TSTP Solution File: SWV190+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV190+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 0.75s 1.21s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV190+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.02/0.11 % Command : bliksem %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % DateTime : Tue Jun 14 21:04:44 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.75/1.16 *** allocated 10000 integers for termspace/termends
% 0.75/1.16 *** allocated 10000 integers for clauses
% 0.75/1.16 *** allocated 10000 integers for justifications
% 0.75/1.16 Bliksem 1.12
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Automatic Strategy Selection
% 0.75/1.16
% 0.75/1.16 *** allocated 15000 integers for termspace/termends
% 0.75/1.16
% 0.75/1.16 Clauses:
% 0.75/1.16
% 0.75/1.16 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.75/1.16 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.75/1.16 { ! gt( X, X ) }.
% 0.75/1.16 { leq( X, X ) }.
% 0.75/1.16 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.75/1.16 { ! lt( X, Y ), gt( Y, X ) }.
% 0.75/1.16 { ! gt( Y, X ), lt( X, Y ) }.
% 0.75/1.16 { ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( Y, X ), geq( X, Y ) }.
% 0.75/1.16 { ! gt( Y, X ), leq( X, Y ) }.
% 0.75/1.16 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.75/1.16 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.75/1.16 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.75/1.16 { gt( succ( X ), X ) }.
% 0.75/1.16 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.75/1.16 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.75/1.16 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.75/1.16 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.75/1.16 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.75/1.16 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.75/1.16 T ), X ) = T }.
% 0.75/1.16 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.75/1.16 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.75/1.16 { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.75/1.16 a_select3( trans( X ), T, Z ) }.
% 0.75/1.16 { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.75/1.16 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.75/1.16 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.75/1.16 ) }.
% 0.75/1.16 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.75/1.16 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.75/1.16 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.75/1.16 { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.75/1.16 a_select3( inv( X ), T, Z ) }.
% 0.75/1.16 { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.75/1.16 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.75/1.16 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.75/1.16 .
% 0.75/1.16 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.75/1.16 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.75/1.16 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.75/1.16 { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.16 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.75/1.16 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.75/1.16 X, U, U, W ), T, Z ) }.
% 0.75/1.16 { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.75/1.16 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.75/1.16 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.75/1.16 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.75/1.16 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.75/1.16 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.75/1.16 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.75/1.16 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.75/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.75/1.16 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.75/1.16 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) =
% 0.75/1.16 a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.75/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.75/1.16 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.75/1.16 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.75/1.16 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.75/1.16 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.75/1.16 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.75/1.16 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) =
% 0.75/1.16 a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.75/1.16 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.75/1.16 ( X, Y ) }.
% 0.75/1.16 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.75/1.16 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.75/1.16 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.75/1.16 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.75/1.16 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.75/1.16 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.75/1.16 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) =
% 0.75/1.16 a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.75/1.16 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.75/1.16 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.75/1.16 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.75/1.16 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.75/1.16 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.75/1.16 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.75/1.16 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) =
% 0.75/1.16 a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.75/1.16 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.75/1.16 ( X, Y ) }.
% 0.75/1.16 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.75/1.16 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.75/1.16 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.75/1.16 { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.16 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.75/1.16 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.75/1.16 U ) ) ), T, Z ) }.
% 0.75/1.16 { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.75/1.16 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.75/1.16 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.75/1.16 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.75/1.16 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.75/1.16 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.75/1.16 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.75/1.16 { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.75/1.16 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.75/1.16 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.75/1.16 W ) ) ), T, Z ) }.
% 0.75/1.16 { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.75/1.16 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.75/1.16 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.75/1.16 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.75/1.16 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.75/1.16 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.75/1.16 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.75/1.16 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.75/1.16 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.75/1.16 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.75/1.16 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.75/1.16 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.75/1.16 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.75/1.16 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.75/1.16 ) }.
% 0.75/1.16 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z,
% 0.75/1.16 T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.75/1.16 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.75/1.16 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.75/1.16 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.75/1.16 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.75/1.16 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.75/1.16 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.75/1.16 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.75/1.16 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.75/1.16 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.75/1.16 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.75/1.16 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) =
% 0.75/1.16 a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.75/1.16 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.75/1.16 alpha19( X, Y ) }.
% 0.75/1.16 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.75/1.16 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.75/1.16 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.75/1.16 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.75/1.16 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) =
% 0.75/1.16 a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.75/1.16 { ! alpha28( skol30( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.75/1.16 ), alpha8( X ) }.
% 0.75/1.16 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.75/1.16 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.16 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.16 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.75/1.16 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.75/1.16 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.75/1.16 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.75/1.16 { succ( tptp_minus_1 ) = n0 }.
% 0.75/1.16 { plus( X, n1 ) = succ( X ) }.
% 0.75/1.16 { plus( n1, X ) = succ( X ) }.
% 0.75/1.16 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.75/1.16 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.75/1.16 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.16 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.16 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.75/1.16 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.75/1.16 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.16 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.16 { minus( X, n1 ) = pred( X ) }.
% 0.75/1.16 { pred( succ( X ) ) = X }.
% 0.75/1.16 { succ( pred( X ) ) = X }.
% 0.75/1.16 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.75/1.16 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.75/1.16 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.75/1.16 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.75/1.16 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.75/1.16 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.75/1.16 , Y, V0 ), Z, T ) = W }.
% 0.75/1.16 { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.75/1.16 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.75/1.16 }.
% 0.75/1.16 { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.75/1.16 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.75/1.16 U, Z, T, W ), X, Y ) = W }.
% 0.75/1.16 { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq(
% 0.75/1.16 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.75/1.16 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.16 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.75/1.16 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.75/1.16 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.75/1.16 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.75/1.16 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.75/1.16 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.75/1.16 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.75/1.16 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.75/1.16 T }.
% 0.75/1.16 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.75/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.16 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.75/1.16 tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.16 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.75/1.16 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.16 { true }.
% 0.75/1.16 { ! def = use }.
% 0.75/1.16 { a_select2( rho_defuse, n0 ) = use }.
% 0.75/1.16 { a_select2( rho_defuse, n1 ) = use }.
% 0.75/1.16 { a_select2( rho_defuse, n2 ) = use }.
% 0.75/1.16 { a_select2( sigma_defuse, n0 ) = use }.
% 0.75/1.16 { a_select2( sigma_defuse, n1 ) = use }.
% 0.75/1.16 { a_select2( sigma_defuse, n2 ) = use }.
% 0.75/1.16 { a_select2( sigma_defuse, n3 ) = use }.
% 0.75/1.16 { a_select2( sigma_defuse, n4 ) = use }.
% 0.75/1.16 { a_select2( sigma_defuse, n5 ) = use }.
% 0.75/1.16 { a_select3( u_defuse, n0, n0 ) = use }.
% 0.75/1.16 { a_select3( u_defuse, n1, n0 ) = use }.
% 0.75/1.16 { a_select3( u_defuse, n2, n0 ) = use }.
% 0.75/1.16 { a_select2( xinit_defuse, n3 ) = use }.
% 0.75/1.16 { a_select2( xinit_defuse, n4 ) = use }.
% 0.75/1.16 { a_select2( xinit_defuse, n5 ) = use }.
% 0.75/1.16 { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.75/1.16 { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.75/1.16 { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.75/1.16 { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.75/1.16 { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.75/1.16 { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.75/1.16 { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.75/1.16 { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.75/1.16 { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.75/1.16 { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.75/1.16 { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.75/1.16 { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.75/1.16 { leq( n0, skol15 ) }.
% 0.75/1.16 { leq( n0, skol29 ) }.
% 0.75/1.16 { leq( skol15, n2 ) }.
% 0.75/1.16 { leq( skol29, tptp_minus_1 ) }.
% 0.75/1.16 { ! a_select3( u_defuse, skol15, skol29 ) = use }.
% 0.75/1.16 { gt( n5, n4 ) }.
% 0.75/1.16 { gt( n4, tptp_minus_1 ) }.
% 0.75/1.16 { gt( n5, tptp_minus_1 ) }.
% 0.75/1.16 { gt( n0, tptp_minus_1 ) }.
% 0.75/1.16 { gt( n1, tptp_minus_1 ) }.
% 0.75/1.16 { gt( n2, tptp_minus_1 ) }.
% 0.75/1.16 { gt( n3, tptp_minus_1 ) }.
% 0.75/1.16 { gt( n4, n0 ) }.
% 0.75/1.16 { gt( n5, n0 ) }.
% 0.75/1.16 { gt( n1, n0 ) }.
% 0.75/1.16 { gt( n2, n0 ) }.
% 0.75/1.16 { gt( n3, n0 ) }.
% 0.75/1.16 { gt( n4, n1 ) }.
% 0.75/1.16 { gt( n5, n1 ) }.
% 0.75/1.16 { gt( n2, n1 ) }.
% 0.75/1.16 { gt( n3, n1 ) }.
% 0.75/1.16 { gt( n4, n2 ) }.
% 0.75/1.16 { gt( n5, n2 ) }.
% 0.75/1.16 { gt( n3, n2 ) }.
% 0.75/1.16 { gt( n4, n3 ) }.
% 0.75/1.16 { gt( n5, n3 ) }.
% 0.75/1.16 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.75/1.16 .
% 0.75/1.16 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.75/1.16 = n5 }.
% 0.75/1.16 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.75/1.16 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.75/1.16 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.75/1.16 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.75/1.16 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.75/1.16 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.75/1.16 { succ( n0 ) = n1 }.
% 0.75/1.16 { succ( succ( n0 ) ) = n2 }.
% 0.75/1.16 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.75/1.16
% 0.75/1.16 percentage equality = 0.222621, percentage horn = 0.880851
% 0.75/1.16 This is a problem with some equality
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Options Used:
% 0.75/1.16
% 0.75/1.16 useres = 1
% 0.75/1.16 useparamod = 1
% 0.75/1.16 useeqrefl = 1
% 0.75/1.16 useeqfact = 1
% 0.75/1.16 usefactor = 1
% 0.75/1.16 usesimpsplitting = 0
% 0.75/1.16 usesimpdemod = 5
% 0.75/1.16 usesimpres = 3
% 0.75/1.16
% 0.75/1.16 resimpinuse = 1000
% 0.75/1.16 resimpclauses = 20000
% 0.75/1.16 substype = eqrewr
% 0.75/1.16 backwardsubs = 1
% 0.75/1.16 selectoldest = 5
% 0.75/1.16
% 0.75/1.16 litorderings [0] = split
% 0.75/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.16
% 0.75/1.16 termordering = kbo
% 0.75/1.16
% 0.75/1.16 litapriori = 0
% 0.75/1.16 termapriori = 1
% 0.75/1.16 litaposteriori = 0
% 0.75/1.16 termaposteriori = 0
% 0.75/1.16 demodaposteriori = 0
% 0.75/1.16 ordereqreflfact = 0
% 0.75/1.16
% 0.75/1.16 litselect = negord
% 0.75/1.16
% 0.75/1.16 maxweight = 15
% 0.75/1.16 maxdepth = 30000
% 0.75/1.16 maxlength = 115
% 0.75/1.16 maxnrvars = 195
% 0.75/1.16 excuselevel = 1
% 0.75/1.16 increasemaxweight = 1
% 0.75/1.16
% 0.75/1.16 maxselected = 10000000
% 0.75/1.16 maxnrclauses = 10000000
% 0.75/1.16
% 0.75/1.16 showgenerated = 0
% 0.75/1.16 showkept = 0
% 0.75/1.16 showselected = 0
% 0.75/1.16 showdeleted = 0
% 0.75/1.16 showresimp = 1
% 0.75/1.16 showstatus = 2000
% 0.75/1.16
% 0.75/1.16 prologoutput = 0
% 0.75/1.16 nrgoals = 5000000
% 0.75/1.16 totalproof = 1
% 0.75/1.21
% 0.75/1.21 Symbols occurring in the translation:
% 0.75/1.21
% 0.75/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.21 . [1, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.75/1.21 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 0.75/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.21 gt [37, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.75/1.21 leq [39, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.75/1.21 lt [40, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.75/1.21 geq [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.75/1.21 pred [42, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.75/1.21 succ [43, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.75/1.21 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.21 uniform_int_rnd [46, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.75/1.21 dim [51, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.75/1.21 tptp_const_array1 [52, 2] (w:1, o:115, a:1, s:1, b:0),
% 0.75/1.21 a_select2 [53, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.75/1.21 tptp_const_array2 [59, 3] (w:1, o:142, a:1, s:1, b:0),
% 0.75/1.21 a_select3 [60, 3] (w:1, o:143, a:1, s:1, b:0),
% 0.75/1.21 trans [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.75/1.21 inv [64, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.75/1.21 tptp_update3 [67, 4] (w:1, o:160, a:1, s:1, b:0),
% 0.75/1.21 tptp_madd [69, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.75/1.21 tptp_msub [70, 2] (w:1, o:117, a:1, s:1, b:0),
% 0.75/1.21 tptp_mmul [71, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.75/1.21 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.75/1.21 sum [78, 3] (w:1, o:140, a:1, s:1, b:0),
% 0.75/1.21 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.75/1.21 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.75/1.21 plus [81, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.75/1.21 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.75/1.21 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.75/1.21 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.75/1.21 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.75/1.21 minus [86, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.75/1.21 tptp_update2 [91, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.75/1.21 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.75/1.21 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.75/1.21 use [94, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.21 rho_defuse [95, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.21 sigma_defuse [96, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.75/1.21 u_defuse [97, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.21 xinit_defuse [98, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.21 xinit_mean_defuse [99, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.21 xinit_noise_defuse [100, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.75/1.21 alpha1 [101, 2] (w:1, o:124, a:1, s:1, b:1),
% 0.75/1.21 alpha2 [102, 2] (w:1, o:130, a:1, s:1, b:1),
% 0.75/1.21 alpha3 [103, 2] (w:1, o:134, a:1, s:1, b:1),
% 0.75/1.21 alpha4 [104, 2] (w:1, o:135, a:1, s:1, b:1),
% 0.75/1.21 alpha5 [105, 2] (w:1, o:136, a:1, s:1, b:1),
% 0.75/1.21 alpha6 [106, 2] (w:1, o:137, a:1, s:1, b:1),
% 0.75/1.21 alpha7 [107, 2] (w:1, o:138, a:1, s:1, b:1),
% 0.75/1.21 alpha8 [108, 1] (w:1, o:62, a:1, s:1, b:1),
% 0.75/1.21 alpha9 [109, 2] (w:1, o:139, a:1, s:1, b:1),
% 0.75/1.21 alpha10 [110, 3] (w:1, o:145, a:1, s:1, b:1),
% 0.75/1.21 alpha11 [111, 3] (w:1, o:146, a:1, s:1, b:1),
% 0.75/1.21 alpha12 [112, 3] (w:1, o:147, a:1, s:1, b:1),
% 0.75/1.21 alpha13 [113, 2] (w:1, o:125, a:1, s:1, b:1),
% 0.75/1.21 alpha14 [114, 2] (w:1, o:126, a:1, s:1, b:1),
% 0.75/1.21 alpha15 [115, 2] (w:1, o:127, a:1, s:1, b:1),
% 0.75/1.21 alpha16 [116, 2] (w:1, o:128, a:1, s:1, b:1),
% 0.75/1.21 alpha17 [117, 3] (w:1, o:148, a:1, s:1, b:1),
% 0.75/1.21 alpha18 [118, 3] (w:1, o:149, a:1, s:1, b:1),
% 0.75/1.21 alpha19 [119, 2] (w:1, o:129, a:1, s:1, b:1),
% 0.75/1.21 alpha20 [120, 2] (w:1, o:131, a:1, s:1, b:1),
% 0.75/1.21 alpha21 [121, 3] (w:1, o:150, a:1, s:1, b:1),
% 0.75/1.21 alpha22 [122, 3] (w:1, o:151, a:1, s:1, b:1),
% 0.75/1.21 alpha23 [123, 3] (w:1, o:152, a:1, s:1, b:1),
% 0.75/1.21 alpha24 [124, 3] (w:1, o:153, a:1, s:1, b:1),
% 0.75/1.21 alpha25 [125, 3] (w:1, o:154, a:1, s:1, b:1),
% 0.75/1.21 alpha26 [126, 2] (w:1, o:132, a:1, s:1, b:1),
% 0.75/1.21 alpha27 [127, 2] (w:1, o:133, a:1, s:1, b:1),
% 0.75/1.21 alpha28 [128, 3] (w:1, o:155, a:1, s:1, b:1),
% 0.75/1.21 alpha29 [129, 3] (w:1, o:156, a:1, s:1, b:1),
% 0.75/1.21 alpha30 [130, 3] (w:1, o:157, a:1, s:1, b:1),
% 0.75/1.21 skol1 [131, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.75/1.21 skol2 [132, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.75/1.21 skol3 [133, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.75/1.21 skol4 [134, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.75/1.21 skol5 [135, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.75/1.21 skol6 [136, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.75/1.21 skol7 [137, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.75/1.21 skol8 [138, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.75/1.21 skol9 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.75/1.21 skol10 [140, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.75/1.21 skol11 [141, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.75/1.21 skol12 [142, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.75/1.21 skol13 [143, 4] (w:1, o:158, a:1, s:1, b:1),
% 0.75/1.21 skol14 [144, 3] (w:1, o:141, a:1, s:1, b:1),
% 0.75/1.21 skol15 [145, 0] (w:1, o:33, a:1, s:1, b:1),
% 0.75/1.21 skol16 [146, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.75/1.21 skol17 [147, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.75/1.21 skol18 [148, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.75/1.21 skol19 [149, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.75/1.21 skol20 [150, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.75/1.21 skol21 [151, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.75/1.21 skol22 [152, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.75/1.21 skol23 [153, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.75/1.21 skol24 [154, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.75/1.21 skol25 [155, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.75/1.21 skol26 [156, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.75/1.21 skol27 [157, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.75/1.21 skol28 [158, 4] (w:1, o:159, a:1, s:1, b:1),
% 0.75/1.21 skol29 [159, 0] (w:1, o:34, a:1, s:1, b:1),
% 0.75/1.21 skol30 [160, 1] (w:1, o:59, a:1, s:1, b:1).
% 0.75/1.21
% 0.75/1.21
% 0.75/1.21 Starting Search:
% 0.75/1.21
% 0.75/1.21 *** allocated 15000 integers for clauses
% 0.75/1.21 *** allocated 22500 integers for clauses
% 0.75/1.21 *** allocated 33750 integers for clauses
% 0.75/1.21 *** allocated 22500 integers for termspace/termends
% 0.75/1.21 *** allocated 50625 integers for clauses
% 0.75/1.21 *** allocated 75937 integers for clauses
% 0.75/1.21 Resimplifying inuse:
% 0.75/1.21 Done
% 0.75/1.21
% 0.75/1.21 *** allocated 33750 integers for termspace/termends
% 0.75/1.21 *** allocated 113905 integers for clauses
% 0.75/1.21
% 0.75/1.21 Bliksems!, er is een bewijs:
% 0.75/1.21 % SZS status Theorem
% 0.75/1.21 % SZS output start Refutation
% 0.75/1.21
% 0.75/1.21 (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.75/1.21 (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.75/1.21 (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 0.75/1.21 (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.75/1.21 (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.75/1.21 (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 0.75/1.21 (199) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 0.75/1.21 (201) {G0,W3,D2,L1,V0,M1} I { leq( skol29, tptp_minus_1 ) }.
% 0.75/1.21 (1377) {G1,W3,D2,L1,V0,M1} R(201,15);d(135) { gt( n0, skol29 ) }.
% 0.75/1.21 (1390) {G2,W6,D2,L2,V1,M2} R(1377,1) { ! gt( X, n0 ), gt( X, skol29 ) }.
% 0.75/1.21 (1391) {G3,W6,D2,L2,V1,M2} P(10,1377);r(1390) { gt( X, skol29 ), ! leq( n0
% 0.75/1.21 , X ) }.
% 0.75/1.21 (1665) {G4,W6,D2,L2,V1,M2} P(0,199);r(1391) { gt( skol29, X ), gt( X,
% 0.75/1.21 skol29 ) }.
% 0.75/1.21 (1666) {G5,W0,D0,L0,V0,M0} F(1665);r(2) { }.
% 0.75/1.21
% 0.75/1.21
% 0.75/1.21 % SZS output end Refutation
% 0.75/1.21 found a proof!
% 0.75/1.21
% 0.75/1.21
% 0.75/1.21 Unprocessed initial clauses:
% 0.75/1.21
% 0.75/1.21 (1668) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.75/1.21 (1669) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.75/1.21 (1670) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 0.75/1.21 (1671) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.75/1.21 (1672) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.75/1.21 (1673) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 0.75/1.21 (1674) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 0.75/1.21 (1675) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1676) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 0.75/1.21 (1677) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 0.75/1.21 (1678) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.75/1.21 (1679) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.75/1.21 (1680) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.75/1.21 (1681) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 0.75/1.21 (1682) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.75/1.21 (1683) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.75/1.21 (1684) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.75/1.21 (1685) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 0.75/1.21 , X ) }.
% 0.75/1.21 (1686) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y,
% 0.75/1.21 X ) ) }.
% 0.75/1.21 (1687) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 0.75/1.21 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 0.75/1.21 (1688) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 0.75/1.21 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 0.75/1.21 V0 ), X, T ) = V0 }.
% 0.75/1.21 (1689) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 0.75/1.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.75/1.21 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 0.75/1.21 (1690) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 0.75/1.21 ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 0.75/1.21 = a_select3( trans( X ), T, Z ) }.
% 0.75/1.21 (1691) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.75/1.21 (1692) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1693) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1694) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.21 X ), alpha10( X, Y, Z ) }.
% 0.75/1.21 (1695) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1696) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1697) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y )
% 0.75/1.21 }.
% 0.75/1.21 (1698) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 0.75/1.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.75/1.21 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 0.75/1.21 (1699) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 0.75/1.21 ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.75/1.21 a_select3( inv( X ), T, Z ) }.
% 0.75/1.21 (1700) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.75/1.21 (1701) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1702) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1703) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.21 X ), alpha11( X, Y, Z ) }.
% 0.75/1.21 (1704) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1705) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1706) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y )
% 0.75/1.21 }.
% 0.75/1.21 (1707) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 0.75/1.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 0.75/1.21 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 0.75/1.21 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.75/1.21 (1708) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 0.75/1.21 ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 0.75/1.21 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 0.75/1.21 ( X, U, U, W ), T, Z ) }.
% 0.75/1.21 (1709) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.75/1.21 (1710) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1711) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1712) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.21 X ), alpha12( X, Y, Z ) }.
% 0.75/1.21 (1713) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1714) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1715) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y )
% 0.75/1.21 }.
% 0.75/1.21 (1716) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 0.75/1.21 skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.75/1.21 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 0.75/1.21 ), U, T ) }.
% 0.75/1.21 (1717) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 0.75/1.21 ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), !
% 0.75/1.21 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.75/1.21 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.75/1.21 (1718) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.75/1.21 (1719) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1720) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1721) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.21 , X ), alpha22( X, Y, Z ) }.
% 0.75/1.21 (1722) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1723) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1724) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1725) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 0.75/1.21 , skol20( X, Y ) ) }.
% 0.75/1.21 (1726) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X,
% 0.75/1.21 Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.75/1.21 (1727) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) =
% 0.75/1.21 a_select3( X, T, Z ), alpha4( X, Y ) }.
% 0.75/1.21 (1728) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.75/1.21 (1729) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1730) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1731) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.21 , X ), alpha23( X, Y, Z ) }.
% 0.75/1.21 (1732) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1733) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1734) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1735) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 0.75/1.21 skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 0.75/1.21 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 0.75/1.21 ), U, T ) }.
% 0.75/1.21 (1736) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 0.75/1.21 ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), !
% 0.75/1.21 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 0.75/1.21 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.75/1.21 (1737) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.75/1.21 (1738) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1739) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1740) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.21 , X ), alpha24( X, Y, Z ) }.
% 0.75/1.21 (1741) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1742) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1743) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1744) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 0.75/1.21 , skol22( X, Y ) ) }.
% 0.75/1.21 (1745) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X,
% 0.75/1.21 Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.75/1.21 (1746) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) =
% 0.75/1.21 a_select3( X, T, Z ), alpha5( X, Y ) }.
% 0.75/1.21 (1747) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.75/1.21 (1748) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1749) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1750) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.21 , X ), alpha25( X, Y, Z ) }.
% 0.75/1.21 (1751) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1752) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1753) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1754) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 0.75/1.21 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 0.75/1.21 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 0.75/1.21 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.75/1.21 (1755) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 0.75/1.21 ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.21 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 0.75/1.21 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 0.75/1.21 ( X, trans( U ) ) ), T, Z ) }.
% 0.75/1.21 (1756) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.75/1.21 (1757) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1758) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1759) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.21 X ), alpha17( X, Y, Z ) }.
% 0.75/1.21 (1760) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1761) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1762) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y )
% 0.75/1.21 }.
% 0.75/1.21 (1763) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 0.75/1.21 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 0.75/1.21 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 0.75/1.21 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.75/1.21 (1764) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 0.75/1.21 ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 0.75/1.21 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 0.75/1.21 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 0.75/1.21 ( X, trans( W ) ) ), T, Z ) }.
% 0.75/1.21 (1765) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.75/1.21 (1766) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1767) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1768) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z,
% 0.75/1.21 X ), alpha18( X, Y, Z ) }.
% 0.75/1.21 (1769) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1770) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1771) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y )
% 0.75/1.21 }.
% 0.75/1.21 (1772) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 0.75/1.21 skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 0.75/1.21 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 0.75/1.21 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 0.75/1.21 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 0.75/1.21 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 0.75/1.21 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 0.75/1.21 ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.75/1.21 (1773) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3(
% 0.75/1.21 Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ),
% 0.75/1.21 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 0.75/1.21 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 0.75/1.21 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 0.75/1.21 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 0.75/1.21 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 0.75/1.21 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 0.75/1.21 ) ), W, U ) }.
% 0.75/1.21 (1774) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.75/1.21 (1775) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1776) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1777) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.21 , X ), alpha29( X, Y, Z ) }.
% 0.75/1.21 (1778) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1779) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1780) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1781) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 0.75/1.21 ), skol26( X, Y ) ) }.
% 0.75/1.21 (1782) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11( X
% 0.75/1.21 , Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 0.75/1.21 }.
% 0.75/1.21 (1783) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) =
% 0.75/1.21 a_select3( X, T, Z ), alpha19( X, Y ) }.
% 0.75/1.21 (1784) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.75/1.21 (1785) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1786) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1787) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.21 , X ), alpha30( X, Y, Z ) }.
% 0.75/1.21 (1788) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1789) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1790) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1791) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 0.75/1.21 skol27( X, Y ) ) }.
% 0.75/1.21 (1792) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 0.75/1.21 ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.75/1.21 (1793) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol30( X ), Y, Z ), a_select3( X
% 0.75/1.21 , Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 0.75/1.21 (1794) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.75/1.21 (1795) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.21 (1796) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.21 (1797) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 0.75/1.21 , X ), alpha28( X, Y, Z ) }.
% 0.75/1.21 (1798) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1799) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.75/1.21 (1800) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1801) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.75/1.21 (1802) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 0.75/1.21 }.
% 0.75/1.21 (1803) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 0.75/1.21 (1804) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 0.75/1.21 (1805) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 0.75/1.21 (1806) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.75/1.21 (1807) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 0.75/1.21 (1808) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.21 (1809) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.21 (1810) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X ) )
% 0.75/1.21 ) ) }.
% 0.75/1.21 (1811) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X ) )
% 0.75/1.21 ) ) }.
% 0.75/1.21 (1812) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ( succ
% 0.75/1.21 ( X ) ) ) ) ) }.
% 0.75/1.21 (1813) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ( succ
% 0.75/1.21 ( X ) ) ) ) ) }.
% 0.75/1.21 (1814) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 0.75/1.21 (1815) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 0.75/1.21 (1816) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 0.75/1.21 (1817) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 0.75/1.21 }.
% 0.75/1.21 (1818) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 0.75/1.21 }.
% 0.75/1.21 (1819) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.75/1.21 (1820) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.75/1.21 (1821) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 0.75/1.21 ) = T }.
% 0.75/1.21 (1822) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W,
% 0.75/1.21 a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 0.75/1.21 (1823) {G0,W29,D4,L6,V9,M6} { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0
% 0.75/1.21 , X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.75/1.21 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.21 (1824) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 0.75/1.21 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 0.75/1.21 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.21 (1825) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ), skol28
% 0.75/1.21 ( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), !
% 0.75/1.21 leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.21 (1826) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.75/1.21 (1827) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.75/1.21 (1828) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 0.75/1.21 , Y, Z ) }.
% 0.75/1.21 (1829) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.75/1.21 (1830) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.75/1.21 (1831) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 0.75/1.21 ) }.
% 0.75/1.21 (1832) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 0.75/1.21 }.
% 0.75/1.21 (1833) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 0.75/1.21 tptp_update2( Z, X, U ), Y ) = T }.
% 0.75/1.21 (1834) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 0.75/1.21 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.21 (1835) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 0.75/1.21 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.21 (1836) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 0.75/1.21 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 0.75/1.21 }.
% 0.75/1.21 (1837) {G0,W1,D1,L1,V0,M1} { true }.
% 0.75/1.21 (1838) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 0.75/1.21 (1839) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n0 ) = use }.
% 0.75/1.21 (1840) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n1 ) = use }.
% 0.75/1.21 (1841) {G0,W5,D3,L1,V0,M1} { a_select2( rho_defuse, n2 ) = use }.
% 0.75/1.21 (1842) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n0 ) = use }.
% 0.75/1.21 (1843) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n1 ) = use }.
% 0.75/1.21 (1844) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n2 ) = use }.
% 0.75/1.21 (1845) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n3 ) = use }.
% 0.75/1.21 (1846) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n4 ) = use }.
% 0.75/1.21 (1847) {G0,W5,D3,L1,V0,M1} { a_select2( sigma_defuse, n5 ) = use }.
% 0.75/1.21 (1848) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n0, n0 ) = use }.
% 0.75/1.21 (1849) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n1, n0 ) = use }.
% 0.75/1.21 (1850) {G0,W6,D3,L1,V0,M1} { a_select3( u_defuse, n2, n0 ) = use }.
% 0.75/1.21 (1851) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n3 ) = use }.
% 0.75/1.21 (1852) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n4 ) = use }.
% 0.75/1.21 (1853) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_defuse, n5 ) = use }.
% 0.75/1.21 (1854) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.75/1.21 (1855) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.75/1.21 (1856) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.75/1.21 (1857) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.75/1.21 (1858) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.75/1.21 (1859) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.75/1.21 (1860) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.75/1.21 (1861) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.75/1.21 (1862) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.75/1.21 (1863) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.75/1.21 (1864) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.75/1.21 (1865) {G0,W5,D3,L1,V0,M1} { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.75/1.21 (1866) {G0,W3,D2,L1,V0,M1} { leq( n0, skol15 ) }.
% 0.75/1.21 (1867) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 0.75/1.21 (1868) {G0,W3,D2,L1,V0,M1} { leq( skol15, n2 ) }.
% 0.75/1.21 (1869) {G0,W3,D2,L1,V0,M1} { leq( skol29, tptp_minus_1 ) }.
% 0.75/1.21 (1870) {G0,W6,D3,L1,V0,M1} { ! a_select3( u_defuse, skol15, skol29 ) = use
% 0.75/1.21 }.
% 0.75/1.21 (1871) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 0.75/1.21 (1872) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 0.75/1.21 (1873) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 0.75/1.21 (1874) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 0.75/1.21 (1875) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 0.75/1.21 (1876) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 0.75/1.21 (1877) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 0.75/1.21 (1878) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 0.75/1.21 (1879) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 0.75/1.21 (1880) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 0.75/1.21 (1881) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 0.75/1.21 (1882) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 0.75/1.21 (1883) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 0.75/1.21 (1884) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 0.75/1.21 (1885) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 0.75/1.21 (1886) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 0.75/1.21 (1887) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 0.75/1.21 (1888) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 0.75/1.21 (1889) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 0.75/1.21 (1890) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 0.75/1.21 (1891) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 0.75/1.21 (1892) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 0.75/1.21 n1, X = n2, X = n3, X = n4 }.
% 0.75/1.21 (1893) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 0.75/1.21 n1, X = n2, X = n3, X = n4, X = n5 }.
% 0.75/1.21 (1894) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.75/1.21 (1895) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 0.75/1.21 n1 }.
% 0.75/1.21 (1896) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 0.75/1.21 n1, X = n2 }.
% 0.75/1.21 (1897) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 0.75/1.21 n1, X = n2, X = n3 }.
% 0.75/1.21 (1898) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.75/1.21 (1899) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 0.75/1.21 n5 }.
% 0.75/1.21 (1900) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 0.75/1.21 (1901) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 0.75/1.21 (1902) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.75/1.21
% 0.75/1.21
% 0.75/1.21 Total Proof:
% 0.75/1.21
% 0.75/1.21 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { gt( X, Y ), gt( Y, X ), X = Y }.
% 135.83/136.32 parent0: (1668) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := X
% 135.83/136.32 Y := Y
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 1 ==> 1
% 135.83/136.32 2 ==> 2
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 subsumption: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X
% 135.83/136.32 , Y ) }.
% 135.83/136.32 parent0: (1669) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y
% 135.83/136.32 ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := X
% 135.83/136.32 Y := Y
% 135.83/136.32 Z := Z
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 1 ==> 1
% 135.83/136.32 2 ==> 2
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! gt( X, X ) }.
% 135.83/136.32 parent0: (1670) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := X
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 135.83/136.32 }.
% 135.83/136.32 parent0: (1678) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := X
% 135.83/136.32 Y := Y
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 1 ==> 1
% 135.83/136.32 2 ==> 2
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 subsumption: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 135.83/136.32 }.
% 135.83/136.32 parent0: (1683) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X )
% 135.83/136.32 }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := X
% 135.83/136.32 Y := Y
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 1 ==> 1
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 *** allocated 50625 integers for termspace/termends
% 135.83/136.32 subsumption: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 135.83/136.32 parent0: (1803) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 135.83/136.32 substitution0:
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 *** allocated 75937 integers for termspace/termends
% 135.83/136.32 subsumption: (199) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol29 ) }.
% 135.83/136.32 parent0: (1867) {G0,W3,D2,L1,V0,M1} { leq( n0, skol29 ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 *** allocated 170857 integers for clauses
% 135.83/136.32 *** allocated 113905 integers for termspace/termends
% 135.83/136.32 subsumption: (201) {G0,W3,D2,L1,V0,M1} I { leq( skol29, tptp_minus_1 ) }.
% 135.83/136.32 parent0: (1869) {G0,W3,D2,L1,V0,M1} { leq( skol29, tptp_minus_1 ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 resolution: (3407) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ), skol29
% 135.83/136.32 ) }.
% 135.83/136.32 parent0[0]: (15) {G0,W7,D3,L2,V2,M2} I { ! leq( X, Y ), gt( succ( Y ), X )
% 135.83/136.32 }.
% 135.83/136.32 parent1[0]: (201) {G0,W3,D2,L1,V0,M1} I { leq( skol29, tptp_minus_1 ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := skol29
% 135.83/136.32 Y := tptp_minus_1
% 135.83/136.32 end
% 135.83/136.32 substitution1:
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 paramod: (3408) {G1,W3,D2,L1,V0,M1} { gt( n0, skol29 ) }.
% 135.83/136.32 parent0[0]: (135) {G0,W4,D3,L1,V0,M1} I { succ( tptp_minus_1 ) ==> n0 }.
% 135.83/136.32 parent1[0; 1]: (3407) {G1,W4,D3,L1,V0,M1} { gt( succ( tptp_minus_1 ),
% 135.83/136.32 skol29 ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 end
% 135.83/136.32 substitution1:
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 subsumption: (1377) {G1,W3,D2,L1,V0,M1} R(201,15);d(135) { gt( n0, skol29 )
% 135.83/136.32 }.
% 135.83/136.32 parent0: (3408) {G1,W3,D2,L1,V0,M1} { gt( n0, skol29 ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 resolution: (3410) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol29 )
% 135.83/136.32 }.
% 135.83/136.32 parent0[1]: (1) {G0,W9,D2,L3,V3,M3} I { ! gt( X, Z ), ! gt( Z, Y ), gt( X,
% 135.83/136.32 Y ) }.
% 135.83/136.32 parent1[0]: (1377) {G1,W3,D2,L1,V0,M1} R(201,15);d(135) { gt( n0, skol29 )
% 135.83/136.32 }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := X
% 135.83/136.32 Y := skol29
% 135.83/136.32 Z := n0
% 135.83/136.32 end
% 135.83/136.32 substitution1:
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 subsumption: (1390) {G2,W6,D2,L2,V1,M2} R(1377,1) { ! gt( X, n0 ), gt( X,
% 135.83/136.32 skol29 ) }.
% 135.83/136.32 parent0: (3410) {G1,W6,D2,L2,V1,M2} { ! gt( X, n0 ), gt( X, skol29 ) }.
% 135.83/136.32 substitution0:
% 135.83/136.32 X := X
% 135.83/136.32 end
% 135.83/136.32 permutation0:
% 135.83/136.32 0 ==> 0
% 135.83/136.32 1 ==> 1
% 135.83/136.32 end
% 135.83/136.32
% 135.83/136.32 *** allocated 15000 integers for justifications
% 135.83/136.32 *** allocated 22500 integers for justifications
% 135.83/136.32 *** allocated 170857 integers for termspace/termends
% 135.83/136.32 *** allocated 33750 integers for justifications
% 135.83/136.32 *** allocated 50625 integers for justifications
% 135.83/136.32 *** allocated 256285 integers for clauses
% 135.83/136.32 *** allocated 75937 integers for justifications
% 135.83/136.32 *** allocated 256285 integers for termspace/termends
% 135.83/136.32 *** allocated 113905 integers for justifications
% 135.83/136.32 *** allocated 384427 integers for termspace/termends
% 135.83/136.32 *** allocated 170857 integers for justifications
% 135.83/136.32 *** allocated 384427 integers for clauses
% 135.83/136.32 *** allocated 256285 integers for justifications
% 135.83/136.32 *** allocated 576640 integers for termspace/termends
% 135.83/136.32 *** allocated 576640 integers for clauses
% 135.83/136.32 *** allocated 384427 integers for justifications
% 135.83/136.32 *** allocated 864960 integers for termspace/termends
% 135.83/136.32 *** allocated 576640 integers for justifications
% 135.83/136.32 *** alCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------