TSTP Solution File: SWV136+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV136+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 16:22:40 EDT 2022
% Result : Theorem 1.64s 2.05s
% Output : Refutation 1.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV136+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 09:52:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/1.14 *** allocated 10000 integers for termspace/termends
% 0.47/1.14 *** allocated 10000 integers for clauses
% 0.47/1.14 *** allocated 10000 integers for justifications
% 0.47/1.14 Bliksem 1.12
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 Automatic Strategy Selection
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 Clauses:
% 0.47/1.14
% 0.47/1.14 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.47/1.14 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.47/1.14 { ! gt( X, X ) }.
% 0.47/1.14 { leq( X, X ) }.
% 0.47/1.14 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.47/1.14 { ! lt( X, Y ), gt( Y, X ) }.
% 0.47/1.14 { ! gt( Y, X ), lt( X, Y ) }.
% 0.47/1.14 { ! geq( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( Y, X ), geq( X, Y ) }.
% 0.47/1.14 { ! gt( Y, X ), leq( X, Y ) }.
% 0.47/1.14 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.47/1.14 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.47/1.14 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.47/1.14 { gt( succ( X ), X ) }.
% 0.47/1.14 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.47/1.14 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.47/1.14 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.47/1.14 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.47/1.14 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.47/1.14 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.47/1.14 T ), X ) = T }.
% 0.47/1.14 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.47/1.14 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.47/1.14 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.47/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.47/1.14 a_select3( trans( X ), T, Z ) }.
% 0.47/1.14 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.47/1.14 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.47/1.14 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.47/1.14 ) }.
% 0.47/1.14 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.47/1.14 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.47/1.14 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.47/1.14 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.47/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.47/1.14 a_select3( inv( X ), T, Z ) }.
% 0.47/1.14 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.47/1.14 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.47/1.14 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.47/1.14 .
% 0.47/1.14 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.47/1.14 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.47/1.14 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.47/1.14 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.47/1.14 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.47/1.14 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.47/1.14 X, U, U, W ), T, Z ) }.
% 0.47/1.14 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.47/1.14 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.47/1.14 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.47/1.14 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.47/1.14 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.47/1.14 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.47/1.14 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.47/1.14 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.47/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.47/1.14 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.47/1.14 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.47/1.14 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.47/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.47/1.14 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.47/1.14 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.47/1.14 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.47/1.14 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.47/1.14 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.47/1.14 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.47/1.14 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.47/1.14 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.47/1.14 ( X, Y ) }.
% 0.47/1.14 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.47/1.14 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.47/1.14 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.47/1.14 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.47/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.47/1.14 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.47/1.14 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.47/1.14 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.47/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.47/1.14 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.47/1.14 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.47/1.14 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.47/1.14 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.47/1.14 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.47/1.14 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.47/1.14 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.47/1.14 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.47/1.14 ( X, Y ) }.
% 0.47/1.14 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.47/1.14 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.47/1.14 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.47/1.14 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.47/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.47/1.14 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.47/1.14 U ) ) ), T, Z ) }.
% 0.47/1.14 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.47/1.14 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.47/1.14 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.47/1.14 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.47/1.14 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.47/1.14 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.47/1.14 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.47/1.14 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.47/1.14 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.47/1.14 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.47/1.14 W ) ) ), T, Z ) }.
% 0.47/1.14 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.47/1.14 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.47/1.14 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.47/1.14 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.47/1.14 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.47/1.14 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.47/1.14 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.47/1.14 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.47/1.14 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.47/1.14 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.47/1.14 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.47/1.14 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.47/1.14 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.47/1.14 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.47/1.14 ) }.
% 0.47/1.14 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.47/1.14 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.47/1.14 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.47/1.14 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.47/1.14 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.47/1.14 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.47/1.14 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.47/1.14 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.47/1.14 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.47/1.14 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.47/1.14 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.47/1.14 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.47/1.14 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.47/1.14 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.47/1.14 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.47/1.14 alpha19( X, Y ) }.
% 0.47/1.14 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.47/1.14 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.47/1.14 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.47/1.14 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.47/1.14 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.47/1.14 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.47/1.14 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.47/1.14 ), alpha8( X ) }.
% 0.47/1.14 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.47/1.14 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.47/1.14 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.47/1.14 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.47/1.14 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.47/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.47/1.14 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.47/1.14 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.47/1.14 { succ( tptp_minus_1 ) = n0 }.
% 0.47/1.14 { plus( X, n1 ) = succ( X ) }.
% 0.47/1.14 { plus( n1, X ) = succ( X ) }.
% 0.47/1.14 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.47/1.14 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.47/1.14 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.47/1.14 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.47/1.14 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.47/1.14 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.47/1.14 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.47/1.14 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.47/1.14 { minus( X, n1 ) = pred( X ) }.
% 0.47/1.14 { pred( succ( X ) ) = X }.
% 0.47/1.14 { succ( pred( X ) ) = X }.
% 0.47/1.14 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.47/1.14 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.47/1.14 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.47/1.14 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.47/1.14 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.47/1.14 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.47/1.14 , Y, V0 ), Z, T ) = W }.
% 0.47/1.14 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.47/1.14 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.47/1.14 }.
% 0.47/1.14 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.47/1.14 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.47/1.14 U, Z, T, W ), X, Y ) = W }.
% 0.47/1.14 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.47/1.14 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.47/1.14 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.47/1.14 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.47/1.14 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.47/1.14 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.47/1.14 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.47/1.14 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.47/1.14 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.47/1.14 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.47/1.14 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.47/1.14 T }.
% 0.47/1.14 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.47/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.47/1.14 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.47/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.47/1.14 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.47/1.14 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.47/1.14 { true }.
% 0.47/1.14 { ! def = use }.
% 0.47/1.14 { leq( n0, s_best7 ) }.
% 0.47/1.14 { leq( n0, s_sworst7 ) }.
% 0.47/1.14 { leq( n0, s_worst7 ) }.
% 0.47/1.14 { leq( n2, pv1325 ) }.
% 0.47/1.14 { leq( s_best7, n3 ) }.
% 0.47/1.14 { leq( s_sworst7, n3 ) }.
% 0.47/1.14 { leq( s_worst7, n3 ) }.
% 0.47/1.14 { leq( pv1325, n3 ) }.
% 0.47/1.14 { leq( a_select2( s_values7, pv1325 ), a_select2( s_values7, s_best7 ) ) }
% 0.47/1.14 .
% 0.47/1.14 { ! leq( n0, pv1325 ) }.
% 0.47/1.14 { gt( n5, n4 ) }.
% 0.47/1.14 { gt( n4, tptp_minus_1 ) }.
% 0.47/1.14 { gt( n5, tptp_minus_1 ) }.
% 0.47/1.14 { gt( n0, tptp_minus_1 ) }.
% 0.47/1.14 { gt( n1, tptp_minus_1 ) }.
% 0.47/1.14 { gt( n2, tptp_minus_1 ) }.
% 0.47/1.14 { gt( n3, tptp_minus_1 ) }.
% 0.47/1.14 { gt( n4, n0 ) }.
% 0.47/1.14 { gt( n5, n0 ) }.
% 0.47/1.14 { gt( n1, n0 ) }.
% 0.47/1.14 { gt( n2, n0 ) }.
% 0.47/1.14 { gt( n3, n0 ) }.
% 0.47/1.14 { gt( n4, n1 ) }.
% 0.47/1.14 { gt( n5, n1 ) }.
% 0.47/1.14 { gt( n2, n1 ) }.
% 0.47/1.14 { gt( n3, n1 ) }.
% 0.47/1.14 { gt( n4, n2 ) }.
% 0.47/1.14 { gt( n5, n2 ) }.
% 0.47/1.14 { gt( n3, n2 ) }.
% 0.47/1.14 { gt( n4, n3 ) }.
% 0.47/1.14 { gt( n5, n3 ) }.
% 0.47/1.14 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.47/1.14 .
% 0.47/1.14 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.47/1.14 = n5 }.
% 0.47/1.14 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.47/1.14 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.47/1.14 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.47/1.14 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.47/1.14 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.47/1.14 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.47/1.14 { succ( n0 ) = n1 }.
% 0.47/1.14 { succ( succ( n0 ) ) = n2 }.
% 0.47/1.14 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.47/1.14
% 0.47/1.14 percentage equality = 0.179439, percentage horn = 0.868545
% 0.47/1.14 This is a problem with some equality
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14
% 0.47/1.14 Options Used:
% 0.47/1.14
% 0.47/1.14 useres = 1
% 0.47/1.14 useparamod = 1
% 0.47/1.14 useeqrefl = 1
% 0.47/1.14 useeqfact = 1
% 0.47/1.14 usefactor = 1
% 0.47/1.14 usesimpsplitting = 0
% 0.47/1.14 usesimpdemod = 5
% 0.47/1.14 usesimpres = 3
% 0.47/1.14
% 0.47/1.14 resimpinuse = 1000
% 0.47/1.14 resimpclauses = 20000
% 0.47/1.14 substype = eqrewr
% 0.47/1.14 backwardsubs = 1
% 0.47/1.14 selectoldest = 5
% 0.47/1.14
% 0.47/1.14 litorderings [0] = split
% 0.47/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.47/1.14
% 0.47/1.14 termordering = kbo
% 0.47/1.14
% 0.47/1.14 litapriori = 0
% 0.47/1.14 termapriori = 1
% 0.47/1.14 litaposteriori = 0
% 0.47/1.14 termaposteriori = 0
% 0.47/1.14 demodaposteriori = 0
% 0.47/1.14 ordereqreflfact = 0
% 0.47/1.14
% 0.47/1.14 litselect = negord
% 0.47/1.14
% 0.47/1.14 maxweight = 15
% 0.47/1.14 maxdepth = 30000
% 0.47/1.14 maxlength = 115
% 0.47/1.14 maxnrvars = 195
% 0.47/1.14 excuselevel = 1
% 0.47/1.14 increasemaxweight = 1
% 0.47/1.14
% 0.47/1.14 maxselected = 10000000
% 0.47/1.14 maxnrclauses = 10000000
% 0.47/1.14
% 0.47/1.14 showgenerated = 0
% 0.47/1.14 showkept = 0
% 0.47/1.14 showselected = 0
% 0.47/1.14 showdeleted = 0
% 0.47/1.14 showresimp = 1
% 0.47/1.14 showstatus = 2000
% 0.47/1.14
% 0.47/1.14 prologoutput = 0
% 0.47/1.14 nrgoals = 5000000
% 0.47/1.14 totalproof = 1
% 0.47/1.14
% 0.47/1.14 Symbols occurring in the translation:
% 0.47/1.14
% 0.47/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/1.14 . [1, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.47/1.14 ! [4, 1] (w:0, o:49, a:1, s:1, b:0),
% 0.47/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.14 gt [37, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.47/1.14 leq [39, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.47/1.14 lt [40, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.47/1.14 geq [41, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.47/1.14 pred [42, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.47/1.14 succ [43, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.47/1.14 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.47/1.14 uniform_int_rnd [46, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.47/1.14 dim [51, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.47/1.14 tptp_const_array1 [52, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.47/1.14 a_select2 [53, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.47/1.14 tptp_const_array2 [59, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.47/1.14 a_select3 [60, 3] (w:1, o:140, a:1, s:1, b:0),
% 0.47/1.14 trans [63, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.47/1.14 inv [64, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.47/1.14 tptp_update3 [67, 4] (w:1, o:157, a:1, s:1, b:0),
% 1.64/2.05 tptp_madd [69, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.64/2.05 tptp_msub [70, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.64/2.05 tptp_mmul [71, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.64/2.05 tptp_minus_1 [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.64/2.05 sum [78, 3] (w:1, o:137, a:1, s:1, b:0),
% 1.64/2.05 tptp_float_0_0 [79, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.64/2.05 n1 [80, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.64/2.05 plus [81, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.64/2.05 n2 [82, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.64/2.05 n3 [83, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.64/2.05 n4 [84, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.64/2.05 n5 [85, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.64/2.05 minus [86, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.64/2.05 tptp_update2 [91, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.64/2.05 true [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.64/2.05 def [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.64/2.05 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.64/2.05 s_best7 [95, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.64/2.05 s_sworst7 [96, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.64/2.05 s_worst7 [97, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.64/2.05 pv1325 [98, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.64/2.05 s_values7 [99, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.64/2.05 alpha1 [100, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.64/2.05 alpha2 [101, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.64/2.05 alpha3 [102, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.64/2.05 alpha4 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.64/2.05 alpha5 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.64/2.05 alpha6 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.64/2.05 alpha7 [106, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.64/2.05 alpha8 [107, 1] (w:1, o:59, a:1, s:1, b:1),
% 1.64/2.05 alpha9 [108, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.64/2.05 alpha10 [109, 3] (w:1, o:142, a:1, s:1, b:1),
% 1.64/2.05 alpha11 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.64/2.05 alpha12 [111, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.64/2.05 alpha13 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.64/2.05 alpha14 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.64/2.05 alpha15 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.64/2.05 alpha16 [115, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.64/2.05 alpha17 [116, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.64/2.05 alpha18 [117, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.64/2.05 alpha19 [118, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.64/2.05 alpha20 [119, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.64/2.05 alpha21 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.64/2.05 alpha22 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.64/2.05 alpha23 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.64/2.05 alpha24 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.64/2.05 alpha25 [124, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.64/2.05 alpha26 [125, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.64/2.05 alpha27 [126, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.64/2.05 alpha28 [127, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.64/2.05 alpha29 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.64/2.05 alpha30 [129, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.64/2.05 skol1 [130, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.64/2.05 skol2 [131, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.64/2.05 skol3 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.64/2.05 skol4 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.64/2.05 skol5 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.64/2.05 skol6 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.64/2.05 skol7 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.64/2.05 skol8 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.64/2.05 skol9 [138, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.64/2.05 skol10 [139, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.64/2.05 skol11 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.64/2.05 skol12 [141, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.64/2.05 skol13 [142, 4] (w:1, o:155, a:1, s:1, b:1),
% 1.64/2.05 skol14 [143, 3] (w:1, o:138, a:1, s:1, b:1),
% 1.64/2.05 skol15 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.64/2.05 skol16 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.64/2.05 skol17 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.64/2.05 skol18 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.64/2.05 skol19 [148, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.64/2.05 skol20 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.64/2.05 skol21 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.64/2.05 skol22 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.64/2.05 skol23 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.64/2.05 skol24 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.64/2.05 skol25 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.64/2.05 skol26 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.64/2.05 skol27 [156, 4] (w:1, o:156, a:1, s:1, b:1),
% 1.64/2.05 skol28 [157, 1] (w:1, o:56, a:1, s:1, b:1).
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 Starting Search:
% 1.64/2.05
% 1.64/2.05 *** allocated 15000 integers for clauses
% 1.64/2.05 *** allocated 22500 integers for clauses
% 1.64/2.05 *** allocated 15000 integers for termspace/termends
% 1.64/2.05 *** allocated 33750 integers for clauses
% 1.64/2.05 *** allocated 50625 integers for clauses
% 1.64/2.05 *** allocated 22500 integers for termspace/termends
% 1.64/2.05 *** allocated 75937 integers for clauses
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 33750 integers for termspace/termends
% 1.64/2.05 *** allocated 113905 integers for clauses
% 1.64/2.05 *** allocated 50625 integers for termspace/termends
% 1.64/2.05
% 1.64/2.05 Intermediate Status:
% 1.64/2.05 Generated: 7973
% 1.64/2.05 Kept: 2000
% 1.64/2.05 Inuse: 168
% 1.64/2.05 Deleted: 0
% 1.64/2.05 Deletedinuse: 0
% 1.64/2.05
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 170857 integers for clauses
% 1.64/2.05 *** allocated 75937 integers for termspace/termends
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 113905 integers for termspace/termends
% 1.64/2.05 *** allocated 256285 integers for clauses
% 1.64/2.05
% 1.64/2.05 Intermediate Status:
% 1.64/2.05 Generated: 16466
% 1.64/2.05 Kept: 4003
% 1.64/2.05 Inuse: 331
% 1.64/2.05 Deleted: 0
% 1.64/2.05 Deletedinuse: 0
% 1.64/2.05
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 170857 integers for termspace/termends
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 384427 integers for clauses
% 1.64/2.05
% 1.64/2.05 Intermediate Status:
% 1.64/2.05 Generated: 23324
% 1.64/2.05 Kept: 6079
% 1.64/2.05 Inuse: 466
% 1.64/2.05 Deleted: 0
% 1.64/2.05 Deletedinuse: 0
% 1.64/2.05
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 256285 integers for termspace/termends
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 Intermediate Status:
% 1.64/2.05 Generated: 31286
% 1.64/2.05 Kept: 8079
% 1.64/2.05 Inuse: 566
% 1.64/2.05 Deleted: 0
% 1.64/2.05 Deletedinuse: 0
% 1.64/2.05
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 576640 integers for clauses
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 Intermediate Status:
% 1.64/2.05 Generated: 36422
% 1.64/2.05 Kept: 10106
% 1.64/2.05 Inuse: 736
% 1.64/2.05 Deleted: 0
% 1.64/2.05 Deletedinuse: 0
% 1.64/2.05
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05 *** allocated 384427 integers for termspace/termends
% 1.64/2.05 Resimplifying inuse:
% 1.64/2.05 Done
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 Intermediate Status:
% 1.64/2.05 Generated: 44339
% 1.64/2.05 Kept: 12213
% 1.64/2.05 Inuse: 805
% 1.64/2.05 Deleted: 13
% 1.64/2.05 Deletedinuse: 12
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 Bliksems!, er is een bewijs:
% 1.64/2.05 % SZS status Theorem
% 1.64/2.05 % SZS output start Refutation
% 1.64/2.05
% 1.64/2.05 (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 1.64/2.05 (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.64/2.05 (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.64/2.05 }.
% 1.64/2.05 (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.64/2.05 (174) {G0,W3,D2,L1,V0,M1} I { leq( n2, pv1325 ) }.
% 1.64/2.05 (180) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, pv1325 ) }.
% 1.64/2.05 (210) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.64/2.05 (211) {G1,W4,D3,L1,V0,M1} I;d(210) { succ( n1 ) ==> n2 }.
% 1.64/2.05 (1348) {G1,W3,D2,L1,V0,M1} R(180,9) { ! gt( pv1325, n0 ) }.
% 1.64/2.05 (1580) {G1,W4,D3,L1,V0,M1} R(174,14) { leq( n2, succ( pv1325 ) ) }.
% 1.64/2.05 (10329) {G2,W3,D2,L1,V0,M1} R(151,1348);d(210) { ! leq( n1, pv1325 ) }.
% 1.64/2.05 (12236) {G3,W0,D0,L0,V0,M0} R(10329,149);d(211);r(1580) { }.
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 % SZS output end Refutation
% 1.64/2.05 found a proof!
% 1.64/2.05
% 1.64/2.05
% 1.64/2.05 Unprocessed initial clauses:
% 1.64/2.05
% 1.64/2.05 (12238) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.64/2.05 (12239) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.64/2.05 (12240) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.64/2.05 (12241) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.64/2.05 (12242) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.64/2.05 }.
% 1.64/2.05 (12243) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.64/2.05 (12244) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.64/2.05 (12245) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12246) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.64/2.05 (12247) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.64/2.05 (12248) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.64/2.05 (12249) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.64/2.05 (12250) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.64/2.05 (12251) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.64/2.05 (12252) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.64/2.05 (12253) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.64/2.05 (12254) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.64/2.05 (12255) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.64/2.05 , X ) }.
% 1.64/2.05 (12256) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.64/2.05 , X ) ) }.
% 1.64/2.05 (12257) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.64/2.05 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.64/2.05 (12258) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.64/2.05 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.64/2.05 V0 ), X, T ) = V0 }.
% 1.64/2.05 (12259) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.64/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.05 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.64/2.05 (12260) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.64/2.05 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.64/2.05 = a_select3( trans( X ), T, Z ) }.
% 1.64/2.05 (12261) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.64/2.05 (12262) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12263) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12264) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha10( X, Y, Z ) }.
% 1.64/2.05 (12265) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12266) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12267) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12268) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.64/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.05 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.64/2.05 (12269) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.64/2.05 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.64/2.05 a_select3( inv( X ), T, Z ) }.
% 1.64/2.05 (12270) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.64/2.05 (12271) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12272) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12273) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha11( X, Y, Z ) }.
% 1.64/2.05 (12274) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12275) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12276) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12277) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.64/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.64/2.05 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.64/2.05 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.64/2.05 (12278) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.64/2.05 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.64/2.05 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.64/2.05 ( X, U, U, W ), T, Z ) }.
% 1.64/2.05 (12279) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.64/2.05 (12280) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12281) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12282) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha12( X, Y, Z ) }.
% 1.64/2.05 (12283) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12284) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12285) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12286) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.64/2.05 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.64/2.05 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.64/2.05 ), U, T ) }.
% 1.64/2.05 (12287) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.64/2.05 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.64/2.05 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.64/2.05 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.64/2.05 (12288) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.64/2.05 (12289) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12290) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12291) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha22( X, Y, Z ) }.
% 1.64/2.05 (12292) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12293) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12294) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12295) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.64/2.05 , skol19( X, Y ) ) }.
% 1.64/2.05 (12296) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.64/2.05 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.64/2.05 }.
% 1.64/2.05 (12297) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.64/2.05 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.64/2.05 (12298) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.64/2.05 (12299) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12300) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12301) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha23( X, Y, Z ) }.
% 1.64/2.05 (12302) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12303) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12304) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12305) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.64/2.05 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.64/2.05 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.64/2.05 ), U, T ) }.
% 1.64/2.05 (12306) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.64/2.05 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.64/2.05 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.64/2.05 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.64/2.05 (12307) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.64/2.05 (12308) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12309) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12310) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha24( X, Y, Z ) }.
% 1.64/2.05 (12311) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12312) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12313) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12314) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.64/2.05 , skol21( X, Y ) ) }.
% 1.64/2.05 (12315) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.64/2.05 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.64/2.05 }.
% 1.64/2.05 (12316) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.64/2.05 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.64/2.05 (12317) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.64/2.05 (12318) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12319) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12320) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha25( X, Y, Z ) }.
% 1.64/2.05 (12321) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12322) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12323) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12324) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.64/2.05 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.05 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.64/2.05 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.64/2.05 (12325) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.64/2.05 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.05 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.64/2.05 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.64/2.05 ( X, trans( U ) ) ), T, Z ) }.
% 1.64/2.05 (12326) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.64/2.05 (12327) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12328) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12329) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha17( X, Y, Z ) }.
% 1.64/2.05 (12330) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12331) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12332) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12333) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.64/2.05 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.64/2.05 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.64/2.05 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.64/2.05 (12334) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.64/2.05 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.64/2.05 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.64/2.05 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.64/2.05 ( X, trans( W ) ) ), T, Z ) }.
% 1.64/2.05 (12335) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.64/2.05 (12336) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12337) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12338) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha18( X, Y, Z ) }.
% 1.64/2.05 (12339) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12340) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12341) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12342) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.64/2.05 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.64/2.05 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.64/2.05 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.64/2.05 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.64/2.05 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.64/2.05 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.64/2.05 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.64/2.05 (12343) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.64/2.05 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.64/2.05 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.64/2.05 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.64/2.05 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.64/2.05 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.64/2.05 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.64/2.05 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.64/2.05 ) ), W, U ) }.
% 1.64/2.05 (12344) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.64/2.05 (12345) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12346) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12347) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha29( X, Y, Z ) }.
% 1.64/2.05 (12348) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12349) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12350) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12351) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.64/2.05 ), skol25( X, Y ) ) }.
% 1.64/2.05 (12352) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.64/2.05 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.64/2.05 }.
% 1.64/2.05 (12353) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.64/2.05 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.64/2.05 (12354) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.64/2.05 (12355) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12356) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12357) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha30( X, Y, Z ) }.
% 1.64/2.05 (12358) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12359) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12360) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12361) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.64/2.05 skol26( X, Y ) ) }.
% 1.64/2.05 (12362) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.64/2.05 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.64/2.05 (12363) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.64/2.05 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.64/2.05 (12364) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.64/2.05 (12365) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.05 (12366) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.05 (12367) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.05 , X ), alpha28( X, Y, Z ) }.
% 1.64/2.05 (12368) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12369) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.64/2.05 (12370) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12371) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.64/2.05 (12372) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.64/2.05 }.
% 1.64/2.05 (12373) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.64/2.05 (12374) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.64/2.05 (12375) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.64/2.05 (12376) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.64/2.05 (12377) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.64/2.05 (12378) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.64/2.05 }.
% 1.64/2.05 (12379) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.64/2.05 }.
% 1.64/2.05 (12380) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.64/2.05 ) ) ) }.
% 1.64/2.05 (12381) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.64/2.05 ) ) ) }.
% 1.64/2.05 (12382) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.64/2.05 succ( X ) ) ) ) ) }.
% 1.64/2.05 (12383) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.64/2.05 succ( X ) ) ) ) ) }.
% 1.64/2.05 (12384) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.64/2.05 (12385) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.64/2.05 (12386) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.64/2.05 (12387) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.64/2.05 }.
% 1.64/2.05 (12388) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.64/2.05 }.
% 1.64/2.05 (12389) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.64/2.05 (12390) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.64/2.05 (12391) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.64/2.05 ) = T }.
% 1.64/2.05 (12392) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.64/2.05 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.64/2.05 (12393) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.64/2.05 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.64/2.05 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.05 (12394) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.64/2.05 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.64/2.05 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.05 (12395) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.64/2.05 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.64/2.05 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.05 (12396) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.64/2.05 (12397) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.64/2.05 (12398) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.64/2.05 , Y, Z ) }.
% 1.64/2.05 (12399) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.64/2.05 (12400) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.64/2.05 (12401) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.64/2.05 ) }.
% 1.64/2.05 (12402) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.64/2.05 }.
% 1.64/2.05 (12403) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.64/2.05 tptp_update2( Z, X, U ), Y ) = T }.
% 1.64/2.05 (12404) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.64/2.05 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.64/2.05 (12405) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.64/2.05 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.64/2.05 (12406) {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 (12407) {G0,W1,D1,L1,V0,M1} { true }.
% 1.64/2.07 (12408) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.64/2.07 (12409) {G0,W3,D2,L1,V0,M1} { leq( n0, s_best7 ) }.
% 1.64/2.07 (12410) {G0,W3,D2,L1,V0,M1} { leq( n0, s_sworst7 ) }.
% 1.64/2.07 (12411) {G0,W3,D2,L1,V0,M1} { leq( n0, s_worst7 ) }.
% 1.64/2.07 (12412) {G0,W3,D2,L1,V0,M1} { leq( n2, pv1325 ) }.
% 1.64/2.07 (12413) {G0,W3,D2,L1,V0,M1} { leq( s_best7, n3 ) }.
% 1.64/2.07 (12414) {G0,W3,D2,L1,V0,M1} { leq( s_sworst7, n3 ) }.
% 1.64/2.07 (12415) {G0,W3,D2,L1,V0,M1} { leq( s_worst7, n3 ) }.
% 1.64/2.07 (12416) {G0,W3,D2,L1,V0,M1} { leq( pv1325, n3 ) }.
% 1.64/2.07 (12417) {G0,W7,D3,L1,V0,M1} { leq( a_select2( s_values7, pv1325 ),
% 1.64/2.07 a_select2( s_values7, s_best7 ) ) }.
% 1.64/2.07 (12418) {G0,W3,D2,L1,V0,M1} { ! leq( n0, pv1325 ) }.
% 1.64/2.07 (12419) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.64/2.07 (12420) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.64/2.07 (12421) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.64/2.07 (12422) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.64/2.07 (12423) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.64/2.07 (12424) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.64/2.07 (12425) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.64/2.07 (12426) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.64/2.07 (12427) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.64/2.07 (12428) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.64/2.07 (12429) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.64/2.07 (12430) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.64/2.07 (12431) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.64/2.07 (12432) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.64/2.07 (12433) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.64/2.07 (12434) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.64/2.07 (12435) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.64/2.07 (12436) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.64/2.07 (12437) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.64/2.07 (12438) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.64/2.07 (12439) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.64/2.07 (12440) {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 (12441) {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 (12442) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.64/2.07 (12443) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.64/2.07 n1 }.
% 1.64/2.07 (12444) {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 (12445) {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 (12446) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.64/2.07 (12447) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.64/2.07 n5 }.
% 1.64/2.07 (12448) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.64/2.07 (12449) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.64/2.07 (12450) {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: (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 1.64/2.07 parent0: (12247) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 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: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y )
% 1.64/2.07 ) }.
% 1.64/2.07 parent0: (12252) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) )
% 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: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ),
% 1.64/2.07 leq( X, Y ) }.
% 1.64/2.07 parent0: (12387) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq
% 1.64/2.07 ( X, Y ) }.
% 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: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X
% 1.64/2.07 ) }.
% 1.64/2.07 parent0: (12389) {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 *** allocated 864960 integers for clauses
% 1.64/2.07 subsumption: (174) {G0,W3,D2,L1,V0,M1} I { leq( n2, pv1325 ) }.
% 1.64/2.07 parent0: (12412) {G0,W3,D2,L1,V0,M1} { leq( n2, pv1325 ) }.
% 1.64/2.07 substitution0:
% 1.64/2.07 end
% 1.64/2.07 permutation0:
% 1.64/2.07 0 ==> 0
% 1.64/2.07 end
% 1.64/2.07
% 1.64/2.07 subsumption: (180) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, pv1325 ) }.
% 1.64/2.07 parent0: (12418) {G0,W3,D2,L1,V0,M1} { ! leq( n0, pv1325 ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 permutation0:
% 1.73/2.08 0 ==> 0
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 *** allocated 576640 integers for termspace/termends
% 1.73/2.08 subsumption: (210) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.73/2.08 parent0: (12448) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 permutation0:
% 1.73/2.08 0 ==> 0
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 paramod: (15827) {G1,W4,D3,L1,V0,M1} { succ( n1 ) = n2 }.
% 1.73/2.08 parent0[0]: (210) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.73/2.08 parent1[0; 2]: (12449) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 subsumption: (211) {G1,W4,D3,L1,V0,M1} I;d(210) { succ( n1 ) ==> n2 }.
% 1.73/2.08 parent0: (15827) {G1,W4,D3,L1,V0,M1} { succ( n1 ) = n2 }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 permutation0:
% 1.73/2.08 0 ==> 0
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 resolution: (15829) {G1,W3,D2,L1,V0,M1} { ! gt( pv1325, n0 ) }.
% 1.73/2.08 parent0[0]: (180) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, pv1325 ) }.
% 1.73/2.08 parent1[1]: (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 X := n0
% 1.73/2.08 Y := pv1325
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 subsumption: (1348) {G1,W3,D2,L1,V0,M1} R(180,9) { ! gt( pv1325, n0 ) }.
% 1.73/2.08 parent0: (15829) {G1,W3,D2,L1,V0,M1} { ! gt( pv1325, n0 ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 permutation0:
% 1.73/2.08 0 ==> 0
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 resolution: (15830) {G1,W4,D3,L1,V0,M1} { leq( n2, succ( pv1325 ) ) }.
% 1.73/2.08 parent0[0]: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) )
% 1.73/2.08 }.
% 1.73/2.08 parent1[0]: (174) {G0,W3,D2,L1,V0,M1} I { leq( n2, pv1325 ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 X := n2
% 1.73/2.08 Y := pv1325
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 subsumption: (1580) {G1,W4,D3,L1,V0,M1} R(174,14) { leq( n2, succ( pv1325 )
% 1.73/2.08 ) }.
% 1.73/2.08 parent0: (15830) {G1,W4,D3,L1,V0,M1} { leq( n2, succ( pv1325 ) ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 permutation0:
% 1.73/2.08 0 ==> 0
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 resolution: (15832) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), pv1325 ) }.
% 1.73/2.08 parent0[0]: (1348) {G1,W3,D2,L1,V0,M1} R(180,9) { ! gt( pv1325, n0 ) }.
% 1.73/2.08 parent1[1]: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X )
% 1.73/2.08 }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 X := n0
% 1.73/2.08 Y := pv1325
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 paramod: (15833) {G1,W3,D2,L1,V0,M1} { ! leq( n1, pv1325 ) }.
% 1.73/2.08 parent0[0]: (210) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.73/2.08 parent1[0; 2]: (15832) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), pv1325 )
% 1.73/2.08 }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 subsumption: (10329) {G2,W3,D2,L1,V0,M1} R(151,1348);d(210) { ! leq( n1,
% 1.73/2.08 pv1325 ) }.
% 1.73/2.08 parent0: (15833) {G1,W3,D2,L1,V0,M1} { ! leq( n1, pv1325 ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 permutation0:
% 1.73/2.08 0 ==> 0
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 resolution: (15835) {G1,W5,D3,L1,V0,M1} { ! leq( succ( n1 ), succ( pv1325
% 1.73/2.08 ) ) }.
% 1.73/2.08 parent0[0]: (10329) {G2,W3,D2,L1,V0,M1} R(151,1348);d(210) { ! leq( n1,
% 1.73/2.08 pv1325 ) }.
% 1.73/2.08 parent1[1]: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ),
% 1.73/2.08 leq( X, Y ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 X := n1
% 1.73/2.08 Y := pv1325
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 paramod: (15836) {G2,W4,D3,L1,V0,M1} { ! leq( n2, succ( pv1325 ) ) }.
% 1.73/2.08 parent0[0]: (211) {G1,W4,D3,L1,V0,M1} I;d(210) { succ( n1 ) ==> n2 }.
% 1.73/2.08 parent1[0; 2]: (15835) {G1,W5,D3,L1,V0,M1} { ! leq( succ( n1 ), succ(
% 1.73/2.08 pv1325 ) ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 resolution: (15837) {G2,W0,D0,L0,V0,M0} { }.
% 1.73/2.08 parent0[0]: (15836) {G2,W4,D3,L1,V0,M1} { ! leq( n2, succ( pv1325 ) ) }.
% 1.73/2.08 parent1[0]: (1580) {G1,W4,D3,L1,V0,M1} R(174,14) { leq( n2, succ( pv1325 )
% 1.73/2.08 ) }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 substitution1:
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 subsumption: (12236) {G3,W0,D0,L0,V0,M0} R(10329,149);d(211);r(1580) { }.
% 1.73/2.08 parent0: (15837) {G2,W0,D0,L0,V0,M0} { }.
% 1.73/2.08 substitution0:
% 1.73/2.08 end
% 1.73/2.08 permutation0:
% 1.73/2.08 end
% 1.73/2.08
% 1.73/2.08 Proof check complete!
% 1.73/2.08
% 1.73/2.08 Memory use:
% 1.73/2.08
% 1.73/2.08 space for terms: 310142
% 1.73/2.08 space for clauses: 544656
% 1.73/2.08
% 1.73/2.08
% 1.73/2.08 clauses generated: 44394
% 1.73/2.08 clauses kept: 12237
% 1.73/2.08 clauses selected: 812
% 1.73/2.08 clauses deleted: 13
% 1.73/2.08 clauses inuse deleted: 12
% 1.73/2.08
% 1.73/2.08 subsentry: 212940
% 1.73/2.08 literals s-matched: 64986
% 1.73/2.08 literals matched: 52969
% 1.73/2.08 full subsumption: 36573
% 1.73/2.08
% 1.73/2.08 checksum: -124664657
% 1.73/2.08
% 1.73/2.08
% 1.73/2.08 Bliksem ended
%------------------------------------------------------------------------------