TSTP Solution File: SWV156+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV156+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 16:22:44 EDT 2022
% Result : Theorem 1.68s 2.07s
% Output : Refutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV156+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % DateTime : Wed Jun 15 06:57:28 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.65/1.04 *** allocated 10000 integers for termspace/termends
% 0.65/1.04 *** allocated 10000 integers for clauses
% 0.65/1.04 *** allocated 10000 integers for justifications
% 0.65/1.04 Bliksem 1.12
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Automatic Strategy Selection
% 0.65/1.04
% 0.65/1.04 *** allocated 15000 integers for termspace/termends
% 0.65/1.04
% 0.65/1.04 Clauses:
% 0.65/1.04
% 0.65/1.04 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.65/1.04 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.65/1.04 { ! gt( X, X ) }.
% 0.65/1.04 { leq( X, X ) }.
% 0.65/1.04 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.65/1.04 { ! lt( X, Y ), gt( Y, X ) }.
% 0.65/1.04 { ! gt( Y, X ), lt( X, Y ) }.
% 0.65/1.04 { ! geq( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( Y, X ), geq( X, Y ) }.
% 0.65/1.04 { ! gt( Y, X ), leq( X, Y ) }.
% 0.65/1.04 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.65/1.04 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.65/1.04 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.65/1.04 { gt( succ( X ), X ) }.
% 0.65/1.04 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.65/1.04 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.65/1.04 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.65/1.04 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.65/1.04 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.65/1.04 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.65/1.04 T ), X ) = T }.
% 0.65/1.04 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.65/1.04 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.65/1.04 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.04 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.65/1.04 a_select3( trans( X ), T, Z ) }.
% 0.65/1.04 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.65/1.04 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.04 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.65/1.04 ) }.
% 0.65/1.04 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.65/1.04 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.65/1.04 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.65/1.04 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.04 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.65/1.04 a_select3( inv( X ), T, Z ) }.
% 0.65/1.04 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.65/1.04 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.04 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.65/1.04 .
% 0.65/1.04 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.65/1.04 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.65/1.04 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.65/1.04 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.04 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.65/1.04 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.65/1.04 X, U, U, W ), T, Z ) }.
% 0.65/1.04 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.65/1.04 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.04 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.65/1.04 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.65/1.04 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.65/1.04 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.65/1.04 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.65/1.04 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.65/1.04 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.65/1.04 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.65/1.04 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.65/1.04 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.65/1.04 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.65/1.04 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.65/1.04 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.65/1.04 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.65/1.04 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.65/1.04 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.65/1.04 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.65/1.04 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.65/1.04 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.65/1.04 ( X, Y ) }.
% 0.65/1.04 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.65/1.04 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.65/1.04 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.65/1.04 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.65/1.04 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.65/1.04 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.65/1.04 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.65/1.04 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.65/1.04 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.65/1.04 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.65/1.04 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.65/1.04 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.65/1.04 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.65/1.04 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.65/1.04 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.65/1.04 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.65/1.04 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.65/1.04 ( X, Y ) }.
% 0.65/1.04 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.65/1.04 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.65/1.04 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.65/1.04 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.65/1.04 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.65/1.04 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.65/1.04 U ) ) ), T, Z ) }.
% 0.65/1.04 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.65/1.04 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.65/1.04 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.65/1.04 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.65/1.04 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.65/1.04 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.65/1.04 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.65/1.04 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.65/1.04 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.65/1.04 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.65/1.04 W ) ) ), T, Z ) }.
% 0.65/1.04 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.65/1.04 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.65/1.04 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.65/1.04 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.65/1.04 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.65/1.04 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.65/1.04 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.65/1.04 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.65/1.04 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.65/1.04 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.65/1.04 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.65/1.04 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.65/1.04 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.65/1.04 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.65/1.04 ) }.
% 0.65/1.04 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.65/1.04 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.65/1.04 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.65/1.04 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.65/1.04 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.65/1.04 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.65/1.04 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.65/1.04 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.65/1.04 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.65/1.04 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.65/1.04 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.65/1.04 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.65/1.04 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.65/1.04 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.65/1.04 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.65/1.04 alpha19( X, Y ) }.
% 0.65/1.04 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.65/1.04 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.65/1.04 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.65/1.04 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.65/1.04 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.65/1.04 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.65/1.04 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.65/1.04 ), alpha8( X ) }.
% 0.65/1.04 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.65/1.04 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.65/1.04 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.65/1.04 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.65/1.04 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.65/1.04 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.65/1.04 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.65/1.04 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.65/1.04 { succ( tptp_minus_1 ) = n0 }.
% 0.65/1.04 { plus( X, n1 ) = succ( X ) }.
% 0.65/1.04 { plus( n1, X ) = succ( X ) }.
% 0.65/1.04 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.65/1.04 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.65/1.04 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.65/1.04 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.65/1.04 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.65/1.04 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.65/1.04 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.65/1.04 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.65/1.04 { minus( X, n1 ) = pred( X ) }.
% 0.65/1.04 { pred( succ( X ) ) = X }.
% 0.65/1.04 { succ( pred( X ) ) = X }.
% 0.65/1.04 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.65/1.04 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.65/1.04 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.65/1.04 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.65/1.04 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.65/1.04 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.65/1.04 , Y, V0 ), Z, T ) = W }.
% 0.65/1.04 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.65/1.04 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.65/1.04 }.
% 0.65/1.04 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.65/1.04 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.65/1.04 U, Z, T, W ), X, Y ) = W }.
% 0.65/1.04 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.65/1.04 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.65/1.04 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.65/1.04 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.65/1.04 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.65/1.04 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.65/1.04 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.65/1.04 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.65/1.04 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.65/1.04 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.65/1.04 T }.
% 0.65/1.04 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.65/1.04 tptp_update2( Z, Y, T ), X ) = T }.
% 0.65/1.04 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.65/1.04 tptp_update2( Z, Y, T ), X ) = T }.
% 0.65/1.04 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.65/1.04 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.65/1.04 { true }.
% 0.65/1.04 { ! def = use }.
% 0.65/1.04 { pv70 = sum( n0, n4, sqrt( times( minus( a_select3( center, tptp_sum_index
% 0.65/1.04 , n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, tptp_sum_index
% 0.65/1.04 , n0 ), a_select2( x, pv10 ) ) ) ) ) }.
% 0.65/1.04 { leq( n0, pv10 ) }.
% 0.65/1.04 { leq( n0, pv12 ) }.
% 0.65/1.04 { leq( pv10, n135299 ) }.
% 0.65/1.04 { leq( pv12, n4 ) }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, pred( pv12 ) ), a_select3( q, pv10, X ) =
% 0.65/1.04 divide( sqrt( times( minus( a_select3( center, X, n0 ), a_select2( x,
% 0.65/1.04 pv10 ) ), minus( a_select3( center, X, n0 ), a_select2( x, pv10 ) ) ) ),
% 0.65/1.04 sum( n0, n4, sqrt( times( minus( a_select3( center, tptp_sum_index, n0 )
% 0.65/1.04 , a_select2( x, pv10 ) ), minus( a_select3( center, tptp_sum_index, n0 )
% 0.65/1.04 , a_select2( x, pv10 ) ) ) ) ) ) }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), sum( n0, n4, a_select3( q, X,
% 0.65/1.04 tptp_sum_index ) ) = n1 }.
% 0.65/1.04 { leq( n0, skol15 ) }.
% 0.65/1.04 { leq( skol15, pred( pv10 ) ) }.
% 0.65/1.04 { pv10 = skol15 }.
% 0.65/1.04 { ! sum( n0, n4, cond( tptp_term_equals( pv12, tptp_sum_index ), divide(
% 0.65/1.04 sqrt( times( minus( a_select3( center, pv12, n0 ), a_select2( x, pv10 ) )
% 0.65/1.04 , minus( a_select3( center, pv12, n0 ), a_select2( x, pv10 ) ) ) ), pv70
% 0.65/1.04 ), a_select3( q, skol15, tptp_sum_index ) ) ) = n1 }.
% 0.65/1.04 { gt( n5, n4 ) }.
% 0.65/1.04 { gt( n135299, n4 ) }.
% 0.65/1.04 { gt( n135299, n5 ) }.
% 0.65/1.04 { gt( n4, tptp_minus_1 ) }.
% 0.65/1.04 { gt( n5, tptp_minus_1 ) }.
% 0.65/1.04 { gt( n135299, tptp_minus_1 ) }.
% 0.65/1.04 { gt( n0, tptp_minus_1 ) }.
% 0.65/1.04 { gt( n1, tptp_minus_1 ) }.
% 0.65/1.04 { gt( n2, tptp_minus_1 ) }.
% 0.65/1.04 { gt( n3, tptp_minus_1 ) }.
% 0.65/1.04 { gt( n4, n0 ) }.
% 0.65/1.04 { gt( n5, n0 ) }.
% 0.65/1.04 { gt( n135299, n0 ) }.
% 0.65/1.04 { gt( n1, n0 ) }.
% 0.65/1.04 { gt( n2, n0 ) }.
% 0.65/1.04 { gt( n3, n0 ) }.
% 0.65/1.04 { gt( n4, n1 ) }.
% 0.65/1.04 { gt( n5, n1 ) }.
% 0.65/1.04 { gt( n135299, n1 ) }.
% 0.65/1.04 { gt( n2, n1 ) }.
% 0.65/1.04 { gt( n3, n1 ) }.
% 0.65/1.04 { gt( n4, n2 ) }.
% 0.65/1.04 { gt( n5, n2 ) }.
% 0.65/1.04 { gt( n135299, n2 ) }.
% 0.65/1.04 { gt( n3, n2 ) }.
% 0.65/1.04 { gt( n4, n3 ) }.
% 0.65/1.04 { gt( n5, n3 ) }.
% 0.65/1.04 { gt( n135299, n3 ) }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.65/1.04 .
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.65/1.04 = n5 }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.65/1.04 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.65/1.04 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.65/1.04 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.65/1.04 { succ( n0 ) = n1 }.
% 0.65/1.04 { succ( succ( n0 ) ) = n2 }.
% 0.65/1.04 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.65/1.04
% 0.65/1.04 percentage equality = 0.184644, percentage horn = 0.873303
% 0.65/1.04 This is a problem with some equality
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Options Used:
% 0.65/1.04
% 0.65/1.04 useres = 1
% 0.65/1.04 useparamod = 1
% 0.65/1.04 useeqrefl = 1
% 0.65/1.04 useeqfact = 1
% 0.65/1.04 usefactor = 1
% 0.65/1.04 usesimpsplitting = 0
% 0.65/1.04 usesimpdemod = 5
% 0.65/1.04 usesimpres = 3
% 0.65/1.04
% 0.65/1.04 resimpinuse = 1000
% 0.65/1.04 resimpclauses = 20000
% 0.65/1.04 substype = eqrewr
% 0.65/1.04 backwardsubs = 1
% 0.65/1.04 selectoldest = 5
% 0.65/1.04
% 0.65/1.04 litorderings [0] = split
% 0.65/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.65/1.04
% 0.65/1.04 termordering = kbo
% 0.65/1.04
% 0.65/1.04 litapriori = 0
% 0.65/1.04 termapriori = 1
% 0.65/1.04 litaposteriori = 0
% 0.65/1.04 termaposteriori = 0
% 0.65/1.04 demodaposteriori = 0
% 0.65/1.04 ordereqreflfact = 0
% 0.65/1.04
% 0.65/1.04 litselect = negord
% 0.65/1.04
% 0.65/1.04 maxweight = 15
% 0.65/1.04 maxdepth = 30000
% 0.65/1.04 maxlength = 115
% 0.65/1.04 maxnrvars = 195
% 0.65/1.04 excuselevel = 1
% 0.65/1.04 increasemaxweight = 1
% 0.65/1.04
% 0.65/1.04 maxselected = 10000000
% 0.65/1.04 maxnrclauses = 10000000
% 0.65/1.04
% 0.65/1.04 showgenerated = 0
% 0.65/1.04 showkept = 0
% 0.65/1.04 showselected = 0
% 0.65/1.04 showdeleted = 0
% 0.65/1.04 showresimp = 1
% 0.65/1.04 showstatus = 2000
% 0.65/1.04
% 0.65/1.04 prologoutput = 0
% 0.65/1.04 nrgoals = 5000000
% 0.65/1.04 totalproof = 1
% 1.68/2.07
% 1.68/2.07 Symbols occurring in the translation:
% 1.68/2.07
% 1.68/2.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.68/2.07 . [1, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.68/2.07 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 1.68/2.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.68/2.07 gt [37, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.68/2.07 leq [39, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.68/2.07 lt [40, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.68/2.07 geq [41, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.68/2.07 pred [42, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.68/2.07 succ [43, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.68/2.07 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.68/2.07 uniform_int_rnd [46, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.68/2.07 dim [51, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.68/2.07 tptp_const_array1 [52, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.68/2.07 a_select2 [53, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.68/2.07 tptp_const_array2 [59, 3] (w:1, o:147, a:1, s:1, b:0),
% 1.68/2.07 a_select3 [60, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.68/2.07 trans [63, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.68/2.07 inv [64, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.68/2.07 tptp_update3 [67, 4] (w:1, o:166, a:1, s:1, b:0),
% 1.68/2.07 tptp_madd [69, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.68/2.07 tptp_msub [70, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.68/2.07 tptp_mmul [71, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.68/2.07 tptp_minus_1 [77, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.68/2.07 sum [78, 3] (w:1, o:145, a:1, s:1, b:0),
% 1.68/2.07 tptp_float_0_0 [79, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.68/2.07 n1 [80, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.68/2.07 plus [81, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.68/2.07 n2 [82, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.68/2.07 n3 [83, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.68/2.07 n4 [84, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.68/2.07 n5 [85, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.68/2.07 minus [86, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.68/2.07 tptp_update2 [91, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.68/2.07 true [92, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.68/2.07 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.68/2.07 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.68/2.07 pv70 [95, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.68/2.07 center [96, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.68/2.07 tptp_sum_index [97, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.68/2.07 x [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.68/2.07 pv10 [99, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.68/2.07 times [100, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.68/2.07 sqrt [101, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.68/2.07 pv12 [102, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.68/2.07 n135299 [103, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.68/2.07 q [104, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.68/2.07 divide [105, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.68/2.07 tptp_term_equals [106, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.68/2.07 cond [107, 3] (w:1, o:150, a:1, s:1, b:0),
% 1.68/2.07 alpha1 [108, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.68/2.07 alpha2 [109, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.68/2.07 alpha3 [110, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.68/2.07 alpha4 [111, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.68/2.07 alpha5 [112, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.68/2.07 alpha6 [113, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.68/2.07 alpha7 [114, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.68/2.07 alpha8 [115, 1] (w:1, o:64, a:1, s:1, b:1),
% 1.68/2.07 alpha9 [116, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.68/2.07 alpha10 [117, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.68/2.07 alpha11 [118, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.68/2.07 alpha12 [119, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.68/2.07 alpha13 [120, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.68/2.07 alpha14 [121, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.68/2.07 alpha15 [122, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.68/2.07 alpha16 [123, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.68/2.07 alpha17 [124, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.68/2.07 alpha18 [125, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.68/2.07 alpha19 [126, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.68/2.07 alpha20 [127, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.68/2.07 alpha21 [128, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.68/2.07 alpha22 [129, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.68/2.07 alpha23 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.68/2.07 alpha24 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.68/2.07 alpha25 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.68/2.07 alpha26 [133, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.68/2.07 alpha27 [134, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.68/2.07 alpha28 [135, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.68/2.07 alpha29 [136, 3] (w:1, o:162, a:1, s:1, b:1),
% 1.68/2.07 alpha30 [137, 3] (w:1, o:163, a:1, s:1, b:1),
% 1.68/2.07 skol1 [138, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.68/2.07 skol2 [139, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.68/2.07 skol3 [140, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.68/2.07 skol4 [141, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.68/2.07 skol5 [142, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.68/2.07 skol6 [143, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.68/2.07 skol7 [144, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.68/2.07 skol8 [145, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.68/2.07 skol9 [146, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.68/2.07 skol10 [147, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.68/2.07 skol11 [148, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.68/2.07 skol12 [149, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.68/2.07 skol13 [150, 4] (w:1, o:164, a:1, s:1, b:1),
% 1.68/2.07 skol14 [151, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.68/2.07 skol15 [152, 0] (w:1, o:32, a:1, s:1, b:1),
% 1.68/2.07 skol16 [153, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.68/2.07 skol17 [154, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.68/2.07 skol18 [155, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.68/2.07 skol19 [156, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.68/2.07 skol20 [157, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.68/2.07 skol21 [158, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.68/2.07 skol22 [159, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.68/2.07 skol23 [160, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.68/2.07 skol24 [161, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.68/2.07 skol25 [162, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.68/2.07 skol26 [163, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.68/2.07 skol27 [164, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.68/2.07 skol28 [165, 4] (w:1, o:165, a:1, s:1, b:1),
% 1.68/2.07 skol29 [166, 1] (w:1, o:61, a:1, s:1, b:1).
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 Starting Search:
% 1.68/2.07
% 1.68/2.07 *** allocated 15000 integers for clauses
% 1.68/2.07 *** allocated 22500 integers for clauses
% 1.68/2.07 *** allocated 33750 integers for clauses
% 1.68/2.07 *** allocated 22500 integers for termspace/termends
% 1.68/2.07 *** allocated 50625 integers for clauses
% 1.68/2.07 *** allocated 75937 integers for clauses
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 33750 integers for termspace/termends
% 1.68/2.07 *** allocated 113905 integers for clauses
% 1.68/2.07 *** allocated 50625 integers for termspace/termends
% 1.68/2.07
% 1.68/2.07 Intermediate Status:
% 1.68/2.07 Generated: 7959
% 1.68/2.07 Kept: 2039
% 1.68/2.07 Inuse: 171
% 1.68/2.07 Deleted: 0
% 1.68/2.07 Deletedinuse: 0
% 1.68/2.07
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 170857 integers for clauses
% 1.68/2.07 *** allocated 75937 integers for termspace/termends
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 113905 integers for termspace/termends
% 1.68/2.07 *** allocated 256285 integers for clauses
% 1.68/2.07
% 1.68/2.07 Intermediate Status:
% 1.68/2.07 Generated: 16609
% 1.68/2.07 Kept: 4103
% 1.68/2.07 Inuse: 329
% 1.68/2.07 Deleted: 2
% 1.68/2.07 Deletedinuse: 0
% 1.68/2.07
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 170857 integers for termspace/termends
% 1.68/2.07 *** allocated 384427 integers for clauses
% 1.68/2.07
% 1.68/2.07 Intermediate Status:
% 1.68/2.07 Generated: 23470
% 1.68/2.07 Kept: 6110
% 1.68/2.07 Inuse: 459
% 1.68/2.07 Deleted: 2
% 1.68/2.07 Deletedinuse: 0
% 1.68/2.07
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 256285 integers for termspace/termends
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 Intermediate Status:
% 1.68/2.07 Generated: 31517
% 1.68/2.07 Kept: 8213
% 1.68/2.07 Inuse: 554
% 1.68/2.07 Deleted: 2
% 1.68/2.07 Deletedinuse: 0
% 1.68/2.07
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 576640 integers for clauses
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 Intermediate Status:
% 1.68/2.07 Generated: 36758
% 1.68/2.07 Kept: 10288
% 1.68/2.07 Inuse: 734
% 1.68/2.07 Deleted: 2
% 1.68/2.07 Deletedinuse: 0
% 1.68/2.07
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 384427 integers for termspace/termends
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 Intermediate Status:
% 1.68/2.07 Generated: 44677
% 1.68/2.07 Kept: 12373
% 1.68/2.07 Inuse: 803
% 1.68/2.07 Deleted: 15
% 1.68/2.07 Deletedinuse: 12
% 1.68/2.07
% 1.68/2.07 Resimplifying inuse:
% 1.68/2.07 Done
% 1.68/2.07
% 1.68/2.07 *** allocated 864960 integers for clauses
% 1.68/2.07
% 1.68/2.07 Bliksems!, er is een bewijs:
% 1.68/2.07 % SZS status Theorem
% 1.68/2.07 % SZS output start Refutation
% 1.68/2.07
% 1.68/2.07 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 1.68/2.07 (11) {G0,W7,D3,L2,V2,M2} I { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.68/2.07 (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.68/2.07 (180) {G0,W3,D2,L1,V0,M1} I { pv10 ==> skol15 }.
% 1.68/2.07 (704) {G1,W4,D3,L1,V1,M1} R(11,2) { ! leq( X, pred( X ) ) }.
% 1.68/2.07 (13096) {G2,W0,D0,L0,V0,M0} S(179);d(180);r(704) { }.
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 % SZS output end Refutation
% 1.68/2.07 found a proof!
% 1.68/2.07
% 1.68/2.07
% 1.68/2.07 Unprocessed initial clauses:
% 1.68/2.07
% 1.68/2.07 (13098) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.68/2.07 (13099) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.68/2.07 (13100) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.68/2.07 (13101) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.68/2.07 (13102) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.68/2.07 }.
% 1.68/2.07 (13103) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.68/2.07 (13104) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.68/2.07 (13105) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13106) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.68/2.07 (13107) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.68/2.07 (13108) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.68/2.07 (13109) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.68/2.07 (13110) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.68/2.07 (13111) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.68/2.07 (13112) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.68/2.07 (13113) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.68/2.07 (13114) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.68/2.07 (13115) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.68/2.07 , X ) }.
% 1.68/2.07 (13116) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.68/2.07 , X ) ) }.
% 1.68/2.07 (13117) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.68/2.07 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.68/2.07 (13118) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.68/2.07 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.68/2.07 V0 ), X, T ) = V0 }.
% 1.68/2.07 (13119) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.68/2.07 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.68/2.07 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.68/2.07 (13120) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.68/2.07 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.68/2.07 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.68/2.07 = a_select3( trans( X ), T, Z ) }.
% 1.68/2.07 (13121) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.68/2.07 (13122) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13123) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13124) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha10( X, Y, Z ) }.
% 1.68/2.07 (13125) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13126) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13127) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13128) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.68/2.07 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.68/2.07 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.68/2.07 (13129) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.68/2.07 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.68/2.07 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.68/2.07 a_select3( inv( X ), T, Z ) }.
% 1.68/2.07 (13130) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.68/2.07 (13131) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13132) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13133) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha11( X, Y, Z ) }.
% 1.68/2.07 (13134) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13135) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13136) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13137) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.68/2.07 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.68/2.07 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.68/2.07 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.68/2.07 (13138) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.68/2.07 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.68/2.07 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.68/2.07 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.68/2.07 ( X, U, U, W ), T, Z ) }.
% 1.68/2.07 (13139) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.68/2.07 (13140) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13141) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13142) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha12( X, Y, Z ) }.
% 1.68/2.07 (13143) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13144) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13145) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13146) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.68/2.07 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.68/2.07 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.68/2.07 ), U, T ) }.
% 1.68/2.07 (13147) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.68/2.07 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.68/2.07 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.68/2.07 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.68/2.07 (13148) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.68/2.07 (13149) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13150) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13151) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha22( X, Y, Z ) }.
% 1.68/2.07 (13152) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13153) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13154) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13155) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.68/2.07 , skol20( X, Y ) ) }.
% 1.68/2.07 (13156) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.68/2.07 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.68/2.07 }.
% 1.68/2.07 (13157) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.68/2.07 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.68/2.07 (13158) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.68/2.07 (13159) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13160) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13161) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha23( X, Y, Z ) }.
% 1.68/2.07 (13162) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13163) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13164) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13165) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.68/2.07 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.68/2.07 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.68/2.07 ), U, T ) }.
% 1.68/2.07 (13166) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.68/2.07 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.68/2.07 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.68/2.07 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.68/2.07 (13167) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.68/2.07 (13168) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13169) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13170) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha24( X, Y, Z ) }.
% 1.68/2.07 (13171) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13172) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13173) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13174) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.68/2.07 , skol22( X, Y ) ) }.
% 1.68/2.07 (13175) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.68/2.07 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.68/2.07 }.
% 1.68/2.07 (13176) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.68/2.07 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.68/2.07 (13177) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.68/2.07 (13178) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13179) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13180) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha25( X, Y, Z ) }.
% 1.68/2.07 (13181) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13182) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13183) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13184) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.68/2.07 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.68/2.07 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.68/2.07 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.68/2.07 (13185) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.68/2.07 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.68/2.07 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.68/2.07 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.68/2.07 ( X, trans( U ) ) ), T, Z ) }.
% 1.68/2.07 (13186) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.68/2.07 (13187) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13188) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13189) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha17( X, Y, Z ) }.
% 1.68/2.07 (13190) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13191) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13192) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13193) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.68/2.07 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.68/2.07 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.68/2.07 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.68/2.07 (13194) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.68/2.07 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.68/2.07 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.68/2.07 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.68/2.07 ( X, trans( W ) ) ), T, Z ) }.
% 1.68/2.07 (13195) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.68/2.07 (13196) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13197) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13198) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha18( X, Y, Z ) }.
% 1.68/2.07 (13199) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13200) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13201) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13202) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.68/2.07 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.68/2.07 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.68/2.07 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.68/2.07 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.68/2.07 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.68/2.07 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.68/2.07 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.68/2.07 (13203) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.68/2.07 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.68/2.07 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.68/2.07 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.68/2.07 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.68/2.07 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.68/2.07 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.68/2.07 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.68/2.07 ) ), W, U ) }.
% 1.68/2.07 (13204) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.68/2.07 (13205) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13206) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13207) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha29( X, Y, Z ) }.
% 1.68/2.07 (13208) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13209) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13210) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13211) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.68/2.07 ), skol26( X, Y ) ) }.
% 1.68/2.07 (13212) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.68/2.07 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.68/2.07 }.
% 1.68/2.07 (13213) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.68/2.07 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.68/2.07 (13214) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.68/2.07 (13215) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13216) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13217) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha30( X, Y, Z ) }.
% 1.68/2.07 (13218) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13219) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13220) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13221) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.68/2.07 skol27( X, Y ) ) }.
% 1.68/2.07 (13222) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.68/2.07 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.68/2.07 (13223) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.68/2.07 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.68/2.07 (13224) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.68/2.07 (13225) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.68/2.07 (13226) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.68/2.07 (13227) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.68/2.07 , X ), alpha28( X, Y, Z ) }.
% 1.68/2.07 (13228) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13229) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.68/2.07 (13230) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13231) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.68/2.07 (13232) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.68/2.07 }.
% 1.68/2.07 (13233) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.68/2.07 (13234) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.68/2.07 (13235) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.68/2.07 (13236) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.68/2.07 (13237) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.68/2.07 (13238) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.68/2.07 }.
% 1.68/2.07 (13239) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.68/2.07 }.
% 1.68/2.07 (13240) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.68/2.07 ) ) ) }.
% 1.68/2.07 (13241) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.68/2.07 ) ) ) }.
% 1.68/2.07 (13242) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.68/2.07 succ( X ) ) ) ) ) }.
% 1.68/2.07 (13243) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.68/2.07 succ( X ) ) ) ) ) }.
% 1.68/2.07 (13244) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.68/2.07 (13245) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.68/2.07 (13246) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.68/2.07 (13247) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.68/2.07 }.
% 1.68/2.07 (13248) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.68/2.07 }.
% 1.68/2.07 (13249) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.68/2.07 (13250) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.68/2.07 (13251) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.68/2.07 ) = T }.
% 1.68/2.07 (13252) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.68/2.07 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.68/2.07 (13253) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.68/2.07 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.68/2.07 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.68/2.07 (13254) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.68/2.07 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.68/2.07 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.68/2.07 (13255) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.68/2.07 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.68/2.07 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.68/2.07 (13256) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.68/2.07 (13257) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.68/2.07 (13258) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.68/2.07 , Y, Z ) }.
% 1.68/2.07 (13259) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.68/2.07 (13260) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.68/2.07 (13261) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.68/2.07 ) }.
% 1.68/2.07 (13262) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.68/2.07 }.
% 1.68/2.07 (13263) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.68/2.07 tptp_update2( Z, X, U ), Y ) = T }.
% 1.68/2.07 (13264) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.68/2.07 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.68/2.07 (13265) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.68/2.07 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.68/2.07 (13266) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.68/2.07 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.68/2.07 }.
% 1.68/2.07 (13267) {G0,W1,D1,L1,V0,M1} { true }.
% 1.68/2.07 (13268) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.68/2.07 (13269) {G0,W23,D7,L1,V0,M1} { pv70 = sum( n0, n4, sqrt( times( minus(
% 1.68/2.07 a_select3( center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ), minus(
% 1.68/2.07 a_select3( center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ) ) ) ) }.
% 1.68/2.07 (13270) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.68/2.07 (13271) {G0,W3,D2,L1,V0,M1} { leq( n0, pv12 ) }.
% 1.68/2.07 (13272) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 1.68/2.07 (13273) {G0,W3,D2,L1,V0,M1} { leq( pv12, n4 ) }.
% 1.68/2.07 (13274) {G0,W52,D8,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv12 ) ),
% 1.68/2.07 a_select3( q, pv10, X ) = divide( sqrt( times( minus( a_select3( center,
% 1.68/2.07 X, n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, X, n0 ),
% 1.68/2.07 a_select2( x, pv10 ) ) ) ), sum( n0, n4, sqrt( times( minus( a_select3(
% 1.68/2.07 center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ), minus( a_select3(
% 1.68/2.07 center, tptp_sum_index, n0 ), a_select2( x, pv10 ) ) ) ) ) ) }.
% 1.68/2.07 (13275) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 1.68/2.07 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 1.68/2.07 (13276) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.68/2.07 (13277) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 1.68/2.07 (13278) {G0,W3,D2,L1,V0,M1} { pv10 = skol15 }.
% 1.68/2.07 (13279) {G0,W33,D9,L1,V0,M1} { ! sum( n0, n4, cond( tptp_term_equals( pv12
% 1.68/2.07 , tptp_sum_index ), divide( sqrt( times( minus( a_select3( center, pv12,
% 1.68/2.07 n0 ), a_select2( x, pv10 ) ), minus( a_select3( center, pv12, n0 ),
% 1.68/2.07 a_select2( x, pv10 ) ) ) ), pv70 ), a_select3( q, skol15, tptp_sum_index
% 1.68/2.07 ) ) ) = n1 }.
% 1.68/2.07 (13280) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.68/2.07 (13281) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.68/2.07 (13282) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.68/2.07 (13283) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.68/2.07 (13284) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.68/2.07 (13285) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.68/2.07 (13286) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.68/2.07 (13287) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.68/2.07 (13288) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.68/2.07 (13289) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.68/2.07 (13290) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.68/2.07 (13291) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.68/2.07 (13292) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.68/2.07 (13293) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.68/2.07 (13294) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.68/2.07 (13295) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.68/2.07 (13296) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.68/2.07 (13297) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.68/2.07 (13298) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.68/2.07 (13299) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.68/2.07 (13300) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.68/2.07 (13301) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.68/2.07 (13302) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.68/2.07 (13303) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.68/2.07 (13304) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.70/2.08 (13305) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.70/2.08 (13306) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.70/2.08 (13307) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.70/2.08 (13308) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.70/2.08 n1, X = n2, X = n3, X = n4 }.
% 1.70/2.08 (13309) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.70/2.08 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.70/2.08 (13310) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.70/2.08 (13311) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.70/2.08 n1 }.
% 1.70/2.08 (13312) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.70/2.08 n1, X = n2 }.
% 1.70/2.08 (13313) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.70/2.08 n1, X = n2, X = n3 }.
% 1.70/2.08 (13314) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.70/2.08 (13315) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.70/2.08 n5 }.
% 1.70/2.08 (13316) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.70/2.08 (13317) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.70/2.08 (13318) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 Total Proof:
% 1.70/2.08
% 1.70/2.08 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 1.70/2.08 parent0: (13100) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.70/2.08 substitution0:
% 1.70/2.08 X := X
% 1.70/2.08 end
% 1.70/2.08 permutation0:
% 1.70/2.08 0 ==> 0
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 subsumption: (11) {G0,W7,D3,L2,V2,M2} I { ! leq( X, pred( Y ) ), gt( Y, X )
% 1.70/2.08 }.
% 1.70/2.08 parent0: (13109) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X )
% 1.70/2.08 }.
% 1.70/2.08 substitution0:
% 1.70/2.08 X := X
% 1.70/2.08 Y := Y
% 1.70/2.08 end
% 1.70/2.08 permutation0:
% 1.70/2.08 0 ==> 0
% 1.70/2.08 1 ==> 1
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 subsumption: (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.70/2.08 parent0: (13277) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 1.70/2.08 substitution0:
% 1.70/2.08 end
% 1.70/2.08 permutation0:
% 1.70/2.08 0 ==> 0
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 subsumption: (180) {G0,W3,D2,L1,V0,M1} I { pv10 ==> skol15 }.
% 1.70/2.08 parent0: (13278) {G0,W3,D2,L1,V0,M1} { pv10 = skol15 }.
% 1.70/2.08 substitution0:
% 1.70/2.08 end
% 1.70/2.08 permutation0:
% 1.70/2.08 0 ==> 0
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 resolution: (14386) {G1,W4,D3,L1,V1,M1} { ! leq( X, pred( X ) ) }.
% 1.70/2.08 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 1.70/2.08 parent1[1]: (11) {G0,W7,D3,L2,V2,M2} I { ! leq( X, pred( Y ) ), gt( Y, X )
% 1.70/2.08 }.
% 1.70/2.08 substitution0:
% 1.70/2.08 X := X
% 1.70/2.08 end
% 1.70/2.08 substitution1:
% 1.70/2.08 X := X
% 1.70/2.08 Y := X
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 subsumption: (704) {G1,W4,D3,L1,V1,M1} R(11,2) { ! leq( X, pred( X ) ) }.
% 1.70/2.08 parent0: (14386) {G1,W4,D3,L1,V1,M1} { ! leq( X, pred( X ) ) }.
% 1.70/2.08 substitution0:
% 1.70/2.08 X := X
% 1.70/2.08 end
% 1.70/2.08 permutation0:
% 1.70/2.08 0 ==> 0
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 paramod: (14388) {G1,W4,D3,L1,V0,M1} { leq( skol15, pred( skol15 ) ) }.
% 1.70/2.08 parent0[0]: (180) {G0,W3,D2,L1,V0,M1} I { pv10 ==> skol15 }.
% 1.70/2.08 parent1[0; 3]: (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) )
% 1.70/2.08 }.
% 1.70/2.08 substitution0:
% 1.70/2.08 end
% 1.70/2.08 substitution1:
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 resolution: (14389) {G2,W0,D0,L0,V0,M0} { }.
% 1.70/2.08 parent0[0]: (704) {G1,W4,D3,L1,V1,M1} R(11,2) { ! leq( X, pred( X ) ) }.
% 1.70/2.08 parent1[0]: (14388) {G1,W4,D3,L1,V0,M1} { leq( skol15, pred( skol15 ) )
% 1.70/2.08 }.
% 1.70/2.08 substitution0:
% 1.70/2.08 X := skol15
% 1.70/2.08 end
% 1.70/2.08 substitution1:
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 subsumption: (13096) {G2,W0,D0,L0,V0,M0} S(179);d(180);r(704) { }.
% 1.70/2.08 parent0: (14389) {G2,W0,D0,L0,V0,M0} { }.
% 1.70/2.08 substitution0:
% 1.70/2.08 end
% 1.70/2.08 permutation0:
% 1.70/2.08 end
% 1.70/2.08
% 1.70/2.08 Proof check complete!
% 1.70/2.08
% 1.70/2.08 Memory use:
% 1.70/2.08
% 1.70/2.08 space for terms: 328163
% 1.70/2.08 space for clauses: 582739
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 clauses generated: 46707
% 1.70/2.08 clauses kept: 13097
% 1.70/2.08 clauses selected: 843
% 1.70/2.08 clauses deleted: 20
% 1.70/2.08 clauses inuse deleted: 12
% 1.70/2.08
% 1.70/2.08 subsentry: 147253
% 1.70/2.08 literals s-matched: 58577
% 1.70/2.08 literals matched: 49263
% 1.70/2.08 full subsumption: 36667
% 1.70/2.08
% 1.70/2.08 checksum: 1695098829
% 1.70/2.08
% 1.70/2.08
% 1.70/2.08 Bliksem ended
%------------------------------------------------------------------------------