%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV162+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 16:22:46 EDT 2022
% Result : Theorem 72.17s 72.60s
% Output : Refutation 72.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV162+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.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 : Thu Jun 16 04:34:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13
% 0.73/1.13 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.73/1.13 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.73/1.13 { ! gt( X, X ) }.
% 0.73/1.13 { leq( X, X ) }.
% 0.73/1.13 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.73/1.13 { ! lt( X, Y ), gt( Y, X ) }.
% 0.73/1.13 { ! gt( Y, X ), lt( X, Y ) }.
% 0.73/1.13 { ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.13 { ! gt( Y, X ), leq( X, Y ) }.
% 0.73/1.13 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.73/1.13 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.73/1.13 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.73/1.13 { gt( succ( X ), X ) }.
% 0.73/1.13 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.73/1.13 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.73/1.13 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.73/1.13 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.73/1.13 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.73/1.13 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.73/1.13 T ), X ) = T }.
% 0.73/1.13 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.73/1.13 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.73/1.13 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.73/1.13 a_select3( trans( X ), T, Z ) }.
% 0.73/1.13 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.73/1.13 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.13 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.73/1.13 ) }.
% 0.73/1.13 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.73/1.13 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.73/1.13 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.73/1.13 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.73/1.13 a_select3( inv( X ), T, Z ) }.
% 0.73/1.13 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.73/1.13 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.13 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.73/1.13 .
% 0.73/1.13 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.73/1.13 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.73/1.13 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.73/1.13 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.13 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.73/1.13 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.73/1.13 X, U, U, W ), T, Z ) }.
% 0.73/1.13 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.73/1.13 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.13 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.73/1.13 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.73/1.13 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.73/1.13 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.73/1.13 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.73/1.13 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.73/1.13 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.73/1.13 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.73/1.13 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.73/1.13 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.73/1.13 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.73/1.13 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.73/1.13 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.73/1.13 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.73/1.13 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.13 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.73/1.13 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.73/1.13 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.73/1.13 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.73/1.13 ( X, Y ) }.
% 0.73/1.13 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.73/1.13 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.73/1.13 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.73/1.13 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.73/1.13 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.73/1.13 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.73/1.13 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.73/1.13 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.73/1.13 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.73/1.13 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.73/1.13 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.73/1.13 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.73/1.13 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.73/1.13 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.73/1.13 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.73/1.13 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.73/1.13 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.73/1.13 ( X, Y ) }.
% 0.73/1.13 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.73/1.13 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.73/1.13 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.73/1.13 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.73/1.13 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.73/1.13 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.73/1.13 U ) ) ), T, Z ) }.
% 0.73/1.13 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.73/1.13 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.73/1.13 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.73/1.13 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.73/1.13 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.73/1.13 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.73/1.13 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.73/1.13 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.73/1.13 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.73/1.13 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.73/1.13 W ) ) ), T, Z ) }.
% 0.73/1.13 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.73/1.13 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.73/1.13 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.73/1.13 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.73/1.13 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.73/1.13 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.73/1.13 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.73/1.13 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.73/1.13 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.73/1.13 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.73/1.13 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.73/1.13 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.73/1.13 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.73/1.13 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.73/1.13 ) }.
% 0.73/1.13 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.73/1.13 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.73/1.13 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.73/1.13 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.73/1.13 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.73/1.13 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.73/1.13 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.73/1.13 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.73/1.13 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.73/1.13 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.73/1.13 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.73/1.13 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.73/1.13 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.73/1.13 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.73/1.13 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.73/1.13 alpha19( X, Y ) }.
% 0.73/1.13 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.73/1.13 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.73/1.13 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.73/1.13 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.73/1.13 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.73/1.13 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.73/1.13 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.73/1.13 ), alpha8( X ) }.
% 0.73/1.13 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.73/1.13 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.73/1.13 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.73/1.13 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.73/1.13 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.73/1.13 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.73/1.13 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.73/1.13 { succ( tptp_minus_1 ) = n0 }.
% 0.73/1.13 { plus( X, n1 ) = succ( X ) }.
% 0.73/1.13 { plus( n1, X ) = succ( X ) }.
% 0.73/1.13 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.73/1.13 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.73/1.13 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.73/1.13 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.73/1.13 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.73/1.13 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.73/1.13 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.73/1.13 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.73/1.13 { minus( X, n1 ) = pred( X ) }.
% 0.73/1.13 { pred( succ( X ) ) = X }.
% 0.73/1.13 { succ( pred( X ) ) = X }.
% 0.73/1.13 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.73/1.13 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.73/1.13 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.73/1.13 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.73/1.13 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.73/1.13 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.73/1.13 , Y, V0 ), Z, T ) = W }.
% 0.73/1.13 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.73/1.13 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.73/1.13 }.
% 0.73/1.13 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.73/1.13 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.73/1.13 U, Z, T, W ), X, Y ) = W }.
% 0.73/1.13 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.73/1.13 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.73/1.13 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.73/1.13 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.73/1.13 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.73/1.13 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.73/1.13 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.73/1.13 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.73/1.13 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.73/1.13 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.73/1.13 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.73/1.13 T }.
% 0.73/1.13 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.73/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.13 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.73/1.13 tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.13 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.73/1.13 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.73/1.13 { true }.
% 0.73/1.13 { ! def = use }.
% 0.73/1.13 { sum( n0, n4, a_select3( q, pv10, tptp_sum_index ) ) = n1 }.
% 0.73/1.13 { leq( n0, pv10 ) }.
% 0.73/1.13 { leq( pv10, n135299 ) }.
% 0.73/1.13 { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), sum( n0, n4, a_select3( q, X,
% 0.73/1.13 tptp_sum_index ) ) = n1 }.
% 0.73/1.13 { leq( n0, skol15 ) }.
% 0.73/1.13 { leq( skol15, pv10 ) }.
% 0.73/1.13 { ! sum( n0, n4, a_select3( q, skol15, tptp_sum_index ) ) = n1 }.
% 0.73/1.13 { gt( n5, n4 ) }.
% 0.73/1.13 { gt( n135299, n4 ) }.
% 0.73/1.13 { gt( n135299, n5 ) }.
% 0.73/1.13 { gt( n4, tptp_minus_1 ) }.
% 0.73/1.13 { gt( n5, tptp_minus_1 ) }.
% 0.73/1.13 { gt( n135299, tptp_minus_1 ) }.
% 0.73/1.13 { gt( n0, tptp_minus_1 ) }.
% 0.73/1.13 { gt( n1, tptp_minus_1 ) }.
% 0.73/1.13 { gt( n2, tptp_minus_1 ) }.
% 0.73/1.13 { gt( n3, tptp_minus_1 ) }.
% 0.73/1.13 { gt( n4, n0 ) }.
% 0.73/1.13 { gt( n5, n0 ) }.
% 0.73/1.13 { gt( n135299, n0 ) }.
% 0.73/1.13 { gt( n1, n0 ) }.
% 0.73/1.13 { gt( n2, n0 ) }.
% 0.73/1.13 { gt( n3, n0 ) }.
% 0.73/1.13 { gt( n4, n1 ) }.
% 0.73/1.13 { gt( n5, n1 ) }.
% 0.73/1.13 { gt( n135299, n1 ) }.
% 0.73/1.13 { gt( n2, n1 ) }.
% 0.73/1.13 { gt( n3, n1 ) }.
% 0.73/1.13 { gt( n4, n2 ) }.
% 0.73/1.13 { gt( n5, n2 ) }.
% 0.73/1.13 { gt( n135299, n2 ) }.
% 0.73/1.13 { gt( n3, n2 ) }.
% 0.73/1.13 { gt( n4, n3 ) }.
% 0.73/1.13 { gt( n5, n3 ) }.
% 0.73/1.13 { gt( n135299, n3 ) }.
% 0.73/1.13 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.73/1.13 .
% 0.73/1.13 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.73/1.13 = n5 }.
% 0.73/1.13 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.73/1.13 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.73/1.13 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.73/1.13 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.73/1.13 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.73/1.13 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.73/1.13 { succ( n0 ) = n1 }.
% 0.73/1.13 { succ( succ( n0 ) ) = n2 }.
% 0.73/1.13 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.73/1.13
% 0.73/1.13 percentage equality = 0.182994, percentage horn = 0.870968
% 0.73/1.13 This is a problem with some equality
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 1
% 0.73/1.13 useeqrefl = 1
% 0.73/1.13 useeqfact = 1
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 5
% 0.73/1.13 usesimpres = 3
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = eqrewr
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.13
% 0.73/1.13 termordering = kbo
% 0.73/1.13
% 0.73/1.13 litapriori = 0
% 0.73/1.13 termapriori = 1
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = negord
% 0.73/1.13
% 0.73/1.13 maxweight = 15
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 1
% 0.73/1.13 increasemaxweight = 1
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 0
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:0, o:49, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 gt [37, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.73/1.13 leq [39, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.73/1.13 lt [40, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.73/1.13 geq [41, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.73/1.13 pred [42, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.73/1.13 succ [43, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.13 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.13 uniform_int_rnd [46, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.73/1.13 dim [51, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.73/1.13 tptp_const_array1 [52, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.73/1.13 a_select2 [53, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.73/1.13 tptp_const_array2 [59, 3] (w:1, o:139, a:1, s:1, b:0),
% 59.94/60.35 a_select3 [60, 3] (w:1, o:140, a:1, s:1, b:0),
% 59.94/60.35 trans [63, 1] (w:1, o:57, a:1, s:1, b:0),
% 59.94/60.35 inv [64, 1] (w:1, o:58, a:1, s:1, b:0),
% 59.94/60.35 tptp_update3 [67, 4] (w:1, o:157, a:1, s:1, b:0),
% 59.94/60.35 tptp_madd [69, 2] (w:1, o:113, a:1, s:1, b:0),
% 59.94/60.35 tptp_msub [70, 2] (w:1, o:114, a:1, s:1, b:0),
% 59.94/60.35 tptp_mmul [71, 2] (w:1, o:115, a:1, s:1, b:0),
% 59.94/60.35 tptp_minus_1 [77, 0] (w:1, o:33, a:1, s:1, b:0),
% 59.94/60.35 sum [78, 3] (w:1, o:137, a:1, s:1, b:0),
% 59.94/60.35 tptp_float_0_0 [79, 0] (w:1, o:34, a:1, s:1, b:0),
% 59.94/60.35 n1 [80, 0] (w:1, o:35, a:1, s:1, b:0),
% 59.94/60.35 plus [81, 2] (w:1, o:119, a:1, s:1, b:0),
% 59.94/60.35 n2 [82, 0] (w:1, o:37, a:1, s:1, b:0),
% 59.94/60.35 n3 [83, 0] (w:1, o:38, a:1, s:1, b:0),
% 59.94/60.35 n4 [84, 0] (w:1, o:39, a:1, s:1, b:0),
% 59.94/60.35 n5 [85, 0] (w:1, o:40, a:1, s:1, b:0),
% 59.94/60.35 minus [86, 2] (w:1, o:120, a:1, s:1, b:0),
% 59.94/60.35 tptp_update2 [91, 3] (w:1, o:141, a:1, s:1, b:0),
% 59.94/60.35 true [92, 0] (w:1, o:43, a:1, s:1, b:0),
% 59.94/60.35 def [93, 0] (w:1, o:44, a:1, s:1, b:0),
% 59.94/60.35 use [94, 0] (w:1, o:46, a:1, s:1, b:0),
% 59.94/60.35 q [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 59.94/60.35 pv10 [96, 0] (w:1, o:47, a:1, s:1, b:0),
% 59.94/60.35 tptp_sum_index [97, 0] (w:1, o:45, a:1, s:1, b:0),
% 59.94/60.35 n135299 [98, 0] (w:1, o:36, a:1, s:1, b:0),
% 59.94/60.35 alpha1 [99, 2] (w:1, o:121, a:1, s:1, b:1),
% 59.94/60.35 alpha2 [100, 2] (w:1, o:127, a:1, s:1, b:1),
% 59.94/60.35 alpha3 [101, 2] (w:1, o:131, a:1, s:1, b:1),
% 59.94/60.35 alpha4 [102, 2] (w:1, o:132, a:1, s:1, b:1),
% 59.94/60.35 alpha5 [103, 2] (w:1, o:133, a:1, s:1, b:1),
% 59.94/60.35 alpha6 [104, 2] (w:1, o:134, a:1, s:1, b:1),
% 59.94/60.35 alpha7 [105, 2] (w:1, o:135, a:1, s:1, b:1),
% 59.94/60.35 alpha8 [106, 1] (w:1, o:59, a:1, s:1, b:1),
% 59.94/60.35 alpha9 [107, 2] (w:1, o:136, a:1, s:1, b:1),
% 59.94/60.35 alpha10 [108, 3] (w:1, o:142, a:1, s:1, b:1),
% 59.94/60.35 alpha11 [109, 3] (w:1, o:143, a:1, s:1, b:1),
% 59.94/60.35 alpha12 [110, 3] (w:1, o:144, a:1, s:1, b:1),
% 59.94/60.35 alpha13 [111, 2] (w:1, o:122, a:1, s:1, b:1),
% 59.94/60.35 alpha14 [112, 2] (w:1, o:123, a:1, s:1, b:1),
% 59.94/60.35 alpha15 [113, 2] (w:1, o:124, a:1, s:1, b:1),
% 59.94/60.35 alpha16 [114, 2] (w:1, o:125, a:1, s:1, b:1),
% 59.94/60.35 alpha17 [115, 3] (w:1, o:145, a:1, s:1, b:1),
% 59.94/60.35 alpha18 [116, 3] (w:1, o:146, a:1, s:1, b:1),
% 59.94/60.35 alpha19 [117, 2] (w:1, o:126, a:1, s:1, b:1),
% 59.94/60.35 alpha20 [118, 2] (w:1, o:128, a:1, s:1, b:1),
% 59.94/60.35 alpha21 [119, 3] (w:1, o:147, a:1, s:1, b:1),
% 59.94/60.35 alpha22 [120, 3] (w:1, o:148, a:1, s:1, b:1),
% 59.94/60.35 alpha23 [121, 3] (w:1, o:149, a:1, s:1, b:1),
% 59.94/60.35 alpha24 [122, 3] (w:1, o:150, a:1, s:1, b:1),
% 59.94/60.35 alpha25 [123, 3] (w:1, o:151, a:1, s:1, b:1),
% 59.94/60.35 alpha26 [124, 2] (w:1, o:129, a:1, s:1, b:1),
% 59.94/60.35 alpha27 [125, 2] (w:1, o:130, a:1, s:1, b:1),
% 59.94/60.35 alpha28 [126, 3] (w:1, o:152, a:1, s:1, b:1),
% 59.94/60.35 alpha29 [127, 3] (w:1, o:153, a:1, s:1, b:1),
% 59.94/60.35 alpha30 [128, 3] (w:1, o:154, a:1, s:1, b:1),
% 59.94/60.35 skol1 [129, 2] (w:1, o:88, a:1, s:1, b:1),
% 59.94/60.35 skol2 [130, 2] (w:1, o:96, a:1, s:1, b:1),
% 59.94/60.35 skol3 [131, 2] (w:1, o:105, a:1, s:1, b:1),
% 59.94/60.35 skol4 [132, 2] (w:1, o:106, a:1, s:1, b:1),
% 59.94/60.35 skol5 [133, 2] (w:1, o:107, a:1, s:1, b:1),
% 59.94/60.35 skol6 [134, 2] (w:1, o:108, a:1, s:1, b:1),
% 59.94/60.35 skol7 [135, 2] (w:1, o:109, a:1, s:1, b:1),
% 59.94/60.35 skol8 [136, 2] (w:1, o:110, a:1, s:1, b:1),
% 59.94/60.35 skol9 [137, 2] (w:1, o:111, a:1, s:1, b:1),
% 59.94/60.35 skol10 [138, 2] (w:1, o:89, a:1, s:1, b:1),
% 59.94/60.35 skol11 [139, 2] (w:1, o:90, a:1, s:1, b:1),
% 59.94/60.35 skol12 [140, 2] (w:1, o:91, a:1, s:1, b:1),
% 59.94/60.35 skol13 [141, 4] (w:1, o:155, a:1, s:1, b:1),
% 59.94/60.35 skol14 [142, 3] (w:1, o:138, a:1, s:1, b:1),
% 59.94/60.35 skol15 [143, 0] (w:1, o:32, a:1, s:1, b:1),
% 59.94/60.35 skol16 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 59.94/60.35 skol17 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 59.94/60.35 skol18 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 59.94/60.35 skol19 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 59.94/60.35 skol20 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 59.94/60.35 skol21 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 59.94/60.35 skol22 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 59.94/60.35 skol23 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 59.94/60.35 skol24 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 59.94/60.35 skol25 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 72.17/72.60 skol26 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 72.17/72.60 skol27 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 72.17/72.60 skol28 [156, 4] (w:1, o:156, a:1, s:1, b:1),
% 72.17/72.60 skol29 [157, 1] (w:1, o:56, a:1, s:1, b:1).
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Starting Search:
% 72.17/72.60
% 72.17/72.60 *** allocated 15000 integers for clauses
% 72.17/72.60 *** allocated 22500 integers for clauses
% 72.17/72.60 *** allocated 15000 integers for termspace/termends
% 72.17/72.60 *** allocated 33750 integers for clauses
% 72.17/72.60 *** allocated 50625 integers for clauses
% 72.17/72.60 *** allocated 22500 integers for termspace/termends
% 72.17/72.60 *** allocated 75937 integers for clauses
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 33750 integers for termspace/termends
% 72.17/72.60 *** allocated 113905 integers for clauses
% 72.17/72.60 *** allocated 50625 integers for termspace/termends
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 7955
% 72.17/72.60 Kept: 2035
% 72.17/72.60 Inuse: 171
% 72.17/72.60 Deleted: 0
% 72.17/72.60 Deletedinuse: 0
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 170857 integers for clauses
% 72.17/72.60 *** allocated 75937 integers for termspace/termends
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 113905 integers for termspace/termends
% 72.17/72.60 *** allocated 256285 integers for clauses
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 16061
% 72.17/72.60 Kept: 4036
% 72.17/72.60 Inuse: 326
% 72.17/72.60 Deleted: 0
% 72.17/72.60 Deletedinuse: 0
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 170857 integers for termspace/termends
% 72.17/72.60 *** allocated 384427 integers for clauses
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 23230
% 72.17/72.60 Kept: 6045
% 72.17/72.60 Inuse: 456
% 72.17/72.60 Deleted: 0
% 72.17/72.60 Deletedinuse: 0
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 256285 integers for termspace/termends
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 31358
% 72.17/72.60 Kept: 8078
% 72.17/72.60 Inuse: 551
% 72.17/72.60 Deleted: 0
% 72.17/72.60 Deletedinuse: 0
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 576640 integers for clauses
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 36100
% 72.17/72.60 Kept: 10121
% 72.17/72.60 Inuse: 670
% 72.17/72.60 Deleted: 0
% 72.17/72.60 Deletedinuse: 0
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 384427 integers for termspace/termends
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 44372
% 72.17/72.60 Kept: 12190
% 72.17/72.60 Inuse: 795
% 72.17/72.60 Deleted: 13
% 72.17/72.60 Deletedinuse: 12
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 864960 integers for clauses
% 72.17/72.60 *** allocated 576640 integers for termspace/termends
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 78629
% 72.17/72.60 Kept: 14670
% 72.17/72.60 Inuse: 849
% 72.17/72.60 Deleted: 14
% 72.17/72.60 Deletedinuse: 12
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 139868
% 72.17/72.60 Kept: 16896
% 72.17/72.60 Inuse: 864
% 72.17/72.60 Deleted: 14
% 72.17/72.60 Deletedinuse: 12
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 864960 integers for termspace/termends
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 175765
% 72.17/72.60 Kept: 18985
% 72.17/72.60 Inuse: 874
% 72.17/72.60 Deleted: 14
% 72.17/72.60 Deletedinuse: 12
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 1297440 integers for clauses
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying clauses:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 216452
% 72.17/72.60 Kept: 21163
% 72.17/72.60 Inuse: 1366
% 72.17/72.60 Deleted: 1687
% 72.17/72.60 Deletedinuse: 60
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 688240
% 72.17/72.60 Kept: 23662
% 72.17/72.60 Inuse: 1690
% 72.17/72.60 Deleted: 1692
% 72.17/72.60 Deletedinuse: 64
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 717479
% 72.17/72.60 Kept: 25671
% 72.17/72.60 Inuse: 1830
% 72.17/72.60 Deleted: 1693
% 72.17/72.60 Deletedinuse: 65
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 732084
% 72.17/72.60 Kept: 27853
% 72.17/72.60 Inuse: 1989
% 72.17/72.60 Deleted: 1709
% 72.17/72.60 Deletedinuse: 65
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 1946160 integers for clauses
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 747381
% 72.17/72.60 Kept: 30367
% 72.17/72.60 Inuse: 2100
% 72.17/72.60 Deleted: 1723
% 72.17/72.60 Deletedinuse: 65
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 760364
% 72.17/72.60 Kept: 32371
% 72.17/72.60 Inuse: 2115
% 72.17/72.60 Deleted: 1723
% 72.17/72.60 Deletedinuse: 65
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 781967
% 72.17/72.60 Kept: 34377
% 72.17/72.60 Inuse: 2243
% 72.17/72.60 Deleted: 1754
% 72.17/72.60 Deletedinuse: 66
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 808231
% 72.17/72.60 Kept: 36419
% 72.17/72.60 Inuse: 2334
% 72.17/72.60 Deleted: 1777
% 72.17/72.60 Deletedinuse: 66
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 832942
% 72.17/72.60 Kept: 38423
% 72.17/72.60 Inuse: 2419
% 72.17/72.60 Deleted: 1780
% 72.17/72.60 Deletedinuse: 66
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 *** allocated 1297440 integers for termspace/termends
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60 Resimplifying clauses:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Intermediate Status:
% 72.17/72.60 Generated: 856097
% 72.17/72.60 Kept: 40697
% 72.17/72.60 Inuse: 2508
% 72.17/72.60 Deleted: 7352
% 72.17/72.60 Deletedinuse: 66
% 72.17/72.60
% 72.17/72.60 Resimplifying inuse:
% 72.17/72.60 Done
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Bliksems!, er is een bewijs:
% 72.17/72.60 % SZS status Theorem
% 72.17/72.60 % SZS output start Refutation
% 72.17/72.60
% 72.17/72.60 (7) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (8) {G0,W6,D2,L2,V2,M2} I { ! leq( Y, X ), geq( X, Y ) }.
% 72.17/72.60 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 72.17/72.60 (16) {G0,W7,D3,L2,V2,M2} I { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 72.17/72.60 (148) {G0,W5,D4,L1,V1,M1} I { succ( pred( X ) ) ==> X }.
% 72.17/72.60 (171) {G0,W9,D4,L1,V0,M1} I { sum( n0, n4, a_select3( q, pv10,
% 72.17/72.60 tptp_sum_index ) ) ==> n1 }.
% 72.17/72.60 (174) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 72.17/72.60 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 72.17/72.60 (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 72.17/72.60 (176) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv10 ) }.
% 72.17/72.60 (177) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q, skol15,
% 72.17/72.60 tptp_sum_index ) ) ==> n1 }.
% 72.17/72.60 (560) {G1,W9,D2,L3,V2,M3} R(10,7) { X = Y, gt( Y, X ), ! geq( Y, X ) }.
% 72.17/72.60 (2057) {G1,W3,D2,L1,V0,M1} R(176,8) { geq( pv10, skol15 ) }.
% 72.17/72.60 (13330) {G1,W4,D3,L1,V0,M1} R(174,175);r(177) { ! leq( skol15, pred( pv10 )
% 72.17/72.60 ) }.
% 72.17/72.60 (41364) {G2,W3,D2,L1,V0,M1} R(13330,16);d(148) { ! gt( pv10, skol15 ) }.
% 72.17/72.60 (41452) {G3,W3,D2,L1,V0,M1} R(41364,560);r(2057) { pv10 ==> skol15 }.
% 72.17/72.60 (41491) {G4,W0,D0,L0,V0,M0} P(41452,171);r(177) { }.
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 % SZS output end Refutation
% 72.17/72.60 found a proof!
% 72.17/72.60
% 72.17/72.60
% 72.17/72.60 Unprocessed initial clauses:
% 72.17/72.60
% 72.17/72.60 (41493) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 72.17/72.60 (41494) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 72.17/72.60 (41495) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 72.17/72.60 (41496) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 72.17/72.60 (41497) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 72.17/72.60 }.
% 72.17/72.60 (41498) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 72.17/72.60 (41499) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 72.17/72.60 (41500) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41501) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 72.17/72.60 (41502) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 72.17/72.60 (41503) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 72.17/72.60 (41504) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 72.17/72.60 (41505) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 72.17/72.60 (41506) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 72.17/72.60 (41507) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 72.17/72.60 (41508) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 72.17/72.60 (41509) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 72.17/72.60 (41510) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 72.17/72.60 , X ) }.
% 72.17/72.60 (41511) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 72.17/72.60 , X ) ) }.
% 72.17/72.60 (41512) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 72.17/72.60 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 72.17/72.60 (41513) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 72.17/72.60 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 72.17/72.60 V0 ), X, T ) = V0 }.
% 72.17/72.60 (41514) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 72.17/72.60 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 72.17/72.60 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 72.17/72.60 (41515) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 72.17/72.60 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 72.17/72.60 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 72.17/72.60 = a_select3( trans( X ), T, Z ) }.
% 72.17/72.60 (41516) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 72.17/72.60 (41517) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41518) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41519) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha10( X, Y, Z ) }.
% 72.17/72.60 (41520) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41521) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41522) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41523) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 72.17/72.60 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 72.17/72.60 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 72.17/72.60 (41524) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 72.17/72.60 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 72.17/72.60 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 72.17/72.60 a_select3( inv( X ), T, Z ) }.
% 72.17/72.60 (41525) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 72.17/72.60 (41526) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41527) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41528) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha11( X, Y, Z ) }.
% 72.17/72.60 (41529) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41530) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41531) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41532) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 72.17/72.60 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 72.17/72.60 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 72.17/72.60 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 72.17/72.60 (41533) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 72.17/72.60 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 72.17/72.60 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 72.17/72.60 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 72.17/72.60 ( X, U, U, W ), T, Z ) }.
% 72.17/72.60 (41534) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 72.17/72.60 (41535) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41536) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41537) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha12( X, Y, Z ) }.
% 72.17/72.60 (41538) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41539) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41540) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41541) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 72.17/72.60 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 72.17/72.60 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 72.17/72.60 ), U, T ) }.
% 72.17/72.60 (41542) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 72.17/72.60 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 72.17/72.60 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 72.17/72.60 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 72.17/72.60 (41543) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 72.17/72.60 (41544) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41545) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41546) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha22( X, Y, Z ) }.
% 72.17/72.60 (41547) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41548) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41549) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41550) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 72.17/72.60 , skol20( X, Y ) ) }.
% 72.17/72.60 (41551) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 72.17/72.60 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 72.17/72.60 }.
% 72.17/72.60 (41552) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 72.17/72.60 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 72.17/72.60 (41553) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 72.17/72.60 (41554) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41555) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41556) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha23( X, Y, Z ) }.
% 72.17/72.60 (41557) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41558) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41559) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41560) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 72.17/72.60 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 72.17/72.60 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 72.17/72.60 ), U, T ) }.
% 72.17/72.60 (41561) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 72.17/72.60 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 72.17/72.60 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 72.17/72.60 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 72.17/72.60 (41562) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 72.17/72.60 (41563) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41564) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41565) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha24( X, Y, Z ) }.
% 72.17/72.60 (41566) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41567) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41568) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41569) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 72.17/72.60 , skol22( X, Y ) ) }.
% 72.17/72.60 (41570) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 72.17/72.60 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 72.17/72.60 }.
% 72.17/72.60 (41571) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 72.17/72.60 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 72.17/72.60 (41572) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 72.17/72.60 (41573) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41574) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41575) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha25( X, Y, Z ) }.
% 72.17/72.60 (41576) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41577) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41578) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41579) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 72.17/72.60 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 72.17/72.60 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 72.17/72.60 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 72.17/72.60 (41580) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 72.17/72.60 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 72.17/72.60 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 72.17/72.60 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 72.17/72.60 ( X, trans( U ) ) ), T, Z ) }.
% 72.17/72.60 (41581) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 72.17/72.60 (41582) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41583) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41584) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha17( X, Y, Z ) }.
% 72.17/72.60 (41585) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41586) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41587) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41588) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 72.17/72.60 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 72.17/72.60 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 72.17/72.60 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 72.17/72.60 (41589) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 72.17/72.60 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 72.17/72.60 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 72.17/72.60 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 72.17/72.60 ( X, trans( W ) ) ), T, Z ) }.
% 72.17/72.60 (41590) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 72.17/72.60 (41591) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41592) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41593) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha18( X, Y, Z ) }.
% 72.17/72.60 (41594) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41595) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41596) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41597) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 72.17/72.60 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 72.17/72.60 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 72.17/72.60 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 72.17/72.60 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 72.17/72.60 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 72.17/72.60 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 72.17/72.60 ) ), trans( V0 ) ) ) ), W, U ) }.
% 72.17/72.60 (41598) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 72.17/72.60 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 72.17/72.60 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 72.17/72.60 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 72.17/72.60 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 72.17/72.60 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 72.17/72.60 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 72.17/72.60 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 72.17/72.60 ) ), W, U ) }.
% 72.17/72.60 (41599) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 72.17/72.60 (41600) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41601) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41602) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha29( X, Y, Z ) }.
% 72.17/72.60 (41603) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41604) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41605) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41606) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 72.17/72.60 ), skol26( X, Y ) ) }.
% 72.17/72.60 (41607) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 72.17/72.60 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 72.17/72.60 }.
% 72.17/72.60 (41608) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 72.17/72.60 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 72.17/72.60 (41609) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 72.17/72.60 (41610) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41611) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41612) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha30( X, Y, Z ) }.
% 72.17/72.60 (41613) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41614) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41615) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41616) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 72.17/72.60 skol27( X, Y ) ) }.
% 72.17/72.60 (41617) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 72.17/72.60 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 72.17/72.60 (41618) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 72.17/72.60 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 72.17/72.60 (41619) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 72.17/72.60 (41620) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 72.17/72.60 (41621) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 72.17/72.60 (41622) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 72.17/72.60 , X ), alpha28( X, Y, Z ) }.
% 72.17/72.60 (41623) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41624) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 72.17/72.60 (41625) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41626) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 72.17/72.60 (41627) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 72.17/72.60 }.
% 72.17/72.60 (41628) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 72.17/72.60 (41629) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 72.17/72.60 (41630) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 72.17/72.60 (41631) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 72.17/72.60 (41632) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 72.17/72.60 (41633) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 72.17/72.60 }.
% 72.17/72.60 (41634) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 72.17/72.60 }.
% 72.17/72.60 (41635) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 72.17/72.60 ) ) ) }.
% 72.17/72.60 (41636) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 72.17/72.60 ) ) ) }.
% 72.17/72.60 (41637) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 72.17/72.60 succ( X ) ) ) ) ) }.
% 72.17/72.60 (41638) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 72.17/72.60 succ( X ) ) ) ) ) }.
% 72.17/72.60 (41639) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 72.17/72.60 (41640) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 72.17/72.60 (41641) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 72.17/72.60 (41642) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 72.17/72.60 }.
% 72.17/72.60 (41643) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 72.17/72.60 }.
% 72.17/72.60 (41644) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 72.17/72.60 (41645) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 72.17/72.60 (41646) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 72.17/72.60 ) = T }.
% 72.17/72.60 (41647) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 72.17/72.60 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 72.17/72.60 (41648) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 72.17/72.60 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 72.17/72.60 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 72.17/72.60 (41649) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 72.17/72.60 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 72.17/72.60 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 72.17/72.60 (41650) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 72.17/72.60 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 72.17/72.60 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 72.17/72.60 (41651) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 72.17/72.60 (41652) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 72.17/72.60 (41653) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 72.17/72.60 , Y, Z ) }.
% 72.17/72.60 (41654) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 72.17/72.60 (41655) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 72.17/72.60 (41656) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 72.17/72.60 ) }.
% 72.17/72.60 (41657) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 72.17/72.60 }.
% 72.17/72.60 (41658) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 72.17/72.60 tptp_update2( Z, X, U ), Y ) = T }.
% 72.17/72.60 (41659) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 72.17/72.60 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 72.17/72.60 (41660) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 72.17/72.60 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 72.17/72.60 (41661) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 72.17/72.60 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 72.17/72.60 }.
% 72.17/72.60 (41662) {G0,W1,D1,L1,V0,M1} { true }.
% 72.17/72.60 (41663) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 72.17/72.60 (41664) {G0,W9,D4,L1,V0,M1} { sum( n0, n4, a_select3( q, pv10,
% 72.17/72.60 tptp_sum_index ) ) = n1 }.
% 72.17/72.60 (41665) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 72.17/72.60 (41666) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 72.17/72.60 (41667) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 72.17/72.60 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 72.17/72.60 (41668) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 72.17/72.60 (41669) {G0,W3,D2,L1,V0,M1} { leq( skol15, pv10 ) }.
% 72.17/72.60 (41670) {G0,W9,D4,L1,V0,M1} { ! sum( n0, n4, a_select3( q, skol15,
% 72.17/72.60 tptp_sum_index ) ) = n1 }.
% 72.17/72.60 (41671) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 72.17/72.60 (41672) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 72.17/72.60 (41673) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 72.17/72.60 (41674) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 72.17/72.62 (41675) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 72.17/72.62 (41676) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 72.17/72.62 (41677) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 72.17/72.62 (41678) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 72.17/72.62 (41679) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 72.17/72.62 (41680) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 72.17/72.62 (41681) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 72.17/72.62 (41682) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 72.17/72.62 (41683) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 72.17/72.62 (41684) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 72.17/72.62 (41685) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 72.17/72.62 (41686) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 72.17/72.62 (41687) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 72.17/72.62 (41688) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 72.17/72.62 (41689) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 72.17/72.62 (41690) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 72.17/72.62 (41691) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 72.17/72.62 (41692) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 72.17/72.62 (41693) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 72.17/72.62 (41694) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 72.17/72.62 (41695) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 72.17/72.62 (41696) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 72.17/72.62 (41697) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 72.17/72.62 (41698) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 72.17/72.62 (41699) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 72.17/72.62 n1, X = n2, X = n3, X = n4 }.
% 72.17/72.62 (41700) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 72.17/72.62 n1, X = n2, X = n3, X = n4, X = n5 }.
% 72.17/72.62 (41701) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 72.17/72.62 (41702) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 72.17/72.62 n1 }.
% 72.17/72.62 (41703) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 72.17/72.62 n1, X = n2 }.
% 72.17/72.62 (41704) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 72.17/72.62 n1, X = n2, X = n3 }.
% 72.17/72.62 (41705) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 72.17/72.62 (41706) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 72.17/72.62 n5 }.
% 72.17/72.62 (41707) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 72.17/72.62 (41708) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 72.17/72.62 (41709) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 72.17/72.62
% 72.17/72.62
% 72.17/72.62 Total Proof:
% 72.17/72.62
% 72.17/72.62 subsumption: (7) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 72.17/72.62 parent0: (41500) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 1 ==> 1
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (8) {G0,W6,D2,L2,V2,M2} I { ! leq( Y, X ), geq( X, Y ) }.
% 72.17/72.62 parent0: (41501) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 1 ==> 1
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 72.17/72.62 }.
% 72.17/72.62 parent0: (41503) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X )
% 72.17/72.62 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 1 ==> 1
% 72.17/72.62 2 ==> 2
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (16) {G0,W7,D3,L2,V2,M2} I { ! gt( succ( Y ), X ), leq( X, Y )
% 72.17/72.62 }.
% 72.17/72.62 parent0: (41509) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y )
% 72.17/72.62 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 1 ==> 1
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (148) {G0,W5,D4,L1,V1,M1} I { succ( pred( X ) ) ==> X }.
% 72.17/72.62 parent0: (41641) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (171) {G0,W9,D4,L1,V0,M1} I { sum( n0, n4, a_select3( q, pv10
% 72.17/72.62 , tptp_sum_index ) ) ==> n1 }.
% 72.17/72.62 parent0: (41664) {G0,W9,D4,L1,V0,M1} { sum( n0, n4, a_select3( q, pv10,
% 72.17/72.62 tptp_sum_index ) ) = n1 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (174) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred
% 72.17/72.62 ( pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 72.17/72.62 parent0: (41667) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred(
% 72.17/72.62 pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 1 ==> 1
% 72.17/72.62 2 ==> 2
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 72.17/72.62 parent0: (41668) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (176) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv10 ) }.
% 72.17/72.62 parent0: (41669) {G0,W3,D2,L1,V0,M1} { leq( skol15, pv10 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (177) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q,
% 72.17/72.62 skol15, tptp_sum_index ) ) ==> n1 }.
% 72.17/72.62 parent0: (41670) {G0,W9,D4,L1,V0,M1} { ! sum( n0, n4, a_select3( q, skol15
% 72.17/72.62 , tptp_sum_index ) ) = n1 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 eqswap: (44764) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), gt( Y, X ) }.
% 72.17/72.62 parent0[1]: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 72.17/72.62 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44765) {G1,W9,D2,L3,V2,M3} { X = Y, gt( X, Y ), ! geq( X, Y )
% 72.17/72.62 }.
% 72.17/72.62 parent0[1]: (44764) {G0,W9,D2,L3,V2,M3} { Y = X, ! leq( X, Y ), gt( Y, X )
% 72.17/72.62 }.
% 72.17/72.62 parent1[1]: (7) {G0,W6,D2,L2,V2,M2} I { ! geq( X, Y ), leq( Y, X ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := Y
% 72.17/72.62 Y := X
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 eqswap: (44766) {G1,W9,D2,L3,V2,M3} { Y = X, gt( X, Y ), ! geq( X, Y ) }.
% 72.17/72.62 parent0[0]: (44765) {G1,W9,D2,L3,V2,M3} { X = Y, gt( X, Y ), ! geq( X, Y )
% 72.17/72.62 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (560) {G1,W9,D2,L3,V2,M3} R(10,7) { X = Y, gt( Y, X ), ! geq(
% 72.17/72.62 Y, X ) }.
% 72.17/72.62 parent0: (44766) {G1,W9,D2,L3,V2,M3} { Y = X, gt( X, Y ), ! geq( X, Y )
% 72.17/72.62 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := Y
% 72.17/72.62 Y := X
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 1 ==> 1
% 72.17/72.62 2 ==> 2
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44767) {G1,W3,D2,L1,V0,M1} { geq( pv10, skol15 ) }.
% 72.17/72.62 parent0[0]: (8) {G0,W6,D2,L2,V2,M2} I { ! leq( Y, X ), geq( X, Y ) }.
% 72.17/72.62 parent1[0]: (176) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv10 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := pv10
% 72.17/72.62 Y := skol15
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (2057) {G1,W3,D2,L1,V0,M1} R(176,8) { geq( pv10, skol15 ) }.
% 72.17/72.62 parent0: (44767) {G1,W3,D2,L1,V0,M1} { geq( pv10, skol15 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 eqswap: (44768) {G0,W16,D4,L3,V1,M3} { n1 ==> sum( n0, n4, a_select3( q, X
% 72.17/72.62 , tptp_sum_index ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 72.17/72.62 parent0[2]: (174) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred(
% 72.17/72.62 pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 eqswap: (44769) {G0,W9,D4,L1,V0,M1} { ! n1 ==> sum( n0, n4, a_select3( q,
% 72.17/72.62 skol15, tptp_sum_index ) ) }.
% 72.17/72.62 parent0[0]: (177) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q,
% 72.17/72.62 skol15, tptp_sum_index ) ) ==> n1 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44770) {G1,W13,D4,L2,V0,M2} { n1 ==> sum( n0, n4, a_select3(
% 72.17/72.62 q, skol15, tptp_sum_index ) ), ! leq( skol15, pred( pv10 ) ) }.
% 72.17/72.62 parent0[1]: (44768) {G0,W16,D4,L3,V1,M3} { n1 ==> sum( n0, n4, a_select3(
% 72.17/72.62 q, X, tptp_sum_index ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 72.17/72.62 parent1[0]: (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := skol15
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44771) {G1,W4,D3,L1,V0,M1} { ! leq( skol15, pred( pv10 ) )
% 72.17/72.62 }.
% 72.17/72.62 parent0[0]: (44769) {G0,W9,D4,L1,V0,M1} { ! n1 ==> sum( n0, n4, a_select3
% 72.17/72.62 ( q, skol15, tptp_sum_index ) ) }.
% 72.17/72.62 parent1[0]: (44770) {G1,W13,D4,L2,V0,M2} { n1 ==> sum( n0, n4, a_select3(
% 72.17/72.62 q, skol15, tptp_sum_index ) ), ! leq( skol15, pred( pv10 ) ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (13330) {G1,W4,D3,L1,V0,M1} R(174,175);r(177) { ! leq( skol15
% 72.17/72.62 , pred( pv10 ) ) }.
% 72.17/72.62 parent0: (44771) {G1,W4,D3,L1,V0,M1} { ! leq( skol15, pred( pv10 ) ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44773) {G1,W5,D4,L1,V0,M1} { ! gt( succ( pred( pv10 ) ),
% 72.17/72.62 skol15 ) }.
% 72.17/72.62 parent0[0]: (13330) {G1,W4,D3,L1,V0,M1} R(174,175);r(177) { ! leq( skol15,
% 72.17/72.62 pred( pv10 ) ) }.
% 72.17/72.62 parent1[1]: (16) {G0,W7,D3,L2,V2,M2} I { ! gt( succ( Y ), X ), leq( X, Y )
% 72.17/72.62 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 X := skol15
% 72.17/72.62 Y := pred( pv10 )
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 paramod: (44774) {G1,W3,D2,L1,V0,M1} { ! gt( pv10, skol15 ) }.
% 72.17/72.62 parent0[0]: (148) {G0,W5,D4,L1,V1,M1} I { succ( pred( X ) ) ==> X }.
% 72.17/72.62 parent1[0; 2]: (44773) {G1,W5,D4,L1,V0,M1} { ! gt( succ( pred( pv10 ) ),
% 72.17/72.62 skol15 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := pv10
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (41364) {G2,W3,D2,L1,V0,M1} R(13330,16);d(148) { ! gt( pv10,
% 72.17/72.62 skol15 ) }.
% 72.17/72.62 parent0: (44774) {G1,W3,D2,L1,V0,M1} { ! gt( pv10, skol15 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 eqswap: (44775) {G1,W9,D2,L3,V2,M3} { Y = X, gt( Y, X ), ! geq( Y, X ) }.
% 72.17/72.62 parent0[0]: (560) {G1,W9,D2,L3,V2,M3} R(10,7) { X = Y, gt( Y, X ), ! geq( Y
% 72.17/72.62 , X ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 X := X
% 72.17/72.62 Y := Y
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44776) {G2,W6,D2,L2,V0,M2} { pv10 = skol15, ! geq( pv10,
% 72.17/72.62 skol15 ) }.
% 72.17/72.62 parent0[0]: (41364) {G2,W3,D2,L1,V0,M1} R(13330,16);d(148) { ! gt( pv10,
% 72.17/72.62 skol15 ) }.
% 72.17/72.62 parent1[1]: (44775) {G1,W9,D2,L3,V2,M3} { Y = X, gt( Y, X ), ! geq( Y, X )
% 72.17/72.62 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 X := skol15
% 72.17/72.62 Y := pv10
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44777) {G2,W3,D2,L1,V0,M1} { pv10 = skol15 }.
% 72.17/72.62 parent0[1]: (44776) {G2,W6,D2,L2,V0,M2} { pv10 = skol15, ! geq( pv10,
% 72.17/72.62 skol15 ) }.
% 72.17/72.62 parent1[0]: (2057) {G1,W3,D2,L1,V0,M1} R(176,8) { geq( pv10, skol15 ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (41452) {G3,W3,D2,L1,V0,M1} R(41364,560);r(2057) { pv10 ==>
% 72.17/72.62 skol15 }.
% 72.17/72.62 parent0: (44777) {G2,W3,D2,L1,V0,M1} { pv10 = skol15 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 0 ==> 0
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 eqswap: (44780) {G0,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3( q,
% 72.17/72.62 pv10, tptp_sum_index ) ) }.
% 72.17/72.62 parent0[0]: (171) {G0,W9,D4,L1,V0,M1} I { sum( n0, n4, a_select3( q, pv10,
% 72.17/72.62 tptp_sum_index ) ) ==> n1 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 eqswap: (44781) {G0,W9,D4,L1,V0,M1} { ! n1 ==> sum( n0, n4, a_select3( q,
% 72.17/72.62 skol15, tptp_sum_index ) ) }.
% 72.17/72.62 parent0[0]: (177) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q,
% 72.17/72.62 skol15, tptp_sum_index ) ) ==> n1 }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 paramod: (44782) {G1,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3( q,
% 72.17/72.62 skol15, tptp_sum_index ) ) }.
% 72.17/72.62 parent0[0]: (41452) {G3,W3,D2,L1,V0,M1} R(41364,560);r(2057) { pv10 ==>
% 72.17/72.62 skol15 }.
% 72.17/72.62 parent1[0; 7]: (44780) {G0,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3
% 72.17/72.62 ( q, pv10, tptp_sum_index ) ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 resolution: (44783) {G1,W0,D0,L0,V0,M0} { }.
% 72.17/72.62 parent0[0]: (44781) {G0,W9,D4,L1,V0,M1} { ! n1 ==> sum( n0, n4, a_select3
% 72.17/72.62 ( q, skol15, tptp_sum_index ) ) }.
% 72.17/72.62 parent1[0]: (44782) {G1,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3( q
% 72.17/72.62 , skol15, tptp_sum_index ) ) }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 substitution1:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 subsumption: (41491) {G4,W0,D0,L0,V0,M0} P(41452,171);r(177) { }.
% 72.17/72.62 parent0: (44783) {G1,W0,D0,L0,V0,M0} { }.
% 72.17/72.62 substitution0:
% 72.17/72.62 end
% 72.17/72.62 permutation0:
% 72.17/72.62 end
% 72.17/72.62
% 72.17/72.62 Proof check complete!
% 72.17/72.62
% 72.17/72.62 Memory use:
% 72.17/72.62
% 72.17/72.62 space for terms: 888034
% 72.17/72.62 space for clauses: 1755956
% 72.17/72.62
% 72.17/72.62
% 72.17/72.62 clauses generated: 864913
% 72.17/72.62 clauses kept: 41492
% 72.17/72.62 clauses selected: 2537
% 72.17/72.62 clauses deleted: 7358
% 72.17/72.62 clauses inuse deleted: 72
% 72.17/72.62
% 72.17/72.62 subsentry: 1677280
% 72.17/72.62 literals s-matched: 790033
% 72.17/72.62 literals matched: 730209
% 72.17/72.62 full subsumption: 441214
% 72.17/72.62
% 72.17/72.62 checksum: -794295876
% 72.17/72.62
% 72.17/72.62
% 72.17/72.62 Bliksem ended
%------------------------------------------------------------------------------