TSTP Solution File: SWV151+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV151+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:43 EDT 2022
% Result : Theorem 0.75s 1.18s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV151+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 10:35:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12
% 0.71/1.12 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.71/1.12 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.71/1.12 { ! gt( X, X ) }.
% 0.71/1.12 { leq( X, X ) }.
% 0.71/1.12 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.71/1.12 { ! lt( X, Y ), gt( Y, X ) }.
% 0.71/1.12 { ! gt( Y, X ), lt( X, Y ) }.
% 0.71/1.12 { ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.12 { ! gt( Y, X ), leq( X, Y ) }.
% 0.71/1.12 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.71/1.12 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.71/1.12 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.71/1.12 { gt( succ( X ), X ) }.
% 0.71/1.12 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.71/1.12 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.71/1.12 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.71/1.12 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.71/1.12 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.71/1.12 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.71/1.12 T ), X ) = T }.
% 0.71/1.12 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.71/1.12 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.71/1.12 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.71/1.12 a_select3( trans( X ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.71/1.12 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.71/1.12 ) }.
% 0.71/1.12 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.71/1.12 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.71/1.12 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.71/1.12 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.71/1.12 a_select3( inv( X ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.71/1.12 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.71/1.12 .
% 0.71/1.12 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.71/1.12 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.71/1.12 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.71/1.12 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.71/1.12 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.71/1.12 X, U, U, W ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.71/1.12 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.71/1.12 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.71/1.12 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.71/1.12 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.71/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.71/1.12 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.12 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.71/1.12 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.71/1.12 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.12 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.71/1.12 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.71/1.12 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.71/1.12 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.71/1.12 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.71/1.12 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.71/1.12 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.12 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.71/1.12 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.71/1.12 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.71/1.12 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.71/1.12 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.71/1.12 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.71/1.12 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.71/1.12 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.71/1.12 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.71/1.12 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.71/1.12 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.71/1.12 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.71/1.12 U ) ) ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.71/1.12 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.71/1.12 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.71/1.12 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.71/1.12 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.71/1.12 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.71/1.12 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.71/1.12 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.71/1.12 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.71/1.12 W ) ) ), T, Z ) }.
% 0.71/1.12 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.71/1.12 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.71/1.12 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.71/1.12 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.71/1.12 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.71/1.12 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.71/1.12 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.71/1.12 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.71/1.12 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.71/1.12 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.71/1.12 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.71/1.12 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.71/1.12 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.71/1.12 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.71/1.12 ) }.
% 0.71/1.12 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.71/1.12 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.71/1.12 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.71/1.12 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.71/1.12 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.71/1.12 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.71/1.12 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.71/1.12 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.71/1.12 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.71/1.12 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.71/1.12 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.71/1.12 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.71/1.12 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.71/1.12 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.71/1.12 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.71/1.12 alpha19( X, Y ) }.
% 0.71/1.12 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.71/1.12 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.71/1.12 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.71/1.12 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.71/1.12 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.71/1.12 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.71/1.12 { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.71/1.12 ), alpha8( X ) }.
% 0.71/1.12 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.71/1.12 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.71/1.12 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.71/1.12 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.71/1.12 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.71/1.12 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.71/1.12 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.71/1.12 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.71/1.12 { succ( tptp_minus_1 ) = n0 }.
% 0.71/1.12 { plus( X, n1 ) = succ( X ) }.
% 0.71/1.12 { plus( n1, X ) = succ( X ) }.
% 0.71/1.12 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.71/1.12 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.71/1.12 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.12 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.71/1.12 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.12 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.71/1.12 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.12 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.71/1.12 { minus( X, n1 ) = pred( X ) }.
% 0.71/1.12 { pred( succ( X ) ) = X }.
% 0.71/1.12 { succ( pred( X ) ) = X }.
% 0.71/1.12 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.71/1.12 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.71/1.12 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.71/1.12 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.71/1.12 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.71/1.12 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.71/1.12 , Y, V0 ), Z, T ) = W }.
% 0.71/1.12 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.71/1.12 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.71/1.12 }.
% 0.71/1.12 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.71/1.12 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.71/1.12 U, Z, T, W ), X, Y ) = W }.
% 0.71/1.12 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.71/1.12 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.71/1.12 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.71/1.12 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.71/1.12 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.71/1.12 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.71/1.12 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.71/1.14 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.71/1.14 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.71/1.14 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.71/1.14 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.71/1.14 T }.
% 0.71/1.14 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.14 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.71/1.14 tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.14 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.71/1.14 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.71/1.14 { true }.
% 0.71/1.14 { ! def = use }.
% 0.71/1.14 { leq( n0, skol15 ) }.
% 0.71/1.14 { leq( skol15, tptp_minus_1 ) }.
% 0.71/1.14 { ! sum( n0, n4, a_select3( q, skol15, tptp_sum_index ) ) = n1 }.
% 0.71/1.14 { gt( n5, n4 ) }.
% 0.71/1.14 { gt( n4, tptp_minus_1 ) }.
% 0.71/1.14 { gt( n5, tptp_minus_1 ) }.
% 0.71/1.14 { gt( n0, tptp_minus_1 ) }.
% 0.71/1.14 { gt( n1, tptp_minus_1 ) }.
% 0.71/1.14 { gt( n2, tptp_minus_1 ) }.
% 0.71/1.14 { gt( n3, tptp_minus_1 ) }.
% 0.71/1.14 { gt( n4, n0 ) }.
% 0.71/1.14 { gt( n5, n0 ) }.
% 0.71/1.14 { gt( n1, n0 ) }.
% 0.71/1.14 { gt( n2, n0 ) }.
% 0.71/1.14 { gt( n3, n0 ) }.
% 0.71/1.14 { gt( n4, n1 ) }.
% 0.71/1.14 { gt( n5, n1 ) }.
% 0.71/1.14 { gt( n2, n1 ) }.
% 0.71/1.14 { gt( n3, n1 ) }.
% 0.71/1.14 { gt( n4, n2 ) }.
% 0.71/1.14 { gt( n5, n2 ) }.
% 0.71/1.14 { gt( n3, n2 ) }.
% 0.71/1.14 { gt( n4, n3 ) }.
% 0.71/1.14 { gt( n5, n3 ) }.
% 0.71/1.14 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.71/1.14 .
% 0.71/1.14 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.71/1.14 = n5 }.
% 0.71/1.14 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.71/1.14 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.71/1.14 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.71/1.14 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.71/1.14 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.71/1.14 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.71/1.14 { succ( n0 ) = n1 }.
% 0.71/1.14 { succ( succ( n0 ) ) = n2 }.
% 0.71/1.14 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.71/1.14
% 0.71/1.14 percentage equality = 0.183712, percentage horn = 0.864078
% 0.71/1.14 This is a problem with some equality
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Options Used:
% 0.71/1.14
% 0.71/1.14 useres = 1
% 0.71/1.14 useparamod = 1
% 0.71/1.14 useeqrefl = 1
% 0.71/1.14 useeqfact = 1
% 0.71/1.14 usefactor = 1
% 0.71/1.14 usesimpsplitting = 0
% 0.71/1.14 usesimpdemod = 5
% 0.71/1.14 usesimpres = 3
% 0.71/1.14
% 0.71/1.14 resimpinuse = 1000
% 0.71/1.14 resimpclauses = 20000
% 0.71/1.14 substype = eqrewr
% 0.71/1.14 backwardsubs = 1
% 0.71/1.14 selectoldest = 5
% 0.71/1.14
% 0.71/1.14 litorderings [0] = split
% 0.71/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.14
% 0.71/1.14 termordering = kbo
% 0.71/1.14
% 0.71/1.14 litapriori = 0
% 0.71/1.14 termapriori = 1
% 0.71/1.14 litaposteriori = 0
% 0.71/1.14 termaposteriori = 0
% 0.71/1.14 demodaposteriori = 0
% 0.71/1.14 ordereqreflfact = 0
% 0.71/1.14
% 0.71/1.14 litselect = negord
% 0.71/1.14
% 0.71/1.14 maxweight = 15
% 0.71/1.14 maxdepth = 30000
% 0.71/1.14 maxlength = 115
% 0.71/1.14 maxnrvars = 195
% 0.71/1.14 excuselevel = 1
% 0.71/1.14 increasemaxweight = 1
% 0.71/1.14
% 0.71/1.14 maxselected = 10000000
% 0.71/1.14 maxnrclauses = 10000000
% 0.71/1.14
% 0.71/1.14 showgenerated = 0
% 0.71/1.14 showkept = 0
% 0.71/1.14 showselected = 0
% 0.71/1.14 showdeleted = 0
% 0.71/1.14 showresimp = 1
% 0.71/1.14 showstatus = 2000
% 0.71/1.14
% 0.71/1.14 prologoutput = 0
% 0.71/1.14 nrgoals = 5000000
% 0.71/1.14 totalproof = 1
% 0.71/1.14
% 0.71/1.14 Symbols occurring in the translation:
% 0.71/1.14
% 0.71/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.14 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.14 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 0.71/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.14 gt [37, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.71/1.14 leq [39, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.71/1.14 lt [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.71/1.14 geq [41, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.71/1.14 pred [42, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.71/1.14 succ [43, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.14 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.14 uniform_int_rnd [46, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.71/1.14 dim [51, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.71/1.14 tptp_const_array1 [52, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.71/1.14 a_select2 [53, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.71/1.14 tptp_const_array2 [59, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.71/1.14 a_select3 [60, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.71/1.14 trans [63, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.14 inv [64, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.14 tptp_update3 [67, 4] (w:1, o:155, a:1, s:1, b:0),
% 0.71/1.14 tptp_madd [69, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.71/1.14 tptp_msub [70, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.71/1.14 tptp_mmul [71, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.71/1.14 tptp_minus_1 [77, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.75/1.18 sum [78, 3] (w:1, o:135, a:1, s:1, b:0),
% 0.75/1.18 tptp_float_0_0 [79, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.75/1.18 n1 [80, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.75/1.18 plus [81, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.75/1.18 n2 [82, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.75/1.18 n3 [83, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.75/1.18 n4 [84, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.75/1.18 n5 [85, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.75/1.18 minus [86, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.75/1.18 tptp_update2 [91, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.75/1.18 true [92, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.75/1.18 def [93, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.75/1.18 use [94, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.75/1.18 q [95, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.18 tptp_sum_index [96, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.75/1.18 alpha1 [97, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.75/1.18 alpha2 [98, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.75/1.18 alpha3 [99, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.75/1.18 alpha4 [100, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.75/1.18 alpha5 [101, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.75/1.18 alpha6 [102, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.75/1.18 alpha7 [103, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.75/1.18 alpha8 [104, 1] (w:1, o:57, a:1, s:1, b:1),
% 0.75/1.18 alpha9 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.75/1.18 alpha10 [106, 3] (w:1, o:140, a:1, s:1, b:1),
% 0.75/1.18 alpha11 [107, 3] (w:1, o:141, a:1, s:1, b:1),
% 0.75/1.18 alpha12 [108, 3] (w:1, o:142, a:1, s:1, b:1),
% 0.75/1.18 alpha13 [109, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.75/1.18 alpha14 [110, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.75/1.18 alpha15 [111, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.75/1.18 alpha16 [112, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.75/1.18 alpha17 [113, 3] (w:1, o:143, a:1, s:1, b:1),
% 0.75/1.18 alpha18 [114, 3] (w:1, o:144, a:1, s:1, b:1),
% 0.75/1.18 alpha19 [115, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.75/1.18 alpha20 [116, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.75/1.18 alpha21 [117, 3] (w:1, o:145, a:1, s:1, b:1),
% 0.75/1.18 alpha22 [118, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.75/1.18 alpha23 [119, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.75/1.18 alpha24 [120, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.75/1.18 alpha25 [121, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.75/1.18 alpha26 [122, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.75/1.18 alpha27 [123, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.75/1.18 alpha28 [124, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.75/1.18 alpha29 [125, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.75/1.18 alpha30 [126, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.75/1.18 skol1 [127, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.75/1.18 skol2 [128, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.75/1.18 skol3 [129, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.75/1.18 skol4 [130, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.75/1.18 skol5 [131, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.75/1.18 skol6 [132, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.75/1.18 skol7 [133, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.75/1.18 skol8 [134, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.75/1.18 skol9 [135, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.75/1.18 skol10 [136, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.75/1.18 skol11 [137, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.75/1.18 skol12 [138, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.75/1.18 skol13 [139, 4] (w:1, o:153, a:1, s:1, b:1),
% 0.75/1.18 skol14 [140, 3] (w:1, o:136, a:1, s:1, b:1),
% 0.75/1.18 skol15 [141, 0] (w:1, o:32, a:1, s:1, b:1),
% 0.75/1.18 skol16 [142, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.75/1.18 skol17 [143, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.75/1.18 skol18 [144, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.75/1.18 skol19 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.75/1.18 skol20 [146, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.75/1.18 skol21 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.75/1.18 skol22 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.75/1.18 skol23 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.75/1.18 skol24 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.75/1.18 skol25 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.75/1.18 skol26 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.75/1.18 skol27 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.75/1.18 skol28 [154, 4] (w:1, o:154, a:1, s:1, b:1),
% 0.75/1.18 skol29 [155, 1] (w:1, o:54, a:1, s:1, b:1).
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Starting Search:
% 0.75/1.18
% 0.75/1.18 *** allocated 15000 integers for clauses
% 0.75/1.18 *** allocated 22500 integers for clauses
% 0.75/1.18 *** allocated 15000 integers for termspace/termends
% 0.75/1.18 *** allocated 33750 integers for clauses
% 0.75/1.18 *** allocated 50625 integers for clauses
% 0.75/1.18 *** allocated 22500 integers for termspace/termends
% 0.75/1.18 *** allocated 75937 integers for clauses
% 0.75/1.18 Resimplifying inuse:
% 0.75/1.18 Done
% 0.75/1.18
% 0.75/1.18 *** allocated 33750 integers for termspace/termends
% 0.75/1.18 *** allocated 113905 integers for clauses
% 0.75/1.18
% 0.75/1.18 Bliksems!, er is een bewijs:
% 0.75/1.18 % SZS status Theorem
% 0.75/1.18 % SZS output start Refutation
% 0.75/1.18
% 0.75/1.18 (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.75/1.18 (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.75/1.18 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 0.75/1.18 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.75/1.18 (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.75/1.18 (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 0.75/1.18 (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 0.75/1.18 (172) {G0,W3,D2,L1,V0,M1} I { leq( skol15, tptp_minus_1 ) }.
% 0.75/1.18 (1348) {G1,W3,D2,L1,V0,M1} R(172,15);d(135) { gt( n0, skol15 ) }.
% 0.75/1.18 (1361) {G2,W6,D2,L2,V1,M2} R(1348,1) { ! gt( X, n0 ), gt( X, skol15 ) }.
% 0.75/1.18 (1362) {G3,W6,D2,L2,V1,M2} P(10,1348);r(1361) { gt( X, skol15 ), ! leq( n0
% 0.75/1.18 , X ) }.
% 0.75/1.18 (1585) {G4,W6,D2,L2,V1,M2} P(0,171);r(1362) { gt( skol15, X ), gt( X,
% 0.75/1.18 skol15 ) }.
% 0.75/1.18 (1586) {G5,W0,D0,L0,V0,M0} F(1585);r(2) { }.
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 % SZS output end Refutation
% 0.75/1.18 found a proof!
% 0.75/1.18
% 0.75/1.18
% 0.75/1.18 Unprocessed initial clauses:
% 0.75/1.18
% 0.75/1.18 (1588) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.75/1.18 (1589) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.75/1.18 (1590) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.75/1.18 (1591) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.75/1.18 (1592) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.75/1.18 (1593) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.75/1.18 (1594) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.75/1.18 (1595) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1596) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.75/1.18 (1597) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.75/1.18 (1598) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.75/1.18 (1599) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.75/1.18 (1600) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.75/1.18 (1601) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.75/1.18 (1602) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.75/1.18 (1603) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.75/1.18 (1604) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.75/1.18 (1605) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 0.75/1.18 , X ) }.
% 0.75/1.18 (1606) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y,
% 0.75/1.18 X ) ) }.
% 0.75/1.18 (1607) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.75/1.18 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.75/1.18 (1608) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 0.75/1.18 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 0.75/1.18 V0 ), X, T ) = V0 }.
% 0.75/1.18 (1609) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 0.75/1.18 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.75/1.18 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.75/1.18 (1610) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 0.75/1.18 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.18 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 0.75/1.18 = a_select3( trans( X ), T, Z ) }.
% 0.75/1.18 (1611) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.75/1.18 (1612) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1613) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1614) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.18 X ), alpha10( X, Y, Z ) }.
% 0.75/1.18 (1615) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1616) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1617) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.75/1.18 }.
% 0.75/1.18 (1618) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 0.75/1.18 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.75/1.18 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.75/1.18 (1619) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 0.75/1.18 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.18 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.75/1.18 a_select3( inv( X ), T, Z ) }.
% 0.75/1.18 (1620) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.75/1.18 (1621) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1622) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1623) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.18 X ), alpha11( X, Y, Z ) }.
% 0.75/1.18 (1624) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1625) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1626) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.75/1.18 }.
% 0.75/1.18 (1627) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 0.75/1.18 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 0.75/1.18 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.75/1.18 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.75/1.18 (1628) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 0.75/1.18 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.18 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 0.75/1.18 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 0.75/1.18 ( X, U, U, W ), T, Z ) }.
% 0.75/1.18 (1629) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.75/1.18 (1630) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1631) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1632) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.18 X ), alpha12( X, Y, Z ) }.
% 0.75/1.18 (1633) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1634) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1635) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.75/1.18 }.
% 0.75/1.18 (1636) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.75/1.18 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.75/1.18 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.75/1.18 ), U, T ) }.
% 0.75/1.18 (1637) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 0.75/1.18 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 0.75/1.18 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.75/1.18 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.75/1.18 (1638) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.75/1.18 (1639) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1640) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1641) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.18 , X ), alpha22( X, Y, Z ) }.
% 0.75/1.18 (1642) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1643) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1644) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1645) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 0.75/1.18 , skol20( X, Y ) ) }.
% 0.75/1.18 (1646) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X,
% 0.75/1.18 Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.75/1.18 (1647) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.75/1.18 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.75/1.18 (1648) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.75/1.18 (1649) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1650) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1651) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.18 , X ), alpha23( X, Y, Z ) }.
% 0.75/1.18 (1652) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1653) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1654) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1655) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.75/1.18 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.75/1.18 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.75/1.18 ), U, T ) }.
% 0.75/1.18 (1656) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 0.75/1.18 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 0.75/1.18 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.75/1.18 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.75/1.18 (1657) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.75/1.18 (1658) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1659) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1660) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.18 , X ), alpha24( X, Y, Z ) }.
% 0.75/1.18 (1661) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1662) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1663) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1664) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 0.75/1.18 , skol22( X, Y ) ) }.
% 0.75/1.18 (1665) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X,
% 0.75/1.18 Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.75/1.18 (1666) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.75/1.18 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.75/1.18 (1667) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.75/1.18 (1668) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1669) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1670) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.18 , X ), alpha25( X, Y, Z ) }.
% 0.75/1.18 (1671) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1672) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1673) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1674) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 0.75/1.18 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.75/1.18 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 0.75/1.18 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.75/1.18 (1675) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 0.75/1.18 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.18 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.75/1.18 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.75/1.18 ( X, trans( U ) ) ), T, Z ) }.
% 0.75/1.18 (1676) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.75/1.18 (1677) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1678) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1679) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.18 X ), alpha17( X, Y, Z ) }.
% 0.75/1.18 (1680) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1681) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1682) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.75/1.18 }.
% 0.75/1.18 (1683) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 0.75/1.18 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 0.75/1.18 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 0.75/1.18 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.75/1.18 (1684) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 0.75/1.18 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.18 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.75/1.18 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.75/1.18 ( X, trans( W ) ) ), T, Z ) }.
% 0.75/1.18 (1685) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.75/1.18 (1686) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1687) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1688) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.18 X ), alpha18( X, Y, Z ) }.
% 0.75/1.18 (1689) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1690) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1691) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.75/1.18 }.
% 0.75/1.18 (1692) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.75/1.18 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.75/1.18 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.75/1.18 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.75/1.18 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.75/1.18 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.75/1.18 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.75/1.18 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.75/1.18 (1693) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3(
% 0.75/1.18 Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 0.75/1.18 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 0.75/1.18 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 0.75/1.18 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 0.75/1.18 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 0.75/1.18 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 0.75/1.18 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 0.75/1.18 ) ), W, U ) }.
% 0.75/1.18 (1694) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.75/1.18 (1695) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1696) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1697) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.18 , X ), alpha29( X, Y, Z ) }.
% 0.75/1.18 (1698) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1699) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1700) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1701) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 0.75/1.18 ), skol26( X, Y ) ) }.
% 0.75/1.18 (1702) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.75/1.18 , Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 0.75/1.18 }.
% 0.75/1.18 (1703) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.75/1.18 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.75/1.18 (1704) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.75/1.18 (1705) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1706) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1707) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.18 , X ), alpha30( X, Y, Z ) }.
% 0.75/1.18 (1708) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1709) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1710) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1711) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.75/1.18 skol27( X, Y ) ) }.
% 0.75/1.18 (1712) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 0.75/1.18 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.75/1.18 (1713) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol29( X ), Y, Z ), a_select3( X
% 0.75/1.18 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.75/1.18 (1714) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.75/1.18 (1715) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.18 (1716) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.18 (1717) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.18 , X ), alpha28( X, Y, Z ) }.
% 0.75/1.18 (1718) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1719) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.75/1.18 (1720) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1721) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.75/1.18 (1722) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.75/1.18 }.
% 0.75/1.18 (1723) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.75/1.18 (1724) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.75/1.18 (1725) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.75/1.18 (1726) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.75/1.18 (1727) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.75/1.18 (1728) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.18 (1729) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.18 (1730) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.75/1.18 ) ) }.
% 0.75/1.18 (1731) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.75/1.18 ) ) }.
% 0.75/1.18 (1732) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.75/1.18 ( X ) ) ) ) ) }.
% 0.75/1.18 (1733) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.75/1.18 ( X ) ) ) ) ) }.
% 0.75/1.18 (1734) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.75/1.18 (1735) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.75/1.18 (1736) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.75/1.18 (1737) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 0.75/1.18 }.
% 0.75/1.18 (1738) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 0.75/1.18 }.
% 0.75/1.18 (1739) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.75/1.18 (1740) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.75/1.18 (1741) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 0.75/1.18 ) = T }.
% 0.75/1.18 (1742) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.75/1.18 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.75/1.18 (1743) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0
% 0.75/1.18 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.75/1.18 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.18 (1744) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 0.75/1.18 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 0.75/1.18 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.18 (1745) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol28
% 0.75/1.18 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.75/1.18 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.18 (1746) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.75/1.18 (1747) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.75/1.18 (1748) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 0.75/1.18 , Y, Z ) }.
% 0.75/1.18 (1749) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.75/1.18 (1750) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.75/1.18 (1751) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 0.75/1.18 ) }.
% 0.75/1.18 (1752) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.75/1.18 }.
% 0.75/1.18 (1753) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.75/1.18 tptp_update2( Z, X, U ), Y ) = T }.
% 0.75/1.18 (1754) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 0.75/1.18 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.18 (1755) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 0.75/1.18 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.18 (1756) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.75/1.18 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.75/1.18 }.
% 0.75/1.18 (1757) {G0,W1,D1,L1,V0,M1} { true }.
% 0.75/1.18 (1758) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.75/1.18 (1759) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 0.75/1.18 (1760) {G0,W3,D2,L1,V0,M1} { leq( skol15, tptp_minus_1 ) }.
% 0.75/1.18 (1761) {G0,W9,D4,L1,V0,M1} { ! sum( n0, n4, a_select3( q, skol15,
% 0.75/1.18 tptp_sum_index ) ) = n1 }.
% 0.75/1.18 (1762) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.75/1.18 (1763) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.75/1.18 (1764) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.75/1.18 (1765) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.75/1.18 (1766) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.75/1.18 (1767) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.75/1.18 (1768) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.75/1.18 (1769) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.75/1.18 (1770) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.75/1.18 (1771) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.75/1.18 (1772) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.75/1.18 (1773) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.75/1.18 (1774) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.75/1.18 (1775) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.75/1.18 (1776) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.75/1.18 (1777) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.75/1.18 (1778) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.75/1.18 (1779) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.75/1.18 (1780) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.75/1.18 (1781) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.75/1.18 (1782) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.75/1.18 (1783) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.75/1.18 n1, X = n2, X = n3, X = n4 }.
% 0.75/1.18 (1784) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.75/1.18 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.75/1.18 (1785) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.75/1.18 (1786) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 2.34/2.74 n1 }.
% 2.34/2.74 (1787) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 2.34/2.74 n1, X = n2 }.
% 2.34/2.74 (1788) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 2.34/2.74 n1, X = n2, X = n3 }.
% 2.34/2.74 (1789) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 2.34/2.74 (1790) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 2.34/2.74 n5 }.
% 2.34/2.74 (1791) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 2.34/2.74 (1792) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 2.34/2.74 (1793) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 2.34/2.74
% 2.34/2.74
% 2.34/2.74 Total Proof:
% 2.34/2.74
% 2.34/2.74 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 2.34/2.74 parent0: (1588) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 2.34/2.74 substitution0:
% 2.34/2.74 X := X
% 2.34/2.74 Y := Y
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 1 ==> 1
% 2.34/2.74 2 ==> 2
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 subsumption: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X
% 2.34/2.74 , Y ) }.
% 2.34/2.74 parent0: (1589) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y
% 2.34/2.74 ) }.
% 2.34/2.74 substitution0:
% 2.34/2.74 X := X
% 2.34/2.74 Y := Y
% 2.34/2.74 Z := Z
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 1 ==> 1
% 2.34/2.74 2 ==> 2
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 2.34/2.74 parent0: (1590) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 2.34/2.74 substitution0:
% 2.34/2.74 X := X
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 2.34/2.74 }.
% 2.34/2.74 parent0: (1598) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 2.34/2.74 substitution0:
% 2.34/2.74 X := X
% 2.34/2.74 Y := Y
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 1 ==> 1
% 2.34/2.74 2 ==> 2
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 subsumption: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 2.34/2.74 }.
% 2.34/2.74 parent0: (1603) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X )
% 2.34/2.74 }.
% 2.34/2.74 substitution0:
% 2.34/2.74 X := X
% 2.34/2.74 Y := Y
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 1 ==> 1
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 *** allocated 50625 integers for termspace/termends
% 2.34/2.74 subsumption: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 2.34/2.74 parent0: (1723) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 2.34/2.74 substitution0:
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 *** allocated 75937 integers for termspace/termends
% 2.34/2.74 subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 2.34/2.74 parent0: (1759) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 2.34/2.74 substitution0:
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 *** allocated 170857 integers for clauses
% 2.34/2.74 *** allocated 113905 integers for termspace/termends
% 2.34/2.74 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( skol15, tptp_minus_1 ) }.
% 2.34/2.74 parent0: (1760) {G0,W3,D2,L1,V0,M1} { leq( skol15, tptp_minus_1 ) }.
% 2.34/2.74 substitution0:
% 2.34/2.74 end
% 2.34/2.74 permutation0:
% 2.34/2.74 0 ==> 0
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 resolution: (3244) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ), skol15
% 2.34/2.74 ) }.
% 2.34/2.74 parent0[0]: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 2.34/2.74 }.
% 2.34/2.74 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( skol15, tptp_minus_1 ) }.
% 2.34/2.74 substitution0:
% 2.34/2.74 X := skol15
% 2.34/2.74 Y := tptp_minus_1
% 2.34/2.74 end
% 2.34/2.74 substitution1:
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 paramod: (3245) {G1,W3,D2,L1,V0,M1} { gt( n0, skol15 ) }.
% 2.34/2.74 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 2.34/2.74 parent1[0; 1]: (3244) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ),
% 2.34/2.74 skol15 ) }.
% 2.34/2.74 substitution0:
% 2.34/2.74 end
% 2.34/2.74 substitution1:
% 2.34/2.74 end
% 2.34/2.74
% 2.34/2.74 subsumption: (1348) {G1,W3,D2,L1,V0,M1} R(172,15);d(135) { gt( n0, skol15 )
% 2.34/2.75 }.
% 2.34/2.75 parent0: (3245) {G1,W3,D2,L1,V0,M1} { gt( n0, skol15 ) }.
% 2.34/2.75 substitution0:
% 2.34/2.75 end
% 2.34/2.75 permutation0:
% 2.34/2.75 0 ==> 0
% 2.34/2.75 end
% 2.34/2.75
% 2.34/2.75 resolution: (3247) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol15 )
% 2.34/2.75 }.
% 2.34/2.75 parent0[1]: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X,
% 2.34/2.75 Y ) }.
% 2.34/2.75 parent1[0]: (1348) {G1,W3,D2,L1,V0,M1} R(172,15);d(135) { gt( n0, skol15 )
% 2.34/2.75 }.
% 2.34/2.75 substitution0:
% 2.34/2.75 X := X
% 2.34/2.75 Y := skol15
% 2.34/2.75 Z := n0
% 2.34/2.75 end
% 2.34/2.75 substitution1:
% 2.34/2.75 end
% 2.34/2.75
% 2.34/2.75 subsumption: (1361) {G2,W6,D2,L2,V1,M2} R(1348,1) { ! gt( X, n0 ), gt( X,
% 2.34/2.75 skol15 ) }.
% 2.34/2.75 parent0: (3247) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol15 ) }.
% 2.34/2.75 substitution0:
% 2.34/2.75 X := X
% 2.34/2.75 end
% 2.34/2.75 permutation0:
% 2.34/2.75 0 ==> 0
% 2.34/2.75 1 ==> 1
% 2.34/2.75 end
% 2.34/2.75
% 2.34/2.75 *** allocated 15000 integers for justifications
% 2.34/2.75 *** allocated 22500 integers for justifications
% 2.34/2.75 *** allocated 170857 integers for termspace/termends
% 2.34/2.75 *** allocated 33750 integers for justifications
% 2.34/2.75 *** allocated 50625 integers for justifications
% 2.34/2.75 *** allocated 256285 integers for clauses
% 2.34/2.75 *** aCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------