TSTP Solution File: SWV062+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV062+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 16:22:21 EDT 2022
% Result : Theorem 1.75s 2.13s
% Output : Refutation 1.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV062+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 08:26:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09
% 0.72/1.09 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.72/1.09 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.72/1.09 { ! gt( X, X ) }.
% 0.72/1.09 { leq( X, X ) }.
% 0.72/1.09 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.72/1.09 { ! lt( X, Y ), gt( Y, X ) }.
% 0.72/1.09 { ! gt( Y, X ), lt( X, Y ) }.
% 0.72/1.09 { ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.09 { ! gt( Y, X ), leq( X, Y ) }.
% 0.72/1.09 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.72/1.09 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.72/1.09 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.72/1.09 { gt( succ( X ), X ) }.
% 0.72/1.09 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.72/1.09 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.72/1.09 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.72/1.09 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.72/1.09 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.72/1.09 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.72/1.09 T ), X ) = T }.
% 0.72/1.09 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.72/1.09 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.72/1.09 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.09 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.72/1.09 a_select3( trans( X ), T, Z ) }.
% 0.72/1.09 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.72/1.09 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.09 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.72/1.09 ) }.
% 0.72/1.09 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.72/1.09 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.72/1.09 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.72/1.09 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.09 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.72/1.09 a_select3( inv( X ), T, Z ) }.
% 0.72/1.09 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.72/1.09 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.09 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.72/1.09 .
% 0.72/1.09 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.72/1.09 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.72/1.09 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.72/1.09 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.09 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.72/1.09 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.72/1.09 X, U, U, W ), T, Z ) }.
% 0.72/1.09 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.72/1.09 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.09 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.72/1.09 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.72/1.09 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.72/1.09 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.72/1.09 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.72/1.09 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.72/1.09 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.72/1.09 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.72/1.09 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.72/1.09 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.72/1.09 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.72/1.09 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.72/1.09 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.72/1.09 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.72/1.09 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.09 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.72/1.09 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.72/1.09 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.72/1.09 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.72/1.09 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.72/1.09 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.72/1.09 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.72/1.09 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.72/1.09 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.72/1.09 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.72/1.09 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.72/1.09 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.72/1.09 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.72/1.09 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.72/1.09 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.72/1.09 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.72/1.09 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.72/1.09 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.72/1.09 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.72/1.09 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.72/1.09 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.72/1.09 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.72/1.09 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.72/1.09 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.72/1.09 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.72/1.09 U ) ) ), T, Z ) }.
% 0.72/1.09 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.72/1.09 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.72/1.09 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.72/1.09 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.72/1.09 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.72/1.09 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.72/1.09 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.72/1.09 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.72/1.09 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.72/1.09 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.72/1.09 W ) ) ), T, Z ) }.
% 0.72/1.09 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.72/1.09 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.72/1.09 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.72/1.09 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.72/1.09 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.72/1.09 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.72/1.09 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.72/1.09 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.72/1.09 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.72/1.09 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.72/1.09 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.72/1.09 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.72/1.09 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.72/1.09 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.72/1.09 ) }.
% 0.72/1.09 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.72/1.09 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.72/1.09 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.72/1.09 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.72/1.09 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.72/1.09 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.72/1.09 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.72/1.09 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.72/1.09 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.72/1.09 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.72/1.09 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.72/1.09 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.72/1.09 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.72/1.09 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.72/1.09 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.72/1.09 alpha19( X, Y ) }.
% 0.72/1.09 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.72/1.09 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.72/1.09 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.72/1.09 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.72/1.09 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.72/1.09 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.72/1.09 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.72/1.09 ), alpha8( X ) }.
% 0.72/1.09 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.72/1.09 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.72/1.09 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.72/1.09 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.72/1.09 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.72/1.09 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.72/1.09 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.72/1.09 { succ( tptp_minus_1 ) = n0 }.
% 0.72/1.09 { plus( X, n1 ) = succ( X ) }.
% 0.72/1.09 { plus( n1, X ) = succ( X ) }.
% 0.72/1.09 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.72/1.09 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.72/1.09 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.72/1.09 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.72/1.09 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.72/1.09 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.72/1.09 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.72/1.09 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.72/1.09 { minus( X, n1 ) = pred( X ) }.
% 0.72/1.09 { pred( succ( X ) ) = X }.
% 0.72/1.09 { succ( pred( X ) ) = X }.
% 0.72/1.09 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.72/1.09 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.72/1.09 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.72/1.09 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.72/1.09 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.72/1.09 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.72/1.09 , Y, V0 ), Z, T ) = W }.
% 0.72/1.09 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.72/1.09 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.72/1.09 }.
% 0.72/1.09 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.72/1.09 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.72/1.09 U, Z, T, W ), X, Y ) = W }.
% 0.72/1.09 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.72/1.09 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.72/1.09 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.72/1.09 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.72/1.09 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.72/1.09 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.72/1.09 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.72/1.09 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.72/1.09 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.72/1.09 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.72/1.09 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.72/1.09 T }.
% 0.72/1.09 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.72/1.09 tptp_update2( Z, Y, T ), X ) = T }.
% 0.72/1.09 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.72/1.09 tptp_update2( Z, Y, T ), X ) = T }.
% 0.72/1.09 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.72/1.09 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.72/1.09 { true }.
% 0.72/1.09 { ! def = use }.
% 0.72/1.09 { leq( n0, pv10 ) }.
% 0.72/1.09 { leq( n0, pv41 ) }.
% 0.72/1.09 { leq( n0, pv43 ) }.
% 0.72/1.09 { leq( pv10, minus( n135300, n1 ) ) }.
% 0.72/1.09 { leq( pv41, minus( n5, n1 ) ) }.
% 0.72/1.09 { leq( pv43, minus( n5, n1 ) ) }.
% 0.72/1.09 { ! leq( n0, pv10 ), ! leq( n0, pv41 ), ! leq( n0, pv43 ), ! leq( pv10,
% 0.72/1.09 minus( n135300, n1 ) ), ! leq( pv41, minus( n5, n1 ) ), ! leq( pv43,
% 0.72/1.09 minus( n5, n1 ) ) }.
% 0.72/1.09 { gt( n5, n4 ) }.
% 0.72/1.09 { gt( n135300, n4 ) }.
% 0.72/1.09 { gt( n135300, n5 ) }.
% 0.72/1.09 { gt( n4, tptp_minus_1 ) }.
% 0.72/1.09 { gt( n5, tptp_minus_1 ) }.
% 0.72/1.09 { gt( n135300, tptp_minus_1 ) }.
% 0.72/1.09 { gt( n0, tptp_minus_1 ) }.
% 0.72/1.09 { gt( n1, tptp_minus_1 ) }.
% 0.72/1.09 { gt( n2, tptp_minus_1 ) }.
% 0.72/1.09 { gt( n3, tptp_minus_1 ) }.
% 0.72/1.09 { gt( n4, n0 ) }.
% 0.72/1.09 { gt( n5, n0 ) }.
% 0.72/1.09 { gt( n135300, n0 ) }.
% 0.72/1.09 { gt( n1, n0 ) }.
% 0.72/1.09 { gt( n2, n0 ) }.
% 0.72/1.09 { gt( n3, n0 ) }.
% 0.72/1.09 { gt( n4, n1 ) }.
% 0.72/1.09 { gt( n5, n1 ) }.
% 0.72/1.09 { gt( n135300, n1 ) }.
% 0.72/1.09 { gt( n2, n1 ) }.
% 0.72/1.09 { gt( n3, n1 ) }.
% 0.72/1.09 { gt( n4, n2 ) }.
% 0.72/1.09 { gt( n5, n2 ) }.
% 0.72/1.09 { gt( n135300, n2 ) }.
% 0.72/1.09 { gt( n3, n2 ) }.
% 0.72/1.09 { gt( n4, n3 ) }.
% 0.72/1.09 { gt( n5, n3 ) }.
% 0.72/1.09 { gt( n135300, n3 ) }.
% 0.72/1.09 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.72/1.09 .
% 0.72/1.09 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.72/1.09 = n5 }.
% 0.72/1.09 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.72/1.09 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.72/1.09 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.72/1.09 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.72/1.09 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.72/1.09 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.72/1.09 { succ( n0 ) = n1 }.
% 0.72/1.09 { succ( succ( n0 ) ) = n2 }.
% 0.72/1.09 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.72/1.09
% 0.72/1.09 percentage equality = 0.176471, percentage horn = 0.870968
% 0.72/1.09 This is a problem with some equality
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 1
% 0.72/1.09 useeqrefl = 1
% 0.72/1.09 useeqfact = 1
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 5
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = eqrewr
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.09
% 0.72/1.09 termordering = kbo
% 0.72/1.09
% 0.72/1.09 litapriori = 0
% 0.72/1.09 termapriori = 1
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negord
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 0
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 gt [37, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.09 leq [39, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.72/1.09 lt [40, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.09 geq [41, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.72/1.09 pred [42, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.09 succ [43, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.09 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.09 uniform_int_rnd [46, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.72/1.09 dim [51, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.72/1.09 tptp_const_array1 [52, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.72/1.09 a_select2 [53, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.72/1.09 tptp_const_array2 [59, 3] (w:1, o:138, a:1, s:1, b:0),
% 1.75/2.13 a_select3 [60, 3] (w:1, o:139, a:1, s:1, b:0),
% 1.75/2.13 trans [63, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.75/2.13 inv [64, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.75/2.13 tptp_update3 [67, 4] (w:1, o:156, a:1, s:1, b:0),
% 1.75/2.13 tptp_madd [69, 2] (w:1, o:112, a:1, s:1, b:0),
% 1.75/2.13 tptp_msub [70, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.75/2.13 tptp_mmul [71, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.75/2.13 tptp_minus_1 [77, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.75/2.13 sum [78, 3] (w:1, o:136, a:1, s:1, b:0),
% 1.75/2.13 tptp_float_0_0 [79, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.75/2.13 n1 [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.75/2.13 plus [81, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.75/2.13 n2 [82, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.75/2.13 n3 [83, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.75/2.13 n4 [84, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.75/2.13 n5 [85, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.75/2.13 minus [86, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.75/2.13 tptp_update2 [91, 3] (w:1, o:140, a:1, s:1, b:0),
% 1.75/2.13 true [92, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.75/2.13 def [93, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.75/2.13 use [94, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.75/2.13 pv10 [95, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.75/2.13 pv41 [96, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.75/2.13 pv43 [97, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.75/2.13 n135300 [98, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.75/2.13 alpha1 [99, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.75/2.13 alpha2 [100, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.75/2.13 alpha3 [101, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.75/2.13 alpha4 [102, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.75/2.13 alpha5 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.75/2.13 alpha6 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.75/2.13 alpha7 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.75/2.13 alpha8 [106, 1] (w:1, o:58, a:1, s:1, b:1),
% 1.75/2.13 alpha9 [107, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.75/2.13 alpha10 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 1.75/2.13 alpha11 [109, 3] (w:1, o:142, a:1, s:1, b:1),
% 1.75/2.13 alpha12 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.75/2.13 alpha13 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.75/2.13 alpha14 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.75/2.13 alpha15 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.75/2.13 alpha16 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.75/2.13 alpha17 [115, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.75/2.13 alpha18 [116, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.75/2.13 alpha19 [117, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.75/2.13 alpha20 [118, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.75/2.13 alpha21 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.75/2.13 alpha22 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.75/2.13 alpha23 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.75/2.13 alpha24 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.75/2.13 alpha25 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.75/2.13 alpha26 [124, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.75/2.13 alpha27 [125, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.75/2.13 alpha28 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.75/2.13 alpha29 [127, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.75/2.13 alpha30 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.75/2.13 skol1 [129, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.75/2.13 skol2 [130, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.75/2.13 skol3 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.75/2.13 skol4 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.75/2.13 skol5 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.75/2.13 skol6 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.75/2.13 skol7 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.75/2.13 skol8 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.75/2.13 skol9 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.75/2.13 skol10 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.75/2.13 skol11 [139, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.75/2.13 skol12 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.75/2.13 skol13 [141, 4] (w:1, o:154, a:1, s:1, b:1),
% 1.75/2.13 skol14 [142, 3] (w:1, o:137, a:1, s:1, b:1),
% 1.75/2.13 skol15 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.75/2.13 skol16 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.75/2.13 skol17 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.75/2.13 skol18 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.75/2.13 skol19 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.75/2.13 skol20 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.75/2.13 skol21 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.75/2.13 skol22 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.75/2.13 skol23 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.75/2.13 skol24 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.75/2.13 skol25 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.75/2.13 skol26 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.75/2.13 skol27 [155, 4] (w:1, o:155, a:1, s:1, b:1),
% 1.75/2.13 skol28 [156, 1] (w:1, o:55, a:1, s:1, b:1).
% 1.75/2.13
% 1.75/2.13
% 1.75/2.13 Starting Search:
% 1.75/2.13
% 1.75/2.13 *** allocated 15000 integers for clauses
% 1.75/2.13 *** allocated 22500 integers for clauses
% 1.75/2.13 *** allocated 15000 integers for termspace/termends
% 1.75/2.13 *** allocated 33750 integers for clauses
% 1.75/2.13 *** allocated 50625 integers for clauses
% 1.75/2.13 *** allocated 22500 integers for termspace/termends
% 1.75/2.13 *** allocated 75937 integers for clauses
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 33750 integers for termspace/termends
% 1.75/2.13 *** allocated 113905 integers for clauses
% 1.75/2.13 *** allocated 50625 integers for termspace/termends
% 1.75/2.13
% 1.75/2.13 Intermediate Status:
% 1.75/2.13 Generated: 7955
% 1.75/2.13 Kept: 2035
% 1.75/2.13 Inuse: 171
% 1.75/2.13 Deleted: 0
% 1.75/2.13 Deletedinuse: 0
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 170857 integers for clauses
% 1.75/2.13 *** allocated 75937 integers for termspace/termends
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 113905 integers for termspace/termends
% 1.75/2.13 *** allocated 256285 integers for clauses
% 1.75/2.13
% 1.75/2.13 Intermediate Status:
% 1.75/2.13 Generated: 16618
% 1.75/2.13 Kept: 4098
% 1.75/2.13 Inuse: 331
% 1.75/2.13 Deleted: 0
% 1.75/2.13 Deletedinuse: 0
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 170857 integers for termspace/termends
% 1.75/2.13 *** allocated 384427 integers for clauses
% 1.75/2.13
% 1.75/2.13 Intermediate Status:
% 1.75/2.13 Generated: 23379
% 1.75/2.13 Kept: 6098
% 1.75/2.13 Inuse: 456
% 1.75/2.13 Deleted: 0
% 1.75/2.13 Deletedinuse: 0
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 256285 integers for termspace/termends
% 1.75/2.13
% 1.75/2.13 Intermediate Status:
% 1.75/2.13 Generated: 31594
% 1.75/2.13 Kept: 8160
% 1.75/2.13 Inuse: 551
% 1.75/2.13 Deleted: 0
% 1.75/2.13 Deletedinuse: 0
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 576640 integers for clauses
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13
% 1.75/2.13 Intermediate Status:
% 1.75/2.13 Generated: 36263
% 1.75/2.13 Kept: 10173
% 1.75/2.13 Inuse: 670
% 1.75/2.13 Deleted: 0
% 1.75/2.13 Deletedinuse: 0
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 384427 integers for termspace/termends
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13
% 1.75/2.13 Intermediate Status:
% 1.75/2.13 Generated: 44551
% 1.75/2.13 Kept: 12241
% 1.75/2.13 Inuse: 795
% 1.75/2.13 Deleted: 13
% 1.75/2.13 Deletedinuse: 12
% 1.75/2.13
% 1.75/2.13 Resimplifying inuse:
% 1.75/2.13 Done
% 1.75/2.13
% 1.75/2.13 *** allocated 864960 integers for clauses
% 1.75/2.13
% 1.75/2.13 Bliksems!, er is een bewijs:
% 1.75/2.13 % SZS status Theorem
% 1.75/2.13 % SZS output start Refutation
% 1.75/2.13
% 1.75/2.13 (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.75/2.13 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 1.75/2.13 (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv41 ) }.
% 1.75/2.13 (173) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv43 ) }.
% 1.75/2.13 (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 ) ) }.
% 1.75/2.13 (175) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv41, pred( n5 ) ) }.
% 1.75/2.13 (176) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv43, pred( n5 ) ) }.
% 1.75/2.13 (177) {G1,W18,D3,L5,V0,M5} I;d(146);d(146);d(146);r(171) { ! leq( n0, pv41
% 1.75/2.13 ), ! leq( n0, pv43 ), ! leq( pv10, pred( n135300 ) ), ! leq( pv41, pred
% 1.75/2.13 ( n5 ) ), ! leq( pv43, pred( n5 ) ) }.
% 1.75/2.13 (13535) {G2,W0,D0,L0,V0,M0} S(177);r(172);r(173);r(174);r(175);r(176) {
% 1.75/2.13 }.
% 1.75/2.13
% 1.75/2.13
% 1.75/2.13 % SZS output end Refutation
% 1.75/2.13 found a proof!
% 1.75/2.13
% 1.75/2.13
% 1.75/2.13 Unprocessed initial clauses:
% 1.75/2.13
% 1.75/2.13 (13537) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.75/2.13 (13538) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.75/2.13 (13539) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.75/2.13 (13540) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.75/2.13 (13541) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.75/2.13 }.
% 1.75/2.13 (13542) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.75/2.13 (13543) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.75/2.13 (13544) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.75/2.13 (13545) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.75/2.13 (13546) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.75/2.13 (13547) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.75/2.13 (13548) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.75/2.13 (13549) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.75/2.13 (13550) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.75/2.13 (13551) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.75/2.13 (13552) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.75/2.13 (13553) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.75/2.13 (13554) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.75/2.13 , X ) }.
% 1.75/2.13 (13555) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.75/2.13 , X ) ) }.
% 1.75/2.13 (13556) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.75/2.13 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.75/2.13 (13557) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.75/2.13 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.75/2.13 V0 ), X, T ) = V0 }.
% 1.75/2.13 (13558) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.75/2.13 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.75/2.13 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.75/2.13 (13559) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.75/2.13 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.13 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.75/2.13 = a_select3( trans( X ), T, Z ) }.
% 1.75/2.13 (13560) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.75/2.13 (13561) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.13 (13562) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.13 (13563) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.13 , X ), alpha10( X, Y, Z ) }.
% 1.75/2.13 (13564) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.75/2.13 (13565) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.75/2.13 (13566) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.75/2.13 ) }.
% 1.75/2.13 (13567) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.75/2.13 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.75/2.13 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.75/2.13 (13568) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.75/2.13 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.13 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.75/2.13 a_select3( inv( X ), T, Z ) }.
% 1.75/2.13 (13569) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.75/2.13 (13570) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.13 (13571) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.13 (13572) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.13 , X ), alpha11( X, Y, Z ) }.
% 1.75/2.13 (13573) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.75/2.13 (13574) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.75/2.13 (13575) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.75/2.13 ) }.
% 1.75/2.13 (13576) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.75/2.13 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.75/2.13 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.75/2.13 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.75/2.13 (13577) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.75/2.13 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.13 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.75/2.13 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.75/2.13 ( X, U, U, W ), T, Z ) }.
% 1.75/2.13 (13578) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.75/2.13 (13579) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.13 (13580) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.13 (13581) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.13 , X ), alpha12( X, Y, Z ) }.
% 1.75/2.13 (13582) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.75/2.13 (13583) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.75/2.13 (13584) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.75/2.13 ) }.
% 1.75/2.13 (13585) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.75/2.13 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.75/2.13 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.75/2.13 ), U, T ) }.
% 1.75/2.13 (13586) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.75/2.13 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.75/2.13 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.75/2.13 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.75/2.13 (13587) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.75/2.13 (13588) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.13 (13589) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.13 (13590) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.13 , X ), alpha22( X, Y, Z ) }.
% 1.75/2.13 (13591) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.75/2.13 (13592) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.75/2.13 (13593) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.75/2.13 ) }.
% 1.75/2.13 (13594) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.75/2.13 , skol19( X, Y ) ) }.
% 1.75/2.13 (13595) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.75/2.13 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.75/2.13 }.
% 1.75/2.13 (13596) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.75/2.13 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.75/2.13 (13597) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.75/2.13 (13598) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13599) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13600) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha23( X, Y, Z ) }.
% 1.75/2.14 (13601) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13602) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13603) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13604) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.75/2.14 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.75/2.14 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.75/2.14 ), U, T ) }.
% 1.75/2.14 (13605) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.75/2.14 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.75/2.14 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.75/2.14 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.75/2.14 (13606) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.75/2.14 (13607) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13608) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13609) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha24( X, Y, Z ) }.
% 1.75/2.14 (13610) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13611) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13612) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13613) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.75/2.14 , skol21( X, Y ) ) }.
% 1.75/2.14 (13614) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.75/2.14 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.75/2.14 }.
% 1.75/2.14 (13615) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.75/2.14 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.75/2.14 (13616) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.75/2.14 (13617) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13618) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13619) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha25( X, Y, Z ) }.
% 1.75/2.14 (13620) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13621) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13622) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13623) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.75/2.14 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.75/2.14 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.75/2.14 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.75/2.14 (13624) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.75/2.14 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.14 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.75/2.14 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.75/2.14 ( X, trans( U ) ) ), T, Z ) }.
% 1.75/2.14 (13625) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.75/2.14 (13626) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13627) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13628) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha17( X, Y, Z ) }.
% 1.75/2.14 (13629) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13630) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13631) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13632) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.75/2.14 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.75/2.14 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.75/2.14 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.75/2.14 (13633) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.75/2.14 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.75/2.14 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.75/2.14 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.75/2.14 ( X, trans( W ) ) ), T, Z ) }.
% 1.75/2.14 (13634) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.75/2.14 (13635) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13636) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13637) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha18( X, Y, Z ) }.
% 1.75/2.14 (13638) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13639) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13640) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13641) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.75/2.14 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.75/2.14 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.75/2.14 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.75/2.14 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.75/2.14 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.75/2.14 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.75/2.14 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.75/2.14 (13642) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.75/2.14 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.75/2.14 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.75/2.14 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.75/2.14 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.75/2.14 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.75/2.14 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.75/2.14 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.75/2.14 ) ), W, U ) }.
% 1.75/2.14 (13643) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.75/2.14 (13644) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13645) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13646) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha29( X, Y, Z ) }.
% 1.75/2.14 (13647) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13648) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13649) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13650) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.75/2.14 ), skol25( X, Y ) ) }.
% 1.75/2.14 (13651) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.75/2.14 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.75/2.14 }.
% 1.75/2.14 (13652) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.75/2.14 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.75/2.14 (13653) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.75/2.14 (13654) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13655) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13656) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha30( X, Y, Z ) }.
% 1.75/2.14 (13657) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13658) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13659) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13660) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.75/2.14 skol26( X, Y ) ) }.
% 1.75/2.14 (13661) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.75/2.14 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.75/2.14 (13662) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.75/2.14 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.75/2.14 (13663) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.75/2.14 (13664) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.75/2.14 (13665) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.75/2.14 (13666) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.75/2.14 , X ), alpha28( X, Y, Z ) }.
% 1.75/2.14 (13667) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13668) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.75/2.14 (13669) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13670) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.75/2.14 (13671) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.75/2.14 }.
% 1.75/2.14 (13672) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.75/2.14 (13673) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.75/2.14 (13674) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.75/2.14 (13675) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.75/2.14 (13676) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.75/2.14 (13677) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.75/2.14 }.
% 1.75/2.14 (13678) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.75/2.14 }.
% 1.75/2.14 (13679) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.75/2.14 ) ) ) }.
% 1.75/2.14 (13680) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.75/2.14 ) ) ) }.
% 1.75/2.14 (13681) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.75/2.14 succ( X ) ) ) ) ) }.
% 1.75/2.14 (13682) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.75/2.14 succ( X ) ) ) ) ) }.
% 1.75/2.14 (13683) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.75/2.14 (13684) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.75/2.14 (13685) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.75/2.14 (13686) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.75/2.14 }.
% 1.75/2.14 (13687) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.75/2.14 }.
% 1.75/2.14 (13688) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.75/2.14 (13689) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.75/2.14 (13690) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.75/2.14 ) = T }.
% 1.75/2.14 (13691) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.75/2.14 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.75/2.14 (13692) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.75/2.14 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.75/2.14 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.75/2.14 (13693) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.75/2.14 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.75/2.14 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.75/2.14 (13694) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.75/2.14 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.75/2.14 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.75/2.14 (13695) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.75/2.14 (13696) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.75/2.14 (13697) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.75/2.14 , Y, Z ) }.
% 1.75/2.14 (13698) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.75/2.14 (13699) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.75/2.14 (13700) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.75/2.14 ) }.
% 1.75/2.14 (13701) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.75/2.14 }.
% 1.75/2.14 (13702) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.75/2.14 tptp_update2( Z, X, U ), Y ) = T }.
% 1.75/2.14 (13703) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.75/2.14 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.75/2.14 (13704) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.77/2.15 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.77/2.15 (13705) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.77/2.15 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.77/2.15 }.
% 1.77/2.15 (13706) {G0,W1,D1,L1,V0,M1} { true }.
% 1.77/2.15 (13707) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.77/2.15 (13708) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.77/2.15 (13709) {G0,W3,D2,L1,V0,M1} { leq( n0, pv41 ) }.
% 1.77/2.15 (13710) {G0,W3,D2,L1,V0,M1} { leq( n0, pv43 ) }.
% 1.77/2.15 (13711) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1 ) ) }.
% 1.77/2.15 (13712) {G0,W5,D3,L1,V0,M1} { leq( pv41, minus( n5, n1 ) ) }.
% 1.77/2.15 (13713) {G0,W5,D3,L1,V0,M1} { leq( pv43, minus( n5, n1 ) ) }.
% 1.77/2.15 (13714) {G0,W24,D3,L6,V0,M6} { ! leq( n0, pv10 ), ! leq( n0, pv41 ), ! leq
% 1.77/2.15 ( n0, pv43 ), ! leq( pv10, minus( n135300, n1 ) ), ! leq( pv41, minus( n5
% 1.77/2.15 , n1 ) ), ! leq( pv43, minus( n5, n1 ) ) }.
% 1.77/2.15 (13715) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.77/2.15 (13716) {G0,W3,D2,L1,V0,M1} { gt( n135300, n4 ) }.
% 1.77/2.15 (13717) {G0,W3,D2,L1,V0,M1} { gt( n135300, n5 ) }.
% 1.77/2.15 (13718) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.77/2.15 (13719) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.77/2.15 (13720) {G0,W3,D2,L1,V0,M1} { gt( n135300, tptp_minus_1 ) }.
% 1.77/2.15 (13721) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.77/2.15 (13722) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.77/2.15 (13723) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.77/2.15 (13724) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.77/2.15 (13725) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.77/2.15 (13726) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.77/2.15 (13727) {G0,W3,D2,L1,V0,M1} { gt( n135300, n0 ) }.
% 1.77/2.15 (13728) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.77/2.15 (13729) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.77/2.15 (13730) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.77/2.15 (13731) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.77/2.15 (13732) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.77/2.15 (13733) {G0,W3,D2,L1,V0,M1} { gt( n135300, n1 ) }.
% 1.77/2.15 (13734) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.77/2.15 (13735) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.77/2.15 (13736) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.77/2.15 (13737) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.77/2.15 (13738) {G0,W3,D2,L1,V0,M1} { gt( n135300, n2 ) }.
% 1.77/2.15 (13739) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.77/2.15 (13740) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.77/2.15 (13741) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.77/2.15 (13742) {G0,W3,D2,L1,V0,M1} { gt( n135300, n3 ) }.
% 1.77/2.15 (13743) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.77/2.15 n1, X = n2, X = n3, X = n4 }.
% 1.77/2.15 (13744) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.77/2.15 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.77/2.15 (13745) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.77/2.15 (13746) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.77/2.15 n1 }.
% 1.77/2.15 (13747) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.77/2.15 n1, X = n2 }.
% 1.77/2.15 (13748) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.77/2.15 n1, X = n2, X = n3 }.
% 1.77/2.15 (13749) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.77/2.15 (13750) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.77/2.15 n5 }.
% 1.77/2.15 (13751) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.77/2.15 (13752) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.77/2.15 (13753) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.77/2.15
% 1.77/2.15
% 1.77/2.15 Total Proof:
% 1.77/2.15
% 1.77/2.15 subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.77/2.15 parent0: (13683) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.77/2.15 substitution0:
% 1.77/2.15 X := X
% 1.77/2.15 end
% 1.77/2.15 permutation0:
% 1.77/2.15 0 ==> 0
% 1.77/2.15 end
% 1.77/2.15
% 1.77/2.15 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 1.77/2.15 parent0: (13708) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.77/2.15 substitution0:
% 1.77/2.15 end
% 1.77/2.15 permutation0:
% 1.77/2.15 0 ==> 0
% 1.77/2.15 end
% 1.77/2.15
% 1.77/2.15 *** allocated 576640 integers for termspace/termends
% 1.77/2.15 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv41 ) }.
% 1.77/2.15 parent0: (13709) {G0,W3,D2,L1,V0,M1} { leq( n0, pv41 ) }.
% 1.77/2.15 substitution0:
% 1.77/2.15 end
% 1.77/2.15 permutation0:
% 1.77/2.15 0 ==> 0
% 1.77/2.15 end
% 1.77/2.15
% 1.77/2.15 subsumption: (173) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv43 ) }.
% 1.77/2.15 parent0: (13710) {G0,W3,D2,L1,V0,M1} { leq( n0, pv43 ) }.
% 1.77/2.15 substitution0:
% 1.77/2.15 end
% 1.77/2.15 permutation0:
% 1.77/2.15 0 ==> 0
% 1.77/2.15 end
% 1.77/2.15
% 1.77/2.15 paramod: (16432) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 1.77/2.17 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.77/2.17 parent1[0; 2]: (13711) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1
% 1.77/2.17 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := n135300
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300
% 1.77/2.17 ) ) }.
% 1.77/2.17 parent0: (16432) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 paramod: (17139) {G1,W4,D3,L1,V0,M1} { leq( pv41, pred( n5 ) ) }.
% 1.77/2.17 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.77/2.17 parent1[0; 2]: (13712) {G0,W5,D3,L1,V0,M1} { leq( pv41, minus( n5, n1 ) )
% 1.77/2.17 }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := n5
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (175) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv41, pred( n5 ) )
% 1.77/2.17 }.
% 1.77/2.17 parent0: (17139) {G1,W4,D3,L1,V0,M1} { leq( pv41, pred( n5 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 paramod: (17848) {G1,W4,D3,L1,V0,M1} { leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.77/2.17 parent1[0; 2]: (13713) {G0,W5,D3,L1,V0,M1} { leq( pv43, minus( n5, n1 ) )
% 1.77/2.17 }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := n5
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (176) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv43, pred( n5 ) )
% 1.77/2.17 }.
% 1.77/2.17 parent0: (17848) {G1,W4,D3,L1,V0,M1} { leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 0
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 paramod: (18917) {G1,W23,D3,L6,V0,M6} { ! leq( pv43, pred( n5 ) ), ! leq(
% 1.77/2.17 n0, pv10 ), ! leq( n0, pv41 ), ! leq( n0, pv43 ), ! leq( pv10, minus(
% 1.77/2.17 n135300, n1 ) ), ! leq( pv41, minus( n5, n1 ) ) }.
% 1.77/2.17 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.77/2.17 parent1[5; 3]: (13714) {G0,W24,D3,L6,V0,M6} { ! leq( n0, pv10 ), ! leq( n0
% 1.77/2.17 , pv41 ), ! leq( n0, pv43 ), ! leq( pv10, minus( n135300, n1 ) ), ! leq(
% 1.77/2.17 pv41, minus( n5, n1 ) ), ! leq( pv43, minus( n5, n1 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := n5
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 paramod: (18923) {G1,W22,D3,L6,V0,M6} { ! leq( pv41, pred( n5 ) ), ! leq(
% 1.77/2.17 pv43, pred( n5 ) ), ! leq( n0, pv10 ), ! leq( n0, pv41 ), ! leq( n0, pv43
% 1.77/2.17 ), ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.77/2.17 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.77/2.17 parent1[5; 3]: (18917) {G1,W23,D3,L6,V0,M6} { ! leq( pv43, pred( n5 ) ), !
% 1.77/2.17 leq( n0, pv10 ), ! leq( n0, pv41 ), ! leq( n0, pv43 ), ! leq( pv10,
% 1.77/2.17 minus( n135300, n1 ) ), ! leq( pv41, minus( n5, n1 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := n5
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 paramod: (18925) {G1,W21,D3,L6,V0,M6} { ! leq( pv10, pred( n135300 ) ), !
% 1.77/2.17 leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ), ! leq( n0, pv10 ), !
% 1.77/2.17 leq( n0, pv41 ), ! leq( n0, pv43 ) }.
% 1.77/2.17 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.77/2.17 parent1[5; 3]: (18923) {G1,W22,D3,L6,V0,M6} { ! leq( pv41, pred( n5 ) ), !
% 1.77/2.17 leq( pv43, pred( n5 ) ), ! leq( n0, pv10 ), ! leq( n0, pv41 ), ! leq( n0
% 1.77/2.17 , pv43 ), ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 X := n135300
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (18926) {G1,W18,D3,L5,V0,M5} { ! leq( pv10, pred( n135300 ) )
% 1.77/2.17 , ! leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ), ! leq( n0, pv41 )
% 1.77/2.17 , ! leq( n0, pv43 ) }.
% 1.77/2.17 parent0[3]: (18925) {G1,W21,D3,L6,V0,M6} { ! leq( pv10, pred( n135300 ) )
% 1.77/2.17 , ! leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ), ! leq( n0, pv10 )
% 1.77/2.17 , ! leq( n0, pv41 ), ! leq( n0, pv43 ) }.
% 1.77/2.17 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (177) {G1,W18,D3,L5,V0,M5} I;d(146);d(146);d(146);r(171) { !
% 1.77/2.17 leq( n0, pv41 ), ! leq( n0, pv43 ), ! leq( pv10, pred( n135300 ) ), ! leq
% 1.77/2.17 ( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent0: (18926) {G1,W18,D3,L5,V0,M5} { ! leq( pv10, pred( n135300 ) ), !
% 1.77/2.17 leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ), ! leq( n0, pv41 ), !
% 1.77/2.17 leq( n0, pv43 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 0 ==> 2
% 1.77/2.17 1 ==> 3
% 1.77/2.17 2 ==> 4
% 1.77/2.17 3 ==> 0
% 1.77/2.17 4 ==> 1
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (18927) {G1,W15,D3,L4,V0,M4} { ! leq( n0, pv43 ), ! leq( pv10
% 1.77/2.17 , pred( n135300 ) ), ! leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) )
% 1.77/2.17 }.
% 1.77/2.17 parent0[0]: (177) {G1,W18,D3,L5,V0,M5} I;d(146);d(146);d(146);r(171) { !
% 1.77/2.17 leq( n0, pv41 ), ! leq( n0, pv43 ), ! leq( pv10, pred( n135300 ) ), ! leq
% 1.77/2.17 ( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv41 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (18928) {G1,W12,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) )
% 1.77/2.17 , ! leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent0[0]: (18927) {G1,W15,D3,L4,V0,M4} { ! leq( n0, pv43 ), ! leq( pv10
% 1.77/2.17 , pred( n135300 ) ), ! leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) )
% 1.77/2.17 }.
% 1.77/2.17 parent1[0]: (173) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv43 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (18929) {G2,W8,D3,L2,V0,M2} { ! leq( pv41, pred( n5 ) ), ! leq
% 1.77/2.17 ( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent0[0]: (18928) {G1,W12,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) )
% 1.77/2.17 , ! leq( pv41, pred( n5 ) ), ! leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent1[0]: (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 )
% 1.77/2.17 ) }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (18930) {G2,W4,D3,L1,V0,M1} { ! leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent0[0]: (18929) {G2,W8,D3,L2,V0,M2} { ! leq( pv41, pred( n5 ) ), ! leq
% 1.77/2.17 ( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent1[0]: (175) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv41, pred( n5 ) )
% 1.77/2.17 }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 resolution: (18931) {G2,W0,D0,L0,V0,M0} { }.
% 1.77/2.17 parent0[0]: (18930) {G2,W4,D3,L1,V0,M1} { ! leq( pv43, pred( n5 ) ) }.
% 1.77/2.17 parent1[0]: (176) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv43, pred( n5 ) )
% 1.77/2.17 }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 substitution1:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 subsumption: (13535) {G2,W0,D0,L0,V0,M0} S(177);r(172);r(173);r(174);r(175)
% 1.77/2.17 ;r(176) { }.
% 1.77/2.17 parent0: (18931) {G2,W0,D0,L0,V0,M0} { }.
% 1.77/2.17 substitution0:
% 1.77/2.17 end
% 1.77/2.17 permutation0:
% 1.77/2.17 end
% 1.77/2.17
% 1.77/2.17 Proof check complete!
% 1.77/2.17
% 1.77/2.17 Memory use:
% 1.77/2.17
% 1.77/2.17 space for terms: 332482
% 1.77/2.17 space for clauses: 604561
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 clauses generated: 47716
% 1.77/2.17 clauses kept: 13536
% 1.77/2.17 clauses selected: 848
% 1.77/2.17 clauses deleted: 15
% 1.77/2.17 clauses inuse deleted: 12
% 1.77/2.17
% 1.77/2.17 subsentry: 187272
% 1.77/2.17 literals s-matched: 74237
% 1.77/2.17 literals matched: 59872
% 1.77/2.17 full subsumption: 40388
% 1.77/2.17
% 1.77/2.17 checksum: -289313136
% 1.77/2.17
% 1.77/2.17
% 1.77/2.17 Bliksem ended
%------------------------------------------------------------------------------