TSTP Solution File: SWV159+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV159+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 16:22:45 EDT 2022
% Result : Theorem 1.76s 2.17s
% Output : Refutation 1.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV159+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 16 03:50:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 *** allocated 15000 integers for termspace/termends
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.71/1.11 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.71/1.11 { ! gt( X, X ) }.
% 0.71/1.11 { leq( X, X ) }.
% 0.71/1.11 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.71/1.11 { ! lt( X, Y ), gt( Y, X ) }.
% 0.71/1.11 { ! gt( Y, X ), lt( X, Y ) }.
% 0.71/1.11 { ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.11 { ! gt( Y, X ), leq( X, Y ) }.
% 0.71/1.11 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.71/1.11 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.71/1.11 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.71/1.11 { gt( succ( X ), X ) }.
% 0.71/1.11 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.71/1.11 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.71/1.11 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.71/1.11 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.71/1.11 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.71/1.11 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.71/1.11 T ), X ) = T }.
% 0.71/1.11 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.71/1.11 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.71/1.11 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.71/1.11 a_select3( trans( X ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.71/1.11 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.71/1.11 ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.71/1.11 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.71/1.11 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.71/1.11 a_select3( inv( X ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.71/1.11 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.71/1.11 .
% 0.71/1.11 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.71/1.11 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.71/1.11 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.71/1.11 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.71/1.11 X, U, U, W ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.71/1.11 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.71/1.11 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.71/1.11 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.71/1.11 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.71/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.71/1.11 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.11 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.71/1.11 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.71/1.11 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.71/1.11 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.11 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.71/1.11 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.11 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.71/1.11 ( X, Y ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.71/1.11 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.71/1.11 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.71/1.11 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.71/1.11 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.11 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.71/1.11 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.11 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.71/1.11 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.71/1.11 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.71/1.11 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.71/1.11 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.71/1.11 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.71/1.11 ( X, Y ) }.
% 0.71/1.11 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.71/1.11 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.71/1.11 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.71/1.11 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.71/1.11 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.71/1.11 U ) ) ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.71/1.11 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.71/1.11 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.71/1.11 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.71/1.11 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.71/1.11 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.71/1.11 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.71/1.11 W ) ) ), T, Z ) }.
% 0.71/1.11 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.71/1.11 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.71/1.11 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.71/1.11 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.71/1.11 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.71/1.11 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.71/1.11 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.71/1.11 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.71/1.11 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.71/1.11 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.71/1.11 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.71/1.11 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.71/1.11 ) }.
% 0.71/1.11 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.71/1.11 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.71/1.11 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.71/1.11 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.71/1.11 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.71/1.11 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.71/1.11 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.71/1.11 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.71/1.11 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.71/1.11 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.71/1.11 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.71/1.11 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.11 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.71/1.11 alpha19( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.71/1.11 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.71/1.11 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.71/1.11 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.71/1.11 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.11 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.71/1.11 ), alpha8( X ) }.
% 0.71/1.11 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.71/1.11 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.11 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.11 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.71/1.11 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.71/1.11 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.71/1.11 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.71/1.11 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.71/1.11 { succ( tptp_minus_1 ) = n0 }.
% 0.71/1.11 { plus( X, n1 ) = succ( X ) }.
% 0.71/1.11 { plus( n1, X ) = succ( X ) }.
% 0.71/1.11 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.71/1.11 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.71/1.11 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.11 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.11 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.11 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.11 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.11 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.11 { minus( X, n1 ) = pred( X ) }.
% 0.71/1.11 { pred( succ( X ) ) = X }.
% 0.71/1.11 { succ( pred( X ) ) = X }.
% 0.71/1.11 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.71/1.11 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.71/1.11 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.71/1.11 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.71/1.11 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.71/1.11 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.71/1.11 , Y, V0 ), Z, T ) = W }.
% 0.71/1.11 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.71/1.11 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.71/1.11 }.
% 0.71/1.11 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.71/1.11 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.71/1.11 U, Z, T, W ), X, Y ) = W }.
% 0.71/1.11 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.71/1.11 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.71/1.11 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.71/1.11 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.71/1.11 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.71/1.11 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.71/1.11 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.71/1.11 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.71/1.11 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.71/1.11 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.71/1.11 T }.
% 0.71/1.11 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.11 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.11 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.11 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.71/1.11 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.11 { true }.
% 0.71/1.11 { ! def = use }.
% 0.71/1.11 { pv84 = sum( n0, n4, divide( times( exp( divide( divide( times( minus(
% 0.71/1.11 a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ), minus( a_select2
% 0.71/1.11 ( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times(
% 0.71/1.11 a_select2( sigma, tptp_sum_index ), a_select2( sigma, tptp_sum_index ) )
% 0.71/1.11 ) ), a_select2( rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi
% 0.71/1.11 ) ), a_select2( sigma, tptp_sum_index ) ) ) ) }.
% 0.71/1.11 { leq( n0, pv10 ) }.
% 0.71/1.11 { leq( n0, pv47 ) }.
% 0.71/1.11 { leq( pv10, n135299 ) }.
% 0.71/1.11 { leq( pv47, n4 ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, pred( pv47 ) ), a_select3( q, pv10, X ) =
% 0.71/1.11 divide( divide( times( exp( divide( divide( times( minus( a_select2( x,
% 0.71/1.11 pv10 ), a_select2( mu, X ) ), minus( a_select2( x, pv10 ), a_select2( mu
% 0.71/1.11 , X ) ) ), tptp_minus_2 ), times( a_select2( sigma, X ), a_select2( sigma
% 0.71/1.11 , X ) ) ) ), a_select2( rho, X ) ), times( sqrt( times( n2, tptp_pi ) ),
% 0.71/1.11 a_select2( sigma, X ) ) ), sum( n0, n4, divide( times( exp( divide(
% 0.71/1.11 divide( times( minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index
% 0.71/1.11 ) ), minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ),
% 0.71/1.11 tptp_minus_2 ), times( a_select2( sigma, tptp_sum_index ), a_select2(
% 0.71/1.11 sigma, tptp_sum_index ) ) ) ), a_select2( rho, tptp_sum_index ) ), times
% 0.71/1.11 ( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, tptp_sum_index ) ) ) )
% 0.71/1.11 ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), sum( n0, n4, a_select3( q, X,
% 0.71/1.11 tptp_sum_index ) ) = n1 }.
% 0.71/1.11 { leq( n0, skol15 ) }.
% 0.71/1.11 { leq( skol15, pred( pv10 ) ) }.
% 0.71/1.11 { ! pv10 = skol15 }.
% 0.71/1.11 { ! sum( n0, n4, a_select3( q, skol15, tptp_sum_index ) ) = n1 }.
% 0.71/1.11 { gt( n5, n4 ) }.
% 0.71/1.11 { gt( n135299, n4 ) }.
% 0.71/1.11 { gt( n135299, n5 ) }.
% 0.71/1.11 { gt( n4, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n5, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n135299, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n0, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n1, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n2, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n3, tptp_minus_1 ) }.
% 0.71/1.11 { gt( n4, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n5, tptp_minus_2 ) }.
% 0.71/1.11 { gt( tptp_minus_1, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n135299, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n0, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n1, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n2, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n3, tptp_minus_2 ) }.
% 0.71/1.11 { gt( n4, n0 ) }.
% 0.71/1.11 { gt( n5, n0 ) }.
% 0.71/1.11 { gt( n135299, n0 ) }.
% 0.71/1.11 { gt( n1, n0 ) }.
% 0.71/1.11 { gt( n2, n0 ) }.
% 0.71/1.11 { gt( n3, n0 ) }.
% 0.71/1.11 { gt( n4, n1 ) }.
% 0.71/1.11 { gt( n5, n1 ) }.
% 0.71/1.11 { gt( n135299, n1 ) }.
% 0.71/1.11 { gt( n2, n1 ) }.
% 0.71/1.11 { gt( n3, n1 ) }.
% 0.71/1.11 { gt( n4, n2 ) }.
% 0.71/1.11 { gt( n5, n2 ) }.
% 0.71/1.11 { gt( n135299, n2 ) }.
% 0.71/1.11 { gt( n3, n2 ) }.
% 0.71/1.11 { gt( n4, n3 ) }.
% 0.71/1.11 { gt( n5, n3 ) }.
% 0.71/1.11 { gt( n135299, n3 ) }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.71/1.11 .
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.71/1.11 = n5 }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.71/1.11 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.71/1.11 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.71/1.11 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.71/1.11 { succ( n0 ) = n1 }.
% 0.71/1.11 { succ( succ( n0 ) ) = n2 }.
% 0.71/1.11 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.71/1.11
% 0.71/1.11 percentage equality = 0.181982, percentage horn = 0.877729
% 0.71/1.11 This is a problem with some equality
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Options Used:
% 0.71/1.11
% 0.71/1.11 useres = 1
% 0.71/1.11 useparamod = 1
% 0.71/1.11 useeqrefl = 1
% 0.71/1.11 useeqfact = 1
% 0.71/1.11 usefactor = 1
% 0.71/1.11 usesimpsplitting = 0
% 0.71/1.11 usesimpdemod = 5
% 0.71/1.11 usesimpres = 3
% 0.71/1.11
% 0.71/1.11 resimpinuse = 1000
% 0.71/1.11 resimpclauses = 20000
% 0.71/1.11 substype = eqrewr
% 0.71/1.11 backwardsubs = 1
% 0.71/1.11 selectoldest = 5
% 0.71/1.11
% 0.71/1.11 litorderings [0] = split
% 1.55/1.94 litorderings [1] = extend the termordering, first sorting on arguments
% 1.55/1.94
% 1.55/1.94 termordering = kbo
% 1.55/1.94
% 1.55/1.94 litapriori = 0
% 1.55/1.94 termapriori = 1
% 1.55/1.94 litaposteriori = 0
% 1.55/1.94 termaposteriori = 0
% 1.55/1.94 demodaposteriori = 0
% 1.55/1.94 ordereqreflfact = 0
% 1.55/1.94
% 1.55/1.94 litselect = negord
% 1.55/1.94
% 1.55/1.94 maxweight = 15
% 1.55/1.94 maxdepth = 30000
% 1.55/1.94 maxlength = 115
% 1.55/1.94 maxnrvars = 195
% 1.55/1.94 excuselevel = 1
% 1.55/1.94 increasemaxweight = 1
% 1.55/1.94
% 1.55/1.94 maxselected = 10000000
% 1.55/1.94 maxnrclauses = 10000000
% 1.55/1.94
% 1.55/1.94 showgenerated = 0
% 1.55/1.94 showkept = 0
% 1.55/1.94 showselected = 0
% 1.55/1.94 showdeleted = 0
% 1.55/1.94 showresimp = 1
% 1.55/1.94 showstatus = 2000
% 1.55/1.94
% 1.55/1.94 prologoutput = 0
% 1.55/1.94 nrgoals = 5000000
% 1.55/1.94 totalproof = 1
% 1.55/1.94
% 1.55/1.94 Symbols occurring in the translation:
% 1.55/1.94
% 1.55/1.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.55/1.94 . [1, 2] (w:1, o:70, a:1, s:1, b:0),
% 1.55/1.94 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 1.55/1.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.55/1.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.55/1.94 gt [37, 2] (w:1, o:94, a:1, s:1, b:0),
% 1.55/1.94 leq [39, 2] (w:1, o:95, a:1, s:1, b:0),
% 1.55/1.94 lt [40, 2] (w:1, o:96, a:1, s:1, b:0),
% 1.55/1.94 geq [41, 2] (w:1, o:97, a:1, s:1, b:0),
% 1.55/1.94 pred [42, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.55/1.94 succ [43, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.55/1.94 n0 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.55/1.94 uniform_int_rnd [46, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.55/1.94 dim [51, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.55/1.94 tptp_const_array1 [52, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.55/1.94 a_select2 [53, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.55/1.94 tptp_const_array2 [59, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.55/1.94 a_select3 [60, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.55/1.94 trans [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.55/1.94 inv [64, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.55/1.94 tptp_update3 [67, 4] (w:1, o:169, a:1, s:1, b:0),
% 1.55/1.94 tptp_madd [69, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.55/1.94 tptp_msub [70, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.55/1.94 tptp_mmul [71, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.55/1.94 tptp_minus_1 [77, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.55/1.94 sum [78, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.55/1.94 tptp_float_0_0 [79, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.55/1.94 n1 [80, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.55/1.94 plus [81, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.55/1.94 n2 [82, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.55/1.94 n3 [83, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.55/1.94 n4 [84, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.55/1.94 n5 [85, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.55/1.94 minus [86, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.55/1.94 tptp_update2 [91, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.55/1.94 true [92, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.55/1.94 def [93, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.55/1.94 use [94, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.55/1.94 pv84 [95, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.55/1.94 x [96, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.55/1.94 pv10 [97, 0] (w:1, o:55, a:1, s:1, b:0),
% 1.55/1.94 mu [98, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.55/1.94 tptp_sum_index [99, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.55/1.94 times [100, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.55/1.94 tptp_minus_2 [101, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.55/1.94 divide [102, 2] (w:1, o:132, a:1, s:1, b:0),
% 1.55/1.94 sigma [103, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.55/1.94 exp [104, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.55/1.94 rho [105, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.55/1.94 tptp_pi [106, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.55/1.94 sqrt [107, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.55/1.94 pv47 [108, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.55/1.94 n135299 [109, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.55/1.94 q [110, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.55/1.94 alpha1 [111, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.55/1.94 alpha2 [112, 2] (w:1, o:139, a:1, s:1, b:1),
% 1.55/1.94 alpha3 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 1.55/1.94 alpha4 [114, 2] (w:1, o:144, a:1, s:1, b:1),
% 1.55/1.94 alpha5 [115, 2] (w:1, o:145, a:1, s:1, b:1),
% 1.55/1.94 alpha6 [116, 2] (w:1, o:146, a:1, s:1, b:1),
% 1.55/1.94 alpha7 [117, 2] (w:1, o:147, a:1, s:1, b:1),
% 1.55/1.94 alpha8 [118, 1] (w:1, o:69, a:1, s:1, b:1),
% 1.55/1.94 alpha9 [119, 2] (w:1, o:148, a:1, s:1, b:1),
% 1.55/1.94 alpha10 [120, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.55/1.94 alpha11 [121, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.55/1.94 alpha12 [122, 3] (w:1, o:156, a:1, s:1, b:1),
% 1.55/1.94 alpha13 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.76/2.17 alpha14 [124, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.76/2.17 alpha15 [125, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.76/2.17 alpha16 [126, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.76/2.17 alpha17 [127, 3] (w:1, o:157, a:1, s:1, b:1),
% 1.76/2.17 alpha18 [128, 3] (w:1, o:158, a:1, s:1, b:1),
% 1.76/2.17 alpha19 [129, 2] (w:1, o:138, a:1, s:1, b:1),
% 1.76/2.17 alpha20 [130, 2] (w:1, o:140, a:1, s:1, b:1),
% 1.76/2.17 alpha21 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 1.76/2.17 alpha22 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 1.76/2.17 alpha23 [133, 3] (w:1, o:161, a:1, s:1, b:1),
% 1.76/2.17 alpha24 [134, 3] (w:1, o:162, a:1, s:1, b:1),
% 1.76/2.17 alpha25 [135, 3] (w:1, o:163, a:1, s:1, b:1),
% 1.76/2.17 alpha26 [136, 2] (w:1, o:141, a:1, s:1, b:1),
% 1.76/2.17 alpha27 [137, 2] (w:1, o:142, a:1, s:1, b:1),
% 1.76/2.17 alpha28 [138, 3] (w:1, o:164, a:1, s:1, b:1),
% 1.76/2.17 alpha29 [139, 3] (w:1, o:165, a:1, s:1, b:1),
% 1.76/2.17 alpha30 [140, 3] (w:1, o:166, a:1, s:1, b:1),
% 1.76/2.17 skol1 [141, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.76/2.17 skol2 [142, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.76/2.17 skol3 [143, 2] (w:1, o:115, a:1, s:1, b:1),
% 1.76/2.17 skol4 [144, 2] (w:1, o:116, a:1, s:1, b:1),
% 1.76/2.17 skol5 [145, 2] (w:1, o:117, a:1, s:1, b:1),
% 1.76/2.17 skol6 [146, 2] (w:1, o:118, a:1, s:1, b:1),
% 1.76/2.17 skol7 [147, 2] (w:1, o:119, a:1, s:1, b:1),
% 1.76/2.17 skol8 [148, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.76/2.17 skol9 [149, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.76/2.17 skol10 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.76/2.17 skol11 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.76/2.17 skol12 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.76/2.17 skol13 [153, 4] (w:1, o:167, a:1, s:1, b:1),
% 1.76/2.17 skol14 [154, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.76/2.17 skol15 [155, 0] (w:1, o:36, a:1, s:1, b:1),
% 1.76/2.17 skol16 [156, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.76/2.17 skol17 [157, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.76/2.17 skol18 [158, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.76/2.17 skol19 [159, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.76/2.17 skol20 [160, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.76/2.17 skol21 [161, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.76/2.17 skol22 [162, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.76/2.17 skol23 [163, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.76/2.17 skol24 [164, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.76/2.17 skol25 [165, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.76/2.17 skol26 [166, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.76/2.17 skol27 [167, 2] (w:1, o:114, a:1, s:1, b:1),
% 1.76/2.17 skol28 [168, 4] (w:1, o:168, a:1, s:1, b:1),
% 1.76/2.17 skol29 [169, 1] (w:1, o:65, a:1, s:1, b:1).
% 1.76/2.17
% 1.76/2.17
% 1.76/2.17 Starting Search:
% 1.76/2.17
% 1.76/2.17 *** allocated 15000 integers for clauses
% 1.76/2.17 *** allocated 22500 integers for clauses
% 1.76/2.17 *** allocated 33750 integers for clauses
% 1.76/2.17 *** allocated 22500 integers for termspace/termends
% 1.76/2.17 *** allocated 50625 integers for clauses
% 1.76/2.17 *** allocated 75937 integers for clauses
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 33750 integers for termspace/termends
% 1.76/2.17 *** allocated 113905 integers for clauses
% 1.76/2.17 *** allocated 50625 integers for termspace/termends
% 1.76/2.17
% 1.76/2.17 Intermediate Status:
% 1.76/2.17 Generated: 8015
% 1.76/2.17 Kept: 2070
% 1.76/2.17 Inuse: 171
% 1.76/2.17 Deleted: 0
% 1.76/2.17 Deletedinuse: 0
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 170857 integers for clauses
% 1.76/2.17 *** allocated 75937 integers for termspace/termends
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 256285 integers for clauses
% 1.76/2.17 *** allocated 113905 integers for termspace/termends
% 1.76/2.17
% 1.76/2.17 Intermediate Status:
% 1.76/2.17 Generated: 16180
% 1.76/2.17 Kept: 4125
% 1.76/2.17 Inuse: 316
% 1.76/2.17 Deleted: 0
% 1.76/2.17 Deletedinuse: 0
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 170857 integers for termspace/termends
% 1.76/2.17 *** allocated 384427 integers for clauses
% 1.76/2.17
% 1.76/2.17 Intermediate Status:
% 1.76/2.17 Generated: 23517
% 1.76/2.17 Kept: 6222
% 1.76/2.17 Inuse: 451
% 1.76/2.17 Deleted: 0
% 1.76/2.17 Deletedinuse: 0
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 256285 integers for termspace/termends
% 1.76/2.17
% 1.76/2.17 Intermediate Status:
% 1.76/2.17 Generated: 31711
% 1.76/2.17 Kept: 8301
% 1.76/2.17 Inuse: 546
% 1.76/2.17 Deleted: 0
% 1.76/2.17 Deletedinuse: 0
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 576640 integers for clauses
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17
% 1.76/2.17 Intermediate Status:
% 1.76/2.17 Generated: 36454
% 1.76/2.17 Kept: 10301
% 1.76/2.17 Inuse: 660
% 1.76/2.17 Deleted: 0
% 1.76/2.17 Deletedinuse: 0
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 384427 integers for termspace/termends
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17
% 1.76/2.17 Intermediate Status:
% 1.76/2.17 Generated: 44608
% 1.76/2.17 Kept: 12355
% 1.76/2.17 Inuse: 790
% 1.76/2.17 Deleted: 13
% 1.76/2.17 Deletedinuse: 12
% 1.76/2.17
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17 *** allocated 864960 integers for clauses
% 1.76/2.17 Resimplifying inuse:
% 1.76/2.17 Done
% 1.76/2.17
% 1.76/2.17
% 1.76/2.17 Bliksems!, er is een bewijs:
% 1.76/2.17 % SZS status Theorem
% 1.76/2.17 % SZS output start Refutation
% 1.76/2.17
% 1.76/2.17 (177) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 1.76/2.17 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.17 (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.76/2.17 (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.76/2.17 (181) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q, skol15,
% 1.76/2.17 tptp_sum_index ) ) ==> n1 }.
% 1.76/2.17 (13652) {G1,W9,D4,L1,V0,M1} R(177,178);r(179) { sum( n0, n4, a_select3( q,
% 1.76/2.17 skol15, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.17 (13856) {G2,W0,D0,L0,V0,M0} S(181);d(13652);q { }.
% 1.76/2.17
% 1.76/2.17
% 1.76/2.17 % SZS output end Refutation
% 1.76/2.17 found a proof!
% 1.76/2.17
% 1.76/2.17
% 1.76/2.17 Unprocessed initial clauses:
% 1.76/2.17
% 1.76/2.17 (13858) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.76/2.17 (13859) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.76/2.17 (13860) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.76/2.17 (13861) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.76/2.17 (13862) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.76/2.17 }.
% 1.76/2.17 (13863) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.76/2.17 (13864) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.76/2.17 (13865) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13866) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.76/2.17 (13867) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.76/2.17 (13868) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.76/2.17 (13869) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.76/2.17 (13870) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.76/2.17 (13871) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.76/2.17 (13872) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.76/2.17 (13873) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.76/2.17 (13874) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.76/2.17 (13875) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.76/2.17 , X ) }.
% 1.76/2.17 (13876) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.76/2.17 , X ) ) }.
% 1.76/2.17 (13877) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.76/2.17 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.76/2.17 (13878) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.76/2.17 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.76/2.17 V0 ), X, T ) = V0 }.
% 1.76/2.17 (13879) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 1.76/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.76/2.17 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.76/2.17 (13880) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 1.76/2.17 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.76/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.76/2.17 = a_select3( trans( X ), T, Z ) }.
% 1.76/2.17 (13881) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.76/2.17 (13882) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13883) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13884) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha10( X, Y, Z ) }.
% 1.76/2.17 (13885) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13886) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13887) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13888) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 1.76/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.76/2.17 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.76/2.17 (13889) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 1.76/2.17 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.76/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.76/2.17 a_select3( inv( X ), T, Z ) }.
% 1.76/2.17 (13890) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.76/2.17 (13891) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13892) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13893) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha11( X, Y, Z ) }.
% 1.76/2.17 (13894) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13895) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13896) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13897) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 1.76/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.76/2.17 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.76/2.17 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.76/2.17 (13898) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 1.76/2.17 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.76/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.76/2.17 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.76/2.17 ( X, U, U, W ), T, Z ) }.
% 1.76/2.17 (13899) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.76/2.17 (13900) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13901) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13902) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha12( X, Y, Z ) }.
% 1.76/2.17 (13903) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13904) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13905) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13906) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.76/2.17 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.76/2.17 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.76/2.17 ), U, T ) }.
% 1.76/2.17 (13907) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.76/2.17 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 1.76/2.17 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.76/2.17 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.76/2.17 (13908) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.76/2.17 (13909) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13910) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13911) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha22( X, Y, Z ) }.
% 1.76/2.17 (13912) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13913) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13914) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13915) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.76/2.17 , skol20( X, Y ) ) }.
% 1.76/2.17 (13916) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.76/2.17 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 1.76/2.17 }.
% 1.76/2.17 (13917) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.76/2.17 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.76/2.17 (13918) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.76/2.17 (13919) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13920) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13921) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha23( X, Y, Z ) }.
% 1.76/2.17 (13922) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13923) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13924) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13925) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.76/2.17 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.76/2.17 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.76/2.17 ), U, T ) }.
% 1.76/2.17 (13926) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.76/2.17 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 1.76/2.17 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.76/2.17 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.76/2.17 (13927) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.76/2.17 (13928) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13929) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13930) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha24( X, Y, Z ) }.
% 1.76/2.17 (13931) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13932) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13933) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13934) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.76/2.17 , skol22( X, Y ) ) }.
% 1.76/2.17 (13935) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.76/2.17 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 1.76/2.17 }.
% 1.76/2.17 (13936) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.76/2.17 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.76/2.17 (13937) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.76/2.17 (13938) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13939) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13940) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha25( X, Y, Z ) }.
% 1.76/2.17 (13941) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13942) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13943) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13944) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 1.76/2.17 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.76/2.17 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.76/2.17 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.76/2.17 (13945) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 1.76/2.17 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.76/2.17 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.76/2.17 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.76/2.17 ( X, trans( U ) ) ), T, Z ) }.
% 1.76/2.17 (13946) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.76/2.17 (13947) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13948) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13949) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha17( X, Y, Z ) }.
% 1.76/2.17 (13950) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13951) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13952) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13953) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 1.76/2.17 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.76/2.17 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.76/2.17 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.76/2.17 (13954) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 1.76/2.17 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.76/2.17 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.76/2.17 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.76/2.17 ( X, trans( W ) ) ), T, Z ) }.
% 1.76/2.17 (13955) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.76/2.17 (13956) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13957) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13958) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha18( X, Y, Z ) }.
% 1.76/2.17 (13959) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13960) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13961) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13962) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.76/2.17 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.76/2.17 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.76/2.17 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.76/2.17 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.76/2.17 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.76/2.17 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.76/2.17 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.76/2.17 (13963) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.76/2.17 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 1.76/2.17 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.76/2.17 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.76/2.17 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.76/2.17 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.76/2.17 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.76/2.17 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.76/2.17 ) ), W, U ) }.
% 1.76/2.17 (13964) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.76/2.17 (13965) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13966) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13967) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha29( X, Y, Z ) }.
% 1.76/2.17 (13968) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13969) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13970) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13971) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.76/2.17 ), skol26( X, Y ) ) }.
% 1.76/2.17 (13972) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.76/2.17 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 1.76/2.17 }.
% 1.76/2.17 (13973) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.76/2.17 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.76/2.17 (13974) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.76/2.17 (13975) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13976) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13977) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha30( X, Y, Z ) }.
% 1.76/2.17 (13978) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13979) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13980) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13981) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.76/2.17 skol27( X, Y ) ) }.
% 1.76/2.17 (13982) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.76/2.17 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 1.76/2.17 (13983) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3(
% 1.76/2.17 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.76/2.17 (13984) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.76/2.17 (13985) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.17 (13986) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.17 (13987) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.17 , X ), alpha28( X, Y, Z ) }.
% 1.76/2.17 (13988) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (13989) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.76/2.17 (13990) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (13991) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.76/2.17 (13992) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.76/2.17 }.
% 1.76/2.17 (13993) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.76/2.17 (13994) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.76/2.17 (13995) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.76/2.17 (13996) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.76/2.17 (13997) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.76/2.17 (13998) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.76/2.17 }.
% 1.76/2.17 (13999) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.76/2.17 }.
% 1.76/2.17 (14000) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.76/2.17 ) ) ) }.
% 1.76/2.17 (14001) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.76/2.17 ) ) ) }.
% 1.76/2.17 (14002) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.76/2.17 succ( X ) ) ) ) ) }.
% 1.76/2.17 (14003) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.76/2.17 succ( X ) ) ) ) ) }.
% 1.76/2.17 (14004) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.76/2.17 (14005) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.76/2.17 (14006) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.76/2.17 (14007) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.76/2.17 }.
% 1.76/2.17 (14008) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.76/2.17 }.
% 1.76/2.17 (14009) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.76/2.17 (14010) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.76/2.17 (14011) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.76/2.17 ) = T }.
% 1.76/2.17 (14012) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.76/2.17 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.76/2.17 (14013) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 1.76/2.17 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.76/2.17 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.76/2.17 (14014) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 1.76/2.17 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.76/2.17 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.76/2.17 (14015) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.76/2.17 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.76/2.17 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.76/2.17 (14016) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.76/2.17 (14017) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.76/2.17 (14018) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.76/2.17 , Y, Z ) }.
% 1.76/2.17 (14019) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.76/2.17 (14020) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.76/2.17 (14021) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.76/2.17 ) }.
% 1.76/2.17 (14022) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.76/2.17 }.
% 1.76/2.17 (14023) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.76/2.17 tptp_update2( Z, X, U ), Y ) = T }.
% 1.76/2.17 (14024) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.76/2.17 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.76/2.17 (14025) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.76/2.17 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.76/2.17 (14026) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.76/2.17 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.76/2.17 }.
% 1.76/2.17 (14027) {G0,W1,D1,L1,V0,M1} { true }.
% 1.76/2.17 (14028) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.76/2.17 (14029) {G0,W44,D11,L1,V0,M1} { pv84 = sum( n0, n4, divide( times( exp(
% 1.76/2.17 divide( divide( times( minus( a_select2( x, pv10 ), a_select2( mu,
% 1.76/2.17 tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 1.76/2.17 tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 1.76/2.17 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 1.76/2.17 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 1.76/2.17 sigma, tptp_sum_index ) ) ) ) }.
% 1.76/2.17 (14030) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 1.76/2.17 (14031) {G0,W3,D2,L1,V0,M1} { leq( n0, pv47 ) }.
% 1.76/2.17 (14032) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 1.76/2.17 (14033) {G0,W3,D2,L1,V0,M1} { leq( pv47, n4 ) }.
% 1.76/2.17 (14034) {G0,W94,D12,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv47 ) ),
% 1.76/2.17 a_select3( q, pv10, X ) = divide( divide( times( exp( divide( divide(
% 1.76/2.17 times( minus( a_select2( x, pv10 ), a_select2( mu, X ) ), minus(
% 1.76/2.17 a_select2( x, pv10 ), a_select2( mu, X ) ) ), tptp_minus_2 ), times(
% 1.76/2.17 a_select2( sigma, X ), a_select2( sigma, X ) ) ) ), a_select2( rho, X ) )
% 1.76/2.17 , times( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, X ) ) ), sum( n0
% 1.76/2.17 , n4, divide( times( exp( divide( divide( times( minus( a_select2( x,
% 1.76/2.17 pv10 ), a_select2( mu, tptp_sum_index ) ), minus( a_select2( x, pv10 ),
% 1.76/2.17 a_select2( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2(
% 1.76/2.17 sigma, tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ),
% 1.76/2.17 a_select2( rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ),
% 1.76/2.17 a_select2( sigma, tptp_sum_index ) ) ) ) ) }.
% 1.76/2.17 (14035) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 1.76/2.17 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 1.76/2.17 (14036) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.76/2.19 (14037) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 1.76/2.19 (14038) {G0,W3,D2,L1,V0,M1} { ! pv10 = skol15 }.
% 1.76/2.19 (14039) {G0,W9,D4,L1,V0,M1} { ! sum( n0, n4, a_select3( q, skol15,
% 1.76/2.19 tptp_sum_index ) ) = n1 }.
% 1.76/2.19 (14040) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.76/2.19 (14041) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 1.76/2.19 (14042) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 1.76/2.19 (14043) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.76/2.19 (14044) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.76/2.19 (14045) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 1.76/2.19 (14046) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.76/2.19 (14047) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.76/2.19 (14048) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.76/2.19 (14049) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.76/2.19 (14050) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_2 ) }.
% 1.76/2.19 (14051) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_2 ) }.
% 1.76/2.19 (14052) {G0,W3,D2,L1,V0,M1} { gt( tptp_minus_1, tptp_minus_2 ) }.
% 1.76/2.19 (14053) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_2 ) }.
% 1.76/2.19 (14054) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_2 ) }.
% 1.76/2.19 (14055) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_2 ) }.
% 1.76/2.19 (14056) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_2 ) }.
% 1.76/2.19 (14057) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_2 ) }.
% 1.76/2.19 (14058) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.76/2.19 (14059) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.76/2.19 (14060) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 1.76/2.19 (14061) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.76/2.19 (14062) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.76/2.19 (14063) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.76/2.19 (14064) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.76/2.19 (14065) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.76/2.19 (14066) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 1.76/2.19 (14067) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.76/2.19 (14068) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.76/2.19 (14069) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.76/2.19 (14070) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.76/2.19 (14071) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 1.76/2.19 (14072) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.76/2.19 (14073) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.76/2.19 (14074) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.76/2.19 (14075) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 1.76/2.19 (14076) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.76/2.19 n1, X = n2, X = n3, X = n4 }.
% 1.76/2.19 (14077) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.76/2.19 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.76/2.19 (14078) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.76/2.19 (14079) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.76/2.19 n1 }.
% 1.76/2.19 (14080) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.76/2.19 n1, X = n2 }.
% 1.76/2.19 (14081) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.76/2.19 n1, X = n2, X = n3 }.
% 1.76/2.19 (14082) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.76/2.19 (14083) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.76/2.19 n5 }.
% 1.76/2.19 (14084) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.76/2.19 (14085) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.76/2.19 (14086) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Total Proof:
% 1.76/2.19
% 1.76/2.19 subsumption: (177) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred
% 1.76/2.19 ( pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 parent0: (14035) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred(
% 1.76/2.19 pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 1.76/2.19 substitution0:
% 1.76/2.19 X := X
% 1.76/2.19 end
% 1.76/2.19 permutation0:
% 1.76/2.19 0 ==> 0
% 1.76/2.19 1 ==> 1
% 1.76/2.19 2 ==> 2
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 *** allocated 576640 integers for termspace/termends
% 1.76/2.19 subsumption: (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.76/2.19 parent0: (14036) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19 permutation0:
% 1.76/2.19 0 ==> 0
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 subsumption: (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.76/2.19 parent0: (14037) {G0,W4,D3,L1,V0,M1} { leq( skol15, pred( pv10 ) ) }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19 permutation0:
% 1.76/2.19 0 ==> 0
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 subsumption: (181) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q,
% 1.76/2.19 skol15, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 parent0: (14039) {G0,W9,D4,L1,V0,M1} { ! sum( n0, n4, a_select3( q, skol15
% 1.76/2.19 , tptp_sum_index ) ) = n1 }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19 permutation0:
% 1.76/2.19 0 ==> 0
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 eqswap: (16209) {G0,W16,D4,L3,V1,M3} { n1 ==> sum( n0, n4, a_select3( q, X
% 1.76/2.19 , tptp_sum_index ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 1.76/2.19 parent0[2]: (177) {G0,W16,D4,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred(
% 1.76/2.19 pv10 ) ), sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 substitution0:
% 1.76/2.19 X := X
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 resolution: (16210) {G1,W13,D4,L2,V0,M2} { n1 ==> sum( n0, n4, a_select3(
% 1.76/2.19 q, skol15, tptp_sum_index ) ), ! leq( skol15, pred( pv10 ) ) }.
% 1.76/2.19 parent0[1]: (16209) {G0,W16,D4,L3,V1,M3} { n1 ==> sum( n0, n4, a_select3(
% 1.76/2.19 q, X, tptp_sum_index ) ), ! leq( n0, X ), ! leq( X, pred( pv10 ) ) }.
% 1.76/2.19 parent1[0]: (178) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 1.76/2.19 substitution0:
% 1.76/2.19 X := skol15
% 1.76/2.19 end
% 1.76/2.19 substitution1:
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 resolution: (16211) {G1,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3( q
% 1.76/2.19 , skol15, tptp_sum_index ) ) }.
% 1.76/2.19 parent0[1]: (16210) {G1,W13,D4,L2,V0,M2} { n1 ==> sum( n0, n4, a_select3(
% 1.76/2.19 q, skol15, tptp_sum_index ) ), ! leq( skol15, pred( pv10 ) ) }.
% 1.76/2.19 parent1[0]: (179) {G0,W4,D3,L1,V0,M1} I { leq( skol15, pred( pv10 ) ) }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19 substitution1:
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 eqswap: (16212) {G1,W9,D4,L1,V0,M1} { sum( n0, n4, a_select3( q, skol15,
% 1.76/2.19 tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 parent0[0]: (16211) {G1,W9,D4,L1,V0,M1} { n1 ==> sum( n0, n4, a_select3( q
% 1.76/2.19 , skol15, tptp_sum_index ) ) }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 subsumption: (13652) {G1,W9,D4,L1,V0,M1} R(177,178);r(179) { sum( n0, n4,
% 1.76/2.19 a_select3( q, skol15, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 parent0: (16212) {G1,W9,D4,L1,V0,M1} { sum( n0, n4, a_select3( q, skol15,
% 1.76/2.19 tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19 permutation0:
% 1.76/2.19 0 ==> 0
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 paramod: (16215) {G1,W3,D2,L1,V0,M1} { ! n1 ==> n1 }.
% 1.76/2.19 parent0[0]: (13652) {G1,W9,D4,L1,V0,M1} R(177,178);r(179) { sum( n0, n4,
% 1.76/2.19 a_select3( q, skol15, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 parent1[0; 2]: (181) {G0,W9,D4,L1,V0,M1} I { ! sum( n0, n4, a_select3( q,
% 1.76/2.19 skol15, tptp_sum_index ) ) ==> n1 }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19 substitution1:
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 eqrefl: (16216) {G0,W0,D0,L0,V0,M0} { }.
% 1.76/2.19 parent0[0]: (16215) {G1,W3,D2,L1,V0,M1} { ! n1 ==> n1 }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 subsumption: (13856) {G2,W0,D0,L0,V0,M0} S(181);d(13652);q { }.
% 1.76/2.19 parent0: (16216) {G0,W0,D0,L0,V0,M0} { }.
% 1.76/2.19 substitution0:
% 1.76/2.19 end
% 1.76/2.19 permutation0:
% 1.76/2.19 end
% 1.76/2.19
% 1.76/2.19 Proof check complete!
% 1.76/2.19
% 1.76/2.19 Memory use:
% 1.76/2.19
% 1.76/2.19 space for terms: 343302
% 1.76/2.19 space for clauses: 630428
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 clauses generated: 48448
% 1.76/2.19 clauses kept: 13857
% 1.76/2.19 clauses selected: 853
% 1.76/2.19 clauses deleted: 15
% 1.76/2.19 clauses inuse deleted: 12
% 1.76/2.19
% 1.76/2.19 subsentry: 183129
% 1.76/2.19 literals s-matched: 64999
% 1.76/2.19 literals matched: 53777
% 1.76/2.19 full subsumption: 38984
% 1.76/2.19
% 1.76/2.19 checksum: 500890291
% 1.76/2.19
% 1.76/2.19
% 1.76/2.19 Bliksem ended
%------------------------------------------------------------------------------