TSTP Solution File: SWV143+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV143+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:41 EDT 2022
% Result : Theorem 1.64s 2.06s
% Output : Refutation 1.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV143+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 00:59:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.11 *** allocated 10000 integers for termspace/termends
% 0.74/1.11 *** allocated 10000 integers for clauses
% 0.74/1.11 *** allocated 10000 integers for justifications
% 0.74/1.11 Bliksem 1.12
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Automatic Strategy Selection
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Clauses:
% 0.74/1.11
% 0.74/1.11 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.74/1.11 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.74/1.11 { ! gt( X, X ) }.
% 0.74/1.11 { leq( X, X ) }.
% 0.74/1.11 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.74/1.11 { ! lt( X, Y ), gt( Y, X ) }.
% 0.74/1.11 { ! gt( Y, X ), lt( X, Y ) }.
% 0.74/1.11 { ! geq( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( Y, X ), geq( X, Y ) }.
% 0.74/1.11 { ! gt( Y, X ), leq( X, Y ) }.
% 0.74/1.11 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.74/1.11 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.74/1.11 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.74/1.11 { gt( succ( X ), X ) }.
% 0.74/1.11 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.74/1.11 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.74/1.11 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.74/1.11 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.74/1.11 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.74/1.11 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.74/1.11 T ), X ) = T }.
% 0.74/1.11 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.74/1.11 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.74/1.11 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.74/1.11 a_select3( trans( X ), T, Z ) }.
% 0.74/1.11 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.74/1.11 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.11 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.74/1.11 ) }.
% 0.74/1.11 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.74/1.11 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.74/1.11 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.74/1.11 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.74/1.11 a_select3( inv( X ), T, Z ) }.
% 0.74/1.11 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.74/1.11 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.11 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.74/1.11 .
% 0.74/1.11 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.74/1.11 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.74/1.11 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.74/1.11 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.11 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.74/1.11 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.74/1.11 X, U, U, W ), T, Z ) }.
% 0.74/1.11 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.74/1.11 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.11 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.74/1.11 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.74/1.11 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.74/1.11 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.74/1.11 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.74/1.11 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.74/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.74/1.11 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.74/1.11 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.74/1.11 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.74/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.74/1.11 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.74/1.11 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.74/1.11 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.74/1.11 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.74/1.11 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.74/1.11 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.74/1.11 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.74/1.11 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.74/1.11 ( X, Y ) }.
% 0.74/1.11 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.74/1.11 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.74/1.11 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.74/1.11 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.74/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.74/1.11 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.74/1.11 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.74/1.11 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.74/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.74/1.11 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.74/1.11 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.74/1.11 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.74/1.11 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.74/1.11 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.74/1.11 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.74/1.11 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.74/1.11 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.74/1.11 ( X, Y ) }.
% 0.74/1.11 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.74/1.11 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.74/1.11 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.74/1.11 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.74/1.11 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.74/1.11 U ) ) ), T, Z ) }.
% 0.74/1.11 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.74/1.11 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.11 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.74/1.11 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.74/1.11 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.74/1.11 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.74/1.11 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.74/1.11 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.74/1.11 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.74/1.11 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.74/1.11 W ) ) ), T, Z ) }.
% 0.74/1.11 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.74/1.11 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.74/1.11 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.74/1.11 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.74/1.11 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.74/1.11 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.74/1.11 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.74/1.11 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.74/1.11 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.74/1.11 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.74/1.11 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.74/1.11 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.74/1.11 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.74/1.11 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.74/1.11 ) }.
% 0.74/1.11 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.74/1.11 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.74/1.11 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.74/1.11 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.74/1.11 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.74/1.11 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.74/1.11 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.74/1.11 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.74/1.11 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.74/1.11 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.74/1.11 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.74/1.11 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.74/1.11 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.74/1.11 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.74/1.11 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.74/1.11 alpha19( X, Y ) }.
% 0.74/1.11 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.74/1.11 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.74/1.11 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.74/1.11 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.74/1.11 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.74/1.11 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.74/1.11 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.74/1.11 ), alpha8( X ) }.
% 0.74/1.11 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.74/1.11 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.11 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.11 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.74/1.11 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.74/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.74/1.11 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.74/1.11 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.74/1.11 { succ( tptp_minus_1 ) = n0 }.
% 0.74/1.11 { plus( X, n1 ) = succ( X ) }.
% 0.74/1.11 { plus( n1, X ) = succ( X ) }.
% 0.74/1.11 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.74/1.11 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.74/1.11 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.74/1.11 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.74/1.11 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.74/1.11 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.74/1.11 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.74/1.11 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.74/1.11 { minus( X, n1 ) = pred( X ) }.
% 0.74/1.11 { pred( succ( X ) ) = X }.
% 0.74/1.11 { succ( pred( X ) ) = X }.
% 0.74/1.11 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.74/1.11 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.74/1.11 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.74/1.11 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.74/1.11 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.74/1.11 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.74/1.11 , Y, V0 ), Z, T ) = W }.
% 0.74/1.11 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.74/1.11 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.74/1.11 }.
% 0.74/1.11 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.74/1.11 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.74/1.11 U, Z, T, W ), X, Y ) = W }.
% 0.74/1.11 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.74/1.11 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.74/1.11 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.74/1.11 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.74/1.11 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.74/1.11 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.74/1.11 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.74/1.11 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.74/1.11 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.74/1.11 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.74/1.11 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.74/1.11 T }.
% 0.74/1.11 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.74/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.11 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.74/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.11 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.74/1.11 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.11 { true }.
% 0.74/1.11 { ! def = use }.
% 0.74/1.11 { leq( tptp_float_0_001, pv1341 ) }.
% 0.74/1.11 { leq( n1, loopcounter ) }.
% 0.74/1.11 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_best7 ) }.
% 0.74/1.11 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_sworst7 ) }.
% 0.74/1.11 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_worst7 ) }.
% 0.74/1.11 { leq( tptp_float_0_001, pv1341 ), leq( s_best7, n3 ) }.
% 0.74/1.11 { leq( tptp_float_0_001, pv1341 ), leq( s_sworst7, n3 ) }.
% 0.74/1.11 { leq( tptp_float_0_001, pv1341 ), leq( s_worst7, n3 ) }.
% 0.74/1.11 { ! gt( loopcounter, n0 ), leq( n0, s_best7 ) }.
% 0.74/1.11 { ! gt( loopcounter, n0 ), leq( n0, s_sworst7 ) }.
% 0.74/1.11 { ! gt( loopcounter, n0 ), leq( n0, s_worst7 ) }.
% 0.74/1.11 { ! gt( loopcounter, n0 ), leq( s_best7, n3 ) }.
% 0.74/1.11 { ! gt( loopcounter, n0 ), leq( s_sworst7, n3 ) }.
% 0.74/1.11 { ! gt( loopcounter, n0 ), leq( s_worst7, n3 ) }.
% 0.74/1.11 { ! leq( s_sworst7, n3 ) }.
% 0.74/1.11 { gt( n5, n4 ) }.
% 0.74/1.11 { gt( n4, tptp_minus_1 ) }.
% 0.74/1.11 { gt( n5, tptp_minus_1 ) }.
% 0.74/1.11 { gt( n0, tptp_minus_1 ) }.
% 0.74/1.11 { gt( n1, tptp_minus_1 ) }.
% 0.74/1.11 { gt( n2, tptp_minus_1 ) }.
% 0.74/1.11 { gt( n3, tptp_minus_1 ) }.
% 0.74/1.11 { gt( n4, n0 ) }.
% 0.74/1.11 { gt( n5, n0 ) }.
% 0.74/1.11 { gt( n1, n0 ) }.
% 0.74/1.11 { gt( n2, n0 ) }.
% 0.74/1.11 { gt( n3, n0 ) }.
% 0.74/1.11 { gt( n4, n1 ) }.
% 0.74/1.11 { gt( n5, n1 ) }.
% 0.74/1.11 { gt( n2, n1 ) }.
% 0.74/1.11 { gt( n3, n1 ) }.
% 0.74/1.11 { gt( n4, n2 ) }.
% 0.74/1.11 { gt( n5, n2 ) }.
% 0.74/1.11 { gt( n3, n2 ) }.
% 0.74/1.11 { gt( n4, n3 ) }.
% 0.74/1.11 { gt( n5, n3 ) }.
% 0.74/1.11 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.74/1.11 .
% 0.74/1.11 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.74/1.11 = n5 }.
% 0.74/1.11 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.74/1.11 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.74/1.11 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.74/1.11 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.74/1.11 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.74/1.11 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.74/1.11 { succ( n0 ) = n1 }.
% 0.74/1.11 { succ( succ( n0 ) ) = n2 }.
% 0.74/1.11 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.74/1.11
% 0.74/1.11 percentage equality = 0.177778, percentage horn = 0.867925
% 0.74/1.11 This is a problem with some equality
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Options Used:
% 0.74/1.11
% 0.74/1.11 useres = 1
% 0.74/1.11 useparamod = 1
% 0.74/1.11 useeqrefl = 1
% 0.74/1.11 useeqfact = 1
% 0.74/1.11 usefactor = 1
% 0.74/1.11 usesimpsplitting = 0
% 0.74/1.11 usesimpdemod = 5
% 0.74/1.11 usesimpres = 3
% 0.74/1.11
% 0.74/1.11 resimpinuse = 1000
% 0.74/1.11 resimpclauses = 20000
% 0.74/1.11 substype = eqrewr
% 0.74/1.11 backwardsubs = 1
% 0.74/1.11 selectoldest = 5
% 0.74/1.11
% 0.74/1.11 litorderings [0] = split
% 0.74/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.11
% 0.74/1.11 termordering = kbo
% 0.74/1.11
% 0.74/1.11 litapriori = 0
% 0.74/1.11 termapriori = 1
% 0.74/1.11 litaposteriori = 0
% 0.74/1.11 termaposteriori = 0
% 0.74/1.11 demodaposteriori = 0
% 0.74/1.11 ordereqreflfact = 0
% 0.74/1.11
% 0.74/1.11 litselect = negord
% 0.74/1.11
% 0.74/1.11 maxweight = 15
% 0.74/1.11 maxdepth = 30000
% 0.74/1.11 maxlength = 115
% 0.74/1.11 maxnrvars = 195
% 0.74/1.11 excuselevel = 1
% 0.74/1.11 increasemaxweight = 1
% 0.74/1.11
% 0.74/1.11 maxselected = 10000000
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11
% 0.74/1.11 showgenerated = 0
% 0.74/1.11 showkept = 0
% 0.74/1.11 showselected = 0
% 0.74/1.11 showdeleted = 0
% 0.74/1.11 showresimp = 1
% 0.74/1.11 showstatus = 2000
% 0.74/1.11
% 0.74/1.11 prologoutput = 0
% 0.74/1.11 nrgoals = 5000000
% 0.74/1.11 totalproof = 1
% 0.74/1.11
% 0.74/1.11 Symbols occurring in the translation:
% 0.74/1.11
% 0.74/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.11 . [1, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.74/1.11 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.74/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.11 gt [37, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.74/1.11 leq [39, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.74/1.11 lt [40, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.74/1.11 geq [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.74/1.11 pred [42, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.74/1.11 succ [43, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.11 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.11 uniform_int_rnd [46, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.64/2.06 dim [51, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.64/2.06 tptp_const_array1 [52, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.64/2.06 a_select2 [53, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.64/2.06 tptp_const_array2 [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 1.64/2.06 a_select3 [60, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.64/2.06 trans [63, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.64/2.06 inv [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.64/2.06 tptp_update3 [67, 4] (w:1, o:158, a:1, s:1, b:0),
% 1.64/2.06 tptp_madd [69, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.64/2.06 tptp_msub [70, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.64/2.06 tptp_mmul [71, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.64/2.06 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.64/2.06 sum [78, 3] (w:1, o:138, a:1, s:1, b:0),
% 1.64/2.06 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.64/2.06 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.64/2.06 plus [81, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.64/2.06 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.64/2.06 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.64/2.06 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.64/2.06 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.64/2.06 minus [86, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.64/2.06 tptp_update2 [91, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.64/2.06 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.64/2.06 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.64/2.06 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.64/2.06 tptp_float_0_001 [95, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.64/2.06 pv1341 [96, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.64/2.06 loopcounter [97, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.64/2.06 s_best7 [98, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.64/2.06 s_sworst7 [99, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.64/2.06 s_worst7 [100, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.64/2.06 alpha1 [101, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.64/2.06 alpha2 [102, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.64/2.06 alpha3 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.64/2.06 alpha4 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.64/2.06 alpha5 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.64/2.06 alpha6 [106, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.64/2.06 alpha7 [107, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.64/2.06 alpha8 [108, 1] (w:1, o:60, a:1, s:1, b:1),
% 1.64/2.06 alpha9 [109, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.64/2.06 alpha10 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.64/2.06 alpha11 [111, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.64/2.06 alpha12 [112, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.64/2.06 alpha13 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.64/2.06 alpha14 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.64/2.06 alpha15 [115, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.64/2.06 alpha16 [116, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.64/2.06 alpha17 [117, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.64/2.06 alpha18 [118, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.64/2.06 alpha19 [119, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.64/2.06 alpha20 [120, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.64/2.06 alpha21 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.64/2.06 alpha22 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.64/2.06 alpha23 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.64/2.06 alpha24 [124, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.64/2.06 alpha25 [125, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.64/2.06 alpha26 [126, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.64/2.06 alpha27 [127, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.64/2.06 alpha28 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.64/2.06 alpha29 [129, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.64/2.06 alpha30 [130, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.64/2.06 skol1 [131, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.64/2.06 skol2 [132, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.64/2.06 skol3 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.64/2.06 skol4 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.64/2.06 skol5 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.64/2.06 skol6 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.64/2.06 skol7 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.64/2.06 skol8 [138, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.64/2.06 skol9 [139, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.64/2.06 skol10 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.64/2.06 skol11 [141, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.64/2.06 skol12 [142, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.64/2.06 skol13 [143, 4] (w:1, o:156, a:1, s:1, b:1),
% 1.64/2.06 skol14 [144, 3] (w:1, o:139, a:1, s:1, b:1),
% 1.64/2.06 skol15 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.64/2.06 skol16 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.64/2.06 skol17 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.64/2.06 skol18 [148, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.64/2.06 skol19 [149, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.64/2.06 skol20 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.64/2.06 skol21 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.64/2.06 skol22 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.64/2.06 skol23 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.64/2.06 skol24 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.64/2.06 skol25 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.64/2.06 skol26 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.64/2.06 skol27 [157, 4] (w:1, o:157, a:1, s:1, b:1),
% 1.64/2.06 skol28 [158, 1] (w:1, o:57, a:1, s:1, b:1).
% 1.64/2.06
% 1.64/2.06
% 1.64/2.06 Starting Search:
% 1.64/2.06
% 1.64/2.06 *** allocated 15000 integers for clauses
% 1.64/2.06 *** allocated 22500 integers for clauses
% 1.64/2.06 *** allocated 15000 integers for termspace/termends
% 1.64/2.06 *** allocated 33750 integers for clauses
% 1.64/2.06 *** allocated 22500 integers for termspace/termends
% 1.64/2.06 *** allocated 50625 integers for clauses
% 1.64/2.06 *** allocated 75937 integers for clauses
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 33750 integers for termspace/termends
% 1.64/2.06 *** allocated 113905 integers for clauses
% 1.64/2.06 *** allocated 50625 integers for termspace/termends
% 1.64/2.06
% 1.64/2.06 Intermediate Status:
% 1.64/2.06 Generated: 8029
% 1.64/2.06 Kept: 2060
% 1.64/2.06 Inuse: 186
% 1.64/2.06 Deleted: 0
% 1.64/2.06 Deletedinuse: 0
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 170857 integers for clauses
% 1.64/2.06 *** allocated 75937 integers for termspace/termends
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 113905 integers for termspace/termends
% 1.64/2.06 *** allocated 256285 integers for clauses
% 1.64/2.06
% 1.64/2.06 Intermediate Status:
% 1.64/2.06 Generated: 17153
% 1.64/2.06 Kept: 4087
% 1.64/2.06 Inuse: 336
% 1.64/2.06 Deleted: 0
% 1.64/2.06 Deletedinuse: 0
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 170857 integers for termspace/termends
% 1.64/2.06 *** allocated 384427 integers for clauses
% 1.64/2.06
% 1.64/2.06 Intermediate Status:
% 1.64/2.06 Generated: 23235
% 1.64/2.06 Kept: 6087
% 1.64/2.06 Inuse: 457
% 1.64/2.06 Deleted: 0
% 1.64/2.06 Deletedinuse: 0
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 256285 integers for termspace/termends
% 1.64/2.06
% 1.64/2.06 Intermediate Status:
% 1.64/2.06 Generated: 31312
% 1.64/2.06 Kept: 8093
% 1.64/2.06 Inuse: 551
% 1.64/2.06 Deleted: 0
% 1.64/2.06 Deletedinuse: 0
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 576640 integers for clauses
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06
% 1.64/2.06 Intermediate Status:
% 1.64/2.06 Generated: 35993
% 1.64/2.06 Kept: 10101
% 1.64/2.06 Inuse: 691
% 1.64/2.06 Deleted: 0
% 1.64/2.06 Deletedinuse: 0
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 384427 integers for termspace/termends
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06
% 1.64/2.06 Intermediate Status:
% 1.64/2.06 Generated: 44389
% 1.64/2.06 Kept: 12209
% 1.64/2.06 Inuse: 800
% 1.64/2.06 Deleted: 15
% 1.64/2.06 Deletedinuse: 14
% 1.64/2.06
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06 *** allocated 864960 integers for clauses
% 1.64/2.06 Resimplifying inuse:
% 1.64/2.06 Done
% 1.64/2.06
% 1.64/2.06
% 1.64/2.06 Bliksems!, er is een bewijs:
% 1.64/2.06 % SZS status Theorem
% 1.64/2.06 % SZS output start Refutation
% 1.64/2.06
% 1.64/2.06 (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.64/2.06 (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.64/2.06 (177) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( s_sworst7, n3 )
% 1.64/2.06 }.
% 1.64/2.06 (179) {G0,W3,D2,L1,V0,M1} I { ! leq( s_sworst7, n3 ) }.
% 1.64/2.06 (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.64/2.06 (13733) {G1,W3,D2,L1,V0,M1} S(177);r(179) { ! gt( loopcounter, n0 ) }.
% 1.64/2.06 (13734) {G2,W0,D0,L0,V0,M0} R(13733,151);d(209);r(172) { }.
% 1.64/2.06
% 1.64/2.06
% 1.64/2.06 % SZS output end Refutation
% 1.64/2.06 found a proof!
% 1.64/2.06
% 1.64/2.06
% 1.64/2.06 Unprocessed initial clauses:
% 1.64/2.06
% 1.64/2.06 (13736) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.64/2.06 (13737) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.64/2.06 (13738) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.64/2.06 (13739) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.64/2.06 (13740) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.64/2.06 }.
% 1.64/2.06 (13741) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.64/2.06 (13742) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.64/2.06 (13743) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13744) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.64/2.06 (13745) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.64/2.06 (13746) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.64/2.06 (13747) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.64/2.06 (13748) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.64/2.06 (13749) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.64/2.06 (13750) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.64/2.06 (13751) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.64/2.06 (13752) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.64/2.06 (13753) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.64/2.06 , X ) }.
% 1.64/2.06 (13754) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.64/2.06 , X ) ) }.
% 1.64/2.06 (13755) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.64/2.06 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.64/2.06 (13756) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.64/2.06 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.64/2.06 V0 ), X, T ) = V0 }.
% 1.64/2.06 (13757) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.64/2.06 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.06 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.64/2.06 (13758) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.64/2.06 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.06 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.64/2.06 = a_select3( trans( X ), T, Z ) }.
% 1.64/2.06 (13759) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.64/2.06 (13760) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13761) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13762) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha10( X, Y, Z ) }.
% 1.64/2.06 (13763) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13764) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13765) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13766) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.64/2.06 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.06 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.64/2.06 (13767) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.64/2.06 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.06 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.64/2.06 a_select3( inv( X ), T, Z ) }.
% 1.64/2.06 (13768) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.64/2.06 (13769) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13770) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13771) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha11( X, Y, Z ) }.
% 1.64/2.06 (13772) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13773) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13774) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13775) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.64/2.06 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.64/2.06 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.64/2.06 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.64/2.06 (13776) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.64/2.06 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.06 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.64/2.06 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.64/2.06 ( X, U, U, W ), T, Z ) }.
% 1.64/2.06 (13777) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.64/2.06 (13778) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13779) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13780) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha12( X, Y, Z ) }.
% 1.64/2.06 (13781) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13782) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13783) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13784) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.64/2.06 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.64/2.06 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.64/2.06 ), U, T ) }.
% 1.64/2.06 (13785) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.64/2.06 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.64/2.06 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.64/2.06 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.64/2.06 (13786) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.64/2.06 (13787) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13788) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13789) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha22( X, Y, Z ) }.
% 1.64/2.06 (13790) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13791) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13792) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13793) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.64/2.06 , skol19( X, Y ) ) }.
% 1.64/2.06 (13794) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.64/2.06 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.64/2.06 }.
% 1.64/2.06 (13795) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.64/2.06 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.64/2.06 (13796) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.64/2.06 (13797) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13798) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13799) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha23( X, Y, Z ) }.
% 1.64/2.06 (13800) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13801) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13802) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13803) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.64/2.06 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.64/2.06 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.64/2.06 ), U, T ) }.
% 1.64/2.06 (13804) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.64/2.06 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.64/2.06 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.64/2.06 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.64/2.06 (13805) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.64/2.06 (13806) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13807) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13808) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha24( X, Y, Z ) }.
% 1.64/2.06 (13809) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13810) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13811) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13812) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.64/2.06 , skol21( X, Y ) ) }.
% 1.64/2.06 (13813) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.64/2.06 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.64/2.06 }.
% 1.64/2.06 (13814) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.64/2.06 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.64/2.06 (13815) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.64/2.06 (13816) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13817) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13818) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha25( X, Y, Z ) }.
% 1.64/2.06 (13819) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13820) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13821) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13822) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.64/2.06 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.06 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.64/2.06 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.64/2.06 (13823) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.64/2.06 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.06 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.64/2.06 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.64/2.06 ( X, trans( U ) ) ), T, Z ) }.
% 1.64/2.06 (13824) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.64/2.06 (13825) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13826) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13827) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha17( X, Y, Z ) }.
% 1.64/2.06 (13828) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13829) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13830) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13831) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.64/2.06 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.64/2.06 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.64/2.06 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.64/2.06 (13832) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.64/2.06 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.06 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.64/2.06 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.64/2.06 ( X, trans( W ) ) ), T, Z ) }.
% 1.64/2.06 (13833) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.64/2.06 (13834) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13835) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13836) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha18( X, Y, Z ) }.
% 1.64/2.06 (13837) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13838) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13839) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13840) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.64/2.06 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.64/2.06 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.64/2.06 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.64/2.06 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.64/2.06 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.64/2.06 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.64/2.06 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.64/2.06 (13841) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.64/2.06 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.64/2.06 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.64/2.06 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.64/2.06 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.64/2.06 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.64/2.06 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.64/2.06 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.64/2.06 ) ), W, U ) }.
% 1.64/2.06 (13842) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.64/2.06 (13843) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13844) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13845) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha29( X, Y, Z ) }.
% 1.64/2.06 (13846) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13847) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13848) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13849) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.64/2.06 ), skol25( X, Y ) ) }.
% 1.64/2.06 (13850) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.64/2.06 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.64/2.06 }.
% 1.64/2.06 (13851) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.64/2.06 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.64/2.06 (13852) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.64/2.06 (13853) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13854) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13855) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha30( X, Y, Z ) }.
% 1.64/2.06 (13856) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13857) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13858) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13859) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.64/2.06 skol26( X, Y ) ) }.
% 1.64/2.06 (13860) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.64/2.06 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.64/2.06 (13861) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.64/2.06 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.64/2.06 (13862) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.64/2.06 (13863) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.06 (13864) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.06 (13865) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.06 , X ), alpha28( X, Y, Z ) }.
% 1.64/2.06 (13866) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13867) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.64/2.06 (13868) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13869) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.64/2.06 (13870) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.64/2.06 }.
% 1.64/2.06 (13871) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.64/2.06 (13872) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.64/2.06 (13873) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.64/2.06 (13874) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.64/2.06 (13875) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.64/2.06 (13876) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.64/2.06 }.
% 1.64/2.06 (13877) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.64/2.06 }.
% 1.64/2.06 (13878) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.64/2.06 ) ) ) }.
% 1.64/2.06 (13879) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.64/2.06 ) ) ) }.
% 1.64/2.06 (13880) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.64/2.06 succ( X ) ) ) ) ) }.
% 1.64/2.06 (13881) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.64/2.06 succ( X ) ) ) ) ) }.
% 1.64/2.06 (13882) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.64/2.06 (13883) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.64/2.06 (13884) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.64/2.06 (13885) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.64/2.06 }.
% 1.64/2.06 (13886) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.64/2.06 }.
% 1.64/2.06 (13887) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.64/2.06 (13888) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.64/2.06 (13889) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.64/2.06 ) = T }.
% 1.64/2.06 (13890) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.64/2.06 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.64/2.06 (13891) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.64/2.06 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.64/2.06 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.06 (13892) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.64/2.06 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.64/2.06 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.06 (13893) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.64/2.06 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.64/2.06 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.06 (13894) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.64/2.06 (13895) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.64/2.06 (13896) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.64/2.06 , Y, Z ) }.
% 1.64/2.06 (13897) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.64/2.06 (13898) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.64/2.06 (13899) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.64/2.06 ) }.
% 1.64/2.06 (13900) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.64/2.06 }.
% 1.64/2.06 (13901) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.64/2.06 tptp_update2( Z, X, U ), Y ) = T }.
% 1.64/2.07 (13902) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.64/2.07 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.64/2.07 (13903) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.64/2.07 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.64/2.07 (13904) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.64/2.07 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.64/2.07 }.
% 1.64/2.07 (13905) {G0,W1,D1,L1,V0,M1} { true }.
% 1.64/2.07 (13906) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.64/2.07 (13907) {G0,W3,D2,L1,V0,M1} { leq( tptp_float_0_001, pv1341 ) }.
% 1.64/2.07 (13908) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.64/2.07 (13909) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.64/2.07 s_best7 ) }.
% 1.64/2.07 (13910) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.64/2.07 s_sworst7 ) }.
% 1.64/2.07 (13911) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.64/2.07 s_worst7 ) }.
% 1.64/2.07 (13912) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.64/2.07 s_best7, n3 ) }.
% 1.64/2.07 (13913) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.64/2.07 s_sworst7, n3 ) }.
% 1.64/2.07 (13914) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.64/2.07 s_worst7, n3 ) }.
% 1.64/2.07 (13915) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_best7 )
% 1.64/2.07 }.
% 1.64/2.07 (13916) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_sworst7
% 1.64/2.07 ) }.
% 1.64/2.07 (13917) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_worst7 )
% 1.64/2.07 }.
% 1.64/2.07 (13918) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_best7, n3 )
% 1.64/2.07 }.
% 1.64/2.07 (13919) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_sworst7, n3
% 1.64/2.07 ) }.
% 1.64/2.07 (13920) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_worst7, n3 )
% 1.64/2.07 }.
% 1.64/2.07 (13921) {G0,W3,D2,L1,V0,M1} { ! leq( s_sworst7, n3 ) }.
% 1.64/2.07 (13922) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.64/2.07 (13923) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.64/2.07 (13924) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.64/2.07 (13925) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.64/2.07 (13926) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.64/2.07 (13927) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.64/2.07 (13928) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.64/2.07 (13929) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.64/2.07 (13930) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.64/2.07 (13931) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.64/2.07 (13932) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.64/2.07 (13933) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.64/2.07 (13934) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.64/2.07 (13935) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.64/2.07 (13936) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.64/2.07 (13937) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.64/2.07 (13938) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.64/2.07 (13939) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.64/2.07 (13940) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.64/2.07 (13941) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.64/2.07 (13942) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.64/2.07 (13943) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.64/2.07 n1, X = n2, X = n3, X = n4 }.
% 1.64/2.07 (13944) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.64/2.07 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.64/2.07 (13945) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.64/2.07 (13946) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.64/2.07 n1 }.
% 1.64/2.07 (13947) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.64/2.07 n1, X = n2 }.
% 1.64/2.07 (13948) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.64/2.07 n1, X = n2, X = n3 }.
% 1.64/2.07 (13949) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.64/2.07 (13950) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.64/2.07 n5 }.
% 1.64/2.07 (13951) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.64/2.07 (13952) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.64/2.07 (13953) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.64/2.07
% 1.64/2.07
% 1.64/2.07 Total Proof:
% 1.64/2.07
% 1.64/2.07 subsumption: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X
% 1.64/2.07 ) }.
% 1.64/2.07 parent0: (13887) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X )
% 1.64/2.07 }.
% 1.64/2.07 substitution0:
% 1.64/2.07 X := X
% 1.64/2.07 Y := Y
% 1.64/2.07 end
% 1.64/2.07 permutation0:
% 1.64/2.07 0 ==> 0
% 1.64/2.07 1 ==> 1
% 1.64/2.07 end
% 1.64/2.07
% 1.64/2.07 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.64/2.07 parent0: (13908) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 *** allocated 576640 integers for termspace/termends
% 1.73/2.09 subsumption: (177) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq(
% 1.73/2.09 s_sworst7, n3 ) }.
% 1.73/2.09 parent0: (13919) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq(
% 1.73/2.09 s_sworst7, n3 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 1 ==> 1
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( s_sworst7, n3 ) }.
% 1.73/2.09 parent0: (13921) {G0,W3,D2,L1,V0,M1} { ! leq( s_sworst7, n3 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.73/2.09 parent0: (13951) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (16581) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.73/2.09 parent0[0]: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( s_sworst7, n3 ) }.
% 1.73/2.09 parent1[1]: (177) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq(
% 1.73/2.09 s_sworst7, n3 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (13733) {G1,W3,D2,L1,V0,M1} S(177);r(179) { ! gt( loopcounter
% 1.73/2.09 , n0 ) }.
% 1.73/2.09 parent0: (16581) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 0 ==> 0
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (16583) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), loopcounter )
% 1.73/2.09 }.
% 1.73/2.09 parent0[0]: (13733) {G1,W3,D2,L1,V0,M1} S(177);r(179) { ! gt( loopcounter,
% 1.73/2.09 n0 ) }.
% 1.73/2.09 parent1[1]: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X )
% 1.73/2.09 }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 X := n0
% 1.73/2.09 Y := loopcounter
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 paramod: (16584) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.73/2.09 parent0[0]: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.73/2.09 parent1[0; 2]: (16583) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ),
% 1.73/2.09 loopcounter ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 resolution: (16585) {G1,W0,D0,L0,V0,M0} { }.
% 1.73/2.09 parent0[0]: (16584) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.73/2.09 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 substitution1:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 subsumption: (13734) {G2,W0,D0,L0,V0,M0} R(13733,151);d(209);r(172) { }.
% 1.73/2.09 parent0: (16585) {G1,W0,D0,L0,V0,M0} { }.
% 1.73/2.09 substitution0:
% 1.73/2.09 end
% 1.73/2.09 permutation0:
% 1.73/2.09 end
% 1.73/2.09
% 1.73/2.09 Proof check complete!
% 1.73/2.09
% 1.73/2.09 Memory use:
% 1.73/2.09
% 1.73/2.09 space for terms: 337586
% 1.73/2.09 space for clauses: 614917
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 clauses generated: 48135
% 1.73/2.09 clauses kept: 13735
% 1.73/2.09 clauses selected: 854
% 1.73/2.09 clauses deleted: 19
% 1.73/2.09 clauses inuse deleted: 16
% 1.73/2.09
% 1.73/2.09 subsentry: 210230
% 1.73/2.09 literals s-matched: 71824
% 1.73/2.09 literals matched: 59582
% 1.73/2.09 full subsumption: 40541
% 1.73/2.09
% 1.73/2.09 checksum: -1953512154
% 1.73/2.09
% 1.73/2.09
% 1.73/2.09 Bliksem ended
%------------------------------------------------------------------------------