TSTP Solution File: SWV135+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 16:22:40 EDT 2022
% Result : Theorem 1.78s 2.15s
% Output : Refutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Tue Jun 14 17:28:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.87/1.23 *** allocated 10000 integers for termspace/termends
% 0.87/1.23 *** allocated 10000 integers for clauses
% 0.87/1.23 *** allocated 10000 integers for justifications
% 0.87/1.23 Bliksem 1.12
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Automatic Strategy Selection
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Clauses:
% 0.87/1.23
% 0.87/1.23 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.87/1.23 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.87/1.23 { ! gt( X, X ) }.
% 0.87/1.23 { leq( X, X ) }.
% 0.87/1.23 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.87/1.23 { ! lt( X, Y ), gt( Y, X ) }.
% 0.87/1.23 { ! gt( Y, X ), lt( X, Y ) }.
% 0.87/1.23 { ! geq( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( Y, X ), geq( X, Y ) }.
% 0.87/1.23 { ! gt( Y, X ), leq( X, Y ) }.
% 0.87/1.23 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.87/1.23 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.87/1.23 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.87/1.23 { gt( succ( X ), X ) }.
% 0.87/1.23 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.87/1.23 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.87/1.23 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.87/1.23 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.87/1.23 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.87/1.23 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.87/1.23 T ), X ) = T }.
% 0.87/1.23 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.87/1.23 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.87/1.23 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.23 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.87/1.23 a_select3( trans( X ), T, Z ) }.
% 0.87/1.23 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.87/1.23 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.23 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.87/1.23 ) }.
% 0.87/1.23 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.87/1.23 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.87/1.23 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.87/1.23 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.23 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.87/1.23 a_select3( inv( X ), T, Z ) }.
% 0.87/1.23 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.87/1.23 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.23 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.87/1.23 .
% 0.87/1.23 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.87/1.23 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.87/1.23 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.87/1.23 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.23 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.87/1.23 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.87/1.23 X, U, U, W ), T, Z ) }.
% 0.87/1.23 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.87/1.23 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.23 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.87/1.23 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.87/1.23 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.87/1.23 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.87/1.23 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.87/1.23 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.87/1.23 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.87/1.23 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.87/1.23 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.87/1.23 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.87/1.23 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.87/1.23 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.87/1.23 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.87/1.23 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.87/1.23 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.87/1.23 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.87/1.23 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.87/1.23 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.87/1.23 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.87/1.23 ( X, Y ) }.
% 0.87/1.23 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.87/1.23 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.87/1.23 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.87/1.23 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.87/1.23 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.87/1.23 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.87/1.23 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.87/1.23 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.87/1.23 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.87/1.23 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.87/1.23 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.87/1.23 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.87/1.23 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.87/1.23 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.87/1.23 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.87/1.23 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.87/1.23 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.87/1.23 ( X, Y ) }.
% 0.87/1.23 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.87/1.23 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.87/1.23 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.87/1.23 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.87/1.23 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.87/1.23 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.87/1.23 U ) ) ), T, Z ) }.
% 0.87/1.23 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.87/1.23 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.87/1.23 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.87/1.23 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.87/1.23 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.87/1.23 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.87/1.23 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.87/1.23 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.87/1.23 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.87/1.23 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.87/1.23 W ) ) ), T, Z ) }.
% 0.87/1.23 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.87/1.23 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.87/1.23 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.87/1.23 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.87/1.23 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.87/1.23 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.87/1.23 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.87/1.23 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.87/1.23 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.87/1.23 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.87/1.23 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.87/1.23 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.87/1.23 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.87/1.23 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.87/1.23 ) }.
% 0.87/1.23 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.87/1.23 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.87/1.23 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.87/1.23 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.87/1.23 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.87/1.23 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.87/1.23 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.87/1.23 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.87/1.23 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.87/1.23 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.87/1.23 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.87/1.23 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.87/1.23 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.87/1.23 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.87/1.23 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.87/1.23 alpha19( X, Y ) }.
% 0.87/1.23 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.87/1.23 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.87/1.23 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.87/1.23 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.87/1.23 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.87/1.23 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.87/1.23 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.87/1.23 ), alpha8( X ) }.
% 0.87/1.23 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.87/1.23 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.87/1.23 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.87/1.23 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.87/1.23 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.87/1.23 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.87/1.23 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.87/1.23 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.87/1.23 { succ( tptp_minus_1 ) = n0 }.
% 0.87/1.23 { plus( X, n1 ) = succ( X ) }.
% 0.87/1.23 { plus( n1, X ) = succ( X ) }.
% 0.87/1.23 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.87/1.23 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.87/1.23 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.87/1.23 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.87/1.23 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.87/1.23 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.87/1.23 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.87/1.23 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.87/1.23 { minus( X, n1 ) = pred( X ) }.
% 0.87/1.23 { pred( succ( X ) ) = X }.
% 0.87/1.23 { succ( pred( X ) ) = X }.
% 0.87/1.23 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.87/1.23 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.87/1.23 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.87/1.23 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.87/1.23 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.87/1.23 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.87/1.23 , Y, V0 ), Z, T ) = W }.
% 0.87/1.23 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.87/1.23 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.87/1.23 }.
% 0.87/1.23 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.87/1.23 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.87/1.23 U, Z, T, W ), X, Y ) = W }.
% 0.87/1.23 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.87/1.23 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.87/1.23 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.87/1.23 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.87/1.23 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.87/1.23 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.87/1.23 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.87/1.23 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.87/1.23 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.87/1.23 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.87/1.23 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.87/1.23 T }.
% 0.87/1.23 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.87/1.23 tptp_update2( Z, Y, T ), X ) = T }.
% 0.87/1.23 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.87/1.23 tptp_update2( Z, Y, T ), X ) = T }.
% 0.87/1.23 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.87/1.23 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.87/1.23 { true }.
% 0.87/1.23 { ! def = use }.
% 0.87/1.23 { leq( n0, s_best7 ) }.
% 0.87/1.23 { leq( n0, s_sworst7 ) }.
% 0.87/1.23 { leq( n0, s_worst7 ) }.
% 0.87/1.23 { leq( n2, pv1325 ) }.
% 0.87/1.23 { leq( s_best7, n3 ) }.
% 0.87/1.23 { leq( s_sworst7, n3 ) }.
% 0.87/1.23 { leq( s_worst7, n3 ) }.
% 0.87/1.23 { leq( pv1325, n3 ) }.
% 0.87/1.23 { ! leq( n0, pv1325 ) }.
% 0.87/1.23 { gt( n5, n4 ) }.
% 0.87/1.23 { gt( n4, tptp_minus_1 ) }.
% 0.87/1.23 { gt( n5, tptp_minus_1 ) }.
% 0.87/1.23 { gt( n0, tptp_minus_1 ) }.
% 0.87/1.23 { gt( n1, tptp_minus_1 ) }.
% 0.87/1.23 { gt( n2, tptp_minus_1 ) }.
% 0.87/1.23 { gt( n3, tptp_minus_1 ) }.
% 0.87/1.23 { gt( n4, n0 ) }.
% 0.87/1.23 { gt( n5, n0 ) }.
% 0.87/1.23 { gt( n1, n0 ) }.
% 0.87/1.23 { gt( n2, n0 ) }.
% 0.87/1.23 { gt( n3, n0 ) }.
% 0.87/1.23 { gt( n4, n1 ) }.
% 0.87/1.23 { gt( n5, n1 ) }.
% 0.87/1.23 { gt( n2, n1 ) }.
% 0.87/1.23 { gt( n3, n1 ) }.
% 0.87/1.23 { gt( n4, n2 ) }.
% 0.87/1.23 { gt( n5, n2 ) }.
% 0.87/1.23 { gt( n3, n2 ) }.
% 0.87/1.23 { gt( n4, n3 ) }.
% 0.87/1.23 { gt( n5, n3 ) }.
% 0.87/1.23 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.87/1.23 .
% 0.87/1.23 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.87/1.23 = n5 }.
% 0.87/1.23 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.87/1.23 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.87/1.23 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.87/1.23 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.87/1.23 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.87/1.23 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.87/1.23 { succ( n0 ) = n1 }.
% 0.87/1.23 { succ( succ( n0 ) ) = n2 }.
% 0.87/1.23 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.87/1.23
% 0.87/1.23 percentage equality = 0.179775, percentage horn = 0.867925
% 0.87/1.23 This is a problem with some equality
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Options Used:
% 0.87/1.23
% 0.87/1.23 useres = 1
% 0.87/1.23 useparamod = 1
% 0.87/1.23 useeqrefl = 1
% 0.87/1.23 useeqfact = 1
% 0.87/1.23 usefactor = 1
% 0.87/1.23 usesimpsplitting = 0
% 0.87/1.23 usesimpdemod = 5
% 0.87/1.23 usesimpres = 3
% 0.87/1.23
% 0.87/1.23 resimpinuse = 1000
% 0.87/1.23 resimpclauses = 20000
% 0.87/1.23 substype = eqrewr
% 0.87/1.23 backwardsubs = 1
% 0.87/1.23 selectoldest = 5
% 0.87/1.23
% 0.87/1.23 litorderings [0] = split
% 0.87/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.23
% 0.87/1.23 termordering = kbo
% 0.87/1.23
% 0.87/1.23 litapriori = 0
% 0.87/1.23 termapriori = 1
% 0.87/1.23 litaposteriori = 0
% 0.87/1.23 termaposteriori = 0
% 0.87/1.23 demodaposteriori = 0
% 0.87/1.23 ordereqreflfact = 0
% 0.87/1.23
% 0.87/1.23 litselect = negord
% 0.87/1.23
% 0.87/1.23 maxweight = 15
% 0.87/1.23 maxdepth = 30000
% 0.87/1.23 maxlength = 115
% 0.87/1.23 maxnrvars = 195
% 0.87/1.23 excuselevel = 1
% 0.87/1.23 increasemaxweight = 1
% 0.87/1.23
% 0.87/1.23 maxselected = 10000000
% 0.87/1.23 maxnrclauses = 10000000
% 0.87/1.23
% 0.87/1.23 showgenerated = 0
% 0.87/1.23 showkept = 0
% 0.87/1.23 showselected = 0
% 0.87/1.23 showdeleted = 0
% 0.87/1.23 showresimp = 1
% 0.87/1.23 showstatus = 2000
% 0.87/1.23
% 0.87/1.23 prologoutput = 0
% 0.87/1.23 nrgoals = 5000000
% 0.87/1.23 totalproof = 1
% 0.87/1.23
% 0.87/1.23 Symbols occurring in the translation:
% 0.87/1.23
% 0.87/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.23 . [1, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.87/1.23 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.87/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.23 gt [37, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.87/1.23 leq [39, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.87/1.23 lt [40, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.87/1.23 geq [41, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.87/1.23 pred [42, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.87/1.23 succ [43, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.87/1.23 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.87/1.23 uniform_int_rnd [46, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.87/1.23 dim [51, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.87/1.23 tptp_const_array1 [52, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.87/1.23 a_select2 [53, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.87/1.23 tptp_const_array2 [59, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.87/1.23 a_select3 [60, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.87/1.23 trans [63, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.87/1.23 inv [64, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.87/1.23 tptp_update3 [67, 4] (w:1, o:156, a:1, s:1, b:0),
% 0.87/1.23 tptp_madd [69, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.87/1.23 tptp_msub [70, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.78/2.15 tptp_mmul [71, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.78/2.15 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.78/2.15 sum [78, 3] (w:1, o:136, a:1, s:1, b:0),
% 1.78/2.15 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.78/2.15 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.78/2.15 plus [81, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.78/2.15 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.78/2.15 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.78/2.15 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.78/2.15 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.78/2.15 minus [86, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.78/2.15 tptp_update2 [91, 3] (w:1, o:140, a:1, s:1, b:0),
% 1.78/2.15 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.78/2.15 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.78/2.15 use [94, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.78/2.15 s_best7 [95, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.78/2.15 s_sworst7 [96, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.78/2.15 s_worst7 [97, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.78/2.15 pv1325 [98, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.78/2.15 alpha1 [99, 2] (w:1, o:120, a:1, s:1, b:1),
% 1.78/2.15 alpha2 [100, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.78/2.15 alpha3 [101, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.78/2.15 alpha4 [102, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.78/2.15 alpha5 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.78/2.15 alpha6 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.78/2.15 alpha7 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.78/2.15 alpha8 [106, 1] (w:1, o:58, a:1, s:1, b:1),
% 1.78/2.15 alpha9 [107, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.78/2.15 alpha10 [108, 3] (w:1, o:141, a:1, s:1, b:1),
% 1.78/2.15 alpha11 [109, 3] (w:1, o:142, a:1, s:1, b:1),
% 1.78/2.15 alpha12 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.78/2.15 alpha13 [111, 2] (w:1, o:121, a:1, s:1, b:1),
% 1.78/2.15 alpha14 [112, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.78/2.15 alpha15 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.78/2.15 alpha16 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.78/2.15 alpha17 [115, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.78/2.15 alpha18 [116, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.78/2.15 alpha19 [117, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.78/2.15 alpha20 [118, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.78/2.15 alpha21 [119, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.78/2.15 alpha22 [120, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.78/2.15 alpha23 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.78/2.15 alpha24 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.78/2.15 alpha25 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.78/2.15 alpha26 [124, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.78/2.15 alpha27 [125, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.78/2.15 alpha28 [126, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.78/2.15 alpha29 [127, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.78/2.15 alpha30 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.78/2.15 skol1 [129, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.78/2.15 skol2 [130, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.78/2.15 skol3 [131, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.78/2.15 skol4 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.78/2.15 skol5 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.78/2.15 skol6 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.78/2.15 skol7 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.78/2.15 skol8 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.78/2.15 skol9 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.78/2.15 skol10 [138, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.78/2.15 skol11 [139, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.78/2.15 skol12 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.78/2.15 skol13 [141, 4] (w:1, o:154, a:1, s:1, b:1),
% 1.78/2.15 skol14 [142, 3] (w:1, o:137, a:1, s:1, b:1),
% 1.78/2.15 skol15 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.78/2.15 skol16 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.78/2.15 skol17 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.78/2.15 skol18 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.78/2.15 skol19 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.78/2.15 skol20 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.78/2.15 skol21 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.78/2.15 skol22 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.78/2.15 skol23 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.78/2.15 skol24 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.78/2.15 skol25 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.78/2.15 skol26 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.78/2.15 skol27 [155, 4] (w:1, o:155, a:1, s:1, b:1),
% 1.78/2.15 skol28 [156, 1] (w:1, o:55, a:1, s:1, b:1).
% 1.78/2.15
% 1.78/2.15
% 1.78/2.15 Starting Search:
% 1.78/2.15
% 1.78/2.15 *** allocated 15000 integers for clauses
% 1.78/2.15 *** allocated 22500 integers for clauses
% 1.78/2.15 *** allocated 15000 integers for termspace/termends
% 1.78/2.15 *** allocated 33750 integers for clauses
% 1.78/2.15 *** allocated 50625 integers for clauses
% 1.78/2.15 *** allocated 22500 integers for termspace/termends
% 1.78/2.15 *** allocated 75937 integers for clauses
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 33750 integers for termspace/termends
% 1.78/2.15 *** allocated 113905 integers for clauses
% 1.78/2.15 *** allocated 50625 integers for termspace/termends
% 1.78/2.15
% 1.78/2.15 Intermediate Status:
% 1.78/2.15 Generated: 8060
% 1.78/2.15 Kept: 2071
% 1.78/2.15 Inuse: 171
% 1.78/2.15 Deleted: 0
% 1.78/2.15 Deletedinuse: 0
% 1.78/2.15
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 170857 integers for clauses
% 1.78/2.15 *** allocated 75937 integers for termspace/termends
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 113905 integers for termspace/termends
% 1.78/2.15 *** allocated 256285 integers for clauses
% 1.78/2.15
% 1.78/2.15 Intermediate Status:
% 1.78/2.15 Generated: 17344
% 1.78/2.15 Kept: 4107
% 1.78/2.15 Inuse: 336
% 1.78/2.15 Deleted: 0
% 1.78/2.15 Deletedinuse: 0
% 1.78/2.15
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 170857 integers for termspace/termends
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 384427 integers for clauses
% 1.78/2.15
% 1.78/2.15 Intermediate Status:
% 1.78/2.15 Generated: 24123
% 1.78/2.15 Kept: 6192
% 1.78/2.15 Inuse: 471
% 1.78/2.15 Deleted: 0
% 1.78/2.15 Deletedinuse: 0
% 1.78/2.15
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 256285 integers for termspace/termends
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15
% 1.78/2.15 Intermediate Status:
% 1.78/2.15 Generated: 31904
% 1.78/2.15 Kept: 8220
% 1.78/2.15 Inuse: 581
% 1.78/2.15 Deleted: 0
% 1.78/2.15 Deletedinuse: 0
% 1.78/2.15
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 576640 integers for clauses
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15
% 1.78/2.15 Intermediate Status:
% 1.78/2.15 Generated: 36833
% 1.78/2.15 Kept: 10298
% 1.78/2.15 Inuse: 741
% 1.78/2.15 Deleted: 0
% 1.78/2.15 Deletedinuse: 0
% 1.78/2.15
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15 *** allocated 384427 integers for termspace/termends
% 1.78/2.15 Resimplifying inuse:
% 1.78/2.15 Done
% 1.78/2.15
% 1.78/2.15
% 1.78/2.15 Bliksems!, er is een bewijs:
% 1.78/2.15 % SZS status Theorem
% 1.78/2.15 % SZS output start Refutation
% 1.78/2.15
% 1.78/2.15 (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 1.78/2.15 (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.78/2.15 (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.78/2.15 }.
% 1.78/2.15 (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.78/2.15 (174) {G0,W3,D2,L1,V0,M1} I { leq( n2, pv1325 ) }.
% 1.78/2.15 (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, pv1325 ) }.
% 1.78/2.15 (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.78/2.15 (210) {G1,W4,D3,L1,V0,M1} I;d(209) { succ( n1 ) ==> n2 }.
% 1.78/2.15 (1347) {G1,W3,D2,L1,V0,M1} R(179,9) { ! gt( pv1325, n0 ) }.
% 1.78/2.15 (1579) {G1,W4,D3,L1,V0,M1} R(174,14) { leq( n2, succ( pv1325 ) ) }.
% 1.78/2.15 (10328) {G2,W3,D2,L1,V0,M1} R(151,1347);d(209) { ! leq( n1, pv1325 ) }.
% 1.78/2.15 (12235) {G3,W0,D0,L0,V0,M0} R(10328,149);d(210);r(1579) { }.
% 1.78/2.15
% 1.78/2.15
% 1.78/2.15 % SZS output end Refutation
% 1.78/2.15 found a proof!
% 1.78/2.15
% 1.78/2.15
% 1.78/2.15 Unprocessed initial clauses:
% 1.78/2.15
% 1.78/2.15 (12237) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.78/2.15 (12238) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.78/2.15 (12239) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.78/2.15 (12240) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.78/2.15 (12241) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.78/2.15 }.
% 1.78/2.15 (12242) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.78/2.15 (12243) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.78/2.15 (12244) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12245) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.78/2.15 (12246) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.78/2.15 (12247) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.78/2.15 (12248) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.78/2.15 (12249) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.78/2.15 (12250) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.78/2.15 (12251) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.78/2.15 (12252) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.78/2.15 (12253) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.78/2.15 (12254) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.78/2.15 , X ) }.
% 1.78/2.15 (12255) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.78/2.15 , X ) ) }.
% 1.78/2.15 (12256) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.78/2.15 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.78/2.15 (12257) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.78/2.15 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.78/2.15 V0 ), X, T ) = V0 }.
% 1.78/2.15 (12258) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.78/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.78/2.15 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.78/2.15 (12259) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.78/2.15 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.78/2.15 = a_select3( trans( X ), T, Z ) }.
% 1.78/2.15 (12260) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.78/2.15 (12261) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12262) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12263) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha10( X, Y, Z ) }.
% 1.78/2.15 (12264) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12265) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12266) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12267) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.78/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.78/2.15 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.78/2.15 (12268) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.78/2.15 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.78/2.15 a_select3( inv( X ), T, Z ) }.
% 1.78/2.15 (12269) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.78/2.15 (12270) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12271) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12272) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha11( X, Y, Z ) }.
% 1.78/2.15 (12273) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12274) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12275) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12276) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.78/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.78/2.15 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.78/2.15 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.78/2.15 (12277) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.78/2.15 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.78/2.15 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.78/2.15 ( X, U, U, W ), T, Z ) }.
% 1.78/2.15 (12278) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.78/2.15 (12279) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12280) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12281) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha12( X, Y, Z ) }.
% 1.78/2.15 (12282) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12283) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12284) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12285) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.78/2.15 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.78/2.15 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.78/2.15 ), U, T ) }.
% 1.78/2.15 (12286) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.78/2.15 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.78/2.15 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.78/2.15 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.78/2.15 (12287) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.78/2.15 (12288) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12289) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12290) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha22( X, Y, Z ) }.
% 1.78/2.15 (12291) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12292) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12293) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12294) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.78/2.15 , skol19( X, Y ) ) }.
% 1.78/2.15 (12295) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.78/2.15 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.78/2.15 }.
% 1.78/2.15 (12296) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.78/2.15 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.78/2.15 (12297) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.78/2.15 (12298) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12299) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12300) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha23( X, Y, Z ) }.
% 1.78/2.15 (12301) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12302) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12303) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12304) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.78/2.15 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.78/2.15 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.78/2.15 ), U, T ) }.
% 1.78/2.15 (12305) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.78/2.15 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.78/2.15 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.78/2.15 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.78/2.15 (12306) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.78/2.15 (12307) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12308) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12309) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha24( X, Y, Z ) }.
% 1.78/2.15 (12310) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12311) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12312) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12313) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.78/2.15 , skol21( X, Y ) ) }.
% 1.78/2.15 (12314) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.78/2.15 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.78/2.15 }.
% 1.78/2.15 (12315) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.78/2.15 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.78/2.15 (12316) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.78/2.15 (12317) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12318) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12319) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha25( X, Y, Z ) }.
% 1.78/2.15 (12320) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12321) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12322) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12323) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.78/2.15 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.78/2.15 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.78/2.15 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.78/2.15 (12324) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.78/2.15 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.15 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.78/2.15 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.78/2.15 ( X, trans( U ) ) ), T, Z ) }.
% 1.78/2.15 (12325) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.78/2.15 (12326) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12327) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12328) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha17( X, Y, Z ) }.
% 1.78/2.15 (12329) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12330) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12331) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12332) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.78/2.15 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.78/2.15 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.78/2.15 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.78/2.15 (12333) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.78/2.15 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.78/2.15 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.78/2.15 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.78/2.15 ( X, trans( W ) ) ), T, Z ) }.
% 1.78/2.15 (12334) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.78/2.15 (12335) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12336) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12337) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha18( X, Y, Z ) }.
% 1.78/2.15 (12338) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12339) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12340) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12341) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.78/2.15 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.78/2.15 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.78/2.15 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.78/2.15 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.78/2.15 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.78/2.15 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.78/2.15 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.78/2.15 (12342) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.78/2.15 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.78/2.15 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.78/2.15 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.78/2.15 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.78/2.15 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.78/2.15 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.78/2.15 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.78/2.15 ) ), W, U ) }.
% 1.78/2.15 (12343) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.78/2.15 (12344) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12345) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12346) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha29( X, Y, Z ) }.
% 1.78/2.15 (12347) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12348) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12349) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12350) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.78/2.15 ), skol25( X, Y ) ) }.
% 1.78/2.15 (12351) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.78/2.15 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.78/2.15 }.
% 1.78/2.15 (12352) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.78/2.15 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.78/2.15 (12353) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.78/2.15 (12354) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12355) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12356) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha30( X, Y, Z ) }.
% 1.78/2.15 (12357) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12358) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12359) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12360) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.78/2.15 skol26( X, Y ) ) }.
% 1.78/2.15 (12361) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.78/2.15 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.78/2.15 (12362) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.78/2.15 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.78/2.15 (12363) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.78/2.15 (12364) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.78/2.15 (12365) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.78/2.15 (12366) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.78/2.15 , X ), alpha28( X, Y, Z ) }.
% 1.78/2.15 (12367) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12368) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.78/2.15 (12369) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12370) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.78/2.15 (12371) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.78/2.15 }.
% 1.78/2.15 (12372) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.78/2.15 (12373) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.78/2.15 (12374) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.78/2.15 (12375) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.78/2.15 (12376) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.78/2.15 (12377) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.78/2.15 }.
% 1.78/2.15 (12378) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.78/2.15 }.
% 1.78/2.15 (12379) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.78/2.15 ) ) ) }.
% 1.78/2.15 (12380) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.78/2.15 ) ) ) }.
% 1.78/2.15 (12381) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.78/2.15 succ( X ) ) ) ) ) }.
% 1.78/2.15 (12382) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.78/2.15 succ( X ) ) ) ) ) }.
% 1.78/2.15 (12383) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.78/2.15 (12384) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.78/2.15 (12385) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.78/2.15 (12386) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.78/2.15 }.
% 1.78/2.15 (12387) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.78/2.15 }.
% 1.78/2.15 (12388) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.78/2.15 (12389) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.78/2.15 (12390) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.78/2.15 ) = T }.
% 1.78/2.15 (12391) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.78/2.15 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.78/2.15 (12392) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.78/2.15 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.78/2.15 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.78/2.15 (12393) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.78/2.15 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.78/2.15 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.78/2.15 (12394) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.78/2.15 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.78/2.15 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.78/2.15 (12395) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.78/2.15 (12396) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.78/2.15 (12397) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.78/2.15 , Y, Z ) }.
% 1.78/2.15 (12398) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.78/2.15 (12399) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.78/2.15 (12400) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.78/2.15 ) }.
% 1.78/2.15 (12401) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.78/2.15 }.
% 1.78/2.15 (12402) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.78/2.15 tptp_update2( Z, X, U ), Y ) = T }.
% 1.78/2.15 (12403) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.78/2.15 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.78/2.15 (12404) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.78/2.15 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.78/2.15 (12405) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.78/2.15 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.78/2.15 }.
% 1.78/2.15 (12406) {G0,W1,D1,L1,V0,M1} { true }.
% 1.78/2.15 (12407) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.78/2.15 (12408) {G0,W3,D2,L1,V0,M1} { leq( n0, s_best7 ) }.
% 1.78/2.18 (12409) {G0,W3,D2,L1,V0,M1} { leq( n0, s_sworst7 ) }.
% 1.78/2.18 (12410) {G0,W3,D2,L1,V0,M1} { leq( n0, s_worst7 ) }.
% 1.78/2.18 (12411) {G0,W3,D2,L1,V0,M1} { leq( n2, pv1325 ) }.
% 1.78/2.18 (12412) {G0,W3,D2,L1,V0,M1} { leq( s_best7, n3 ) }.
% 1.78/2.18 (12413) {G0,W3,D2,L1,V0,M1} { leq( s_sworst7, n3 ) }.
% 1.78/2.18 (12414) {G0,W3,D2,L1,V0,M1} { leq( s_worst7, n3 ) }.
% 1.78/2.18 (12415) {G0,W3,D2,L1,V0,M1} { leq( pv1325, n3 ) }.
% 1.78/2.18 (12416) {G0,W3,D2,L1,V0,M1} { ! leq( n0, pv1325 ) }.
% 1.78/2.18 (12417) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.78/2.18 (12418) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.78/2.18 (12419) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.78/2.18 (12420) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.78/2.18 (12421) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.78/2.18 (12422) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.78/2.18 (12423) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.78/2.18 (12424) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.78/2.18 (12425) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.78/2.18 (12426) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.78/2.18 (12427) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.78/2.18 (12428) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.78/2.18 (12429) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.78/2.18 (12430) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.78/2.18 (12431) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.78/2.18 (12432) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.78/2.18 (12433) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.78/2.18 (12434) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.78/2.18 (12435) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.78/2.18 (12436) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.78/2.18 (12437) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.78/2.18 (12438) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.78/2.18 n1, X = n2, X = n3, X = n4 }.
% 1.78/2.18 (12439) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.78/2.18 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.78/2.18 (12440) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.78/2.18 (12441) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.78/2.18 n1 }.
% 1.78/2.18 (12442) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.78/2.18 n1, X = n2 }.
% 1.78/2.18 (12443) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.78/2.18 n1, X = n2, X = n3 }.
% 1.78/2.18 (12444) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.78/2.18 (12445) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.78/2.18 n5 }.
% 1.78/2.18 (12446) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.78/2.18 (12447) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.78/2.18 (12448) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Total Proof:
% 1.78/2.18
% 1.78/2.18 subsumption: (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 1.78/2.18 parent0: (12246) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 1 ==> 1
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y )
% 1.78/2.18 ) }.
% 1.78/2.18 parent0: (12251) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 1 ==> 1
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ),
% 1.78/2.18 leq( X, Y ) }.
% 1.78/2.18 parent0: (12386) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq
% 1.78/2.18 ( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 1 ==> 1
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X
% 1.78/2.18 ) }.
% 1.78/2.18 parent0: (12388) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := X
% 1.78/2.18 Y := Y
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 1 ==> 1
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 *** allocated 864960 integers for clauses
% 1.78/2.18 subsumption: (174) {G0,W3,D2,L1,V0,M1} I { leq( n2, pv1325 ) }.
% 1.78/2.18 parent0: (12411) {G0,W3,D2,L1,V0,M1} { leq( n2, pv1325 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, pv1325 ) }.
% 1.78/2.18 parent0: (12416) {G0,W3,D2,L1,V0,M1} { ! leq( n0, pv1325 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 *** allocated 576640 integers for termspace/termends
% 1.78/2.18 subsumption: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.78/2.18 parent0: (12446) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (15824) {G1,W4,D3,L1,V0,M1} { succ( n1 ) = n2 }.
% 1.78/2.18 parent0[0]: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.78/2.18 parent1[0; 2]: (12447) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (210) {G1,W4,D3,L1,V0,M1} I;d(209) { succ( n1 ) ==> n2 }.
% 1.78/2.18 parent0: (15824) {G1,W4,D3,L1,V0,M1} { succ( n1 ) = n2 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 resolution: (15826) {G1,W3,D2,L1,V0,M1} { ! gt( pv1325, n0 ) }.
% 1.78/2.18 parent0[0]: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, pv1325 ) }.
% 1.78/2.18 parent1[1]: (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := n0
% 1.78/2.18 Y := pv1325
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (1347) {G1,W3,D2,L1,V0,M1} R(179,9) { ! gt( pv1325, n0 ) }.
% 1.78/2.18 parent0: (15826) {G1,W3,D2,L1,V0,M1} { ! gt( pv1325, n0 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 resolution: (15827) {G1,W4,D3,L1,V0,M1} { leq( n2, succ( pv1325 ) ) }.
% 1.78/2.18 parent0[0]: (14) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), leq( X, succ( Y ) )
% 1.78/2.18 }.
% 1.78/2.18 parent1[0]: (174) {G0,W3,D2,L1,V0,M1} I { leq( n2, pv1325 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 X := n2
% 1.78/2.18 Y := pv1325
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (1579) {G1,W4,D3,L1,V0,M1} R(174,14) { leq( n2, succ( pv1325 )
% 1.78/2.18 ) }.
% 1.78/2.18 parent0: (15827) {G1,W4,D3,L1,V0,M1} { leq( n2, succ( pv1325 ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 resolution: (15829) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), pv1325 ) }.
% 1.78/2.18 parent0[0]: (1347) {G1,W3,D2,L1,V0,M1} R(179,9) { ! gt( pv1325, n0 ) }.
% 1.78/2.18 parent1[1]: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := n0
% 1.78/2.18 Y := pv1325
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (15830) {G1,W3,D2,L1,V0,M1} { ! leq( n1, pv1325 ) }.
% 1.78/2.18 parent0[0]: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.78/2.18 parent1[0; 2]: (15829) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), pv1325 )
% 1.78/2.18 }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (10328) {G2,W3,D2,L1,V0,M1} R(151,1347);d(209) { ! leq( n1,
% 1.78/2.18 pv1325 ) }.
% 1.78/2.18 parent0: (15830) {G1,W3,D2,L1,V0,M1} { ! leq( n1, pv1325 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 0 ==> 0
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 resolution: (15832) {G1,W5,D3,L1,V0,M1} { ! leq( succ( n1 ), succ( pv1325
% 1.78/2.18 ) ) }.
% 1.78/2.18 parent0[0]: (10328) {G2,W3,D2,L1,V0,M1} R(151,1347);d(209) { ! leq( n1,
% 1.78/2.18 pv1325 ) }.
% 1.78/2.18 parent1[1]: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ),
% 1.78/2.18 leq( X, Y ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 X := n1
% 1.78/2.18 Y := pv1325
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 paramod: (15833) {G2,W4,D3,L1,V0,M1} { ! leq( n2, succ( pv1325 ) ) }.
% 1.78/2.18 parent0[0]: (210) {G1,W4,D3,L1,V0,M1} I;d(209) { succ( n1 ) ==> n2 }.
% 1.78/2.18 parent1[0; 2]: (15832) {G1,W5,D3,L1,V0,M1} { ! leq( succ( n1 ), succ(
% 1.78/2.18 pv1325 ) ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 resolution: (15834) {G2,W0,D0,L0,V0,M0} { }.
% 1.78/2.18 parent0[0]: (15833) {G2,W4,D3,L1,V0,M1} { ! leq( n2, succ( pv1325 ) ) }.
% 1.78/2.18 parent1[0]: (1579) {G1,W4,D3,L1,V0,M1} R(174,14) { leq( n2, succ( pv1325 )
% 1.78/2.18 ) }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 substitution1:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 subsumption: (12235) {G3,W0,D0,L0,V0,M0} R(10328,149);d(210);r(1579) { }.
% 1.78/2.18 parent0: (15834) {G2,W0,D0,L0,V0,M0} { }.
% 1.78/2.18 substitution0:
% 1.78/2.18 end
% 1.78/2.18 permutation0:
% 1.78/2.18 end
% 1.78/2.18
% 1.78/2.18 Proof check complete!
% 1.78/2.18
% 1.78/2.18 Memory use:
% 1.78/2.18
% 1.78/2.18 space for terms: 310118
% 1.78/2.18 space for clauses: 544577
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 clauses generated: 44393
% 1.78/2.18 clauses kept: 12236
% 1.78/2.18 clauses selected: 812
% 1.78/2.18 clauses deleted: 13
% 1.78/2.18 clauses inuse deleted: 12
% 1.78/2.18
% 1.78/2.18 subsentry: 209121
% 1.78/2.18 literals s-matched: 64985
% 1.78/2.18 literals matched: 52968
% 1.78/2.18 full subsumption: 36573
% 1.78/2.18
% 1.78/2.18 checksum: 424654671
% 1.78/2.18
% 1.78/2.18
% 1.78/2.18 Bliksem ended
%------------------------------------------------------------------------------