TSTP Solution File: SWV055+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 16:22:19 EDT 2022
% Result : Theorem 10.87s 11.29s
% Output : Refutation 10.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 10:15:14 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.74/1.16 *** allocated 10000 integers for termspace/termends
% 0.74/1.16 *** allocated 10000 integers for clauses
% 0.74/1.16 *** allocated 10000 integers for justifications
% 0.74/1.16 Bliksem 1.12
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Automatic Strategy Selection
% 0.74/1.16
% 0.74/1.16 *** allocated 15000 integers for termspace/termends
% 0.74/1.16
% 0.74/1.16 Clauses:
% 0.74/1.16
% 0.74/1.16 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.74/1.16 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.74/1.16 { ! gt( X, X ) }.
% 0.74/1.16 { leq( X, X ) }.
% 0.74/1.16 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.74/1.16 { ! lt( X, Y ), gt( Y, X ) }.
% 0.74/1.16 { ! gt( Y, X ), lt( X, Y ) }.
% 0.74/1.16 { ! geq( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( Y, X ), geq( X, Y ) }.
% 0.74/1.16 { ! gt( Y, X ), leq( X, Y ) }.
% 0.74/1.16 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.74/1.16 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.74/1.16 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.74/1.16 { gt( succ( X ), X ) }.
% 0.74/1.16 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.74/1.16 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.74/1.16 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.74/1.16 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.74/1.16 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.74/1.16 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.74/1.16 T ), X ) = T }.
% 0.74/1.16 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.74/1.16 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.74/1.16 { alpha11( Y, skol1( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.74/1.16 a_select3( trans( X ), T, Z ) }.
% 0.74/1.16 { ! a_select3( X, skol1( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.74/1.16 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.16 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.74/1.16 ) }.
% 0.74/1.16 { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.74/1.16 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.74/1.16 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.74/1.16 { alpha12( Y, skol2( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.74/1.16 a_select3( inv( X ), T, Z ) }.
% 0.74/1.16 { ! a_select3( X, skol2( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.74/1.16 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.16 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.74/1.16 .
% 0.74/1.16 { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.74/1.16 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.74/1.16 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.74/1.16 { alpha13( Y, skol3( X, Y ), skol19( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.16 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.74/1.16 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.74/1.16 X, U, U, W ), T, Z ) }.
% 0.74/1.16 { ! a_select3( X, skol3( X, Y ), skol19( X, Y ) ) = a_select3( X, skol19( X
% 0.74/1.16 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.16 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.74/1.16 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.74/1.16 { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.74/1.16 { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.74/1.16 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.74/1.16 { alpha4( X, Z ), alpha24( Z, skol4( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.74/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.74/1.16 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.74/1.16 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol20( Y, Z ) ) =
% 0.74/1.16 a_select3( Y, skol20( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.74/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.74/1.16 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.74/1.16 { ! alpha24( X, Y, Z ), alpha14( X, Y ) }.
% 0.74/1.16 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.74/1.16 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.74/1.16 { ! alpha4( X, Y ), alpha25( Y, skol5( X, Y ), skol21( X, Y ) ) }.
% 0.74/1.16 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol21( X, Y ) ) =
% 0.74/1.16 a_select3( X, skol21( X, Y ), skol5( X, Y ) ) }.
% 0.74/1.16 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.74/1.16 ( X, Y ) }.
% 0.74/1.16 { ! alpha25( X, Y, Z ), alpha15( X, Y ) }.
% 0.74/1.16 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.74/1.16 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.74/1.16 { alpha5( X, Z ), alpha26( Z, skol6( Y, Z ), skol22( Y, Z ) ), ! leq( n0, T
% 0.74/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.74/1.16 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.74/1.16 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol22( Y, Z ) ) =
% 0.74/1.16 a_select3( Y, skol22( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.74/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.74/1.16 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.74/1.16 { ! alpha26( X, Y, Z ), alpha16( X, Y ) }.
% 0.74/1.16 { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.74/1.16 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.74/1.16 { ! alpha5( X, Y ), alpha27( Y, skol7( X, Y ), skol23( X, Y ) ) }.
% 0.74/1.16 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol23( X, Y ) ) =
% 0.74/1.16 a_select3( X, skol23( X, Y ), skol7( X, Y ) ) }.
% 0.74/1.16 { ! alpha27( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.74/1.16 ( X, Y ) }.
% 0.74/1.16 { ! alpha27( X, Y, Z ), alpha17( X, Y ) }.
% 0.74/1.16 { ! alpha27( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha27( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha27( X, Y, Z ) }.
% 0.74/1.16 { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.74/1.16 { alpha18( Y, skol8( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.74/1.16 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.74/1.16 U ) ) ), T, Z ) }.
% 0.74/1.16 { ! a_select3( X, skol8( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.74/1.16 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.74/1.16 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.74/1.16 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.74/1.16 { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.74/1.16 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.74/1.16 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.74/1.16 { alpha19( Y, skol9( X, Y ), skol25( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.74/1.16 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.74/1.16 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.74/1.16 W ) ) ), T, Z ) }.
% 0.74/1.16 { ! a_select3( X, skol9( X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X
% 0.74/1.16 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.74/1.16 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.74/1.16 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.74/1.16 { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.74/1.16 { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.74/1.16 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.74/1.16 { alpha8( Y ), alpha20( X, T ), alpha32( T, skol10( Z, T ), skol26( Z, T )
% 0.74/1.16 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.74/1.16 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.74/1.16 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.74/1.16 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.74/1.16 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.74/1.16 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.74/1.16 ) }.
% 0.74/1.16 { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol26( Z,
% 0.74/1.16 T ) ) = a_select3( Z, skol26( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.74/1.16 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.74/1.16 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.74/1.16 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.74/1.16 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.74/1.16 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.74/1.16 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.74/1.16 { ! alpha32( X, Y, Z ), alpha28( X, Y ) }.
% 0.74/1.16 { ! alpha32( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha32( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha32( X, Y, Z ) }.
% 0.74/1.16 { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y ) }.
% 0.74/1.16 { ! alpha20( X, Y ), alpha33( Y, skol11( X, Y ), skol27( X, Y ) ) }.
% 0.74/1.16 { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol27( X, Y ) ) =
% 0.74/1.16 a_select3( X, skol27( X, Y ), skol11( X, Y ) ) }.
% 0.74/1.16 { ! alpha33( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.74/1.16 alpha20( X, Y ) }.
% 0.74/1.16 { ! alpha33( X, Y, Z ), alpha29( X, Y ) }.
% 0.74/1.16 { ! alpha33( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha33( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha29( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha33( X, Y, Z ) }.
% 0.74/1.16 { ! alpha29( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha29( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha29( X, Y ) }.
% 0.74/1.16 { ! alpha8( X ), alpha30( Y, skol12( X, Y ), skol28( X, Y ) ) }.
% 0.74/1.16 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol28( X, Y ) ) =
% 0.74/1.16 a_select3( X, skol28( X, Y ), skol12( X, Y ) ) }.
% 0.74/1.16 { ! alpha30( skol32( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.74/1.16 ), alpha8( X ) }.
% 0.74/1.16 { ! alpha30( X, Y, Z ), alpha21( X, Y ) }.
% 0.74/1.16 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.16 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.16 { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.74/1.16 { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.74/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.74/1.16 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.74/1.16 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.74/1.16 { succ( tptp_minus_1 ) = n0 }.
% 0.74/1.16 { plus( X, n1 ) = succ( X ) }.
% 0.74/1.16 { plus( n1, X ) = succ( X ) }.
% 0.74/1.16 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.74/1.16 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.74/1.16 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.74/1.16 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.74/1.16 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.74/1.16 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.74/1.16 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.74/1.16 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.74/1.16 { minus( X, n1 ) = pred( X ) }.
% 0.74/1.16 { pred( succ( X ) ) = X }.
% 0.74/1.16 { succ( pred( X ) ) = X }.
% 0.74/1.16 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.74/1.16 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.74/1.16 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.74/1.16 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.74/1.16 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.74/1.16 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.74/1.16 , Y, V0 ), Z, T ) = W }.
% 0.74/1.16 { leq( skol29( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.74/1.16 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.74/1.16 }.
% 0.74/1.16 { alpha22( Z, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ), ! leq( n0, X )
% 0.74/1.16 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.74/1.16 U, Z, T, W ), X, Y ) = W }.
% 0.74/1.16 { ! a_select3( U, skol13( Z, T, U, W ), skol29( Z, T, U, W ) ) = W, ! leq(
% 0.74/1.16 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.74/1.16 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.74/1.16 { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.74/1.16 { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.74/1.16 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.74/1.16 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.74/1.16 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.74/1.16 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.74/1.16 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.74/1.16 T }.
% 0.74/1.16 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.74/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.16 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.74/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.16 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.74/1.16 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.16 { true }.
% 0.74/1.16 { ! def = use }.
% 0.74/1.16 { leq( n0, pv10 ) }.
% 0.74/1.16 { leq( pv10, minus( n135300, n1 ) ) }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, minus( pv10, n1 ) ), sum( n0, minus( n5, n1 ),
% 0.74/1.16 a_select3( q, X, Y ) ) = n1 }.
% 0.74/1.16 { alpha10, leq( n0, skol15 ) }.
% 0.74/1.16 { alpha10, leq( skol15, minus( pv10, n1 ) ) }.
% 0.74/1.16 { alpha10, ! sum( n0, minus( n5, n1 ), a_select3( q, skol15, skol30 ) ) =
% 0.74/1.16 n1 }.
% 0.74/1.16 { ! alpha10, alpha23, alpha31 }.
% 0.74/1.16 { ! alpha23, alpha10 }.
% 0.74/1.16 { ! alpha31, alpha10 }.
% 0.74/1.16 { ! alpha31, leq( n0, skol16 ) }.
% 0.74/1.16 { ! alpha31, leq( skol16, minus( n0, n1 ) ) }.
% 0.74/1.16 { ! alpha31, ! a_select3( q, pv10, skol16 ) = divide( sqrt( times( minus(
% 0.74/1.16 a_select3( center, skol16, n0 ), a_select2( x, pv10 ) ), minus( a_select3
% 0.74/1.16 ( center, skol16, n0 ), a_select2( x, pv10 ) ) ) ), sum( n0, minus( n5,
% 0.74/1.16 n1 ), sqrt( times( minus( a_select3( center, skol31, n0 ), a_select2( x,
% 0.74/1.16 pv10 ) ), minus( a_select3( center, skol31, n0 ), a_select2( x, pv10 ) )
% 0.74/1.16 ) ) ) ) }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, minus( n0, n1 ) ), a_select3( q, pv10, X ) =
% 0.74/1.16 divide( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x,
% 0.74/1.16 pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ),
% 0.74/1.16 sum( n0, minus( n5, n1 ), sqrt( times( minus( a_select3( center, Y, n0 )
% 0.74/1.16 , a_select2( x, pv10 ) ), minus( a_select3( center, Y, n0 ), a_select2( x
% 0.74/1.16 , pv10 ) ) ) ) ) ), alpha31 }.
% 0.74/1.16 { ! alpha23, ! leq( n0, pv10 ), ! leq( pv10, minus( n135300, n1 ) ) }.
% 0.74/1.16 { leq( n0, pv10 ), alpha23 }.
% 0.74/1.16 { leq( pv10, minus( n135300, n1 ) ), alpha23 }.
% 0.74/1.16 { gt( n5, n4 ) }.
% 0.74/1.16 { gt( n135300, n4 ) }.
% 0.74/1.16 { gt( n135300, n5 ) }.
% 0.74/1.16 { gt( n4, tptp_minus_1 ) }.
% 0.74/1.16 { gt( n5, tptp_minus_1 ) }.
% 0.74/1.16 { gt( n135300, tptp_minus_1 ) }.
% 0.74/1.16 { gt( n0, tptp_minus_1 ) }.
% 0.74/1.16 { gt( n1, tptp_minus_1 ) }.
% 0.74/1.16 { gt( n2, tptp_minus_1 ) }.
% 0.74/1.16 { gt( n3, tptp_minus_1 ) }.
% 0.74/1.16 { gt( n4, n0 ) }.
% 0.74/1.16 { gt( n5, n0 ) }.
% 0.74/1.16 { gt( n135300, n0 ) }.
% 0.74/1.16 { gt( n1, n0 ) }.
% 0.74/1.16 { gt( n2, n0 ) }.
% 0.74/1.16 { gt( n3, n0 ) }.
% 0.74/1.16 { gt( n4, n1 ) }.
% 0.74/1.16 { gt( n5, n1 ) }.
% 0.74/1.16 { gt( n135300, n1 ) }.
% 0.74/1.16 { gt( n2, n1 ) }.
% 0.74/1.16 { gt( n3, n1 ) }.
% 0.74/1.16 { gt( n4, n2 ) }.
% 0.74/1.16 { gt( n5, n2 ) }.
% 0.74/1.16 { gt( n135300, n2 ) }.
% 0.74/1.16 { gt( n3, n2 ) }.
% 0.74/1.16 { gt( n4, n3 ) }.
% 0.74/1.16 { gt( n5, n3 ) }.
% 0.74/1.16 { gt( n135300, n3 ) }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.74/1.16 .
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.74/1.16 = n5 }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.74/1.16 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.74/1.16 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.74/1.16 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.74/1.16 { succ( n0 ) = n1 }.
% 0.74/1.16 { succ( succ( n0 ) ) = n2 }.
% 0.74/1.16 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.74/1.16
% 0.74/1.16 percentage equality = 0.177620, percentage horn = 0.857143
% 0.74/1.16 This is a problem with some equality
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Options Used:
% 0.74/1.16
% 0.74/1.16 useres = 1
% 0.74/1.16 useparamod = 1
% 0.74/1.16 useeqrefl = 1
% 0.74/1.16 useeqfact = 1
% 0.74/1.16 usefactor = 1
% 0.74/1.16 usesimpsplitting = 0
% 0.74/1.16 usesimpdemod = 5
% 0.74/1.16 usesimpres = 3
% 0.74/1.16
% 0.74/1.16 resimpinuse = 1000
% 0.74/1.16 resimpclauses = 20000
% 0.74/1.16 substype = eqrewr
% 0.74/1.16 backwardsubs = 1
% 0.74/1.16 selectoldest = 5
% 0.74/1.16
% 0.74/1.16 litorderings [0] = split
% 0.74/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.16
% 0.74/1.16 termordering = kbo
% 0.74/1.16
% 0.74/1.16 litapriori = 0
% 0.74/1.16 termapriori = 1
% 0.74/1.16 litaposteriori = 0
% 0.74/1.16 termaposteriori = 0
% 0.74/1.16 demodaposteriori = 0
% 0.74/1.16 ordereqreflfact = 0
% 0.74/1.16
% 0.74/1.16 litselect = negord
% 0.74/1.16
% 0.74/1.16 maxweight = 15
% 0.74/1.16 maxdepth = 30000
% 0.74/1.16 maxlength = 115
% 0.74/1.16 maxnrvars = 195
% 0.74/1.16 excuselevel = 1
% 8.25/8.65 increasemaxweight = 1
% 8.25/8.65
% 8.25/8.65 maxselected = 10000000
% 8.25/8.65 maxnrclauses = 10000000
% 8.25/8.65
% 8.25/8.65 showgenerated = 0
% 8.25/8.65 showkept = 0
% 8.25/8.65 showselected = 0
% 8.25/8.65 showdeleted = 0
% 8.25/8.65 showresimp = 1
% 8.25/8.65 showstatus = 2000
% 8.25/8.65
% 8.25/8.65 prologoutput = 0
% 8.25/8.65 nrgoals = 5000000
% 8.25/8.65 totalproof = 1
% 8.25/8.65
% 8.25/8.65 Symbols occurring in the translation:
% 8.25/8.65
% 8.25/8.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.25/8.65 . [1, 2] (w:1, o:68, a:1, s:1, b:0),
% 8.25/8.65 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 8.25/8.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.25/8.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.25/8.65 gt [37, 2] (w:1, o:92, a:1, s:1, b:0),
% 8.25/8.65 leq [39, 2] (w:1, o:93, a:1, s:1, b:0),
% 8.25/8.65 lt [40, 2] (w:1, o:94, a:1, s:1, b:0),
% 8.25/8.65 geq [41, 2] (w:1, o:95, a:1, s:1, b:0),
% 8.25/8.65 pred [42, 1] (w:1, o:61, a:1, s:1, b:0),
% 8.25/8.65 succ [43, 1] (w:1, o:62, a:1, s:1, b:0),
% 8.25/8.65 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 8.25/8.65 uniform_int_rnd [46, 2] (w:1, o:125, a:1, s:1, b:0),
% 8.25/8.65 dim [51, 2] (w:1, o:126, a:1, s:1, b:0),
% 8.25/8.65 tptp_const_array1 [52, 2] (w:1, o:120, a:1, s:1, b:0),
% 8.25/8.65 a_select2 [53, 2] (w:1, o:127, a:1, s:1, b:0),
% 8.25/8.65 tptp_const_array2 [59, 3] (w:1, o:149, a:1, s:1, b:0),
% 8.25/8.65 a_select3 [60, 3] (w:1, o:150, a:1, s:1, b:0),
% 8.25/8.65 trans [63, 1] (w:1, o:65, a:1, s:1, b:0),
% 8.25/8.65 inv [64, 1] (w:1, o:66, a:1, s:1, b:0),
% 8.25/8.65 tptp_update3 [67, 4] (w:1, o:167, a:1, s:1, b:0),
% 8.25/8.65 tptp_madd [69, 2] (w:1, o:121, a:1, s:1, b:0),
% 8.25/8.65 tptp_msub [70, 2] (w:1, o:122, a:1, s:1, b:0),
% 8.25/8.65 tptp_mmul [71, 2] (w:1, o:123, a:1, s:1, b:0),
% 8.25/8.65 tptp_minus_1 [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 8.25/8.65 sum [78, 3] (w:1, o:147, a:1, s:1, b:0),
% 8.25/8.65 tptp_float_0_0 [79, 0] (w:1, o:37, a:1, s:1, b:0),
% 8.25/8.65 n1 [80, 0] (w:1, o:38, a:1, s:1, b:0),
% 8.25/8.65 plus [81, 2] (w:1, o:128, a:1, s:1, b:0),
% 8.25/8.65 n2 [82, 0] (w:1, o:40, a:1, s:1, b:0),
% 8.25/8.65 n3 [83, 0] (w:1, o:41, a:1, s:1, b:0),
% 8.25/8.65 n4 [84, 0] (w:1, o:42, a:1, s:1, b:0),
% 8.25/8.65 n5 [85, 0] (w:1, o:43, a:1, s:1, b:0),
% 8.25/8.65 minus [86, 2] (w:1, o:129, a:1, s:1, b:0),
% 8.25/8.65 tptp_update2 [91, 3] (w:1, o:151, a:1, s:1, b:0),
% 8.25/8.65 true [92, 0] (w:1, o:46, a:1, s:1, b:0),
% 8.25/8.65 def [93, 0] (w:1, o:48, a:1, s:1, b:0),
% 8.25/8.65 use [94, 0] (w:1, o:49, a:1, s:1, b:0),
% 8.25/8.65 pv10 [95, 0] (w:1, o:50, a:1, s:1, b:0),
% 8.25/8.65 n135300 [96, 0] (w:1, o:39, a:1, s:1, b:0),
% 8.25/8.65 q [97, 0] (w:1, o:51, a:1, s:1, b:0),
% 8.25/8.65 center [98, 0] (w:1, o:47, a:1, s:1, b:0),
% 8.25/8.65 x [99, 0] (w:1, o:52, a:1, s:1, b:0),
% 8.25/8.65 times [100, 2] (w:1, o:124, a:1, s:1, b:0),
% 8.25/8.65 sqrt [101, 1] (w:1, o:63, a:1, s:1, b:0),
% 8.25/8.65 divide [102, 2] (w:1, o:130, a:1, s:1, b:0),
% 8.25/8.65 alpha1 [103, 2] (w:1, o:131, a:1, s:1, b:1),
% 8.25/8.65 alpha2 [104, 2] (w:1, o:136, a:1, s:1, b:1),
% 8.25/8.65 alpha3 [105, 2] (w:1, o:141, a:1, s:1, b:1),
% 8.25/8.65 alpha4 [106, 2] (w:1, o:142, a:1, s:1, b:1),
% 8.25/8.65 alpha5 [107, 2] (w:1, o:143, a:1, s:1, b:1),
% 8.25/8.65 alpha6 [108, 2] (w:1, o:144, a:1, s:1, b:1),
% 8.25/8.65 alpha7 [109, 2] (w:1, o:145, a:1, s:1, b:1),
% 8.25/8.65 alpha8 [110, 1] (w:1, o:67, a:1, s:1, b:1),
% 8.25/8.65 alpha9 [111, 2] (w:1, o:146, a:1, s:1, b:1),
% 8.25/8.65 alpha10 [112, 0] (w:1, o:53, a:1, s:1, b:1),
% 8.25/8.65 alpha11 [113, 3] (w:1, o:152, a:1, s:1, b:1),
% 8.25/8.65 alpha12 [114, 3] (w:1, o:153, a:1, s:1, b:1),
% 8.25/8.65 alpha13 [115, 3] (w:1, o:154, a:1, s:1, b:1),
% 8.25/8.65 alpha14 [116, 2] (w:1, o:132, a:1, s:1, b:1),
% 8.25/8.65 alpha15 [117, 2] (w:1, o:133, a:1, s:1, b:1),
% 8.25/8.65 alpha16 [118, 2] (w:1, o:134, a:1, s:1, b:1),
% 8.25/8.65 alpha17 [119, 2] (w:1, o:135, a:1, s:1, b:1),
% 8.25/8.65 alpha18 [120, 3] (w:1, o:155, a:1, s:1, b:1),
% 8.25/8.65 alpha19 [121, 3] (w:1, o:156, a:1, s:1, b:1),
% 8.25/8.65 alpha20 [122, 2] (w:1, o:137, a:1, s:1, b:1),
% 8.25/8.65 alpha21 [123, 2] (w:1, o:138, a:1, s:1, b:1),
% 8.25/8.65 alpha22 [124, 3] (w:1, o:157, a:1, s:1, b:1),
% 8.25/8.65 alpha23 [125, 0] (w:1, o:54, a:1, s:1, b:1),
% 8.25/8.65 alpha24 [126, 3] (w:1, o:158, a:1, s:1, b:1),
% 8.25/8.65 alpha25 [127, 3] (w:1, o:159, a:1, s:1, b:1),
% 8.25/8.65 alpha26 [128, 3] (w:1, o:160, a:1, s:1, b:1),
% 8.25/8.65 alpha27 [129, 3] (w:1, o:161, a:1, s:1, b:1),
% 8.25/8.65 alpha28 [130, 2] (w:1, o:139, a:1, s:1, b:1),
% 8.25/8.65 alpha29 [131, 2] (w:1, o:140, a:1, s:1, b:1),
% 10.87/11.29 alpha30 [132, 3] (w:1, o:162, a:1, s:1, b:1),
% 10.87/11.29 alpha31 [133, 0] (w:1, o:55, a:1, s:1, b:1),
% 10.87/11.29 alpha32 [134, 3] (w:1, o:163, a:1, s:1, b:1),
% 10.87/11.29 alpha33 [135, 3] (w:1, o:164, a:1, s:1, b:1),
% 10.87/11.29 skol1 [136, 2] (w:1, o:96, a:1, s:1, b:1),
% 10.87/11.29 skol2 [137, 2] (w:1, o:103, a:1, s:1, b:1),
% 10.87/11.29 skol3 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 10.87/11.29 skol4 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 10.87/11.29 skol5 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 10.87/11.29 skol6 [141, 2] (w:1, o:116, a:1, s:1, b:1),
% 10.87/11.29 skol7 [142, 2] (w:1, o:117, a:1, s:1, b:1),
% 10.87/11.29 skol8 [143, 2] (w:1, o:118, a:1, s:1, b:1),
% 10.87/11.29 skol9 [144, 2] (w:1, o:119, a:1, s:1, b:1),
% 10.87/11.29 skol10 [145, 2] (w:1, o:97, a:1, s:1, b:1),
% 10.87/11.29 skol11 [146, 2] (w:1, o:98, a:1, s:1, b:1),
% 10.87/11.29 skol12 [147, 2] (w:1, o:99, a:1, s:1, b:1),
% 10.87/11.29 skol13 [148, 4] (w:1, o:165, a:1, s:1, b:1),
% 10.87/11.29 skol14 [149, 3] (w:1, o:148, a:1, s:1, b:1),
% 10.87/11.29 skol15 [150, 0] (w:1, o:32, a:1, s:1, b:1),
% 10.87/11.29 skol16 [151, 0] (w:1, o:33, a:1, s:1, b:1),
% 10.87/11.29 skol17 [152, 2] (w:1, o:100, a:1, s:1, b:1),
% 10.87/11.29 skol18 [153, 2] (w:1, o:101, a:1, s:1, b:1),
% 10.87/11.29 skol19 [154, 2] (w:1, o:102, a:1, s:1, b:1),
% 10.87/11.29 skol20 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 10.87/11.29 skol21 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 10.87/11.29 skol22 [157, 2] (w:1, o:106, a:1, s:1, b:1),
% 10.87/11.29 skol23 [158, 2] (w:1, o:107, a:1, s:1, b:1),
% 10.87/11.29 skol24 [159, 2] (w:1, o:108, a:1, s:1, b:1),
% 10.87/11.29 skol25 [160, 2] (w:1, o:109, a:1, s:1, b:1),
% 10.87/11.29 skol26 [161, 2] (w:1, o:110, a:1, s:1, b:1),
% 10.87/11.29 skol27 [162, 2] (w:1, o:111, a:1, s:1, b:1),
% 10.87/11.29 skol28 [163, 2] (w:1, o:112, a:1, s:1, b:1),
% 10.87/11.29 skol29 [164, 4] (w:1, o:166, a:1, s:1, b:1),
% 10.87/11.29 skol30 [165, 0] (w:1, o:34, a:1, s:1, b:1),
% 10.87/11.29 skol31 [166, 0] (w:1, o:35, a:1, s:1, b:1),
% 10.87/11.29 skol32 [167, 1] (w:1, o:64, a:1, s:1, b:1).
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 Starting Search:
% 10.87/11.29
% 10.87/11.29 *** allocated 15000 integers for clauses
% 10.87/11.29 *** allocated 22500 integers for clauses
% 10.87/11.29 *** allocated 33750 integers for clauses
% 10.87/11.29 *** allocated 22500 integers for termspace/termends
% 10.87/11.29 *** allocated 50625 integers for clauses
% 10.87/11.29 *** allocated 75937 integers for clauses
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 33750 integers for termspace/termends
% 10.87/11.29 *** allocated 113905 integers for clauses
% 10.87/11.29 *** allocated 50625 integers for termspace/termends
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 7915
% 10.87/11.29 Kept: 2018
% 10.87/11.29 Inuse: 171
% 10.87/11.29 Deleted: 0
% 10.87/11.29 Deletedinuse: 0
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 170857 integers for clauses
% 10.87/11.29 *** allocated 75937 integers for termspace/termends
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 113905 integers for termspace/termends
% 10.87/11.29 *** allocated 256285 integers for clauses
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 16059
% 10.87/11.29 Kept: 4031
% 10.87/11.29 Inuse: 326
% 10.87/11.29 Deleted: 0
% 10.87/11.29 Deletedinuse: 0
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 170857 integers for termspace/termends
% 10.87/11.29 *** allocated 384427 integers for clauses
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 23287
% 10.87/11.29 Kept: 6072
% 10.87/11.29 Inuse: 456
% 10.87/11.29 Deleted: 0
% 10.87/11.29 Deletedinuse: 0
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 256285 integers for termspace/termends
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 31476
% 10.87/11.29 Kept: 8122
% 10.87/11.29 Inuse: 551
% 10.87/11.29 Deleted: 0
% 10.87/11.29 Deletedinuse: 0
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 576640 integers for clauses
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 36172
% 10.87/11.29 Kept: 10141
% 10.87/11.29 Inuse: 691
% 10.87/11.29 Deleted: 0
% 10.87/11.29 Deletedinuse: 0
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 384427 integers for termspace/termends
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 44320
% 10.87/11.29 Kept: 12157
% 10.87/11.29 Inuse: 795
% 10.87/11.29 Deleted: 13
% 10.87/11.29 Deletedinuse: 12
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 864960 integers for clauses
% 10.87/11.29 *** allocated 576640 integers for termspace/termends
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 78184
% 10.87/11.29 Kept: 14567
% 10.87/11.29 Inuse: 870
% 10.87/11.29 Deleted: 18
% 10.87/11.29 Deletedinuse: 12
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 137518
% 10.87/11.29 Kept: 16737
% 10.87/11.29 Inuse: 885
% 10.87/11.29 Deleted: 50
% 10.87/11.29 Deletedinuse: 44
% 10.87/11.29
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29 *** allocated 864960 integers for termspace/termends
% 10.87/11.29 Resimplifying inuse:
% 10.87/11.29 Done
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 Intermediate Status:
% 10.87/11.29 Generated: 173398
% 10.87/11.29 Kept: 18742
% 10.87/11.29 Inuse: 920
% 10.87/11.29 Deleted: 50
% 10.87/11.29 Deletedinuse: 44
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 Bliksems!, er is een bewijs:
% 10.87/11.29 % SZS status Theorem
% 10.87/11.29 % SZS output start Refutation
% 10.87/11.29
% 10.87/11.29 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 10.87/11.29 (5) {G0,W6,D2,L2,V2,M2} I { ! lt( X, Y ), gt( Y, X ) }.
% 10.87/11.29 (6) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), lt( X, Y ) }.
% 10.87/11.29 (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 10.87/11.29 (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 10.87/11.29 (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.87/11.29 (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.87/11.29 (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 10.87/11.29 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 10.87/11.29 (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 ) ) }.
% 10.87/11.29 (173) {G1,W17,D4,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), ! leq( X, pred
% 10.87/11.29 ( pv10 ) ), sum( n0, pred( n5 ), a_select3( q, X, Y ) ) ==> n1 }.
% 10.87/11.29 (174) {G0,W4,D2,L2,V0,M2} I { alpha10, leq( n0, skol15 ) }.
% 10.87/11.29 (175) {G1,W5,D3,L2,V0,M2} I;d(146) { alpha10, leq( skol15, pred( pv10 ) )
% 10.87/11.29 }.
% 10.87/11.29 (176) {G1,W11,D4,L2,V0,M2} I;d(146) { alpha10, ! sum( n0, pred( n5 ),
% 10.87/11.29 a_select3( q, skol15, skol30 ) ) ==> n1 }.
% 10.87/11.29 (177) {G0,W3,D1,L3,V0,M3} I { ! alpha10, alpha23, alpha31 }.
% 10.87/11.29 (180) {G0,W4,D2,L2,V0,M2} I { ! alpha31, leq( n0, skol16 ) }.
% 10.87/11.29 (181) {G1,W5,D3,L2,V0,M2} I;d(146) { ! alpha31, leq( skol16, pred( n0 ) )
% 10.87/11.29 }.
% 10.87/11.29 (184) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha23, ! leq( pv10, pred(
% 10.87/11.29 n135300 ) ) }.
% 10.87/11.29 (215) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 10.87/11.29 (463) {G1,W3,D2,L1,V1,M1} R(5,2) { ! lt( X, X ) }.
% 10.87/11.29 (10212) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==> tptp_minus_1 }.
% 10.87/11.29 (13274) {G2,W11,D4,L2,V1,M2} R(173,174);r(175) { sum( n0, pred( n5 ),
% 10.87/11.29 a_select3( q, skol15, X ) ) ==> n1, alpha10 }.
% 10.87/11.29 (13340) {G3,W1,D1,L1,V0,M1} S(176);d(13274);q { alpha10 }.
% 10.87/11.29 (13341) {G4,W2,D1,L2,V0,M2} R(13340,177) { alpha23, alpha31 }.
% 10.87/11.29 (13357) {G2,W4,D2,L2,V0,M2} S(181);d(10212) { ! alpha31, leq( skol16,
% 10.87/11.29 tptp_minus_1 ) }.
% 10.87/11.29 (13381) {G2,W1,D1,L1,V0,M1} S(184);r(172) { ! alpha23 }.
% 10.87/11.29 (13382) {G5,W1,D1,L1,V0,M1} R(13381,13341) { alpha31 }.
% 10.87/11.29 (13395) {G6,W3,D2,L1,V0,M1} R(13382,180) { leq( n0, skol16 ) }.
% 10.87/11.29 (18742) {G6,W3,D2,L1,V0,M1} S(13357);r(13382) { leq( skol16, tptp_minus_1 )
% 10.87/11.29 }.
% 10.87/11.29 (18773) {G7,W3,D2,L1,V0,M1} R(18742,15);d(135) { gt( n0, skol16 ) }.
% 10.87/11.29 (18774) {G7,W3,D2,L1,V0,M1} R(18742,14);d(135) { leq( skol16, n0 ) }.
% 10.87/11.29 (18787) {G8,W3,D2,L1,V0,M1} R(18773,6) { lt( skol16, n0 ) }.
% 10.87/11.29 (18807) {G8,W3,D2,L1,V0,M1} R(18774,215);r(13395) { skol16 ==> n0 }.
% 10.87/11.29 (18812) {G9,W0,D0,L0,V0,M0} P(18807,18787);r(463) { }.
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 % SZS output end Refutation
% 10.87/11.29 found a proof!
% 10.87/11.29
% 10.87/11.29
% 10.87/11.29 Unprocessed initial clauses:
% 10.87/11.29
% 10.87/11.29 (18814) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 10.87/11.29 (18815) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 10.87/11.29 (18816) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 10.87/11.29 (18817) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 10.87/11.29 (18818) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 10.87/11.29 }.
% 10.87/11.29 (18819) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 10.87/11.29 (18820) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 10.87/11.29 (18821) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18822) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 10.87/11.29 (18823) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 10.87/11.29 (18824) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 10.87/11.29 (18825) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 10.87/11.29 (18826) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 10.87/11.29 (18827) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 10.87/11.29 (18828) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 10.87/11.29 (18829) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 10.87/11.29 (18830) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 10.87/11.29 (18831) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 10.87/11.29 , X ) }.
% 10.87/11.29 (18832) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 10.87/11.29 , X ) ) }.
% 10.87/11.29 (18833) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 10.87/11.29 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 10.87/11.29 (18834) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 10.87/11.29 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 10.87/11.29 V0 ), X, T ) = V0 }.
% 10.87/11.29 (18835) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol1( X, Y ), skol17( X, Y ) )
% 10.87/11.29 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 10.87/11.29 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 10.87/11.29 (18836) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol17( X, Y
% 10.87/11.29 ) ) = a_select3( X, skol17( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 10.87/11.29 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 10.87/11.29 = a_select3( trans( X ), T, Z ) }.
% 10.87/11.29 (18837) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 10.87/11.29 (18838) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18839) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18840) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha11( X, Y, Z ) }.
% 10.87/11.29 (18841) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18842) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18843) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18844) {G0,W31,D4,L6,V4,M6} { alpha12( Y, skol2( X, Y ), skol18( X, Y ) )
% 10.87/11.29 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 10.87/11.29 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 10.87/11.29 (18845) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol18( X, Y
% 10.87/11.29 ) ) = a_select3( X, skol18( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 10.87/11.29 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 10.87/11.29 a_select3( inv( X ), T, Z ) }.
% 10.87/11.29 (18846) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 10.87/11.29 (18847) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18848) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18849) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha12( X, Y, Z ) }.
% 10.87/11.29 (18850) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18851) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18852) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18853) {G0,W43,D4,L8,V6,M8} { alpha13( Y, skol3( X, Y ), skol19( X, Y ) )
% 10.87/11.29 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 10.87/11.29 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 10.87/11.29 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 10.87/11.29 (18854) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol19( X, Y
% 10.87/11.29 ) ) = a_select3( X, skol19( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 10.87/11.29 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 10.87/11.29 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 10.87/11.29 ( X, U, U, W ), T, Z ) }.
% 10.87/11.29 (18855) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 10.87/11.29 (18856) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18857) {G0,W7,D2,L2,V3,M2} { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18858) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha13( X, Y, Z ) }.
% 10.87/11.29 (18859) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18860) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18861) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18862) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha24( Z, skol4( Y, Z ),
% 10.87/11.29 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 10.87/11.29 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 10.87/11.29 ), U, T ) }.
% 10.87/11.29 (18863) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 10.87/11.29 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol4( Y, Z ) ), !
% 10.87/11.29 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 10.87/11.29 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 10.87/11.29 (18864) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha14( X, Y ) }.
% 10.87/11.29 (18865) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18866) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18867) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha24( X, Y, Z ) }.
% 10.87/11.29 (18868) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18869) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18870) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18871) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha25( Y, skol5( X, Y )
% 10.87/11.29 , skol21( X, Y ) ) }.
% 10.87/11.29 (18872) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 10.87/11.29 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol5( X, Y ) )
% 10.87/11.29 }.
% 10.87/11.29 (18873) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 10.87/11.29 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 10.87/11.29 (18874) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha15( X, Y ) }.
% 10.87/11.29 (18875) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18876) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18877) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha25( X, Y, Z ) }.
% 10.87/11.29 (18878) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18879) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18880) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18881) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha26( Z, skol6( Y, Z ),
% 10.87/11.29 skol22( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 10.87/11.29 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 10.87/11.29 ), U, T ) }.
% 10.87/11.29 (18882) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 10.87/11.29 ), skol22( Y, Z ) ) = a_select3( Y, skol22( Y, Z ), skol6( Y, Z ) ), !
% 10.87/11.29 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 10.87/11.29 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 10.87/11.29 (18883) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha16( X, Y ) }.
% 10.87/11.29 (18884) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18885) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18886) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha26( X, Y, Z ) }.
% 10.87/11.29 (18887) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18888) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18889) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18890) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha27( Y, skol7( X, Y )
% 10.87/11.29 , skol23( X, Y ) ) }.
% 10.87/11.29 (18891) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 10.87/11.29 , Y ), skol23( X, Y ) ) = a_select3( X, skol23( X, Y ), skol7( X, Y ) )
% 10.87/11.29 }.
% 10.87/11.29 (18892) {G0,W16,D3,L3,V4,M3} { ! alpha27( Y, Z, T ), a_select3( X, Z, T )
% 10.87/11.29 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 10.87/11.29 (18893) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), alpha17( X, Y ) }.
% 10.87/11.29 (18894) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18895) {G0,W7,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18896) {G0,W13,D2,L4,V3,M4} { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha27( X, Y, Z ) }.
% 10.87/11.29 (18897) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18898) {G0,W6,D2,L2,V2,M2} { ! alpha17( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18899) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18900) {G0,W39,D6,L6,V5,M6} { alpha18( Y, skol8( X, Y ), skol24( X, Y ) )
% 10.87/11.29 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 10.87/11.29 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 10.87/11.29 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 10.87/11.29 (18901) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol24( X, Y
% 10.87/11.29 ) ) = a_select3( X, skol24( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 10.87/11.29 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 10.87/11.29 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 10.87/11.29 ( X, trans( U ) ) ), T, Z ) }.
% 10.87/11.29 (18902) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 10.87/11.29 (18903) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18904) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18905) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha18( X, Y, Z ) }.
% 10.87/11.29 (18906) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18907) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18908) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18909) {G0,W39,D6,L6,V6,M6} { alpha19( Y, skol9( X, Y ), skol25( X, Y ) )
% 10.87/11.29 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 10.87/11.29 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 10.87/11.29 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 10.87/11.29 (18910) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol25( X, Y
% 10.87/11.29 ) ) = a_select3( X, skol25( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 10.87/11.29 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 10.87/11.29 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 10.87/11.29 ( X, trans( W ) ) ), T, Z ) }.
% 10.87/11.29 (18911) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 10.87/11.29 (18912) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18913) {G0,W7,D2,L2,V3,M2} { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18914) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha19( X, Y, Z ) }.
% 10.87/11.29 (18915) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18916) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18917) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18918) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), alpha32( T,
% 10.87/11.29 skol10( Z, T ), skol26( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 10.87/11.29 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 10.87/11.29 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 10.87/11.29 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 10.87/11.29 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 10.87/11.29 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 10.87/11.29 ) ), trans( V0 ) ) ) ), W, U ) }.
% 10.87/11.29 (18919) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha20( X, T ), ! a_select3
% 10.87/11.29 ( Z, skol10( Z, T ), skol26( Z, T ) ) = a_select3( Z, skol26( Z, T ),
% 10.87/11.29 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 10.87/11.29 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 10.87/11.29 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 10.87/11.29 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 10.87/11.29 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 10.87/11.29 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 10.87/11.29 ) ), W, U ) }.
% 10.87/11.29 (18920) {G0,W7,D2,L2,V3,M2} { ! alpha32( X, Y, Z ), alpha28( X, Y ) }.
% 10.87/11.29 (18921) {G0,W7,D2,L2,V3,M2} { ! alpha32( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18922) {G0,W7,D2,L2,V3,M2} { ! alpha32( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18923) {G0,W13,D2,L4,V3,M4} { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha32( X, Y, Z ) }.
% 10.87/11.29 (18924) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18925) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18926) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18927) {G0,W11,D3,L2,V2,M2} { ! alpha20( X, Y ), alpha33( Y, skol11( X, Y
% 10.87/11.29 ), skol27( X, Y ) ) }.
% 10.87/11.29 (18928) {G0,W20,D4,L2,V2,M2} { ! alpha20( X, Y ), ! a_select3( X, skol11(
% 10.87/11.29 X, Y ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol11( X, Y ) )
% 10.87/11.29 }.
% 10.87/11.29 (18929) {G0,W16,D3,L3,V4,M3} { ! alpha33( Y, Z, T ), a_select3( X, Z, T )
% 10.87/11.29 = a_select3( X, T, Z ), alpha20( X, Y ) }.
% 10.87/11.29 (18930) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), alpha29( X, Y ) }.
% 10.87/11.29 (18931) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18932) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18933) {G0,W13,D2,L4,V3,M4} { ! alpha29( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha33( X, Y, Z ) }.
% 10.87/11.29 (18934) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18935) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18936) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha29( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18937) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha30( Y, skol12( X, Y ),
% 10.87/11.29 skol28( X, Y ) ) }.
% 10.87/11.29 (18938) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 10.87/11.29 ), skol28( X, Y ) ) = a_select3( X, skol28( X, Y ), skol12( X, Y ) ) }.
% 10.87/11.29 (18939) {G0,W16,D3,L3,V3,M3} { ! alpha30( skol32( X ), Y, Z ), a_select3(
% 10.87/11.29 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 10.87/11.29 (18940) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha21( X, Y ) }.
% 10.87/11.29 (18941) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 10.87/11.29 (18942) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 10.87/11.29 (18943) {G0,W13,D2,L4,V3,M4} { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.87/11.29 , X ), alpha30( X, Y, Z ) }.
% 10.87/11.29 (18944) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18945) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), leq( Y, X ) }.
% 10.87/11.29 (18946) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18947) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 10.87/11.29 (18948) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 10.87/11.29 }.
% 10.87/11.29 (18949) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 10.87/11.29 (18950) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 10.87/11.29 (18951) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 10.87/11.29 (18952) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 10.87/11.29 (18953) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 10.87/11.29 (18954) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 10.87/11.29 }.
% 10.87/11.29 (18955) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 10.87/11.29 }.
% 10.87/11.29 (18956) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 10.87/11.29 ) ) ) }.
% 10.87/11.29 (18957) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 10.87/11.29 ) ) ) }.
% 10.87/11.29 (18958) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 10.87/11.29 succ( X ) ) ) ) ) }.
% 10.87/11.29 (18959) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 10.87/11.29 succ( X ) ) ) ) ) }.
% 10.87/11.29 (18960) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 10.87/11.29 (18961) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 10.87/11.29 (18962) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 10.87/11.29 (18963) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 10.87/11.29 }.
% 10.87/11.29 (18964) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 10.87/11.29 }.
% 10.87/11.29 (18965) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 10.87/11.29 (18966) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 10.87/11.29 (18967) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 10.87/11.29 ) = T }.
% 10.87/11.29 (18968) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 10.87/11.29 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 10.87/11.29 (18969) {G0,W29,D4,L6,V9,M6} { leq( skol29( V0, T, V1, V2 ), T ), ! leq(
% 10.87/11.29 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 10.87/11.29 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 10.87/11.29 (18970) {G0,W34,D4,L6,V6,M6} { alpha22( Z, skol13( Z, T, U, W ), skol29( Z
% 10.87/11.29 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 10.87/11.29 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 10.87/11.29 (18971) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 10.87/11.29 skol29( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 10.87/11.29 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 10.87/11.29 (18972) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 10.87/11.29 (18973) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 10.87/11.29 (18974) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X
% 10.87/11.29 , Y, Z ) }.
% 10.87/11.29 (18975) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 10.87/11.29 (18976) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 10.87/11.29 (18977) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 10.87/11.29 ) }.
% 10.87/11.29 (18978) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 10.87/11.29 }.
% 10.87/11.29 (18979) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 10.87/11.29 tptp_update2( Z, X, U ), Y ) = T }.
% 10.87/11.29 (18980) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 10.87/11.29 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 10.87/11.29 (18981) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 10.87/11.29 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 10.87/11.29 (18982) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 10.87/11.29 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 10.87/11.29 }.
% 10.87/11.29 (18983) {G0,W1,D1,L1,V0,M1} { true }.
% 10.87/11.29 (18984) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 10.87/11.29 (18985) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 10.87/11.29 (18986) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1 ) ) }.
% 10.87/11.29 (18987) {G0,W19,D4,L3,V2,M3} { ! leq( n0, X ), ! leq( X, minus( pv10, n1 )
% 10.87/11.29 ), sum( n0, minus( n5, n1 ), a_select3( q, X, Y ) ) = n1 }.
% 10.87/11.29 (18988) {G0,W4,D2,L2,V0,M2} { alpha10, leq( n0, skol15 ) }.
% 10.87/11.29 (18989) {G0,W6,D3,L2,V0,M2} { alpha10, leq( skol15, minus( pv10, n1 ) )
% 10.87/11.29 }.
% 10.87/11.29 (18990) {G0,W12,D4,L2,V0,M2} { alpha10, ! sum( n0, minus( n5, n1 ),
% 10.87/11.29 a_select3( q, skol15, skol30 ) ) = n1 }.
% 10.87/11.29 (18991) {G0,W3,D1,L3,V0,M3} { ! alpha10, alpha23, alpha31 }.
% 10.87/11.29 (18992) {G0,W2,D1,L2,V0,M2} { ! alpha23, alpha10 }.
% 10.87/11.29 (18993) {G0,W2,D1,L2,V0,M2} { ! alpha31, alpha10 }.
% 10.87/11.29 (18994) {G0,W4,D2,L2,V0,M2} { ! alpha31, leq( n0, skol16 ) }.
% 10.87/11.29 (18995) {G0,W6,D3,L2,V0,M2} { ! alpha31, leq( skol16, minus( n0, n1 ) )
% 10.87/11.29 }.
% 10.87/11.29 (18996) {G0,W48,D8,L2,V0,M2} { ! alpha31, ! a_select3( q, pv10, skol16 ) =
% 10.87/11.29 divide( sqrt( times( minus( a_select3( center, skol16, n0 ), a_select2(
% 10.87/11.29 x, pv10 ) ), minus( a_select3( center, skol16, n0 ), a_select2( x, pv10 )
% 10.87/11.29 ) ) ), sum( n0, minus( n5, n1 ), sqrt( times( minus( a_select3( center,
% 10.87/11.29 skol31, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, skol31,
% 10.87/11.29 n0 ), a_select2( x, pv10 ) ) ) ) ) ) }.
% 10.87/11.29 (18997) {G0,W56,D8,L4,V2,M4} { ! leq( n0, X ), ! leq( X, minus( n0, n1 ) )
% 10.87/11.29 , a_select3( q, pv10, X ) = divide( sqrt( times( minus( a_select3( center
% 10.87/11.29 , X, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ),
% 10.87/11.29 a_select2( x, pv10 ) ) ) ), sum( n0, minus( n5, n1 ), sqrt( times( minus
% 10.87/11.29 ( a_select3( center, Y, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 10.87/11.29 center, Y, n0 ), a_select2( x, pv10 ) ) ) ) ) ), alpha31 }.
% 10.87/11.29 (18998) {G0,W9,D3,L3,V0,M3} { ! alpha23, ! leq( n0, pv10 ), ! leq( pv10,
% 10.87/11.29 minus( n135300, n1 ) ) }.
% 10.87/11.29 (18999) {G0,W4,D2,L2,V0,M2} { leq( n0, pv10 ), alpha23 }.
% 10.87/11.29 (19000) {G0,W6,D3,L2,V0,M2} { leq( pv10, minus( n135300, n1 ) ), alpha23
% 10.87/11.29 }.
% 10.87/11.29 (19001) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 10.87/11.29 (19002) {G0,W3,D2,L1,V0,M1} { gt( n135300, n4 ) }.
% 10.87/11.29 (19003) {G0,W3,D2,L1,V0,M1} { gt( n135300, n5 ) }.
% 10.87/11.29 (19004) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 10.87/11.29 (19005) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 10.87/11.29 (19006) {G0,W3,D2,L1,V0,M1} { gt( n135300, tptp_minus_1 ) }.
% 10.87/11.29 (19007) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 10.87/11.29 (19008) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 10.87/11.29 (19009) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 10.87/11.29 (19010) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 10.87/11.29 (19011) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 10.87/11.29 (19012) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 10.87/11.29 (19013) {G0,W3,D2,L1,V0,M1} { gt( n135300, n0 ) }.
% 10.87/11.29 (19014) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 10.87/11.29 (19015) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 10.87/11.29 (19016) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 10.87/11.29 (19017) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 10.87/11.29 (19018) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 10.87/11.29 (19019) {G0,W3,D2,L1,V0,M1} { gt( n135300, n1 ) }.
% 10.87/11.29 (19020) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 10.87/11.29 (19021) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 10.87/11.29 (19022) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 10.87/11.29 (19023) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 10.87/11.29 (19024) {G0,W3,D2,L1,V0,M1} { gt( n135300, n2 ) }.
% 10.87/11.29 (19025) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 10.87/11.29 (19026) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 10.87/11.29 (19027) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 10.87/11.29 (19028) {G0,W3,D2,L1,V0,M1} { gt( n135300, n3 ) }.
% 10.87/11.29 (19029) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 10.87/11.29 n1, X = n2, X = n3, X = n4 }.
% 10.87/11.29 (19030) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 10.87/11.29 n1, X = n2, X = n3, X = n4, X = n5 }.
% 10.87/11.29 (19031) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 10.87/11.29 (19032) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 10.87/11.29 n1 }.
% 10.87/11.29 (19033) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 10.87/11.29 n1, X = n2 }.
% 10.87/11.29 (19034) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 10.94/11.32 n1, X = n2, X = n3 }.
% 10.94/11.32 (19035) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 10.94/11.32 (19036) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 10.94/11.32 n5 }.
% 10.94/11.32 (19037) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 10.94/11.32 (19038) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 10.94/11.32 (19039) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 10.94/11.32
% 10.94/11.32
% 10.94/11.32 Total Proof:
% 10.94/11.32
% 10.94/11.32 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 10.94/11.32 parent0: (18816) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (5) {G0,W6,D2,L2,V2,M2} I { ! lt( X, Y ), gt( Y, X ) }.
% 10.94/11.32 parent0: (18819) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 Y := Y
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 1 ==> 1
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (6) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), lt( X, Y ) }.
% 10.94/11.32 parent0: (18820) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 Y := Y
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 1 ==> 1
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y )
% 10.94/11.32 ) }.
% 10.94/11.32 parent0: (18828) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) )
% 10.94/11.32 }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 Y := Y
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 1 ==> 1
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 10.94/11.32 }.
% 10.94/11.32 parent0: (18829) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X )
% 10.94/11.32 }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 Y := Y
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 1 ==> 1
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.94/11.32 parent0: (18949) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 10.94/11.32 substitution0:
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.32 parent0: (18960) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 *** allocated 1297440 integers for clauses
% 10.94/11.32 subsumption: (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 10.94/11.32 parent0: (18961) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 10.94/11.32 parent0: (18985) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 paramod: (21454) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 10.94/11.32 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.32 parent1[0; 2]: (18986) {G0,W5,D3,L1,V0,M1} { leq( pv10, minus( n135300, n1
% 10.94/11.32 ) ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := n135300
% 10.94/11.32 end
% 10.94/11.32 substitution1:
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300
% 10.94/11.32 ) ) }.
% 10.94/11.32 parent0: (21454) {G1,W4,D3,L1,V0,M1} { leq( pv10, pred( n135300 ) ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 0
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 paramod: (22335) {G1,W18,D4,L3,V2,M3} { sum( n0, pred( n5 ), a_select3( q
% 10.94/11.32 , X, Y ) ) = n1, ! leq( n0, X ), ! leq( X, minus( pv10, n1 ) ) }.
% 10.94/11.32 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.32 parent1[2; 3]: (18987) {G0,W19,D4,L3,V2,M3} { ! leq( n0, X ), ! leq( X,
% 10.94/11.32 minus( pv10, n1 ) ), sum( n0, minus( n5, n1 ), a_select3( q, X, Y ) ) =
% 10.94/11.32 n1 }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := n5
% 10.94/11.32 end
% 10.94/11.32 substitution1:
% 10.94/11.32 X := X
% 10.94/11.32 Y := Y
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 paramod: (22337) {G1,W17,D4,L3,V2,M3} { ! leq( X, pred( pv10 ) ), sum( n0
% 10.94/11.32 , pred( n5 ), a_select3( q, X, Y ) ) = n1, ! leq( n0, X ) }.
% 10.94/11.32 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.32 parent1[2; 3]: (22335) {G1,W18,D4,L3,V2,M3} { sum( n0, pred( n5 ),
% 10.94/11.32 a_select3( q, X, Y ) ) = n1, ! leq( n0, X ), ! leq( X, minus( pv10, n1 )
% 10.94/11.32 ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := pv10
% 10.94/11.32 end
% 10.94/11.32 substitution1:
% 10.94/11.32 X := X
% 10.94/11.32 Y := Y
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (173) {G1,W17,D4,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), !
% 10.94/11.32 leq( X, pred( pv10 ) ), sum( n0, pred( n5 ), a_select3( q, X, Y ) ) ==>
% 10.94/11.32 n1 }.
% 10.94/11.32 parent0: (22337) {G1,W17,D4,L3,V2,M3} { ! leq( X, pred( pv10 ) ), sum( n0
% 10.94/11.32 , pred( n5 ), a_select3( q, X, Y ) ) = n1, ! leq( n0, X ) }.
% 10.94/11.32 substitution0:
% 10.94/11.32 X := X
% 10.94/11.32 Y := Y
% 10.94/11.32 end
% 10.94/11.32 permutation0:
% 10.94/11.32 0 ==> 1
% 10.94/11.32 1 ==> 2
% 10.94/11.32 2 ==> 0
% 10.94/11.32 end
% 10.94/11.32
% 10.94/11.32 subsumption: (174) {G0,W4,D2,L2,V0,M2} I { alpha10, leq( n0, skol15 ) }.
% 10.94/11.35 parent0: (18988) {G0,W4,D2,L2,V0,M2} { alpha10, leq( n0, skol15 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 1 ==> 1
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (23586) {G1,W5,D3,L2,V0,M2} { leq( skol15, pred( pv10 ) ),
% 10.94/11.35 alpha10 }.
% 10.94/11.35 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.35 parent1[1; 2]: (18989) {G0,W6,D3,L2,V0,M2} { alpha10, leq( skol15, minus(
% 10.94/11.35 pv10, n1 ) ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := pv10
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (175) {G1,W5,D3,L2,V0,M2} I;d(146) { alpha10, leq( skol15,
% 10.94/11.35 pred( pv10 ) ) }.
% 10.94/11.35 parent0: (23586) {G1,W5,D3,L2,V0,M2} { leq( skol15, pred( pv10 ) ),
% 10.94/11.35 alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 1
% 10.94/11.35 1 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (24309) {G1,W11,D4,L2,V0,M2} { ! sum( n0, pred( n5 ), a_select3(
% 10.94/11.35 q, skol15, skol30 ) ) = n1, alpha10 }.
% 10.94/11.35 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.35 parent1[1; 4]: (18990) {G0,W12,D4,L2,V0,M2} { alpha10, ! sum( n0, minus(
% 10.94/11.35 n5, n1 ), a_select3( q, skol15, skol30 ) ) = n1 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := n5
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (176) {G1,W11,D4,L2,V0,M2} I;d(146) { alpha10, ! sum( n0, pred
% 10.94/11.35 ( n5 ), a_select3( q, skol15, skol30 ) ) ==> n1 }.
% 10.94/11.35 parent0: (24309) {G1,W11,D4,L2,V0,M2} { ! sum( n0, pred( n5 ), a_select3(
% 10.94/11.35 q, skol15, skol30 ) ) = n1, alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 1
% 10.94/11.35 1 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (177) {G0,W3,D1,L3,V0,M3} I { ! alpha10, alpha23, alpha31 }.
% 10.94/11.35 parent0: (18991) {G0,W3,D1,L3,V0,M3} { ! alpha10, alpha23, alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 1 ==> 1
% 10.94/11.35 2 ==> 2
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (180) {G0,W4,D2,L2,V0,M2} I { ! alpha31, leq( n0, skol16 ) }.
% 10.94/11.35 parent0: (18994) {G0,W4,D2,L2,V0,M2} { ! alpha31, leq( n0, skol16 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 1 ==> 1
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (26100) {G1,W5,D3,L2,V0,M2} { leq( skol16, pred( n0 ) ), !
% 10.94/11.35 alpha31 }.
% 10.94/11.35 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.35 parent1[1; 2]: (18995) {G0,W6,D3,L2,V0,M2} { ! alpha31, leq( skol16, minus
% 10.94/11.35 ( n0, n1 ) ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := n0
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (181) {G1,W5,D3,L2,V0,M2} I;d(146) { ! alpha31, leq( skol16,
% 10.94/11.35 pred( n0 ) ) }.
% 10.94/11.35 parent0: (26100) {G1,W5,D3,L2,V0,M2} { leq( skol16, pred( n0 ) ), !
% 10.94/11.35 alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 1
% 10.94/11.35 1 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (26838) {G1,W8,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) ), !
% 10.94/11.35 alpha23, ! leq( n0, pv10 ) }.
% 10.94/11.35 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.94/11.35 parent1[2; 3]: (18998) {G0,W9,D3,L3,V0,M3} { ! alpha23, ! leq( n0, pv10 )
% 10.94/11.35 , ! leq( pv10, minus( n135300, n1 ) ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := n135300
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (26839) {G1,W5,D3,L2,V0,M2} { ! leq( pv10, pred( n135300 ) ),
% 10.94/11.35 ! alpha23 }.
% 10.94/11.35 parent0[2]: (26838) {G1,W8,D3,L3,V0,M3} { ! leq( pv10, pred( n135300 ) ),
% 10.94/11.35 ! alpha23, ! leq( n0, pv10 ) }.
% 10.94/11.35 parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv10 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (184) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha23, ! leq(
% 10.94/11.35 pv10, pred( n135300 ) ) }.
% 10.94/11.35 parent0: (26839) {G1,W5,D3,L2,V0,M2} { ! leq( pv10, pred( n135300 ) ), !
% 10.94/11.35 alpha23 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 1
% 10.94/11.35 1 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 *** allocated 1297440 integers for termspace/termends
% 10.94/11.35 subsumption: (215) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ),
% 10.94/11.35 X = n0 }.
% 10.94/11.35 parent0: (19031) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X =
% 10.94/11.35 n0 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 1 ==> 1
% 10.94/11.35 2 ==> 2
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27467) {G1,W3,D2,L1,V1,M1} { ! lt( X, X ) }.
% 10.94/11.35 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 10.94/11.35 parent1[1]: (5) {G0,W6,D2,L2,V2,M2} I { ! lt( X, Y ), gt( Y, X ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 X := X
% 10.94/11.35 Y := X
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (463) {G1,W3,D2,L1,V1,M1} R(5,2) { ! lt( X, X ) }.
% 10.94/11.35 parent0: (27467) {G1,W3,D2,L1,V1,M1} { ! lt( X, X ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 eqswap: (27469) {G0,W5,D4,L1,V1,M1} { X ==> pred( succ( X ) ) }.
% 10.94/11.35 parent0[0]: (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (27470) {G1,W4,D3,L1,V0,M1} { tptp_minus_1 ==> pred( n0 ) }.
% 10.94/11.35 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.94/11.35 parent1[0; 3]: (27469) {G0,W5,D4,L1,V1,M1} { X ==> pred( succ( X ) ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 X := tptp_minus_1
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 eqswap: (27471) {G1,W4,D3,L1,V0,M1} { pred( n0 ) ==> tptp_minus_1 }.
% 10.94/11.35 parent0[0]: (27470) {G1,W4,D3,L1,V0,M1} { tptp_minus_1 ==> pred( n0 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (10212) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==>
% 10.94/11.35 tptp_minus_1 }.
% 10.94/11.35 parent0: (27471) {G1,W4,D3,L1,V0,M1} { pred( n0 ) ==> tptp_minus_1 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 eqswap: (27472) {G1,W17,D4,L3,V2,M3} { n1 ==> sum( n0, pred( n5 ),
% 10.94/11.35 a_select3( q, X, Y ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 10.94/11.35 parent0[2]: (173) {G1,W17,D4,L3,V2,M3} I;d(146);d(146) { ! leq( n0, X ), !
% 10.94/11.35 leq( X, pred( pv10 ) ), sum( n0, pred( n5 ), a_select3( q, X, Y ) ) ==>
% 10.94/11.35 n1 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 Y := Y
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27473) {G1,W15,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 10.94/11.35 a_select3( q, skol15, X ) ), ! leq( skol15, pred( pv10 ) ), alpha10 }.
% 10.94/11.35 parent0[1]: (27472) {G1,W17,D4,L3,V2,M3} { n1 ==> sum( n0, pred( n5 ),
% 10.94/11.35 a_select3( q, X, Y ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 10.94/11.35 parent1[1]: (174) {G0,W4,D2,L2,V0,M2} I { alpha10, leq( n0, skol15 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := skol15
% 10.94/11.35 Y := X
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27474) {G2,W12,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 10.94/11.35 a_select3( q, skol15, X ) ), alpha10, alpha10 }.
% 10.94/11.35 parent0[1]: (27473) {G1,W15,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 10.94/11.35 a_select3( q, skol15, X ) ), ! leq( skol15, pred( pv10 ) ), alpha10 }.
% 10.94/11.35 parent1[1]: (175) {G1,W5,D3,L2,V0,M2} I;d(146) { alpha10, leq( skol15, pred
% 10.94/11.35 ( pv10 ) ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 eqswap: (27475) {G2,W12,D4,L3,V1,M3} { sum( n0, pred( n5 ), a_select3( q,
% 10.94/11.35 skol15, X ) ) ==> n1, alpha10, alpha10 }.
% 10.94/11.35 parent0[0]: (27474) {G2,W12,D4,L3,V1,M3} { n1 ==> sum( n0, pred( n5 ),
% 10.94/11.35 a_select3( q, skol15, X ) ), alpha10, alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 factor: (27476) {G2,W11,D4,L2,V1,M2} { sum( n0, pred( n5 ), a_select3( q,
% 10.94/11.35 skol15, X ) ) ==> n1, alpha10 }.
% 10.94/11.35 parent0[1, 2]: (27475) {G2,W12,D4,L3,V1,M3} { sum( n0, pred( n5 ),
% 10.94/11.35 a_select3( q, skol15, X ) ) ==> n1, alpha10, alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (13274) {G2,W11,D4,L2,V1,M2} R(173,174);r(175) { sum( n0, pred
% 10.94/11.35 ( n5 ), a_select3( q, skol15, X ) ) ==> n1, alpha10 }.
% 10.94/11.35 parent0: (27476) {G2,W11,D4,L2,V1,M2} { sum( n0, pred( n5 ), a_select3( q
% 10.94/11.35 , skol15, X ) ) ==> n1, alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 1 ==> 1
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (27480) {G2,W5,D2,L3,V0,M3} { ! n1 ==> n1, alpha10, alpha10 }.
% 10.94/11.35 parent0[0]: (13274) {G2,W11,D4,L2,V1,M2} R(173,174);r(175) { sum( n0, pred
% 10.94/11.35 ( n5 ), a_select3( q, skol15, X ) ) ==> n1, alpha10 }.
% 10.94/11.35 parent1[1; 2]: (176) {G1,W11,D4,L2,V0,M2} I;d(146) { alpha10, ! sum( n0,
% 10.94/11.35 pred( n5 ), a_select3( q, skol15, skol30 ) ) ==> n1 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := skol30
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 factor: (27481) {G2,W4,D2,L2,V0,M2} { ! n1 ==> n1, alpha10 }.
% 10.94/11.35 parent0[1, 2]: (27480) {G2,W5,D2,L3,V0,M3} { ! n1 ==> n1, alpha10, alpha10
% 10.94/11.35 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 eqrefl: (27482) {G0,W1,D1,L1,V0,M1} { alpha10 }.
% 10.94/11.35 parent0[0]: (27481) {G2,W4,D2,L2,V0,M2} { ! n1 ==> n1, alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (13340) {G3,W1,D1,L1,V0,M1} S(176);d(13274);q { alpha10 }.
% 10.94/11.35 parent0: (27482) {G0,W1,D1,L1,V0,M1} { alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27483) {G1,W2,D1,L2,V0,M2} { alpha23, alpha31 }.
% 10.94/11.35 parent0[0]: (177) {G0,W3,D1,L3,V0,M3} I { ! alpha10, alpha23, alpha31 }.
% 10.94/11.35 parent1[0]: (13340) {G3,W1,D1,L1,V0,M1} S(176);d(13274);q { alpha10 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (13341) {G4,W2,D1,L2,V0,M2} R(13340,177) { alpha23, alpha31
% 10.94/11.35 }.
% 10.94/11.35 parent0: (27483) {G1,W2,D1,L2,V0,M2} { alpha23, alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 1 ==> 1
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (27485) {G2,W4,D2,L2,V0,M2} { leq( skol16, tptp_minus_1 ), !
% 10.94/11.35 alpha31 }.
% 10.94/11.35 parent0[0]: (10212) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==>
% 10.94/11.35 tptp_minus_1 }.
% 10.94/11.35 parent1[1; 2]: (181) {G1,W5,D3,L2,V0,M2} I;d(146) { ! alpha31, leq( skol16
% 10.94/11.35 , pred( n0 ) ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (13357) {G2,W4,D2,L2,V0,M2} S(181);d(10212) { ! alpha31, leq(
% 10.94/11.35 skol16, tptp_minus_1 ) }.
% 10.94/11.35 parent0: (27485) {G2,W4,D2,L2,V0,M2} { leq( skol16, tptp_minus_1 ), !
% 10.94/11.35 alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 1
% 10.94/11.35 1 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27486) {G2,W1,D1,L1,V0,M1} { ! alpha23 }.
% 10.94/11.35 parent0[1]: (184) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha23, ! leq(
% 10.94/11.35 pv10, pred( n135300 ) ) }.
% 10.94/11.35 parent1[0]: (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv10, pred( n135300 )
% 10.94/11.35 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (13381) {G2,W1,D1,L1,V0,M1} S(184);r(172) { ! alpha23 }.
% 10.94/11.35 parent0: (27486) {G2,W1,D1,L1,V0,M1} { ! alpha23 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27487) {G3,W1,D1,L1,V0,M1} { alpha31 }.
% 10.94/11.35 parent0[0]: (13381) {G2,W1,D1,L1,V0,M1} S(184);r(172) { ! alpha23 }.
% 10.94/11.35 parent1[0]: (13341) {G4,W2,D1,L2,V0,M2} R(13340,177) { alpha23, alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (13382) {G5,W1,D1,L1,V0,M1} R(13381,13341) { alpha31 }.
% 10.94/11.35 parent0: (27487) {G3,W1,D1,L1,V0,M1} { alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27488) {G1,W3,D2,L1,V0,M1} { leq( n0, skol16 ) }.
% 10.94/11.35 parent0[0]: (180) {G0,W4,D2,L2,V0,M2} I { ! alpha31, leq( n0, skol16 ) }.
% 10.94/11.35 parent1[0]: (13382) {G5,W1,D1,L1,V0,M1} R(13381,13341) { alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (13395) {G6,W3,D2,L1,V0,M1} R(13382,180) { leq( n0, skol16 )
% 10.94/11.35 }.
% 10.94/11.35 parent0: (27488) {G1,W3,D2,L1,V0,M1} { leq( n0, skol16 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27489) {G3,W3,D2,L1,V0,M1} { leq( skol16, tptp_minus_1 ) }.
% 10.94/11.35 parent0[0]: (13357) {G2,W4,D2,L2,V0,M2} S(181);d(10212) { ! alpha31, leq(
% 10.94/11.35 skol16, tptp_minus_1 ) }.
% 10.94/11.35 parent1[0]: (13382) {G5,W1,D1,L1,V0,M1} R(13381,13341) { alpha31 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (18742) {G6,W3,D2,L1,V0,M1} S(13357);r(13382) { leq( skol16,
% 10.94/11.35 tptp_minus_1 ) }.
% 10.94/11.35 parent0: (27489) {G3,W3,D2,L1,V0,M1} { leq( skol16, tptp_minus_1 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27491) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ), skol16
% 10.94/11.35 ) }.
% 10.94/11.35 parent0[0]: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 10.94/11.35 }.
% 10.94/11.35 parent1[0]: (18742) {G6,W3,D2,L1,V0,M1} S(13357);r(13382) { leq( skol16,
% 10.94/11.35 tptp_minus_1 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := skol16
% 10.94/11.35 Y := tptp_minus_1
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (27492) {G1,W3,D2,L1,V0,M1} { gt( n0, skol16 ) }.
% 10.94/11.35 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.94/11.35 parent1[0; 1]: (27491) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ),
% 10.94/11.35 skol16 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (18773) {G7,W3,D2,L1,V0,M1} R(18742,15);d(135) { gt( n0,
% 10.94/11.35 skol16 ) }.
% 10.94/11.35 parent0: (27492) {G1,W3,D2,L1,V0,M1} { gt( n0, skol16 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27494) {G1,W4,D3,L1,V0,M1} { leq( skol16, succ( tptp_minus_1
% 10.94/11.35 ) ) }.
% 10.94/11.35 parent0[0]: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) )
% 10.94/11.35 }.
% 10.94/11.35 parent1[0]: (18742) {G6,W3,D2,L1,V0,M1} S(13357);r(13382) { leq( skol16,
% 10.94/11.35 tptp_minus_1 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := skol16
% 10.94/11.35 Y := tptp_minus_1
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (27495) {G1,W3,D2,L1,V0,M1} { leq( skol16, n0 ) }.
% 10.94/11.35 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.94/11.35 parent1[0; 2]: (27494) {G1,W4,D3,L1,V0,M1} { leq( skol16, succ(
% 10.94/11.35 tptp_minus_1 ) ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (18774) {G7,W3,D2,L1,V0,M1} R(18742,14);d(135) { leq( skol16,
% 10.94/11.35 n0 ) }.
% 10.94/11.35 parent0: (27495) {G1,W3,D2,L1,V0,M1} { leq( skol16, n0 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27496) {G1,W3,D2,L1,V0,M1} { lt( skol16, n0 ) }.
% 10.94/11.35 parent0[0]: (6) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), lt( X, Y ) }.
% 10.94/11.35 parent1[0]: (18773) {G7,W3,D2,L1,V0,M1} R(18742,15);d(135) { gt( n0, skol16
% 10.94/11.35 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := skol16
% 10.94/11.35 Y := n0
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (18787) {G8,W3,D2,L1,V0,M1} R(18773,6) { lt( skol16, n0 ) }.
% 10.94/11.35 parent0: (27496) {G1,W3,D2,L1,V0,M1} { lt( skol16, n0 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 eqswap: (27497) {G0,W9,D2,L3,V1,M3} { n0 = X, ! leq( n0, X ), ! leq( X, n0
% 10.94/11.35 ) }.
% 10.94/11.35 parent0[2]: (215) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), X
% 10.94/11.35 = n0 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := X
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27498) {G1,W6,D2,L2,V0,M2} { n0 = skol16, ! leq( n0, skol16 )
% 10.94/11.35 }.
% 10.94/11.35 parent0[2]: (27497) {G0,W9,D2,L3,V1,M3} { n0 = X, ! leq( n0, X ), ! leq( X
% 10.94/11.35 , n0 ) }.
% 10.94/11.35 parent1[0]: (18774) {G7,W3,D2,L1,V0,M1} R(18742,14);d(135) { leq( skol16,
% 10.94/11.35 n0 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := skol16
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27499) {G2,W3,D2,L1,V0,M1} { n0 = skol16 }.
% 10.94/11.35 parent0[1]: (27498) {G1,W6,D2,L2,V0,M2} { n0 = skol16, ! leq( n0, skol16 )
% 10.94/11.35 }.
% 10.94/11.35 parent1[0]: (13395) {G6,W3,D2,L1,V0,M1} R(13382,180) { leq( n0, skol16 )
% 10.94/11.35 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 eqswap: (27500) {G2,W3,D2,L1,V0,M1} { skol16 = n0 }.
% 10.94/11.35 parent0[0]: (27499) {G2,W3,D2,L1,V0,M1} { n0 = skol16 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (18807) {G8,W3,D2,L1,V0,M1} R(18774,215);r(13395) { skol16 ==>
% 10.94/11.35 n0 }.
% 10.94/11.35 parent0: (27500) {G2,W3,D2,L1,V0,M1} { skol16 = n0 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 0 ==> 0
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 paramod: (27502) {G9,W3,D2,L1,V0,M1} { lt( n0, n0 ) }.
% 10.94/11.35 parent0[0]: (18807) {G8,W3,D2,L1,V0,M1} R(18774,215);r(13395) { skol16 ==>
% 10.94/11.35 n0 }.
% 10.94/11.35 parent1[0; 1]: (18787) {G8,W3,D2,L1,V0,M1} R(18773,6) { lt( skol16, n0 )
% 10.94/11.35 }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 resolution: (27503) {G2,W0,D0,L0,V0,M0} { }.
% 10.94/11.35 parent0[0]: (463) {G1,W3,D2,L1,V1,M1} R(5,2) { ! lt( X, X ) }.
% 10.94/11.35 parent1[0]: (27502) {G9,W3,D2,L1,V0,M1} { lt( n0, n0 ) }.
% 10.94/11.35 substitution0:
% 10.94/11.35 X := n0
% 10.94/11.35 end
% 10.94/11.35 substitution1:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 subsumption: (18812) {G9,W0,D0,L0,V0,M0} P(18807,18787);r(463) { }.
% 10.94/11.35 parent0: (27503) {G2,W0,D0,L0,V0,M0} { }.
% 10.94/11.35 substitution0:
% 10.94/11.35 end
% 10.94/11.35 permutation0:
% 10.94/11.35 end
% 10.94/11.35
% 10.94/11.35 Proof check complete!
% 10.94/11.35
% 10.94/11.35 Memory use:
% 10.94/11.35
% 10.94/11.35 space for terms: 612420
% 10.94/11.35 space for clauses: 831959
% 10.94/11.35
% 10.94/11.35
% 10.94/11.35 clauses generated: 182972
% 10.94/11.35 clauses kept: 18813
% 10.94/11.35 clauses selected: 1085
% 10.94/11.35 clauses deleted: 67
% 10.94/11.35 clauses inuse deleted: 44
% 10.94/11.35
% 10.94/11.35 subsentry: 395614
% 10.94/11.35 literals s-matched: 137134
% 10.94/11.35 literals matched: 113196
% 10.94/11.35 full subsumption: 79167
% 10.94/11.35
% 10.94/11.35 checksum: 1240431
% 10.94/11.35
% 10.94/11.35
% 10.94/11.35 Bliksem ended
%------------------------------------------------------------------------------