TSTP Solution File: SWV078+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 16:22:25 EDT 2022
% Result : Theorem 1.71s 2.09s
% Output : Refutation 1.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.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 05:58:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.12 *** allocated 10000 integers for termspace/termends
% 0.44/1.12 *** allocated 10000 integers for clauses
% 0.44/1.12 *** allocated 10000 integers for justifications
% 0.44/1.12 Bliksem 1.12
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Automatic Strategy Selection
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Clauses:
% 0.44/1.12
% 0.44/1.12 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.44/1.12 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.44/1.12 { ! gt( X, X ) }.
% 0.44/1.12 { leq( X, X ) }.
% 0.44/1.12 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.44/1.12 { ! lt( X, Y ), gt( Y, X ) }.
% 0.44/1.12 { ! gt( Y, X ), lt( X, Y ) }.
% 0.44/1.12 { ! geq( X, Y ), leq( Y, X ) }.
% 0.44/1.12 { ! leq( Y, X ), geq( X, Y ) }.
% 0.44/1.12 { ! gt( Y, X ), leq( X, Y ) }.
% 0.44/1.12 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.44/1.12 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.44/1.12 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.44/1.12 { gt( succ( X ), X ) }.
% 0.44/1.12 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.44/1.12 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.44/1.12 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.44/1.12 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.44/1.12 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.44/1.12 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.44/1.12 T ), X ) = T }.
% 0.44/1.12 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.44/1.13 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.44/1.13 { alpha11( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.44/1.13 a_select3( trans( X ), T, Z ) }.
% 0.44/1.13 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.44/1.13 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.13 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.44/1.13 ) }.
% 0.44/1.13 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.44/1.13 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.44/1.13 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.44/1.13 { alpha12( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.44/1.13 a_select3( inv( X ), T, Z ) }.
% 0.44/1.13 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.44/1.13 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.13 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.44/1.13 .
% 0.44/1.13 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.44/1.13 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.44/1.13 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.44/1.13 { alpha13( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.13 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.44/1.13 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.44/1.13 X, U, U, W ), T, Z ) }.
% 0.44/1.13 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.44/1.13 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.13 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.44/1.13 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.44/1.13 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.44/1.13 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.44/1.13 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.44/1.13 { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.44/1.13 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.44/1.13 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.44/1.13 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.44/1.13 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.44/1.13 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.44/1.13 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.44/1.13 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.44/1.13 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.44/1.13 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.44/1.13 { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.44/1.13 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.44/1.13 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.44/1.13 { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.44/1.13 ( X, Y ) }.
% 0.44/1.13 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.44/1.13 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.44/1.13 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.44/1.13 { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.44/1.13 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.44/1.13 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.44/1.13 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.44/1.13 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.44/1.13 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.44/1.13 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.44/1.13 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.44/1.13 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.44/1.13 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.44/1.13 { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.44/1.13 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.44/1.13 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.44/1.13 { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.44/1.13 ( X, Y ) }.
% 0.44/1.13 { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 0.44/1.13 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.44/1.13 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.44/1.13 { alpha18( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.44/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.44/1.13 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.44/1.13 U ) ) ), T, Z ) }.
% 0.44/1.13 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.44/1.13 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.44/1.13 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.44/1.13 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.44/1.13 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.44/1.13 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.44/1.13 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.44/1.13 { alpha19( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.44/1.13 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.44/1.13 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.44/1.13 W ) ) ), T, Z ) }.
% 0.44/1.13 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.44/1.13 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.44/1.13 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.44/1.13 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.44/1.13 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.44/1.13 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.44/1.13 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.44/1.13 { alpha8( Y ), alpha20( X, T ), alpha30( T, skol10( Z, T ), skol24( Z, T )
% 0.44/1.13 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.44/1.13 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.44/1.13 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.44/1.13 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.44/1.13 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.44/1.13 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.44/1.13 ) }.
% 0.44/1.13 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.44/1.13 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.44/1.13 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.44/1.13 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.44/1.13 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.44/1.13 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.44/1.13 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.44/1.13 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.44/1.13 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.44/1.13 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.44/1.13 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.44/1.13 { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.44/1.13 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.44/1.13 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.44/1.13 { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.44/1.13 alpha20( X, Y ) }.
% 0.44/1.13 { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 0.44/1.13 { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha31( X, Y, Z ) }.
% 0.44/1.13 { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y ) }.
% 0.44/1.13 { ! alpha8( X ), alpha29( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.44/1.13 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.44/1.13 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.44/1.13 { ! alpha29( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.44/1.13 ), alpha8( X ) }.
% 0.44/1.13 { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 0.44/1.13 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.44/1.13 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.44/1.13 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.44/1.13 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.44/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.44/1.13 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.44/1.13 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.44/1.13 { succ( tptp_minus_1 ) = n0 }.
% 0.44/1.13 { plus( X, n1 ) = succ( X ) }.
% 0.44/1.13 { plus( n1, X ) = succ( X ) }.
% 0.44/1.13 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.44/1.13 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.44/1.13 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.44/1.13 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.44/1.13 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.44/1.13 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.44/1.13 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.44/1.13 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.44/1.13 { minus( X, n1 ) = pred( X ) }.
% 0.44/1.13 { pred( succ( X ) ) = X }.
% 0.44/1.13 { succ( pred( X ) ) = X }.
% 0.44/1.13 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.44/1.13 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.44/1.13 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.44/1.13 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.44/1.13 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.44/1.13 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.44/1.13 , Y, V0 ), Z, T ) = W }.
% 0.44/1.13 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.44/1.13 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.44/1.13 }.
% 0.44/1.13 { alpha22( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.44/1.13 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.44/1.13 U, Z, T, W ), X, Y ) = W }.
% 0.44/1.13 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.44/1.13 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.44/1.13 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.44/1.13 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.44/1.13 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.44/1.13 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.44/1.13 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.44/1.13 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.44/1.13 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.44/1.13 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.44/1.13 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.44/1.13 T }.
% 0.44/1.13 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.44/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.44/1.13 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.44/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.44/1.13 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.44/1.13 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.44/1.13 { true }.
% 0.44/1.13 { ! def = use }.
% 0.44/1.13 { leq( n0, pv31 ) }.
% 0.44/1.13 { leq( pv31, minus( n5, n1 ) ) }.
% 0.44/1.13 { alpha10, n0 = pv70 }.
% 0.44/1.13 { alpha10, ! true }.
% 0.44/1.13 { ! alpha10, ! n0 = pv70 }.
% 0.44/1.13 { ! alpha10, ! leq( n0, pv31 ), ! leq( pv31, minus( n5, n1 ) ) }.
% 0.44/1.13 { n0 = pv70, leq( n0, pv31 ), alpha10 }.
% 0.44/1.13 { n0 = pv70, leq( pv31, minus( n5, n1 ) ), alpha10 }.
% 0.44/1.13 { gt( n5, n4 ) }.
% 0.44/1.13 { gt( n4, tptp_minus_1 ) }.
% 0.44/1.13 { gt( n5, tptp_minus_1 ) }.
% 0.44/1.13 { gt( n0, tptp_minus_1 ) }.
% 0.44/1.13 { gt( n1, tptp_minus_1 ) }.
% 0.44/1.13 { gt( n2, tptp_minus_1 ) }.
% 0.44/1.13 { gt( n3, tptp_minus_1 ) }.
% 0.44/1.13 { gt( n4, n0 ) }.
% 0.44/1.13 { gt( n5, n0 ) }.
% 0.44/1.13 { gt( n1, n0 ) }.
% 0.44/1.13 { gt( n2, n0 ) }.
% 0.44/1.13 { gt( n3, n0 ) }.
% 0.44/1.13 { gt( n4, n1 ) }.
% 0.44/1.13 { gt( n5, n1 ) }.
% 0.44/1.13 { gt( n2, n1 ) }.
% 0.44/1.13 { gt( n3, n1 ) }.
% 0.44/1.13 { gt( n4, n2 ) }.
% 0.44/1.13 { gt( n5, n2 ) }.
% 0.44/1.13 { gt( n3, n2 ) }.
% 0.44/1.13 { gt( n4, n3 ) }.
% 0.44/1.13 { gt( n5, n3 ) }.
% 0.44/1.13 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.44/1.13 .
% 0.44/1.13 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.44/1.13 = n5 }.
% 0.44/1.13 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.44/1.13 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.44/1.13 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.44/1.13 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.44/1.13 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.44/1.13 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.44/1.13 { succ( n0 ) = n1 }.
% 0.44/1.13 { succ( succ( n0 ) ) = n2 }.
% 0.44/1.13 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.44/1.13
% 0.44/1.13 percentage equality = 0.182836, percentage horn = 0.861244
% 0.44/1.13 This is a problem with some equality
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Options Used:
% 0.44/1.13
% 0.44/1.13 useres = 1
% 0.44/1.13 useparamod = 1
% 0.44/1.13 useeqrefl = 1
% 0.44/1.13 useeqfact = 1
% 0.44/1.13 usefactor = 1
% 0.44/1.13 usesimpsplitting = 0
% 0.44/1.13 usesimpdemod = 5
% 0.44/1.13 usesimpres = 3
% 0.44/1.13
% 0.44/1.13 resimpinuse = 1000
% 0.44/1.13 resimpclauses = 20000
% 0.44/1.13 substype = eqrewr
% 0.44/1.13 backwardsubs = 1
% 0.44/1.13 selectoldest = 5
% 0.44/1.13
% 0.44/1.13 litorderings [0] = split
% 0.44/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.13
% 0.44/1.13 termordering = kbo
% 0.44/1.13
% 0.44/1.13 litapriori = 0
% 0.44/1.13 termapriori = 1
% 0.44/1.13 litaposteriori = 0
% 0.44/1.13 termaposteriori = 0
% 0.44/1.13 demodaposteriori = 0
% 0.44/1.13 ordereqreflfact = 0
% 0.44/1.13
% 0.44/1.13 litselect = negord
% 0.44/1.13
% 0.44/1.13 maxweight = 15
% 0.44/1.13 maxdepth = 30000
% 0.44/1.13 maxlength = 115
% 0.44/1.13 maxnrvars = 195
% 0.44/1.13 excuselevel = 1
% 0.44/1.13 increasemaxweight = 1
% 0.44/1.13
% 0.44/1.13 maxselected = 10000000
% 0.44/1.13 maxnrclauses = 10000000
% 0.44/1.13
% 0.44/1.13 showgenerated = 0
% 0.44/1.13 showkept = 0
% 0.44/1.13 showselected = 0
% 0.44/1.13 showdeleted = 0
% 0.44/1.13 showresimp = 1
% 0.44/1.13 showstatus = 2000
% 0.44/1.13
% 0.44/1.13 prologoutput = 0
% 0.44/1.13 nrgoals = 5000000
% 0.44/1.13 totalproof = 1
% 0.44/1.13
% 0.44/1.13 Symbols occurring in the translation:
% 0.44/1.13
% 0.44/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.13 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.44/1.13 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 0.44/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.13 gt [37, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.44/1.13 leq [39, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.44/1.13 lt [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.44/1.13 geq [41, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.44/1.13 pred [42, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.44/1.13 succ [43, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.44/1.13 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.13 uniform_int_rnd [46, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.44/1.13 dim [51, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.44/1.13 tptp_const_array1 [52, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.44/1.13 a_select2 [53, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.44/1.13 tptp_const_array2 [59, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.44/1.13 a_select3 [60, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.44/1.13 trans [63, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.44/1.13 inv [64, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.44/1.13 tptp_update3 [67, 4] (w:1, o:155, a:1, s:1, b:0),
% 1.71/2.09 tptp_madd [69, 2] (w:1, o:111, a:1, s:1, b:0),
% 1.71/2.09 tptp_msub [70, 2] (w:1, o:112, a:1, s:1, b:0),
% 1.71/2.09 tptp_mmul [71, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.71/2.09 tptp_minus_1 [77, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.71/2.09 sum [78, 3] (w:1, o:135, a:1, s:1, b:0),
% 1.71/2.09 tptp_float_0_0 [79, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.71/2.09 n1 [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.71/2.09 plus [81, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.71/2.09 n2 [82, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.71/2.09 n3 [83, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.71/2.09 n4 [84, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.71/2.09 n5 [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.71/2.09 minus [86, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.71/2.09 tptp_update2 [91, 3] (w:1, o:139, a:1, s:1, b:0),
% 1.71/2.09 true [92, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.71/2.09 def [93, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.71/2.09 use [94, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.71/2.09 pv31 [95, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.71/2.09 pv70 [96, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.71/2.09 alpha1 [97, 2] (w:1, o:119, a:1, s:1, b:1),
% 1.71/2.09 alpha2 [98, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.71/2.09 alpha3 [99, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.71/2.09 alpha4 [100, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.71/2.09 alpha5 [101, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.71/2.09 alpha6 [102, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.71/2.09 alpha7 [103, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.71/2.09 alpha8 [104, 1] (w:1, o:57, a:1, s:1, b:1),
% 1.71/2.09 alpha9 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.71/2.09 alpha10 [106, 0] (w:1, o:46, a:1, s:1, b:1),
% 1.71/2.09 alpha11 [107, 3] (w:1, o:140, a:1, s:1, b:1),
% 1.71/2.09 alpha12 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 1.71/2.09 alpha13 [109, 3] (w:1, o:142, a:1, s:1, b:1),
% 1.71/2.09 alpha14 [110, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.71/2.09 alpha15 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.71/2.09 alpha16 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.71/2.09 alpha17 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.71/2.09 alpha18 [114, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.71/2.09 alpha19 [115, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.71/2.09 alpha20 [116, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.71/2.09 alpha21 [117, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.71/2.09 alpha22 [118, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.71/2.09 alpha23 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.71/2.09 alpha24 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.71/2.09 alpha25 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.71/2.09 alpha26 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.71/2.09 alpha27 [123, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.71/2.09 alpha28 [124, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.71/2.09 alpha29 [125, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.71/2.09 alpha30 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.71/2.09 alpha31 [127, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.71/2.09 skol1 [128, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.71/2.09 skol2 [129, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.71/2.09 skol3 [130, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.71/2.09 skol4 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.71/2.09 skol5 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.71/2.09 skol6 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.71/2.09 skol7 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.71/2.09 skol8 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.71/2.09 skol9 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.71/2.09 skol10 [137, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.71/2.09 skol11 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.71/2.09 skol12 [139, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.71/2.09 skol13 [140, 4] (w:1, o:153, a:1, s:1, b:1),
% 1.71/2.09 skol14 [141, 3] (w:1, o:136, a:1, s:1, b:1),
% 1.71/2.09 skol15 [142, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.71/2.09 skol16 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.71/2.09 skol17 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.71/2.09 skol18 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.71/2.09 skol19 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.71/2.09 skol20 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.71/2.09 skol21 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.71/2.09 skol22 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.71/2.09 skol23 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.71/2.09 skol24 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.71/2.09 skol25 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.71/2.09 skol26 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.71/2.09 skol27 [154, 4] (w:1, o:154, a:1, s:1, b:1),
% 1.71/2.09 skol28 [155, 1] (w:1, o:54, a:1, s:1, b:1).
% 1.71/2.09
% 1.71/2.09
% 1.71/2.09 Starting Search:
% 1.71/2.09
% 1.71/2.09 *** allocated 15000 integers for clauses
% 1.71/2.09 *** allocated 22500 integers for clauses
% 1.71/2.09 *** allocated 15000 integers for termspace/termends
% 1.71/2.09 *** allocated 33750 integers for clauses
% 1.71/2.09 *** allocated 50625 integers for clauses
% 1.71/2.09 *** allocated 22500 integers for termspace/termends
% 1.71/2.09 *** allocated 75937 integers for clauses
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 33750 integers for termspace/termends
% 1.71/2.09 *** allocated 113905 integers for clauses
% 1.71/2.09 *** allocated 50625 integers for termspace/termends
% 1.71/2.09
% 1.71/2.09 Intermediate Status:
% 1.71/2.09 Generated: 8036
% 1.71/2.09 Kept: 2064
% 1.71/2.09 Inuse: 185
% 1.71/2.09 Deleted: 1
% 1.71/2.09 Deletedinuse: 0
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 170857 integers for clauses
% 1.71/2.09 *** allocated 75937 integers for termspace/termends
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 256285 integers for clauses
% 1.71/2.09 *** allocated 113905 integers for termspace/termends
% 1.71/2.09
% 1.71/2.09 Intermediate Status:
% 1.71/2.09 Generated: 16175
% 1.71/2.09 Kept: 4092
% 1.71/2.09 Inuse: 325
% 1.71/2.09 Deleted: 1
% 1.71/2.09 Deletedinuse: 0
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 170857 integers for termspace/termends
% 1.71/2.09 *** allocated 384427 integers for clauses
% 1.71/2.09
% 1.71/2.09 Intermediate Status:
% 1.71/2.09 Generated: 23256
% 1.71/2.09 Kept: 6099
% 1.71/2.09 Inuse: 453
% 1.71/2.09 Deleted: 1
% 1.71/2.09 Deletedinuse: 0
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 256285 integers for termspace/termends
% 1.71/2.09
% 1.71/2.09 Intermediate Status:
% 1.71/2.09 Generated: 31434
% 1.71/2.09 Kept: 8189
% 1.71/2.09 Inuse: 545
% 1.71/2.09 Deleted: 1
% 1.71/2.09 Deletedinuse: 0
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 576640 integers for clauses
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09
% 1.71/2.09 Intermediate Status:
% 1.71/2.09 Generated: 36241
% 1.71/2.09 Kept: 10190
% 1.71/2.09 Inuse: 660
% 1.71/2.09 Deleted: 1
% 1.71/2.09 Deletedinuse: 0
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 384427 integers for termspace/termends
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09
% 1.71/2.09 Intermediate Status:
% 1.71/2.09 Generated: 44590
% 1.71/2.09 Kept: 12303
% 1.71/2.09 Inuse: 794
% 1.71/2.09 Deleted: 16
% 1.71/2.09 Deletedinuse: 14
% 1.71/2.09
% 1.71/2.09 Resimplifying inuse:
% 1.71/2.09 Done
% 1.71/2.09
% 1.71/2.09 *** allocated 864960 integers for clauses
% 1.71/2.09
% 1.71/2.09 Bliksems!, er is een bewijs:
% 1.71/2.09 % SZS status Theorem
% 1.71/2.09 % SZS output start Refutation
% 1.71/2.09
% 1.71/2.09 (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.71/2.09 (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 1.71/2.09 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv31 ) }.
% 1.71/2.09 (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv31, pred( n5 ) ) }.
% 1.71/2.09 (174) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 1.71/2.09 (176) {G2,W7,D3,L2,V0,M2} I;d(146);r(174) { ! leq( n0, pv31 ), ! leq( pv31
% 1.71/2.09 , pred( n5 ) ) }.
% 1.71/2.09 (13376) {G3,W0,D0,L0,V0,M0} S(176);r(171);r(172) { }.
% 1.71/2.09
% 1.71/2.09
% 1.71/2.09 % SZS output end Refutation
% 1.71/2.09 found a proof!
% 1.71/2.09
% 1.71/2.09
% 1.71/2.09 Unprocessed initial clauses:
% 1.71/2.09
% 1.71/2.09 (13378) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.71/2.09 (13379) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.71/2.09 (13380) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.71/2.09 (13381) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.71/2.09 (13382) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.71/2.09 }.
% 1.71/2.09 (13383) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.71/2.09 (13384) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.71/2.09 (13385) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.71/2.09 (13386) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.71/2.09 (13387) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.71/2.09 (13388) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.71/2.10 (13389) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.71/2.10 (13390) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.71/2.10 (13391) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.71/2.10 (13392) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.71/2.10 (13393) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.71/2.10 (13394) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.71/2.10 (13395) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.71/2.10 , X ) }.
% 1.71/2.10 (13396) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.71/2.10 , X ) ) }.
% 1.71/2.10 (13397) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.71/2.10 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.71/2.10 (13398) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.71/2.10 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.71/2.10 V0 ), X, T ) = V0 }.
% 1.71/2.10 (13399) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.71/2.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.71/2.10 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.71/2.10 (13400) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.71/2.10 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.71/2.10 = a_select3( trans( X ), T, Z ) }.
% 1.71/2.10 (13401) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 1.71/2.10 (13402) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13403) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13404) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha11( X, Y, Z ) }.
% 1.71/2.10 (13405) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13406) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13407) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13408) {G0,W31,D4,L6,V4,M6} { alpha12( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.71/2.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.71/2.10 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.71/2.10 (13409) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.71/2.10 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.71/2.10 a_select3( inv( X ), T, Z ) }.
% 1.71/2.10 (13410) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 1.71/2.10 (13411) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13412) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13413) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha12( X, Y, Z ) }.
% 1.71/2.10 (13414) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13415) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13416) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13417) {G0,W43,D4,L8,V6,M8} { alpha13( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.71/2.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.71/2.10 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.71/2.10 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.71/2.10 (13418) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.71/2.10 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.71/2.10 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.71/2.10 ( X, U, U, W ), T, Z ) }.
% 1.71/2.10 (13419) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 1.71/2.10 (13420) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13421) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13422) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha13( X, Y, Z ) }.
% 1.71/2.10 (13423) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13424) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13425) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13426) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ),
% 1.71/2.10 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.71/2.10 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.71/2.10 ), U, T ) }.
% 1.71/2.10 (13427) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.71/2.10 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.71/2.10 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.71/2.10 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.71/2.10 (13428) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.71/2.10 (13429) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13430) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13431) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha23( X, Y, Z ) }.
% 1.71/2.10 (13432) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13433) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13434) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13435) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y )
% 1.71/2.10 , skol19( X, Y ) ) }.
% 1.71/2.10 (13436) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.71/2.10 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.71/2.10 }.
% 1.71/2.10 (13437) {G0,W16,D3,L3,V4,M3} { ! alpha24( Y, Z, T ), a_select3( X, Z, T )
% 1.71/2.10 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.71/2.10 (13438) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.71/2.10 (13439) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13440) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13441) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha24( X, Y, Z ) }.
% 1.71/2.10 (13442) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13443) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13444) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13445) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ),
% 1.71/2.10 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.71/2.10 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.71/2.10 ), U, T ) }.
% 1.71/2.10 (13446) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.71/2.10 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.71/2.10 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.71/2.10 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.71/2.10 (13447) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.71/2.10 (13448) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13449) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13450) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha25( X, Y, Z ) }.
% 1.71/2.10 (13451) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13452) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13453) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13454) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y )
% 1.71/2.10 , skol21( X, Y ) ) }.
% 1.71/2.10 (13455) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.71/2.10 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.71/2.10 }.
% 1.71/2.10 (13456) {G0,W16,D3,L3,V4,M3} { ! alpha26( Y, Z, T ), a_select3( X, Z, T )
% 1.71/2.10 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.71/2.10 (13457) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 1.71/2.10 (13458) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13459) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13460) {G0,W13,D2,L4,V3,M4} { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha26( X, Y, Z ) }.
% 1.71/2.10 (13461) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13462) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13463) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13464) {G0,W39,D6,L6,V5,M6} { alpha18( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.71/2.10 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.71/2.10 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.71/2.10 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.71/2.10 (13465) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.71/2.10 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.10 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.71/2.10 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.71/2.10 ( X, trans( U ) ) ), T, Z ) }.
% 1.71/2.10 (13466) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 1.71/2.10 (13467) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13468) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13469) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha18( X, Y, Z ) }.
% 1.71/2.10 (13470) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13471) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13472) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13473) {G0,W39,D6,L6,V6,M6} { alpha19( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.71/2.10 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.71/2.10 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.71/2.10 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.71/2.10 (13474) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.71/2.10 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.10 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.71/2.10 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.71/2.10 ( X, trans( W ) ) ), T, Z ) }.
% 1.71/2.10 (13475) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 1.71/2.10 (13476) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13477) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13478) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha19( X, Y, Z ) }.
% 1.71/2.10 (13479) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13480) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13481) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13482) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), alpha30( T,
% 1.71/2.10 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.71/2.10 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.71/2.10 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.71/2.10 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.71/2.10 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.71/2.10 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.71/2.10 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.71/2.10 (13483) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), ! a_select3
% 1.71/2.10 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.71/2.10 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.71/2.10 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.71/2.10 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.71/2.10 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.71/2.10 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.71/2.10 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.71/2.10 ) ), W, U ) }.
% 1.71/2.10 (13484) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.71/2.10 (13485) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13486) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13487) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha30( X, Y, Z ) }.
% 1.71/2.10 (13488) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13489) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13490) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13491) {G0,W11,D3,L2,V2,M2} { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y
% 1.71/2.10 ), skol25( X, Y ) ) }.
% 1.71/2.10 (13492) {G0,W20,D4,L2,V2,M2} { ! alpha20( X, Y ), ! a_select3( X, skol11(
% 1.71/2.10 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.71/2.10 }.
% 1.71/2.10 (13493) {G0,W16,D3,L3,V4,M3} { ! alpha31( Y, Z, T ), a_select3( X, Z, T )
% 1.71/2.10 = a_select3( X, T, Z ), alpha20( X, Y ) }.
% 1.71/2.10 (13494) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 1.71/2.10 (13495) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13496) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13497) {G0,W13,D2,L4,V3,M4} { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha31( X, Y, Z ) }.
% 1.71/2.10 (13498) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13499) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13500) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13501) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha29( Y, skol12( X, Y ),
% 1.71/2.10 skol26( X, Y ) ) }.
% 1.71/2.10 (13502) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.71/2.10 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.71/2.10 (13503) {G0,W16,D3,L3,V3,M3} { ! alpha29( skol28( X ), Y, Z ), a_select3(
% 1.71/2.10 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.71/2.10 (13504) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 1.71/2.10 (13505) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.10 (13506) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.10 (13507) {G0,W13,D2,L4,V3,M4} { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.10 , X ), alpha29( X, Y, Z ) }.
% 1.71/2.10 (13508) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13509) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( Y, X ) }.
% 1.71/2.10 (13510) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13511) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.71/2.10 (13512) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.71/2.10 }.
% 1.71/2.10 (13513) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.71/2.10 (13514) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.71/2.10 (13515) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.71/2.10 (13516) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.71/2.10 (13517) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.71/2.10 (13518) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.71/2.10 }.
% 1.71/2.10 (13519) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.71/2.10 }.
% 1.71/2.10 (13520) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.71/2.10 ) ) ) }.
% 1.71/2.10 (13521) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.71/2.10 ) ) ) }.
% 1.71/2.10 (13522) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.71/2.10 succ( X ) ) ) ) ) }.
% 1.71/2.10 (13523) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.71/2.10 succ( X ) ) ) ) ) }.
% 1.71/2.10 (13524) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.71/2.10 (13525) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.71/2.10 (13526) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.71/2.10 (13527) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.71/2.10 }.
% 1.71/2.10 (13528) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.71/2.10 }.
% 1.71/2.10 (13529) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.71/2.10 (13530) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.71/2.10 (13531) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.71/2.10 ) = T }.
% 1.71/2.10 (13532) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.71/2.10 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.71/2.10 (13533) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.71/2.10 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.71/2.10 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.71/2.10 (13534) {G0,W34,D4,L6,V6,M6} { alpha22( Z, skol13( Z, T, U, W ), skol27( Z
% 1.71/2.10 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.71/2.10 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.71/2.10 (13535) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.71/2.10 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.71/2.10 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.71/2.10 (13536) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 1.71/2.10 (13537) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 1.71/2.10 (13538) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X
% 1.71/2.10 , Y, Z ) }.
% 1.71/2.10 (13539) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.71/2.10 (13540) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.71/2.10 (13541) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.71/2.10 ) }.
% 1.71/2.10 (13542) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.71/2.10 }.
% 1.71/2.10 (13543) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.71/2.10 tptp_update2( Z, X, U ), Y ) = T }.
% 1.71/2.10 (13544) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.71/2.10 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.71/2.10 (13545) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.71/2.10 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.71/2.10 (13546) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.71/2.10 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.71/2.10 }.
% 1.71/2.10 (13547) {G0,W1,D1,L1,V0,M1} { true }.
% 1.71/2.10 (13548) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.71/2.10 (13549) {G0,W3,D2,L1,V0,M1} { leq( n0, pv31 ) }.
% 1.71/2.10 (13550) {G0,W5,D3,L1,V0,M1} { leq( pv31, minus( n5, n1 ) ) }.
% 1.71/2.10 (13551) {G0,W4,D2,L2,V0,M2} { alpha10, n0 = pv70 }.
% 1.75/2.12 (13552) {G0,W2,D1,L2,V0,M2} { alpha10, ! true }.
% 1.75/2.12 (13553) {G0,W4,D2,L2,V0,M2} { ! alpha10, ! n0 = pv70 }.
% 1.75/2.12 (13554) {G0,W9,D3,L3,V0,M3} { ! alpha10, ! leq( n0, pv31 ), ! leq( pv31,
% 1.75/2.12 minus( n5, n1 ) ) }.
% 1.75/2.12 (13555) {G0,W7,D2,L3,V0,M3} { n0 = pv70, leq( n0, pv31 ), alpha10 }.
% 1.75/2.12 (13556) {G0,W9,D3,L3,V0,M3} { n0 = pv70, leq( pv31, minus( n5, n1 ) ),
% 1.75/2.12 alpha10 }.
% 1.75/2.12 (13557) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.75/2.12 (13558) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.75/2.12 (13559) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.75/2.12 (13560) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.75/2.12 (13561) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.75/2.12 (13562) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.75/2.12 (13563) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.75/2.12 (13564) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.75/2.12 (13565) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.75/2.12 (13566) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.75/2.12 (13567) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.75/2.12 (13568) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.75/2.12 (13569) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.75/2.12 (13570) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.75/2.12 (13571) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.75/2.12 (13572) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.75/2.12 (13573) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.75/2.12 (13574) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.75/2.12 (13575) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.75/2.12 (13576) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.75/2.12 (13577) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.75/2.12 (13578) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.75/2.12 n1, X = n2, X = n3, X = n4 }.
% 1.75/2.12 (13579) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.75/2.12 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.75/2.12 (13580) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.75/2.12 (13581) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.75/2.12 n1 }.
% 1.75/2.12 (13582) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.75/2.12 n1, X = n2 }.
% 1.75/2.12 (13583) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.75/2.12 n1, X = n2, X = n3 }.
% 1.75/2.12 (13584) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.75/2.12 (13585) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.75/2.12 n5 }.
% 1.75/2.12 (13586) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.75/2.12 (13587) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.75/2.12 (13588) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.75/2.12
% 1.75/2.12
% 1.75/2.12 Total Proof:
% 1.75/2.12
% 1.75/2.12 subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.75/2.12 parent0: (13524) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.75/2.12 substitution0:
% 1.75/2.12 X := X
% 1.75/2.12 end
% 1.75/2.12 permutation0:
% 1.75/2.12 0 ==> 0
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 subsumption: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 1.75/2.12 parent0: (13547) {G0,W1,D1,L1,V0,M1} { true }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 permutation0:
% 1.75/2.12 0 ==> 0
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 *** allocated 576640 integers for termspace/termends
% 1.75/2.12 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv31 ) }.
% 1.75/2.12 parent0: (13549) {G0,W3,D2,L1,V0,M1} { leq( n0, pv31 ) }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 permutation0:
% 1.75/2.12 0 ==> 0
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 paramod: (15737) {G1,W4,D3,L1,V0,M1} { leq( pv31, pred( n5 ) ) }.
% 1.75/2.12 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.75/2.12 parent1[0; 2]: (13550) {G0,W5,D3,L1,V0,M1} { leq( pv31, minus( n5, n1 ) )
% 1.75/2.12 }.
% 1.75/2.12 substitution0:
% 1.75/2.12 X := n5
% 1.75/2.12 end
% 1.75/2.12 substitution1:
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 subsumption: (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv31, pred( n5 ) )
% 1.75/2.12 }.
% 1.75/2.12 parent0: (15737) {G1,W4,D3,L1,V0,M1} { leq( pv31, pred( n5 ) ) }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 permutation0:
% 1.75/2.12 0 ==> 0
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 resolution: (16266) {G1,W1,D1,L1,V0,M1} { alpha10 }.
% 1.75/2.12 parent0[1]: (13552) {G0,W2,D1,L2,V0,M2} { alpha10, ! true }.
% 1.75/2.12 parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 substitution1:
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 subsumption: (174) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 1.75/2.12 parent0: (16266) {G1,W1,D1,L1,V0,M1} { alpha10 }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 permutation0:
% 1.75/2.12 0 ==> 0
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 paramod: (16976) {G1,W8,D3,L3,V0,M3} { ! leq( pv31, pred( n5 ) ), !
% 1.75/2.12 alpha10, ! leq( n0, pv31 ) }.
% 1.75/2.12 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.75/2.12 parent1[2; 3]: (13554) {G0,W9,D3,L3,V0,M3} { ! alpha10, ! leq( n0, pv31 )
% 1.75/2.12 , ! leq( pv31, minus( n5, n1 ) ) }.
% 1.75/2.12 substitution0:
% 1.75/2.12 X := n5
% 1.75/2.12 end
% 1.75/2.12 substitution1:
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 resolution: (16977) {G2,W7,D3,L2,V0,M2} { ! leq( pv31, pred( n5 ) ), ! leq
% 1.75/2.12 ( n0, pv31 ) }.
% 1.75/2.12 parent0[1]: (16976) {G1,W8,D3,L3,V0,M3} { ! leq( pv31, pred( n5 ) ), !
% 1.75/2.12 alpha10, ! leq( n0, pv31 ) }.
% 1.75/2.12 parent1[0]: (174) {G1,W1,D1,L1,V0,M1} I;r(169) { alpha10 }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 substitution1:
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 subsumption: (176) {G2,W7,D3,L2,V0,M2} I;d(146);r(174) { ! leq( n0, pv31 )
% 1.75/2.12 , ! leq( pv31, pred( n5 ) ) }.
% 1.75/2.12 parent0: (16977) {G2,W7,D3,L2,V0,M2} { ! leq( pv31, pred( n5 ) ), ! leq(
% 1.75/2.12 n0, pv31 ) }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 permutation0:
% 1.75/2.12 0 ==> 1
% 1.75/2.12 1 ==> 0
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 resolution: (16978) {G1,W4,D3,L1,V0,M1} { ! leq( pv31, pred( n5 ) ) }.
% 1.75/2.12 parent0[0]: (176) {G2,W7,D3,L2,V0,M2} I;d(146);r(174) { ! leq( n0, pv31 ),
% 1.75/2.12 ! leq( pv31, pred( n5 ) ) }.
% 1.75/2.12 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv31 ) }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 substitution1:
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 resolution: (16979) {G2,W0,D0,L0,V0,M0} { }.
% 1.75/2.12 parent0[0]: (16978) {G1,W4,D3,L1,V0,M1} { ! leq( pv31, pred( n5 ) ) }.
% 1.75/2.12 parent1[0]: (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv31, pred( n5 ) )
% 1.75/2.12 }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 substitution1:
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 subsumption: (13376) {G3,W0,D0,L0,V0,M0} S(176);r(171);r(172) { }.
% 1.75/2.12 parent0: (16979) {G2,W0,D0,L0,V0,M0} { }.
% 1.75/2.12 substitution0:
% 1.75/2.12 end
% 1.75/2.12 permutation0:
% 1.75/2.12 end
% 1.75/2.12
% 1.75/2.12 Proof check complete!
% 1.75/2.12
% 1.75/2.12 Memory use:
% 1.75/2.12
% 1.75/2.12 space for terms: 329333
% 1.75/2.12 space for clauses: 595885
% 1.75/2.12
% 1.75/2.12
% 1.75/2.12 clauses generated: 47303
% 1.75/2.12 clauses kept: 13377
% 1.75/2.12 clauses selected: 837
% 1.75/2.12 clauses deleted: 18
% 1.75/2.12 clauses inuse deleted: 14
% 1.75/2.12
% 1.75/2.12 subsentry: 168653
% 1.75/2.12 literals s-matched: 69570
% 1.75/2.12 literals matched: 57072
% 1.75/2.12 full subsumption: 39101
% 1.75/2.12
% 1.75/2.12 checksum: -1982514543
% 1.75/2.12
% 1.75/2.12
% 1.75/2.12 Bliksem ended
%------------------------------------------------------------------------------