,V2,M6} { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X,
% 15.73/16.10 n5 ), ! leq( Y, n5 ), ! gt( pv57, X ), a_select3( id_ds1_filter, X, Y ) =
% 15.73/16.10 a_select3( id_ds1_filter, Y, X ) }.
% 15.73/16.10 (22038) {G0,W22,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, pred( pv57 ) ), !
% 15.73/16.10 leq( n0, Y ), ! leq( Y, n5 ), a_select3( id_ds1_filter, X, Y ) =
% 15.73/16.10 a_select3( id_ds1_filter, Y, X ) }.
% 15.73/16.10 (22039) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 15.73/16.10 (22040) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv57 ) ) }.
% 15.73/16.10 (22041) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 15.73/16.10 (22042) {G0,W3,D2,L1,V0,M1} { leq( skol29, n5 ) }.
% 15.96/16.35 (22043) {G0,W6,D2,L2,V0,M2} { ! pv57 = skol29, ! skol29 = skol15 }.
% 15.96/16.35 (22044) {G0,W3,D2,L1,V0,M1} { ! pv57 = skol15 }.
% 15.96/16.35 (22045) {G0,W9,D3,L1,V0,M1} { ! a_select3( id_ds1_filter, skol15, skol29 )
% 15.96/16.35 = a_select3( id_ds1_filter, skol29, skol15 ) }.
% 15.96/16.35 (22046) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 15.96/16.35 (22047) {G0,W3,D2,L1,V0,M1} { gt( n998, n4 ) }.
% 15.96/16.35 (22048) {G0,W3,D2,L1,V0,M1} { gt( n998, n5 ) }.
% 15.96/16.35 (22049) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 15.96/16.35 (22050) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 15.96/16.35 (22051) {G0,W3,D2,L1,V0,M1} { gt( n998, tptp_minus_1 ) }.
% 15.96/16.35 (22052) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 15.96/16.35 (22053) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 15.96/16.35 (22054) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 15.96/16.35 (22055) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 15.96/16.35 (22056) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 15.96/16.35 (22057) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 15.96/16.35 (22058) {G0,W3,D2,L1,V0,M1} { gt( n998, n0 ) }.
% 15.96/16.35 (22059) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 15.96/16.35 (22060) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 15.96/16.35 (22061) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 15.96/16.35 (22062) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 15.96/16.35 (22063) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 15.96/16.35 (22064) {G0,W3,D2,L1,V0,M1} { gt( n998, n1 ) }.
% 15.96/16.35 (22065) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 15.96/16.35 (22066) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 15.96/16.35 (22067) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 15.96/16.35 (22068) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 15.96/16.35 (22069) {G0,W3,D2,L1,V0,M1} { gt( n998, n2 ) }.
% 15.96/16.35 (22070) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 15.96/16.35 (22071) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 15.96/16.35 (22072) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 15.96/16.35 (22073) {G0,W3,D2,L1,V0,M1} { gt( n998, n3 ) }.
% 15.96/16.35 (22074) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 15.96/16.35 n1, X = n2, X = n3, X = n4 }.
% 15.96/16.35 (22075) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 15.96/16.35 n1, X = n2, X = n3, X = n4, X = n5 }.
% 15.96/16.35 (22076) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 15.96/16.35 (22077) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 15.96/16.35 n1 }.
% 15.96/16.35 (22078) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 15.96/16.35 n1, X = n2 }.
% 15.96/16.35 (22079) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 15.96/16.35 n1, X = n2, X = n3 }.
% 15.96/16.35 (22080) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 15.96/16.35 (22081) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 15.96/16.35 n5 }.
% 15.96/16.35 (22082) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 15.96/16.35 (22083) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 15.96/16.35 (22084) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 15.96/16.35
% 15.96/16.35
% 15.96/16.35 Total Proof:
% 15.96/16.35
% 15.96/16.35 subsumption: (182) {G0,W22,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, pred
% 15.96/16.35 ( pv57 ) ), ! leq( n0, Y ), ! leq( Y, n5 ), a_select3( id_ds1_filter, X,
% 15.96/16.35 Y ) = a_select3( id_ds1_filter, Y, X ) }.
% 15.96/16.35 parent0: (22038) {G0,W22,D3,L5,V2,M5} { ! leq( n0, X ), ! leq( X, pred(
% 15.96/16.35 pv57 ) ), ! leq( n0, Y ), ! leq( Y, n5 ), a_select3( id_ds1_filter, X, Y
% 15.96/16.35 ) = a_select3( id_ds1_filter, Y, X ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 X := X
% 15.96/16.35 Y := Y
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 0 ==> 0
% 15.96/16.35 1 ==> 1
% 15.96/16.35 2 ==> 2
% 15.96/16.35 3 ==> 3
% 15.96/16.35 4 ==> 4
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 subsumption: (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 15.96/16.35 parent0: (22039) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 0 ==> 0
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 subsumption: (184) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv57 ) ) }.
% 15.96/16.35 parent0: (22040) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv57 ) ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 0 ==> 0
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 subsumption: (185) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 15.96/16.35 parent0: (22041) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 0 ==> 0
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 subsumption: (186) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n5 ) }.
% 15.96/16.35 parent0: (22042) {G0,W3,D2,L1,V0,M1} { leq( skol29, n5 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 0 ==> 0
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 subsumption: (189) {G0,W9,D3,L1,V0,M1} I { ! a_select3( id_ds1_filter,
% 15.96/16.35 skol15, skol29 ) ==> a_select3( id_ds1_filter, skol29, skol15 ) }.
% 15.96/16.35 parent0: (22045) {G0,W9,D3,L1,V0,M1} { ! a_select3( id_ds1_filter, skol15
% 15.96/16.35 , skol29 ) = a_select3( id_ds1_filter, skol29, skol15 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 0 ==> 0
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 eqswap: (25492) {G0,W22,D3,L5,V2,M5} { a_select3( id_ds1_filter, Y, X ) =
% 15.96/16.35 a_select3( id_ds1_filter, X, Y ), ! leq( n0, X ), ! leq( X, pred( pv57 )
% 15.96/16.35 ), ! leq( n0, Y ), ! leq( Y, n5 ) }.
% 15.96/16.35 parent0[4]: (182) {G0,W22,D3,L5,V2,M5} I { ! leq( n0, X ), ! leq( X, pred(
% 15.96/16.35 pv57 ) ), ! leq( n0, Y ), ! leq( Y, n5 ), a_select3( id_ds1_filter, X, Y
% 15.96/16.35 ) = a_select3( id_ds1_filter, Y, X ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 X := X
% 15.96/16.35 Y := Y
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 eqswap: (25493) {G0,W9,D3,L1,V0,M1} { ! a_select3( id_ds1_filter, skol29,
% 15.96/16.35 skol15 ) ==> a_select3( id_ds1_filter, skol15, skol29 ) }.
% 15.96/16.35 parent0[0]: (189) {G0,W9,D3,L1,V0,M1} I { ! a_select3( id_ds1_filter,
% 15.96/16.35 skol15, skol29 ) ==> a_select3( id_ds1_filter, skol29, skol15 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 paramod: (25494) {G1,W22,D3,L5,V0,M5} { ! a_select3( id_ds1_filter, skol15
% 15.96/16.35 , skol29 ) ==> a_select3( id_ds1_filter, skol15, skol29 ), ! leq( n0,
% 15.96/16.35 skol15 ), ! leq( skol15, pred( pv57 ) ), ! leq( n0, skol29 ), ! leq(
% 15.96/16.35 skol29, n5 ) }.
% 15.96/16.35 parent0[0]: (25492) {G0,W22,D3,L5,V2,M5} { a_select3( id_ds1_filter, Y, X
% 15.96/16.35 ) = a_select3( id_ds1_filter, X, Y ), ! leq( n0, X ), ! leq( X, pred(
% 15.96/16.35 pv57 ) ), ! leq( n0, Y ), ! leq( Y, n5 ) }.
% 15.96/16.35 parent1[0; 2]: (25493) {G0,W9,D3,L1,V0,M1} { ! a_select3( id_ds1_filter,
% 15.96/16.35 skol29, skol15 ) ==> a_select3( id_ds1_filter, skol15, skol29 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 X := skol15
% 15.96/16.35 Y := skol29
% 15.96/16.35 end
% 15.96/16.35 substitution1:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 eqrefl: (35195) {G0,W13,D3,L4,V0,M4} { ! leq( n0, skol15 ), ! leq( skol15
% 15.96/16.35 , pred( pv57 ) ), ! leq( n0, skol29 ), ! leq( skol29, n5 ) }.
% 15.96/16.35 parent0[0]: (25494) {G1,W22,D3,L5,V0,M5} { ! a_select3( id_ds1_filter,
% 15.96/16.35 skol15, skol29 ) ==> a_select3( id_ds1_filter, skol15, skol29 ), ! leq(
% 15.96/16.35 n0, skol15 ), ! leq( skol15, pred( pv57 ) ), ! leq( n0, skol29 ), ! leq(
% 15.96/16.35 skol29, n5 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 resolution: (35196) {G1,W10,D3,L3,V0,M3} { ! leq( skol15, pred( pv57 ) ),
% 15.96/16.35 ! leq( n0, skol29 ), ! leq( skol29, n5 ) }.
% 15.96/16.35 parent0[0]: (35195) {G0,W13,D3,L4,V0,M4} { ! leq( n0, skol15 ), ! leq(
% 15.96/16.35 skol15, pred( pv57 ) ), ! leq( n0, skol29 ), ! leq( skol29, n5 ) }.
% 15.96/16.35 parent1[0]: (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 substitution1:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 subsumption: (14848) {G1,W10,D3,L3,V0,M3} P(182,189);q;r(183) { ! leq(
% 15.96/16.35 skol15, pred( pv57 ) ), ! leq( n0, skol29 ), ! leq( skol29, n5 ) }.
% 15.96/16.35 parent0: (35196) {G1,W10,D3,L3,V0,M3} { ! leq( skol15, pred( pv57 ) ), !
% 15.96/16.35 leq( n0, skol29 ), ! leq( skol29, n5 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 0 ==> 0
% 15.96/16.35 1 ==> 1
% 15.96/16.35 2 ==> 2
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 resolution: (35197) {G1,W6,D2,L2,V0,M2} { ! leq( n0, skol29 ), ! leq(
% 15.96/16.35 skol29, n5 ) }.
% 15.96/16.35 parent0[0]: (14848) {G1,W10,D3,L3,V0,M3} P(182,189);q;r(183) { ! leq(
% 15.96/16.35 skol15, pred( pv57 ) ), ! leq( n0, skol29 ), ! leq( skol29, n5 ) }.
% 15.96/16.35 parent1[0]: (184) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv57 ) ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 substitution1:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 resolution: (35198) {G1,W3,D2,L1,V0,M1} { ! leq( skol29, n5 ) }.
% 15.96/16.35 parent0[0]: (35197) {G1,W6,D2,L2,V0,M2} { ! leq( n0, skol29 ), ! leq(
% 15.96/16.35 skol29, n5 ) }.
% 15.96/16.35 parent1[0]: (185) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 substitution1:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 resolution: (35199) {G1,W0,D0,L0,V0,M0} { }.
% 15.96/16.35 parent0[0]: (35198) {G1,W3,D2,L1,V0,M1} { ! leq( skol29, n5 ) }.
% 15.96/16.35 parent1[0]: (186) {G0,W3,D2,L1,V0,M1} I { leq( skol29, n5 ) }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 substitution1:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 subsumption: (21854) {G2,W0,D0,L0,V0,M0} S(14848);r(184);r(185);r(186) {
% 15.96/16.35 }.
% 15.96/16.35 parent0: (35199) {G1,W0,D0,L0,V0,M0} { }.
% 15.96/16.35 substitution0:
% 15.96/16.35 end
% 15.96/16.35 permutation0:
% 15.96/16.35 end
% 15.96/16.35
% 15.96/16.35 Proof check complete!
% 15.96/16.35
% 15.96/16.35 Memory use:
% 15.96/16.35
% 15.96/16.35 space for terms: 701933
% 15.96/16.35 space for clauses: 955713
% 15.96/16.35
% 15.96/16.35
% 15.96/16.35 clauses generated: 191202
% 15.96/16.35 clauses kept: 21855
% 15.96/16.35 clauses selected: 904
% 15.96/16.35 clauses deleted: 856
% 15.96/16.35 clauses inuse deleted: 12
% 15.96/16.35
% 15.96/16.35 subsentry: 659707
% 15.96/16.35 literals s-matched: 291549
% 15.96/16.35 literals matched: 271169
% 15.96/16.35 full subsumption: 121027
% 15.96/16.35
% 15.96/16.35 checksum: -1204320778
% 15.96/16.35
% 15.96/16.35
% 15.96/16.35 Bliksem ended
%------------------------------------------------------------------------------