TSTP Solution File: SWV164+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:46 EDT 2022
% Result : Theorem 0.82s 1.47s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.14/0.15 % Command : bliksem %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % DateTime : Thu Jun 16 01:11:44 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.80/1.19 *** allocated 10000 integers for termspace/termends
% 0.80/1.19 *** allocated 10000 integers for clauses
% 0.80/1.19 *** allocated 10000 integers for justifications
% 0.80/1.19 Bliksem 1.12
% 0.80/1.19
% 0.80/1.19
% 0.80/1.19 Automatic Strategy Selection
% 0.80/1.19
% 0.80/1.19 *** allocated 15000 integers for termspace/termends
% 0.80/1.19
% 0.80/1.19 Clauses:
% 0.80/1.19
% 0.80/1.19 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.19 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.80/1.19 { ! gt( X, X ) }.
% 0.80/1.19 { leq( X, X ) }.
% 0.80/1.19 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.80/1.19 { ! lt( X, Y ), gt( Y, X ) }.
% 0.80/1.19 { ! gt( Y, X ), lt( X, Y ) }.
% 0.80/1.19 { ! geq( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( Y, X ), geq( X, Y ) }.
% 0.80/1.19 { ! gt( Y, X ), leq( X, Y ) }.
% 0.80/1.19 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.80/1.19 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.80/1.19 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.80/1.19 { gt( succ( X ), X ) }.
% 0.80/1.19 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.80/1.19 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.80/1.19 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.80/1.19 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.80/1.19 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.80/1.19 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.80/1.19 T ), X ) = T }.
% 0.80/1.19 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.80/1.19 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.80/1.19 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.80/1.19 a_select3( trans( X ), T, Z ) }.
% 0.80/1.19 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.80/1.19 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.19 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.80/1.19 ) }.
% 0.80/1.19 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.80/1.19 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.80/1.19 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.80/1.19 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.80/1.19 a_select3( inv( X ), T, Z ) }.
% 0.80/1.19 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.80/1.19 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.19 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.80/1.19 .
% 0.80/1.19 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.80/1.19 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.80/1.19 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.80/1.19 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.19 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.80/1.19 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.80/1.19 X, U, U, W ), T, Z ) }.
% 0.80/1.19 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.80/1.19 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.19 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.80/1.19 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.80/1.19 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.80/1.19 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.80/1.19 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.80/1.19 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.80/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.80/1.19 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.19 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.80/1.19 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.80/1.19 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.19 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.80/1.19 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.80/1.19 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.80/1.19 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.80/1.19 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.80/1.19 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.80/1.19 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.80/1.19 ( X, Y ) }.
% 0.80/1.19 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.80/1.19 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.80/1.19 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.80/1.19 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.80/1.19 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.80/1.19 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.19 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.80/1.19 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.19 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.80/1.19 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.19 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.80/1.19 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.80/1.19 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.80/1.19 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.80/1.19 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.80/1.19 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.80/1.19 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.80/1.19 ( X, Y ) }.
% 0.80/1.19 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.80/1.19 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.80/1.19 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.80/1.19 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.19 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.80/1.19 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.80/1.19 U ) ) ), T, Z ) }.
% 0.80/1.19 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.80/1.19 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.19 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.80/1.19 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.80/1.19 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.80/1.19 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.80/1.19 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.80/1.19 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.80/1.19 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.80/1.19 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.80/1.19 W ) ) ), T, Z ) }.
% 0.80/1.19 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.80/1.19 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.80/1.19 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.80/1.19 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.80/1.19 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.80/1.19 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.80/1.19 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.80/1.19 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.80/1.19 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.80/1.19 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.80/1.19 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.80/1.19 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.80/1.19 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.80/1.19 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.80/1.19 ) }.
% 0.80/1.19 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.80/1.19 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.80/1.19 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.80/1.19 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.80/1.19 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.80/1.19 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.80/1.19 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.80/1.19 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.80/1.19 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.80/1.19 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.80/1.19 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.80/1.19 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.80/1.19 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.80/1.19 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.80/1.19 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.80/1.19 alpha19( X, Y ) }.
% 0.80/1.19 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.80/1.19 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.80/1.19 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.80/1.19 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.80/1.19 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.80/1.19 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.80/1.19 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.80/1.19 ), alpha8( X ) }.
% 0.80/1.19 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.80/1.19 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.19 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.19 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.80/1.19 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.80/1.19 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.80/1.19 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.80/1.19 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.80/1.19 { succ( tptp_minus_1 ) = n0 }.
% 0.80/1.19 { plus( X, n1 ) = succ( X ) }.
% 0.80/1.19 { plus( n1, X ) = succ( X ) }.
% 0.80/1.19 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.80/1.19 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.80/1.19 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.19 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.19 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.19 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.19 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.19 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.19 { minus( X, n1 ) = pred( X ) }.
% 0.80/1.19 { pred( succ( X ) ) = X }.
% 0.80/1.19 { succ( pred( X ) ) = X }.
% 0.80/1.19 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.80/1.19 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.80/1.19 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.80/1.19 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.80/1.19 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.80/1.19 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.80/1.19 , Y, V0 ), Z, T ) = W }.
% 0.80/1.19 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.80/1.19 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.80/1.19 }.
% 0.80/1.19 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.80/1.19 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.80/1.19 U, Z, T, W ), X, Y ) = W }.
% 0.80/1.19 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.80/1.19 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.80/1.19 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.80/1.19 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.80/1.19 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.80/1.19 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.80/1.19 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.80/1.19 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.80/1.19 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.80/1.19 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.80/1.19 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.80/1.19 T }.
% 0.80/1.19 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.19 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.19 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.19 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.19 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.80/1.19 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.19 { true }.
% 0.80/1.19 { ! def = use }.
% 0.80/1.19 { leq( n0, pv10 ) }.
% 0.80/1.19 { leq( pv10, n135299 ) }.
% 0.80/1.19 { ! leq( n0, X ), ! leq( X, pred( pv10 ) ), sum( n0, n4, a_select3( q, X,
% 0.80/1.19 tptp_sum_index ) ) = n1 }.
% 0.80/1.19 { leq( n0, skol15 ) }.
% 0.80/1.19 { leq( skol15, tptp_minus_1 ) }.
% 0.80/1.19 { ! a_select3( q, pv10, skol15 ) = divide( divide( times( exp( divide(
% 0.80/1.19 divide( times( minus( a_select2( x, pv10 ), a_select2( mu, skol15 ) ),
% 0.80/1.19 minus( a_select2( x, pv10 ), a_select2( mu, skol15 ) ) ), tptp_minus_2 )
% 0.80/1.19 , times( a_select2( sigma, skol15 ), a_select2( sigma, skol15 ) ) ) ),
% 0.80/1.19 a_select2( rho, skol15 ) ), times( sqrt( times( n2, tptp_pi ) ),
% 0.80/1.19 a_select2( sigma, skol15 ) ) ), sum( n0, n4, divide( times( exp( divide(
% 0.80/1.19 divide( times( minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index
% 0.80/1.19 ) ), minus( a_select2( x, pv10 ), a_select2( mu, tptp_sum_index ) ) ),
% 0.80/1.19 tptp_minus_2 ), times( a_select2( sigma, tptp_sum_index ), a_select2(
% 0.80/1.19 sigma, tptp_sum_index ) ) ) ), a_select2( rho, tptp_sum_index ) ), times
% 0.80/1.19 ( sqrt( times( n2, tptp_pi ) ), a_select2( sigma, tptp_sum_index ) ) ) )
% 0.80/1.19 ) }.
% 0.80/1.19 { gt( n5, n4 ) }.
% 0.80/1.19 { gt( n135299, n4 ) }.
% 0.80/1.19 { gt( n135299, n5 ) }.
% 0.80/1.19 { gt( n4, tptp_minus_1 ) }.
% 0.80/1.19 { gt( n5, tptp_minus_1 ) }.
% 0.80/1.19 { gt( n135299, tptp_minus_1 ) }.
% 0.80/1.19 { gt( n0, tptp_minus_1 ) }.
% 0.80/1.19 { gt( n1, tptp_minus_1 ) }.
% 0.80/1.19 { gt( n2, tptp_minus_1 ) }.
% 0.80/1.19 { gt( n3, tptp_minus_1 ) }.
% 0.80/1.19 { gt( n4, tptp_minus_2 ) }.
% 0.80/1.19 { gt( n5, tptp_minus_2 ) }.
% 0.80/1.19 { gt( tptp_minus_1, tptp_minus_2 ) }.
% 0.80/1.19 { gt( n135299, tptp_minus_2 ) }.
% 0.80/1.19 { gt( n0, tptp_minus_2 ) }.
% 0.80/1.19 { gt( n1, tptp_minus_2 ) }.
% 0.80/1.19 { gt( n2, tptp_minus_2 ) }.
% 0.80/1.19 { gt( n3, tptp_minus_2 ) }.
% 0.80/1.19 { gt( n4, n0 ) }.
% 0.80/1.19 { gt( n5, n0 ) }.
% 0.80/1.19 { gt( n135299, n0 ) }.
% 0.80/1.19 { gt( n1, n0 ) }.
% 0.80/1.19 { gt( n2, n0 ) }.
% 0.80/1.19 { gt( n3, n0 ) }.
% 0.80/1.19 { gt( n4, n1 ) }.
% 0.80/1.19 { gt( n5, n1 ) }.
% 0.80/1.19 { gt( n135299, n1 ) }.
% 0.80/1.19 { gt( n2, n1 ) }.
% 0.80/1.19 { gt( n3, n1 ) }.
% 0.80/1.19 { gt( n4, n2 ) }.
% 0.80/1.19 { gt( n5, n2 ) }.
% 0.80/1.19 { gt( n135299, n2 ) }.
% 0.80/1.19 { gt( n3, n2 ) }.
% 0.80/1.19 { gt( n4, n3 ) }.
% 0.80/1.19 { gt( n5, n3 ) }.
% 0.80/1.19 { gt( n135299, n3 ) }.
% 0.80/1.19 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.80/1.19 .
% 0.80/1.19 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.80/1.19 = n5 }.
% 0.80/1.19 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.80/1.19 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.80/1.19 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.80/1.19 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.80/1.19 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.80/1.19 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.80/1.19 { succ( n0 ) = n1 }.
% 0.80/1.19 { succ( succ( n0 ) ) = n2 }.
% 0.80/1.19 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.80/1.19
% 0.80/1.19 percentage equality = 0.178832, percentage horn = 0.875000
% 0.80/1.19 This is a problem with some equality
% 0.80/1.19
% 0.80/1.19
% 0.80/1.19
% 0.80/1.19 Options Used:
% 0.80/1.19
% 0.80/1.19 useres = 1
% 0.80/1.19 useparamod = 1
% 0.80/1.19 useeqrefl = 1
% 0.80/1.19 useeqfact = 1
% 0.80/1.19 usefactor = 1
% 0.80/1.19 usesimpsplitting = 0
% 0.80/1.19 usesimpdemod = 5
% 0.80/1.19 usesimpres = 3
% 0.80/1.19
% 0.80/1.19 resimpinuse = 1000
% 0.80/1.19 resimpclauses = 20000
% 0.80/1.19 substype = eqrewr
% 0.80/1.19 backwardsubs = 1
% 0.80/1.19 selectoldest = 5
% 0.80/1.19
% 0.80/1.19 litorderings [0] = split
% 0.80/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.19
% 0.80/1.19 termordering = kbo
% 0.80/1.19
% 0.80/1.19 litapriori = 0
% 0.80/1.19 termapriori = 1
% 0.80/1.19 litaposteriori = 0
% 0.80/1.19 termaposteriori = 0
% 0.80/1.19 demodaposteriori = 0
% 0.80/1.19 ordereqreflfact = 0
% 0.80/1.19
% 0.80/1.19 litselect = negord
% 0.80/1.19
% 0.80/1.19 maxweight = 15
% 0.80/1.19 maxdepth = 30000
% 0.80/1.19 maxlength = 115
% 0.80/1.19 maxnrvars = 195
% 0.80/1.19 excuselevel = 1
% 0.80/1.19 increasemaxweight = 1
% 0.80/1.19
% 0.80/1.19 maxselected = 10000000
% 0.80/1.19 maxnrclauses = 10000000
% 0.80/1.19
% 0.80/1.19 showgenerated = 0
% 0.80/1.19 showkept = 0
% 0.80/1.19 showselected = 0
% 0.80/1.19 showdeleted = 0
% 0.82/1.47 showresimp = 1
% 0.82/1.47 showstatus = 2000
% 0.82/1.47
% 0.82/1.47 prologoutput = 0
% 0.82/1.47 nrgoals = 5000000
% 0.82/1.47 totalproof = 1
% 0.82/1.47
% 0.82/1.47 Symbols occurring in the translation:
% 0.82/1.47
% 0.82/1.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.47 . [1, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.82/1.47 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 0.82/1.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.47 gt [37, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.82/1.47 leq [39, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.82/1.47 lt [40, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.82/1.47 geq [41, 2] (w:1, o:95, a:1, s:1, b:0),
% 0.82/1.47 pred [42, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.82/1.47 succ [43, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.82/1.47 n0 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.82/1.47 uniform_int_rnd [46, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.82/1.47 dim [51, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.82/1.47 tptp_const_array1 [52, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.82/1.47 a_select2 [53, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.82/1.47 tptp_const_array2 [59, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.82/1.47 a_select3 [60, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.82/1.47 trans [63, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.82/1.47 inv [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.82/1.47 tptp_update3 [67, 4] (w:1, o:167, a:1, s:1, b:0),
% 0.82/1.47 tptp_madd [69, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.82/1.47 tptp_msub [70, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.82/1.47 tptp_mmul [71, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.82/1.47 tptp_minus_1 [77, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.82/1.47 sum [78, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.82/1.47 tptp_float_0_0 [79, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.82/1.47 n1 [80, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.82/1.47 plus [81, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.82/1.47 n2 [82, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.82/1.47 n3 [83, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.82/1.47 n4 [84, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.82/1.47 n5 [85, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.82/1.47 minus [86, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.82/1.47 tptp_update2 [91, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.82/1.47 true [92, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.82/1.47 def [93, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.82/1.47 use [94, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.82/1.47 pv10 [95, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.82/1.47 n135299 [96, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.82/1.47 q [97, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.82/1.47 tptp_sum_index [98, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.82/1.47 x [99, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.82/1.47 mu [100, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.82/1.47 times [101, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.82/1.47 tptp_minus_2 [102, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.82/1.47 divide [103, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.82/1.47 sigma [104, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.82/1.47 exp [105, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.82/1.47 rho [106, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.82/1.47 tptp_pi [107, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.82/1.47 sqrt [108, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.82/1.47 alpha1 [109, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.82/1.47 alpha2 [110, 2] (w:1, o:137, a:1, s:1, b:1),
% 0.82/1.47 alpha3 [111, 2] (w:1, o:141, a:1, s:1, b:1),
% 0.82/1.47 alpha4 [112, 2] (w:1, o:142, a:1, s:1, b:1),
% 0.82/1.47 alpha5 [113, 2] (w:1, o:143, a:1, s:1, b:1),
% 0.82/1.47 alpha6 [114, 2] (w:1, o:144, a:1, s:1, b:1),
% 0.82/1.47 alpha7 [115, 2] (w:1, o:145, a:1, s:1, b:1),
% 0.82/1.47 alpha8 [116, 1] (w:1, o:67, a:1, s:1, b:1),
% 0.82/1.47 alpha9 [117, 2] (w:1, o:146, a:1, s:1, b:1),
% 0.82/1.47 alpha10 [118, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.82/1.47 alpha11 [119, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.82/1.47 alpha12 [120, 3] (w:1, o:154, a:1, s:1, b:1),
% 0.82/1.47 alpha13 [121, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.82/1.47 alpha14 [122, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.82/1.47 alpha15 [123, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.82/1.47 alpha16 [124, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.82/1.47 alpha17 [125, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.82/1.47 alpha18 [126, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.82/1.47 alpha19 [127, 2] (w:1, o:136, a:1, s:1, b:1),
% 0.82/1.47 alpha20 [128, 2] (w:1, o:138, a:1, s:1, b:1),
% 0.82/1.47 alpha21 [129, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.82/1.47 alpha22 [130, 3] (w:1, o:158, a:1, s:1, b:1),
% 0.82/1.47 alpha23 [131, 3] (w:1, o:159, a:1, s:1, b:1),
% 0.82/1.47 alpha24 [132, 3] (w:1, o:160, a:1, s:1, b:1),
% 0.82/1.47 alpha25 [133, 3] (w:1, o:161, a:1, s:1, b:1),
% 0.82/1.47 alpha26 [134, 2] (w:1, o:139, a:1, s:1, b:1),
% 0.82/1.47 alpha27 [135, 2] (w:1, o:140, a:1, s:1, b:1),
% 0.82/1.47 alpha28 [136, 3] (w:1, o:162, a:1, s:1, b:1),
% 0.82/1.47 alpha29 [137, 3] (w:1, o:163, a:1, s:1, b:1),
% 0.82/1.47 alpha30 [138, 3] (w:1, o:164, a:1, s:1, b:1),
% 0.82/1.47 skol1 [139, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.82/1.47 skol2 [140, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.82/1.47 skol3 [141, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.82/1.47 skol4 [142, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.82/1.47 skol5 [143, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.82/1.47 skol6 [144, 2] (w:1, o:116, a:1, s:1, b:1),
% 0.82/1.47 skol7 [145, 2] (w:1, o:117, a:1, s:1, b:1),
% 0.82/1.47 skol8 [146, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.82/1.47 skol9 [147, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.82/1.47 skol10 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.82/1.47 skol11 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.82/1.47 skol12 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.82/1.47 skol13 [151, 4] (w:1, o:165, a:1, s:1, b:1),
% 0.82/1.47 skol14 [152, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.82/1.47 skol15 [153, 0] (w:1, o:35, a:1, s:1, b:1),
% 0.82/1.47 skol16 [154, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.82/1.47 skol17 [155, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.82/1.47 skol18 [156, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.82/1.47 skol19 [157, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.82/1.47 skol20 [158, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.82/1.47 skol21 [159, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.82/1.47 skol22 [160, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.82/1.47 skol23 [161, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.82/1.47 skol24 [162, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.82/1.47 skol25 [163, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.82/1.47 skol26 [164, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.82/1.47 skol27 [165, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.82/1.47 skol28 [166, 4] (w:1, o:166, a:1, s:1, b:1),
% 0.82/1.47 skol29 [167, 1] (w:1, o:63, a:1, s:1, b:1).
% 0.82/1.47
% 0.82/1.47
% 0.82/1.47 Starting Search:
% 0.82/1.47
% 0.82/1.47 *** allocated 15000 integers for clauses
% 0.82/1.47 *** allocated 22500 integers for clauses
% 0.82/1.47 *** allocated 33750 integers for clauses
% 0.82/1.47 *** allocated 22500 integers for termspace/termends
% 0.82/1.47 *** allocated 50625 integers for clauses
% 0.82/1.47 *** allocated 75937 integers for clauses
% 0.82/1.47 Resimplifying inuse:
% 0.82/1.47 Done
% 0.82/1.47
% 0.82/1.47 *** allocated 33750 integers for termspace/termends
% 0.82/1.47 *** allocated 113905 integers for clauses
% 0.82/1.47 *** allocated 50625 integers for termspace/termends
% 0.82/1.47
% 0.82/1.47 Intermediate Status:
% 0.82/1.47 Generated: 8010
% 0.82/1.47 Kept: 2065
% 0.82/1.47 Inuse: 171
% 0.82/1.47 Deleted: 0
% 0.82/1.47 Deletedinuse: 0
% 0.82/1.47
% 0.82/1.47 Resimplifying inuse:
% 0.82/1.47 Done
% 0.82/1.47
% 0.82/1.47 *** allocated 170857 integers for clauses
% 0.82/1.47 *** allocated 75937 integers for termspace/termends
% 0.82/1.47 Resimplifying inuse:
% 0.82/1.47 Done
% 0.82/1.47
% 0.82/1.47 *** allocated 256285 integers for clauses
% 0.82/1.47 *** allocated 113905 integers for termspace/termends
% 0.82/1.47
% 0.82/1.47 Intermediate Status:
% 0.82/1.47 Generated: 16186
% 0.82/1.47 Kept: 4115
% 0.82/1.47 Inuse: 321
% 0.82/1.47 Deleted: 0
% 0.82/1.47 Deletedinuse: 0
% 0.82/1.47
% 0.82/1.47 Resimplifying inuse:
% 0.82/1.47 Done
% 0.82/1.47
% 0.82/1.47
% 0.82/1.47 Bliksems!, er is een bewijs:
% 0.82/1.47 % SZS status Theorem
% 0.82/1.47 % SZS output start Refutation
% 0.82/1.47
% 0.82/1.47 (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.82/1.47 (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.82/1.47 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 0.82/1.47 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.82/1.47 (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.82/1.47 (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 0.82/1.47 (174) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 0.82/1.47 (175) {G0,W3,D2,L1,V0,M1} I { leq( skol15, tptp_minus_1 ) }.
% 0.82/1.47 (3385) {G1,W3,D2,L1,V0,M1} R(175,15);d(135) { gt( n0, skol15 ) }.
% 0.82/1.47 (3455) {G2,W6,D2,L2,V1,M2} R(3385,1) { ! gt( X, n0 ), gt( X, skol15 ) }.
% 0.82/1.47 (3456) {G3,W6,D2,L2,V1,M2} P(10,3385);r(3455) { gt( X, skol15 ), ! leq( n0
% 0.82/1.47 , X ) }.
% 0.82/1.47 (4747) {G4,W6,D2,L2,V1,M2} P(0,174);r(3456) { gt( skol15, X ), gt( X,
% 0.82/1.47 skol15 ) }.
% 0.82/1.47 (4748) {G5,W0,D0,L0,V0,M0} F(4747);r(2) { }.
% 0.82/1.47
% 0.82/1.47
% 0.82/1.47 % SZS output end Refutation
% 0.82/1.47 found a proof!
% 0.82/1.47
% 0.82/1.47
% 0.82/1.47 Unprocessed initial clauses:
% 0.82/1.47
% 0.82/1.47 (4750) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.82/1.47 (4751) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.82/1.47 (4752) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.82/1.47 (4753) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.82/1.47 (4754) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.82/1.47 (4755) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.82/1.47 (4756) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.82/1.47 (4757) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4758) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.82/1.47 (4759) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.82/1.47 (4760) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.82/1.47 (4761) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.82/1.47 (4762) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.82/1.47 (4763) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.82/1.47 (4764) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.82/1.47 (4765) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.82/1.47 (4766) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.82/1.47 (4767) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 0.82/1.47 , X ) }.
% 0.82/1.47 (4768) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y,
% 0.82/1.47 X ) ) }.
% 0.82/1.47 (4769) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.82/1.47 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.82/1.47 (4770) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 0.82/1.47 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 0.82/1.47 V0 ), X, T ) = V0 }.
% 0.82/1.47 (4771) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 0.82/1.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.82/1.47 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.82/1.47 (4772) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 0.82/1.47 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 0.82/1.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 0.82/1.47 = a_select3( trans( X ), T, Z ) }.
% 0.82/1.47 (4773) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.82/1.47 (4774) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4775) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4776) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.47 X ), alpha10( X, Y, Z ) }.
% 0.82/1.47 (4777) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4778) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4779) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.82/1.47 }.
% 0.82/1.47 (4780) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 0.82/1.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.82/1.47 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.82/1.47 (4781) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 0.82/1.47 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 0.82/1.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.82/1.47 a_select3( inv( X ), T, Z ) }.
% 0.82/1.47 (4782) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.82/1.47 (4783) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4784) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4785) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.47 X ), alpha11( X, Y, Z ) }.
% 0.82/1.47 (4786) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4787) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4788) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.82/1.47 }.
% 0.82/1.47 (4789) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 0.82/1.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 0.82/1.47 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.82/1.47 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.82/1.47 (4790) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 0.82/1.47 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 0.82/1.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 0.82/1.47 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 0.82/1.47 ( X, U, U, W ), T, Z ) }.
% 0.82/1.47 (4791) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.82/1.47 (4792) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4793) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4794) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.47 X ), alpha12( X, Y, Z ) }.
% 0.82/1.47 (4795) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4796) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4797) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.82/1.47 }.
% 0.82/1.47 (4798) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.82/1.47 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.82/1.47 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.82/1.47 ), U, T ) }.
% 0.82/1.47 (4799) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 0.82/1.47 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 0.82/1.47 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.82/1.47 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.82/1.47 (4800) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.82/1.47 (4801) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4802) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4803) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.82/1.47 , X ), alpha22( X, Y, Z ) }.
% 0.82/1.47 (4804) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4805) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4806) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4807) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 0.82/1.47 , skol20( X, Y ) ) }.
% 0.82/1.47 (4808) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X,
% 0.82/1.47 Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.82/1.47 (4809) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.82/1.47 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.82/1.47 (4810) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.82/1.47 (4811) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4812) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4813) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.82/1.47 , X ), alpha23( X, Y, Z ) }.
% 0.82/1.47 (4814) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4815) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4816) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4817) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.82/1.47 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.82/1.47 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.82/1.47 ), U, T ) }.
% 0.82/1.47 (4818) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 0.82/1.47 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 0.82/1.47 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.82/1.47 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.82/1.47 (4819) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.82/1.47 (4820) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4821) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4822) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.82/1.47 , X ), alpha24( X, Y, Z ) }.
% 0.82/1.47 (4823) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4824) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4825) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4826) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 0.82/1.47 , skol22( X, Y ) ) }.
% 0.82/1.47 (4827) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X,
% 0.82/1.47 Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.82/1.47 (4828) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.82/1.47 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.82/1.47 (4829) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.82/1.47 (4830) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4831) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4832) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.82/1.47 , X ), alpha25( X, Y, Z ) }.
% 0.82/1.47 (4833) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4834) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4835) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4836) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 0.82/1.47 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.82/1.47 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 0.82/1.47 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.82/1.47 (4837) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 0.82/1.47 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 0.82/1.47 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.82/1.47 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.82/1.47 ( X, trans( U ) ) ), T, Z ) }.
% 0.82/1.47 (4838) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.82/1.47 (4839) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4840) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4841) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.47 X ), alpha17( X, Y, Z ) }.
% 0.82/1.47 (4842) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4843) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4844) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.82/1.47 }.
% 0.82/1.47 (4845) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 0.82/1.47 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 0.82/1.47 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 0.82/1.47 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.82/1.47 (4846) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 0.82/1.47 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 0.82/1.47 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.82/1.47 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.82/1.47 ( X, trans( W ) ) ), T, Z ) }.
% 0.82/1.47 (4847) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.82/1.47 (4848) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4849) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4850) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.82/1.47 X ), alpha18( X, Y, Z ) }.
% 0.82/1.47 (4851) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4852) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4853) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.82/1.47 }.
% 0.82/1.47 (4854) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.82/1.47 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.82/1.47 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.82/1.47 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.82/1.47 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.82/1.47 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.82/1.47 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.82/1.47 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.82/1.47 (4855) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3(
% 0.82/1.47 Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 0.82/1.47 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 0.82/1.47 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 0.82/1.47 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 0.82/1.47 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 0.82/1.47 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 0.82/1.47 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 0.82/1.47 ) ), W, U ) }.
% 0.82/1.47 (4856) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.82/1.47 (4857) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4858) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4859) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.82/1.47 , X ), alpha29( X, Y, Z ) }.
% 0.82/1.47 (4860) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4861) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4862) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4863) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 0.82/1.47 ), skol26( X, Y ) ) }.
% 0.82/1.47 (4864) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.82/1.47 , Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 0.82/1.47 }.
% 0.82/1.47 (4865) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.82/1.47 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.82/1.47 (4866) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.82/1.47 (4867) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4868) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4869) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.82/1.47 , X ), alpha30( X, Y, Z ) }.
% 0.82/1.47 (4870) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4871) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4872) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4873) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.82/1.47 skol27( X, Y ) ) }.
% 0.82/1.47 (4874) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 0.82/1.47 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.82/1.47 (4875) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3( X
% 0.82/1.47 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.82/1.47 (4876) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.82/1.47 (4877) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.82/1.47 (4878) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.82/1.47 (4879) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.82/1.47 , X ), alpha28( X, Y, Z ) }.
% 0.82/1.47 (4880) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4881) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.82/1.47 (4882) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4883) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.82/1.47 (4884) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.82/1.47 }.
% 0.82/1.47 (4885) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.82/1.47 (4886) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.82/1.47 (4887) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.82/1.47 (4888) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.82/1.47 (4889) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.82/1.47 (4890) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.47 (4891) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.82/1.47 (4892) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.82/1.47 ) ) }.
% 0.82/1.47 (4893) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.82/1.47 ) ) }.
% 0.82/1.47 (4894) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.82/1.47 ( X ) ) ) ) ) }.
% 0.82/1.47 (4895) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.82/1.47 ( X ) ) ) ) ) }.
% 0.82/1.47 (4896) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.82/1.47 (4897) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.82/1.47 (4898) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.82/1.47 (4899) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 0.82/1.47 }.
% 0.82/1.47 (4900) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 0.82/1.47 }.
% 0.82/1.47 (4901) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.82/1.47 (4902) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.82/1.47 (4903) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 0.82/1.47 ) = T }.
% 0.82/1.47 (4904) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.82/1.47 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.82/1.47 (4905) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0
% 0.82/1.47 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.82/1.47 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.47 (4906) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 0.82/1.47 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 0.82/1.47 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.47 (4907) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol28
% 0.82/1.47 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.82/1.47 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.82/1.47 (4908) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.82/1.47 (4909) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.82/1.47 (4910) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 0.82/1.47 , Y, Z ) }.
% 0.82/1.47 (4911) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.82/1.47 (4912) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.82/1.47 (4913) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 0.82/1.47 ) }.
% 0.82/1.47 (4914) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.82/1.47 }.
% 0.82/1.47 (4915) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.82/1.47 tptp_update2( Z, X, U ), Y ) = T }.
% 0.82/1.47 (4916) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 0.82/1.47 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.47 (4917) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 0.82/1.47 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.82/1.47 (4918) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.82/1.47 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.82/1.47 }.
% 0.82/1.47 (4919) {G0,W1,D1,L1,V0,M1} { true }.
% 0.82/1.47 (4920) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.82/1.47 (4921) {G0,W3,D2,L1,V0,M1} { leq( n0, pv10 ) }.
% 0.82/1.47 (4922) {G0,W3,D2,L1,V0,M1} { leq( pv10, n135299 ) }.
% 0.82/1.47 (4923) {G0,W16,D4,L3,V1,M3} { ! leq( n0, X ), ! leq( X, pred( pv10 ) ),
% 0.82/1.47 sum( n0, n4, a_select3( q, X, tptp_sum_index ) ) = n1 }.
% 0.82/1.47 (4924) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 0.82/1.47 (4925) {G0,W3,D2,L1,V0,M1} { leq( skol15, tptp_minus_1 ) }.
% 0.82/1.47 (4926) {G0,W87,D12,L1,V0,M1} { ! a_select3( q, pv10, skol15 ) = divide(
% 0.82/1.47 divide( times( exp( divide( divide( times( minus( a_select2( x, pv10 ),
% 0.82/1.47 a_select2( mu, skol15 ) ), minus( a_select2( x, pv10 ), a_select2( mu,
% 0.82/1.47 skol15 ) ) ), tptp_minus_2 ), times( a_select2( sigma, skol15 ),
% 0.82/1.47 a_select2( sigma, skol15 ) ) ) ), a_select2( rho, skol15 ) ), times( sqrt
% 0.82/1.47 ( times( n2, tptp_pi ) ), a_select2( sigma, skol15 ) ) ), sum( n0, n4,
% 0.82/1.47 divide( times( exp( divide( divide( times( minus( a_select2( x, pv10 ),
% 0.82/1.47 a_select2( mu, tptp_sum_index ) ), minus( a_select2( x, pv10 ), a_select2
% 0.82/1.47 ( mu, tptp_sum_index ) ) ), tptp_minus_2 ), times( a_select2( sigma,
% 0.82/1.47 tptp_sum_index ), a_select2( sigma, tptp_sum_index ) ) ) ), a_select2(
% 0.82/1.47 rho, tptp_sum_index ) ), times( sqrt( times( n2, tptp_pi ) ), a_select2(
% 0.82/1.47 sigma, tptp_sum_index ) ) ) ) ) }.
% 0.82/1.47 (4927) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.82/1.47 (4928) {G0,W3,D2,L1,V0,M1} { gt( n135299, n4 ) }.
% 0.82/1.47 (4929) {G0,W3,D2,L1,V0,M1} { gt( n135299, n5 ) }.
% 0.82/1.47 (4930) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.82/1.47 (4931) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.82/1.47 (4932) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_1 ) }.
% 0.82/1.47 (4933) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.82/1.47 (4934) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.82/1.47 (4935) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.82/1.47 (4936) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.82/1.47 (4937) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_2 ) }.
% 0.82/1.47 (4938) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_2 ) }.
% 0.82/1.47 (4939) {G0,W3,D2,L1,V0,M1} { gt( tptp_minus_1, tptp_minus_2 ) }.
% 0.82/1.47 (4940) {G0,W3,D2,L1,V0,M1} { gt( n135299, tptp_minus_2 ) }.
% 0.82/1.47 (4941) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_2 ) }.
% 0.82/1.47 (4942) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_2 ) }.
% 0.82/1.47 (4943) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_2 ) }.
% 0.82/1.47 (4944) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_2 ) }.
% 0.82/1.47 (4945) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.82/1.47 (4946) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.82/1.47 (4947) {G0,W3,D2,L1,V0,M1} { gt( n135299, n0 ) }.
% 0.82/1.47 (4948) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.82/1.47 (4949) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.82/1.47 (4950) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.82/1.47 (4951) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.82/1.47 (4952) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.82/1.47 (4953) {G0,W3,D2,L1,V0,M1} { gt( n135299, n1 ) }.
% 0.82/1.47 (4954) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.82/1.47 (4955) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.82/1.47 (4956) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.82/1.47 (4957) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.82/1.47 (4958) {G0,W3,D2,L1,V0,M1} { gt( n135299, n2 ) }.
% 0.82/1.47 (4959) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.82/1.47 (4960) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.82/1.47 (4961) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.82/1.47 (4962) {G0,W3,D2,L1,V0,M1} { gt( n135299, n3 ) }.
% 0.82/1.47 (4963) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.82/1.47 n1, X = n2, X = n3, X = n4 }.
% 0.82/1.47 (4964) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 2.25/2.65 n1, X = n2, X = n3, X = n4, X = n5 }.
% 2.25/2.65 (4965) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 2.25/2.65 (4966) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 2.25/2.65 n1 }.
% 2.25/2.65 (4967) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 2.25/2.65 n1, X = n2 }.
% 2.25/2.65 (4968) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 2.25/2.65 n1, X = n2, X = n3 }.
% 2.25/2.65 (4969) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 2.25/2.65 (4970) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 2.25/2.65 n5 }.
% 2.25/2.65 (4971) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 2.25/2.65 (4972) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 2.25/2.65 (4973) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 2.25/2.65
% 2.25/2.65
% 2.25/2.65 Total Proof:
% 2.25/2.65
% 2.25/2.65 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 2.25/2.65 parent0: (4750) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := X
% 2.25/2.65 Y := Y
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 1 ==> 1
% 2.25/2.65 2 ==> 2
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 subsumption: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X
% 2.25/2.65 , Y ) }.
% 2.25/2.65 parent0: (4751) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y
% 2.25/2.65 ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := X
% 2.25/2.65 Y := Y
% 2.25/2.65 Z := Z
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 1 ==> 1
% 2.25/2.65 2 ==> 2
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 2.25/2.65 parent0: (4752) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := X
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 2.25/2.65 }.
% 2.25/2.65 parent0: (4760) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := X
% 2.25/2.65 Y := Y
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 1 ==> 1
% 2.25/2.65 2 ==> 2
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 subsumption: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 2.25/2.65 }.
% 2.25/2.65 parent0: (4765) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X )
% 2.25/2.65 }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := X
% 2.25/2.65 Y := Y
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 1 ==> 1
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 *** allocated 170857 integers for termspace/termends
% 2.25/2.65 subsumption: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 2.25/2.65 parent0: (4885) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 2.25/2.65 substitution0:
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 subsumption: (174) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 2.25/2.65 parent0: (4924) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 *** allocated 384427 integers for clauses
% 2.25/2.65 subsumption: (175) {G0,W3,D2,L1,V0,M1} I { leq( skol15, tptp_minus_1 ) }.
% 2.25/2.65 parent0: (4925) {G0,W3,D2,L1,V0,M1} { leq( skol15, tptp_minus_1 ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 resolution: (6426) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ), skol15
% 2.25/2.65 ) }.
% 2.25/2.65 parent0[0]: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 2.25/2.65 }.
% 2.25/2.65 parent1[0]: (175) {G0,W3,D2,L1,V0,M1} I { leq( skol15, tptp_minus_1 ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := skol15
% 2.25/2.65 Y := tptp_minus_1
% 2.25/2.65 end
% 2.25/2.65 substitution1:
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 paramod: (6427) {G1,W3,D2,L1,V0,M1} { gt( n0, skol15 ) }.
% 2.25/2.65 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 2.25/2.65 parent1[0; 1]: (6426) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ),
% 2.25/2.65 skol15 ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 end
% 2.25/2.65 substitution1:
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 subsumption: (3385) {G1,W3,D2,L1,V0,M1} R(175,15);d(135) { gt( n0, skol15 )
% 2.25/2.65 }.
% 2.25/2.65 parent0: (6427) {G1,W3,D2,L1,V0,M1} { gt( n0, skol15 ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 resolution: (6429) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol15 )
% 2.25/2.65 }.
% 2.25/2.65 parent0[1]: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X,
% 2.25/2.65 Y ) }.
% 2.25/2.65 parent1[0]: (3385) {G1,W3,D2,L1,V0,M1} R(175,15);d(135) { gt( n0, skol15 )
% 2.25/2.65 }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := X
% 2.25/2.65 Y := skol15
% 2.25/2.65 Z := n0
% 2.25/2.65 end
% 2.25/2.65 substitution1:
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 subsumption: (3455) {G2,W6,D2,L2,V1,M2} R(3385,1) { ! gt( X, n0 ), gt( X,
% 2.25/2.65 skol15 ) }.
% 2.25/2.65 parent0: (6429) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol15 ) }.
% 2.25/2.65 substitution0:
% 2.25/2.65 X := X
% 2.25/2.65 end
% 2.25/2.65 permutation0:
% 2.25/2.65 0 ==> 0
% 2.25/2.65 1 ==> 1
% 2.25/2.65 end
% 2.25/2.65
% 2.25/2.65 *** allocated 15000 integers for justifications
% 2.25/2.65 *** allocated 256285 integers for termspace/termends
% 2.25/2.65 *** allocated 22500 integers for justifications
% 2.25/2.65 *** allocated 33750 integers for justifications
% 2.25/2.65 ***Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------