TSTP Solution File: SWV041+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV041+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 16:22:16 EDT 2022
% Result : Theorem 10.12s 10.51s
% Output : Refutation 10.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV041+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 18:34:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.80/1.18 *** allocated 10000 integers for termspace/termends
% 0.80/1.18 *** allocated 10000 integers for clauses
% 0.80/1.18 *** allocated 10000 integers for justifications
% 0.80/1.18 Bliksem 1.12
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Automatic Strategy Selection
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Clauses:
% 0.80/1.18
% 0.80/1.18 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.18 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.80/1.18 { ! gt( X, X ) }.
% 0.80/1.18 { leq( X, X ) }.
% 0.80/1.18 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.80/1.18 { ! lt( X, Y ), gt( Y, X ) }.
% 0.80/1.18 { ! gt( Y, X ), lt( X, Y ) }.
% 0.80/1.18 { ! geq( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( Y, X ), geq( X, Y ) }.
% 0.80/1.18 { ! gt( Y, X ), leq( X, Y ) }.
% 0.80/1.18 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.80/1.18 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.80/1.18 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.80/1.18 { gt( succ( X ), X ) }.
% 0.80/1.18 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.80/1.18 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.80/1.18 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.80/1.18 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.80/1.18 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.80/1.18 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.80/1.18 T ), X ) = T }.
% 0.80/1.18 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.80/1.18 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.80/1.18 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.80/1.18 a_select3( trans( X ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.80/1.18 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.80/1.18 ) }.
% 0.80/1.18 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.80/1.18 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.80/1.18 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.80/1.18 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.80/1.18 a_select3( inv( X ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.80/1.18 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.80/1.18 .
% 0.80/1.18 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.80/1.18 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.80/1.18 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.80/1.18 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.80/1.18 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.80/1.18 X, U, U, W ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.80/1.18 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.80/1.18 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.80/1.18 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.80/1.18 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.80/1.18 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.80/1.18 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.80/1.18 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.80/1.18 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.18 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.80/1.18 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.18 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.80/1.18 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.18 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.80/1.18 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.80/1.18 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.80/1.18 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.80/1.18 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.80/1.18 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.80/1.18 ( X, Y ) }.
% 0.80/1.18 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.80/1.18 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.80/1.18 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.80/1.18 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.80/1.18 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.80/1.18 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.18 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.80/1.18 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.18 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.80/1.18 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.18 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.80/1.18 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.80/1.18 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.80/1.18 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.80/1.18 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.80/1.18 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.80/1.18 ( X, Y ) }.
% 0.80/1.18 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.80/1.18 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.80/1.18 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.80/1.18 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.80/1.18 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.80/1.18 U ) ) ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.80/1.18 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.80/1.18 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.80/1.18 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.80/1.18 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.80/1.18 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.80/1.18 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.80/1.18 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.80/1.18 W ) ) ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.80/1.18 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.80/1.18 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.80/1.18 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.80/1.18 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.80/1.18 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.80/1.18 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.80/1.18 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.80/1.18 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.80/1.18 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.80/1.18 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.80/1.18 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.80/1.18 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.80/1.18 ) }.
% 0.80/1.18 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.80/1.18 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.80/1.18 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.80/1.18 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.80/1.18 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.80/1.18 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.80/1.18 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.80/1.18 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.80/1.18 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.80/1.18 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.80/1.18 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.80/1.18 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.80/1.18 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.80/1.18 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.80/1.18 alpha19( X, Y ) }.
% 0.80/1.18 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.80/1.18 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.80/1.18 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.80/1.18 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.80/1.18 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.80/1.18 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.80/1.18 ), alpha8( X ) }.
% 0.80/1.18 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.80/1.18 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.80/1.18 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.80/1.18 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.80/1.18 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.80/1.18 { succ( tptp_minus_1 ) = n0 }.
% 0.80/1.18 { plus( X, n1 ) = succ( X ) }.
% 0.80/1.18 { plus( n1, X ) = succ( X ) }.
% 0.80/1.18 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.80/1.18 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.80/1.18 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.18 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.18 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.18 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.18 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.18 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.18 { minus( X, n1 ) = pred( X ) }.
% 0.80/1.18 { pred( succ( X ) ) = X }.
% 0.80/1.18 { succ( pred( X ) ) = X }.
% 0.80/1.18 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.80/1.18 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.80/1.18 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.80/1.18 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.80/1.18 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.80/1.18 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.80/1.18 , Y, V0 ), Z, T ) = W }.
% 0.80/1.18 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.80/1.18 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.80/1.18 }.
% 0.80/1.18 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.80/1.18 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.80/1.18 U, Z, T, W ), X, Y ) = W }.
% 0.80/1.18 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.80/1.18 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.80/1.18 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.80/1.18 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.80/1.18 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.80/1.18 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.80/1.18 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.80/1.18 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.80/1.18 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.80/1.18 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.80/1.18 T }.
% 0.80/1.18 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.18 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.18 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.18 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.18 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.80/1.18 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.18 { true }.
% 0.80/1.18 { ! def = use }.
% 0.80/1.18 { geq( minus( n330, n1 ), n0 ) }.
% 0.80/1.18 { geq( minus( n410, n1 ), n0 ) }.
% 0.80/1.18 { leq( n0, skol15 ) }.
% 0.80/1.18 { leq( skol15, n2 ) }.
% 0.80/1.18 { leq( n0, skol29 ) }.
% 0.80/1.18 { leq( skol29, minus( n0, n1 ) ) }.
% 0.80/1.18 { ! a_select3( tptp_const_array2( dim( n0, n3 ), dim( n0, n2 ), uninit ),
% 0.80/1.18 skol29, skol15 ) = init }.
% 0.80/1.18 { gt( n5, n4 ) }.
% 0.80/1.18 { gt( n330, n4 ) }.
% 0.80/1.18 { gt( n410, n4 ) }.
% 0.80/1.18 { gt( n330, n5 ) }.
% 0.80/1.18 { gt( n410, n5 ) }.
% 0.80/1.18 { gt( n410, n330 ) }.
% 0.80/1.18 { gt( n4, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n5, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n330, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n410, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n0, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n1, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n2, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n3, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n4, n0 ) }.
% 0.80/1.18 { gt( n5, n0 ) }.
% 0.80/1.18 { gt( n330, n0 ) }.
% 0.80/1.18 { gt( n410, n0 ) }.
% 0.80/1.18 { gt( n1, n0 ) }.
% 0.80/1.18 { gt( n2, n0 ) }.
% 0.80/1.18 { gt( n3, n0 ) }.
% 0.80/1.18 { gt( n4, n1 ) }.
% 0.80/1.18 { gt( n5, n1 ) }.
% 0.80/1.18 { gt( n330, n1 ) }.
% 0.80/1.18 { gt( n410, n1 ) }.
% 0.80/1.18 { gt( n2, n1 ) }.
% 0.80/1.18 { gt( n3, n1 ) }.
% 0.80/1.18 { gt( n4, n2 ) }.
% 0.80/1.18 { gt( n5, n2 ) }.
% 0.80/1.18 { gt( n330, n2 ) }.
% 0.80/1.18 { gt( n410, n2 ) }.
% 0.80/1.18 { gt( n3, n2 ) }.
% 0.80/1.18 { gt( n4, n3 ) }.
% 0.80/1.18 { gt( n5, n3 ) }.
% 0.80/1.18 { gt( n330, n3 ) }.
% 0.80/1.18 { gt( n410, n3 ) }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.80/1.18 .
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.80/1.18 = n5 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.80/1.18 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.80/1.18 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.80/1.18 { succ( n0 ) = n1 }.
% 0.80/1.18 { succ( succ( n0 ) ) = n2 }.
% 0.80/1.18 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.80/1.18
% 0.80/1.18 percentage equality = 0.177331, percentage horn = 0.875556
% 0.80/1.18 This is a problem with some equality
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Options Used:
% 0.80/1.18
% 0.80/1.18 useres = 1
% 0.80/1.18 useparamod = 1
% 0.80/1.18 useeqrefl = 1
% 0.80/1.18 useeqfact = 1
% 0.80/1.18 usefactor = 1
% 0.80/1.18 usesimpsplitting = 0
% 0.80/1.18 usesimpdemod = 5
% 0.80/1.18 usesimpres = 3
% 0.80/1.18
% 0.80/1.18 resimpinuse = 1000
% 0.80/1.18 resimpclauses = 20000
% 0.80/1.18 substype = eqrewr
% 0.80/1.18 backwardsubs = 1
% 0.80/1.18 selectoldest = 5
% 0.80/1.18
% 0.80/1.18 litorderings [0] = split
% 0.80/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.18
% 0.80/1.18 termordering = kbo
% 0.80/1.18
% 0.80/1.18 litapriori = 0
% 0.80/1.18 termapriori = 1
% 0.80/1.18 litaposteriori = 0
% 0.80/1.18 termaposteriori = 0
% 0.80/1.18 demodaposteriori = 0
% 0.80/1.18 ordereqreflfact = 0
% 0.80/1.18
% 0.80/1.18 litselect = negord
% 0.80/1.18
% 0.80/1.18 maxweight = 15
% 0.80/1.18 maxdepth = 30000
% 0.80/1.18 maxlength = 115
% 0.80/1.18 maxnrvars = 195
% 0.80/1.18 excuselevel = 1
% 0.80/1.18 increasemaxweight = 1
% 0.80/1.18
% 0.80/1.18 maxselected = 10000000
% 0.80/1.18 maxnrclauses = 10000000
% 0.80/1.18
% 0.80/1.18 showgenerated = 0
% 0.80/1.18 showkept = 0
% 0.80/1.18 showselected = 0
% 0.80/1.18 showdeleted = 0
% 0.80/1.18 showresimp = 1
% 0.80/1.18 showstatus = 2000
% 0.80/1.18
% 0.80/1.18 prologoutput = 0
% 0.80/1.18 nrgoals = 5000000
% 0.80/1.18 totalproof = 1
% 0.80/1.18
% 0.80/1.18 Symbols occurring in the translation:
% 0.80/1.18
% 0.80/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.18 . [1, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.80/1.18 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.80/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.18 gt [37, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.80/1.18 leq [39, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.80/1.18 lt [40, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.80/1.18 geq [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.80/1.18 pred [42, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.80/1.18 succ [43, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.80/1.18 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.80/1.18 uniform_int_rnd [46, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.80/1.18 dim [51, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.80/1.18 tptp_const_array1 [52, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.80/1.18 a_select2 [53, 2] (w:1, o:119, a:1, s:1, b:0),
% 10.12/10.51 tptp_const_array2 [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 10.12/10.51 a_select3 [60, 3] (w:1, o:141, a:1, s:1, b:0),
% 10.12/10.51 trans [63, 1] (w:1, o:58, a:1, s:1, b:0),
% 10.12/10.51 inv [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 10.12/10.51 tptp_update3 [67, 4] (w:1, o:158, a:1, s:1, b:0),
% 10.12/10.51 tptp_madd [69, 2] (w:1, o:114, a:1, s:1, b:0),
% 10.12/10.51 tptp_msub [70, 2] (w:1, o:115, a:1, s:1, b:0),
% 10.12/10.51 tptp_mmul [71, 2] (w:1, o:116, a:1, s:1, b:0),
% 10.12/10.51 tptp_minus_1 [77, 0] (w:1, o:34, a:1, s:1, b:0),
% 10.12/10.51 sum [78, 3] (w:1, o:138, a:1, s:1, b:0),
% 10.12/10.51 tptp_float_0_0 [79, 0] (w:1, o:35, a:1, s:1, b:0),
% 10.12/10.51 n1 [80, 0] (w:1, o:36, a:1, s:1, b:0),
% 10.12/10.51 plus [81, 2] (w:1, o:120, a:1, s:1, b:0),
% 10.12/10.51 n2 [82, 0] (w:1, o:37, a:1, s:1, b:0),
% 10.12/10.51 n3 [83, 0] (w:1, o:38, a:1, s:1, b:0),
% 10.12/10.51 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 10.12/10.51 n5 [85, 0] (w:1, o:42, a:1, s:1, b:0),
% 10.12/10.51 minus [86, 2] (w:1, o:121, a:1, s:1, b:0),
% 10.12/10.51 tptp_update2 [91, 3] (w:1, o:142, a:1, s:1, b:0),
% 10.12/10.51 true [92, 0] (w:1, o:45, a:1, s:1, b:0),
% 10.12/10.51 def [93, 0] (w:1, o:46, a:1, s:1, b:0),
% 10.12/10.51 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 10.12/10.51 n330 [95, 0] (w:1, o:39, a:1, s:1, b:0),
% 10.12/10.51 n410 [96, 0] (w:1, o:41, a:1, s:1, b:0),
% 10.12/10.51 uninit [97, 0] (w:1, o:48, a:1, s:1, b:0),
% 10.12/10.51 init [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 10.12/10.51 alpha1 [99, 2] (w:1, o:122, a:1, s:1, b:1),
% 10.12/10.51 alpha2 [100, 2] (w:1, o:128, a:1, s:1, b:1),
% 10.12/10.51 alpha3 [101, 2] (w:1, o:132, a:1, s:1, b:1),
% 10.12/10.51 alpha4 [102, 2] (w:1, o:133, a:1, s:1, b:1),
% 10.12/10.51 alpha5 [103, 2] (w:1, o:134, a:1, s:1, b:1),
% 10.12/10.51 alpha6 [104, 2] (w:1, o:135, a:1, s:1, b:1),
% 10.12/10.51 alpha7 [105, 2] (w:1, o:136, a:1, s:1, b:1),
% 10.12/10.51 alpha8 [106, 1] (w:1, o:60, a:1, s:1, b:1),
% 10.12/10.51 alpha9 [107, 2] (w:1, o:137, a:1, s:1, b:1),
% 10.12/10.51 alpha10 [108, 3] (w:1, o:143, a:1, s:1, b:1),
% 10.12/10.51 alpha11 [109, 3] (w:1, o:144, a:1, s:1, b:1),
% 10.12/10.51 alpha12 [110, 3] (w:1, o:145, a:1, s:1, b:1),
% 10.12/10.51 alpha13 [111, 2] (w:1, o:123, a:1, s:1, b:1),
% 10.12/10.51 alpha14 [112, 2] (w:1, o:124, a:1, s:1, b:1),
% 10.12/10.51 alpha15 [113, 2] (w:1, o:125, a:1, s:1, b:1),
% 10.12/10.51 alpha16 [114, 2] (w:1, o:126, a:1, s:1, b:1),
% 10.12/10.51 alpha17 [115, 3] (w:1, o:146, a:1, s:1, b:1),
% 10.12/10.51 alpha18 [116, 3] (w:1, o:147, a:1, s:1, b:1),
% 10.12/10.51 alpha19 [117, 2] (w:1, o:127, a:1, s:1, b:1),
% 10.12/10.51 alpha20 [118, 2] (w:1, o:129, a:1, s:1, b:1),
% 10.12/10.51 alpha21 [119, 3] (w:1, o:148, a:1, s:1, b:1),
% 10.12/10.51 alpha22 [120, 3] (w:1, o:149, a:1, s:1, b:1),
% 10.12/10.51 alpha23 [121, 3] (w:1, o:150, a:1, s:1, b:1),
% 10.12/10.51 alpha24 [122, 3] (w:1, o:151, a:1, s:1, b:1),
% 10.12/10.51 alpha25 [123, 3] (w:1, o:152, a:1, s:1, b:1),
% 10.12/10.51 alpha26 [124, 2] (w:1, o:130, a:1, s:1, b:1),
% 10.12/10.51 alpha27 [125, 2] (w:1, o:131, a:1, s:1, b:1),
% 10.12/10.51 alpha28 [126, 3] (w:1, o:153, a:1, s:1, b:1),
% 10.12/10.51 alpha29 [127, 3] (w:1, o:154, a:1, s:1, b:1),
% 10.12/10.51 alpha30 [128, 3] (w:1, o:155, a:1, s:1, b:1),
% 10.12/10.51 skol1 [129, 2] (w:1, o:89, a:1, s:1, b:1),
% 10.12/10.51 skol2 [130, 2] (w:1, o:97, a:1, s:1, b:1),
% 10.12/10.51 skol3 [131, 2] (w:1, o:106, a:1, s:1, b:1),
% 10.12/10.51 skol4 [132, 2] (w:1, o:107, a:1, s:1, b:1),
% 10.12/10.51 skol5 [133, 2] (w:1, o:108, a:1, s:1, b:1),
% 10.12/10.51 skol6 [134, 2] (w:1, o:109, a:1, s:1, b:1),
% 10.12/10.51 skol7 [135, 2] (w:1, o:110, a:1, s:1, b:1),
% 10.12/10.51 skol8 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 10.12/10.51 skol9 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 10.12/10.51 skol10 [138, 2] (w:1, o:90, a:1, s:1, b:1),
% 10.12/10.51 skol11 [139, 2] (w:1, o:91, a:1, s:1, b:1),
% 10.12/10.51 skol12 [140, 2] (w:1, o:92, a:1, s:1, b:1),
% 10.12/10.51 skol13 [141, 4] (w:1, o:156, a:1, s:1, b:1),
% 10.12/10.51 skol14 [142, 3] (w:1, o:139, a:1, s:1, b:1),
% 10.12/10.51 skol15 [143, 0] (w:1, o:32, a:1, s:1, b:1),
% 10.12/10.51 skol16 [144, 2] (w:1, o:93, a:1, s:1, b:1),
% 10.12/10.51 skol17 [145, 2] (w:1, o:94, a:1, s:1, b:1),
% 10.12/10.51 skol18 [146, 2] (w:1, o:95, a:1, s:1, b:1),
% 10.12/10.51 skol19 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 10.12/10.51 skol20 [148, 2] (w:1, o:98, a:1, s:1, b:1),
% 10.12/10.51 skol21 [149, 2] (w:1, o:99, a:1, s:1, b:1),
% 10.12/10.51 skol22 [150, 2] (w:1, o:100, a:1, s:1, b:1),
% 10.12/10.51 skol23 [151, 2] (w:1, o:101, a:1, s:1, b:1),
% 10.12/10.51 skol24 [152, 2] (w:1, o:102, a:1, s:1, b:1),
% 10.12/10.51 skol25 [153, 2] (w:1, o:103, a:1, s:1, b:1),
% 10.12/10.51 skol26 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 10.12/10.51 skol27 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 10.12/10.51 skol28 [156, 4] (w:1, o:157, a:1, s:1, b:1),
% 10.12/10.51 skol29 [157, 0] (w:1, o:33, a:1, s:1, b:1),
% 10.12/10.51 skol30 [158, 1] (w:1, o:57, a:1, s:1, b:1).
% 10.12/10.51
% 10.12/10.51
% 10.12/10.51 Starting Search:
% 10.12/10.51
% 10.12/10.51 *** allocated 15000 integers for clauses
% 10.12/10.51 *** allocated 22500 integers for clauses
% 10.12/10.51 *** allocated 15000 integers for termspace/termends
% 10.12/10.51 *** allocated 33750 integers for clauses
% 10.12/10.51 *** allocated 50625 integers for clauses
% 10.12/10.51 *** allocated 22500 integers for termspace/termends
% 10.12/10.51 *** allocated 75937 integers for clauses
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 33750 integers for termspace/termends
% 10.12/10.51 *** allocated 113905 integers for clauses
% 10.12/10.51 *** allocated 50625 integers for termspace/termends
% 10.12/10.51
% 10.12/10.51 Intermediate Status:
% 10.12/10.51 Generated: 7968
% 10.12/10.51 Kept: 2043
% 10.12/10.51 Inuse: 171
% 10.12/10.51 Deleted: 0
% 10.12/10.51 Deletedinuse: 0
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 170857 integers for clauses
% 10.12/10.51 *** allocated 75937 integers for termspace/termends
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 256285 integers for clauses
% 10.12/10.51 *** allocated 113905 integers for termspace/termends
% 10.12/10.51
% 10.12/10.51 Intermediate Status:
% 10.12/10.51 Generated: 16089
% 10.12/10.51 Kept: 4114
% 10.12/10.51 Inuse: 326
% 10.12/10.51 Deleted: 0
% 10.12/10.51 Deletedinuse: 0
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 170857 integers for termspace/termends
% 10.12/10.51 *** allocated 384427 integers for clauses
% 10.12/10.51
% 10.12/10.51 Intermediate Status:
% 10.12/10.51 Generated: 23259
% 10.12/10.51 Kept: 6115
% 10.12/10.51 Inuse: 451
% 10.12/10.51 Deleted: 0
% 10.12/10.51 Deletedinuse: 0
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 256285 integers for termspace/termends
% 10.12/10.51
% 10.12/10.51 Intermediate Status:
% 10.12/10.51 Generated: 31535
% 10.12/10.51 Kept: 8178
% 10.12/10.51 Inuse: 551
% 10.12/10.51 Deleted: 0
% 10.12/10.51 Deletedinuse: 0
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 576640 integers for clauses
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51
% 10.12/10.51 Intermediate Status:
% 10.12/10.51 Generated: 36269
% 10.12/10.51 Kept: 10178
% 10.12/10.51 Inuse: 713
% 10.12/10.51 Deleted: 0
% 10.12/10.51 Deletedinuse: 0
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 384427 integers for termspace/termends
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51
% 10.12/10.51 Intermediate Status:
% 10.12/10.51 Generated: 44549
% 10.12/10.51 Kept: 12270
% 10.12/10.51 Inuse: 800
% 10.12/10.51 Deleted: 1
% 10.12/10.51 Deletedinuse: 0
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 *** allocated 864960 integers for clauses
% 10.12/10.51 *** allocated 576640 integers for termspace/termends
% 10.12/10.51
% 10.12/10.51 Intermediate Status:
% 10.12/10.51 Generated: 78282
% 10.12/10.51 Kept: 14858
% 10.12/10.51 Inuse: 853
% 10.12/10.51 Deleted: 3
% 10.12/10.51 Deletedinuse: 0
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51 Resimplifying inuse:
% 10.12/10.51 Done
% 10.12/10.51
% 10.12/10.51
% 10.12/10.51 Bliksems!, er is een bewijs:
% 10.12/10.51 % SZS status Theorem
% 10.12/10.51 % SZS output start Refutation
% 10.12/10.51
% 10.12/10.51 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 10.12/10.51 (5) {G0,W6,D2,L2,V2,M2} I { ! lt( X, Y ), gt( Y, X ) }.
% 10.12/10.51 (6) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), lt( X, Y ) }.
% 10.12/10.51 (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 10.12/10.51 (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 10.12/10.51 (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.12/10.51 (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.12/10.51 (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 10.15/10.51 (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 10.15/10.51 (176) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( skol29, pred( n0 ) ) }.
% 10.15/10.51 (216) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 10.15/10.51 (476) {G1,W3,D2,L1,V1,M1} R(5,2) { ! lt( X, X ) }.
% 10.15/10.51 (10201) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==> tptp_minus_1 }.
% 10.15/10.51 (13188) {G2,W3,D2,L1,V0,M1} S(176);d(10201) { leq( skol29, tptp_minus_1 )
% 10.15/10.51 }.
% 10.15/10.51 (13219) {G3,W3,D2,L1,V0,M1} R(13188,15);d(135) { gt( n0, skol29 ) }.
% 10.15/10.51 (13220) {G3,W3,D2,L1,V0,M1} R(13188,14);d(135) { leq( skol29, n0 ) }.
% 10.15/10.51 (15963) {G4,W3,D2,L1,V0,M1} R(13219,6) { lt( skol29, n0 ) }.
% 10.15/10.51 (16016) {G4,W3,D2,L1,V0,M1} R(216,13220);r(175) { skol29 ==> n0 }.
% 10.15/10.51 (16117) {G5,W3,D2,L1,V0,M1} P(216,15963);d(16016);d(16016);f;r(476) { ! leq
% 10.15/10.51 ( n0, n0 ) }.
% 10.15/10.51 (16345) {G6,W0,D0,L0,V0,M0} P(16016,13220);r(16117) { }.
% 10.15/10.51
% 10.15/10.51
% 10.15/10.51 % SZS output end Refutation
% 10.15/10.51 found a proof!
% 10.15/10.51
% 10.15/10.51
% 10.15/10.51 Unprocessed initial clauses:
% 10.15/10.51
% 10.15/10.51 (16347) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 10.15/10.51 (16348) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 10.15/10.51 (16349) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 10.15/10.51 (16350) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 10.15/10.51 (16351) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 10.15/10.51 }.
% 10.15/10.51 (16352) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 10.15/10.51 (16353) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 10.15/10.51 (16354) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16355) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 10.15/10.51 (16356) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 10.15/10.51 (16357) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 10.15/10.51 (16358) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 10.15/10.51 (16359) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 10.15/10.51 (16360) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 10.15/10.51 (16361) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 10.15/10.51 (16362) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 10.15/10.51 (16363) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 10.15/10.51 (16364) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 10.15/10.51 , X ) }.
% 10.15/10.51 (16365) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 10.15/10.51 , X ) ) }.
% 10.15/10.51 (16366) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 10.15/10.51 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 10.15/10.51 (16367) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 10.15/10.51 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 10.15/10.51 V0 ), X, T ) = V0 }.
% 10.15/10.51 (16368) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 10.15/10.51 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 10.15/10.51 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 10.15/10.51 (16369) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 10.15/10.51 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 10.15/10.51 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 10.15/10.51 = a_select3( trans( X ), T, Z ) }.
% 10.15/10.51 (16370) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 10.15/10.51 (16371) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16372) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16373) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha10( X, Y, Z ) }.
% 10.15/10.51 (16374) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16375) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16376) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16377) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 10.15/10.51 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 10.15/10.51 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 10.15/10.51 (16378) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 10.15/10.51 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 10.15/10.51 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 10.15/10.51 a_select3( inv( X ), T, Z ) }.
% 10.15/10.51 (16379) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 10.15/10.51 (16380) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16381) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16382) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha11( X, Y, Z ) }.
% 10.15/10.51 (16383) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16384) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16385) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16386) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 10.15/10.51 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 10.15/10.51 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 10.15/10.51 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 10.15/10.51 (16387) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 10.15/10.51 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 10.15/10.51 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 10.15/10.51 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 10.15/10.51 ( X, U, U, W ), T, Z ) }.
% 10.15/10.51 (16388) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 10.15/10.51 (16389) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16390) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16391) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha12( X, Y, Z ) }.
% 10.15/10.51 (16392) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16393) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16394) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16395) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 10.15/10.51 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 10.15/10.51 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 10.15/10.51 ), U, T ) }.
% 10.15/10.51 (16396) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 10.15/10.51 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 10.15/10.51 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 10.15/10.51 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 10.15/10.51 (16397) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 10.15/10.51 (16398) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16399) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16400) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha22( X, Y, Z ) }.
% 10.15/10.51 (16401) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16402) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16403) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16404) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 10.15/10.51 , skol20( X, Y ) ) }.
% 10.15/10.51 (16405) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 10.15/10.51 , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 10.15/10.51 }.
% 10.15/10.51 (16406) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 10.15/10.51 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 10.15/10.51 (16407) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 10.15/10.51 (16408) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16409) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16410) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha23( X, Y, Z ) }.
% 10.15/10.51 (16411) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16412) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16413) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16414) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 10.15/10.51 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 10.15/10.51 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 10.15/10.51 ), U, T ) }.
% 10.15/10.51 (16415) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 10.15/10.51 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 10.15/10.51 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 10.15/10.51 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 10.15/10.51 (16416) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 10.15/10.51 (16417) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16418) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16419) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha24( X, Y, Z ) }.
% 10.15/10.51 (16420) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16421) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16422) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16423) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 10.15/10.51 , skol22( X, Y ) ) }.
% 10.15/10.51 (16424) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 10.15/10.51 , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 10.15/10.51 }.
% 10.15/10.51 (16425) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 10.15/10.51 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 10.15/10.51 (16426) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 10.15/10.51 (16427) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16428) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16429) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha25( X, Y, Z ) }.
% 10.15/10.51 (16430) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16431) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16432) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16433) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 10.15/10.51 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 10.15/10.51 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 10.15/10.51 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 10.15/10.51 (16434) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 10.15/10.51 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 10.15/10.51 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 10.15/10.51 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 10.15/10.51 ( X, trans( U ) ) ), T, Z ) }.
% 10.15/10.51 (16435) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 10.15/10.51 (16436) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16437) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16438) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha17( X, Y, Z ) }.
% 10.15/10.51 (16439) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16440) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16441) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16442) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 10.15/10.51 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 10.15/10.51 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 10.15/10.51 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 10.15/10.51 (16443) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 10.15/10.51 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 10.15/10.51 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 10.15/10.51 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 10.15/10.51 ( X, trans( W ) ) ), T, Z ) }.
% 10.15/10.51 (16444) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 10.15/10.51 (16445) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16446) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16447) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha18( X, Y, Z ) }.
% 10.15/10.51 (16448) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16449) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16450) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16451) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 10.15/10.51 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 10.15/10.51 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 10.15/10.51 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 10.15/10.51 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 10.15/10.51 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 10.15/10.51 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 10.15/10.51 ) ), trans( V0 ) ) ) ), W, U ) }.
% 10.15/10.51 (16452) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 10.15/10.51 ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 10.15/10.51 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 10.15/10.51 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 10.15/10.51 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 10.15/10.51 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 10.15/10.51 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 10.15/10.51 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 10.15/10.51 ) ), W, U ) }.
% 10.15/10.51 (16453) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 10.15/10.51 (16454) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16455) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16456) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha29( X, Y, Z ) }.
% 10.15/10.51 (16457) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16458) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16459) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16460) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 10.15/10.51 ), skol26( X, Y ) ) }.
% 10.15/10.51 (16461) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 10.15/10.51 X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 10.15/10.51 }.
% 10.15/10.51 (16462) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 10.15/10.51 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 10.15/10.51 (16463) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 10.15/10.51 (16464) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16465) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16466) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha30( X, Y, Z ) }.
% 10.15/10.51 (16467) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16468) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16469) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16470) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 10.15/10.51 skol27( X, Y ) ) }.
% 10.15/10.51 (16471) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 10.15/10.51 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 10.15/10.51 (16472) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3(
% 10.15/10.51 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 10.15/10.51 (16473) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 10.15/10.51 (16474) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 10.15/10.51 (16475) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 10.15/10.51 (16476) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 10.15/10.51 , X ), alpha28( X, Y, Z ) }.
% 10.15/10.51 (16477) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16478) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 10.15/10.51 (16479) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16480) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 10.15/10.51 (16481) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 10.15/10.51 }.
% 10.15/10.51 (16482) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 10.15/10.51 (16483) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 10.15/10.51 (16484) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 10.15/10.51 (16485) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 10.15/10.51 (16486) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 10.15/10.51 (16487) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 10.15/10.51 }.
% 10.15/10.51 (16488) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 10.15/10.51 }.
% 10.15/10.51 (16489) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 10.15/10.51 ) ) ) }.
% 10.15/10.51 (16490) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 10.15/10.51 ) ) ) }.
% 10.15/10.51 (16491) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 10.15/10.51 succ( X ) ) ) ) ) }.
% 10.15/10.51 (16492) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 10.15/10.51 succ( X ) ) ) ) ) }.
% 10.15/10.51 (16493) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 10.15/10.51 (16494) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 10.15/10.51 (16495) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 10.15/10.51 (16496) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 10.15/10.51 }.
% 10.15/10.51 (16497) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 10.15/10.51 }.
% 10.15/10.51 (16498) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 10.15/10.51 (16499) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 10.15/10.51 (16500) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 10.15/10.51 ) = T }.
% 10.15/10.51 (16501) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 10.15/10.51 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 10.15/10.51 (16502) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq(
% 10.15/10.51 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 10.15/10.51 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 10.15/10.51 (16503) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 10.15/10.51 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 10.15/10.51 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 10.15/10.51 (16504) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 10.15/10.51 skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 10.15/10.51 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 10.15/10.51 (16505) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 10.15/10.51 (16506) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 10.15/10.51 (16507) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 10.15/10.51 , Y, Z ) }.
% 10.15/10.51 (16508) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 10.15/10.51 (16509) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 10.15/10.51 (16510) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 10.15/10.51 ) }.
% 10.15/10.51 (16511) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 10.15/10.51 }.
% 10.15/10.51 (16512) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 10.15/10.51 tptp_update2( Z, X, U ), Y ) = T }.
% 10.15/10.51 (16513) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 10.15/10.51 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 10.15/10.51 (16514) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 10.15/10.51 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 10.15/10.51 (16515) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 10.15/10.51 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 10.15/10.51 }.
% 10.15/10.51 (16516) {G0,W1,D1,L1,V0,M1} { true }.
% 10.15/10.51 (16517) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 10.15/10.51 (16518) {G0,W5,D3,L1,V0,M1} { geq( minus( n330, n1 ), n0 ) }.
% 10.15/10.51 (16519) {G0,W5,D3,L1,V0,M1} { geq( minus( n410, n1 ), n0 ) }.
% 10.15/10.51 (16520) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 10.15/10.51 (16521) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 10.15/10.51 (16522) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 10.15/10.51 (16523) {G0,W5,D3,L1,V0,M1} { leq( skol29, minus( n0, n1 ) ) }.
% 10.15/10.51 (16524) {G0,W13,D5,L1,V0,M1} { ! a_select3( tptp_const_array2( dim( n0, n3
% 10.15/10.51 ), dim( n0, n2 ), uninit ), skol29, skol15 ) = init }.
% 10.15/10.51 (16525) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 10.15/10.51 (16526) {G0,W3,D2,L1,V0,M1} { gt( n330, n4 ) }.
% 10.15/10.51 (16527) {G0,W3,D2,L1,V0,M1} { gt( n410, n4 ) }.
% 10.15/10.51 (16528) {G0,W3,D2,L1,V0,M1} { gt( n330, n5 ) }.
% 10.15/10.51 (16529) {G0,W3,D2,L1,V0,M1} { gt( n410, n5 ) }.
% 10.15/10.51 (16530) {G0,W3,D2,L1,V0,M1} { gt( n410, n330 ) }.
% 10.15/10.51 (16531) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 10.15/10.51 (16532) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 10.15/10.51 (16533) {G0,W3,D2,L1,V0,M1} { gt( n330, tptp_minus_1 ) }.
% 10.15/10.51 (16534) {G0,W3,D2,L1,V0,M1} { gt( n410, tptp_minus_1 ) }.
% 10.15/10.51 (16535) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 10.15/10.51 (16536) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 10.15/10.51 (16537) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 10.15/10.51 (16538) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 10.15/10.51 (16539) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 10.15/10.51 (16540) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 10.15/10.51 (16541) {G0,W3,D2,L1,V0,M1} { gt( n330, n0 ) }.
% 10.15/10.51 (16542) {G0,W3,D2,L1,V0,M1} { gt( n410, n0 ) }.
% 10.15/10.51 (16543) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 10.15/10.51 (16544) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 10.15/10.51 (16545) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 10.15/10.51 (16546) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 10.15/10.51 (16547) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 10.15/10.51 (16548) {G0,W3,D2,L1,V0,M1} { gt( n330, n1 ) }.
% 10.15/10.51 (16549) {G0,W3,D2,L1,V0,M1} { gt( n410, n1 ) }.
% 10.15/10.51 (16550) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 10.15/10.51 (16551) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 10.15/10.51 (16552) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 10.15/10.51 (16553) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 10.15/10.51 (16554) {G0,W3,D2,L1,V0,M1} { gt( n330, n2 ) }.
% 10.15/10.51 (16555) {G0,W3,D2,L1,V0,M1} { gt( n410, n2 ) }.
% 10.15/10.51 (16556) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 10.15/10.51 (16557) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 10.15/10.51 (16558) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 10.15/10.51 (16559) {G0,W3,D2,L1,V0,M1} { gt( n330, n3 ) }.
% 10.15/10.51 (16560) {G0,W3,D2,L1,V0,M1} { gt( n410, n3 ) }.
% 10.15/10.51 (16561) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 10.15/10.51 n1, X = n2, X = n3, X = n4 }.
% 10.15/10.51 (16562) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 10.15/10.51 n1, X = n2, X = n3, X = n4, X = n5 }.
% 10.15/10.51 (16563) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 10.15/10.51 (16564) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 10.15/10.51 n1 }.
% 10.15/10.51 (16565) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 10.15/10.54 n1, X = n2 }.
% 10.15/10.54 (16566) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 10.15/10.54 n1, X = n2, X = n3 }.
% 10.15/10.54 (16567) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 10.15/10.54 (16568) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 10.15/10.54 n5 }.
% 10.15/10.54 (16569) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 10.15/10.54 (16570) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 10.15/10.54 (16571) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 10.15/10.54
% 10.15/10.54
% 10.15/10.54 Total Proof:
% 10.15/10.54
% 10.15/10.54 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 10.15/10.54 parent0: (16349) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (5) {G0,W6,D2,L2,V2,M2} I { ! lt( X, Y ), gt( Y, X ) }.
% 10.15/10.54 parent0: (16352) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 Y := Y
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 1 ==> 1
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (6) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), lt( X, Y ) }.
% 10.15/10.54 parent0: (16353) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 Y := Y
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 1 ==> 1
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y )
% 10.15/10.54 ) }.
% 10.15/10.54 parent0: (16361) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) )
% 10.15/10.54 }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 Y := Y
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 1 ==> 1
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 10.15/10.54 }.
% 10.15/10.54 parent0: (16362) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X )
% 10.15/10.54 }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 Y := Y
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 1 ==> 1
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.15/10.54 parent0: (16482) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 10.15/10.54 substitution0:
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.15/10.54 parent0: (16493) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 10.15/10.54 parent0: (16494) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 10.15/10.54 parent0: (16522) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 *** allocated 864960 integers for termspace/termends
% 10.15/10.54 paramod: (18992) {G1,W4,D3,L1,V0,M1} { leq( skol29, pred( n0 ) ) }.
% 10.15/10.54 parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 10.15/10.54 parent1[0; 2]: (16523) {G0,W5,D3,L1,V0,M1} { leq( skol29, minus( n0, n1 )
% 10.15/10.54 ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := n0
% 10.15/10.54 end
% 10.15/10.54 substitution1:
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (176) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( skol29, pred( n0 ) )
% 10.15/10.54 }.
% 10.15/10.54 parent0: (18992) {G1,W4,D3,L1,V0,M1} { leq( skol29, pred( n0 ) ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (216) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ),
% 10.15/10.54 X = n0 }.
% 10.15/10.54 parent0: (16563) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X =
% 10.15/10.54 n0 }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 1 ==> 1
% 10.15/10.54 2 ==> 2
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 resolution: (19617) {G1,W3,D2,L1,V1,M1} { ! lt( X, X ) }.
% 10.15/10.54 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 10.15/10.54 parent1[1]: (5) {G0,W6,D2,L2,V2,M2} I { ! lt( X, Y ), gt( Y, X ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 end
% 10.15/10.54 substitution1:
% 10.15/10.54 X := X
% 10.15/10.54 Y := X
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 subsumption: (476) {G1,W3,D2,L1,V1,M1} R(5,2) { ! lt( X, X ) }.
% 10.15/10.54 parent0: (19617) {G1,W3,D2,L1,V1,M1} { ! lt( X, X ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 end
% 10.15/10.54 permutation0:
% 10.15/10.54 0 ==> 0
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 eqswap: (19619) {G0,W5,D4,L1,V1,M1} { X ==> pred( succ( X ) ) }.
% 10.15/10.54 parent0[0]: (147) {G0,W5,D4,L1,V1,M1} I { pred( succ( X ) ) ==> X }.
% 10.15/10.54 substitution0:
% 10.15/10.54 X := X
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 paramod: (19620) {G1,W4,D3,L1,V0,M1} { tptp_minus_1 ==> pred( n0 ) }.
% 10.15/10.54 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 10.15/10.54 parent1[0; 3]: (19619) {G0,W5,D4,L1,V1,M1} { X ==> pred( succ( X ) ) }.
% 10.15/10.54 substitution0:
% 10.15/10.54 end
% 10.15/10.54 substitution1:
% 10.15/10.54 X := tptp_minus_1
% 10.15/10.54 end
% 10.15/10.54
% 10.15/10.54 eqswap: (19621) {G1,W4,D3,L1,V0,M1} { pred( n0 ) ==> tptp_minus_1 }.
% 10.15/10.54 parent0[0]: (19620) {G1,W4,D3,L1,V0,M1} { tptp_minus_1 ==> pred( n0 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 subsumption: (10201) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==>
% 30.73/31.10 tptp_minus_1 }.
% 30.73/31.10 parent0: (19621) {G1,W4,D3,L1,V0,M1} { pred( n0 ) ==> tptp_minus_1 }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 permutation0:
% 30.73/31.10 0 ==> 0
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 paramod: (19623) {G2,W3,D2,L1,V0,M1} { leq( skol29, tptp_minus_1 ) }.
% 30.73/31.10 parent0[0]: (10201) {G1,W4,D3,L1,V0,M1} P(135,147) { pred( n0 ) ==>
% 30.73/31.10 tptp_minus_1 }.
% 30.73/31.10 parent1[0; 2]: (176) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( skol29, pred( n0 )
% 30.73/31.10 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 subsumption: (13188) {G2,W3,D2,L1,V0,M1} S(176);d(10201) { leq( skol29,
% 30.73/31.10 tptp_minus_1 ) }.
% 30.73/31.10 parent0: (19623) {G2,W3,D2,L1,V0,M1} { leq( skol29, tptp_minus_1 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 permutation0:
% 30.73/31.10 0 ==> 0
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 resolution: (19625) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ), skol29
% 30.73/31.10 ) }.
% 30.73/31.10 parent0[0]: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 30.73/31.10 }.
% 30.73/31.10 parent1[0]: (13188) {G2,W3,D2,L1,V0,M1} S(176);d(10201) { leq( skol29,
% 30.73/31.10 tptp_minus_1 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 X := skol29
% 30.73/31.10 Y := tptp_minus_1
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 paramod: (19626) {G1,W3,D2,L1,V0,M1} { gt( n0, skol29 ) }.
% 30.73/31.10 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 30.73/31.10 parent1[0; 1]: (19625) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ),
% 30.73/31.10 skol29 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 subsumption: (13219) {G3,W3,D2,L1,V0,M1} R(13188,15);d(135) { gt( n0,
% 30.73/31.10 skol29 ) }.
% 30.73/31.10 parent0: (19626) {G1,W3,D2,L1,V0,M1} { gt( n0, skol29 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 permutation0:
% 30.73/31.10 0 ==> 0
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 resolution: (19628) {G1,W4,D3,L1,V0,M1} { leq( skol29, succ( tptp_minus_1
% 30.73/31.10 ) ) }.
% 30.73/31.10 parent0[0]: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) )
% 30.73/31.10 }.
% 30.73/31.10 parent1[0]: (13188) {G2,W3,D2,L1,V0,M1} S(176);d(10201) { leq( skol29,
% 30.73/31.10 tptp_minus_1 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 X := skol29
% 30.73/31.10 Y := tptp_minus_1
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 paramod: (19629) {G1,W3,D2,L1,V0,M1} { leq( skol29, n0 ) }.
% 30.73/31.10 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 30.73/31.10 parent1[0; 2]: (19628) {G1,W4,D3,L1,V0,M1} { leq( skol29, succ(
% 30.73/31.10 tptp_minus_1 ) ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 subsumption: (13220) {G3,W3,D2,L1,V0,M1} R(13188,14);d(135) { leq( skol29,
% 30.73/31.10 n0 ) }.
% 30.73/31.10 parent0: (19629) {G1,W3,D2,L1,V0,M1} { leq( skol29, n0 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 permutation0:
% 30.73/31.10 0 ==> 0
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 resolution: (19630) {G1,W3,D2,L1,V0,M1} { lt( skol29, n0 ) }.
% 30.73/31.10 parent0[0]: (6) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), lt( X, Y ) }.
% 30.73/31.10 parent1[0]: (13219) {G3,W3,D2,L1,V0,M1} R(13188,15);d(135) { gt( n0, skol29
% 30.73/31.10 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 X := skol29
% 30.73/31.10 Y := n0
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 subsumption: (15963) {G4,W3,D2,L1,V0,M1} R(13219,6) { lt( skol29, n0 ) }.
% 30.73/31.10 parent0: (19630) {G1,W3,D2,L1,V0,M1} { lt( skol29, n0 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 permutation0:
% 30.73/31.10 0 ==> 0
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 eqswap: (19631) {G0,W9,D2,L3,V1,M3} { n0 = X, ! leq( n0, X ), ! leq( X, n0
% 30.73/31.10 ) }.
% 30.73/31.10 parent0[2]: (216) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), X
% 30.73/31.10 = n0 }.
% 30.73/31.10 substitution0:
% 30.73/31.10 X := X
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 resolution: (19632) {G1,W6,D2,L2,V0,M2} { n0 = skol29, ! leq( n0, skol29 )
% 30.73/31.10 }.
% 30.73/31.10 parent0[2]: (19631) {G0,W9,D2,L3,V1,M3} { n0 = X, ! leq( n0, X ), ! leq( X
% 30.73/31.10 , n0 ) }.
% 30.73/31.10 parent1[0]: (13220) {G3,W3,D2,L1,V0,M1} R(13188,14);d(135) { leq( skol29,
% 30.73/31.10 n0 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 X := skol29
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 resolution: (19633) {G1,W3,D2,L1,V0,M1} { n0 = skol29 }.
% 30.73/31.10 parent0[1]: (19632) {G1,W6,D2,L2,V0,M2} { n0 = skol29, ! leq( n0, skol29 )
% 30.73/31.10 }.
% 30.73/31.10 parent1[0]: (175) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 substitution1:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 eqswap: (19634) {G1,W3,D2,L1,V0,M1} { skol29 = n0 }.
% 30.73/31.10 parent0[0]: (19633) {G1,W3,D2,L1,V0,M1} { n0 = skol29 }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 subsumption: (16016) {G4,W3,D2,L1,V0,M1} R(216,13220);r(175) { skol29 ==>
% 30.73/31.10 n0 }.
% 30.73/31.10 parent0: (19634) {G1,W3,D2,L1,V0,M1} { skol29 = n0 }.
% 30.73/31.10 substitution0:
% 30.73/31.10 end
% 30.73/31.10 permutation0:
% 30.73/31.10 0 ==> 0
% 30.73/31.10 end
% 30.73/31.10
% 30.73/31.10 *** allocated 15000 integers for justifications
% 30.73/31.10 *** allocated 22500 integers for justifications
% 30.73/31.10 *** allocated 33750 integers for justifications
% 30.73/31.10 *** allocated 50625 integers for justifications
% 30.73/31.10 *** alloCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------