%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV067+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:22 EDT 2022
% Result : Theorem 1.71s 2.11s
% Output : Refutation 1.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV067+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 21:28:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/1.11 *** allocated 10000 integers for termspace/termends
% 0.70/1.11 *** allocated 10000 integers for clauses
% 0.70/1.11 *** allocated 10000 integers for justifications
% 0.70/1.11 Bliksem 1.12
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Automatic Strategy Selection
% 0.70/1.11
% 0.70/1.11 *** allocated 15000 integers for termspace/termends
% 0.70/1.11
% 0.70/1.11 Clauses:
% 0.70/1.11
% 0.70/1.11 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.70/1.11 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.70/1.11 { ! gt( X, X ) }.
% 0.70/1.11 { leq( X, X ) }.
% 0.70/1.11 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.70/1.11 { ! lt( X, Y ), gt( Y, X ) }.
% 0.70/1.11 { ! gt( Y, X ), lt( X, Y ) }.
% 0.70/1.11 { ! geq( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( Y, X ), geq( X, Y ) }.
% 0.70/1.11 { ! gt( Y, X ), leq( X, Y ) }.
% 0.70/1.11 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.70/1.11 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.70/1.11 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.70/1.11 { gt( succ( X ), X ) }.
% 0.70/1.11 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.70/1.11 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.70/1.11 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.70/1.11 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.70/1.11 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.70/1.11 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.70/1.11 T ), X ) = T }.
% 0.70/1.11 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.70/1.11 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.70/1.11 { alpha11( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.70/1.11 a_select3( trans( X ), T, Z ) }.
% 0.70/1.11 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.70/1.11 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.11 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.70/1.11 ) }.
% 0.70/1.11 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.70/1.11 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.70/1.11 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.70/1.11 { alpha12( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.70/1.11 a_select3( inv( X ), T, Z ) }.
% 0.70/1.11 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.70/1.11 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.11 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.70/1.11 .
% 0.70/1.11 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.70/1.11 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.70/1.11 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.70/1.11 { alpha13( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.11 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.70/1.11 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.70/1.11 X, U, U, W ), T, Z ) }.
% 0.70/1.11 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.70/1.11 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.11 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.70/1.11 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.70/1.11 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.70/1.11 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.70/1.11 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.70/1.11 { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.70/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.70/1.11 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.70/1.11 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.70/1.11 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.70/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.70/1.11 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.70/1.11 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.70/1.11 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.70/1.11 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.70/1.11 { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.70/1.11 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.70/1.11 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.70/1.11 { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.70/1.11 ( X, Y ) }.
% 0.70/1.11 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.70/1.11 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.70/1.11 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.70/1.11 { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.70/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.70/1.11 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.70/1.11 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.70/1.11 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.70/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.70/1.11 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.70/1.11 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.70/1.11 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.70/1.11 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.70/1.11 { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.70/1.11 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.70/1.11 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.70/1.11 { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.70/1.11 ( X, Y ) }.
% 0.70/1.11 { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 0.70/1.11 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.70/1.11 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.70/1.11 { alpha18( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.70/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.70/1.11 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.70/1.11 U ) ) ), T, Z ) }.
% 0.70/1.11 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.70/1.11 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.70/1.11 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.70/1.11 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.70/1.11 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.70/1.11 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.70/1.11 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.70/1.11 { alpha19( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.70/1.11 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.70/1.11 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.70/1.11 W ) ) ), T, Z ) }.
% 0.70/1.11 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.70/1.11 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.70/1.11 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.70/1.11 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.70/1.11 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.70/1.11 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.11 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.11 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.70/1.11 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.70/1.11 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.70/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.70/1.11 { alpha8( Y ), alpha20( X, T ), alpha30( T, skol10( Z, T ), skol24( Z, T )
% 0.70/1.11 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.70/1.11 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.70/1.12 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.70/1.12 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.70/1.12 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.70/1.12 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.70/1.12 ) }.
% 0.70/1.12 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.70/1.12 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.70/1.12 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.70/1.12 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.70/1.12 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.70/1.12 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.70/1.12 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.70/1.12 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.70/1.12 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.70/1.12 { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.70/1.12 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.70/1.12 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.70/1.12 { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.70/1.12 alpha20( X, Y ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha31( X, Y, Z ) }.
% 0.70/1.12 { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y ) }.
% 0.70/1.12 { ! alpha8( X ), alpha29( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.70/1.12 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.70/1.12 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.70/1.12 { ! alpha29( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.70/1.12 ), alpha8( X ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.70/1.12 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.70/1.12 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.70/1.12 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.70/1.12 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.70/1.12 { succ( tptp_minus_1 ) = n0 }.
% 0.70/1.12 { plus( X, n1 ) = succ( X ) }.
% 0.70/1.12 { plus( n1, X ) = succ( X ) }.
% 0.70/1.12 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.70/1.12 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.70/1.12 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.70/1.12 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.70/1.12 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.70/1.12 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.70/1.12 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.70/1.12 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.70/1.12 { minus( X, n1 ) = pred( X ) }.
% 0.70/1.12 { pred( succ( X ) ) = X }.
% 0.70/1.12 { succ( pred( X ) ) = X }.
% 0.70/1.12 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.70/1.12 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.70/1.12 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.70/1.12 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.70/1.12 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.70/1.12 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.70/1.12 , Y, V0 ), Z, T ) = W }.
% 0.70/1.12 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.70/1.12 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.70/1.12 }.
% 0.70/1.12 { alpha22( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.70/1.12 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.70/1.12 U, Z, T, W ), X, Y ) = W }.
% 0.70/1.12 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.70/1.12 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.70/1.12 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.70/1.12 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.70/1.12 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.70/1.12 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.70/1.12 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.70/1.12 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.70/1.12 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.70/1.12 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.70/1.12 T }.
% 0.70/1.12 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.70/1.12 tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.12 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.70/1.12 tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.12 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.70/1.12 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.70/1.12 { true }.
% 0.70/1.12 { ! def = use }.
% 0.70/1.12 { leq( n0, pv10 ) }.
% 0.70/1.12 { leq( n1, pv63 ) }.
% 0.70/1.12 { leq( pv10, minus( n135300, n1 ) ) }.
% 0.70/1.12 { leq( pv63, minus( n5, n1 ) ) }.
% 0.70/1.12 { ! leq( n0, pv10 ), ! leq( n0, pv63 ), ! leq( pv10, minus( n135300, n1 ) )
% 0.70/1.12 , ! leq( pv63, minus( n5, n1 ) ), alpha10, gt( a_select3( q, pv10, pv63 )
% 0.70/1.12 , pv78 ) }.
% 0.70/1.12 { ! leq( n0, pv10 ), ! leq( n0, pv63 ), ! leq( pv10, minus( n135300, n1 ) )
% 0.70/1.12 , ! leq( pv63, minus( n5, n1 ) ), alpha10, ! leq( n0, pv10 ), ! leq( pv10
% 0.70/1.12 , minus( n135300, n1 ) ) }.
% 0.70/1.12 { ! alpha10, ! gt( a_select3( q, pv10, pv63 ), pv78 ) }.
% 0.70/1.12 { ! alpha10, ! leq( n0, pv10 ), ! leq( pv10, minus( n135300, n1 ) ) }.
% 0.70/1.12 { gt( a_select3( q, pv10, pv63 ), pv78 ), leq( n0, pv10 ), alpha10 }.
% 0.70/1.12 { gt( a_select3( q, pv10, pv63 ), pv78 ), leq( pv10, minus( n135300, n1 ) )
% 0.70/1.12 , alpha10 }.
% 0.70/1.12 { gt( n5, n4 ) }.
% 0.70/1.12 { gt( n135300, n4 ) }.
% 0.70/1.12 { gt( n135300, n5 ) }.
% 0.70/1.12 { gt( n4, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n5, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n135300, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n0, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n1, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n2, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n3, tptp_minus_1 ) }.
% 0.70/1.12 { gt( n4, n0 ) }.
% 0.70/1.12 { gt( n5, n0 ) }.
% 0.70/1.12 { gt( n135300, n0 ) }.
% 0.70/1.12 { gt( n1, n0 ) }.
% 0.70/1.12 { gt( n2, n0 ) }.
% 0.70/1.12 { gt( n3, n0 ) }.
% 0.70/1.12 { gt( n4, n1 ) }.
% 0.70/1.12 { gt( n5, n1 ) }.
% 0.70/1.12 { gt( n135300, n1 ) }.
% 0.70/1.12 { gt( n2, n1 ) }.
% 0.70/1.12 { gt( n3, n1 ) }.
% 0.70/1.12 { gt( n4, n2 ) }.
% 0.70/1.12 { gt( n5, n2 ) }.
% 0.70/1.12 { gt( n135300, n2 ) }.
% 0.70/1.12 { gt( n3, n2 ) }.
% 0.70/1.12 { gt( n4, n3 ) }.
% 0.70/1.12 { gt( n5, n3 ) }.
% 0.70/1.12 { gt( n135300, n3 ) }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.70/1.12 .
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.70/1.12 = n5 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.70/1.12 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.70/1.12 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.70/1.12 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.70/1.12 { succ( n0 ) = n1 }.
% 0.70/1.12 { succ( succ( n0 ) ) = n2 }.
% 0.70/1.12 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.70/1.12
% 0.70/1.12 percentage equality = 0.173285, percentage horn = 0.866972
% 0.70/1.12 This is a problem with some equality
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Options Used:
% 0.70/1.12
% 0.70/1.12 useres = 1
% 0.70/1.12 useparamod = 1
% 0.70/1.12 useeqrefl = 1
% 0.70/1.12 useeqfact = 1
% 0.70/1.12 usefactor = 1
% 0.70/1.12 usesimpsplitting = 0
% 0.70/1.12 usesimpdemod = 5
% 0.70/1.12 usesimpres = 3
% 0.70/1.12
% 0.70/1.12 resimpinuse = 1000
% 0.70/1.12 resimpclauses = 20000
% 0.70/1.12 substype = eqrewr
% 0.70/1.12 backwardsubs = 1
% 0.70/1.12 selectoldest = 5
% 0.70/1.12
% 0.70/1.12 litorderings [0] = split
% 0.70/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.12
% 0.70/1.12 termordering = kbo
% 0.70/1.12
% 0.70/1.12 litapriori = 0
% 0.70/1.12 termapriori = 1
% 0.70/1.12 litaposteriori = 0
% 0.70/1.12 termaposteriori = 0
% 0.70/1.12 demodaposteriori = 0
% 0.70/1.12 ordereqreflfact = 0
% 0.70/1.12
% 0.70/1.12 litselect = negord
% 0.70/1.12
% 0.70/1.12 maxweight = 15
% 0.70/1.12 maxdepth = 30000
% 0.70/1.12 maxlength = 115
% 0.70/1.12 maxnrvars = 195
% 0.70/1.12 excuselevel = 1
% 0.70/1.12 increasemaxweight = 1
% 0.70/1.12
% 0.70/1.12 maxselected = 10000000
% 0.70/1.12 maxnrclauses = 10000000
% 0.70/1.12
% 0.70/1.12 showgenerated = 0
% 0.70/1.12 showkept = 0
% 0.70/1.12 showselected = 0
% 0.70/1.12 showdeleted = 0
% 0.70/1.12 showresimp = 1
% 0.70/1.12 showstatus = 2000
% 0.70/1.12
% 0.70/1.12 prologoutput = 0
% 0.70/1.12 nrgoals = 5000000
% 0.70/1.12 totalproof = 1
% 0.70/1.12
% 0.70/1.12 Symbols occurring in the translation:
% 0.70/1.12
% 0.70/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.12 . [1, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.70/1.12 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.70/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 gt [37, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.70/1.12 leq [39, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.70/1.12 lt [40, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.71/2.11 geq [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.71/2.11 pred [42, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.71/2.11 succ [43, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.71/2.11 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.71/2.11 uniform_int_rnd [46, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.71/2.11 dim [51, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.71/2.11 tptp_const_array1 [52, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.71/2.11 a_select2 [53, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.71/2.11 tptp_const_array2 [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 1.71/2.11 a_select3 [60, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.71/2.11 trans [63, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.71/2.11 inv [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.71/2.11 tptp_update3 [67, 4] (w:1, o:158, a:1, s:1, b:0),
% 1.71/2.11 tptp_madd [69, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.71/2.11 tptp_msub [70, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.71/2.11 tptp_mmul [71, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.71/2.11 tptp_minus_1 [77, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.71/2.11 sum [78, 3] (w:1, o:138, a:1, s:1, b:0),
% 1.71/2.11 tptp_float_0_0 [79, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.71/2.11 n1 [80, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.71/2.11 plus [81, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.71/2.11 n2 [82, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.71/2.11 n3 [83, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.71/2.11 n4 [84, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.71/2.11 n5 [85, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.71/2.11 minus [86, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.71/2.11 tptp_update2 [91, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.71/2.11 true [92, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.71/2.11 def [93, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.71/2.11 use [94, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.71/2.11 pv10 [95, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.71/2.11 pv63 [96, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.71/2.11 n135300 [97, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.71/2.11 q [98, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.71/2.11 pv78 [99, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.71/2.11 alpha1 [100, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.71/2.11 alpha2 [101, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.71/2.11 alpha3 [102, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.71/2.11 alpha4 [103, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.71/2.11 alpha5 [104, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.71/2.11 alpha6 [105, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.71/2.11 alpha7 [106, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.71/2.11 alpha8 [107, 1] (w:1, o:60, a:1, s:1, b:1),
% 1.71/2.11 alpha9 [108, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.71/2.11 alpha10 [109, 0] (w:1, o:49, a:1, s:1, b:1),
% 1.71/2.11 alpha11 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.71/2.11 alpha12 [111, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.71/2.11 alpha13 [112, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.71/2.11 alpha14 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.71/2.11 alpha15 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.71/2.11 alpha16 [115, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.71/2.11 alpha17 [116, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.71/2.11 alpha18 [117, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.71/2.11 alpha19 [118, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.71/2.11 alpha20 [119, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.71/2.11 alpha21 [120, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.71/2.11 alpha22 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.71/2.11 alpha23 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.71/2.11 alpha24 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.71/2.11 alpha25 [124, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.71/2.11 alpha26 [125, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.71/2.11 alpha27 [126, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.71/2.11 alpha28 [127, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.71/2.11 alpha29 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.71/2.11 alpha30 [129, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.71/2.11 alpha31 [130, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.71/2.11 skol1 [131, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.71/2.11 skol2 [132, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.71/2.11 skol3 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.71/2.11 skol4 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.71/2.11 skol5 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.71/2.11 skol6 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.71/2.11 skol7 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.71/2.11 skol8 [138, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.71/2.11 skol9 [139, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.71/2.11 skol10 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.71/2.11 skol11 [141, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.71/2.11 skol12 [142, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.71/2.11 skol13 [143, 4] (w:1, o:156, a:1, s:1, b:1),
% 1.71/2.11 skol14 [144, 3] (w:1, o:139, a:1, s:1, b:1),
% 1.71/2.11 skol15 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.71/2.11 skol16 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.71/2.11 skol17 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.71/2.11 skol18 [148, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.71/2.11 skol19 [149, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.71/2.11 skol20 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.71/2.11 skol21 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.71/2.11 skol22 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.71/2.11 skol23 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.71/2.11 skol24 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.71/2.11 skol25 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.71/2.11 skol26 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.71/2.11 skol27 [157, 4] (w:1, o:157, a:1, s:1, b:1),
% 1.71/2.11 skol28 [158, 1] (w:1, o:57, a:1, s:1, b:1).
% 1.71/2.11
% 1.71/2.11
% 1.71/2.11 Starting Search:
% 1.71/2.11
% 1.71/2.11 *** allocated 15000 integers for clauses
% 1.71/2.11 *** allocated 22500 integers for clauses
% 1.71/2.11 *** allocated 33750 integers for clauses
% 1.71/2.11 *** allocated 22500 integers for termspace/termends
% 1.71/2.11 *** allocated 50625 integers for clauses
% 1.71/2.11 *** allocated 75937 integers for clauses
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 33750 integers for termspace/termends
% 1.71/2.11 *** allocated 113905 integers for clauses
% 1.71/2.11 *** allocated 50625 integers for termspace/termends
% 1.71/2.11
% 1.71/2.11 Intermediate Status:
% 1.71/2.11 Generated: 7958
% 1.71/2.11 Kept: 2036
% 1.71/2.11 Inuse: 171
% 1.71/2.11 Deleted: 0
% 1.71/2.11 Deletedinuse: 0
% 1.71/2.11
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 170857 integers for clauses
% 1.71/2.11 *** allocated 75937 integers for termspace/termends
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 113905 integers for termspace/termends
% 1.71/2.11 *** allocated 256285 integers for clauses
% 1.71/2.11
% 1.71/2.11 Intermediate Status:
% 1.71/2.11 Generated: 16441
% 1.71/2.11 Kept: 4036
% 1.71/2.11 Inuse: 334
% 1.71/2.11 Deleted: 0
% 1.71/2.11 Deletedinuse: 0
% 1.71/2.11
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 170857 integers for termspace/termends
% 1.71/2.11 *** allocated 384427 integers for clauses
% 1.71/2.11
% 1.71/2.11 Intermediate Status:
% 1.71/2.11 Generated: 23409
% 1.71/2.11 Kept: 6092
% 1.71/2.11 Inuse: 461
% 1.71/2.11 Deleted: 0
% 1.71/2.11 Deletedinuse: 0
% 1.71/2.11
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 256285 integers for termspace/termends
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11
% 1.71/2.11 Intermediate Status:
% 1.71/2.11 Generated: 31407
% 1.71/2.11 Kept: 8159
% 1.71/2.11 Inuse: 556
% 1.71/2.11 Deleted: 0
% 1.71/2.11 Deletedinuse: 0
% 1.71/2.11
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 576640 integers for clauses
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11
% 1.71/2.11 Intermediate Status:
% 1.71/2.11 Generated: 36723
% 1.71/2.11 Kept: 10264
% 1.71/2.11 Inuse: 736
% 1.71/2.11 Deleted: 0
% 1.71/2.11 Deletedinuse: 0
% 1.71/2.11
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 384427 integers for termspace/termends
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11
% 1.71/2.11 Intermediate Status:
% 1.71/2.11 Generated: 44618
% 1.71/2.11 Kept: 12331
% 1.71/2.11 Inuse: 805
% 1.71/2.11 Deleted: 13
% 1.71/2.11 Deletedinuse: 12
% 1.71/2.11
% 1.71/2.11 Resimplifying inuse:
% 1.71/2.11 Done
% 1.71/2.11
% 1.71/2.11 *** allocated 864960 integers for clauses
% 1.71/2.11
% 1.71/2.11 Bliksems!, er is een bewijs:
% 1.71/2.11 % SZS status Theorem
% 1.71/2.11 % SZS output start Refutation
% 1.71/2.11
% 1.71/2.11 (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.71/2.11 (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.71/2.11 (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.71/2.11 }.
% 1.71/2.11 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 1.71/2.11 (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, pv63 ) }.
% 1.71/2.11 (173) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 ) ) }.
% 1.71/2.11 (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv63, pred( n5 ) ) }.
% 1.71/2.11 (176) {G1,W12,D3,L4,V0,M4} I;f;f;d(146);d(146);r(171) { ! leq( n0, pv63 ),
% 1.71/2.11 alpha10, ! leq( pv10, pred( n135300 ) ), ! leq( pv63, pred( n5 ) ) }.
% 1.71/2.11 (178) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha10, ! leq( pv10, pred(
% 1.71/2.11 n135300 ) ) }.
% 1.71/2.11 (215) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.71/2.11 (2052) {G1,W4,D3,L1,V0,M1} R(172,14) { leq( n1, succ( pv63 ) ) }.
% 1.71/2.11 (13228) {G2,W3,D2,L1,V0,M1} S(176);r(178);r(173);r(174) { ! leq( n0, pv63 )
% 1.71/2.11 }.
% 1.71/2.11 (13233) {G3,W0,D0,L0,V0,M0} R(13228,149);d(215);r(2052) { }.
% 1.71/2.11
% 1.71/2.11
% 1.71/2.11 % SZS output end Refutation
% 1.71/2.11 found a proof!
% 1.71/2.11
% 1.71/2.11
% 1.71/2.11 Unprocessed initial clauses:
% 1.71/2.11
% 1.71/2.11 (13235) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.71/2.11 (13236) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.71/2.11 (13237) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.71/2.11 (13238) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.71/2.11 (13239) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.71/2.11 }.
% 1.71/2.11 (13240) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.71/2.11 (13241) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.71/2.11 (13242) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13243) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.71/2.11 (13244) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.71/2.11 (13245) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.71/2.11 (13246) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.71/2.11 (13247) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.71/2.11 (13248) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.71/2.11 (13249) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.71/2.11 (13250) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.71/2.11 (13251) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.71/2.11 (13252) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.71/2.11 , X ) }.
% 1.71/2.11 (13253) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.71/2.11 , X ) ) }.
% 1.71/2.11 (13254) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.71/2.11 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.71/2.11 (13255) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.71/2.11 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.71/2.11 V0 ), X, T ) = V0 }.
% 1.71/2.11 (13256) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.71/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.71/2.11 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.71/2.11 (13257) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.71/2.11 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.71/2.11 = a_select3( trans( X ), T, Z ) }.
% 1.71/2.11 (13258) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 1.71/2.11 (13259) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13260) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13261) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha11( X, Y, Z ) }.
% 1.71/2.11 (13262) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13263) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13264) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13265) {G0,W31,D4,L6,V4,M6} { alpha12( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.71/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.71/2.11 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.71/2.11 (13266) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.71/2.11 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.71/2.11 a_select3( inv( X ), T, Z ) }.
% 1.71/2.11 (13267) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 1.71/2.11 (13268) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13269) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13270) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha12( X, Y, Z ) }.
% 1.71/2.11 (13271) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13272) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13273) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13274) {G0,W43,D4,L8,V6,M8} { alpha13( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.71/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.71/2.11 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.71/2.11 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.71/2.11 (13275) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.71/2.11 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.71/2.11 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.71/2.11 ( X, U, U, W ), T, Z ) }.
% 1.71/2.11 (13276) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 1.71/2.11 (13277) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13278) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13279) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha13( X, Y, Z ) }.
% 1.71/2.11 (13280) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13281) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13282) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13283) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ),
% 1.71/2.11 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.71/2.11 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.71/2.11 ), U, T ) }.
% 1.71/2.11 (13284) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.71/2.11 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.71/2.11 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.71/2.11 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.71/2.11 (13285) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.71/2.11 (13286) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13287) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13288) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha23( X, Y, Z ) }.
% 1.71/2.11 (13289) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13290) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13291) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13292) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y )
% 1.71/2.11 , skol19( X, Y ) ) }.
% 1.71/2.11 (13293) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.71/2.11 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.71/2.11 }.
% 1.71/2.11 (13294) {G0,W16,D3,L3,V4,M3} { ! alpha24( Y, Z, T ), a_select3( X, Z, T )
% 1.71/2.11 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.71/2.11 (13295) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.71/2.11 (13296) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13297) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13298) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha24( X, Y, Z ) }.
% 1.71/2.11 (13299) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13300) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13301) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13302) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ),
% 1.71/2.11 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.71/2.11 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.71/2.11 ), U, T ) }.
% 1.71/2.11 (13303) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.71/2.11 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.71/2.11 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.71/2.11 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.71/2.11 (13304) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.71/2.11 (13305) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13306) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13307) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha25( X, Y, Z ) }.
% 1.71/2.11 (13308) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13309) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13310) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13311) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y )
% 1.71/2.11 , skol21( X, Y ) ) }.
% 1.71/2.11 (13312) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.71/2.11 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.71/2.11 }.
% 1.71/2.11 (13313) {G0,W16,D3,L3,V4,M3} { ! alpha26( Y, Z, T ), a_select3( X, Z, T )
% 1.71/2.11 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.71/2.11 (13314) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 1.71/2.11 (13315) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13316) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13317) {G0,W13,D2,L4,V3,M4} { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha26( X, Y, Z ) }.
% 1.71/2.11 (13318) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13319) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13320) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13321) {G0,W39,D6,L6,V5,M6} { alpha18( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.71/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.71/2.11 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.71/2.11 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.71/2.11 (13322) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.71/2.11 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.71/2.11 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.71/2.11 ( X, trans( U ) ) ), T, Z ) }.
% 1.71/2.11 (13323) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 1.71/2.11 (13324) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13325) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13326) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha18( X, Y, Z ) }.
% 1.71/2.11 (13327) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13328) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13329) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13330) {G0,W39,D6,L6,V6,M6} { alpha19( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.71/2.11 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.71/2.11 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.71/2.11 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.71/2.11 (13331) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.71/2.11 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.71/2.11 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.71/2.11 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.71/2.11 ( X, trans( W ) ) ), T, Z ) }.
% 1.71/2.11 (13332) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 1.71/2.11 (13333) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13334) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13335) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha19( X, Y, Z ) }.
% 1.71/2.11 (13336) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13337) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13338) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13339) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), alpha30( T,
% 1.71/2.11 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.71/2.11 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.71/2.11 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.71/2.11 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.71/2.11 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.71/2.11 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.71/2.11 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.71/2.11 (13340) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), ! a_select3
% 1.71/2.11 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.71/2.11 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.71/2.11 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.71/2.11 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.71/2.11 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.71/2.11 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.71/2.11 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.71/2.11 ) ), W, U ) }.
% 1.71/2.11 (13341) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.71/2.11 (13342) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13343) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13344) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha30( X, Y, Z ) }.
% 1.71/2.11 (13345) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13346) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13347) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13348) {G0,W11,D3,L2,V2,M2} { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y
% 1.71/2.11 ), skol25( X, Y ) ) }.
% 1.71/2.11 (13349) {G0,W20,D4,L2,V2,M2} { ! alpha20( X, Y ), ! a_select3( X, skol11(
% 1.71/2.11 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.71/2.11 }.
% 1.71/2.11 (13350) {G0,W16,D3,L3,V4,M3} { ! alpha31( Y, Z, T ), a_select3( X, Z, T )
% 1.71/2.11 = a_select3( X, T, Z ), alpha20( X, Y ) }.
% 1.71/2.11 (13351) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 1.71/2.11 (13352) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13353) {G0,W7,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13354) {G0,W13,D2,L4,V3,M4} { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha31( X, Y, Z ) }.
% 1.71/2.11 (13355) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13356) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13357) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13358) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha29( Y, skol12( X, Y ),
% 1.71/2.11 skol26( X, Y ) ) }.
% 1.71/2.11 (13359) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.71/2.11 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.71/2.11 (13360) {G0,W16,D3,L3,V3,M3} { ! alpha29( skol28( X ), Y, Z ), a_select3(
% 1.71/2.11 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.71/2.11 (13361) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 1.71/2.11 (13362) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.71/2.11 (13363) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.71/2.11 (13364) {G0,W13,D2,L4,V3,M4} { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.71/2.11 , X ), alpha29( X, Y, Z ) }.
% 1.71/2.11 (13365) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13366) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( Y, X ) }.
% 1.71/2.11 (13367) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13368) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.71/2.11 (13369) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.71/2.11 }.
% 1.71/2.11 (13370) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.71/2.11 (13371) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.71/2.11 (13372) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.71/2.11 (13373) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.71/2.11 (13374) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.71/2.11 (13375) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.71/2.11 }.
% 1.71/2.11 (13376) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.71/2.11 }.
% 1.71/2.11 (13377) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.71/2.11 ) ) ) }.
% 1.71/2.11 (13378) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.71/2.11 ) ) ) }.
% 1.71/2.11 (13379) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.71/2.11 succ( X ) ) ) ) ) }.
% 1.71/2.11 (13380) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.71/2.11 succ( X ) ) ) ) ) }.
% 1.71/2.11 (13381) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.71/2.11 (13382) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.71/2.11 (13383) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.71/2.11 (13384) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.71/2.11 }.
% 1.71/2.11 (13385) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.71/2.11 }.
% 1.71/2.11 (13386) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.71/2.11 (13387) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.71/2.11 (13388) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.71/2.11 ) = T }.
% 1.71/2.11 (13389) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.71/2.11 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.71/2.11 (13390) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.71/2.11 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.71/2.11 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.71/2.11 (13391) {G0,W34,D4,L6,V6,M6} { alpha22( Z, skol13( Z, T, U, W ), skol27( Z
% 1.71/2.11 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.71/2.11 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.71/2.11 (13392) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.71/2.11 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.71/2.11 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.71/2.11 (13393) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 1.71/2.11 (13394) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 1.71/2.11 (13395) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X
% 1.71/2.11 , Y, Z ) }.
% 1.71/2.11 (13396) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.71/2.11 (13397) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.71/2.11 (13398) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.71/2.11 ) }.
% 1.71/2.11 (13399) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.71/2.11 }.
% 1.71/2.11 (13400) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.71/2.11 tptp_update2( Z, X, U ), Y ) = T }.
% 1.71/2.11 (13401) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.71/2.11 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.71/2.11 (13402) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.71/2.11 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.71/2.11 (13403) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.71/2.11 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.71/2.11 }.
% 1.71/2.11 (13404) {G0,W1,D1,L1,V0,M1} { true }.
% 1.71/2.11 (13405) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.71/2.11 (13406) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.71/2.11 (13407) {G0,W3,D2,L1,V0,M1} { leq( n1, pv63 ) }.
% 1.71/2.11 (13408) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1 ) ) }.
% 1.71/2.11 (13409) {G0,W5,D3,L1,V0,M1} { leq( pv63, minus( n5, n1 ) ) }.
% 1.71/2.11 (13410) {G0,W23,D3,L6,V0,M6} { ! leq( n0, pv10 ), ! leq( n0, pv63 ), ! leq
% 1.71/2.11 ( pv10, minus( n135300, n1 ) ), ! leq( pv63, minus( n5, n1 ) ), alpha10,
% 1.71/2.11 gt( a_select3( q, pv10, pv63 ), pv78 ) }.
% 1.71/2.11 (13411) {G0,W25,D3,L7,V0,M7} { ! leq( n0, pv10 ), ! leq( n0, pv63 ), ! leq
% 1.71/2.11 ( pv10, minus( n135300, n1 ) ), ! leq( pv63, minus( n5, n1 ) ), alpha10,
% 1.71/2.11 ! leq( n0, pv10 ), ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.71/2.11 (13412) {G0,W7,D3,L2,V0,M2} { ! alpha10, ! gt( a_select3( q, pv10, pv63 )
% 1.71/2.11 , pv78 ) }.
% 1.71/2.11 (13413) {G0,W9,D3,L3,V0,M3} { ! alpha10, ! leq( n0, pv10 ), ! leq( pv10,
% 1.71/2.11 minus( n135300, n1 ) ) }.
% 1.71/2.11 (13414) {G0,W10,D3,L3,V0,M3} { gt( a_select3( q, pv10, pv63 ), pv78 ), leq
% 1.71/2.11 ( n0, pv10 ), alpha10 }.
% 1.71/2.11 (13415) {G0,W12,D3,L3,V0,M3} { gt( a_select3( q, pv10, pv63 ), pv78 ), leq
% 1.71/2.11 ( pv10, minus( n135300, n1 ) ), alpha10 }.
% 1.71/2.11 (13416) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.71/2.11 (13417) {G0,W3,D2,L1,V0,M1} { gt( n135300, n4 ) }.
% 1.71/2.11 (13418) {G0,W3,D2,L1,V0,M1} { gt( n135300, n5 ) }.
% 1.71/2.11 (13419) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.71/2.11 (13420) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.71/2.11 (13421) {G0,W3,D2,L1,V0,M1} { gt( n135300, tptp_minus_1 ) }.
% 1.71/2.11 (13422) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.71/2.11 (13423) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.71/2.11 (13424) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.71/2.11 (13425) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.71/2.11 (13426) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.71/2.11 (13427) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.71/2.11 (13428) {G0,W3,D2,L1,V0,M1} { gt( n135300, n0 ) }.
% 1.71/2.11 (13429) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.71/2.11 (13430) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.71/2.11 (13431) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.71/2.11 (13432) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.71/2.11 (13433) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.71/2.11 (13434) {G0,W3,D2,L1,V0,M1} { gt( n135300, n1 ) }.
% 1.71/2.11 (13435) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.71/2.11 (13436) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.71/2.11 (13437) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.71/2.11 (13438) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.71/2.11 (13439) {G0,W3,D2,L1,V0,M1} { gt( n135300, n2 ) }.
% 1.71/2.11 (13440) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.71/2.11 (13441) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.71/2.11 (13442) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.71/2.11 (13443) {G0,W3,D2,L1,V0,M1} { gt( n135300, n3 ) }.
% 1.71/2.11 (13444) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.71/2.11 n1, X = n2, X = n3, X = n4 }.
% 1.71/2.11 (13445) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.71/2.11 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.71/2.11 (13446) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.71/2.11 (13447) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.71/2.11 n1 }.
% 1.71/2.11 (13448) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.71/2.11 n1, X = n2 }.
% 1.78/2.14 (13449) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.78/2.14 n1, X = n2, X = n3 }.
% 1.78/2.14 (13450) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.78/2.14 (13451) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.78/2.14 n5 }.
% 1.78/2.14 (13452) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.78/2.14 (13453) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.78/2.14 (13454) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.78/2.14
% 1.78/2.14
% 1.78/2.14 Total Proof:
% 1.78/2.14
% 1.78/2.14 subsumption: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y )
% 1.78/2.14 ) }.
% 1.78/2.14 parent0: (13249) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) )
% 1.78/2.14 }.
% 1.78/2.14 substitution0:
% 1.78/2.14 X := X
% 1.78/2.14 Y := Y
% 1.78/2.14 end
% 1.78/2.14 permutation0:
% 1.78/2.14 0 ==> 0
% 1.78/2.14 1 ==> 1
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.78/2.14 parent0: (13381) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 X := X
% 1.78/2.14 end
% 1.78/2.14 permutation0:
% 1.78/2.14 0 ==> 0
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 subsumption: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ),
% 1.78/2.14 leq( X, Y ) }.
% 1.78/2.14 parent0: (13384) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq
% 1.78/2.14 ( X, Y ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 X := X
% 1.78/2.14 Y := Y
% 1.78/2.14 end
% 1.78/2.14 permutation0:
% 1.78/2.14 0 ==> 0
% 1.78/2.14 1 ==> 1
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 1.78/2.14 parent0: (13406) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 end
% 1.78/2.14 permutation0:
% 1.78/2.14 0 ==> 0
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 *** allocated 576640 integers for termspace/termends
% 1.78/2.14 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, pv63 ) }.
% 1.78/2.14 parent0: (13407) {G0,W3,D2,L1,V0,M1} { leq( n1, pv63 ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 end
% 1.78/2.14 permutation0:
% 1.78/2.14 0 ==> 0
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 paramod: (16004) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 1.78/2.14 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.78/2.14 parent1[0; 2]: (13408) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1
% 1.78/2.14 ) ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 X := n135300
% 1.78/2.14 end
% 1.78/2.14 substitution1:
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 subsumption: (173) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300
% 1.78/2.14 ) ) }.
% 1.78/2.14 parent0: (16004) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 end
% 1.78/2.14 permutation0:
% 1.78/2.14 0 ==> 0
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 paramod: (16710) {G1,W4,D3,L1,V0,M1} { leq( pv63, pred( n5 ) ) }.
% 1.78/2.14 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.78/2.14 parent1[0; 2]: (13409) {G0,W5,D3,L1,V0,M1} { leq( pv63, minus( n5, n1 ) )
% 1.78/2.14 }.
% 1.78/2.14 substitution0:
% 1.78/2.14 X := n5
% 1.78/2.14 end
% 1.78/2.14 substitution1:
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 subsumption: (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv63, pred( n5 ) )
% 1.78/2.14 }.
% 1.78/2.14 parent0: (16710) {G1,W4,D3,L1,V0,M1} { leq( pv63, pred( n5 ) ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 end
% 1.78/2.14 permutation0:
% 1.78/2.14 0 ==> 0
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 factor: (17603) {G0,W22,D3,L6,V0,M6} { ! leq( n0, pv10 ), ! leq( n0, pv63
% 1.78/2.14 ), ! leq( pv10, minus( n135300, n1 ) ), ! leq( pv63, minus( n5, n1 ) ),
% 1.78/2.14 alpha10, ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.78/2.14 parent0[0, 5]: (13411) {G0,W25,D3,L7,V0,M7} { ! leq( n0, pv10 ), ! leq( n0
% 1.78/2.14 , pv63 ), ! leq( pv10, minus( n135300, n1 ) ), ! leq( pv63, minus( n5, n1
% 1.78/2.14 ) ), alpha10, ! leq( n0, pv10 ), ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 paramod: (17607) {G1,W21,D3,L6,V0,M6} { ! leq( pv63, pred( n5 ) ), ! leq(
% 1.78/2.14 n0, pv10 ), ! leq( n0, pv63 ), ! leq( pv10, minus( n135300, n1 ) ),
% 1.78/2.14 alpha10, ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.78/2.14 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.78/2.14 parent1[3; 3]: (17603) {G0,W22,D3,L6,V0,M6} { ! leq( n0, pv10 ), ! leq( n0
% 1.78/2.14 , pv63 ), ! leq( pv10, minus( n135300, n1 ) ), ! leq( pv63, minus( n5, n1
% 1.78/2.14 ) ), alpha10, ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 X := n5
% 1.78/2.14 end
% 1.78/2.14 substitution1:
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 factor: (17613) {G1,W16,D3,L5,V0,M5} { ! leq( pv63, pred( n5 ) ), ! leq(
% 1.78/2.14 n0, pv10 ), ! leq( n0, pv63 ), ! leq( pv10, minus( n135300, n1 ) ),
% 1.78/2.14 alpha10 }.
% 1.78/2.14 parent0[3, 5]: (17607) {G1,W21,D3,L6,V0,M6} { ! leq( pv63, pred( n5 ) ), !
% 1.78/2.14 leq( n0, pv10 ), ! leq( n0, pv63 ), ! leq( pv10, minus( n135300, n1 ) )
% 1.78/2.14 , alpha10, ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.78/2.14 substitution0:
% 1.78/2.14 end
% 1.78/2.14
% 1.78/2.14 paramod: (17614) {G1,W15,D3,L5,V0,M5} { ! leq( pv10, pred( n135300 ) ), !
% 1.78/2.14 leq( pv63, pred( n5 ) ), ! leq( n0, pv10 ), ! leq( n0, pv63 ), alpha10
% 1.78/2.14 }.
% 1.78/2.14 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.78/2.16 parent1[3; 3]: (17613) {G1,W16,D3,L5,V0,M5} { ! leq( pv63, pred( n5 ) ), !
% 1.78/2.16 leq( n0, pv10 ), ! leq( n0, pv63 ), ! leq( pv10, minus( n135300, n1 ) )
% 1.78/2.16 , alpha10 }.
% 1.78/2.16 substitution0:
% 1.78/2.16 X := n135300
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (17615) {G1,W12,D3,L4,V0,M4} { ! leq( pv10, pred( n135300 ) )
% 1.78/2.16 , ! leq( pv63, pred( n5 ) ), ! leq( n0, pv63 ), alpha10 }.
% 1.78/2.16 parent0[2]: (17614) {G1,W15,D3,L5,V0,M5} { ! leq( pv10, pred( n135300 ) )
% 1.78/2.16 , ! leq( pv63, pred( n5 ) ), ! leq( n0, pv10 ), ! leq( n0, pv63 ),
% 1.78/2.16 alpha10 }.
% 1.78/2.16 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 subsumption: (176) {G1,W12,D3,L4,V0,M4} I;f;f;d(146);d(146);r(171) { ! leq
% 1.78/2.16 ( n0, pv63 ), alpha10, ! leq( pv10, pred( n135300 ) ), ! leq( pv63, pred
% 1.78/2.16 ( n5 ) ) }.
% 1.78/2.16 parent0: (17615) {G1,W12,D3,L4,V0,M4} { ! leq( pv10, pred( n135300 ) ), !
% 1.78/2.16 leq( pv63, pred( n5 ) ), ! leq( n0, pv63 ), alpha10 }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 permutation0:
% 1.78/2.16 0 ==> 2
% 1.78/2.16 1 ==> 3
% 1.78/2.16 2 ==> 0
% 1.78/2.16 3 ==> 1
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 paramod: (18400) {G1,W8,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) ), !
% 1.78/2.16 alpha10, ! leq( n0, pv10 ) }.
% 1.78/2.16 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.78/2.16 parent1[2; 3]: (13413) {G0,W9,D3,L3,V0,M3} { ! alpha10, ! leq( n0, pv10 )
% 1.78/2.16 , ! leq( pv10, minus( n135300, n1 ) ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 X := n135300
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (18401) {G1,W5,D3,L2,V0,M2} { ! leq( pv10, pred( n135300 ) ),
% 1.78/2.16 ! alpha10 }.
% 1.78/2.16 parent0[2]: (18400) {G1,W8,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) ),
% 1.78/2.16 ! alpha10, ! leq( n0, pv10 ) }.
% 1.78/2.16 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 subsumption: (178) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha10, ! leq(
% 1.78/2.16 pv10, pred( n135300 ) ) }.
% 1.78/2.16 parent0: (18401) {G1,W5,D3,L2,V0,M2} { ! leq( pv10, pred( n135300 ) ), !
% 1.78/2.16 alpha10 }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 permutation0:
% 1.78/2.16 0 ==> 1
% 1.78/2.16 1 ==> 0
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 subsumption: (215) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.78/2.16 parent0: (13452) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 permutation0:
% 1.78/2.16 0 ==> 0
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (19056) {G1,W4,D3,L1,V0,M1} { leq( n1, succ( pv63 ) ) }.
% 1.78/2.16 parent0[0]: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) )
% 1.78/2.16 }.
% 1.78/2.16 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, pv63 ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 X := n1
% 1.78/2.16 Y := pv63
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 subsumption: (2052) {G1,W4,D3,L1,V0,M1} R(172,14) { leq( n1, succ( pv63 ) )
% 1.78/2.16 }.
% 1.78/2.16 parent0: (19056) {G1,W4,D3,L1,V0,M1} { leq( n1, succ( pv63 ) ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 permutation0:
% 1.78/2.16 0 ==> 0
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (19057) {G2,W15,D3,L4,V0,M4} { ! leq( pv10, pred( n135300 ) )
% 1.78/2.16 , ! leq( n0, pv63 ), ! leq( pv10, pred( n135300 ) ), ! leq( pv63, pred(
% 1.78/2.16 n5 ) ) }.
% 1.78/2.16 parent0[0]: (178) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha10, ! leq(
% 1.78/2.16 pv10, pred( n135300 ) ) }.
% 1.78/2.16 parent1[1]: (176) {G1,W12,D3,L4,V0,M4} I;f;f;d(146);d(146);r(171) { ! leq(
% 1.78/2.16 n0, pv63 ), alpha10, ! leq( pv10, pred( n135300 ) ), ! leq( pv63, pred(
% 1.78/2.16 n5 ) ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 factor: (19058) {G2,W11,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) ), !
% 1.78/2.16 leq( n0, pv63 ), ! leq( pv63, pred( n5 ) ) }.
% 1.78/2.16 parent0[0, 2]: (19057) {G2,W15,D3,L4,V0,M4} { ! leq( pv10, pred( n135300 )
% 1.78/2.16 ), ! leq( n0, pv63 ), ! leq( pv10, pred( n135300 ) ), ! leq( pv63, pred
% 1.78/2.16 ( n5 ) ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (19059) {G2,W7,D3,L2,V0,M2} { ! leq( n0, pv63 ), ! leq( pv63,
% 1.78/2.16 pred( n5 ) ) }.
% 1.78/2.16 parent0[0]: (19058) {G2,W11,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) )
% 1.78/2.16 , ! leq( n0, pv63 ), ! leq( pv63, pred( n5 ) ) }.
% 1.78/2.16 parent1[0]: (173) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 )
% 1.78/2.16 ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (19060) {G2,W3,D2,L1,V0,M1} { ! leq( n0, pv63 ) }.
% 1.78/2.16 parent0[1]: (19059) {G2,W7,D3,L2,V0,M2} { ! leq( n0, pv63 ), ! leq( pv63,
% 1.78/2.16 pred( n5 ) ) }.
% 1.78/2.16 parent1[0]: (174) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv63, pred( n5 ) )
% 1.78/2.16 }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 subsumption: (13228) {G2,W3,D2,L1,V0,M1} S(176);r(178);r(173);r(174) { !
% 1.78/2.16 leq( n0, pv63 ) }.
% 1.78/2.16 parent0: (19060) {G2,W3,D2,L1,V0,M1} { ! leq( n0, pv63 ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 permutation0:
% 1.78/2.16 0 ==> 0
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (19062) {G1,W5,D3,L1,V0,M1} { ! leq( succ( n0 ), succ( pv63 )
% 1.78/2.16 ) }.
% 1.78/2.16 parent0[0]: (13228) {G2,W3,D2,L1,V0,M1} S(176);r(178);r(173);r(174) { ! leq
% 1.78/2.16 ( n0, pv63 ) }.
% 1.78/2.16 parent1[1]: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ),
% 1.78/2.16 leq( X, Y ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 X := n0
% 1.78/2.16 Y := pv63
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 paramod: (19063) {G1,W4,D3,L1,V0,M1} { ! leq( n1, succ( pv63 ) ) }.
% 1.78/2.16 parent0[0]: (215) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.78/2.16 parent1[0; 2]: (19062) {G1,W5,D3,L1,V0,M1} { ! leq( succ( n0 ), succ( pv63
% 1.78/2.16 ) ) }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 resolution: (19064) {G2,W0,D0,L0,V0,M0} { }.
% 1.78/2.16 parent0[0]: (19063) {G1,W4,D3,L1,V0,M1} { ! leq( n1, succ( pv63 ) ) }.
% 1.78/2.16 parent1[0]: (2052) {G1,W4,D3,L1,V0,M1} R(172,14) { leq( n1, succ( pv63 ) )
% 1.78/2.16 }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 substitution1:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 subsumption: (13233) {G3,W0,D0,L0,V0,M0} R(13228,149);d(215);r(2052) { }.
% 1.78/2.16 parent0: (19064) {G2,W0,D0,L0,V0,M0} { }.
% 1.78/2.16 substitution0:
% 1.78/2.16 end
% 1.78/2.16 permutation0:
% 1.78/2.16 end
% 1.78/2.16
% 1.78/2.16 Proof check complete!
% 1.78/2.16
% 1.78/2.16 Memory use:
% 1.78/2.16
% 1.78/2.16 space for terms: 326909
% 1.78/2.16 space for clauses: 588853
% 1.78/2.16
% 1.78/2.16
% 1.78/2.16 clauses generated: 47054
% 1.78/2.16 clauses kept: 13234
% 1.78/2.16 clauses selected: 848
% 1.78/2.16 clauses deleted: 16
% 1.78/2.16 clauses inuse deleted: 12
% 1.78/2.16
% 1.78/2.16 subsentry: 233450
% 1.78/2.16 literals s-matched: 81768
% 1.78/2.16 literals matched: 65488
% 1.78/2.16 full subsumption: 42100
% 1.78/2.16
% 1.78/2.16 checksum: 1791132076
% 1.78/2.16
% 1.78/2.16
% 1.78/2.16 Bliksem ended
%------------------------------------------------------------------------------