TSTP Solution File: SWV191+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV191+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 16:22:52 EDT 2022
% Result : Theorem 0.83s 1.20s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV191+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 10:03:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.14 *** allocated 10000 integers for termspace/termends
% 0.46/1.14 *** allocated 10000 integers for clauses
% 0.46/1.14 *** allocated 10000 integers for justifications
% 0.46/1.14 Bliksem 1.12
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 Automatic Strategy Selection
% 0.46/1.14
% 0.46/1.14 *** allocated 15000 integers for termspace/termends
% 0.46/1.14
% 0.46/1.14 Clauses:
% 0.46/1.14
% 0.46/1.14 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.46/1.14 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.46/1.14 { ! gt( X, X ) }.
% 0.46/1.14 { leq( X, X ) }.
% 0.46/1.14 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.46/1.14 { ! lt( X, Y ), gt( Y, X ) }.
% 0.46/1.14 { ! gt( Y, X ), lt( X, Y ) }.
% 0.46/1.14 { ! geq( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( Y, X ), geq( X, Y ) }.
% 0.46/1.14 { ! gt( Y, X ), leq( X, Y ) }.
% 0.46/1.14 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.46/1.14 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.46/1.14 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.46/1.14 { gt( succ( X ), X ) }.
% 0.46/1.14 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.46/1.14 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.46/1.14 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.46/1.14 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.46/1.14 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.46/1.14 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.46/1.14 T ), X ) = T }.
% 0.46/1.14 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.46/1.14 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.46/1.14 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.46/1.14 a_select3( trans( X ), T, Z ) }.
% 0.46/1.14 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.46/1.14 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.14 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.46/1.14 ) }.
% 0.46/1.14 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.46/1.14 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.46/1.14 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.46/1.14 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.46/1.14 a_select3( inv( X ), T, Z ) }.
% 0.46/1.14 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.46/1.14 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.14 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.46/1.14 .
% 0.46/1.14 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.46/1.14 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.46/1.14 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.46/1.14 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.14 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.46/1.14 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.46/1.14 X, U, U, W ), T, Z ) }.
% 0.46/1.14 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.46/1.14 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.14 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.46/1.14 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.46/1.14 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.46/1.14 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.46/1.14 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.46/1.14 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.46/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.46/1.14 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.46/1.14 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.46/1.14 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.46/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.46/1.14 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.46/1.14 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.46/1.14 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.46/1.14 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.46/1.14 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.46/1.14 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.46/1.14 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.46/1.14 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.46/1.14 ( X, Y ) }.
% 0.46/1.14 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.46/1.14 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.46/1.14 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.46/1.14 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.46/1.14 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.46/1.14 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.46/1.14 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.46/1.14 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.46/1.14 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.46/1.14 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.46/1.14 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.46/1.14 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.46/1.14 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.46/1.14 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.46/1.14 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.46/1.14 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.46/1.14 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.46/1.14 ( X, Y ) }.
% 0.46/1.14 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.46/1.14 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.46/1.14 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.46/1.14 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.46/1.14 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.46/1.14 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.46/1.14 U ) ) ), T, Z ) }.
% 0.46/1.14 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.46/1.14 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.46/1.14 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.46/1.14 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.46/1.14 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.46/1.14 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.46/1.14 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.46/1.14 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.46/1.14 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.46/1.14 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.46/1.14 W ) ) ), T, Z ) }.
% 0.46/1.14 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.46/1.14 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.46/1.14 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.46/1.14 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.46/1.14 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.46/1.14 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.46/1.14 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.46/1.14 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.46/1.14 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.46/1.14 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.46/1.14 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.46/1.14 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.46/1.14 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.46/1.14 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.46/1.14 ) }.
% 0.46/1.14 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.46/1.14 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.46/1.14 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.46/1.14 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.46/1.14 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.46/1.14 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.46/1.14 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.46/1.14 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.46/1.14 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.46/1.14 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.46/1.14 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.46/1.14 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.46/1.14 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.46/1.14 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.46/1.14 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.46/1.14 alpha19( X, Y ) }.
% 0.46/1.14 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.46/1.14 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.46/1.14 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.46/1.14 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.46/1.14 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.46/1.14 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.46/1.14 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.46/1.14 ), alpha8( X ) }.
% 0.46/1.14 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.46/1.14 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.46/1.14 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.46/1.14 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.46/1.14 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.46/1.14 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.46/1.14 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.46/1.14 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.46/1.14 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.46/1.14 { succ( tptp_minus_1 ) = n0 }.
% 0.46/1.14 { plus( X, n1 ) = succ( X ) }.
% 0.46/1.14 { plus( n1, X ) = succ( X ) }.
% 0.46/1.14 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.46/1.14 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.46/1.14 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.14 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.46/1.14 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.46/1.14 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.46/1.14 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.46/1.14 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.46/1.14 { minus( X, n1 ) = pred( X ) }.
% 0.46/1.14 { pred( succ( X ) ) = X }.
% 0.46/1.15 { succ( pred( X ) ) = X }.
% 0.46/1.15 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.46/1.15 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.46/1.15 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.46/1.15 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.46/1.15 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.46/1.15 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.46/1.15 , Y, V0 ), Z, T ) = W }.
% 0.46/1.15 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.46/1.15 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.46/1.15 }.
% 0.46/1.15 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.46/1.15 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.46/1.15 U, Z, T, W ), X, Y ) = W }.
% 0.46/1.15 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.46/1.15 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.46/1.15 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.46/1.15 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.46/1.15 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.46/1.15 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.46/1.15 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.46/1.15 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.46/1.15 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.46/1.15 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.46/1.15 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.46/1.15 T }.
% 0.46/1.15 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.46/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.15 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.46/1.15 tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.15 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.46/1.15 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.46/1.15 { true }.
% 0.46/1.15 { ! def = use }.
% 0.46/1.15 { a_select2( rho_defuse, n0 ) = use }.
% 0.46/1.15 { a_select2( rho_defuse, n1 ) = use }.
% 0.46/1.15 { a_select2( rho_defuse, n2 ) = use }.
% 0.46/1.15 { a_select2( sigma_defuse, n0 ) = use }.
% 0.46/1.15 { a_select2( sigma_defuse, n1 ) = use }.
% 0.46/1.15 { a_select2( sigma_defuse, n2 ) = use }.
% 0.46/1.15 { a_select2( sigma_defuse, n3 ) = use }.
% 0.46/1.15 { a_select2( sigma_defuse, n4 ) = use }.
% 0.46/1.15 { a_select2( sigma_defuse, n5 ) = use }.
% 0.46/1.15 { a_select3( u_defuse, n0, n0 ) = use }.
% 0.46/1.15 { a_select3( u_defuse, n1, n0 ) = use }.
% 0.46/1.15 { a_select3( u_defuse, n2, n0 ) = use }.
% 0.46/1.15 { a_select2( xinit_defuse, n3 ) = use }.
% 0.46/1.15 { a_select2( xinit_defuse, n4 ) = use }.
% 0.46/1.15 { a_select2( xinit_defuse, n5 ) = use }.
% 0.46/1.15 { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.46/1.15 { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.46/1.15 { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.46/1.15 { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.46/1.15 { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.46/1.15 { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.46/1.15 { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.46/1.15 { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.46/1.15 { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.46/1.15 { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.46/1.15 { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.46/1.15 { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.46/1.15 { leq( n0, skol15 ) }.
% 0.46/1.15 { leq( n0, skol29 ) }.
% 0.46/1.15 { leq( skol15, n2 ) }.
% 0.46/1.15 { leq( skol29, tptp_minus_1 ) }.
% 0.46/1.15 { ! a_select3( z_defuse, skol15, skol29 ) = use }.
% 0.46/1.15 { gt( n5, n4 ) }.
% 0.46/1.15 { gt( n4, tptp_minus_1 ) }.
% 0.46/1.15 { gt( n5, tptp_minus_1 ) }.
% 0.46/1.15 { gt( n0, tptp_minus_1 ) }.
% 0.46/1.15 { gt( n1, tptp_minus_1 ) }.
% 0.46/1.15 { gt( n2, tptp_minus_1 ) }.
% 0.46/1.15 { gt( n3, tptp_minus_1 ) }.
% 0.46/1.15 { gt( n4, n0 ) }.
% 0.46/1.15 { gt( n5, n0 ) }.
% 0.46/1.15 { gt( n1, n0 ) }.
% 0.46/1.15 { gt( n2, n0 ) }.
% 0.46/1.15 { gt( n3, n0 ) }.
% 0.46/1.15 { gt( n4, n1 ) }.
% 0.46/1.15 { gt( n5, n1 ) }.
% 0.46/1.15 { gt( n2, n1 ) }.
% 0.46/1.15 { gt( n3, n1 ) }.
% 0.46/1.15 { gt( n4, n2 ) }.
% 0.46/1.15 { gt( n5, n2 ) }.
% 0.46/1.15 { gt( n3, n2 ) }.
% 0.46/1.15 { gt( n4, n3 ) }.
% 0.46/1.15 { gt( n5, n3 ) }.
% 0.46/1.15 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.46/1.15 .
% 0.46/1.15 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.46/1.15 = n5 }.
% 0.46/1.15 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.46/1.15 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.46/1.15 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.46/1.15 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.46/1.15 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.46/1.15 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.46/1.15 { succ( n0 ) = n1 }.
% 0.46/1.15 { succ( succ( n0 ) ) = n2 }.
% 0.46/1.15 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.46/1.15
% 0.46/1.15 percentage equality = 0.222621, percentage horn = 0.880851
% 0.46/1.15 This is a problem with some equality
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 Options Used:
% 0.46/1.15
% 0.46/1.15 useres = 1
% 0.46/1.15 useparamod = 1
% 0.46/1.15 useeqrefl = 1
% 0.46/1.15 useeqfact = 1
% 0.46/1.15 usefactor = 1
% 0.46/1.15 usesimpsplitting = 0
% 0.46/1.15 usesimpdemod = 5
% 0.46/1.15 usesimpres = 3
% 0.46/1.15
% 0.46/1.15 resimpinuse = 1000
% 0.46/1.15 resimpclauses = 20000
% 0.46/1.15 substype = eqrewr
% 0.46/1.15 backwardsubs = 1
% 0.46/1.15 selectoldest = 5
% 0.46/1.15
% 0.46/1.15 litorderings [0] = split
% 0.46/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.15
% 0.46/1.15 termordering = kbo
% 0.46/1.15
% 0.46/1.15 litapriori = 0
% 0.46/1.15 termapriori = 1
% 0.46/1.15 litaposteriori = 0
% 0.46/1.15 termaposteriori = 0
% 0.46/1.15 demodaposteriori = 0
% 0.46/1.15 ordereqreflfact = 0
% 0.46/1.15
% 0.46/1.15 litselect = negord
% 0.46/1.15
% 0.46/1.15 maxweight = 15
% 0.46/1.15 maxdepth = 30000
% 0.46/1.15 maxlength = 115
% 0.46/1.15 maxnrvars = 195
% 0.46/1.15 excuselevel = 1
% 0.46/1.15 increasemaxweight = 1
% 0.46/1.15
% 0.46/1.15 maxselected = 10000000
% 0.46/1.15 maxnrclauses = 10000000
% 0.46/1.15
% 0.46/1.15 showgenerated = 0
% 0.46/1.15 showkept = 0
% 0.46/1.15 showselected = 0
% 0.46/1.15 showdeleted = 0
% 0.46/1.15 showresimp = 1
% 0.46/1.15 showstatus = 2000
% 0.46/1.15
% 0.46/1.15 prologoutput = 0
% 0.46/1.15 nrgoals = 5000000
% 0.46/1.15 totalproof = 1
% 0.83/1.20
% 0.83/1.20 Symbols occurring in the translation:
% 0.83/1.20
% 0.83/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.20 . [1, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.83/1.20 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 0.83/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.20 gt [37, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.83/1.20 leq [39, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.83/1.20 lt [40, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.83/1.20 geq [41, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.83/1.20 pred [42, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.83/1.20 succ [43, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.83/1.20 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.83/1.20 uniform_int_rnd [46, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.83/1.20 dim [51, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.83/1.20 tptp_const_array1 [52, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.83/1.20 a_select2 [53, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.83/1.20 tptp_const_array2 [59, 3] (w:1, o:143, a:1, s:1, b:0),
% 0.83/1.20 a_select3 [60, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.83/1.20 trans [63, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.83/1.20 inv [64, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.83/1.20 tptp_update3 [67, 4] (w:1, o:161, a:1, s:1, b:0),
% 0.83/1.20 tptp_madd [69, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.83/1.20 tptp_msub [70, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.83/1.20 tptp_mmul [71, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.83/1.20 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.83/1.20 sum [78, 3] (w:1, o:141, a:1, s:1, b:0),
% 0.83/1.20 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.83/1.20 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.83/1.20 plus [81, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.83/1.20 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.83/1.20 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.83/1.20 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.83/1.20 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.83/1.20 minus [86, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.83/1.20 tptp_update2 [91, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.83/1.20 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.83/1.20 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.83/1.20 use [94, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.83/1.20 rho_defuse [95, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.83/1.20 sigma_defuse [96, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.83/1.20 u_defuse [97, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.83/1.20 xinit_defuse [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.83/1.20 xinit_mean_defuse [99, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.83/1.20 xinit_noise_defuse [100, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.83/1.20 z_defuse [101, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.83/1.20 alpha1 [102, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.83/1.20 alpha2 [103, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.83/1.20 alpha3 [104, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.83/1.20 alpha4 [105, 2] (w:1, o:136, a:1, s:1, b:1),
% 0.83/1.20 alpha5 [106, 2] (w:1, o:137, a:1, s:1, b:1),
% 0.83/1.20 alpha6 [107, 2] (w:1, o:138, a:1, s:1, b:1),
% 0.83/1.20 alpha7 [108, 2] (w:1, o:139, a:1, s:1, b:1),
% 0.83/1.20 alpha8 [109, 1] (w:1, o:63, a:1, s:1, b:1),
% 0.83/1.20 alpha9 [110, 2] (w:1, o:140, a:1, s:1, b:1),
% 0.83/1.20 alpha10 [111, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.83/1.20 alpha11 [112, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.83/1.20 alpha12 [113, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.83/1.20 alpha13 [114, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.83/1.20 alpha14 [115, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.83/1.20 alpha15 [116, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.83/1.20 alpha16 [117, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.83/1.20 alpha17 [118, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.83/1.20 alpha18 [119, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.83/1.20 alpha19 [120, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.83/1.20 alpha20 [121, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.83/1.20 alpha21 [122, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.83/1.20 alpha22 [123, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.83/1.20 alpha23 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.83/1.20 alpha24 [125, 3] (w:1, o:154, a:1, s:1, b:1),
% 0.83/1.20 alpha25 [126, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.83/1.20 alpha26 [127, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.83/1.20 alpha27 [128, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.83/1.20 alpha28 [129, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.83/1.20 alpha29 [130, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.83/1.20 alpha30 [131, 3] (w:1, o:158, a:1, s:1, b:1),
% 0.83/1.20 skol1 [132, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.83/1.20 skol2 [133, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.83/1.20 skol3 [134, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.83/1.20 skol4 [135, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.83/1.20 skol5 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.83/1.20 skol6 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.83/1.20 skol7 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.83/1.20 skol8 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.83/1.20 skol9 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.83/1.20 skol10 [141, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.83/1.20 skol11 [142, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.83/1.20 skol12 [143, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.83/1.20 skol13 [144, 4] (w:1, o:159, a:1, s:1, b:1),
% 0.83/1.20 skol14 [145, 3] (w:1, o:142, a:1, s:1, b:1),
% 0.83/1.20 skol15 [146, 0] (w:1, o:33, a:1, s:1, b:1),
% 0.83/1.20 skol16 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.83/1.20 skol17 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.83/1.20 skol18 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.83/1.20 skol19 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.83/1.20 skol20 [151, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.83/1.20 skol21 [152, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.83/1.20 skol22 [153, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.83/1.20 skol23 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.83/1.20 skol24 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.83/1.20 skol25 [156, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.83/1.20 skol26 [157, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.83/1.20 skol27 [158, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.83/1.20 skol28 [159, 4] (w:1, o:160, a:1, s:1, b:1),
% 0.83/1.20 skol29 [160, 0] (w:1, o:34, a:1, s:1, b:1),
% 0.83/1.20 skol30 [161, 1] (w:1, o:60, a:1, s:1, b:1).
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Starting Search:
% 0.83/1.20
% 0.83/1.20 *** allocated 15000 integers for clauses
% 0.83/1.20 *** allocated 22500 integers for clauses
% 0.83/1.20 *** allocated 33750 integers for clauses
% 0.83/1.20 *** allocated 22500 integers for termspace/termends
% 0.83/1.20 *** allocated 50625 integers for clauses
% 0.83/1.20 *** allocated 75937 integers for clauses
% 0.83/1.20 Resimplifying inuse:
% 0.83/1.20 Done
% 0.83/1.20
% 0.83/1.20 *** allocated 33750 integers for termspace/termends
% 0.83/1.20 *** allocated 113905 integers for clauses
% 0.83/1.20
% 0.83/1.20 Bliksems!, er is een bewijs:
% 0.83/1.20 % SZS status Theorem
% 0.83/1.20 % SZS output start Refutation
% 0.83/1.20
% 0.83/1.20 (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.83/1.20 (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.83/1.20 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 0.83/1.20 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.83/1.20 (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.83/1.20 (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 0.83/1.20 (199) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 0.83/1.20 (201) {G0,W3,D2,L1,V0,M1} I { leq( skol29, tptp_minus_1 ) }.
% 0.83/1.20 (1377) {G1,W3,D2,L1,V0,M1} R(201,15);d(135) { gt( n0, skol29 ) }.
% 0.83/1.20 (1390) {G2,W6,D2,L2,V1,M2} R(1377,1) { ! gt( X, n0 ), gt( X, skol29 ) }.
% 0.83/1.20 (1391) {G3,W6,D2,L2,V1,M2} P(10,1377);r(1390) { gt( X, skol29 ), ! leq( n0
% 0.83/1.20 , X ) }.
% 0.83/1.20 (1665) {G4,W6,D2,L2,V1,M2} P(0,199);r(1391) { gt( skol29, X ), gt( X,
% 0.83/1.20 skol29 ) }.
% 0.83/1.20 (1666) {G5,W0,D0,L0,V0,M0} F(1665);r(2) { }.
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 % SZS output end Refutation
% 0.83/1.20 found a proof!
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 Unprocessed initial clauses:
% 0.83/1.20
% 0.83/1.20 (1668) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.83/1.20 (1669) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.83/1.20 (1670) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.83/1.20 (1671) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.83/1.20 (1672) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.83/1.20 (1673) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.83/1.20 (1674) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.83/1.20 (1675) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1676) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.83/1.20 (1677) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.83/1.20 (1678) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.83/1.20 (1679) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.83/1.20 (1680) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.83/1.20 (1681) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.83/1.20 (1682) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.83/1.20 (1683) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.83/1.20 (1684) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.83/1.20 (1685) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 0.83/1.20 , X ) }.
% 0.83/1.20 (1686) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y,
% 0.83/1.20 X ) ) }.
% 0.83/1.20 (1687) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.83/1.20 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.83/1.20 (1688) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 0.83/1.20 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 0.83/1.20 V0 ), X, T ) = V0 }.
% 0.83/1.20 (1689) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 0.83/1.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.83/1.20 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.83/1.20 (1690) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 0.83/1.20 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 0.83/1.20 = a_select3( trans( X ), T, Z ) }.
% 0.83/1.20 (1691) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.83/1.20 (1692) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1693) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1694) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.20 X ), alpha10( X, Y, Z ) }.
% 0.83/1.20 (1695) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1696) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1697) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.83/1.20 }.
% 0.83/1.20 (1698) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 0.83/1.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.83/1.20 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.83/1.20 (1699) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 0.83/1.20 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.83/1.20 a_select3( inv( X ), T, Z ) }.
% 0.83/1.20 (1700) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.83/1.20 (1701) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1702) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1703) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.20 X ), alpha11( X, Y, Z ) }.
% 0.83/1.20 (1704) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1705) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1706) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.83/1.20 }.
% 0.83/1.20 (1707) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 0.83/1.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 0.83/1.20 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.83/1.20 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.83/1.20 (1708) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 0.83/1.20 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 0.83/1.20 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 0.83/1.20 ( X, U, U, W ), T, Z ) }.
% 0.83/1.20 (1709) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.83/1.20 (1710) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1711) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1712) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.20 X ), alpha12( X, Y, Z ) }.
% 0.83/1.20 (1713) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1714) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1715) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.83/1.20 }.
% 0.83/1.20 (1716) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.83/1.20 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.83/1.20 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.83/1.20 ), U, T ) }.
% 0.83/1.20 (1717) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 0.83/1.20 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 0.83/1.20 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.83/1.20 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.83/1.20 (1718) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.83/1.20 (1719) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1720) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1721) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.20 , X ), alpha22( X, Y, Z ) }.
% 0.83/1.20 (1722) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1723) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1724) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1725) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 0.83/1.20 , skol20( X, Y ) ) }.
% 0.83/1.20 (1726) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X,
% 0.83/1.20 Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.83/1.20 (1727) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.83/1.20 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.83/1.20 (1728) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.83/1.20 (1729) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1730) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1731) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.20 , X ), alpha23( X, Y, Z ) }.
% 0.83/1.20 (1732) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1733) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1734) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1735) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.83/1.20 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.83/1.20 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.83/1.20 ), U, T ) }.
% 0.83/1.20 (1736) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 0.83/1.20 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 0.83/1.20 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.83/1.20 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.83/1.20 (1737) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.83/1.20 (1738) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1739) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1740) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.20 , X ), alpha24( X, Y, Z ) }.
% 0.83/1.20 (1741) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1742) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1743) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1744) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 0.83/1.20 , skol22( X, Y ) ) }.
% 0.83/1.20 (1745) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X,
% 0.83/1.20 Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.83/1.20 (1746) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.83/1.20 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.83/1.20 (1747) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.83/1.20 (1748) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1749) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1750) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.20 , X ), alpha25( X, Y, Z ) }.
% 0.83/1.20 (1751) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1752) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1753) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1754) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 0.83/1.20 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.83/1.20 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 0.83/1.20 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.83/1.20 (1755) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 0.83/1.20 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.20 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.83/1.20 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.83/1.20 ( X, trans( U ) ) ), T, Z ) }.
% 0.83/1.20 (1756) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.83/1.20 (1757) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1758) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1759) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.20 X ), alpha17( X, Y, Z ) }.
% 0.83/1.20 (1760) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1761) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1762) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.83/1.20 }.
% 0.83/1.20 (1763) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 0.83/1.20 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 0.83/1.20 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 0.83/1.20 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.83/1.20 (1764) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 0.83/1.20 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 0.83/1.20 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.83/1.20 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.83/1.20 ( X, trans( W ) ) ), T, Z ) }.
% 0.83/1.20 (1765) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.83/1.20 (1766) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1767) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1768) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.83/1.20 X ), alpha18( X, Y, Z ) }.
% 0.83/1.20 (1769) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1770) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1771) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.83/1.20 }.
% 0.83/1.20 (1772) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.83/1.20 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.83/1.20 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.83/1.20 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.83/1.20 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.83/1.20 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.83/1.20 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.83/1.20 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.83/1.20 (1773) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3(
% 0.83/1.20 Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 0.83/1.20 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 0.83/1.20 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 0.83/1.20 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 0.83/1.20 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 0.83/1.20 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 0.83/1.20 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 0.83/1.20 ) ), W, U ) }.
% 0.83/1.20 (1774) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.83/1.20 (1775) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1776) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1777) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.20 , X ), alpha29( X, Y, Z ) }.
% 0.83/1.20 (1778) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1779) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1780) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1781) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 0.83/1.20 ), skol26( X, Y ) ) }.
% 0.83/1.20 (1782) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.83/1.20 , Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 0.83/1.20 }.
% 0.83/1.20 (1783) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.83/1.20 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.83/1.20 (1784) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.83/1.20 (1785) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1786) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1787) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.20 , X ), alpha30( X, Y, Z ) }.
% 0.83/1.20 (1788) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1789) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1790) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1791) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.83/1.20 skol27( X, Y ) ) }.
% 0.83/1.20 (1792) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 0.83/1.20 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.83/1.20 (1793) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3( X
% 0.83/1.20 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.83/1.20 (1794) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.83/1.20 (1795) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.83/1.20 (1796) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.83/1.20 (1797) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.83/1.20 , X ), alpha28( X, Y, Z ) }.
% 0.83/1.20 (1798) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1799) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.83/1.20 (1800) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1801) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.83/1.20 (1802) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.83/1.20 }.
% 0.83/1.20 (1803) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.83/1.20 (1804) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.83/1.20 (1805) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.83/1.20 (1806) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.83/1.20 (1807) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.83/1.20 (1808) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.20 (1809) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.83/1.20 (1810) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.83/1.20 ) ) }.
% 0.83/1.20 (1811) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.83/1.20 ) ) }.
% 0.83/1.20 (1812) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.83/1.20 ( X ) ) ) ) ) }.
% 0.83/1.20 (1813) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.83/1.20 ( X ) ) ) ) ) }.
% 0.83/1.20 (1814) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.83/1.20 (1815) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.83/1.20 (1816) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.83/1.20 (1817) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 0.83/1.20 }.
% 0.83/1.20 (1818) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 0.83/1.20 }.
% 0.83/1.20 (1819) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.83/1.20 (1820) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.83/1.20 (1821) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 0.83/1.20 ) = T }.
% 0.83/1.20 (1822) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.83/1.20 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.83/1.20 (1823) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0
% 0.83/1.20 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.83/1.20 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.20 (1824) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 0.83/1.20 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 0.83/1.20 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.20 (1825) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol28
% 0.83/1.20 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.83/1.20 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.83/1.20 (1826) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.83/1.20 (1827) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.83/1.20 (1828) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 0.83/1.20 , Y, Z ) }.
% 0.83/1.20 (1829) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.83/1.20 (1830) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.83/1.20 (1831) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 0.83/1.20 ) }.
% 0.83/1.20 (1832) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.83/1.20 }.
% 0.83/1.20 (1833) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.83/1.20 tptp_update2( Z, X, U ), Y ) = T }.
% 0.83/1.20 (1834) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 0.83/1.20 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.20 (1835) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 0.83/1.20 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.83/1.20 (1836) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.83/1.20 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.83/1.20 }.
% 0.83/1.20 (1837) {G0,W1,D1,L1,V0,M1} { true }.
% 0.83/1.20 (1838) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.83/1.20 (1839) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n0 ) = use }.
% 0.83/1.20 (1840) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n1 ) = use }.
% 0.83/1.20 (1841) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n2 ) = use }.
% 0.83/1.20 (1842) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n0 ) = use }.
% 0.83/1.20 (1843) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n1 ) = use }.
% 0.83/1.20 (1844) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n2 ) = use }.
% 0.83/1.20 (1845) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n3 ) = use }.
% 0.83/1.20 (1846) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n4 ) = use }.
% 0.83/1.20 (1847) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n5 ) = use }.
% 0.83/1.20 (1848) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n0, n0 ) = use }.
% 0.83/1.20 (1849) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n1, n0 ) = use }.
% 0.83/1.20 (1850) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n2, n0 ) = use }.
% 0.83/1.20 (1851) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n3 ) = use }.
% 0.83/1.20 (1852) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n4 ) = use }.
% 0.83/1.20 (1853) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n5 ) = use }.
% 0.83/1.20 (1854) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.83/1.20 (1855) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.83/1.20 (1856) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.83/1.20 (1857) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.83/1.20 (1858) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.83/1.20 (1859) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.83/1.20 (1860) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.83/1.20 (1861) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.83/1.20 (1862) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.83/1.20 (1863) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.83/1.20 (1864) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.83/1.20 (1865) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.83/1.20 (1866) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 0.83/1.20 (1867) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 0.83/1.20 (1868) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 0.83/1.20 (1869) {G0,W3,D2,L1,V0,M1} { leq( skol29, tptp_minus_1 ) }.
% 0.83/1.20 (1870) {G0,W6,D3,L1,V0,M1} { ! a_select3( z_defuse, skol15, skol29 ) = use
% 0.83/1.20 }.
% 0.83/1.20 (1871) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.83/1.20 (1872) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.83/1.20 (1873) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.83/1.20 (1874) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.83/1.20 (1875) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.83/1.20 (1876) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.83/1.20 (1877) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.83/1.20 (1878) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.83/1.20 (1879) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.83/1.20 (1880) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.83/1.20 (1881) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.83/1.20 (1882) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.83/1.20 (1883) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.83/1.20 (1884) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.83/1.20 (1885) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.83/1.20 (1886) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.83/1.20 (1887) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.83/1.20 (1888) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.83/1.20 (1889) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.83/1.20 (1890) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.83/1.20 (1891) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.83/1.20 (1892) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.83/1.20 n1, X = n2, X = n3, X = n4 }.
% 0.83/1.20 (1893) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.83/1.20 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.83/1.20 (1894) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.83/1.20 (1895) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.83/1.20 n1 }.
% 0.83/1.20 (1896) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.83/1.20 n1, X = n2 }.
% 0.83/1.20 (1897) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.83/1.20 n1, X = n2, X = n3 }.
% 0.83/1.20 (1898) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.83/1.20 (1899) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.83/1.20 n5 }.
% 0.83/1.20 (1900) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.83/1.20 (1901) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.83/1.20 (1902) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 77.93/78.30
% 77.93/78.30
% 77.93/78.30 Total Proof:
% 77.93/78.30
% 77.93/78.30 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 77.93/78.30 parent0: (1668) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := X
% 77.93/78.30 Y := Y
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 1 ==> 1
% 77.93/78.30 2 ==> 2
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 subsumption: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X
% 77.93/78.30 , Y ) }.
% 77.93/78.30 parent0: (1669) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y
% 77.93/78.30 ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := X
% 77.93/78.30 Y := Y
% 77.93/78.30 Z := Z
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 1 ==> 1
% 77.93/78.30 2 ==> 2
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 77.93/78.30 parent0: (1670) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := X
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 77.93/78.30 }.
% 77.93/78.30 parent0: (1678) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := X
% 77.93/78.30 Y := Y
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 1 ==> 1
% 77.93/78.30 2 ==> 2
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 subsumption: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 77.93/78.30 }.
% 77.93/78.30 parent0: (1683) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X )
% 77.93/78.30 }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := X
% 77.93/78.30 Y := Y
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 1 ==> 1
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 *** allocated 50625 integers for termspace/termends
% 77.93/78.30 subsumption: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 77.93/78.30 parent0: (1803) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 77.93/78.30 substitution0:
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 *** allocated 75937 integers for termspace/termends
% 77.93/78.30 subsumption: (199) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 77.93/78.30 parent0: (1867) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 *** allocated 170857 integers for clauses
% 77.93/78.30 *** allocated 113905 integers for termspace/termends
% 77.93/78.30 subsumption: (201) {G0,W3,D2,L1,V0,M1} I { leq( skol29, tptp_minus_1 ) }.
% 77.93/78.30 parent0: (1869) {G0,W3,D2,L1,V0,M1} { leq( skol29, tptp_minus_1 ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 resolution: (3407) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ), skol29
% 77.93/78.30 ) }.
% 77.93/78.30 parent0[0]: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 77.93/78.30 }.
% 77.93/78.30 parent1[0]: (201) {G0,W3,D2,L1,V0,M1} I { leq( skol29, tptp_minus_1 ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := skol29
% 77.93/78.30 Y := tptp_minus_1
% 77.93/78.30 end
% 77.93/78.30 substitution1:
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 paramod: (3408) {G1,W3,D2,L1,V0,M1} { gt( n0, skol29 ) }.
% 77.93/78.30 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 77.93/78.30 parent1[0; 1]: (3407) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ),
% 77.93/78.30 skol29 ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 end
% 77.93/78.30 substitution1:
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 subsumption: (1377) {G1,W3,D2,L1,V0,M1} R(201,15);d(135) { gt( n0, skol29 )
% 77.93/78.30 }.
% 77.93/78.30 parent0: (3408) {G1,W3,D2,L1,V0,M1} { gt( n0, skol29 ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 resolution: (3410) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol29 )
% 77.93/78.30 }.
% 77.93/78.30 parent0[1]: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X,
% 77.93/78.30 Y ) }.
% 77.93/78.30 parent1[0]: (1377) {G1,W3,D2,L1,V0,M1} R(201,15);d(135) { gt( n0, skol29 )
% 77.93/78.30 }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := X
% 77.93/78.30 Y := skol29
% 77.93/78.30 Z := n0
% 77.93/78.30 end
% 77.93/78.30 substitution1:
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 subsumption: (1390) {G2,W6,D2,L2,V1,M2} R(1377,1) { ! gt( X, n0 ), gt( X,
% 77.93/78.30 skol29 ) }.
% 77.93/78.30 parent0: (3410) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol29 ) }.
% 77.93/78.30 substitution0:
% 77.93/78.30 X := X
% 77.93/78.30 end
% 77.93/78.30 permutation0:
% 77.93/78.30 0 ==> 0
% 77.93/78.30 1 ==> 1
% 77.93/78.30 end
% 77.93/78.30
% 77.93/78.30 *** allocated 15000 integers for justifications
% 77.93/78.30 *** allocated 22500 integers for justifications
% 77.93/78.30 *** allocated 170857 integers for termspace/termends
% 77.93/78.30 *** allocated 33750 integers for justifications
% 77.93/78.30 *** allocated 50625 integers for justifications
% 77.93/78.30 *** allocated 256285 integers for clauses
% 77.93/78.30 *** allocated 75937 integers for justifications
% 77.93/78.30 *** allocated 256285 integers for termspace/termends
% 77.93/78.30 *** allocated 113905 integers for justifications
% 77.93/78.30 *** allocated 384427 integers for termspace/termends
% 77.93/78.30 *** allocated 170857 integers for justifications
% 77.93/78.30 *** allocated 384427 integers for clauses
% 77.93/78.30 *** allocated 256285 integers for justifications
% 77.93/78.30 *** allocated 576640 integers for termspace/termends
% 77.93/78.30 *** allocated 576640 integers for clauses
% 77.93/78.30 *** allocated 384427 integers for justifications
% 77.93/78.30 *** allocated 864960 integers for termspace/termends
% 77.93/78.30 *Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------